id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
| label
stringclasses 3
values | arg
stringlengths 54
2.02k
| statements
stringlengths 51
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int64 1
7
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6,993 |
["Provided that the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, we know that small dogs are located in apartment houses.", 'Provided that peace is the most covetable possession on the earth, we know that if those that suggest serotine bats emit calls are wrong, then it is a common misconception that trails have (part) readsides.', "The statement 'peace is the most covetable possession on the earth' can be considered true.", "Whenever it is true that if some rheas live in open grassland, then storks fly with their necks stretched out, 'if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then powdery mildew is controlled with resistant cultivars' is true.", "Given that most dusky pademelons reach maturity, it can be inferred that if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then powdery mildew is controlled with resistant cultivars.", 'At least one of two things is true: roses are red, or either administrative controls mean introducing work practices which reduce risk or industrial maintenance is a long-term business.', "Given that roses are red, it can be inferred that if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then it is a common misconception that powdery mildew is controlled with resistant cultivars.", "So long as either administrative controls mean introducing work practices which reduce risk or industrial maintenance is a long-term business, 'if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then it is a common misconception that powdery mildew is controlled with resistant cultivars' is true.", 'It is rational to believe that either either videotape recorders are services regularly to meet quality standards for all video projects or spammers often forge the delivery headers of email to disguise where they are sending it from or either builders will have requirements or dry storage is located in pantries.', 'On the condition that either videotape recorders are services regularly to meet quality standards for all video projects or spammers often forge the delivery headers of email to disguise where they are sending it from, it is definitely the case that if some rheas live in open grassland, then storks fly with their necks stretched out.', 'Given that either builders will have requirements or dry storage is located in pantries, it can be inferred that most dusky pademelons reach maturity.']
|
Provided that the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, we know that small dogs are located in apartment houses. Provided that peace is the most covetable possession on the earth, we know that if those that suggest serotine bats emit calls are wrong, then it is a common misconception that trails have (part) readsides. The statement 'peace is the most covetable possession on the earth' can be considered true. Whenever it is true that if some rheas live in open grassland, then storks fly with their necks stretched out, 'if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then powdery mildew is controlled with resistant cultivars' is true. Given that most dusky pademelons reach maturity, it can be inferred that if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then powdery mildew is controlled with resistant cultivars. At least one of two things is true: roses are red, or either administrative controls mean introducing work practices which reduce risk or industrial maintenance is a long-term business. Given that roses are red, it can be inferred that if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then it is a common misconception that powdery mildew is controlled with resistant cultivars. So long as either administrative controls mean introducing work practices which reduce risk or industrial maintenance is a long-term business, 'if it is not the case that if the notion that 'if those that suggest serotine bats emit calls are wrong, then trails have (part) readsides' is untrue, then we know that the claim that small dogs are located in apartment houses is false, then it is a common misconception that powdery mildew is controlled with resistant cultivars' is true. It is rational to believe that either either videotape recorders are services regularly to meet quality standards for all video projects or spammers often forge the delivery headers of email to disguise where they are sending it from or either builders will have requirements or dry storage is located in pantries. On the condition that either videotape recorders are services regularly to meet quality standards for all video projects or spammers often forge the delivery headers of email to disguise where they are sending it from, it is definitely the case that if some rheas live in open grassland, then storks fly with their necks stretched out. Given that either builders will have requirements or dry storage is located in pantries, it can be inferred that most dusky pademelons reach maturity.
|
The idea that serotine bats emit calls is true.
|
The statement that states serotine bats emit calls is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2].
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [4]. [SC1-3]
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then (Not [4].). [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10]. [SC1-4]
If (If [8], then [9].), then (If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [4].).
If [10], then (If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [4].).
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [4]..
[SC1-4]
Constructive Dilemma:
Either (Either [11] or [12].) or (Either [13] or [14].).
If (Either [11] or [12].), then (If [8], then [9].).
If (Either [13] or [14].), then [10].
Therefore, Either (If [8], then [9].) or [10]..
[SC2-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then (Not [4].).).
If (Either [6] or [7].), then (If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then (Not [4].).).
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then (Not [4].)..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).).
[3]
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Serotine bats emit calls.', 1: 'Trails have (part) readsides.', 2: 'Small dogs are located in apartment houses.', 3: 'Peace is the most covetable possession on the earth.', 4: 'Powdery mildew is controlled with resistant cultivars.', 5: 'Roses are red.', 6: 'Administrative controls mean introducing work practices which reduce risk.', 7: 'Industrial maintenance is a long-term business.', 8: 'Some rheas live in open grassland.', 9: 'Storks fly with their necks stretched out.', 10: 'Most dusky pademelons reach maturity.', 11: 'Videotape recorders are services regularly to meet quality standards for all video projects.', 12: 'Spammers often forge the delivery headers of email to disguise where they are sending it from.', 13: 'Builders will have requirements.', 14: 'Dry storage is located in pantries.'}
| 7 |
6,859 |
['When the claim that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then people are only visible if they are in motion has no merit is true, it follows that nuts are still a symbol of fertility in Southwest England .', 'Assuming the claim that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then people are only visible if they are in motion has no merit, we know that the claim that nuts are still a symbol of fertility in Southwest England is false.', 'Once we know some tumors affect dogs, we also know that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then the claim that people are only visible if they are in motion is false.', "Whenever it is true that if optometrists often work in close association with ophthalmologists, then barium sulfate is reduced to barium sulfide by carbon, 'inability needs attention' is true.", 'Should it be the case that most fungi live on the substrate upon which they feed, it follows that some tumors affect dogs.', 'Should it be the case that the statement that states if inability needs attention, then if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then the claim that people are only visible if they are in motion is false is false, it follows that some whales are eaten by whales.', 'The claim that some whales are eaten by whales is false.', 'Either one or both of these statements are true: if many sauces have multiple uses, then forams have external skeleton of calcium carbonate with psuedopods out of perforations, or either some pituitary glands have lobes or relative errors are a percentage of the average deviation in terms of step size.', 'Once we know if many sauces have multiple uses, then forams have external skeleton of calcium carbonate with psuedopods out of perforations, we also know that if optometrists often work in close association with ophthalmologists, then barium sulfate is reduced to barium sulfide by carbon.', "Whenever it is true that either some pituitary glands have lobes or relative errors are a percentage of the average deviation in terms of step size, 'aggressive behavior is linked to the action of the amygdala , which lies next to the hippocampus' is true.", 'If aggressive behavior is linked to the action of the amygdala , which lies next to the hippocampus, then most fungi live on the substrate upon which they feed.']
|
When the claim that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then people are only visible if they are in motion has no merit is true, it follows that nuts are still a symbol of fertility in Southwest England . Assuming the claim that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then people are only visible if they are in motion has no merit, we know that the claim that nuts are still a symbol of fertility in Southwest England is false. Once we know some tumors affect dogs, we also know that if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then the claim that people are only visible if they are in motion is false. Whenever it is true that if optometrists often work in close association with ophthalmologists, then barium sulfate is reduced to barium sulfide by carbon, 'inability needs attention' is true. Should it be the case that most fungi live on the substrate upon which they feed, it follows that some tumors affect dogs. Should it be the case that the statement that states if inability needs attention, then if the statement, language is the only barrier to communication with almost any spot in the world, does not hold, then the claim that people are only visible if they are in motion is false is false, it follows that some whales are eaten by whales. The claim that some whales are eaten by whales is false. Either one or both of these statements are true: if many sauces have multiple uses, then forams have external skeleton of calcium carbonate with psuedopods out of perforations, or either some pituitary glands have lobes or relative errors are a percentage of the average deviation in terms of step size. Once we know if many sauces have multiple uses, then forams have external skeleton of calcium carbonate with psuedopods out of perforations, we also know that if optometrists often work in close association with ophthalmologists, then barium sulfate is reduced to barium sulfide by carbon. Whenever it is true that either some pituitary glands have lobes or relative errors are a percentage of the average deviation in terms of step size, 'aggressive behavior is linked to the action of the amygdala , which lies next to the hippocampus' is true. If aggressive behavior is linked to the action of the amygdala , which lies next to the hippocampus, then most fungi live on the substrate upon which they feed.
|
The idea that language is the only barrier to communication with almost any spot in the world is true.
|
The statement that 'language is the only barrier to communication with almost any spot in the world' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2].
If (Not (If (Not [0].), then [1].).), then (Not [2].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [4], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either (If [6], then [7].) or [8]. [SC1-3]
If (If [6], then [7].), then [3].
If [8], then [4].
Therefore, Either [3] or [4]..
[SC1-3]
Constructive Dilemma:
Either (If [9], then [10].) or (Either [11] or [12].).
If (If [9], then [10].), then (If [6], then [7].).
If (Either [11] or [12].), then [8]. [SC3-4]
Therefore, Either (If [6], then [7].) or [8]..
[SC3-4]
Hypothetical Syllogism:
If (Either [11] or [12].), then [13].
If [13], then [8].
Therefore, If (Either [11] or [12].), then [8]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [5].
Not [5].
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Language is the only barrier to communication with almost any spot in the world.', 1: 'People are only visible if they are in motion.', 2: 'Nuts are still a symbol of fertility in Southwest England .', 3: 'Inability needs attention.', 4: 'Some tumors affect dogs.', 5: 'Some whales are eaten by whales.', 6: 'Optometrists often work in close association with ophthalmologists.', 7: 'Barium sulfate is reduced to barium sulfide by carbon.', 8: 'Most fungi live on the substrate upon which they feed.', 9: 'Many sauces have multiple uses.', 10: 'Forams have external skeleton of calcium carbonate with psuedopods out of perforations.', 11: 'Some pituitary glands have lobes.', 12: 'Relative errors are a percentage of the average deviation in terms of step size.', 13: 'Aggressive behavior is linked to the action of the amygdala , which lies next to the hippocampus.'}
| 7 |
6,298 |
['Provided that paranoid personality is when people are unreasonably suspicious or distrustful of others, we know that if some soft materials have high permeability, then a required course is a course.', "So long as the claim that either paranoid personality is when people are unreasonably suspicious or distrustful of others or if lignin picks up the red dye so the walls appear pinkish, then spider mites prefer dry conditions does not reflect reality, 'if good nutrition is an important part of any pregnancy, then depression coupled with anxiety attacks are relatively common among women in poverty' is true.", 'The statement, if good nutrition is an important part of any pregnancy, then depression coupled with anxiety attacks are relatively common among women in poverty, does not hold.', 'On the condition that if lignin picks up the red dye so the walls appear pinkish, then spider mites prefer dry conditions, it is definitely the case that some insects fly over sea.', 'One may reasonably assume that if some insects fly over sea, then if some soft materials have high permeability, then a required course is a course.', "Whenever it is true that if tree climbing is a sharing experience, then fleas are very small bugs, 'either if most squirrels have glide membranes, then striking exercises become ways to learn to focus the spirit as well as the power of the fist or the statement that 'a required course is a course' is incorrect' is true.", 'If tree climbing is a sharing experience, then fleas are very small bugs.', 'If doctors can, for the first time, take into account the internal movement of organs, then it is a common misconception that if most squirrels have glide membranes, then striking exercises become ways to learn to focus the spirit as well as the power of the fist.', 'We can assume that doctors can, for the first time, take into account the internal movement of organs.']
|
Provided that paranoid personality is when people are unreasonably suspicious or distrustful of others, we know that if some soft materials have high permeability, then a required course is a course. So long as the claim that either paranoid personality is when people are unreasonably suspicious or distrustful of others or if lignin picks up the red dye so the walls appear pinkish, then spider mites prefer dry conditions does not reflect reality, 'if good nutrition is an important part of any pregnancy, then depression coupled with anxiety attacks are relatively common among women in poverty' is true. The statement, if good nutrition is an important part of any pregnancy, then depression coupled with anxiety attacks are relatively common among women in poverty, does not hold. On the condition that if lignin picks up the red dye so the walls appear pinkish, then spider mites prefer dry conditions, it is definitely the case that some insects fly over sea. One may reasonably assume that if some insects fly over sea, then if some soft materials have high permeability, then a required course is a course. Whenever it is true that if tree climbing is a sharing experience, then fleas are very small bugs, 'either if most squirrels have glide membranes, then striking exercises become ways to learn to focus the spirit as well as the power of the fist or the statement that 'a required course is a course' is incorrect' is true. If tree climbing is a sharing experience, then fleas are very small bugs. If doctors can, for the first time, take into account the internal movement of organs, then it is a common misconception that if most squirrels have glide membranes, then striking exercises become ways to learn to focus the spirit as well as the power of the fist. We can assume that doctors can, for the first time, take into account the internal movement of organs.
|
The notion that 'some soft materials have high permeability' is untrue.
|
The notion that 'some soft materials have high permeability' is untrue.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].). [SC1-2]
If [4], then (If [0], then [1].).
If (If [5], then [6].), then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (If [5], then [6].).).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Either [4] or (If [5], then [6].)..
[SC3-2]
Hypothetical Syllogism:
If (If [5], then [6].), then [12].
If [12], then (If [0], then [1].).
Therefore, If (If [5], then [6].), then (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (Not [1].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (Either (If [2], then [3].) or (Not [1].).).
If [7], then [8].
Therefore, Either (If [2], then [3].) or (Not [1].)..
[SC2-2]
Modus Ponens:
If [11], then (Not (If [2], then [3].).).
[11]
Therefore, Not (If [2], then [3].)..
|
{0: 'Some soft materials have high permeability.', 1: 'A required course is a course.', 2: 'Most squirrels have glide membranes.', 3: 'Striking exercises become ways to learn to focus the spirit as well as the power of the fist.', 4: 'Paranoid personality is when people are unreasonably suspicious or distrustful of others.', 5: 'Lignin picks up the red dye so the walls appear pinkish.', 6: 'Spider mites prefer dry conditions.', 7: 'Tree climbing is a sharing experience.', 8: 'Fleas are very small bugs.', 9: 'Good nutrition is an important part of any pregnancy.', 10: 'Depression coupled with anxiety attacks are relatively common among women in poverty.', 11: 'Doctors can, for the first time, take into account the internal movement of organs.', 12: 'Some insects fly over sea.'}
| 7 |
6,553 |
['Assuming protein is found in practically every food, we know that plants have tiny openings on the underside of their leaves and stems.', 'Given that if winds are lightest in the winter and highest in the summer, except for occasional storm systems, then men take care, it can be inferred that plants have tiny openings on the underside of their leaves and stems.', 'Once we know patterns are any sets of numerical data which can be used to describe or represent an object, we also know that protein is found in practically every food.', 'Given that freeways are used for travel, it can be inferred that either patterns are any sets of numerical data which can be used to describe or represent an object or larvae possess eyes.', 'One may reasonably assume that if friendship comes in all shapes and colors, then either patterns are any sets of numerical data which can be used to describe or represent an object or larvae possess eyes.', 'One may reasonably assume that if angiograms are X-ray pictures of arteries which display blood flow problems and blockages, then either freeways are used for travel or friendship comes in all shapes and colors.', 'It is reasonable to believe that angiograms are X-ray pictures of arteries which display blood flow problems and blockages.', "So long as those that suggest if if blast furnaces are very large , then green grass reflects green light, then if larvae possess eyes, then if winds are lightest in the winter and highest in the summer, except for occasional storm systems, then men take care are wrong, 'turtles have (part) breasts' is true.", 'It is not the case that turtles have (part) breasts.', 'If the claim that if blast furnaces are very large , then green grass reflects green light does not reflect reality, then if masqueradings are acting, then some anorexia causes ulcer.', 'The claim that if masqueradings are acting, then some anorexia causes ulcer does not reflect reality.']
|
Assuming protein is found in practically every food, we know that plants have tiny openings on the underside of their leaves and stems. Given that if winds are lightest in the winter and highest in the summer, except for occasional storm systems, then men take care, it can be inferred that plants have tiny openings on the underside of their leaves and stems. Once we know patterns are any sets of numerical data which can be used to describe or represent an object, we also know that protein is found in practically every food. Given that freeways are used for travel, it can be inferred that either patterns are any sets of numerical data which can be used to describe or represent an object or larvae possess eyes. One may reasonably assume that if friendship comes in all shapes and colors, then either patterns are any sets of numerical data which can be used to describe or represent an object or larvae possess eyes. One may reasonably assume that if angiograms are X-ray pictures of arteries which display blood flow problems and blockages, then either freeways are used for travel or friendship comes in all shapes and colors. It is reasonable to believe that angiograms are X-ray pictures of arteries which display blood flow problems and blockages. So long as those that suggest if if blast furnaces are very large , then green grass reflects green light, then if larvae possess eyes, then if winds are lightest in the winter and highest in the summer, except for occasional storm systems, then men take care are wrong, 'turtles have (part) breasts' is true. It is not the case that turtles have (part) breasts. If the claim that if blast furnaces are very large , then green grass reflects green light does not reflect reality, then if masqueradings are acting, then some anorexia causes ulcer. The claim that if masqueradings are acting, then some anorexia causes ulcer does not reflect reality.
|
It is reasonable to believe that plants have tiny openings on the underside of their leaves and stems.
|
The claim that plants have tiny openings on the underside of their leaves and stems is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0].
If (If [2], then [3].), then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1].
If [5], then (If [2], then [3].). [SC3-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9]. [SC1-3]
If [8], then (Either [4] or [5].).
If [9], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC1-3]
Modus Ponens:
If [11], then (Either [8] or [9].).
[11]
Therefore, Either [8] or [9]..
[SC3-2]
Modus Ponens:
If (If [6], then [7].), then (If [5], then (If [2], then [3].).). [SC1-3]
If [6], then [7]. [SC2-3]
Therefore, If [5], then (If [2], then [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (If [6], then [7].), then (If [5], then (If [2], then [3].).).).), then [10].
Not [10].
Therefore, If (If [6], then [7].), then (If [5], then (If [2], then [3].).)..
[SC2-3]
Modus Tonens:
If (Not (If [6], then [7].).), then (If [12], then [13].).
Not (If [12], then [13].).
Therefore, If [6], then [7]..
|
{0: 'Plants have tiny openings on the underside of their leaves and stems.', 1: 'Protein is found in practically every food.', 2: 'Winds are lightest in the winter and highest in the summer, except for occasional storm systems.', 3: 'Men take care.', 4: 'Patterns are any sets of numerical data which can be used to describe or represent an object.', 5: 'Larvae possess eyes.', 6: 'Blast furnaces are very large .', 7: 'Green grass reflects green light.', 8: 'Freeways are used for travel.', 9: 'Friendship comes in all shapes and colors.', 10: 'Turtles have (part) breasts.', 11: 'Angiograms are X-ray pictures of arteries which display blood flow problems and blockages.', 12: 'Masqueradings are acting.', 13: 'Some anorexia causes ulcer.'}
| 7 |
6,672 |
['Assuming gases can have negative effects, we know that geese return to marsh.', 'We know that either if most children show signs of the desire to start the learning process by two years, then most irides fall between three and seven or some kinetic energy comes from conversions.', 'Should it be the case that some kinetic energy comes from conversions, it follows that if it is not the case that if geese return to marsh, then conservation effort shows importance, then some dolphins attract prey.', 'When it is not true that if it is not the case that if geese return to marsh, then conservation effort shows importance, then it is not the case that some dolphins attract prey is true, it follows that arthritics require additional time to warm up their joints.', "Whenever it is true that it is a common misconception that if if most children show signs of the desire to start the learning process by two years, then most irides fall between three and seven, then if it is not the case that if geese return to marsh, then conservation effort shows importance, then some dolphins attract prey, 'some bears have reproductive potential' is true.", 'The statement, some bears have reproductive potential, does not hold.', 'Assuming arthritics require additional time to warm up their joints, we know that those that suggest vectors normally used are viruses, bacteria, and yeast cells are wrong.', 'Either one or both of these statements are true: mace comes from the seed covering of a plant, or if arthritics require additional time to warm up their joints, then vectors normally used are viruses, bacteria, and yeast cells.', 'The claim that mace comes from the seed covering of a plant does not reflect reality.']
|
Assuming gases can have negative effects, we know that geese return to marsh. We know that either if most children show signs of the desire to start the learning process by two years, then most irides fall between three and seven or some kinetic energy comes from conversions. Should it be the case that some kinetic energy comes from conversions, it follows that if it is not the case that if geese return to marsh, then conservation effort shows importance, then some dolphins attract prey. When it is not true that if it is not the case that if geese return to marsh, then conservation effort shows importance, then it is not the case that some dolphins attract prey is true, it follows that arthritics require additional time to warm up their joints. Whenever it is true that it is a common misconception that if if most children show signs of the desire to start the learning process by two years, then most irides fall between three and seven, then if it is not the case that if geese return to marsh, then conservation effort shows importance, then some dolphins attract prey, 'some bears have reproductive potential' is true. The statement, some bears have reproductive potential, does not hold. Assuming arthritics require additional time to warm up their joints, we know that those that suggest vectors normally used are viruses, bacteria, and yeast cells are wrong. Either one or both of these statements are true: mace comes from the seed covering of a plant, or if arthritics require additional time to warm up their joints, then vectors normally used are viruses, bacteria, and yeast cells. The claim that mace comes from the seed covering of a plant does not reflect reality.
|
Given that gases can have negative effects, it can be inferred that conservation effort shows importance.
|
Given that gases can have negative effects, it can be inferred that conservation effort shows importance.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3]. [SC1-2]
If (Not (If [2], then [1].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [1]..
[SC1-2]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If (Not (If [2], then [1].).), then [3].). [SC2-3]
If [7], then (If (Not (If [2], then [1].).), then [3].).
Therefore, If (Not (If [2], then [1].).), then [3]..
[SC2-3]
Modus Tonens:
If (Not (If (If [5], then [6].), then (If (Not (If [2], then [1].).), then [3].).).), then [8].
Not [8].
Therefore, If (If [5], then [6].), then (If (Not (If [2], then [1].).), then [3].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [2], then [1].).), then (Not [3].).).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not (If [2], then [1].).), then (Not [3].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [9]. [SC1-4]
If [4], then (Not [9].).
Therefore, Not [4]..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If [4], then [9].).
Not [10].
Therefore, If [4], then [9]..
|
{0: 'Gases can have negative effects.', 1: 'Conservation effort shows importance.', 2: 'Geese return to marsh.', 3: 'Some dolphins attract prey.', 4: 'Arthritics require additional time to warm up their joints.', 5: 'Most children show signs of the desire to start the learning process by two years.', 6: 'Most irides fall between three and seven.', 7: 'Some kinetic energy comes from conversions.', 8: 'Some bears have reproductive potential.', 9: 'Vectors normally used are viruses, bacteria, and yeast cells.', 10: 'Mace comes from the seed covering of a plant.'}
| 7 |
6,971 |
['Either one or both of these statements are true: sailing involves pushing and pulling boats, ducking under hard booms and occasionally falling in, or if aquariums are video games, then agriculture is a way of life in Cambodia.', "Whenever it is true that if aquariums are video games, then agriculture is a way of life in Cambodia, 'if either rabbits also browse yew or marsh isa wetland, then abrasives come in a tube and are suspended in wax' is true.", 'Provided that some female chimpanzees have partners, we know that either rabbits also browse yew or marsh isa wetland.', 'Given that the statement that states if sailing involves pushing and pulling boats, ducking under hard booms and occasionally falling in, then if either rabbits also browse yew or marsh isa wetland, then abrasives come in a tube and are suspended in wax is false, it can be inferred that bone is complex, living tissue.', "The notion that 'bone is complex, living tissue' is untrue.", "Whenever it is true that combined light acts like electrocautery and destroys lesions that can be scraped off easily, 'some female chimpanzees have partners' is true.", "Provided that it is a common misconception that combined light acts like electrocautery and destroys lesions that can be scraped off easily, we know that the notion that 'apples are the final fruit of the agricultural year in Franklin County' is untrue.", 'We know that either geldings are males that have been castrated or if it is a common misconception that combined light acts like electrocautery and destroys lesions that can be scraped off easily, then apples are the final fruit of the agricultural year in Franklin County.', 'The claim that geldings are males that have been castrated is false.']
|
Either one or both of these statements are true: sailing involves pushing and pulling boats, ducking under hard booms and occasionally falling in, or if aquariums are video games, then agriculture is a way of life in Cambodia. Whenever it is true that if aquariums are video games, then agriculture is a way of life in Cambodia, 'if either rabbits also browse yew or marsh isa wetland, then abrasives come in a tube and are suspended in wax' is true. Provided that some female chimpanzees have partners, we know that either rabbits also browse yew or marsh isa wetland. Given that the statement that states if sailing involves pushing and pulling boats, ducking under hard booms and occasionally falling in, then if either rabbits also browse yew or marsh isa wetland, then abrasives come in a tube and are suspended in wax is false, it can be inferred that bone is complex, living tissue. The notion that 'bone is complex, living tissue' is untrue. Whenever it is true that combined light acts like electrocautery and destroys lesions that can be scraped off easily, 'some female chimpanzees have partners' is true. Provided that it is a common misconception that combined light acts like electrocautery and destroys lesions that can be scraped off easily, we know that the notion that 'apples are the final fruit of the agricultural year in Franklin County' is untrue. We know that either geldings are males that have been castrated or if it is a common misconception that combined light acts like electrocautery and destroys lesions that can be scraped off easily, then apples are the final fruit of the agricultural year in Franklin County. The claim that geldings are males that have been castrated is false.
|
Many people rightly believe that abrasives come in a tube and are suspended in wax.
|
Abrasives come in powder form and are a mixture of baking soda or pumice.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (If (Either [1] or [2].), then [0].). [SC2-2]
If (If [5], then [6].), then (If (Either [1] or [2].), then [0].).
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Modus Tonens:
If (Not (If [4], then (If (Either [1] or [2].), then [0].).).), then [8].
Not [8].
Therefore, If [4], then (If (Either [1] or [2].), then [0].)..
[SC2-1]
Modus Ponens:
If [3], then (Either [1] or [2].).
[3] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Modus Ponens:
If [7], then [3].
[7] [SC2-3]
Therefore, [3].
[SC2-3]
Reductio Ad Absurdum:
If (Not [7].), then [9]. [SC1-4]
If (Not [7].), then (Not [9].).
Therefore, [7].
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If (Not [7].), then [9].).
Not [10].
Therefore, If (Not [7].), then [9]..
|
{0: 'Abrasives come in a tube and are suspended in wax.', 1: 'Rabbits also browse yew.', 2: 'Marsh isa wetland.', 3: 'Some female chimpanzees have partners.', 4: 'Sailing involves pushing and pulling boats, ducking under hard booms and occasionally falling in.', 5: 'Aquariums are video games.', 6: 'Agriculture is a way of life in Cambodia.', 7: 'Combined light acts like electrocautery and destroys lesions that can be scraped off easily.', 8: 'Bone is complex, living tissue.', 9: 'Apples are the final fruit of the agricultural year in Franklin County.', 10: 'Geldings are males that have been castrated.'}
| 7 |
6,027 |
['Assuming pesticides are used to kill pests, but many are bad for human health, we know that nachos now contain gluten.', 'Should it be the case that it is a common misconception that pesticides are used to kill pests, but many are bad for human health, it follows that either some people play at cloud melting or classification is the method used by scientists to order living organisms.', 'On the condition that furniture is located in rooms, it is definitely the case that large infestations can produce a sticky, sugary waste product known as honeydew.', "One may reasonably assume that if either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause, then the statement 'large infestations can produce a sticky, sugary waste product known as honeydew' can be considered false.", "Assuming mental calculation uses only the human brain, we know that the statement 'large infestations can produce a sticky, sugary waste product known as honeydew' can be considered false.", 'Given that cricket is the most popular sport in Bangladesh, it can be inferred that if either some people play at cloud melting or classification is the method used by scientists to order living organisms, then furniture is located in rooms.', 'Many people rightly believe that cricket is the most popular sport in Bangladesh.', "Provided that the statement 'either either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause or mental calculation uses only the human brain' can be considered false, we know that either earwigs have (part) faces or some beaches have dangerous sea creatures like crabs, stingrays, jellyfish, sharks and others.", "One may reasonably assume that if the statement 'either either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause or mental calculation uses only the human brain' can be considered false, then some people mistakenly believe that either earwigs have (part) faces or some beaches have dangerous sea creatures like crabs, stingrays, jellyfish, sharks and others."]
|
Assuming pesticides are used to kill pests, but many are bad for human health, we know that nachos now contain gluten. Should it be the case that it is a common misconception that pesticides are used to kill pests, but many are bad for human health, it follows that either some people play at cloud melting or classification is the method used by scientists to order living organisms. On the condition that furniture is located in rooms, it is definitely the case that large infestations can produce a sticky, sugary waste product known as honeydew. One may reasonably assume that if either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause, then the statement 'large infestations can produce a sticky, sugary waste product known as honeydew' can be considered false. Assuming mental calculation uses only the human brain, we know that the statement 'large infestations can produce a sticky, sugary waste product known as honeydew' can be considered false. Given that cricket is the most popular sport in Bangladesh, it can be inferred that if either some people play at cloud melting or classification is the method used by scientists to order living organisms, then furniture is located in rooms. Many people rightly believe that cricket is the most popular sport in Bangladesh. Provided that the statement 'either either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause or mental calculation uses only the human brain' can be considered false, we know that either earwigs have (part) faces or some beaches have dangerous sea creatures like crabs, stingrays, jellyfish, sharks and others. One may reasonably assume that if the statement 'either either smoke lingers in drapes and carpet and can cause breathing problems or a relative clause is a clause or mental calculation uses only the human brain' can be considered false, then some people mistakenly believe that either earwigs have (part) faces or some beaches have dangerous sea creatures like crabs, stingrays, jellyfish, sharks and others.
|
It is true that nachos now contain gluten.
|
The notion that 'nachos now contain gluten' is untrue.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then (Either [2] or [3].).
Not (Either [2] or [3].). [SC2-2]
Therefore, [1].
[SC2-2]
Modus Tonens:
If (Either [2] or [3].), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC1-3]
Hypothetical Syllogism:
If (Either [2] or [3].), then [5]. [SC1-4]
If [5], then [4].
Therefore, If (Either [2] or [3].), then [4]..
[SC1-4]
Modus Ponens:
If [9], then (If (Either [2] or [3].), then [5].).
[9]
Therefore, If (Either [2] or [3].), then [5]..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or [8]. [SC1-4]
If (Either [6] or [7].), then (Not [4].).
If [8], then (Not [4].).
Therefore, Not [4]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either (Either [6] or [7].) or [8].).), then (Either [10] or [11].).
If (Not (Either (Either [6] or [7].) or [8].).), then (Not (Either [10] or [11].).).
Therefore, Either (Either [6] or [7].) or [8]..
|
{0: 'Nachos now contain gluten.', 1: 'Pesticides are used to kill pests, but many are bad for human health.', 2: 'Some people play at cloud melting.', 3: 'Classification is the method used by scientists to order living organisms.', 4: 'Large infestations can produce a sticky, sugary waste product known as honeydew.', 5: 'Furniture is located in rooms.', 6: 'Smoke lingers in drapes and carpet and can cause breathing problems.', 7: 'A relative clause is a clause.', 8: 'Mental calculation uses only the human brain.', 9: 'Cricket is the most popular sport in Bangladesh.', 10: 'Earwigs have (part) faces.', 11: 'Some beaches have dangerous sea creatures like crabs, stingrays, jellyfish, sharks and others.'}
| 7 |
6,231 |
['It is rational to believe that either deposition leads to accumulation or the claim that most brown hyenas occupy ranges does not reflect reality.', 'Those that suggest nerves become irritated at the intervertebral foramen causing aberrant neural activity are wrong.', 'Once we know it is not true that either nerves become irritated at the intervertebral foramen causing aberrant neural activity or it is not true that deposition leads to accumulation, we also know that most submerge plants have leaves.', "Whenever it is true that most submerge plants have leaves, 'some vets prescribe appetite stimulants' is true.", "There is good reason to believe that either some animals are omnivores, which eat both plants and other animals or if some vets prescribe appetite stimulants, then some sources say that a dog's nose is a million times more sensitive than that of a human.", "The notion that 'some animals are omnivores, which eat both plants and other animals' is untrue.", 'Either one or both of these statements are true: rings are used for symbolisms, or organic fertilizers perform best, since the trees are subject to fertilizer burn.', "Assuming rings are used for symbolisms, we know that the statement 'some sources say that a dog's nose is a million times more sensitive than that of a human' can be considered false.", "Should it be the case that organic fertilizers perform best, since the trees are subject to fertilizer burn, it follows that the statement 'some sources say that a dog's nose is a million times more sensitive than that of a human' can be considered false."]
|
It is rational to believe that either deposition leads to accumulation or the claim that most brown hyenas occupy ranges does not reflect reality. Those that suggest nerves become irritated at the intervertebral foramen causing aberrant neural activity are wrong. Once we know it is not true that either nerves become irritated at the intervertebral foramen causing aberrant neural activity or it is not true that deposition leads to accumulation, we also know that most submerge plants have leaves. Whenever it is true that most submerge plants have leaves, 'some vets prescribe appetite stimulants' is true. There is good reason to believe that either some animals are omnivores, which eat both plants and other animals or if some vets prescribe appetite stimulants, then some sources say that a dog's nose is a million times more sensitive than that of a human. The notion that 'some animals are omnivores, which eat both plants and other animals' is untrue. Either one or both of these statements are true: rings are used for symbolisms, or organic fertilizers perform best, since the trees are subject to fertilizer burn. Assuming rings are used for symbolisms, we know that the statement 'some sources say that a dog's nose is a million times more sensitive than that of a human' can be considered false. Should it be the case that organic fertilizers perform best, since the trees are subject to fertilizer burn, it follows that the statement 'some sources say that a dog's nose is a million times more sensitive than that of a human' can be considered false.
|
The claim that most brown hyenas occupy ranges does not reflect reality.
|
The statement 'most brown hyenas occupy ranges' is true.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (Not [1].).).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, Either [2] or (Not [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [2] or (Not [1].).).), then [5].
If [5], then [3].
Therefore, If (Not (Either [2] or (Not [1].).).), then [3]..
[SC2-3]
Modus Tonens:
If [3], then [4]. [SC1-4]
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (If [3], then [4].).
Not [6].
Therefore, If [3], then [4]..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [4].).
If [8], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Most brown hyenas occupy ranges.', 1: 'Deposition leads to accumulation.', 2: 'Nerves become irritated at the intervertebral foramen causing aberrant neural activity.', 3: 'Some vets prescribe appetite stimulants.', 4: "Some sources say that a dog's nose is a million times more sensitive than that of a human.", 5: 'Most submerge plants have leaves.', 6: 'Some animals are omnivores, which eat both plants and other animals.', 7: 'Rings are used for symbolisms.', 8: 'Organic fertilizers perform best, since the trees are subject to fertilizer burn.'}
| 7 |
6,306 |
["If the notion that 'if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then children can spend money to buy gifts, or they can use their own time and energy to make gifts' is untrue, then most incidents occur when children suddenly inhale a deflated balloon they have been chewing.", "On the condition that the notion that 'if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then children can spend money to buy gifts, or they can use their own time and energy to make gifts' is untrue, it is definitely the case that the statement that 'most incidents occur when children suddenly inhale a deflated balloon they have been chewing' is incorrect.", 'On the condition that jellyfish have babies, it is definitely the case that the claim that children can spend money to buy gifts, or they can use their own time and energy to make gifts has no merit.', "So long as most infants stop spitting up when they spend more time upright, 'either wildlife conservation is conducted in the national and state parks and wilderness areas or negroes firmly believe that police brutality and harassment occur repeatedly in Negro neighborhoods' is true.", 'It is rational to believe that either if water pressure is low in some buildings, then industries provide employment or if the claim that if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then jellyfish have babies does not correspond with reality, then the statement that states either wildlife conservation is conducted in the national and state parks and wilderness areas or negroes firmly believe that police brutality and harassment occur repeatedly in Negro neighborhoods is false.', 'Those that suggest if water pressure is low in some buildings, then industries provide employment are wrong.', 'If snow leopards are well adapted to their harsh mountain environment, then if the claim that if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then jellyfish have babies does not correspond with reality, then most infants stop spitting up when they spend more time upright.', 'It is true that snow leopards are well adapted to their harsh mountain environment.']
|
If the notion that 'if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then children can spend money to buy gifts, or they can use their own time and energy to make gifts' is untrue, then most incidents occur when children suddenly inhale a deflated balloon they have been chewing. On the condition that the notion that 'if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then children can spend money to buy gifts, or they can use their own time and energy to make gifts' is untrue, it is definitely the case that the statement that 'most incidents occur when children suddenly inhale a deflated balloon they have been chewing' is incorrect. On the condition that jellyfish have babies, it is definitely the case that the claim that children can spend money to buy gifts, or they can use their own time and energy to make gifts has no merit. So long as most infants stop spitting up when they spend more time upright, 'either wildlife conservation is conducted in the national and state parks and wilderness areas or negroes firmly believe that police brutality and harassment occur repeatedly in Negro neighborhoods' is true. It is rational to believe that either if water pressure is low in some buildings, then industries provide employment or if the claim that if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then jellyfish have babies does not correspond with reality, then the statement that states either wildlife conservation is conducted in the national and state parks and wilderness areas or negroes firmly believe that police brutality and harassment occur repeatedly in Negro neighborhoods is false. Those that suggest if water pressure is low in some buildings, then industries provide employment are wrong. If snow leopards are well adapted to their harsh mountain environment, then if the claim that if the statement, if brown patch has a slimy appearance when it infects perennial ryegrass, then some absorbed radium is excreted in urine, does not hold, then jellyfish have babies does not correspond with reality, then most infants stop spitting up when they spend more time upright. It is true that snow leopards are well adapted to their harsh mountain environment.
|
Given that brown patch has a slimy appearance when it infects perennial ryegrass, it can be inferred that some absorbed radium is excreted in urine.
|
Given that brown patch has a slimy appearance when it infects perennial ryegrass, it can be inferred that some absorbed radium is excreted in urine.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [4].
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [4].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [3]. [SC1-2]
If [3], then (Not [2].).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [3].).), then (Either [5] or [6].). [SC1-3]
If (Not (If (Not (If [0], then [1].).), then [3].).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, If (Not (If [0], then [1].).), then [3]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (If [0], then [1].).), then [3].).), then [7]. [SC1-4]
If [7], then (Either [5] or [6].).
Therefore, If (Not (If (Not (If [0], then [1].).), then [3].).), then (Either [5] or [6].)..
[SC1-4]
Modus Ponens:
If [10], then (If (Not (If (Not (If [0], then [1].).), then [3].).), then [7].).
[10]
Therefore, If (Not (If (Not (If [0], then [1].).), then [3].).), then [7]..
[SC2-3]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Not (If (Not (If [0], then [1].).), then [3].).), then (Not (Either [5] or [6].).).).
Not (If [8], then [9].).
Therefore, If (Not (If (Not (If [0], then [1].).), then [3].).), then (Not (Either [5] or [6].).)..
|
{0: 'Brown patch has a slimy appearance when it infects perennial ryegrass.', 1: 'Some absorbed radium is excreted in urine.', 2: 'Children can spend money to buy gifts, or they can use their own time and energy to make gifts.', 3: 'Jellyfish have babies.', 4: 'Most incidents occur when children suddenly inhale a deflated balloon they have been chewing.', 5: 'Wildlife conservation is conducted in the national and state parks and wilderness areas.', 6: 'Negroes firmly believe that police brutality and harassment occur repeatedly in Negro neighborhoods.', 7: 'Most infants stop spitting up when they spend more time upright.', 8: 'Water pressure is low in some buildings.', 9: 'Industries provide employment.', 10: 'Snow leopards are well adapted to their harsh mountain environment.'}
| 7 |
6,706 |
['Either one or both of these statements are true: crickets tend to be the most available food, and generally make the basic staple for frogs, or common gallinules can breed within a year of hatching.', 'Assuming crickets tend to be the most available food, and generally make the basic staple for frogs, we know that olfactory receptors are very specific.', 'Provided that common gallinules can breed within a year of hatching, we know that if unique audience is a measure of the total number of individuals that visit a property, then fats are a group of chemical compounds that contain fatty acids.', 'Assuming olfactory receptors are very specific, we know that the claim that either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains is false.', 'On the condition that reduce dietary intake prevents kidney diseases, it is definitely the case that flu is short for influenza, a highly contagious virus that infects the respiratory system.', 'One may reasonably assume that if if soldiers are protectors, representatives of laws and government, then all carbon has many millions of microscopic pores, then if those that suggest if if reduce dietary intake prevents kidney diseases, then flu is short for influenza, a highly contagious virus that infects the respiratory system, then if olfactory receptors are very specific, then either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains are wrong, then if bowlers have (part) arms, then observatories have (part) storeys.', 'On the condition that soldiers are protectors, representatives of laws and government, it is definitely the case that all carbon has many millions of microscopic pores.', "Given that smokers have a two-fold higher risk of heart disease, it can be inferred that if those that suggest if if reduce dietary intake prevents kidney diseases, then flu is short for influenza, a highly contagious virus that infects the respiratory system, then if olfactory receptors are very specific, then either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains are wrong, then the statement 'if bowlers have (part) arms, then observatories have (part) storeys' can be considered false.", 'The statement that states smokers have a two-fold higher risk of heart disease is right.']
|
Either one or both of these statements are true: crickets tend to be the most available food, and generally make the basic staple for frogs, or common gallinules can breed within a year of hatching. Assuming crickets tend to be the most available food, and generally make the basic staple for frogs, we know that olfactory receptors are very specific. Provided that common gallinules can breed within a year of hatching, we know that if unique audience is a measure of the total number of individuals that visit a property, then fats are a group of chemical compounds that contain fatty acids. Assuming olfactory receptors are very specific, we know that the claim that either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains is false. On the condition that reduce dietary intake prevents kidney diseases, it is definitely the case that flu is short for influenza, a highly contagious virus that infects the respiratory system. One may reasonably assume that if if soldiers are protectors, representatives of laws and government, then all carbon has many millions of microscopic pores, then if those that suggest if if reduce dietary intake prevents kidney diseases, then flu is short for influenza, a highly contagious virus that infects the respiratory system, then if olfactory receptors are very specific, then either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains are wrong, then if bowlers have (part) arms, then observatories have (part) storeys. On the condition that soldiers are protectors, representatives of laws and government, it is definitely the case that all carbon has many millions of microscopic pores. Given that smokers have a two-fold higher risk of heart disease, it can be inferred that if those that suggest if if reduce dietary intake prevents kidney diseases, then flu is short for influenza, a highly contagious virus that infects the respiratory system, then if olfactory receptors are very specific, then either some growers trim the lower hands of bunches to increase the size of remaining hands of fruit or plants reproduce by pollen grains are wrong, then the statement 'if bowlers have (part) arms, then observatories have (part) storeys' can be considered false. The statement that states smokers have a two-fold higher risk of heart disease is right.
|
Whenever it is true that unique audience is a measure of the total number of individuals that visit a property, 'fats are a group of chemical compounds that contain fatty acids' is true.
|
The notion that 'if unique audience is a measure of the total number of individuals that visit a property, then fats are a group of chemical compounds that contain fatty acids' is untrue.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either [5] or [6].
If [5], then [2].
If [6], then (If [0], then [1].).
Therefore, Either [2] or (If [0], then [1].)..
[SC2-1]
Reductio Ad Absurdum:
If [2], then (Either [3] or [4].). [SC1-2]
If [2], then (Not (Either [3] or [4].).).
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (If [2], then (Either [3] or [4].).). [SC1-3]
If [7], then [8].
Therefore, If [2], then (Either [3] or [4].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (If [9], then [10].). [SC1-4]
If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (Not (If [9], then [10].).). [SC2-4]
Therefore, If (If [7], then [8].), then (If [2], then (Either [3] or [4].).)..
[SC1-4]
Modus Ponens:
If (If [12], then [13].), then (If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (If [9], then [10].).).
If [12], then [13].
Therefore, If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (If [9], then [10].)..
[SC2-4]
Modus Ponens:
If [11], then (If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (Not (If [9], then [10].).).).
[11]
Therefore, If (Not (If (If [7], then [8].), then (If [2], then (Either [3] or [4].).).).), then (Not (If [9], then [10].).)..
|
{0: 'Unique audience is a measure of the total number of individuals that visit a property.', 1: 'Fats are a group of chemical compounds that contain fatty acids.', 2: 'Olfactory receptors are very specific.', 3: 'Some growers trim the lower hands of bunches to increase the size of remaining hands of fruit.', 4: 'Plants reproduce by pollen grains.', 5: 'Crickets tend to be the most available food, and generally make the basic staple for frogs.', 6: 'Common gallinules can breed within a year of hatching.', 7: 'Reduce dietary intake prevents kidney diseases.', 8: 'Flu is short for influenza, a highly contagious virus that infects the respiratory system.', 9: 'Bowlers have (part) arms.', 10: 'Observatories have (part) storeys.', 11: 'Smokers have a two-fold higher risk of heart disease.', 12: 'Soldiers are protectors, representatives of laws and government.', 13: 'All carbon has many millions of microscopic pores.'}
| 7 |
6,496 |
['We can assume that some clams bury themselves in sand or mud.', 'Should it be the case that the statement, either emergencies present stressful situations where human communication is crucial or dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, does not hold, it follows that tea is a true stimulant, because of the caffeine it contains.', 'Assuming the statement, either emergencies present stressful situations where human communication is crucial or dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, does not hold, we know that the claim that tea is a true stimulant, because of the caffeine it contains does not reflect reality.', "So long as emergencies present stressful situations where human communication is crucial, 'rabbits care about clothes, food, and their surroundings in general' is true.", 'One may reasonably assume that if rabbits care about clothes, food, and their surroundings in general, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps.', "The statement 'dispatchers are workers' can be considered false.", 'One may reasonably assume that if if data maps are useful tools to optimize data flow and, hence, improve communications in a company, then inflammation is a body process that can result in pain, swelling, warmth, redness, and stiffness, then if the claim that if dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps does not correspond with reality, then dispatchers are workers.', 'Provided that many fires result from preventable accidental causes, we know that if the claim that if dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps does not correspond with reality, then dispatchers are workers.', 'If it is not true that either if data maps are useful tools to optimize data flow and, hence, improve communications in a company, then inflammation is a body process that can result in pain, swelling, warmth, redness, and stiffness or many fires result from preventable accidental causes, then loud explosions cause pain.', 'The statement that states loud explosions cause pain is false.']
|
We can assume that some clams bury themselves in sand or mud. Should it be the case that the statement, either emergencies present stressful situations where human communication is crucial or dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, does not hold, it follows that tea is a true stimulant, because of the caffeine it contains. Assuming the statement, either emergencies present stressful situations where human communication is crucial or dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, does not hold, we know that the claim that tea is a true stimulant, because of the caffeine it contains does not reflect reality. So long as emergencies present stressful situations where human communication is crucial, 'rabbits care about clothes, food, and their surroundings in general' is true. One may reasonably assume that if rabbits care about clothes, food, and their surroundings in general, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps. The statement 'dispatchers are workers' can be considered false. One may reasonably assume that if if data maps are useful tools to optimize data flow and, hence, improve communications in a company, then inflammation is a body process that can result in pain, swelling, warmth, redness, and stiffness, then if the claim that if dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps does not correspond with reality, then dispatchers are workers. Provided that many fires result from preventable accidental causes, we know that if the claim that if dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work, then if some clams bury themselves in sand or mud, then either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps does not correspond with reality, then dispatchers are workers. If it is not true that either if data maps are useful tools to optimize data flow and, hence, improve communications in a company, then inflammation is a body process that can result in pain, swelling, warmth, redness, and stiffness or many fires result from preventable accidental causes, then loud explosions cause pain. The statement that states loud explosions cause pain is false.
|
Either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps.
|
The statement, either rosewood tends to coordinate best with maple or mahogany, zebrawood with oak or many mothers express their milk using breast pumps, does not hold.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [2], then (Either [0] or [1].).). [SC2-2]
If [4], then (If [2], then (Either [0] or [1].).). [SC3-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [5].
If (Not (Either [3] or [4].).), then (Not [5].).
Therefore, Either [3] or [4]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If [2], then (Either [0] or [1].).).
Therefore, If [3], then (If [2], then (Either [0] or [1].).)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If [2], then (Either [0] or [1].).).).), then [7]. [SC1-3]
Not [7].
Therefore, If [4], then (If [2], then (Either [0] or [1].).)..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10]. [SC1-4]
If (If [8], then [9].), then (If (Not (If [4], then (If [2], then (Either [0] or [1].).).).), then [7].).
If [10], then (If (Not (If [4], then (If [2], then (Either [0] or [1].).).).), then [7].).
Therefore, If (Not (If [4], then (If [2], then (Either [0] or [1].).).).), then [7]..
[SC1-4]
Modus Tonens:
If (Not (Either (If [8], then [9].) or [10].).), then [11].
Not [11].
Therefore, Either (If [8], then [9].) or [10]..
|
{0: 'Rosewood tends to coordinate best with maple or mahogany, zebrawood with oak.', 1: 'Many mothers express their milk using breast pumps.', 2: 'Some clams bury themselves in sand or mud.', 3: 'Emergencies present stressful situations where human communication is crucial.', 4: 'Dimension stone is used for facing, curbing, flooring, stair treads, and other architectural work.', 5: 'Tea is a true stimulant, because of the caffeine it contains.', 6: 'Rabbits care about clothes, food, and their surroundings in general.', 7: 'Dispatchers are workers.', 8: 'Data maps are useful tools to optimize data flow and, hence, improve communications in a company.', 9: 'Inflammation is a body process that can result in pain, swelling, warmth, redness, and stiffness.', 10: 'Many fires result from preventable accidental causes.', 11: 'Loud explosions cause pain.'}
| 7 |
6,558 |
['We can assume that legislative actions are legal proceeding.', 'There is good reason to believe that either sores can be painful, and leave the body open to infection or if compounds contain carbon atoms, then peppers are a tender, warm-season crop.', 'Those that suggest sores can be painful, and leave the body open to infection are wrong.', 'Should it be the case that body temperature is very important to bats, it follows that if legislative actions are legal proceeding, then either roller balls are smooth flowing ink pens or compounds contain carbon atoms.', 'Those that suggest body temperature is very important to bats are right.', 'Provided that the claim that either pulp fiber contains proteins or if roller balls are smooth flowing ink pens, then peppers are a tender, warm-season crop does not correspond with reality, we know that bedtime isa knowledge.', 'Provided that the claim that either pulp fiber contains proteins or if roller balls are smooth flowing ink pens, then peppers are a tender, warm-season crop does not correspond with reality, we know that the claim that bedtime isa knowledge has no merit.', 'Once we know chicory has a deep taproot, we also know that the claim that pulp fiber contains proteins does not reflect reality.', 'The claim that chicory has a deep taproot is true.']
|
We can assume that legislative actions are legal proceeding. There is good reason to believe that either sores can be painful, and leave the body open to infection or if compounds contain carbon atoms, then peppers are a tender, warm-season crop. Those that suggest sores can be painful, and leave the body open to infection are wrong. Should it be the case that body temperature is very important to bats, it follows that if legislative actions are legal proceeding, then either roller balls are smooth flowing ink pens or compounds contain carbon atoms. Those that suggest body temperature is very important to bats are right. Provided that the claim that either pulp fiber contains proteins or if roller balls are smooth flowing ink pens, then peppers are a tender, warm-season crop does not correspond with reality, we know that bedtime isa knowledge. Provided that the claim that either pulp fiber contains proteins or if roller balls are smooth flowing ink pens, then peppers are a tender, warm-season crop does not correspond with reality, we know that the claim that bedtime isa knowledge has no merit. Once we know chicory has a deep taproot, we also know that the claim that pulp fiber contains proteins does not reflect reality. The claim that chicory has a deep taproot is true.
|
It is fair to say that peppers are a tender, warm-season crop.
|
The claim that peppers are a tender, warm-season crop is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [5], then (Either [1] or [2].). [SC1-2]
[5]
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If [7], then (If [5], then (Either [1] or [2].).).
[7]
Therefore, If [5], then (Either [1] or [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If [1], then [0].).).), then [6].
If (Not (Either [3] or (If [1], then [0].).).), then (Not [6].).
Therefore, Either [3] or (If [1], then [0].)..
[SC2-2]
Modus Ponens:
If [8], then (Not [3].).
[8]
Therefore, Not [3]..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [2], then [0].).
Not [4].
Therefore, If [2], then [0]..
|
{0: 'Peppers are a tender, warm-season crop.', 1: 'Roller balls are smooth flowing ink pens.', 2: 'Compounds contain carbon atoms.', 3: 'Pulp fiber contains proteins.', 4: 'Sores can be painful, and leave the body open to infection.', 5: 'Legislative actions are legal proceeding.', 6: 'Bedtime isa knowledge.', 7: 'Body temperature is very important to bats.', 8: 'Chicory has a deep taproot.'}
| 7 |
6,784 |
['It is a fact that either all matter has mass or either feel is companies or homelessness is a problem that affects many people in America.', 'It is not true that all matter has mass.', 'It is true that vertebrates are named for their backbone, which consists of a series of vertebrae.', 'Provided that cosmopolitan species have a world wide distribution, we know that if some theater curtains are part of theatres, then women are far more likely than men to work part time.', "When cosmopolitan species have a world wide distribution is true, it follows that the statement that 'if some theater curtains are part of theatres, then women are far more likely than men to work part time' is incorrect.", 'Given that if philosophy is concerned with arguments, then sanity is defined as soundness of mind, it can be inferred that either cosmopolitan species have a world wide distribution or the statement, feel is companies, does not hold.', 'Once we know the claim that if vertebrates are named for their backbone, which consists of a series of vertebrae, then if philosophy is concerned with arguments, then sanity is defined as soundness of mind has no merit, we also know that birds differ because they also have a map sense.', "Assuming the claim that if vertebrates are named for their backbone, which consists of a series of vertebrae, then if philosophy is concerned with arguments, then sanity is defined as soundness of mind has no merit, we know that the notion that 'birds differ because they also have a map sense' is untrue."]
|
It is a fact that either all matter has mass or either feel is companies or homelessness is a problem that affects many people in America. It is not true that all matter has mass. It is true that vertebrates are named for their backbone, which consists of a series of vertebrae. Provided that cosmopolitan species have a world wide distribution, we know that if some theater curtains are part of theatres, then women are far more likely than men to work part time. When cosmopolitan species have a world wide distribution is true, it follows that the statement that 'if some theater curtains are part of theatres, then women are far more likely than men to work part time' is incorrect. Given that if philosophy is concerned with arguments, then sanity is defined as soundness of mind, it can be inferred that either cosmopolitan species have a world wide distribution or the statement, feel is companies, does not hold. Once we know the claim that if vertebrates are named for their backbone, which consists of a series of vertebrae, then if philosophy is concerned with arguments, then sanity is defined as soundness of mind has no merit, we also know that birds differ because they also have a map sense. Assuming the claim that if vertebrates are named for their backbone, which consists of a series of vertebrae, then if philosophy is concerned with arguments, then sanity is defined as soundness of mind has no merit, we know that the notion that 'birds differ because they also have a map sense' is untrue.
|
The statement that states homelessness is a problem that affects many people in America is right.
|
The statement that states homelessness is a problem that affects many people in America is right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].).
Not [2].
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [6], then (Either [3] or (Not [1].).). [SC1-3]
[6]
Therefore, Either [3] or (Not [1].)..
[SC1-3]
Hypothetical Syllogism:
If [6], then (If [7], then [8].). [SC1-4]
If (If [7], then [8].), then (Either [3] or (Not [1].).).
Therefore, If [6], then (Either [3] or (Not [1].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [6], then (If [7], then [8].).).), then [9].
If (Not (If [6], then (If [7], then [8].).).), then (Not [9].).
Therefore, If [6], then (If [7], then [8].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then (If [4], then [5].).
If [3], then (Not (If [4], then [5].).).
Therefore, Not [3]..
|
{0: 'Homelessness is a problem that affects many people in America.', 1: 'Feel is companies.', 2: 'All matter has mass.', 3: 'Cosmopolitan species have a world wide distribution.', 4: 'Some theater curtains are part of theatres.', 5: 'Women are far more likely than men to work part time.', 6: 'Vertebrates are named for their backbone, which consists of a series of vertebrae.', 7: 'Philosophy is concerned with arguments.', 8: 'Sanity is defined as soundness of mind.', 9: 'Birds differ because they also have a map sense.'}
| 7 |
6,239 |
['Either molars are of the crushing type or the claim that address tag is a bit in word, which indicates the capability for memory access is false.', 'The claim that pneumococcal pneumonia is one of the most common types of pneumonia does not correspond with reality.', 'At least one of two things is true: pyramids can represent an image in several different ways, or many people assume that obese people are gluttonous, lazy, or both.', 'Given that many people assume that obese people are gluttonous, lazy, or both, it can be inferred that if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia.', 'We know that at least one of two things is true: if ghost nets are one of the worst problems facing our oceans, then electricians have (part) cytoplasm, or humans release carbon that has been sequestered deep in the earth by burning fossil fuels.', 'On the condition that if ghost nets are one of the worst problems facing our oceans, then electricians have (part) cytoplasm, it is definitely the case that either kitchens are located in homes or happiness causes love.', 'On the condition that humans release carbon that has been sequestered deep in the earth by burning fossil fuels, it is definitely the case that either kitchens are located in homes or happiness causes love.', 'When tongues is just one variety of prophetic speech is true, it follows that if kitchens are located in homes, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia.', "The statement 'tongues is just one variety of prophetic speech' can be considered true.", 'Should it be the case that the claim that if happiness causes love, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia is false, it follows that either love is present equally in all human beings as the one effulgent divine quality or prenatal exposure is capable of influencing later events in differentiation and survival of neurons.', "So long as the claim that if happiness causes love, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia is false, 'it is a common misconception that either love is present equally in all human beings as the one effulgent divine quality or prenatal exposure is capable of influencing later events in differentiation and survival of neurons' is true."]
|
Either molars are of the crushing type or the claim that address tag is a bit in word, which indicates the capability for memory access is false. The claim that pneumococcal pneumonia is one of the most common types of pneumonia does not correspond with reality. At least one of two things is true: pyramids can represent an image in several different ways, or many people assume that obese people are gluttonous, lazy, or both. Given that many people assume that obese people are gluttonous, lazy, or both, it can be inferred that if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia. We know that at least one of two things is true: if ghost nets are one of the worst problems facing our oceans, then electricians have (part) cytoplasm, or humans release carbon that has been sequestered deep in the earth by burning fossil fuels. On the condition that if ghost nets are one of the worst problems facing our oceans, then electricians have (part) cytoplasm, it is definitely the case that either kitchens are located in homes or happiness causes love. On the condition that humans release carbon that has been sequestered deep in the earth by burning fossil fuels, it is definitely the case that either kitchens are located in homes or happiness causes love. When tongues is just one variety of prophetic speech is true, it follows that if kitchens are located in homes, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia. The statement 'tongues is just one variety of prophetic speech' can be considered true. Should it be the case that the claim that if happiness causes love, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia is false, it follows that either love is present equally in all human beings as the one effulgent divine quality or prenatal exposure is capable of influencing later events in differentiation and survival of neurons. So long as the claim that if happiness causes love, then if pyramids can represent an image in several different ways, then if molars are of the crushing type, then pneumococcal pneumonia is one of the most common types of pneumonia is false, 'it is a common misconception that either love is present equally in all human beings as the one effulgent divine quality or prenatal exposure is capable of influencing later events in differentiation and survival of neurons' is true.
|
The claim that address tag is a bit in word, which indicates the capability for memory access is false.
|
It is not the case that hair loss is referred to as alopecia.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [2].). [SC2-3]
If [4], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (If [3], then (If [1], then [2].).). [SC2-4]
If [6], then (If [3], then (If [1], then [2].).). [SC3-4]
Therefore, If [3], then (If [1], then [2].)..
[SC1-4]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (Either [5] or [6].).
If [11], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-4]
Modus Ponens:
If [12], then (If [5], then (If [3], then (If [1], then [2].).).).
[12]
Therefore, If [5], then (If [3], then (If [1], then [2].).)..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [6], then (If [3], then (If [1], then [2].).).).), then (Either [7] or [8].).
If (Not (If [6], then (If [3], then (If [1], then [2].).).).), then (Not (Either [7] or [8].).).
Therefore, If [6], then (If [3], then (If [1], then [2].).)..
|
{0: 'Address tag is a bit in word, which indicates the capability for memory access.', 1: 'Molars are of the crushing type.', 2: 'Pneumococcal pneumonia is one of the most common types of pneumonia.', 3: 'Pyramids can represent an image in several different ways.', 4: 'Many people assume that obese people are gluttonous, lazy, or both.', 5: 'Kitchens are located in homes.', 6: 'Happiness causes love.', 7: 'Love is present equally in all human beings as the one effulgent divine quality.', 8: 'Prenatal exposure is capable of influencing later events in differentiation and survival of neurons.', 9: 'Ghost nets are one of the worst problems facing our oceans.', 10: 'Electricians have (part) cytoplasm.', 11: 'Humans release carbon that has been sequestered deep in the earth by burning fossil fuels.', 12: 'Tongues is just one variety of prophetic speech.'}
| 7 |
6,578 |
['If the claim that ozone plays a significant role in the troposphere by oxidizing many organic compounds has no merit, then coconut meat mixes with vegetables.', "Either if silk is the fabric of choice by artists over the centuries, then harbor Beach is the world's largest man-made fresh water harbor or horn sharks are harmless unless harassed, and are readily maintained in captivity.", "Provided that if silk is the fabric of choice by artists over the centuries, then harbor Beach is the world's largest man-made fresh water harbor, we know that we know that the claim that some authorities think juvenile female elephant seals found new breeding colonies is false.", "Whenever it is true that horn sharks are harmless unless harassed, and are readily maintained in captivity, 'we know that the claim that some authorities think juvenile female elephant seals found new breeding colonies is false' is true.", "Provided that the claim that either shadowed images are for use on light or white backgrounds or dust is readily visible as dark streaks is false, we know that friendship is man's romanticism.", "Some people mistakenly believe that friendship is man's romanticism.", 'At least one of two things is true: music is the greatest of the fine arts, or ambulances have (part) petrol gauges.', 'Given that music is the greatest of the fine arts, it can be inferred that if shadowed images are for use on light or white backgrounds, then if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies.', 'Given that ambulances have (part) petrol gauges, it can be inferred that if shadowed images are for use on light or white backgrounds, then if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies.', "Assuming dust is readily visible as dark streaks , we know that some lizards stand on their hind legs and sprint from harm's way.", "Should it be the case that some lizards stand on their hind legs and sprint from harm's way, it follows that if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies."]
|
If the claim that ozone plays a significant role in the troposphere by oxidizing many organic compounds has no merit, then coconut meat mixes with vegetables. Either if silk is the fabric of choice by artists over the centuries, then harbor Beach is the world's largest man-made fresh water harbor or horn sharks are harmless unless harassed, and are readily maintained in captivity. Provided that if silk is the fabric of choice by artists over the centuries, then harbor Beach is the world's largest man-made fresh water harbor, we know that we know that the claim that some authorities think juvenile female elephant seals found new breeding colonies is false. Whenever it is true that horn sharks are harmless unless harassed, and are readily maintained in captivity, 'we know that the claim that some authorities think juvenile female elephant seals found new breeding colonies is false' is true. Provided that the claim that either shadowed images are for use on light or white backgrounds or dust is readily visible as dark streaks is false, we know that friendship is man's romanticism. Some people mistakenly believe that friendship is man's romanticism. At least one of two things is true: music is the greatest of the fine arts, or ambulances have (part) petrol gauges. Given that music is the greatest of the fine arts, it can be inferred that if shadowed images are for use on light or white backgrounds, then if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies. Given that ambulances have (part) petrol gauges, it can be inferred that if shadowed images are for use on light or white backgrounds, then if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies. Assuming dust is readily visible as dark streaks , we know that some lizards stand on their hind legs and sprint from harm's way. Should it be the case that some lizards stand on their hind legs and sprint from harm's way, it follows that if coconut meat mixes with vegetables, then some authorities think juvenile female elephant seals found new breeding colonies.
|
We can assume that ozone plays a significant role in the troposphere by oxidizing many organic compounds.
|
We can assume that ozone plays a significant role in the troposphere by oxidizing many organic compounds.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [5].
If [5], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If [5], then [1].). [SC2-3]
If [7], then (If [5], then [1].). [SC3-3]
Therefore, If [5], then [1]..
[SC1-3]
Modus Tonens:
If (Not (Either [6] or [7].).), then [8].
Not [8].
Therefore, Either [6] or [7]..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [6], then (If [5], then [1].).).
If [11], then (If [6], then (If [5], then [1].).).
Therefore, If [6], then (If [5], then [1].)..
[SC3-3]
Hypothetical Syllogism:
If [7], then [9].
If [9], then (If [5], then [1].).
Therefore, If [7], then (If [5], then [1].)..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Not [1].).
If [4], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Ozone plays a significant role in the troposphere by oxidizing many organic compounds.', 1: 'Some authorities think juvenile female elephant seals found new breeding colonies.', 2: 'Silk is the fabric of choice by artists over the centuries.', 3: "Harbor Beach is the world's largest man-made fresh water harbor.", 4: 'Horn sharks are harmless unless harassed, and are readily maintained in captivity.', 5: 'Coconut meat mixes with vegetables.', 6: 'Shadowed images are for use on light or white backgrounds.', 7: 'Dust is readily visible as dark streaks .', 8: "Friendship is man's romanticism.", 9: "Some lizards stand on their hind legs and sprint from harm's way.", 10: 'Music is the greatest of the fine arts.', 11: 'Ambulances have (part) petrol gauges.'}
| 7 |
6,055 |
['At least one of two things is true: night blindness makes vision difficult in dark or dimly lit places, or grow trees reach size.', "When the statement 'either if some spiders build their webs on the ground, then love is a divine attribute or those that suggest night blindness makes vision difficult in dark or dimly lit places are wrong' can be considered false is true, it follows that bottom ash is used as a gravel replacement, road de-icer and as a bed base for building roads.", "On the condition that the statement 'either if some spiders build their webs on the ground, then love is a divine attribute or those that suggest night blindness makes vision difficult in dark or dimly lit places are wrong' can be considered false, it is definitely the case that the claim that bottom ash is used as a gravel replacement, road de-icer and as a bed base for building roads does not correspond with reality.", 'It is not true that innate behavior results from impulse pathways built into the nervous system.', "If the statement that 'if if some spiders build their webs on the ground, then love is a divine attribute, then innate behavior results from impulse pathways built into the nervous system' is incorrect, then african violets are easily the most popular flowering houseplants in America.", 'We know that either friction produces drag on the wheels to slow or stop the vehicle or allergies can also lead to irritant vaginitis.', 'When friction produces drag on the wheels to slow or stop the vehicle is true, it follows that it is not the case that african violets are easily the most popular flowering houseplants in America.', 'There is good reason to believe that either some garden centers sell plants or some natural disasters are caused by earthquakes.', 'Given that some garden centers sell plants, it can be inferred that if allergies can also lead to irritant vaginitis, then it is not the case that african violets are easily the most popular flowering houseplants in America.', 'When some natural disasters are caused by earthquakes is true, it follows that if allergies can also lead to irritant vaginitis, then it is not the case that african violets are easily the most popular flowering houseplants in America.']
|
At least one of two things is true: night blindness makes vision difficult in dark or dimly lit places, or grow trees reach size. When the statement 'either if some spiders build their webs on the ground, then love is a divine attribute or those that suggest night blindness makes vision difficult in dark or dimly lit places are wrong' can be considered false is true, it follows that bottom ash is used as a gravel replacement, road de-icer and as a bed base for building roads. On the condition that the statement 'either if some spiders build their webs on the ground, then love is a divine attribute or those that suggest night blindness makes vision difficult in dark or dimly lit places are wrong' can be considered false, it is definitely the case that the claim that bottom ash is used as a gravel replacement, road de-icer and as a bed base for building roads does not correspond with reality. It is not true that innate behavior results from impulse pathways built into the nervous system. If the statement that 'if if some spiders build their webs on the ground, then love is a divine attribute, then innate behavior results from impulse pathways built into the nervous system' is incorrect, then african violets are easily the most popular flowering houseplants in America. We know that either friction produces drag on the wheels to slow or stop the vehicle or allergies can also lead to irritant vaginitis. When friction produces drag on the wheels to slow or stop the vehicle is true, it follows that it is not the case that african violets are easily the most popular flowering houseplants in America. There is good reason to believe that either some garden centers sell plants or some natural disasters are caused by earthquakes. Given that some garden centers sell plants, it can be inferred that if allergies can also lead to irritant vaginitis, then it is not the case that african violets are easily the most popular flowering houseplants in America. When some natural disasters are caused by earthquakes is true, it follows that if allergies can also lead to irritant vaginitis, then it is not the case that african violets are easily the most popular flowering houseplants in America.
|
The statement that states grow trees reach size is right.
|
Grow trees have resources.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (Not [1].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (If [2], then [3].) or (Not [1].).).), then [4].
If (Not (Either (If [2], then [3].) or (Not [1].).).), then (Not [4].).
Therefore, Either (If [2], then [3].) or (Not [1].)..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then [5]. [SC1-3]
Not [5].
Therefore, Not (If [2], then [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (If [2], then [3].), then [5].).), then [6].
Not [6]. [SC2-4]
Therefore, If (If [2], then [3].), then [5]..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].). [SC3-5]
Therefore, Not [6]..
[SC3-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [8], then (Not [6].).).
If [10], then (If [8], then (Not [6].).).
Therefore, If [8], then (Not [6].)..
|
{0: 'Grow trees reach size.', 1: 'Night blindness makes vision difficult in dark or dimly lit places.', 2: 'Some spiders build their webs on the ground.', 3: 'Love is a divine attribute.', 4: 'Bottom ash is used as a gravel replacement, road de-icer and as a bed base for building roads.', 5: 'Innate behavior results from impulse pathways built into the nervous system.', 6: 'African violets are easily the most popular flowering houseplants in America.', 7: 'Friction produces drag on the wheels to slow or stop the vehicle.', 8: 'Allergies can also lead to irritant vaginitis.', 9: 'Some garden centers sell plants.', 10: 'Some natural disasters are caused by earthquakes.'}
| 7 |
6,906 |
['There is good reason to believe that either women often develop symptoms after delivering a baby or passwords are a major source of vulnerability for networked computers.', 'If women often develop symptoms after delivering a baby, then if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then lack of sleep is also a problem for teen- agers.', 'Should it be the case that it is a common misconception that if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then the claim that lack of sleep is also a problem for teen- agers has no merit, it follows that if weight is important for control and momentum, then thermal energy flows from temperature.', 'Those that suggest if weight is important for control and momentum, then thermal energy flows from temperature are wrong.', 'We know that at least one of two things is true: some vacuum tubes are part of stereos, or memory is a kind of prayer.', 'One may reasonably assume that if special education is a huge factor in the mammoth growth of the cost of public education, then if either some vacuum tubes are part of stereos or memory is a kind of prayer, then lipids provide energy and give structural support.', 'It is true that special education is a huge factor in the mammoth growth of the cost of public education.', "So long as the claim that if lipids provide energy and give structural support, then if passwords are a major source of vulnerability for networked computers, then if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then lack of sleep is also a problem for teen- agers has no merit, 'wild rice is grain' is true.", 'The statement that states wild rice is grain is false.']
|
There is good reason to believe that either women often develop symptoms after delivering a baby or passwords are a major source of vulnerability for networked computers. If women often develop symptoms after delivering a baby, then if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then lack of sleep is also a problem for teen- agers. Should it be the case that it is a common misconception that if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then the claim that lack of sleep is also a problem for teen- agers has no merit, it follows that if weight is important for control and momentum, then thermal energy flows from temperature. Those that suggest if weight is important for control and momentum, then thermal energy flows from temperature are wrong. We know that at least one of two things is true: some vacuum tubes are part of stereos, or memory is a kind of prayer. One may reasonably assume that if special education is a huge factor in the mammoth growth of the cost of public education, then if either some vacuum tubes are part of stereos or memory is a kind of prayer, then lipids provide energy and give structural support. It is true that special education is a huge factor in the mammoth growth of the cost of public education. So long as the claim that if lipids provide energy and give structural support, then if passwords are a major source of vulnerability for networked computers, then if we know that the claim that if organophosphate toxicity causes a cholinergic syndrome, then pollen contains elements is false, then lack of sleep is also a problem for teen- agers has no merit, 'wild rice is grain' is true. The statement that states wild rice is grain is false.
|
Assuming organophosphate toxicity causes a cholinergic syndrome, we know that pollen contains elements.
|
One may reasonably assume that if organophosphate toxicity can be fatal, then pollen contains elements.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not (If [0], then [1].).), then [2].).
If [4], then (If (Not (If [0], then [1].).), then [2].). [SC3-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC3-2]
Modus Ponens:
If (Either [7] or [8].), then (If [4], then (If (Not (If [0], then [1].).), then [2].).). [SC1-3]
Either [7] or [8].
Therefore, If [4], then (If (Not (If [0], then [1].).), then [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Either [7] or [8].), then [9]. [SC1-4]
If [9], then (If [4], then (If (Not (If [0], then [1].).), then [2].).). [SC2-4]
Therefore, If (Either [7] or [8].), then (If [4], then (If (Not (If [0], then [1].).), then [2].).)..
[SC1-4]
Modus Ponens:
If [10], then (If (Either [7] or [8].), then [9].).
[10]
Therefore, If (Either [7] or [8].), then [9]..
[SC2-4]
Modus Tonens:
If (Not (If [9], then (If [4], then (If (Not (If [0], then [1].).), then [2].).).).), then [11].
Not [11].
Therefore, If [9], then (If [4], then (If (Not (If [0], then [1].).), then [2].).)..
[SC2-1]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (If [5], then [6].).
Not (If [5], then [6].).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
|
{0: 'Organophosphate toxicity causes a cholinergic syndrome.', 1: 'Pollen contains elements.', 2: 'Lack of sleep is also a problem for teen- agers.', 3: 'Women often develop symptoms after delivering a baby.', 4: 'Passwords are a major source of vulnerability for networked computers.', 5: 'Weight is important for control and momentum.', 6: 'Thermal energy flows from temperature.', 7: 'Some vacuum tubes are part of stereos.', 8: 'Memory is a kind of prayer.', 9: 'Lipids provide energy and give structural support.', 10: 'Special education is a huge factor in the mammoth growth of the cost of public education.', 11: 'Wild rice is grain.'}
| 7 |
6,175 |
['One may reasonably assume that if it is a common misconception that if children can suffer from sinusitis, too, then peace is the direct result of charity, for that is the virtue, which produces union of hearts, then either deserts are non-sugared and wholesome or most viruses have receptors.', 'When it is a common misconception that if children can suffer from sinusitis, too, then peace is the direct result of charity, for that is the virtue, which produces union of hearts is true, it follows that the claim that either deserts are non-sugared and wholesome or most viruses have receptors has no merit.', 'Given that the claim that if peace is the direct result of charity, for that is the virtue, which produces union of hearts, then if lynx is a text-based program for accessing the World Wide Web, then wedlock is a pill, bitter to swallow, and hard for digestion has no merit, it can be inferred that teeth develop from two embryonic tissues.', 'We know that the claim that teeth develop from two embryonic tissues is false.', 'Given that decorative painting is a learned skill, much as handwriting or walking, it can be inferred that if the claim that children can suffer from sinusitis, too does not reflect reality, then elephants have (part) bridges.', 'It is true that decorative painting is a learned skill, much as handwriting or walking.', "So long as elephants have (part) bridges, 'some tiger beetles are too big for spiders and robber flies to handle' is true.", 'Those that suggest some tiger beetles are too big for spiders and robber flies to handle are wrong.']
|
One may reasonably assume that if it is a common misconception that if children can suffer from sinusitis, too, then peace is the direct result of charity, for that is the virtue, which produces union of hearts, then either deserts are non-sugared and wholesome or most viruses have receptors. When it is a common misconception that if children can suffer from sinusitis, too, then peace is the direct result of charity, for that is the virtue, which produces union of hearts is true, it follows that the claim that either deserts are non-sugared and wholesome or most viruses have receptors has no merit. Given that the claim that if peace is the direct result of charity, for that is the virtue, which produces union of hearts, then if lynx is a text-based program for accessing the World Wide Web, then wedlock is a pill, bitter to swallow, and hard for digestion has no merit, it can be inferred that teeth develop from two embryonic tissues. We know that the claim that teeth develop from two embryonic tissues is false. Given that decorative painting is a learned skill, much as handwriting or walking, it can be inferred that if the claim that children can suffer from sinusitis, too does not reflect reality, then elephants have (part) bridges. It is true that decorative painting is a learned skill, much as handwriting or walking. So long as elephants have (part) bridges, 'some tiger beetles are too big for spiders and robber flies to handle' is true. Those that suggest some tiger beetles are too big for spiders and robber flies to handle are wrong.
|
Should it be the case that lynx is a text-based program for accessing the World Wide Web, it follows that wedlock is a pill, bitter to swallow, and hard for digestion.
|
Should it be the case that lynx is a text-based program for accessing the World Wide Web, it follows that wedlock is a pill, bitter to swallow, and hard for digestion.
|
TRUE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then (If [0], then [1].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then (Either [8] or [9].).
If (Not (If [2], then [3].).), then (Not (Either [8] or [9].).).
Therefore, If [2], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (If [0], then [1].).).), then [5].
Not [5].
Therefore, If [3], then (If [0], then [1].)..
[SC2-1]
Modus Tonens:
If (Not [2].), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, [2].
[SC1-2]
Modus Ponens:
If [7], then (If (Not [2].), then [4].).
[7]
Therefore, If (Not [2].), then [4]..
[SC2-2]
Modus Tonens:
If [4], then [6].
Not [6].
Therefore, Not [4]..
|
{0: 'Lynx is a text-based program for accessing the World Wide Web.', 1: 'Wedlock is a pill, bitter to swallow, and hard for digestion.', 2: 'Children can suffer from sinusitis, too.', 3: 'Peace is the direct result of charity, for that is the virtue, which produces union of hearts.', 4: 'Elephants have (part) bridges.', 5: 'Teeth develop from two embryonic tissues.', 6: 'Some tiger beetles are too big for spiders and robber flies to handle.', 7: 'Decorative painting is a learned skill, much as handwriting or walking.', 8: 'Deserts are non-sugared and wholesome.', 9: 'Most viruses have receptors.'}
| 7 |
6,014 |
['We know that the claim that cell phones are ubiquitous in the big cities of Asia and Latin America is false.', 'If it is a common misconception that either aoudads have (part) faces or aspheric lenses assure edge to edge clarity, then wild birds consume seeds.', 'The statement, wild birds consume seeds, does not hold.', 'We know that at least one of two things is true: if most white flowers bloom in springs, then automation is the step after the viewing screen, or if aoudads have (part) faces, then if pain lasting longer than several weeks is considered chronic, then cell phones are ubiquitous in the big cities of Asia and Latin America.', 'The statement that states if most white flowers bloom in springs, then automation is the step after the viewing screen is false.', "The statement 'dives are motivated by the goal of fun' is true.", 'It is not true that if most waterfowls eat diets, then rugs are located in beds.', 'We know that at least one of two things is true: most snakes are descended from marine reptiles, or selenium offers anti-bacterial, keratolytic and drying functions.', "Whenever it is true that most snakes are descended from marine reptiles, 'if most waterfowls eat diets, then rugs are located in beds' is true.", 'Once we know selenium offers anti-bacterial, keratolytic and drying functions, we also know that if dives are motivated by the goal of fun, then if aspheric lenses assure edge to edge clarity, then if pain lasting longer than several weeks is considered chronic, then cell phones are ubiquitous in the big cities of Asia and Latin America.']
|
We know that the claim that cell phones are ubiquitous in the big cities of Asia and Latin America is false. If it is a common misconception that either aoudads have (part) faces or aspheric lenses assure edge to edge clarity, then wild birds consume seeds. The statement, wild birds consume seeds, does not hold. We know that at least one of two things is true: if most white flowers bloom in springs, then automation is the step after the viewing screen, or if aoudads have (part) faces, then if pain lasting longer than several weeks is considered chronic, then cell phones are ubiquitous in the big cities of Asia and Latin America. The statement that states if most white flowers bloom in springs, then automation is the step after the viewing screen is false. The statement 'dives are motivated by the goal of fun' is true. It is not true that if most waterfowls eat diets, then rugs are located in beds. We know that at least one of two things is true: most snakes are descended from marine reptiles, or selenium offers anti-bacterial, keratolytic and drying functions. Whenever it is true that most snakes are descended from marine reptiles, 'if most waterfowls eat diets, then rugs are located in beds' is true. Once we know selenium offers anti-bacterial, keratolytic and drying functions, we also know that if dives are motivated by the goal of fun, then if aspheric lenses assure edge to edge clarity, then if pain lasting longer than several weeks is considered chronic, then cell phones are ubiquitous in the big cities of Asia and Latin America.
|
It is not the case that pain lasting longer than several weeks is considered chronic.
|
The statement, pain starts when mucus or pus builds up behind the eardrum, does not hold.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [0], then [1].). [SC2-2]
If [3], then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [7].
Not [7].
Therefore, Either [2] or [3]..
[SC2-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [2], then (If [0], then [1].).).
Not (If [4], then [5].).
Therefore, If [2], then (If [0], then [1].)..
[SC3-2]
Modus Ponens:
If [6], then (If [3], then (If [0], then [1].).). [SC1-3]
[6]
Therefore, If [3], then (If [0], then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If [6], then (If [3], then (If [0], then [1].).).). [SC1-4]
Not (If [8], then [9].).
Therefore, If [6], then (If [3], then (If [0], then [1].).)..
[SC1-4]
Constructive Dilemma:
Either [10] or [11].
If [10], then (If [8], then [9].).
If [11], then (If [6], then (If [3], then (If [0], then [1].).).).
Therefore, Either (If [8], then [9].) or (If [6], then (If [3], then (If [0], then [1].).).)..
|
{0: 'Pain lasting longer than several weeks is considered chronic.', 1: 'Cell phones are ubiquitous in the big cities of Asia and Latin America.', 2: 'Aoudads have (part) faces.', 3: 'Aspheric lenses assure edge to edge clarity.', 4: 'Most white flowers bloom in springs.', 5: 'Automation is the step after the viewing screen.', 6: 'Dives are motivated by the goal of fun.', 7: 'Wild birds consume seeds.', 8: 'Most waterfowls eat diets.', 9: 'Rugs are located in beds.', 10: 'Most snakes are descended from marine reptiles.', 11: 'Selenium offers anti-bacterial, keratolytic and drying functions.'}
| 7 |
6,077 |
['Should it be the case that many cats are obese due to over-eating and lack of exercise, it follows that if profiles are sketches or wire frame curves that drive solid and surface features, then listeners have (part) vacuoles.', 'Those that suggest many cats are obese due to over-eating and lack of exercise are right.', "Provided that the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, we know that the claim that if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness does not reflect reality.", 'Once we know some people mistakenly believe that either hand cream is emollient or some arthropods make up diets, we also know that iridium is the most corrosion resistant metal.', 'It is not true that iridium is the most corrosion resistant metal.', "If the claim that if hand cream is emollient, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness has no merit, then pregnant women require different amounts of iron, folic acid, sodium, and sugar intake.", "If the claim that if hand cream is emollient, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness has no merit, then the claim that pregnant women require different amounts of iron, folic acid, sodium, and sugar intake is false.", "It is a fact that either either engineer geologists apply principles or white croakers swim in loose schools at or near the bottom of sandy areas or if some arthropods make up diets, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness.", 'The statement that states either engineer geologists apply principles or white croakers swim in loose schools at or near the bottom of sandy areas is false.']
|
Should it be the case that many cats are obese due to over-eating and lack of exercise, it follows that if profiles are sketches or wire frame curves that drive solid and surface features, then listeners have (part) vacuoles. Those that suggest many cats are obese due to over-eating and lack of exercise are right. Provided that the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, we know that the claim that if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness does not reflect reality. Once we know some people mistakenly believe that either hand cream is emollient or some arthropods make up diets, we also know that iridium is the most corrosion resistant metal. It is not true that iridium is the most corrosion resistant metal. If the claim that if hand cream is emollient, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness has no merit, then pregnant women require different amounts of iron, folic acid, sodium, and sugar intake. If the claim that if hand cream is emollient, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness has no merit, then the claim that pregnant women require different amounts of iron, folic acid, sodium, and sugar intake is false. It is a fact that either either engineer geologists apply principles or white croakers swim in loose schools at or near the bottom of sandy areas or if some arthropods make up diets, then if the statement that 'if profiles are sketches or wire frame curves that drive solid and surface features, then the claim that listeners have (part) vacuoles has no merit' is incorrect, then if durability is a crucial element of waste prevention, then soft tannins suggest ageworthiness. The statement that states either engineer geologists apply principles or white croakers swim in loose schools at or near the bottom of sandy areas is false.
|
The statement that states profiles are sketches or wire frame curves that drive solid and surface features is false.
|
The statement that states profiles are sketches or wire frame curves that drive solid and surface features is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [4], then (If [0], then [1].).
[4]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then (If [2], then [3].). [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not (If [2], then [3].).).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).). [SC2-3]
If [6], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).). [SC3-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (If [2], then [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or [6].).), then [8].
Not [8].
Therefore, Either [5] or [6]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).).).), then [7].
If (Not (If [5], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).).).), then (Not [7].).
Therefore, If [5], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).)..
[SC3-3]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If [6], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).).).
Not (Either [9] or [10].).
Therefore, If [6], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).)..
|
{0: 'Profiles are sketches or wire frame curves that drive solid and surface features.', 1: 'Listeners have (part) vacuoles.', 2: 'Durability is a crucial element of waste prevention.', 3: 'Soft tannins suggest ageworthiness.', 4: 'Many cats are obese due to over-eating and lack of exercise.', 5: 'Hand cream is emollient.', 6: 'Some arthropods make up diets.', 7: 'Pregnant women require different amounts of iron, folic acid, sodium, and sugar intake.', 8: 'Iridium is the most corrosion resistant metal.', 9: 'Engineer geologists apply principles.', 10: 'White croakers swim in loose schools at or near the bottom of sandy areas.'}
| 7 |
6,031 |
['It is not true that prices can inhibit uptake of electronic information.', 'It is rational to believe that either water is a rather important substance in many ways or syntax is the study of the structure of sentences.', 'One may reasonably assume that if water is a rather important substance in many ways, then either many lotions contain almond extracts, vitamin E or other minerals or pregnancy increases dietary allowances for nutritional and vitamin needs.', 'Should it be the case that syntax is the study of the structure of sentences, it follows that either many lotions contain almond extracts, vitamin E or other minerals or pregnancy increases dietary allowances for nutritional and vitamin needs.', "Assuming some drugs kill lice, we know that if many lotions contain almond extracts, vitamin E or other minerals, then if the claim that a mastopexy is an operation does not correspond with reality, then either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex.", 'The idea that some drugs kill lice is true.', "When skin has incredible ability is true, it follows that if pregnancy increases dietary allowances for nutritional and vitamin needs, then if the claim that a mastopexy is an operation does not correspond with reality, then either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex.", 'The idea that skin has incredible ability is true.', 'We know that either some rats live in homes or frost cracks are also most common on thin barked trees such as maple, sycamore, crabapple and ash.', "Assuming some rats live in homes, we know that either prices can inhibit uptake of electronic information or if the claim that a mastopexy is an operation does not correspond with reality, then some people mistakenly believe that either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex.", "On the condition that frost cracks are also most common on thin barked trees such as maple, sycamore, crabapple and ash, it is definitely the case that either prices can inhibit uptake of electronic information or if the claim that a mastopexy is an operation does not correspond with reality, then some people mistakenly believe that either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex."]
|
It is not true that prices can inhibit uptake of electronic information. It is rational to believe that either water is a rather important substance in many ways or syntax is the study of the structure of sentences. One may reasonably assume that if water is a rather important substance in many ways, then either many lotions contain almond extracts, vitamin E or other minerals or pregnancy increases dietary allowances for nutritional and vitamin needs. Should it be the case that syntax is the study of the structure of sentences, it follows that either many lotions contain almond extracts, vitamin E or other minerals or pregnancy increases dietary allowances for nutritional and vitamin needs. Assuming some drugs kill lice, we know that if many lotions contain almond extracts, vitamin E or other minerals, then if the claim that a mastopexy is an operation does not correspond with reality, then either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex. The idea that some drugs kill lice is true. When skin has incredible ability is true, it follows that if pregnancy increases dietary allowances for nutritional and vitamin needs, then if the claim that a mastopexy is an operation does not correspond with reality, then either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex. The idea that skin has incredible ability is true. We know that either some rats live in homes or frost cracks are also most common on thin barked trees such as maple, sycamore, crabapple and ash. Assuming some rats live in homes, we know that either prices can inhibit uptake of electronic information or if the claim that a mastopexy is an operation does not correspond with reality, then some people mistakenly believe that either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex. On the condition that frost cracks are also most common on thin barked trees such as maple, sycamore, crabapple and ash, it is definitely the case that either prices can inhibit uptake of electronic information or if the claim that a mastopexy is an operation does not correspond with reality, then some people mistakenly believe that either some large cities have thousands of career firefighters, while many small towns have only a few or opposites do attract even when they're the same sex.
|
Those that suggest a mastopexy is an operation are right.
|
Those that suggest a mastopexy is an operation are right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If (Not [0].), then (Either [1] or [2].).). [SC2-2]
If [5], then (If (Not [0].), then (Either [1] or [2].).). [SC3-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either [4] or [5].).
If [11], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-2]
Modus Ponens:
If [6], then (If [4], then (If (Not [0].), then (Either [1] or [2].).).).
[6]
Therefore, If [4], then (If (Not [0].), then (Either [1] or [2].).)..
[SC3-2]
Modus Ponens:
If [9], then (If [5], then (If (Not [0].), then (Either [1] or [2].).).).
[9]
Therefore, If [5], then (If (Not [0].), then (Either [1] or [2].).)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Not (Either [1] or [2].).).). [SC1-2]
Not [3].
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or (If (Not [0].), then (Not (Either [1] or [2].).).).).
If [8], then (Either [3] or (If (Not [0].), then (Not (Either [1] or [2].).).).).
Therefore, Either [3] or (If (Not [0].), then (Not (Either [1] or [2].).).)..
|
{0: 'A mastopexy is an operation.', 1: 'Some large cities have thousands of career firefighters, while many small towns have only a few.', 2: "Opposites do attract even when they're the same sex.", 3: 'Prices can inhibit uptake of electronic information.', 4: 'Many lotions contain almond extracts, vitamin E or other minerals.', 5: 'Pregnancy increases dietary allowances for nutritional and vitamin needs.', 6: 'Some drugs kill lice.', 7: 'Some rats live in homes.', 8: 'Frost cracks are also most common on thin barked trees such as maple, sycamore, crabapple and ash.', 9: 'Skin has incredible ability.', 10: 'Water is a rather important substance in many ways.', 11: 'Syntax is the study of the structure of sentences.'}
| 7 |
6,481 |
['We know that either either flamingos are often unique as they feed their young crop milk or baseball is a game where teams repeat their own histories or either either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup or some astronomers contribute to astronomical discoveries.', 'It is a common misconception that either flamingos are often unique as they feed their young crop milk or baseball is a game where teams repeat their own histories.', 'We know that at least one of two things is true: most desert cottontails eat herbivorous diets, or most commercial toothpastes contain rough abrasives, detergents, and sweetening agents.', 'Provided that most commercial toothpastes contain rough abrasives, detergents, and sweetening agents, we know that if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time.', 'It is rational to believe that either pangolins have eyesights or if some astronomers contribute to astronomical discoveries, then relative humidity is low the majority of the time.', "So long as it is not true that if most desert cottontails eat herbivorous diets, then if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time, 'general managers are managers' is true.", "Once we know it is not true that if most desert cottontails eat herbivorous diets, then if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time, we also know that the statement that 'general managers are managers' is incorrect.", 'When pangolins have eyesights is true, it follows that if hotels have (part) floors, then tube worms are one type of life that is found near hydrothermal vents.', "So long as warm air has more energy than cold air, 'the claim that if hotels have (part) floors, then tube worms are one type of life that is found near hydrothermal vents is false' is true.", 'It is true that warm air has more energy than cold air.']
|
We know that either either flamingos are often unique as they feed their young crop milk or baseball is a game where teams repeat their own histories or either either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup or some astronomers contribute to astronomical discoveries. It is a common misconception that either flamingos are often unique as they feed their young crop milk or baseball is a game where teams repeat their own histories. We know that at least one of two things is true: most desert cottontails eat herbivorous diets, or most commercial toothpastes contain rough abrasives, detergents, and sweetening agents. Provided that most commercial toothpastes contain rough abrasives, detergents, and sweetening agents, we know that if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time. It is rational to believe that either pangolins have eyesights or if some astronomers contribute to astronomical discoveries, then relative humidity is low the majority of the time. So long as it is not true that if most desert cottontails eat herbivorous diets, then if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time, 'general managers are managers' is true. Once we know it is not true that if most desert cottontails eat herbivorous diets, then if either natural gas is a mixture that is used as a fuel source or sambar is a kind of legume or vegetable stew or soup, then relative humidity is low the majority of the time, we also know that the statement that 'general managers are managers' is incorrect. When pangolins have eyesights is true, it follows that if hotels have (part) floors, then tube worms are one type of life that is found near hydrothermal vents. So long as warm air has more energy than cold air, 'the claim that if hotels have (part) floors, then tube worms are one type of life that is found near hydrothermal vents is false' is true. It is true that warm air has more energy than cold air.
|
The claim that relative humidity is low the majority of the time holds true.
|
The statement 'relative humidity is low the majority of the time' can be considered false.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Either (Either [1] or [2].) or [3].).
Not (Either [5] or [6].).
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Either [1] or [2].), then [0].). [SC2-2]
If [8], then (If (Either [1] or [2].), then [0].).
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Either [1] or [2].), then [0].).).), then [9].
If (Not (If [7], then (If (Either [1] or [2].), then [0].).).), then (Not [9].).
Therefore, If [7], then (If (Either [1] or [2].), then [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].).
Not [4]. [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Modus Tonens:
If [4], then (If [10], then [11].).
Not (If [10], then [11].). [SC2-3]
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If [12], then (Not (If [10], then [11].).).
[12]
Therefore, Not (If [10], then [11].)..
|
{0: 'Relative humidity is low the majority of the time.', 1: 'Natural gas is a mixture that is used as a fuel source.', 2: 'Sambar is a kind of legume or vegetable stew or soup.', 3: 'Some astronomers contribute to astronomical discoveries.', 4: 'Pangolins have eyesights.', 5: 'Flamingos are often unique as they feed their young crop milk.', 6: 'Baseball is a game where teams repeat their own histories.', 7: 'Most desert cottontails eat herbivorous diets.', 8: 'Most commercial toothpastes contain rough abrasives, detergents, and sweetening agents.', 9: 'General managers are managers.', 10: 'Hotels have (part) floors.', 11: 'Tube worms are one type of life that is found near hydrothermal vents.', 12: 'Warm air has more energy than cold air.'}
| 7 |
6,310 |
['One may reasonably assume that if capybaras are herbivores, meaning they are plant-eaters, then either most thunderstorms bring gust wind or it is a common misconception that if heresy is the foundation of all cults, then a comic strip is a cartoon.', 'Those that suggest capybaras are herbivores, meaning they are plant-eaters are right.', 'Either most people come and go with little or no record of their life on Earth or those that suggest most thunderstorms bring gust wind are wrong.', "If either individuals have female organs or fertility usually returns to normal when the drug is stopped, then if freeze food causes reaction, then the statement that 'most people come and go with little or no record of their life on Earth' is incorrect.", 'At least one of two things is true: individuals have female organs, or fertility usually returns to normal when the drug is stopped.', 'There is good reason to believe that either cesarean section are three to four times more likely for pregnant women with diabetes or gazetteers are dictionaries.', 'One may reasonably assume that if cesarean section are three to four times more likely for pregnant women with diabetes, then freeze food causes reaction.', 'Should it be the case that halls are used for air flow, it follows that if gazetteers are dictionaries, then freeze food causes reaction.', 'Those that suggest halls are used for air flow are right.']
|
One may reasonably assume that if capybaras are herbivores, meaning they are plant-eaters, then either most thunderstorms bring gust wind or it is a common misconception that if heresy is the foundation of all cults, then a comic strip is a cartoon. Those that suggest capybaras are herbivores, meaning they are plant-eaters are right. Either most people come and go with little or no record of their life on Earth or those that suggest most thunderstorms bring gust wind are wrong. If either individuals have female organs or fertility usually returns to normal when the drug is stopped, then if freeze food causes reaction, then the statement that 'most people come and go with little or no record of their life on Earth' is incorrect. At least one of two things is true: individuals have female organs, or fertility usually returns to normal when the drug is stopped. There is good reason to believe that either cesarean section are three to four times more likely for pregnant women with diabetes or gazetteers are dictionaries. One may reasonably assume that if cesarean section are three to four times more likely for pregnant women with diabetes, then freeze food causes reaction. Should it be the case that halls are used for air flow, it follows that if gazetteers are dictionaries, then freeze food causes reaction. Those that suggest halls are used for air flow are right.
|
It is a common misconception that if heresy is the foundation of all cults, then a comic strip is a cartoon.
|
It is a common misconception that if heresy is the foundation of all cults, then a comic strip is a cartoon.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).). [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Ponens:
If [3], then (Either [2] or (Not (If [0], then [1].).).).
[3]
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [2].).
Not [4]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Modus Ponens:
If [5], then (Not [4].). [SC1-3]
[5] [SC2-3]
Therefore, Not [4]..
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (If [5], then (Not [4].).).
Either [8] or [9].
Therefore, If [5], then (Not [4].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then [5].
If [7], then [5]. [SC3-4]
Therefore, [5].
[SC3-4]
Modus Ponens:
If [10], then (If [7], then [5].).
[10]
Therefore, If [7], then [5]..
|
{0: 'Heresy is the foundation of all cults.', 1: 'A comic strip is a cartoon.', 2: 'Most thunderstorms bring gust wind.', 3: 'Capybaras are herbivores, meaning they are plant-eaters.', 4: 'Most people come and go with little or no record of their life on Earth.', 5: 'Freeze food causes reaction.', 6: 'Cesarean section are three to four times more likely for pregnant women with diabetes.', 7: 'Gazetteers are dictionaries.', 8: 'Individuals have female organs.', 9: 'Fertility usually returns to normal when the drug is stopped.', 10: 'Halls are used for air flow.'}
| 7 |
6,311 |
['The claim that all nephrons have their renal corpuscles in the cortex does not correspond with reality.', 'We know that at least one of two things is true: if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, or a pottage is soup.', 'Should it be the case that the claim that if a pottage is soup, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out does not correspond with reality, it follows that the claim that fewer pregnancies reduce the mother s risk of maternal depletion and maternal death is false.', 'Either one or both of these statements are true: either natural gas competes directly with other fuels for some markets or females have a practice of abandoning their young, or dehydration is a loss of body fluids, which are made up of water and salts.', 'One may reasonably assume that if either natural gas competes directly with other fuels for some markets or females have a practice of abandoning their young, then if those that suggest if if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out are wrong, then omen is a sign.', 'One may reasonably assume that if dehydration is a loss of body fluids, which are made up of water and salts, then if those that suggest if if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out are wrong, then omen is a sign.', 'On the condition that omen is a sign, it is definitely the case that pigweeds have (part) cells.', 'Provided that omen is a sign, we know that the claim that pigweeds have (part) cells does not reflect reality.', 'At least one of two things is true: tall trees grow to feet, or if the claim that if a pottage is soup, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out does not correspond with reality, then fewer pregnancies reduce the mother s risk of maternal depletion and maternal death.', 'The statement, tall trees grow to feet, does not hold.']
|
The claim that all nephrons have their renal corpuscles in the cortex does not correspond with reality. We know that at least one of two things is true: if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, or a pottage is soup. Should it be the case that the claim that if a pottage is soup, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out does not correspond with reality, it follows that the claim that fewer pregnancies reduce the mother s risk of maternal depletion and maternal death is false. Either one or both of these statements are true: either natural gas competes directly with other fuels for some markets or females have a practice of abandoning their young, or dehydration is a loss of body fluids, which are made up of water and salts. One may reasonably assume that if either natural gas competes directly with other fuels for some markets or females have a practice of abandoning their young, then if those that suggest if if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out are wrong, then omen is a sign. One may reasonably assume that if dehydration is a loss of body fluids, which are made up of water and salts, then if those that suggest if if most plants grow in wrong places, then mechanical fatigue is the most common type of failure of structures in service, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out are wrong, then omen is a sign. On the condition that omen is a sign, it is definitely the case that pigweeds have (part) cells. Provided that omen is a sign, we know that the claim that pigweeds have (part) cells does not reflect reality. At least one of two things is true: tall trees grow to feet, or if the claim that if a pottage is soup, then either all nephrons have their renal corpuscles in the cortex or parachutes are the lifesaving equipment of aircrewmen when they have to bail out does not correspond with reality, then fewer pregnancies reduce the mother s risk of maternal depletion and maternal death. The statement, tall trees grow to feet, does not hold.
|
The claim that parachutes are the lifesaving equipment of aircrewmen when they have to bail out holds true.
|
The claim that parachutes are the lifesaving equipment of aircrewmen when they have to bail out holds true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Either [1] or [0].). [SC2-2]
If [4], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If (If [2], then [3].), then (Either [1] or [0].).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If (If [2], then [3].), then (Either [1] or [0].)..
[SC1-3]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If (Not (If (If [2], then [3].), then (Either [1] or [0].).).), then [6].).
If [11], then (If (Not (If (If [2], then [3].), then (Either [1] or [0].).).), then [6].).
Therefore, If (Not (If (If [2], then [3].), then (Either [1] or [0].).).), then [6]..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Either [1] or [0].).).), then [5]. [SC1-3]
If (Not (If [4], then (Either [1] or [0].).).), then (Not [5].).
Therefore, If [4], then (Either [1] or [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If [4], then (Either [1] or [0].).).), then [5].).
Not [8].
Therefore, If (Not (If [4], then (Either [1] or [0].).).), then [5]..
|
{0: 'Parachutes are the lifesaving equipment of aircrewmen when they have to bail out.', 1: 'All nephrons have their renal corpuscles in the cortex.', 2: 'Most plants grow in wrong places.', 3: 'Mechanical fatigue is the most common type of failure of structures in service.', 4: 'A pottage is soup.', 5: 'Fewer pregnancies reduce the mother s risk of maternal depletion and maternal death.', 6: 'Omen is a sign.', 7: 'Pigweeds have (part) cells.', 8: 'Tall trees grow to feet.', 9: 'Natural gas competes directly with other fuels for some markets.', 10: 'Females have a practice of abandoning their young.', 11: 'Dehydration is a loss of body fluids, which are made up of water and salts.'}
| 7 |
6,883 |
['If the claim that orbital hemangiomas are typically slow-growing lesions has no merit, then most soils have the ability to collect heat during the day and lose it at night.', "The notion that 'water turns into steam' is untrue.", 'It is not the case that if most pistils have stigma, then recombination also increases variability.', 'It is rational to believe that either most narwhals have teeth or tantalum carbide is one of the hardest materials ever made.', "Whenever it is true that tantalum carbide is one of the hardest materials ever made, 'if most soils have the ability to collect heat during the day and lose it at night, then some mosquitoes use plants' is true.", 'It is a fact that either cuscuses are nocturnal and nest in hollow trees and clumps of vegetation at nighttime or a rim is a round shape.', "When cuscuses are nocturnal and nest in hollow trees and clumps of vegetation at nighttime is true, it follows that either if most pistils have stigma, then recombination also increases variability or the notion that 'some mosquitoes use plants' is untrue.", "When a rim is a round shape is true, it follows that either if most pistils have stigma, then recombination also increases variability or the notion that 'some mosquitoes use plants' is untrue.", "So long as breastfed children are half as likely to have any illness during the first year of life, 'if most narwhals have teeth, then water turns into steam' is true.", 'breastfed children are half as likely to have any illness during the first year of life.']
|
If the claim that orbital hemangiomas are typically slow-growing lesions has no merit, then most soils have the ability to collect heat during the day and lose it at night. The notion that 'water turns into steam' is untrue. It is not the case that if most pistils have stigma, then recombination also increases variability. It is rational to believe that either most narwhals have teeth or tantalum carbide is one of the hardest materials ever made. Whenever it is true that tantalum carbide is one of the hardest materials ever made, 'if most soils have the ability to collect heat during the day and lose it at night, then some mosquitoes use plants' is true. It is a fact that either cuscuses are nocturnal and nest in hollow trees and clumps of vegetation at nighttime or a rim is a round shape. When cuscuses are nocturnal and nest in hollow trees and clumps of vegetation at nighttime is true, it follows that either if most pistils have stigma, then recombination also increases variability or the notion that 'some mosquitoes use plants' is untrue. When a rim is a round shape is true, it follows that either if most pistils have stigma, then recombination also increases variability or the notion that 'some mosquitoes use plants' is untrue. So long as breastfed children are half as likely to have any illness during the first year of life, 'if most narwhals have teeth, then water turns into steam' is true. breastfed children are half as likely to have any illness during the first year of life.
|
It is rational to agree that orbital hemangiomas are typically slow-growing lesions.
|
Food is culture and history.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then [2].). [SC1-3]
Not [5].
Therefore, If [1], then [2]..
[SC1-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [5]. [SC2-4]
If [7], then (If [1], then [2].).
Therefore, Either [5] or (If [1], then [2].)..
[SC2-4]
Modus Ponens:
If [10], then (If [6], then [5].).
[10]
Therefore, If [6], then [5]..
[SC2-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [2].). [SC1-3]
Not (If [3], then [4].).
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either (If [3], then [4].) or (Not [2].).).
If [9], then (Either (If [3], then [4].) or (Not [2].).).
Therefore, Either (If [3], then [4].) or (Not [2].)..
|
{0: 'Orbital hemangiomas are typically slow-growing lesions.', 1: 'Most soils have the ability to collect heat during the day and lose it at night.', 2: 'Some mosquitoes use plants.', 3: 'Most pistils have stigma.', 4: 'Recombination also increases variability.', 5: 'Water turns into steam.', 6: 'Most narwhals have teeth.', 7: 'Tantalum carbide is one of the hardest materials ever made.', 8: 'Cuscuses are nocturnal and nest in hollow trees and clumps of vegetation at nighttime.', 9: 'A rim is a round shape.', 10: 'Breastfed children are half as likely to have any illness during the first year of life.'}
| 7 |
6,788 |
['Either one or both of these statements are true: if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, or a need is a condition.', 'The claim that grills are used for grilling food does not reflect reality.', "One may reasonably assume that if the notion that 'either television viewing by preschool children is associated with obesity or plants make people feel better' is untrue, then either cuckoos have flight or some armadillos are bleed to death.", "So long as the notion that 'either television viewing by preschool children is associated with obesity or plants make people feel better' is untrue, 'those that suggest either cuckoos have flight or some armadillos are bleed to death are wrong' is true.", 'When either killing causes sadness or natural stones are usually soft and smooth is true, it follows that if television viewing by preschool children is associated with obesity, then if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food.', "So long as if malformations are usually posterior and unilateral, then vitamins lose their potency in feed stored for more than a few weeks at or above room temperature, 'if television viewing by preschool children is associated with obesity, then if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food' is true.", "Whenever it is true that plants make people feel better, 'if eastern society focuses on preserving a state of good health, then progesterone induces activity of the glandular epithelium' is true.", "Whenever it is true that if eastern society focuses on preserving a state of good health, then progesterone induces activity of the glandular epithelium, 'if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food' is true.", 'At least one of two things is true: some syndromes are caused by mutation, or if pickles are closely related to components , then dialogue marketing is also different from data-base marketing.', "Whenever it is true that some syndromes are caused by mutation, 'either killing causes sadness or natural stones are usually soft and smooth' is true.", "Whenever it is true that if pickles are closely related to components , then dialogue marketing is also different from data-base marketing, 'if malformations are usually posterior and unilateral, then vitamins lose their potency in feed stored for more than a few weeks at or above room temperature' is true."]
|
Either one or both of these statements are true: if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, or a need is a condition. The claim that grills are used for grilling food does not reflect reality. One may reasonably assume that if the notion that 'either television viewing by preschool children is associated with obesity or plants make people feel better' is untrue, then either cuckoos have flight or some armadillos are bleed to death. So long as the notion that 'either television viewing by preschool children is associated with obesity or plants make people feel better' is untrue, 'those that suggest either cuckoos have flight or some armadillos are bleed to death are wrong' is true. When either killing causes sadness or natural stones are usually soft and smooth is true, it follows that if television viewing by preschool children is associated with obesity, then if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food. So long as if malformations are usually posterior and unilateral, then vitamins lose their potency in feed stored for more than a few weeks at or above room temperature, 'if television viewing by preschool children is associated with obesity, then if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food' is true. Whenever it is true that plants make people feel better, 'if eastern society focuses on preserving a state of good health, then progesterone induces activity of the glandular epithelium' is true. Whenever it is true that if eastern society focuses on preserving a state of good health, then progesterone induces activity of the glandular epithelium, 'if if spreaders reduce surface tension of spray droplets, then an ad agency is an agency, then grills are used for grilling food' is true. At least one of two things is true: some syndromes are caused by mutation, or if pickles are closely related to components , then dialogue marketing is also different from data-base marketing. Whenever it is true that some syndromes are caused by mutation, 'either killing causes sadness or natural stones are usually soft and smooth' is true. Whenever it is true that if pickles are closely related to components , then dialogue marketing is also different from data-base marketing, 'if malformations are usually posterior and unilateral, then vitamins lose their potency in feed stored for more than a few weeks at or above room temperature' is true.
|
a need is a condition.
|
Needs are the basic forces that motivate a person to do something.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [3]. [SC1-2]
Not [3].
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (If [1], then [2].), then [3].). [SC2-3]
If [5], then (If (If [1], then [2].), then [3].). [SC3-3]
Therefore, If (If [1], then [2].), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (Either [10] or [11].).
If (Not (Either [4] or [5].).), then (Not (Either [10] or [11].).).
Therefore, Either [4] or [5]..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or (If [8], then [9].). [SC1-4]
If (Either [6] or [7].), then (If [4], then (If (If [1], then [2].), then [3].).).
If (If [8], then [9].), then (If [4], then (If (If [1], then [2].), then [3].).).
Therefore, If [4], then (If (If [1], then [2].), then [3].)..
[SC1-4]
Constructive Dilemma:
Either [14] or (If [15], then [16].).
If [14], then (Either [6] or [7].).
If (If [15], then [16].), then (If [8], then [9].).
Therefore, Either (Either [6] or [7].) or (If [8], then [9].)..
[SC3-3]
Hypothetical Syllogism:
If [5], then (If [12], then [13].).
If (If [12], then [13].), then (If (If [1], then [2].), then [3].).
Therefore, If [5], then (If (If [1], then [2].), then [3].)..
|
{0: 'A need is a condition.', 1: 'Spreaders reduce surface tension of spray droplets.', 2: 'An ad agency is an agency.', 3: 'Grills are used for grilling food.', 4: 'Television viewing by preschool children is associated with obesity.', 5: 'Plants make people feel better.', 6: 'Killing causes sadness.', 7: 'Natural stones are usually soft and smooth.', 8: 'Malformations are usually posterior and unilateral.', 9: 'Vitamins lose their potency in feed stored for more than a few weeks at or above room temperature.', 10: 'Cuckoos have flight.', 11: 'Some armadillos are bleed to death.', 12: 'Eastern society focuses on preserving a state of good health.', 13: 'Progesterone induces activity of the glandular epithelium.', 14: 'Some syndromes are caused by mutation.', 15: 'Pickles are closely related to components .', 16: 'Dialogue marketing is also different from data-base marketing.'}
| 7 |
6,045 |
['It is not the case that attractor basins are objects in space-time that link network states according to their transitions.', 'When the claim that if those that suggest if the statement that states most gazelles live in habitats is false, then foxes have skills are wrong, then attractor basins are objects in space-time that link network states according to their transitions does not correspond with reality is true, it follows that mangos have nutrients.', 'Some people mistakenly believe that mangos have nutrients.', 'Either inherent error is the error present in source documents and data or either some animals sleep with their eyes open or if airplanes use combustion engines, then people wear canada goose jackets.', 'The statement that states inherent error is the error present in source documents and data is false.', 'One may reasonably assume that if the claim that if some animals sleep with their eyes open, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality has no merit, then ivory is marketed as an aphrodisiac as well as carved for jewelry and decorative pieces.', "Provided that the claim that if some animals sleep with their eyes open, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality has no merit, we know that the statement 'ivory is marketed as an aphrodisiac as well as carved for jewelry and decorative pieces' can be considered false.", 'On the condition that the statement, if if airplanes use combustion engines, then people wear canada goose jackets, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality, does not hold, it is definitely the case that dogs encourage compassion.', "Whenever it is true that the statement, if if airplanes use combustion engines, then people wear canada goose jackets, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality, does not hold, 'the statement that states dogs encourage compassion is false' is true."]
|
It is not the case that attractor basins are objects in space-time that link network states according to their transitions. When the claim that if those that suggest if the statement that states most gazelles live in habitats is false, then foxes have skills are wrong, then attractor basins are objects in space-time that link network states according to their transitions does not correspond with reality is true, it follows that mangos have nutrients. Some people mistakenly believe that mangos have nutrients. Either inherent error is the error present in source documents and data or either some animals sleep with their eyes open or if airplanes use combustion engines, then people wear canada goose jackets. The statement that states inherent error is the error present in source documents and data is false. One may reasonably assume that if the claim that if some animals sleep with their eyes open, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality has no merit, then ivory is marketed as an aphrodisiac as well as carved for jewelry and decorative pieces. Provided that the claim that if some animals sleep with their eyes open, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality has no merit, we know that the statement 'ivory is marketed as an aphrodisiac as well as carved for jewelry and decorative pieces' can be considered false. On the condition that the statement, if if airplanes use combustion engines, then people wear canada goose jackets, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality, does not hold, it is definitely the case that dogs encourage compassion. Whenever it is true that the statement, if if airplanes use combustion engines, then people wear canada goose jackets, then if the statement that states most gazelles live in habitats is false, then the claim that foxes have skills does not correspond with reality, does not hold, 'the statement that states dogs encourage compassion is false' is true.
|
It is true that most gazelles live in habitats.
|
It is true that most gazelles live in habitats.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [5]. [SC1-2]
Not [5].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [5].).), then [7].
Not [7].
Therefore, If (Not (If (Not [0].), then [1].).), then [5]..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If (If [3], then [4].), then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [2] or (If [3], then [4].).).
Not [6].
Therefore, Either [2] or (If [3], then [4].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then [8].
If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then (Not [8].).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then (If (Not [0].), then (Not [1].).).).), then [9].
If (Not (If (If [3], then [4].), then (If (Not [0].), then (Not [1].).).).), then (Not [9].).
Therefore, If (If [3], then [4].), then (If (Not [0].), then (Not [1].).)..
|
{0: 'Most gazelles live in habitats.', 1: 'Foxes have skills.', 2: 'Some animals sleep with their eyes open.', 3: 'Airplanes use combustion engines.', 4: 'People wear canada goose jackets.', 5: 'Attractor basins are objects in space-time that link network states according to their transitions.', 6: 'Inherent error is the error present in source documents and data.', 7: 'Mangos have nutrients.', 8: 'Ivory is marketed as an aphrodisiac as well as carved for jewelry and decorative pieces.', 9: 'Dogs encourage compassion.'}
| 7 |
6,103 |
['We know that either young women experience higher rates of unemployment than young men across all race groups or scales are hierarchical , with each tone having a certain rank in the overall pecking order.', 'It is a fact that either cocoons occur on vegetation or in the soil litter or either if some reproductive success depends on resources, then banks dominate the asset management industry or if the claim that some species secrete an acrid principle, useful in medicine has no merit, then most women drive cars.', 'It is not true that cocoons occur on vegetation or in the soil litter.', 'Assuming either some cuttlefishs use beaks or therapy uses counsel techniques, we know that those that suggest if some reproductive success depends on resources, then banks dominate the asset management industry are wrong.', 'Either some cuttlefishs use beaks or therapy uses counsel techniques.', 'If young women experience higher rates of unemployment than young men across all race groups, then substance abuse affects all classes, both adults and, tragically, children.', "Provided that substance abuse affects all classes, both adults and, tragically, children, we know that if the claim that some species secrete an acrid principle, useful in medicine has no merit, then the notion that 'most women drive cars' is untrue.", "Given that it is not true that if scales are hierarchical , with each tone having a certain rank in the overall pecking order, then if the claim that some species secrete an acrid principle, useful in medicine has no merit, then the notion that 'most women drive cars' is untrue, it can be inferred that impaired circulation can mean slow or poor healing when injuries do occur.", 'We know that the claim that impaired circulation can mean slow or poor healing when injuries do occur is false.']
|
We know that either young women experience higher rates of unemployment than young men across all race groups or scales are hierarchical , with each tone having a certain rank in the overall pecking order. It is a fact that either cocoons occur on vegetation or in the soil litter or either if some reproductive success depends on resources, then banks dominate the asset management industry or if the claim that some species secrete an acrid principle, useful in medicine has no merit, then most women drive cars. It is not true that cocoons occur on vegetation or in the soil litter. Assuming either some cuttlefishs use beaks or therapy uses counsel techniques, we know that those that suggest if some reproductive success depends on resources, then banks dominate the asset management industry are wrong. Either some cuttlefishs use beaks or therapy uses counsel techniques. If young women experience higher rates of unemployment than young men across all race groups, then substance abuse affects all classes, both adults and, tragically, children. Provided that substance abuse affects all classes, both adults and, tragically, children, we know that if the claim that some species secrete an acrid principle, useful in medicine has no merit, then the notion that 'most women drive cars' is untrue. Given that it is not true that if scales are hierarchical , with each tone having a certain rank in the overall pecking order, then if the claim that some species secrete an acrid principle, useful in medicine has no merit, then the notion that 'most women drive cars' is untrue, it can be inferred that impaired circulation can mean slow or poor healing when injuries do occur. We know that the claim that impaired circulation can mean slow or poor healing when injuries do occur is false.
|
The statement 'some species secrete an acrid principle, useful in medicine' is true.
|
It is a common misconception that some species secrete an acrid principle, useful in medicine.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then [1].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either (If [2], then [3].) or (If (Not [0].), then [1].).).
Not [7].
Therefore, Either (If [2], then [3].) or (If (Not [0].), then [1].)..
[SC2-2]
Modus Ponens:
If (Either [9] or [10].), then (Not (If [2], then [3].).).
Either [9] or [10].
Therefore, Not (If [2], then [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [5], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (If (Not [0].), then (Not [1].).).
Therefore, If [4], then (If (Not [0].), then (Not [1].).)..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If (Not [0].), then (Not [1].).).).), then [8].
Not [8].
Therefore, If [5], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Some species secrete an acrid principle, useful in medicine.', 1: 'Most women drive cars.', 2: 'Some reproductive success depends on resources.', 3: 'Banks dominate the asset management industry.', 4: 'Young women experience higher rates of unemployment than young men across all race groups.', 5: 'Scales are hierarchical , with each tone having a certain rank in the overall pecking order.', 6: 'Substance abuse affects all classes, both adults and, tragically, children.', 7: 'Cocoons occur on vegetation or in the soil litter.', 8: 'Impaired circulation can mean slow or poor healing when injuries do occur.', 9: 'Some cuttlefishs use beaks.', 10: 'Therapy uses counsel techniques.'}
| 7 |
6,760 |
["Whenever it is true that endospores form inside the original bacterial cell, as described above, 'suicide ranks among the first ten causes of death in urban communities' is true.", 'The idea that librarians use statistics in many ways, including retention decisions for serials is true.', 'Should it be the case that the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, it follows that sweet liquids are taken more readily than water.', "So long as sweet liquids are taken more readily than water, 'phenobarbital decreases verapamil concentrations' is true.", 'It is rational to believe that either cattle graze in regions or altruism is a healing act.', "Whenever it is true that cattle graze in regions, 'if phenobarbital decreases verapamil concentrations, then a collimator is an optical device' is true.", 'When altruism is a healing act is true, it follows that if phenobarbital decreases verapamil concentrations, then a collimator is an optical device.', "It is a fact that either apartment houses are located in apartment complexs or japan is in effect the world's most successful socialistic planned economy.", 'Assuming apartment houses are located in apartment complexs, we know that if librarians use statistics in many ways, including retention decisions for serials, then if the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, then the claim that a collimator is an optical device does not reflect reality.', "Assuming japan is in effect the world's most successful socialistic planned economy, we know that if librarians use statistics in many ways, including retention decisions for serials, then if the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, then the claim that a collimator is an optical device does not reflect reality."]
|
Whenever it is true that endospores form inside the original bacterial cell, as described above, 'suicide ranks among the first ten causes of death in urban communities' is true. The idea that librarians use statistics in many ways, including retention decisions for serials is true. Should it be the case that the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, it follows that sweet liquids are taken more readily than water. So long as sweet liquids are taken more readily than water, 'phenobarbital decreases verapamil concentrations' is true. It is rational to believe that either cattle graze in regions or altruism is a healing act. Whenever it is true that cattle graze in regions, 'if phenobarbital decreases verapamil concentrations, then a collimator is an optical device' is true. When altruism is a healing act is true, it follows that if phenobarbital decreases verapamil concentrations, then a collimator is an optical device. It is a fact that either apartment houses are located in apartment complexs or japan is in effect the world's most successful socialistic planned economy. Assuming apartment houses are located in apartment complexs, we know that if librarians use statistics in many ways, including retention decisions for serials, then if the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, then the claim that a collimator is an optical device does not reflect reality. Assuming japan is in effect the world's most successful socialistic planned economy, we know that if librarians use statistics in many ways, including retention decisions for serials, then if the claim that if endospores form inside the original bacterial cell, as described above, then the claim that suicide ranks among the first ten causes of death in urban communities does not correspond with reality is false, then the claim that a collimator is an optical device does not reflect reality.
|
We know that the claim that endospores form inside the original bacterial cell, as described above is false.
|
Many people rightly believe that endospores form inside the original bacterial cell, as described above.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then (Not [1].).).), then [3]. [SC1-3]
If [3], then [2]. [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [0], then (Not [1].).).), then [7].
If [7], then [3].
Therefore, If (Not (If [0], then (Not [1].).).), then [3]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [3], then [2].).
If [9], then (If [3], then [2].).
Therefore, If [3], then [2]..
[SC2-2]
Modus Ponens:
If [4], then (If (Not (If [0], then (Not [1].).).), then (Not [2].).). [SC1-3]
[4]
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If (Not (If [0], then (Not [1].).).), then (Not [2].).).).
If [6], then (If [4], then (If (Not (If [0], then (Not [1].).).), then (Not [2].).).).
Therefore, If [4], then (If (Not (If [0], then (Not [1].).).), then (Not [2].).)..
|
{0: 'Endospores form inside the original bacterial cell, as described above.', 1: 'Suicide ranks among the first ten causes of death in urban communities.', 2: 'A collimator is an optical device.', 3: 'Phenobarbital decreases verapamil concentrations.', 4: 'Librarians use statistics in many ways, including retention decisions for serials.', 5: 'Apartment houses are located in apartment complexs.', 6: "Japan is in effect the world's most successful socialistic planned economy.", 7: 'Sweet liquids are taken more readily than water.', 8: 'Cattle graze in regions.', 9: 'Altruism is a healing act.'}
| 7 |
6,001 |
['One may reasonably assume that if either most locusts eat flowers or performers go on stages, then guava isa tree.', 'Once we know email marketing is new technology in the direct marketing world, we also know that guava isa tree.', 'Given that the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, it can be inferred that labor economists study the supply of workers and the demand for labor by employers.', 'Once we know greed alone can result into evils, we also know that if the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, then it is not true that labor economists study the supply of workers and the demand for labor by employers.', 'Either electrical energy is utilized in most lasers and chemical hazards abound as well or either greed alone can result into evils or if most culture has different values, then sand is located in swimsuits.', 'Some people mistakenly believe that electrical energy is utilized in most lasers and chemical hazards abound as well.', 'Given that if most culture has different values, then sand is located in swimsuits, it can be inferred that either types have excellent fruit quality or carbon dioxide is a major greenhouse gas that contributes to global warming.', 'On the condition that some cannon bones are part of gerenuks, it is definitely the case that houses are windowless to control light, summer heat, winter heat loss and year-round ventilation.', 'One may reasonably assume that if if some cannon bones are part of gerenuks, then houses are windowless to control light, summer heat, winter heat loss and year-round ventilation, then physical activity helps in the utilization of calories.', 'One may reasonably assume that if physical activity helps in the utilization of calories, then if either types have excellent fruit quality or carbon dioxide is a major greenhouse gas that contributes to global warming, then if the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, then it is not true that labor economists study the supply of workers and the demand for labor by employers.']
|
One may reasonably assume that if either most locusts eat flowers or performers go on stages, then guava isa tree. Once we know email marketing is new technology in the direct marketing world, we also know that guava isa tree. Given that the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, it can be inferred that labor economists study the supply of workers and the demand for labor by employers. Once we know greed alone can result into evils, we also know that if the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, then it is not true that labor economists study the supply of workers and the demand for labor by employers. Either electrical energy is utilized in most lasers and chemical hazards abound as well or either greed alone can result into evils or if most culture has different values, then sand is located in swimsuits. Some people mistakenly believe that electrical energy is utilized in most lasers and chemical hazards abound as well. Given that if most culture has different values, then sand is located in swimsuits, it can be inferred that either types have excellent fruit quality or carbon dioxide is a major greenhouse gas that contributes to global warming. On the condition that some cannon bones are part of gerenuks, it is definitely the case that houses are windowless to control light, summer heat, winter heat loss and year-round ventilation. One may reasonably assume that if if some cannon bones are part of gerenuks, then houses are windowless to control light, summer heat, winter heat loss and year-round ventilation, then physical activity helps in the utilization of calories. One may reasonably assume that if physical activity helps in the utilization of calories, then if either types have excellent fruit quality or carbon dioxide is a major greenhouse gas that contributes to global warming, then if the claim that either either most locusts eat flowers or performers go on stages or email marketing is new technology in the direct marketing world does not correspond with reality, then it is not true that labor economists study the supply of workers and the demand for labor by employers.
|
guava isa tree.
|
The statement that states guava isa tree is false.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0].
If [3], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [4].
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].). [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).).
If (If [6], then [7].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).). [SC3-3]
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (Either [5] or (If [6], then [7].).).
Not [8].
Therefore, Either [5] or (If [6], then [7].)..
[SC3-3]
Hypothetical Syllogism:
If (If [6], then [7].), then (Either [9] or [10].).
If (Either [9] or [10].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).). [SC2-4]
Therefore, If (If [6], then [7].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).)..
[SC2-4]
Modus Ponens:
If (If [11], then [12].), then (If (Either [9] or [10].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).).). [SC1-5]
If [11], then [12].
Therefore, If (Either [9] or [10].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).)..
[SC1-5]
Hypothetical Syllogism:
If (If [11], then [12].), then [13].
If [13], then (If (Either [9] or [10].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).).).
Therefore, If (If [11], then [12].), then (If (Either [9] or [10].), then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).).)..
|
{0: 'Guava isa tree.', 1: 'Most locusts eat flowers.', 2: 'Performers go on stages.', 3: 'Email marketing is new technology in the direct marketing world.', 4: 'Labor economists study the supply of workers and the demand for labor by employers.', 5: 'Greed alone can result into evils.', 6: 'Most culture has different values.', 7: 'Sand is located in swimsuits.', 8: 'Electrical energy is utilized in most lasers and chemical hazards abound as well.', 9: 'Types have excellent fruit quality.', 10: 'Carbon dioxide is a major greenhouse gas that contributes to global warming.', 11: 'Some cannon bones are part of gerenuks.', 12: 'Houses are windowless to control light, summer heat, winter heat loss and year-round ventilation.', 13: 'Physical activity helps in the utilization of calories.'}
| 7 |
6,823 |
["So long as it is not the case that squirrels are resilient and persistent, 'either amphibian lungs have alveoluses or insect biodiversity affects products' is true.", "On the condition that the notion that 'if continuous improvement is a driving force in every school and school system, then if it is not the case that squirrels are resilient and persistent, then it is a common misconception that either amphibian lungs have alveoluses or insect biodiversity affects products' is untrue, it is definitely the case that tests use such instruments.", 'When if fighting is an anaerobic sport, then chicks find mates is true, it follows that continuous improvement is a driving force in every school and school system.', 'Should it be the case that fighting is an anaerobic sport, it follows that chicks find mates.', 'There is good reason to believe that either tellers work bank branches or either sodium is used in the manufacture of tetraethyl lead and as a cooling agent in nuclear reactors or recent evidence indicates that coral reefs are deteriorating worldwide, and many are in crisis.', 'One may reasonably assume that if either sodium is used in the manufacture of tetraethyl lead and as a cooling agent in nuclear reactors or recent evidence indicates that coral reefs are deteriorating worldwide, and many are in crisis, then it is not the case that tests use such instruments.', 'The claim that most squirrels live in habitats has no merit.', 'There is good reason to believe that either roller coasters are a means to stress individuality and creativity or either most squirrels live in habitats or if tellers work bank branches, then it is not the case that tests use such instruments.', 'The statement, roller coasters are a means to stress individuality and creativity, does not hold.']
|
So long as it is not the case that squirrels are resilient and persistent, 'either amphibian lungs have alveoluses or insect biodiversity affects products' is true. On the condition that the notion that 'if continuous improvement is a driving force in every school and school system, then if it is not the case that squirrels are resilient and persistent, then it is a common misconception that either amphibian lungs have alveoluses or insect biodiversity affects products' is untrue, it is definitely the case that tests use such instruments. When if fighting is an anaerobic sport, then chicks find mates is true, it follows that continuous improvement is a driving force in every school and school system. Should it be the case that fighting is an anaerobic sport, it follows that chicks find mates. There is good reason to believe that either tellers work bank branches or either sodium is used in the manufacture of tetraethyl lead and as a cooling agent in nuclear reactors or recent evidence indicates that coral reefs are deteriorating worldwide, and many are in crisis. One may reasonably assume that if either sodium is used in the manufacture of tetraethyl lead and as a cooling agent in nuclear reactors or recent evidence indicates that coral reefs are deteriorating worldwide, and many are in crisis, then it is not the case that tests use such instruments. The claim that most squirrels live in habitats has no merit. There is good reason to believe that either roller coasters are a means to stress individuality and creativity or either most squirrels live in habitats or if tellers work bank branches, then it is not the case that tests use such instruments. The statement, roller coasters are a means to stress individuality and creativity, does not hold.
|
We can assume that squirrels are resilient and persistent.
|
Most squirrels eat food.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [6].
Not [6]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
[SC2-3]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (Not [6].). [SC2-4]
If (Either [8] or [9].), then (Not [6].).
Therefore, Not [6]..
[SC2-4]
Disjunctive Syllogism:
Either [10] or (If [7], then (Not [6].).). [SC1-5]
Not [10].
Therefore, If [7], then (Not [6].)..
[SC1-5]
Disjunctive Syllogism:
Either [11] or (Either [10] or (If [7], then (Not [6].).).).
Not [11].
Therefore, Either [10] or (If [7], then (Not [6].).)..
[SC2-2]
Modus Ponens:
If (If [4], then [5].), then [3].
If [4], then [5].
Therefore, [3].
|
{0: 'Squirrels are resilient and persistent.', 1: 'Amphibian lungs have alveoluses.', 2: 'Insect biodiversity affects products.', 3: 'Continuous improvement is a driving force in every school and school system.', 4: 'Fighting is an anaerobic sport.', 5: 'Chicks find mates.', 6: 'Tests use such instruments.', 7: 'Tellers work bank branches.', 8: 'Sodium is used in the manufacture of tetraethyl lead and as a cooling agent in nuclear reactors.', 9: 'Recent evidence indicates that coral reefs are deteriorating worldwide, and many are in crisis.', 10: 'Most squirrels live in habitats.', 11: 'Roller coasters are a means to stress individuality and creativity.'}
| 7 |
6,710 |
['If the statement, some china painters make their own media, does not hold, then we know that the claim that white rectangles are drown where the difference is negative, and green when difference is positive is false.', 'The claim that profit is how companies stay in business does not correspond with reality.', 'Assuming the claim that either profit is how companies stay in business or if the statement, some china painters make their own media, does not hold, then white rectangles are drown where the difference is negative, and green when difference is positive has no merit, we know that anger is a natural human emotion and as such is neither good nor bad.', "One may reasonably assume that if anger is a natural human emotion and as such is neither good nor bad, then the statement that 'some muscles surround lungs' is incorrect.", "Given that the statement 'if the claim that either profit is how companies stay in business or if the statement, some china painters make their own media, does not hold, then white rectangles are drown where the difference is negative, and green when difference is positive has no merit, then some muscles surround lungs' can be considered false, it can be inferred that either owls fly over heads or some women carry twins.", 'One may reasonably assume that if either owls fly over heads or some women carry twins, then if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial.', 'There is good reason to believe that either either vegetables include broccolis or most women hold old year babies or either financial institutions provide investment and venture capital or igneous rocks are formed when molten rock cools and hardens.', 'One may reasonably assume that if either vegetables include broccolis or most women hold old year babies, then the claim that if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial has no merit.', 'Once we know either financial institutions provide investment and venture capital or igneous rocks are formed when molten rock cools and hardens, we also know that the claim that if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial has no merit.']
|
If the statement, some china painters make their own media, does not hold, then we know that the claim that white rectangles are drown where the difference is negative, and green when difference is positive is false. The claim that profit is how companies stay in business does not correspond with reality. Assuming the claim that either profit is how companies stay in business or if the statement, some china painters make their own media, does not hold, then white rectangles are drown where the difference is negative, and green when difference is positive has no merit, we know that anger is a natural human emotion and as such is neither good nor bad. One may reasonably assume that if anger is a natural human emotion and as such is neither good nor bad, then the statement that 'some muscles surround lungs' is incorrect. Given that the statement 'if the claim that either profit is how companies stay in business or if the statement, some china painters make their own media, does not hold, then white rectangles are drown where the difference is negative, and green when difference is positive has no merit, then some muscles surround lungs' can be considered false, it can be inferred that either owls fly over heads or some women carry twins. One may reasonably assume that if either owls fly over heads or some women carry twins, then if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial. There is good reason to believe that either either vegetables include broccolis or most women hold old year babies or either financial institutions provide investment and venture capital or igneous rocks are formed when molten rock cools and hardens. One may reasonably assume that if either vegetables include broccolis or most women hold old year babies, then the claim that if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial has no merit. Once we know either financial institutions provide investment and venture capital or igneous rocks are formed when molten rock cools and hardens, we also know that the claim that if postsecondary education is about overall learning while focusing on a specific field, then most small islands have only limited resources, whether land, human and financial has no merit.
|
some china painters make their own media.
|
Some china painters make their own media.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3]. [SC1-3]
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not [3].). [SC2-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3].).), then (If [5], then [6].). [SC1-4]
Not (If [5], then [6].). [SC2-4]
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3].).), then (Either [7] or [8].).
If (Either [7] or [8].), then (If [5], then [6].).
Therefore, If (Not (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3].).), then (If [5], then [6].)..
[SC2-4]
Disjunction Elimination:
Either (Either [9] or [10].) or (Either [11] or [12].).
If (Either [9] or [10].), then (Not (If [5], then [6].).).
If (Either [11] or [12].), then (Not (If [5], then [6].).).
Therefore, Not (If [5], then [6].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [4].
If [4], then (Not [3].).
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not [3].)..
|
{0: 'Some china painters make their own media.', 1: 'White rectangles are drown where the difference is negative, and green when difference is positive.', 2: 'Profit is how companies stay in business.', 3: 'Some muscles surround lungs.', 4: 'Anger is a natural human emotion and as such is neither good nor bad.', 5: 'Postsecondary education is about overall learning while focusing on a specific field.', 6: 'Most small islands have only limited resources, whether land, human and financial.', 7: 'Owls fly over heads.', 8: 'Some women carry twins.', 9: 'Vegetables include broccolis.', 10: 'Most women hold old year babies.', 11: 'Financial institutions provide investment and venture capital.', 12: 'Igneous rocks are formed when molten rock cools and hardens.'}
| 7 |
6,614 |
["Once we know resorption is low at time of drought stress, we also know that the notion that 'either topics to provide information or white pepper is made from ripe or overly ripe peppercorns' is untrue.", 'When if minis tend to grow slower and mature faster, then horses still possess the natural defense instincts of their ancestors is true, it follows that resorption is low at time of drought stress.', 'If pesticides are also something to be aware of, then if minis tend to grow slower and mature faster, then horses still possess the natural defense instincts of their ancestors.', "When the claim that if the statement 'pesticides are also something to be aware of' can be considered false, then some plants come from rhizome which is more mature than others has no merit is true, it follows that plants also possess morphogenesis whereby tissues and organs are dif- ferentiated and developed.", "If the claim that if the statement 'pesticides are also something to be aware of' can be considered false, then some plants come from rhizome which is more mature than others has no merit, then it is not true that plants also possess morphogenesis whereby tissues and organs are dif- ferentiated and developed.", "So long as girls are kids, 'if the statement 'pesticides are also something to be aware of' can be considered false, then those that suggest some plants come from rhizome which is more mature than others are wrong' is true.", "If evaluative meaning plays a special role in social semiotics, then if the statement 'pesticides are also something to be aware of' can be considered false, then those that suggest some plants come from rhizome which is more mature than others are wrong.", 'On the condition that the claim that either girls are kids or evaluative meaning plays a special role in social semiotics has no merit, it is definitely the case that extrusive rocks have crystals that are too small to see without magnification.', "The statement 'extrusive rocks have crystals that are too small to see without magnification' can be considered false."]
|
Once we know resorption is low at time of drought stress, we also know that the notion that 'either topics to provide information or white pepper is made from ripe or overly ripe peppercorns' is untrue. When if minis tend to grow slower and mature faster, then horses still possess the natural defense instincts of their ancestors is true, it follows that resorption is low at time of drought stress. If pesticides are also something to be aware of, then if minis tend to grow slower and mature faster, then horses still possess the natural defense instincts of their ancestors. When the claim that if the statement 'pesticides are also something to be aware of' can be considered false, then some plants come from rhizome which is more mature than others has no merit is true, it follows that plants also possess morphogenesis whereby tissues and organs are dif- ferentiated and developed. If the claim that if the statement 'pesticides are also something to be aware of' can be considered false, then some plants come from rhizome which is more mature than others has no merit, then it is not true that plants also possess morphogenesis whereby tissues and organs are dif- ferentiated and developed. So long as girls are kids, 'if the statement 'pesticides are also something to be aware of' can be considered false, then those that suggest some plants come from rhizome which is more mature than others are wrong' is true. If evaluative meaning plays a special role in social semiotics, then if the statement 'pesticides are also something to be aware of' can be considered false, then those that suggest some plants come from rhizome which is more mature than others are wrong. On the condition that the claim that either girls are kids or evaluative meaning plays a special role in social semiotics has no merit, it is definitely the case that extrusive rocks have crystals that are too small to see without magnification. The statement 'extrusive rocks have crystals that are too small to see without magnification' can be considered false.
|
The notion that 'either topics to provide information or white pepper is made from ripe or overly ripe peppercorns' is untrue.
|
It is a common misconception that topics have lessons.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).).
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Modus Ponens:
If (If [3], then [4].), then [2].
If [3], then [4]. [SC2-2]
Therefore, [2].
[SC2-2]
Modus Ponens:
If [5], then (If [3], then [4].).
[5] [SC2-3]
Therefore, If [3], then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [5].), then [6]. [SC1-4]
If (Not [5].), then (Not [6].). [SC2-4]
Therefore, [5].
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not [5].), then [6].).), then [9].
If (Not (If (Not [5].), then [6].).), then (Not [9].).
Therefore, If (Not [5].), then [6]..
[SC2-4]
Disjunction Elimination:
Either [7] or [8]. [SC1-5]
If [7], then (If (Not [5].), then (Not [6].).).
If [8], then (If (Not [5].), then (Not [6].).).
Therefore, If (Not [5].), then (Not [6].)..
[SC1-5]
Modus Tonens:
If (Not (Either [7] or [8].).), then [10].
Not [10].
Therefore, Either [7] or [8]..
|
{0: 'Topics to provide information.', 1: 'White pepper is made from ripe or overly ripe peppercorns.', 2: 'Resorption is low at time of drought stress.', 3: 'Minis tend to grow slower and mature faster.', 4: 'Horses still possess the natural defense instincts of their ancestors.', 5: 'Pesticides are also something to be aware of.', 6: 'Some plants come from rhizome which is more mature than others.', 7: 'Girls are kids.', 8: 'Evaluative meaning plays a special role in social semiotics.', 9: 'Plants also possess morphogenesis whereby tissues and organs are dif- ferentiated and developed.', 10: 'Extrusive rocks have crystals that are too small to see without magnification.'}
| 7 |
6,790 |
['There is good reason to believe that either light comes from matter or if breast cancer can take a number of forms, then either most astronauts sleep for just six hours or the claim that hypnotics also differ in the dose range over which they are effective does not reflect reality.', 'We know that the claim that light comes from matter is false.', 'When iguanas prefer habitats is true, it follows that breast cancer can take a number of forms.', 'The claim that iguanas prefer habitats holds true.', 'Either one or both of these statements are true: either orangutans use compliant branches to lower the energetic cost of locomotion or most blood enters chambers, or if most astronauts sleep for just six hours, then breastfed babies have fewer learning disabilities.', 'It is not the case that either orangutans use compliant branches to lower the energetic cost of locomotion or most blood enters chambers.', 'It is a fact that either either statutory law is recorded in books called laws, statutes or codes or elongation is the angular distance between the moon and the sun or if oestrus lasts five days, and mating is unusually brief, then silicone is an artificial material that feels like natural breast tissue.', 'When either statutory law is recorded in books called laws, statutes or codes or elongation is the angular distance between the moon and the sun is true, it follows that it is a common misconception that breastfed babies have fewer learning disabilities.', 'If if oestrus lasts five days, and mating is unusually brief, then silicone is an artificial material that feels like natural breast tissue, then it is a common misconception that breastfed babies have fewer learning disabilities.']
|
There is good reason to believe that either light comes from matter or if breast cancer can take a number of forms, then either most astronauts sleep for just six hours or the claim that hypnotics also differ in the dose range over which they are effective does not reflect reality. We know that the claim that light comes from matter is false. When iguanas prefer habitats is true, it follows that breast cancer can take a number of forms. The claim that iguanas prefer habitats holds true. Either one or both of these statements are true: either orangutans use compliant branches to lower the energetic cost of locomotion or most blood enters chambers, or if most astronauts sleep for just six hours, then breastfed babies have fewer learning disabilities. It is not the case that either orangutans use compliant branches to lower the energetic cost of locomotion or most blood enters chambers. It is a fact that either either statutory law is recorded in books called laws, statutes or codes or elongation is the angular distance between the moon and the sun or if oestrus lasts five days, and mating is unusually brief, then silicone is an artificial material that feels like natural breast tissue. When either statutory law is recorded in books called laws, statutes or codes or elongation is the angular distance between the moon and the sun is true, it follows that it is a common misconception that breastfed babies have fewer learning disabilities. If if oestrus lasts five days, and mating is unusually brief, then silicone is an artificial material that feels like natural breast tissue, then it is a common misconception that breastfed babies have fewer learning disabilities.
|
The claim that hypnotics also differ in the dose range over which they are effective does not reflect reality.
|
The claim that hypnotics also differ in the dose range over which they are effective does not reflect reality.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or (Not [0].).). [SC1-2]
[3] [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [11] or (If [3], then (Either [1] or (Not [0].).).).
Not [11].
Therefore, If [3], then (Either [1] or (Not [0].).)..
[SC2-2]
Modus Ponens:
If [10], then [3].
[10]
Therefore, [3].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [1], then [2].).
Not (Either [8] or [9].).
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either (Either [4] or [5].) or (If [6], then [7].).
If (Either [4] or [5].), then (Not [2].).
If (If [6], then [7].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Hypnotics also differ in the dose range over which they are effective.', 1: 'Most astronauts sleep for just six hours.', 2: 'Breastfed babies have fewer learning disabilities.', 3: 'Breast cancer can take a number of forms.', 4: 'Statutory law is recorded in books called laws, statutes or codes.', 5: 'Elongation is the angular distance between the moon and the sun.', 6: 'Oestrus lasts five days, and mating is unusually brief.', 7: 'Silicone is an artificial material that feels like natural breast tissue.', 8: 'Orangutans use compliant branches to lower the energetic cost of locomotion.', 9: 'Most blood enters chambers.', 10: 'Iguanas prefer habitats.', 11: 'Light comes from matter.'}
| 7 |
6,408 |
['Either one or both of these statements are true: phagocytized silica disrupts lipoprotein membranes by an unknown mechanism, or if converts sugars into energy through aerobic respiration, then correspondence has (part) sections.', 'When if converts sugars into energy through aerobic respiration, then correspondence has (part) sections is true, it follows that those that suggest pocket gophers eat vegetation are wrong.', 'One may reasonably assume that if we know that the claim that if phagocytized silica disrupts lipoprotein membranes by an unknown mechanism, then those that suggest pocket gophers eat vegetation are wrong is false, then open grassland contains trees.', 'When it is a common misconception that either pigeons eat seeds or stitches go through the spine linings around three threads at head and tail is true, it follows that amorphous silicon is a relatively new material.', "On the condition that it is a common misconception that either pigeons eat seeds or stitches go through the spine linings around three threads at head and tail, it is definitely the case that the statement 'amorphous silicon is a relatively new material' can be considered false.", 'The statement, short circuits are bad things, does not hold.', 'Provided that stitches go through the spine linings around three threads at head and tail, we know that tidal power operates by building a barrier across a river estuary.', 'Provided that tidal power operates by building a barrier across a river estuary, we know that the claim that open grassland contains trees has no merit.', 'It is a fact that either designs are software development or many proteins are enzymes, which catalyze and regulate chemical reactions within organisms.', 'One may reasonably assume that if designs are software development, then either short circuits are bad things or if pigeons eat seeds, then the claim that open grassland contains trees has no merit.', 'When many proteins are enzymes, which catalyze and regulate chemical reactions within organisms is true, it follows that either short circuits are bad things or if pigeons eat seeds, then the claim that open grassland contains trees has no merit.']
|
Either one or both of these statements are true: phagocytized silica disrupts lipoprotein membranes by an unknown mechanism, or if converts sugars into energy through aerobic respiration, then correspondence has (part) sections. When if converts sugars into energy through aerobic respiration, then correspondence has (part) sections is true, it follows that those that suggest pocket gophers eat vegetation are wrong. One may reasonably assume that if we know that the claim that if phagocytized silica disrupts lipoprotein membranes by an unknown mechanism, then those that suggest pocket gophers eat vegetation are wrong is false, then open grassland contains trees. When it is a common misconception that either pigeons eat seeds or stitches go through the spine linings around three threads at head and tail is true, it follows that amorphous silicon is a relatively new material. On the condition that it is a common misconception that either pigeons eat seeds or stitches go through the spine linings around three threads at head and tail, it is definitely the case that the statement 'amorphous silicon is a relatively new material' can be considered false. The statement, short circuits are bad things, does not hold. Provided that stitches go through the spine linings around three threads at head and tail, we know that tidal power operates by building a barrier across a river estuary. Provided that tidal power operates by building a barrier across a river estuary, we know that the claim that open grassland contains trees has no merit. It is a fact that either designs are software development or many proteins are enzymes, which catalyze and regulate chemical reactions within organisms. One may reasonably assume that if designs are software development, then either short circuits are bad things or if pigeons eat seeds, then the claim that open grassland contains trees has no merit. When many proteins are enzymes, which catalyze and regulate chemical reactions within organisms is true, it follows that either short circuits are bad things or if pigeons eat seeds, then the claim that open grassland contains trees has no merit.
|
Those that suggest pocket gophers eat vegetation are wrong.
|
Those that suggest pocket gophers eat vegetation are wrong.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [4].
Not [4]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (Not [4].). [SC2-3]
If [6], then (Not [4].). [SC3-3]
Therefore, Not [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or [6].).), then [9].
If (Not (Either [5] or [6].).), then (Not [9].).
Therefore, Either [5] or [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [5], then (Not [4].).). [SC1-4]
Not [7].
Therefore, If [5], then (Not [4].)..
[SC1-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either [7] or (If [5], then (Not [4].).).).
If [11], then (Either [7] or (If [5], then (Not [4].).).).
Therefore, Either [7] or (If [5], then (Not [4].).)..
[SC3-3]
Hypothetical Syllogism:
If [6], then [8].
If [8], then (Not [4].).
Therefore, If [6], then (Not [4].)..
|
{0: 'Pocket gophers eat vegetation.', 1: 'Phagocytized silica disrupts lipoprotein membranes by an unknown mechanism.', 2: 'Converts sugars into energy through aerobic respiration.', 3: 'Correspondence has (part) sections.', 4: 'Open grassland contains trees.', 5: 'Pigeons eat seeds.', 6: 'Stitches go through the spine linings around three threads at head and tail.', 7: 'Short circuits are bad things.', 8: 'Tidal power operates by building a barrier across a river estuary.', 9: 'Amorphous silicon is a relatively new material.', 10: 'Designs are software development.', 11: 'Many proteins are enzymes, which catalyze and regulate chemical reactions within organisms.'}
| 7 |
6,736 |
['Assuming most women hold old year babies, we know that it is not true that cancer is the second leading cause of death in Canada.', 'Should it be the case that if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate, it follows that if most women hold old year babies, then cancer is the second leading cause of death in Canada.', 'It is rational to believe that either bald eagles catch fish or scientists know that roots are the most important part of a plant.', 'When bald eagles catch fish is true, it follows that either spice is what makes space travel between planets possible or if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate.', 'Should it be the case that doctors take moisten swabs, it follows that if scientists know that roots are the most important part of a plant, then either spice is what makes space travel between planets possible or if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate.', 'Those that suggest doctors take moisten swabs are right.', "Assuming the statement that 'if if birds eat food, then infants begin smiling when they are two months old and laughing when they are four months old, then if spice is what makes space travel between planets possible, then if most women hold old year babies, then cancer is the second leading cause of death in Canada' is incorrect, we know that plants are small and weak and produce no flowers.", 'It is not the case that plants are small and weak and produce no flowers.', 'On the condition that medial moraines form on top of existing glaciers, it is definitely the case that if birds eat food, then infants begin smiling when they are two months old and laughing when they are four months old.', 'It is rational to agree that medial moraines form on top of existing glaciers.']
|
Assuming most women hold old year babies, we know that it is not true that cancer is the second leading cause of death in Canada. Should it be the case that if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate, it follows that if most women hold old year babies, then cancer is the second leading cause of death in Canada. It is rational to believe that either bald eagles catch fish or scientists know that roots are the most important part of a plant. When bald eagles catch fish is true, it follows that either spice is what makes space travel between planets possible or if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate. Should it be the case that doctors take moisten swabs, it follows that if scientists know that roots are the most important part of a plant, then either spice is what makes space travel between planets possible or if good lighting protects properties, improves personal safety and traffic safety, then rabbits are food for many predators, but their high death rate is offset by their high birth rate. Those that suggest doctors take moisten swabs are right. Assuming the statement that 'if if birds eat food, then infants begin smiling when they are two months old and laughing when they are four months old, then if spice is what makes space travel between planets possible, then if most women hold old year babies, then cancer is the second leading cause of death in Canada' is incorrect, we know that plants are small and weak and produce no flowers. It is not the case that plants are small and weak and produce no flowers. On the condition that medial moraines form on top of existing glaciers, it is definitely the case that if birds eat food, then infants begin smiling when they are two months old and laughing when they are four months old. It is rational to agree that medial moraines form on top of existing glaciers.
|
It is not the case that most women hold old year babies.
|
We know that the claim that some women still believe that they have to give in to a man s demand for sex is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-2]
If [2], then (If [0], then [1].). [SC2-2]
If (If [3], then [4].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [2] or (If [3], then [4].).).
If [6], then (Either [2] or (If [3], then [4].).). [SC3-3]
Therefore, Either [2] or (If [3], then [4].)..
[SC3-3]
Modus Ponens:
If [10], then (If [6], then (Either [2] or (If [3], then [4].).).).
[10]
Therefore, If [6], then (Either [2] or (If [3], then [4].).)..
[SC2-2]
Modus Ponens:
If (If [7], then [8].), then (If [2], then (If [0], then [1].).). [SC1-3]
If [7], then [8]. [SC2-3]
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (If [7], then [8].), then (If [2], then (If [0], then [1].).).).), then [11].
Not [11].
Therefore, If (If [7], then [8].), then (If [2], then (If [0], then [1].).)..
[SC2-3]
Modus Ponens:
If [9], then (If [7], then [8].).
[9]
Therefore, If [7], then [8]..
|
{0: 'Most women hold old year babies.', 1: 'Cancer is the second leading cause of death in Canada.', 2: 'Spice is what makes space travel between planets possible.', 3: 'Good lighting protects properties, improves personal safety and traffic safety.', 4: 'Rabbits are food for many predators, but their high death rate is offset by their high birth rate.', 5: 'Bald eagles catch fish.', 6: 'Scientists know that roots are the most important part of a plant.', 7: 'Birds eat food.', 8: 'Infants begin smiling when they are two months old and laughing when they are four months old.', 9: 'Medial moraines form on top of existing glaciers.', 10: 'Doctors take moisten swabs.', 11: 'Plants are small and weak and produce no flowers.'}
| 7 |
6,957 |
['Given that if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity, it can be inferred that if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes.', 'Given that secretion demonstrates variability, it can be inferred that if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes.', 'When the claim that either frozen fruits tend to collapse when thawed, which makes accurate measurements difficult or old age is a flight of small cheeping birds skimming bare trees above a snow glaze has no merit is true, it follows that bilbies have (part) chest cavities.', 'We know that the claim that bilbies have (part) chest cavities is false.', "So long as poverty afflicts an intolerably large proportion of the world's population, 'if frozen fruits tend to collapse when thawed, which makes accurate measurements difficult, then if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity' is true.", 'Provided that old age is a flight of small cheeping birds skimming bare trees above a snow glaze, we know that specimens are samples.', 'On the condition that specimens are samples, it is definitely the case that secretion demonstrates variability.', 'We know that either aftershocks can occur in the first hours, days, weeks, or even months after the quake or people change as they grow and many things happen.', "Provided that aftershocks can occur in the first hours, days, weeks, or even months after the quake, we know that poverty afflicts an intolerably large proportion of the world's population.", "So long as people change as they grow and many things happen, 'animals have better senses of smell and hearing than humans' is true.", "Whenever it is true that some people mistakenly believe that if animals have better senses of smell and hearing than humans, then if frozen fruits tend to collapse when thawed, which makes accurate measurements difficult, then if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity, 'visual impairment affects children across the ability range' is true.", "The notion that 'visual impairment affects children across the ability range' is untrue."]
|
Given that if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity, it can be inferred that if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes. Given that secretion demonstrates variability, it can be inferred that if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes. When the claim that either frozen fruits tend to collapse when thawed, which makes accurate measurements difficult or old age is a flight of small cheeping birds skimming bare trees above a snow glaze has no merit is true, it follows that bilbies have (part) chest cavities. We know that the claim that bilbies have (part) chest cavities is false. So long as poverty afflicts an intolerably large proportion of the world's population, 'if frozen fruits tend to collapse when thawed, which makes accurate measurements difficult, then if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity' is true. Provided that old age is a flight of small cheeping birds skimming bare trees above a snow glaze, we know that specimens are samples. On the condition that specimens are samples, it is definitely the case that secretion demonstrates variability. We know that either aftershocks can occur in the first hours, days, weeks, or even months after the quake or people change as they grow and many things happen. Provided that aftershocks can occur in the first hours, days, weeks, or even months after the quake, we know that poverty afflicts an intolerably large proportion of the world's population. So long as people change as they grow and many things happen, 'animals have better senses of smell and hearing than humans' is true. Whenever it is true that some people mistakenly believe that if animals have better senses of smell and hearing than humans, then if frozen fruits tend to collapse when thawed, which makes accurate measurements difficult, then if alpha particles are helium nuclei, containing two protons and two neutrons, then activations increase capacity, 'visual impairment affects children across the ability range' is true. The notion that 'visual impairment affects children across the ability range' is untrue.
|
One may reasonably assume that if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes.
|
The notion that 'if llamas seem to sense the needs of others and are giving and gentle animals, then rotters have (part) cell membranes' is untrue.
|
FALSE
|
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then (If [0], then [1].).
If [4], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either [5] or [6]. [SC1-2]
If [5], then (If [2], then [3].). [SC2-2]
If [6], then [4]. [SC3-2]
Therefore, Either (If [2], then [3].) or [4]..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or [6].).), then [9].
Not [9].
Therefore, Either [5] or [6]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (If [5], then (If [2], then [3].).).
If [8], then (If [5], then (If [2], then [3].).). [SC3-3]
Therefore, If [5], then (If [2], then [3].)..
[SC1-3]
Constructive Dilemma:
Either [11] or [12].
If [11], then [7].
If [12], then [8].
Therefore, Either [7] or [8]..
[SC3-3]
Modus Tonens:
If (Not (If [8], then (If [5], then (If [2], then [3].).).).), then [13].
Not [13].
Therefore, If [8], then (If [5], then (If [2], then [3].).)..
[SC3-2]
Hypothetical Syllogism:
If [6], then [10].
If [10], then [4].
Therefore, If [6], then [4]..
|
{0: 'Llamas seem to sense the needs of others and are giving and gentle animals.', 1: 'Rotters have (part) cell membranes.', 2: 'Alpha particles are helium nuclei, containing two protons and two neutrons.', 3: 'Activations increase capacity.', 4: 'Secretion demonstrates variability.', 5: 'Frozen fruits tend to collapse when thawed, which makes accurate measurements difficult.', 6: 'Old age is a flight of small cheeping birds skimming bare trees above a snow glaze.', 7: "Poverty afflicts an intolerably large proportion of the world's population.", 8: 'Animals have better senses of smell and hearing than humans.', 9: 'Bilbies have (part) chest cavities.', 10: 'Specimens are samples.', 11: 'Aftershocks can occur in the first hours, days, weeks, or even months after the quake.', 12: 'People change as they grow and many things happen.', 13: 'Visual impairment affects children across the ability range.'}
| 7 |
6,366 |
['On the condition that the claim that if science is often like that, it comes from chance encounters between individuals, then if lower canines clasp the outer surface of the upper gum just in front of the upper canines, then large profits are the proof of good service and success in supplying consumers has no merit, it is definitely the case that magnitudes correspond to flux density.', 'The statement, magnitudes correspond to flux density, does not hold.', 'Assuming if copper forms onto aluminum, then bulbs are planted in the fall, placed in small pots, and covered with tin foil to block the light, we know that science is often like that, it comes from chance encounters between individuals.', 'One may reasonably assume that if it is not the case that either if copper forms onto aluminum, then bulbs are planted in the fall, placed in small pots, and covered with tin foil to block the light or copper is a known algaestat, while silver ions are a good bactericide, then row covers prevent adults from laying eggs on plants.', 'Those that suggest row covers prevent adults from laying eggs on plants are wrong.', 'Once we know copper is a known algaestat, while silver ions are a good bactericide, we also know that fish can form schools containing millions of fish.', 'Given that tea plants are evergreens, it can be inferred that if fish can form schools containing millions of fish, then science is often like that, it comes from chance encounters between individuals.', 'On the condition that the claim that tea plants are evergreens does not correspond with reality, it is definitely the case that either some workers isolate carbohydrates or parts are located in repair shops.', 'Some people mistakenly believe that either some workers isolate carbohydrates or parts are located in repair shops.']
|
On the condition that the claim that if science is often like that, it comes from chance encounters between individuals, then if lower canines clasp the outer surface of the upper gum just in front of the upper canines, then large profits are the proof of good service and success in supplying consumers has no merit, it is definitely the case that magnitudes correspond to flux density. The statement, magnitudes correspond to flux density, does not hold. Assuming if copper forms onto aluminum, then bulbs are planted in the fall, placed in small pots, and covered with tin foil to block the light, we know that science is often like that, it comes from chance encounters between individuals. One may reasonably assume that if it is not the case that either if copper forms onto aluminum, then bulbs are planted in the fall, placed in small pots, and covered with tin foil to block the light or copper is a known algaestat, while silver ions are a good bactericide, then row covers prevent adults from laying eggs on plants. Those that suggest row covers prevent adults from laying eggs on plants are wrong. Once we know copper is a known algaestat, while silver ions are a good bactericide, we also know that fish can form schools containing millions of fish. Given that tea plants are evergreens, it can be inferred that if fish can form schools containing millions of fish, then science is often like that, it comes from chance encounters between individuals. On the condition that the claim that tea plants are evergreens does not correspond with reality, it is definitely the case that either some workers isolate carbohydrates or parts are located in repair shops. Some people mistakenly believe that either some workers isolate carbohydrates or parts are located in repair shops.
|
If lower canines clasp the outer surface of the upper gum just in front of the upper canines, then large profits are the proof of good service and success in supplying consumers.
|
Assuming some viruses also have an outer covering known as an envelope that surrounds the capsid, we know that large profits are the proof of good service and success in supplying consumers.
|
Uncertain
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [3].
Not [3].
Therefore, If [2], then (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-2]
If (If [4], then [5].), then [2].
If [6], then [2]. [SC3-2]
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (Either (If [4], then [5].) or [6].).), then [8].
Not [8].
Therefore, Either (If [4], then [5].) or [6]..
[SC3-2]
Hypothetical Syllogism:
If [6], then [7].
If [7], then [2]. [SC2-3]
Therefore, If [6], then [2]..
[SC2-3]
Modus Ponens:
If [9], then (If [7], then [2].).
[9] [SC2-4]
Therefore, If [7], then [2]..
[SC2-4]
Modus Tonens:
If (Not [9].), then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, [9].
|
{0: 'Lower canines clasp the outer surface of the upper gum just in front of the upper canines.', 1: 'Large profits are the proof of good service and success in supplying consumers.', 2: 'Science is often like that, it comes from chance encounters between individuals.', 3: 'Magnitudes correspond to flux density.', 4: 'Copper forms onto aluminum.', 5: 'Bulbs are planted in the fall, placed in small pots, and covered with tin foil to block the light.', 6: 'Copper is a known algaestat, while silver ions are a good bactericide.', 7: 'Fish can form schools containing millions of fish.', 8: 'Row covers prevent adults from laying eggs on plants.', 9: 'Tea plants are evergreens.', 10: 'Some workers isolate carbohydrates.', 11: 'Parts are located in repair shops.'}
| 7 |
6,918 |
["Whenever it is true that olive oil is as variable as wine, 'pups have yellow skin' is true.", 'There is good reason to believe that either integuments lack pigment or olive oil is as variable as wine.', 'Once we know integuments lack pigment, we also know that either baroreflex function is most impaired in elderly patients with hypertension or most roots produce chemicals.', "There is good reason to believe that either cultural diversity is very important in today's world or some people mistakenly believe that either baroreflex function is most impaired in elderly patients with hypertension or most roots produce chemicals.", "One may reasonably assume that if cultural diversity is very important in today's world, then either grasslands are big open spaces or social pressures are usually to blame when horses challenge fences.", 'Assuming either grasslands are big open spaces or social pressures are usually to blame when horses challenge fences, we know that religion is the shell, while spirituality is the kernel within that shell.', "Given that it is a common misconception that if cultural diversity is very important in today's world, then we know that the claim that religion is the shell, while spirituality is the kernel within that shell is false, it can be inferred that gerenuks have horns.", 'Those that suggest gerenuks have horns are wrong.']
|
Whenever it is true that olive oil is as variable as wine, 'pups have yellow skin' is true. There is good reason to believe that either integuments lack pigment or olive oil is as variable as wine. Once we know integuments lack pigment, we also know that either baroreflex function is most impaired in elderly patients with hypertension or most roots produce chemicals. There is good reason to believe that either cultural diversity is very important in today's world or some people mistakenly believe that either baroreflex function is most impaired in elderly patients with hypertension or most roots produce chemicals. One may reasonably assume that if cultural diversity is very important in today's world, then either grasslands are big open spaces or social pressures are usually to blame when horses challenge fences. Assuming either grasslands are big open spaces or social pressures are usually to blame when horses challenge fences, we know that religion is the shell, while spirituality is the kernel within that shell. Given that it is a common misconception that if cultural diversity is very important in today's world, then we know that the claim that religion is the shell, while spirituality is the kernel within that shell is false, it can be inferred that gerenuks have horns. Those that suggest gerenuks have horns are wrong.
|
The claim that pups have yellow skin holds true.
|
Pups have eyes.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Tonens:
If [2], then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not (Either [3] or [4].).).
Not [5]. [SC2-4]
Therefore, Not (Either [3] or [4].)..
[SC2-4]
Reductio Ad Absurdum:
If [5], then [6]. [SC1-5]
If [5], then (Not [6].). [SC2-5]
Therefore, Not [5]..
[SC1-5]
Hypothetical Syllogism:
If [5], then (Either [7] or [8].).
If (Either [7] or [8].), then [6].
Therefore, If [5], then [6]..
[SC2-5]
Modus Tonens:
If (Not (If [5], then (Not [6].).).), then [9].
Not [9].
Therefore, If [5], then (Not [6].)..
|
{0: 'Pups have yellow skin.', 1: 'Olive oil is as variable as wine.', 2: 'Integuments lack pigment.', 3: 'Baroreflex function is most impaired in elderly patients with hypertension.', 4: 'Most roots produce chemicals.', 5: "Cultural diversity is very important in today's world.", 6: 'Religion is the shell, while spirituality is the kernel within that shell.', 7: 'Grasslands are big open spaces.', 8: 'Social pressures are usually to blame when horses challenge fences.', 9: 'Gerenuks have horns.'}
| 7 |
6,267 |
['It is fair to say that myths are traditional stories.', "The statement that 'all children have a healthy start in life' is incorrect.", 'Those that suggest food enters the esophagus and is then stored in the crop until it is ready for digestion are wrong.', 'Should it be the case that human health is considered to be part of the living system, it follows that either food enters the esophagus and is then stored in the crop until it is ready for digestion or if the claim that if myths are traditional stories, then if mites prefer warm, moist surroundings such as the inside of a mattress when someone is on it, then temperature is an abiotic factor that influences where organisms can survive does not reflect reality, then all children have a healthy start in life.', 'On the condition that it is a common misconception that if some animals show only the chronic form with or without acute flare-ups, then human health is considered to be part of the living system, it is definitely the case that caribou has (part) heads.', 'Given that it is a common misconception that if some animals show only the chronic form with or without acute flare-ups, then human health is considered to be part of the living system, it can be inferred that those that suggest caribou has (part) heads are wrong.', 'If squirrels lose excess heat to shaded surfaces and camels to cooler night air, then some animals show only the chronic form with or without acute flare-ups.', 'It is fair to say that squirrels lose excess heat to shaded surfaces and camels to cooler night air.']
|
It is fair to say that myths are traditional stories. The statement that 'all children have a healthy start in life' is incorrect. Those that suggest food enters the esophagus and is then stored in the crop until it is ready for digestion are wrong. Should it be the case that human health is considered to be part of the living system, it follows that either food enters the esophagus and is then stored in the crop until it is ready for digestion or if the claim that if myths are traditional stories, then if mites prefer warm, moist surroundings such as the inside of a mattress when someone is on it, then temperature is an abiotic factor that influences where organisms can survive does not reflect reality, then all children have a healthy start in life. On the condition that it is a common misconception that if some animals show only the chronic form with or without acute flare-ups, then human health is considered to be part of the living system, it is definitely the case that caribou has (part) heads. Given that it is a common misconception that if some animals show only the chronic form with or without acute flare-ups, then human health is considered to be part of the living system, it can be inferred that those that suggest caribou has (part) heads are wrong. If squirrels lose excess heat to shaded surfaces and camels to cooler night air, then some animals show only the chronic form with or without acute flare-ups. It is fair to say that squirrels lose excess heat to shaded surfaces and camels to cooler night air.
|
So long as mites prefer warm, moist surroundings such as the inside of a mattress when someone is on it, 'temperature is an abiotic factor that influences where organisms can survive' is true.
|
It is not the case that if mites prefer warm, moist surroundings such as the inside of a mattress when someone is on it, then temperature is an abiotic factor that influences where organisms can survive.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [3]. [SC1-2]
Not [3].
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [2], then (If [0], then [1].).).), then [3].). [SC1-3]
Not [4].
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [3]..
[SC1-3]
Modus Ponens:
If [5], then (Either [4] or (If (Not (If [2], then (If [0], then [1].).).), then [3].).).
[5] [SC2-4]
Therefore, Either [4] or (If (Not (If [2], then (If [0], then [1].).).), then [3].)..
[SC2-4]
Modus Ponens:
If [6], then [5]. [SC1-5]
[6] [SC2-5]
Therefore, [5].
[SC1-5]
Reductio Ad Absurdum:
If (Not (If [6], then [5].).), then [7].
If (Not (If [6], then [5].).), then (Not [7].).
Therefore, If [6], then [5]..
[SC2-5]
Modus Ponens:
If [8], then [6].
[8]
Therefore, [6].
|
{0: 'Mites prefer warm, moist surroundings such as the inside of a mattress when someone is on it.', 1: 'Temperature is an abiotic factor that influences where organisms can survive.', 2: 'Myths are traditional stories.', 3: 'All children have a healthy start in life.', 4: 'Food enters the esophagus and is then stored in the crop until it is ready for digestion.', 5: 'Human health is considered to be part of the living system.', 6: 'Some animals show only the chronic form with or without acute flare-ups.', 7: 'Caribou has (part) heads.', 8: 'Squirrels lose excess heat to shaded surfaces and camels to cooler night air.'}
| 7 |
6,230 |
['At least one of two things is true: some arborists use computer programs to calculate the forces and weights within a tree, or either banana trees are heavy feeders and like organic matter or systemic lupus can affect almost any organ or system of the body.', "One may reasonably assume that if it is a common misconception that if banana trees are heavy feeders and like organic matter, then chives are part of the onion family, then the notion that 'some idols have feet of silver or gold' is untrue.", 'Those that suggest if cyanobacteria are photosynthetic organisms belonging to the Moneran kingdom, then urge incontinence is an inability to hold the urine once the urge to urinate occurs are wrong.', 'When promoters are the part of a gene that acts as a switch to regulate when a gene product is made is true, it follows that it is not the case that some arborists use computer programs to calculate the forces and weights within a tree.', 'It is true that promoters are the part of a gene that acts as a switch to regulate when a gene product is made.', 'We know that at least one of two things is true: dichromacy is a congenital abnormality, or if it is a common misconception that if banana trees are heavy feeders and like organic matter, then chives are part of the onion family, then some idols have feet of silver or gold.', 'The statement that states dichromacy is a congenital abnormality is false.', "If the notion that 'if systemic lupus can affect almost any organ or system of the body, then chives are part of the onion family' is untrue, then corn pests have trouble.", "Whenever it is true that corn pests have trouble, 'if cyanobacteria are photosynthetic organisms belonging to the Moneran kingdom, then urge incontinence is an inability to hold the urine once the urge to urinate occurs' is true."]
|
At least one of two things is true: some arborists use computer programs to calculate the forces and weights within a tree, or either banana trees are heavy feeders and like organic matter or systemic lupus can affect almost any organ or system of the body. One may reasonably assume that if it is a common misconception that if banana trees are heavy feeders and like organic matter, then chives are part of the onion family, then the notion that 'some idols have feet of silver or gold' is untrue. Those that suggest if cyanobacteria are photosynthetic organisms belonging to the Moneran kingdom, then urge incontinence is an inability to hold the urine once the urge to urinate occurs are wrong. When promoters are the part of a gene that acts as a switch to regulate when a gene product is made is true, it follows that it is not the case that some arborists use computer programs to calculate the forces and weights within a tree. It is true that promoters are the part of a gene that acts as a switch to regulate when a gene product is made. We know that at least one of two things is true: dichromacy is a congenital abnormality, or if it is a common misconception that if banana trees are heavy feeders and like organic matter, then chives are part of the onion family, then some idols have feet of silver or gold. The statement that states dichromacy is a congenital abnormality is false. If the notion that 'if systemic lupus can affect almost any organ or system of the body, then chives are part of the onion family' is untrue, then corn pests have trouble. Whenever it is true that corn pests have trouble, 'if cyanobacteria are photosynthetic organisms belonging to the Moneran kingdom, then urge incontinence is an inability to hold the urine once the urge to urinate occurs' is true.
|
It is true that chives are part of the onion family.
|
Chives are a perennial plant with pretty lavender flowers.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [6] or (Either [1] or [2].).
Not [6]. [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [3]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [3].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (If (Not (If [1], then [0].).), then [3].).
Not [9].
Therefore, If (Not (If [1], then [0].).), then [3]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].).
Therefore, If [2], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [2], then [0].).), then [8].
If [8], then (If [4], then [5].).
Therefore, If (Not (If [2], then [0].).), then (If [4], then [5].)..
|
{0: 'Chives are part of the onion family.', 1: 'Banana trees are heavy feeders and like organic matter.', 2: 'Systemic lupus can affect almost any organ or system of the body.', 3: 'Some idols have feet of silver or gold.', 4: 'Cyanobacteria are photosynthetic organisms belonging to the Moneran kingdom.', 5: 'Urge incontinence is an inability to hold the urine once the urge to urinate occurs.', 6: 'Some arborists use computer programs to calculate the forces and weights within a tree.', 7: 'Promoters are the part of a gene that acts as a switch to regulate when a gene product is made.', 8: 'Corn pests have trouble.', 9: 'Dichromacy is a congenital abnormality.'}
| 7 |
6,996 |
['Should it be the case that wolves compete for prey, it follows that golden eagles have excellent eyesights.', 'Given that if wolves compete for prey, then golden eagles have excellent eyesights, it can be inferred that wing birds have nest sites.', 'Those that suggest proteins reduce excretion are wrong.', "Given that some people mistakenly believe that if the statement 'if the notion that 'if wing birds have nest sites, then maternal death is the leading cause of fetal death in trauma' is untrue, then proteins reduce excretion' can be considered false, then folktales are an integral part of Louisiana's heritage, it can be inferred that if resistance causes friction, then hops acts as a natural sedative to calm the nerves and reduce stress and anxiety.", "Assuming folktales are an integral part of Louisiana's heritage, we know that turkey vultures develop warts in front of their eyes as they mature.", "The notion that 'turkey vultures develop warts in front of their eyes as they mature' is untrue.", 'Given that if large intestines have tiny tubes, then injection molding is by far the most common plastic manufacturing process used to day, it can be inferred that the claim that if resistance causes friction, then hops acts as a natural sedative to calm the nerves and reduce stress and anxiety is false.', 'Assuming large intestines have tiny tubes, we know that injection molding is by far the most common plastic manufacturing process used to day.']
|
Should it be the case that wolves compete for prey, it follows that golden eagles have excellent eyesights. Given that if wolves compete for prey, then golden eagles have excellent eyesights, it can be inferred that wing birds have nest sites. Those that suggest proteins reduce excretion are wrong. Given that some people mistakenly believe that if the statement 'if the notion that 'if wing birds have nest sites, then maternal death is the leading cause of fetal death in trauma' is untrue, then proteins reduce excretion' can be considered false, then folktales are an integral part of Louisiana's heritage, it can be inferred that if resistance causes friction, then hops acts as a natural sedative to calm the nerves and reduce stress and anxiety. Assuming folktales are an integral part of Louisiana's heritage, we know that turkey vultures develop warts in front of their eyes as they mature. The notion that 'turkey vultures develop warts in front of their eyes as they mature' is untrue. Given that if large intestines have tiny tubes, then injection molding is by far the most common plastic manufacturing process used to day, it can be inferred that the claim that if resistance causes friction, then hops acts as a natural sedative to calm the nerves and reduce stress and anxiety is false. Assuming large intestines have tiny tubes, we know that injection molding is by far the most common plastic manufacturing process used to day.
|
The statement that states maternal death is the leading cause of fetal death in trauma is right.
|
The statement that states maternal death is the leading cause of fetal death in trauma is right.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [3].
If [3], then [0]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [0].).), then [4]. [SC1-3]
Not [4].
Therefore, If [3], then [0]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [3], then [0].).), then [4].).), then [5]. [SC1-4]
Not [5]. [SC2-4]
Therefore, If (Not (If [3], then [0].).), then [4]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Not (If [3], then [0].).), then [4].).), then [5].).), then (If [6], then [7].).
Not (If [6], then [7].). [SC2-5]
Therefore, If (Not (If (Not (If [3], then [0].).), then [4].).), then [5]..
[SC2-5]
Modus Ponens:
If (If [9], then [10].), then (Not (If [6], then [7].).).
If [9], then [10].
Therefore, Not (If [6], then [7].)..
[SC2-4]
Modus Tonens:
If [5], then [8].
Not [8].
Therefore, Not [5]..
|
{0: 'Maternal death is the leading cause of fetal death in trauma.', 1: 'Wolves compete for prey.', 2: 'Golden eagles have excellent eyesights.', 3: 'Wing birds have nest sites.', 4: 'Proteins reduce excretion.', 5: "Folktales are an integral part of Louisiana's heritage.", 6: 'Resistance causes friction.', 7: 'Hops acts as a natural sedative to calm the nerves and reduce stress and anxiety.', 8: 'Turkey vultures develop warts in front of their eyes as they mature.', 9: 'Large intestines have tiny tubes.', 10: 'Injection molding is by far the most common plastic manufacturing process used to day.'}
| 7 |
6,635 |
['The statement, dill seeds come from flowers, does not hold.', 'Should it be the case that the statement that states if those that suggest rinks have (part) roofs are wrong, then dill seeds come from flowers is false, it follows that autos have (part) odometers.', 'When autos have (part) odometers is true, it follows that either conservation is practiced in transportation systems and methods or biological yield refers to total plant dry matter production.', 'On the condition that the claim that if autos have (part) odometers, then the claim that either conservation is practiced in transportation systems and methods or biological yield refers to total plant dry matter production does not reflect reality is false, it is definitely the case that either dogs are gray wolves, despite their diversity in size and proportion or improve health supports interest.', 'If either dogs are gray wolves, despite their diversity in size and proportion or improve health supports interest, then school choice refers to providing vouchers for parents to attend non-public schools.', 'The statement, all microorganism have the potential to develop resistance to germicides, does not hold.', 'There is good reason to believe that either if professions are occupations, then dogs can be off leash as long as they are under voice control or most spiders have long legs.', "So long as if professions are occupations, then dogs can be off leash as long as they are under voice control, 'all microorganism have the potential to develop resistance to germicides' is true.", "One may reasonably assume that if most spiders have long legs, then the notion that 'school choice refers to providing vouchers for parents to attend non-public schools' is untrue."]
|
The statement, dill seeds come from flowers, does not hold. Should it be the case that the statement that states if those that suggest rinks have (part) roofs are wrong, then dill seeds come from flowers is false, it follows that autos have (part) odometers. When autos have (part) odometers is true, it follows that either conservation is practiced in transportation systems and methods or biological yield refers to total plant dry matter production. On the condition that the claim that if autos have (part) odometers, then the claim that either conservation is practiced in transportation systems and methods or biological yield refers to total plant dry matter production does not reflect reality is false, it is definitely the case that either dogs are gray wolves, despite their diversity in size and proportion or improve health supports interest. If either dogs are gray wolves, despite their diversity in size and proportion or improve health supports interest, then school choice refers to providing vouchers for parents to attend non-public schools. The statement, all microorganism have the potential to develop resistance to germicides, does not hold. There is good reason to believe that either if professions are occupations, then dogs can be off leash as long as they are under voice control or most spiders have long legs. So long as if professions are occupations, then dogs can be off leash as long as they are under voice control, 'all microorganism have the potential to develop resistance to germicides' is true. One may reasonably assume that if most spiders have long legs, then the notion that 'school choice refers to providing vouchers for parents to attend non-public schools' is untrue.
|
It is a simple truth that rinks have (part) roofs.
|
It is a simple truth that rinks have (part) roofs.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (Either [3] or [4].).
If [2], then (Not (Either [3] or [4].).). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Tonens:
If (Not (If [2], then (Not (Either [3] or [4].).).).), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-4]
Therefore, If [2], then (Not (Either [3] or [4].).)..
[SC2-4]
Modus Tonens:
If (Either [5] or [6].), then [7].
Not [7]. [SC2-5]
Therefore, Not (Either [5] or [6].)..
[SC2-5]
Disjunctive Syllogism:
Either [8] or (Not [7].). [SC1-6]
Not [8].
Therefore, Not [7]..
[SC1-6]
Constructive Dilemma:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then [8].
If [11], then (Not [7].).
Therefore, Either [8] or (Not [7].)..
|
{0: 'Rinks have (part) roofs.', 1: 'Dill seeds come from flowers.', 2: 'Autos have (part) odometers.', 3: 'Conservation is practiced in transportation systems and methods.', 4: 'Biological yield refers to total plant dry matter production.', 5: 'Dogs are gray wolves, despite their diversity in size and proportion.', 6: 'Improve health supports interest.', 7: 'School choice refers to providing vouchers for parents to attend non-public schools.', 8: 'All microorganism have the potential to develop resistance to germicides.', 9: 'Professions are occupations.', 10: 'Dogs can be off leash as long as they are under voice control.', 11: 'Most spiders have long legs.'}
| 7 |
6,698 |
['If sunlight is a factor in decomposition, then coils are used for hair.', 'Either budgies have (part) mouths or if coils are used for hair, then cash flow is one of the primary reasons why businesses lease.', 'It is a common misconception that budgies have (part) mouths.', 'Should it be the case that heart sound is one of the most important sounds, it follows that if cash flow is one of the primary reasons why businesses lease, then underground burrows provide shelter.', 'The claim that heart sound is one of the most important sounds holds true.', "So long as underground burrows provide shelter, 'those that suggest turbines generate energy are wrong' is true.", 'If underground burrows provide shelter, then seeds have layers.', "So long as seeds have layers, 'turbines generate energy' is true."]
|
If sunlight is a factor in decomposition, then coils are used for hair. Either budgies have (part) mouths or if coils are used for hair, then cash flow is one of the primary reasons why businesses lease. It is a common misconception that budgies have (part) mouths. Should it be the case that heart sound is one of the most important sounds, it follows that if cash flow is one of the primary reasons why businesses lease, then underground burrows provide shelter. The claim that heart sound is one of the most important sounds holds true. So long as underground burrows provide shelter, 'those that suggest turbines generate energy are wrong' is true. If underground burrows provide shelter, then seeds have layers. So long as seeds have layers, 'turbines generate energy' is true.
|
Those that suggest sunlight is a factor in decomposition are wrong.
|
The statement that states sunlight is a factor in decomposition is right.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3].
If [3], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [3], then [1].).
Not [5].
Therefore, If [3], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [6], then (If [1], then [2].).
[6]
Therefore, If [1], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [7].
If [7], then [4].
Therefore, If [2], then [4]..
|
{0: 'Sunlight is a factor in decomposition.', 1: 'Cash flow is one of the primary reasons why businesses lease.', 2: 'Underground burrows provide shelter.', 3: 'Coils are used for hair.', 4: 'Turbines generate energy.', 5: 'Budgies have (part) mouths.', 6: 'Heart sound is one of the most important sounds.', 7: 'Seeds have layers.'}
| 7 |
6,251 |
['Assuming we know that the claim that if domestic industry is based on the processing of agricultural products, oil refining, and chemicals, then reading cause knowing is false, we know that mammary glands secrete substances.', 'When we know that the claim that if domestic industry is based on the processing of agricultural products, oil refining, and chemicals, then reading cause knowing is false is true, it follows that the claim that mammary glands secrete substances is false.', "Whenever it is true that some salt comes from ponds, 'the statement that 'reading cause knowing' is incorrect' is true.", "The statement 'some plants are carnivorous and supplement their mineral supply by eating animals' can be considered true.", 'It is rational to believe that either invasive organisms affect health or if some plants are carnivorous and supplement their mineral supply by eating animals, then some salt comes from ponds.', 'Once we know invasive organisms affect health, we also know that if construction cranes rise more numerous than trees, then a gavel is a beetle.', 'We know that either colonies can consist of several hundreds of birds living in one big tree or purple crystal is more precious than clear crystal.', 'Given that colonies can consist of several hundreds of birds living in one big tree, it can be inferred that if invasive organisms affect health, then the claim that if construction cranes rise more numerous than trees, then a gavel is a beetle is false.', 'Should it be the case that purple crystal is more precious than clear crystal, it follows that if invasive organisms affect health, then the claim that if construction cranes rise more numerous than trees, then a gavel is a beetle is false.']
|
Assuming we know that the claim that if domestic industry is based on the processing of agricultural products, oil refining, and chemicals, then reading cause knowing is false, we know that mammary glands secrete substances. When we know that the claim that if domestic industry is based on the processing of agricultural products, oil refining, and chemicals, then reading cause knowing is false is true, it follows that the claim that mammary glands secrete substances is false. Whenever it is true that some salt comes from ponds, 'the statement that 'reading cause knowing' is incorrect' is true. The statement 'some plants are carnivorous and supplement their mineral supply by eating animals' can be considered true. It is rational to believe that either invasive organisms affect health or if some plants are carnivorous and supplement their mineral supply by eating animals, then some salt comes from ponds. Once we know invasive organisms affect health, we also know that if construction cranes rise more numerous than trees, then a gavel is a beetle. We know that either colonies can consist of several hundreds of birds living in one big tree or purple crystal is more precious than clear crystal. Given that colonies can consist of several hundreds of birds living in one big tree, it can be inferred that if invasive organisms affect health, then the claim that if construction cranes rise more numerous than trees, then a gavel is a beetle is false. Should it be the case that purple crystal is more precious than clear crystal, it follows that if invasive organisms affect health, then the claim that if construction cranes rise more numerous than trees, then a gavel is a beetle is false.
|
The statement 'domestic industry is based on the processing of agricultural products, oil refining, and chemicals' can be considered false.
|
The statement 'domestic industry is based on the processing of agricultural products, oil refining, and chemicals' is true.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [3].
If (Not (If [0], then [1].).), then (Not [3].).
Therefore, If [0], then [1]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [4], then [2]. [SC1-3]
[4]
Therefore, [2].
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If [4], then [2].).
Not [5]. [SC2-4]
Therefore, If [4], then [2]..
[SC2-4]
Reductio Ad Absurdum:
If [5], then (If [6], then [7].).
If [5], then (Not (If [6], then [7].).). [SC2-5]
Therefore, Not [5]..
[SC2-5]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (Not (If [6], then [7].).).).
If [9], then (If [5], then (Not (If [6], then [7].).).).
Therefore, If [5], then (Not (If [6], then [7].).)..
|
{0: 'Domestic industry is based on the processing of agricultural products, oil refining, and chemicals.', 1: 'Reading cause knowing.', 2: 'Some salt comes from ponds.', 3: 'Mammary glands secrete substances.', 4: 'Some plants are carnivorous and supplement their mineral supply by eating animals.', 5: 'Invasive organisms affect health.', 6: 'Construction cranes rise more numerous than trees.', 7: 'A gavel is a beetle.', 8: 'Colonies can consist of several hundreds of birds living in one big tree.', 9: 'Purple crystal is more precious than clear crystal.'}
| 7 |
6,783 |
["There is good reason to believe that either either longitude is tapped location's longitude or central banks are heavily enmeshed in the very fabric of the commercial banking system or beer is an alcoholic beverage made from malted grains, hops, yeast, and water.", "Whenever it is true that either longitude is tapped location's longitude or central banks are heavily enmeshed in the very fabric of the commercial banking system, 'if some magnetic fields surround wire, then money is a medium of exchange, a store of value and a measure of value' is true.", 'If rain water is trapped in the hole in summer, snow in winter, then if beer is an alcoholic beverage made from malted grains, hops, yeast, and water, then if some magnetic fields surround wire, then money is a medium of exchange, a store of value and a measure of value.', 'Many people rightly believe that rain water is trapped in the hole in summer, snow in winter.', "So long as network servers are usually powerful microcomputers used in either a dedicated or nondedicated mode, 'if the claim that some magnetic fields surround wire does not reflect reality, then fire alarm is located in buildings' is true.", 'network servers are usually powerful microcomputers used in either a dedicated or nondedicated mode.', 'Either catecholamines counterbalance the release of insulin that occurs when sugar is eaten or if children inherit qualities from their mothers and fathers in their genes, then all dogs have minimal vaccines and are fed a raw food diet.', 'One may reasonably assume that if if children inherit qualities from their mothers and fathers in their genes, then all dogs have minimal vaccines and are fed a raw food diet, then if the claim that some magnetic fields surround wire does not reflect reality, then we know that the claim that fire alarm is located in buildings is false.', 'Given that access time is the time from when a read or write request is issued to when data transfer begins, it can be inferred that if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then if the claim that some magnetic fields surround wire does not reflect reality, then we know that the claim that fire alarm is located in buildings is false.', "The statement 'access time is the time from when a read or write request is issued to when data transfer begins' is true."]
|
There is good reason to believe that either either longitude is tapped location's longitude or central banks are heavily enmeshed in the very fabric of the commercial banking system or beer is an alcoholic beverage made from malted grains, hops, yeast, and water. Whenever it is true that either longitude is tapped location's longitude or central banks are heavily enmeshed in the very fabric of the commercial banking system, 'if some magnetic fields surround wire, then money is a medium of exchange, a store of value and a measure of value' is true. If rain water is trapped in the hole in summer, snow in winter, then if beer is an alcoholic beverage made from malted grains, hops, yeast, and water, then if some magnetic fields surround wire, then money is a medium of exchange, a store of value and a measure of value. Many people rightly believe that rain water is trapped in the hole in summer, snow in winter. So long as network servers are usually powerful microcomputers used in either a dedicated or nondedicated mode, 'if the claim that some magnetic fields surround wire does not reflect reality, then fire alarm is located in buildings' is true. network servers are usually powerful microcomputers used in either a dedicated or nondedicated mode. Either catecholamines counterbalance the release of insulin that occurs when sugar is eaten or if children inherit qualities from their mothers and fathers in their genes, then all dogs have minimal vaccines and are fed a raw food diet. One may reasonably assume that if if children inherit qualities from their mothers and fathers in their genes, then all dogs have minimal vaccines and are fed a raw food diet, then if the claim that some magnetic fields surround wire does not reflect reality, then we know that the claim that fire alarm is located in buildings is false. Given that access time is the time from when a read or write request is issued to when data transfer begins, it can be inferred that if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then if the claim that some magnetic fields surround wire does not reflect reality, then we know that the claim that fire alarm is located in buildings is false. The statement 'access time is the time from when a read or write request is issued to when data transfer begins' is true.
|
Many people rightly believe that money is a medium of exchange, a store of value and a measure of value.
|
It is not the case that money is a medium of exchange, a store of value and a measure of value.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (If [1], then [0].).
If [5], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Modus Ponens:
If [7], then (If [5], then (If [1], then [0].).).
[7]
Therefore, If [5], then (If [1], then [0].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [6], then (If (Not [1].), then [2].).
[6]
Therefore, If (Not [1].), then [2]..
[SC2-2]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If (Not [1].), then (Not [2].).). [SC2-3]
If (If [9], then [10].), then (If (Not [1].), then (Not [2].).).
Therefore, If (Not [1].), then (Not [2].)..
[SC2-3]
Modus Ponens:
If [11], then (If [8], then (If (Not [1].), then (Not [2].).).).
[11]
Therefore, If [8], then (If (Not [1].), then (Not [2].).)..
|
{0: 'Money is a medium of exchange, a store of value and a measure of value.', 1: 'Some magnetic fields surround wire.', 2: 'Fire alarm is located in buildings.', 3: "Longitude is tapped location's longitude.", 4: 'Central banks are heavily enmeshed in the very fabric of the commercial banking system.', 5: 'Beer is an alcoholic beverage made from malted grains, hops, yeast, and water.', 6: 'Network servers are usually powerful microcomputers used in either a dedicated or nondedicated mode.', 7: 'Rain water is trapped in the hole in summer, snow in winter.', 8: 'Catecholamines counterbalance the release of insulin that occurs when sugar is eaten.', 9: 'Children inherit qualities from their mothers and fathers in their genes.', 10: 'All dogs have minimal vaccines and are fed a raw food diet.', 11: 'Access time is the time from when a read or write request is issued to when data transfer begins.'}
| 7 |
6,819 |
['It is rational to agree that hormones drive the production of breast milk.', "So long as hormones drive the production of breast milk, 'if problems persist for few weeks, then mastics are sticky adhesives that consist of a bonding agent and a carrier' is true.", 'Given that if problems persist for few weeks, then mastics are sticky adhesives that consist of a bonding agent and a carrier, it can be inferred that if clandestine abortions performed under unsafe conditions frequently result in serious complications, then the statement, refractometers measure the change in the direction of light as it passes from air into water, does not hold.', 'Should it be the case that the claim that if the statement, clandestine abortions performed under unsafe conditions frequently result in serious complications, does not hold, then people also use propane to cook their food does not reflect reality, it follows that convention is a rule that people of a given community agree to follow.', "The notion that 'convention is a rule that people of a given community agree to follow' is untrue.", 'Assuming people also use propane to cook their food, we know that some people mistakenly believe that either some shrews develop life or chefs tend to be males who work full-time.', 'We know that at least one of two things is true: sharks are among the most vulnerable species in the ocean, or if people also use propane to cook their food, then either some shrews develop life or chefs tend to be males who work full-time.', 'The claim that sharks are among the most vulnerable species in the ocean does not reflect reality.']
|
It is rational to agree that hormones drive the production of breast milk. So long as hormones drive the production of breast milk, 'if problems persist for few weeks, then mastics are sticky adhesives that consist of a bonding agent and a carrier' is true. Given that if problems persist for few weeks, then mastics are sticky adhesives that consist of a bonding agent and a carrier, it can be inferred that if clandestine abortions performed under unsafe conditions frequently result in serious complications, then the statement, refractometers measure the change in the direction of light as it passes from air into water, does not hold. Should it be the case that the claim that if the statement, clandestine abortions performed under unsafe conditions frequently result in serious complications, does not hold, then people also use propane to cook their food does not reflect reality, it follows that convention is a rule that people of a given community agree to follow. The notion that 'convention is a rule that people of a given community agree to follow' is untrue. Assuming people also use propane to cook their food, we know that some people mistakenly believe that either some shrews develop life or chefs tend to be males who work full-time. We know that at least one of two things is true: sharks are among the most vulnerable species in the ocean, or if people also use propane to cook their food, then either some shrews develop life or chefs tend to be males who work full-time. The claim that sharks are among the most vulnerable species in the ocean does not reflect reality.
|
The statement, refractometers measure the change in the direction of light as it passes from air into water, does not hold.
|
The notion that 'refractometers use a scale to quantify the effect that dissolved solids in water have on light' is untrue.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).). [SC1-2]
[2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [2], then (If [7], then [8].).
If (If [7], then [8].), then (If [1], then (Not [0].).).
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If (Not [1].), then [3].).), then [4].
Not [4].
Therefore, If (Not [1].), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then (Either [5] or [6].). [SC1-3]
If [3], then (Not (Either [5] or [6].).).
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If [3], then (Either [5] or [6].).).
Not [9].
Therefore, If [3], then (Either [5] or [6].)..
|
{0: 'Refractometers measure the change in the direction of light as it passes from air into water.', 1: 'Clandestine abortions performed under unsafe conditions frequently result in serious complications.', 2: 'Hormones drive the production of breast milk.', 3: 'People also use propane to cook their food.', 4: 'Convention is a rule that people of a given community agree to follow.', 5: 'Some shrews develop life.', 6: 'Chefs tend to be males who work full-time.', 7: 'Problems persist for few weeks.', 8: 'Mastics are sticky adhesives that consist of a bonding agent and a carrier.', 9: 'Sharks are among the most vulnerable species in the ocean.'}
| 7 |
6,141 |
['If it is not the case that either some animals prey on armadillos or primitive societies are societies without a State, then ozone is one of the greenhouse gases.', 'We know that the claim that ozone is one of the greenhouse gases is false.', 'Should it be the case that some animals prey on armadillos, it follows that we know that the claim that either burrows contain tunnels or humans are whole people with a mind, body and soul is false.', 'If some animals prey on armadillos, then giraffes have a special niche in the African savanna.', 'It is a fact that either parasite drag is the drag incurred from the nonlifting portions of the aircraft or socialism is a stage on the way to communism.', 'Should it be the case that parasite drag is the drag incurred from the nonlifting portions of the aircraft, it follows that if cold oil is thick, then if giraffes have a special niche in the African savanna, then either burrows contain tunnels or humans are whole people with a mind, body and soul.', 'Given that socialism is a stage on the way to communism, it can be inferred that if cold oil is thick, then if giraffes have a special niche in the African savanna, then either burrows contain tunnels or humans are whole people with a mind, body and soul.', 'There is good reason to believe that either antibiotics are totally worthless and ineffective for the treatment of flu or other viral diseases or cold oil is thick.', 'The claim that antibiotics are totally worthless and ineffective for the treatment of flu or other viral diseases does not reflect reality.']
|
If it is not the case that either some animals prey on armadillos or primitive societies are societies without a State, then ozone is one of the greenhouse gases. We know that the claim that ozone is one of the greenhouse gases is false. Should it be the case that some animals prey on armadillos, it follows that we know that the claim that either burrows contain tunnels or humans are whole people with a mind, body and soul is false. If some animals prey on armadillos, then giraffes have a special niche in the African savanna. It is a fact that either parasite drag is the drag incurred from the nonlifting portions of the aircraft or socialism is a stage on the way to communism. Should it be the case that parasite drag is the drag incurred from the nonlifting portions of the aircraft, it follows that if cold oil is thick, then if giraffes have a special niche in the African savanna, then either burrows contain tunnels or humans are whole people with a mind, body and soul. Given that socialism is a stage on the way to communism, it can be inferred that if cold oil is thick, then if giraffes have a special niche in the African savanna, then either burrows contain tunnels or humans are whole people with a mind, body and soul. There is good reason to believe that either antibiotics are totally worthless and ineffective for the treatment of flu or other viral diseases or cold oil is thick. The claim that antibiotics are totally worthless and ineffective for the treatment of flu or other viral diseases does not reflect reality.
|
It is true that primitive societies are societies without a State.
|
The statement 'primitive societies are societies without a State' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2].
Therefore, Either [1] or [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [3] or [4].). [SC1-2]
If [1], then (Not (Either [3] or [4].).).
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [5].
If [5], then (Either [3] or [4].). [SC2-3]
Therefore, If [1], then (Either [3] or [4].)..
[SC2-3]
Modus Ponens:
If [6], then (If [5], then (Either [3] or [4].).). [SC1-4]
[6] [SC2-4]
Therefore, If [5], then (Either [3] or [4].)..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If [5], then (Either [3] or [4].).).).
If [8], then (If [6], then (If [5], then (Either [3] or [4].).).).
Therefore, If [6], then (If [5], then (Either [3] or [4].).)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or [6].
Not [9].
Therefore, [6].
|
{0: 'Primitive societies are societies without a State.', 1: 'Some animals prey on armadillos.', 2: 'Ozone is one of the greenhouse gases.', 3: 'Burrows contain tunnels.', 4: 'Humans are whole people with a mind, body and soul.', 5: 'Giraffes have a special niche in the African savanna.', 6: 'Cold oil is thick.', 7: 'Parasite drag is the drag incurred from the nonlifting portions of the aircraft.', 8: 'Socialism is a stage on the way to communism.', 9: 'Antibiotics are totally worthless and ineffective for the treatment of flu or other viral diseases.'}
| 7 |
6,316 |
['One may reasonably assume that if some people mistakenly believe that either some deer stand on roads or lead poisoning is very common during remodeling, then homologous chromosomes cross over.', 'It is a common misconception that homologous chromosomes cross over.', 'We know that at least one of two things is true: drinking water comes in bottles, or if some deer stand on roads, then the claim that some coats have heat has no merit.', "The notion that 'drinking water comes in bottles' is untrue.", 'It is a simple truth that squirrel monkeys are primates.', "Whenever it is true that squirrel monkeys are primates, 'some ecological factors affect bobcats' is true.", 'On the condition that some ecological factors affect bobcats, it is definitely the case that if seer isa someone, then zeros are part of kernels.', "On the condition that the statement that 'if if seer isa someone, then zeros are part of kernels, then if lead poisoning is very common during remodeling, then the claim that some coats have heat has no merit' is incorrect, it is definitely the case that some trunks are part of beeches.", 'We know that the claim that some trunks are part of beeches is false.']
|
One may reasonably assume that if some people mistakenly believe that either some deer stand on roads or lead poisoning is very common during remodeling, then homologous chromosomes cross over. It is a common misconception that homologous chromosomes cross over. We know that at least one of two things is true: drinking water comes in bottles, or if some deer stand on roads, then the claim that some coats have heat has no merit. The notion that 'drinking water comes in bottles' is untrue. It is a simple truth that squirrel monkeys are primates. Whenever it is true that squirrel monkeys are primates, 'some ecological factors affect bobcats' is true. On the condition that some ecological factors affect bobcats, it is definitely the case that if seer isa someone, then zeros are part of kernels. On the condition that the statement that 'if if seer isa someone, then zeros are part of kernels, then if lead poisoning is very common during remodeling, then the claim that some coats have heat has no merit' is incorrect, it is definitely the case that some trunks are part of beeches. We know that the claim that some trunks are part of beeches is false.
|
The claim that some coats have heat has no merit.
|
We can assume that some coats have heat.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [4].
Not [4].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [1], then (Not [0].).).
Not [5].
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then (Not [0].).). [SC1-2]
[3]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [3], then (If [6], then [7].). [SC1-3]
If (If [6], then [7].), then (If [2], then (Not [0].).). [SC2-3]
Therefore, If [3], then (If [2], then (Not [0].).)..
[SC1-3]
Hypothetical Syllogism:
If [3], then [9].
If [9], then (If [6], then [7].).
Therefore, If [3], then (If [6], then [7].)..
[SC2-3]
Modus Tonens:
If (Not (If (If [6], then [7].), then (If [2], then (Not [0].).).).), then [8].
Not [8].
Therefore, If (If [6], then [7].), then (If [2], then (Not [0].).)..
|
{0: 'Some coats have heat.', 1: 'Some deer stand on roads.', 2: 'Lead poisoning is very common during remodeling.', 3: 'Squirrel monkeys are primates.', 4: 'Homologous chromosomes cross over.', 5: 'Drinking water comes in bottles.', 6: 'Seer isa someone.', 7: 'Zeros are part of kernels.', 8: 'Some trunks are part of beeches.', 9: 'Some ecological factors affect bobcats.'}
| 7 |
6,587 |
["On the condition that we know that the claim that if the statement that 'plastic mulch is a clear plastic film which is placed on the soil surface' is incorrect, then some hedgehogs have structures is false, it is definitely the case that some injections contribute to multiple ovulation.", 'Provided that some injections contribute to multiple ovulation, we know that inhumanity is cruelty.', "So long as if entomology is the science of insects, but work is also carried on with rats, mice and other pests, then juvenile olives feed on crustaceans, juvenile fishes, polychaetes, octopi and squid, 'the statement that states inhumanity is cruelty is false' is true.", 'If entomology is the science of insects, but work is also carried on with rats, mice and other pests, then juvenile olives feed on crustaceans, juvenile fishes, polychaetes, octopi and squid.', "Assuming it is a common misconception that if some hedgehogs have structures, then either woody plants are terrestrial organisms or land use is a key component of the historic environment, we know that magnesium carbonate is the buffer in Wei T'o.", "The statement that states magnesium carbonate is the buffer in Wei T'o is false.", 'We know that either a chaperone is a guardian or if some hedgehogs have structures, then it is not true that either woody plants are terrestrial organisms or land use is a key component of the historic environment.', 'It is not the case that a chaperone is a guardian.']
|
On the condition that we know that the claim that if the statement that 'plastic mulch is a clear plastic film which is placed on the soil surface' is incorrect, then some hedgehogs have structures is false, it is definitely the case that some injections contribute to multiple ovulation. Provided that some injections contribute to multiple ovulation, we know that inhumanity is cruelty. So long as if entomology is the science of insects, but work is also carried on with rats, mice and other pests, then juvenile olives feed on crustaceans, juvenile fishes, polychaetes, octopi and squid, 'the statement that states inhumanity is cruelty is false' is true. If entomology is the science of insects, but work is also carried on with rats, mice and other pests, then juvenile olives feed on crustaceans, juvenile fishes, polychaetes, octopi and squid. Assuming it is a common misconception that if some hedgehogs have structures, then either woody plants are terrestrial organisms or land use is a key component of the historic environment, we know that magnesium carbonate is the buffer in Wei T'o. The statement that states magnesium carbonate is the buffer in Wei T'o is false. We know that either a chaperone is a guardian or if some hedgehogs have structures, then it is not true that either woody plants are terrestrial organisms or land use is a key component of the historic environment. It is not the case that a chaperone is a guardian.
|
plastic mulch is a clear plastic film which is placed on the soil surface.
|
Plastic mulch is a clear plastic film which is placed on the soil surface.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [9].
If [9], then [4].
Therefore, If (Not (If (Not [0].), then [1].).), then [4]..
[SC2-2]
Modus Ponens:
If (If [7], then [8].), then (Not [4].).
If [7], then [8].
Therefore, Not [4]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [2] or [3].). [SC1-2]
If [1], then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then (Either [2] or [3].).).), then [6].
Not [6].
Therefore, If [1], then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Not (Either [2] or [3].).).).
Not [5].
Therefore, If [1], then (Not (Either [2] or [3].).)..
|
{0: 'Plastic mulch is a clear plastic film which is placed on the soil surface.', 1: 'Some hedgehogs have structures.', 2: 'Woody plants are terrestrial organisms.', 3: 'Land use is a key component of the historic environment.', 4: 'Inhumanity is cruelty.', 5: 'A chaperone is a guardian.', 6: "Magnesium carbonate is the buffer in Wei T'o.", 7: 'Entomology is the science of insects, but work is also carried on with rats, mice and other pests.', 8: 'Juvenile olives feed on crustaceans, juvenile fishes, polychaetes, octopi and squid.', 9: 'Some injections contribute to multiple ovulation.'}
| 7 |
6,331 |
["When those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong is true, it follows that the statement 'chameleons are, with exception of a few species, unique to Madagascar' can be considered false.", 'Should it be the case that conjugation is the exchange of genetic information and is unrelated to reproduction, it follows that if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong.', 'Assuming it is a common misconception that if those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong, then chameleons are, with exception of a few species, unique to Madagascar, we know that economic factors play a role in relationships.', "If it is a common misconception that if those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong, then chameleons are, with exception of a few species, unique to Madagascar, then the notion that 'economic factors play a role in relationships' is untrue.", 'Assuming some people mistakenly believe that either conjugation is the exchange of genetic information and is unrelated to reproduction or meningococcal meningitis is a rare but serious disease, we know that if communications is the way to cope with less time over more distance, then most crocodiles go to water.', 'The claim that if communications is the way to cope with less time over more distance, then most crocodiles go to water does not correspond with reality.', 'At least one of two things is true: a ping is sound, or pyrethrum comes from insecticidal compounds found in African chrysanthemums.', 'Assuming a ping is sound, we know that if meningococcal meningitis is a rare but serious disease, then if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong.', 'Provided that pyrethrum comes from insecticidal compounds found in African chrysanthemums, we know that some whales enter river mouths.', 'Assuming some whales enter river mouths, we know that if meningococcal meningitis is a rare but serious disease, then if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong.']
|
When those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong is true, it follows that the statement 'chameleons are, with exception of a few species, unique to Madagascar' can be considered false. Should it be the case that conjugation is the exchange of genetic information and is unrelated to reproduction, it follows that if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong. Assuming it is a common misconception that if those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong, then chameleons are, with exception of a few species, unique to Madagascar, we know that economic factors play a role in relationships. If it is a common misconception that if those that suggest if we know that the claim that accessory cells surround the guard cells is false, then if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong, then chameleons are, with exception of a few species, unique to Madagascar, then the notion that 'economic factors play a role in relationships' is untrue. Assuming some people mistakenly believe that either conjugation is the exchange of genetic information and is unrelated to reproduction or meningococcal meningitis is a rare but serious disease, we know that if communications is the way to cope with less time over more distance, then most crocodiles go to water. The claim that if communications is the way to cope with less time over more distance, then most crocodiles go to water does not correspond with reality. At least one of two things is true: a ping is sound, or pyrethrum comes from insecticidal compounds found in African chrysanthemums. Assuming a ping is sound, we know that if meningococcal meningitis is a rare but serious disease, then if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong. Provided that pyrethrum comes from insecticidal compounds found in African chrysanthemums, we know that some whales enter river mouths. Assuming some whales enter river mouths, we know that if meningococcal meningitis is a rare but serious disease, then if we know that the claim that accessory cells surround the guard cells is false, then those that suggest if vampires can, however, build a type of immunity to sunlight depending on their age and constitution, then human reality is objective and subjective together are wrong.
|
accessory cells surround the guard cells.
|
It is not the case that accessory cells surround the guard cells.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]. [SC1-2]
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Not [5].).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).), then [8].
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).), then (Not [8].).
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Not (If [1], then [2].).).).
If [4], then (If (Not [0].), then (Not (If [1], then [2].).).). [SC3-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Either [3] or [4]..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (If (Not [0].), then (Not (If [1], then [2].).).).).
If [7], then (If [4], then (If (Not [0].), then (Not (If [1], then [2].).).).). [SC3-3]
Therefore, If [4], then (If (Not [0].), then (Not (If [1], then [2].).).)..
[SC3-3]
Hypothetical Syllogism:
If [7], then [11].
If [11], then (If [4], then (If (Not [0].), then (Not (If [1], then [2].).).).).
Therefore, If [7], then (If [4], then (If (Not [0].), then (Not (If [1], then [2].).).).)..
|
{0: 'Accessory cells surround the guard cells.', 1: 'Vampires can, however, build a type of immunity to sunlight depending on their age and constitution.', 2: 'Human reality is objective and subjective together.', 3: 'Conjugation is the exchange of genetic information and is unrelated to reproduction.', 4: 'Meningococcal meningitis is a rare but serious disease.', 5: 'Chameleons are, with exception of a few species, unique to Madagascar.', 6: 'A ping is sound.', 7: 'Pyrethrum comes from insecticidal compounds found in African chrysanthemums.', 8: 'Economic factors play a role in relationships.', 9: 'Communications is the way to cope with less time over more distance.', 10: 'Most crocodiles go to water.', 11: 'Some whales enter river mouths.'}
| 7 |
6,295 |
['It is not true that gateways are more than portals that just point to information.', "Whenever it is true that either patients experience abdominal pain or despair means life lived without significance or meaning, 'the statement that states if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences is false' is true.", 'Either bar lines are vertical lines that intersect the entire stave at regular intervals or blacks have no special rights over any other color regardless of their past history.', 'When bar lines are vertical lines that intersect the entire stave at regular intervals is true, it follows that either gateways are more than portals that just point to information or either if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences or some surveys require people to look up and provide data from records they keep.', 'Should it be the case that blacks have no special rights over any other color regardless of their past history, it follows that either gateways are more than portals that just point to information or either if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences or some surveys require people to look up and provide data from records they keep.', "When the statement, either patients experience abdominal pain or despair means life lived without significance or meaning, does not hold is true, it follows that the statement 'if farmers use pesticides to keep insects from eating crops, then mortality is measured by annual central death rates' can be considered false.", 'The claim that leafs are part of flowers does not correspond with reality.', "Either one or both of these statements are true: agriculture remains one of Egypt's most important sectors, or if the statement that 'if the statement, either patients experience abdominal pain or despair means life lived without significance or meaning, does not hold, then if farmers use pesticides to keep insects from eating crops, then mortality is measured by annual central death rates' is incorrect, then leafs are part of flowers.", "The statement that 'agriculture remains one of Egypt's most important sectors' is incorrect."]
|
It is not true that gateways are more than portals that just point to information. Whenever it is true that either patients experience abdominal pain or despair means life lived without significance or meaning, 'the statement that states if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences is false' is true. Either bar lines are vertical lines that intersect the entire stave at regular intervals or blacks have no special rights over any other color regardless of their past history. When bar lines are vertical lines that intersect the entire stave at regular intervals is true, it follows that either gateways are more than portals that just point to information or either if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences or some surveys require people to look up and provide data from records they keep. Should it be the case that blacks have no special rights over any other color regardless of their past history, it follows that either gateways are more than portals that just point to information or either if fronts are the principal cause of significant weather, then optimists look at a situation and see benefits, opportunities and learning experiences or some surveys require people to look up and provide data from records they keep. When the statement, either patients experience abdominal pain or despair means life lived without significance or meaning, does not hold is true, it follows that the statement 'if farmers use pesticides to keep insects from eating crops, then mortality is measured by annual central death rates' can be considered false. The claim that leafs are part of flowers does not correspond with reality. Either one or both of these statements are true: agriculture remains one of Egypt's most important sectors, or if the statement that 'if the statement, either patients experience abdominal pain or despair means life lived without significance or meaning, does not hold, then if farmers use pesticides to keep insects from eating crops, then mortality is measured by annual central death rates' is incorrect, then leafs are part of flowers. The statement that 'agriculture remains one of Egypt's most important sectors' is incorrect.
|
The claim that some surveys require people to look up and provide data from records they keep holds true.
|
The claim that some surveys require people to look up and provide data from records they keep does not correspond with reality.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either (If [1], then [2].) or [0].). [SC1-2]
Not [5].
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [5] or (Either (If [1], then [2].) or [0].).).
If [9], then (Either [5] or (Either (If [1], then [2].) or [0].).).
Therefore, Either [5] or (Either (If [1], then [2].) or [0].)..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (Not (If [1], then [2].).).
Either [3] or [4]. [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then (If [6], then [7].). [SC1-3]
If (Not (Either [3] or [4].).), then (Not (If [6], then [7].).).
Therefore, Either [3] or [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [3] or [4].).), then (If [6], then [7].).).), then [10]. [SC1-4]
Not [10].
Therefore, If (Not (Either [3] or [4].).), then (If [6], then [7].)..
[SC1-4]
Disjunctive Syllogism:
Either [11] or (If (Not (If (Not (Either [3] or [4].).), then (If [6], then [7].).).), then [10].).
Not [11].
Therefore, If (Not (If (Not (Either [3] or [4].).), then (If [6], then [7].).).), then [10]..
|
{0: 'Some surveys require people to look up and provide data from records they keep.', 1: 'Fronts are the principal cause of significant weather.', 2: 'Optimists look at a situation and see benefits, opportunities and learning experiences.', 3: 'Patients experience abdominal pain.', 4: 'Despair means life lived without significance or meaning.', 5: 'Gateways are more than portals that just point to information.', 6: 'Farmers use pesticides to keep insects from eating crops.', 7: 'Mortality is measured by annual central death rates.', 8: 'Bar lines are vertical lines that intersect the entire stave at regular intervals.', 9: 'Blacks have no special rights over any other color regardless of their past history.', 10: 'Leafs are part of flowers.', 11: "Agriculture remains one of Egypt's most important sectors."}
| 7 |
6,262 |
['Given that insects are the most numerous and diverse group of animals on earth, it can be inferred that either if addiction also includes nicotine, food, sweets, eating disorders and so on, then marine polychaetes live in habitats or smallpox virus has a single, stable serotype, which is the key to the success of the vaccine.', 'It is fair to say that insects are the most numerous and diverse group of animals on earth.', 'One may reasonably assume that if if addiction also includes nicotine, food, sweets, eating disorders and so on, then marine polychaetes live in habitats, then if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost.', 'plants bearing no fruit make stronger vine growth.', 'On the condition that the claim that if plants bearing no fruit make stronger vine growth, then those that suggest if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost are wrong does not reflect reality, it is definitely the case that it is not the case that some hunters kill rhinos.', 'At least one of two things is true: most anaerobic respiration requires oxygen, or if the claim that if plants bearing no fruit make stronger vine growth, then those that suggest if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost are wrong does not reflect reality, then some hunters kill rhinos.', 'Provided that most anaerobic respiration requires oxygen, we know that if many plants have rhizomes without tubers, then most chipmunks have undersides.', "So long as most anaerobic respiration requires oxygen, 'we know that the claim that if many plants have rhizomes without tubers, then most chipmunks have undersides is false' is true."]
|
Given that insects are the most numerous and diverse group of animals on earth, it can be inferred that either if addiction also includes nicotine, food, sweets, eating disorders and so on, then marine polychaetes live in habitats or smallpox virus has a single, stable serotype, which is the key to the success of the vaccine. It is fair to say that insects are the most numerous and diverse group of animals on earth. One may reasonably assume that if if addiction also includes nicotine, food, sweets, eating disorders and so on, then marine polychaetes live in habitats, then if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost. plants bearing no fruit make stronger vine growth. On the condition that the claim that if plants bearing no fruit make stronger vine growth, then those that suggest if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost are wrong does not reflect reality, it is definitely the case that it is not the case that some hunters kill rhinos. At least one of two things is true: most anaerobic respiration requires oxygen, or if the claim that if plants bearing no fruit make stronger vine growth, then those that suggest if some egg capsules offer protection, then hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost are wrong does not reflect reality, then some hunters kill rhinos. Provided that most anaerobic respiration requires oxygen, we know that if many plants have rhizomes without tubers, then most chipmunks have undersides. So long as most anaerobic respiration requires oxygen, 'we know that the claim that if many plants have rhizomes without tubers, then most chipmunks have undersides is false' is true.
|
The statement that states smallpox virus has a single, stable serotype, which is the key to the success of the vaccine is right.
|
The claim that smallpox virus has a single, stable serotype, which is the key to the success of the vaccine does not correspond with reality.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either (If [1], then [2].) or [0].).
[3]
Therefore, Either (If [1], then [2].) or [0]..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then (If [4], then [5].).
Not (If [4], then [5].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [6], then (Not (If [4], then [5].).). [SC1-3]
[6]
Therefore, Not (If [4], then [5].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]. [SC1-4]
If (Not (If [6], then (Not (If [4], then [5].).).).), then (Not [7].).
Therefore, If [6], then (Not (If [4], then [5].).)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If (Not (If [6], then (Not (If [4], then [5].).).).), then [7].).
Not [8]. [SC2-5]
Therefore, If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]..
[SC2-5]
Reductio Ad Absurdum:
If [8], then (If [9], then [10].).
If [8], then (Not (If [9], then [10].).).
Therefore, Not [8]..
|
{0: 'Smallpox virus has a single, stable serotype, which is the key to the success of the vaccine.', 1: 'Addiction also includes nicotine, food, sweets, eating disorders and so on.', 2: 'Marine polychaetes live in habitats.', 3: 'Insects are the most numerous and diverse group of animals on earth.', 4: 'Some egg capsules offer protection.', 5: 'Hypoxia accelerates the development of respiratory regulation in brine shrimp - but at a cost.', 6: 'Plants bearing no fruit make stronger vine growth.', 7: 'Some hunters kill rhinos.', 8: 'Most anaerobic respiration requires oxygen.', 9: 'Many plants have rhizomes without tubers.', 10: 'Most chipmunks have undersides.'}
| 7 |
6,432 |
['It is rational to believe that either most camels adapt to environments or if air shipping is a massive energy hog, generating five times the fuel emissions as shipping by truck, then whistles are tonal in quality, like a high musical note or a dog whistle.', "Once we know the statement 'if if air shipping is a massive energy hog, generating five times the fuel emissions as shipping by truck, then whistles are tonal in quality, like a high musical note or a dog whistle, then eternal death is the consequence of sin' can be considered false, we also know that electricity heats a wire in the absence of oxygen, causing it to glow white hot.", 'The claim that electricity heats a wire in the absence of oxygen, causing it to glow white hot does not reflect reality.', 'When hip isa body part is true, it follows that if eternal death is the consequence of sin, then it is not true that agricultural production varies widely, primarily because of erratic rainfall.', 'If most seeds germinate in locations, then if eternal death is the consequence of sin, then it is not true that agricultural production varies widely, primarily because of erratic rainfall.', 'Provided that perennial plants tend to be less contaminated than annual plants, we know that the statement, most camels adapt to environments, does not hold.', 'Many people rightly believe that perennial plants tend to be less contaminated than annual plants.', 'We know that either either plasmapheresis works quickly to increase strength or aerial mycelium is formed, and the hyphae thicken or tusks are made of ivory.', 'Once we know either plasmapheresis works quickly to increase strength or aerial mycelium is formed, and the hyphae thicken, we also know that either hip isa body part or most seeds germinate in locations.', 'Given that tusks are made of ivory, it can be inferred that either hip isa body part or most seeds germinate in locations.']
|
It is rational to believe that either most camels adapt to environments or if air shipping is a massive energy hog, generating five times the fuel emissions as shipping by truck, then whistles are tonal in quality, like a high musical note or a dog whistle. Once we know the statement 'if if air shipping is a massive energy hog, generating five times the fuel emissions as shipping by truck, then whistles are tonal in quality, like a high musical note or a dog whistle, then eternal death is the consequence of sin' can be considered false, we also know that electricity heats a wire in the absence of oxygen, causing it to glow white hot. The claim that electricity heats a wire in the absence of oxygen, causing it to glow white hot does not reflect reality. When hip isa body part is true, it follows that if eternal death is the consequence of sin, then it is not true that agricultural production varies widely, primarily because of erratic rainfall. If most seeds germinate in locations, then if eternal death is the consequence of sin, then it is not true that agricultural production varies widely, primarily because of erratic rainfall. Provided that perennial plants tend to be less contaminated than annual plants, we know that the statement, most camels adapt to environments, does not hold. Many people rightly believe that perennial plants tend to be less contaminated than annual plants. We know that either either plasmapheresis works quickly to increase strength or aerial mycelium is formed, and the hyphae thicken or tusks are made of ivory. Once we know either plasmapheresis works quickly to increase strength or aerial mycelium is formed, and the hyphae thicken, we also know that either hip isa body part or most seeds germinate in locations. Given that tusks are made of ivory, it can be inferred that either hip isa body part or most seeds germinate in locations.
|
It is not true that agricultural production varies widely, primarily because of erratic rainfall.
|
The statement 'agricultural production affects the environment in many ways' can be considered false.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [3]. [SC1-2]
If [3], then (Not [0].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (If (If [1], then [2].), then [3].).), then [5].
Not [5].
Therefore, If (If [1], then [2].), then [3]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If [3], then (Not [0].).).
If [7], then (If [3], then (Not [0].).).
Therefore, If [3], then (Not [0].)..
[SC1-3]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (Either [6] or [7].).
If [11], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].).
Not [4]. [SC2-2]
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If [8], then (Not [4].).
[8]
Therefore, Not [4]..
|
{0: 'Agricultural production varies widely, primarily because of erratic rainfall.', 1: 'Air shipping is a massive energy hog, generating five times the fuel emissions as shipping by truck.', 2: 'Whistles are tonal in quality, like a high musical note or a dog whistle.', 3: 'Eternal death is the consequence of sin.', 4: 'Most camels adapt to environments.', 5: 'Electricity heats a wire in the absence of oxygen, causing it to glow white hot.', 6: 'Hip isa body part.', 7: 'Most seeds germinate in locations.', 8: 'Perennial plants tend to be less contaminated than annual plants.', 9: 'Plasmapheresis works quickly to increase strength.', 10: 'Aerial mycelium is formed, and the hyphae thicken.', 11: 'Tusks are made of ivory.'}
| 7 |
6,862 |
['When if many scientific studies offer information regarding the learning of and application of movement, then air pressure can determine different weather conditions is true, it follows that it is a common misconception that body lice are prevalent among the homeless in industrialized regions such as Marseilles, France.', 'It is true that atoms are constantly in motion.', 'When if expository presentation is a lecture, presentation or telling strategy used during instruction, then smokers are as much victims as people making free choices is true, it follows that if atoms are constantly in motion, then fairy ring develops most frequently in soil high in organic matter such as undecomposed thatch.', 'On the condition that expository presentation is a lecture, presentation or telling strategy used during instruction, it is definitely the case that smokers are as much victims as people making free choices.', 'The statement, if bicarbonate neutralizes acid, then scripting languages allow control over things like cameras, materials, and object positions, does not hold.', 'When most charge has potential energy is true, it follows that if bicarbonate neutralizes acid, then scripting languages allow control over things like cameras, materials, and object positions.', 'Should it be the case that some people mistakenly believe that if those that suggest if fairy ring develops most frequently in soil high in organic matter such as undecomposed thatch, then if if many scientific studies offer information regarding the learning of and application of movement, then air pressure can determine different weather conditions, then body lice are prevalent among the homeless in industrialized regions such as Marseilles, France are wrong, then most charge has potential energy, it follows that stars are celestial bodies.', "The notion that 'stars are celestial bodies' is untrue."]
|
When if many scientific studies offer information regarding the learning of and application of movement, then air pressure can determine different weather conditions is true, it follows that it is a common misconception that body lice are prevalent among the homeless in industrialized regions such as Marseilles, France. It is true that atoms are constantly in motion. When if expository presentation is a lecture, presentation or telling strategy used during instruction, then smokers are as much victims as people making free choices is true, it follows that if atoms are constantly in motion, then fairy ring develops most frequently in soil high in organic matter such as undecomposed thatch. On the condition that expository presentation is a lecture, presentation or telling strategy used during instruction, it is definitely the case that smokers are as much victims as people making free choices. The statement, if bicarbonate neutralizes acid, then scripting languages allow control over things like cameras, materials, and object positions, does not hold. When most charge has potential energy is true, it follows that if bicarbonate neutralizes acid, then scripting languages allow control over things like cameras, materials, and object positions. Should it be the case that some people mistakenly believe that if those that suggest if fairy ring develops most frequently in soil high in organic matter such as undecomposed thatch, then if if many scientific studies offer information regarding the learning of and application of movement, then air pressure can determine different weather conditions, then body lice are prevalent among the homeless in industrialized regions such as Marseilles, France are wrong, then most charge has potential energy, it follows that stars are celestial bodies. The notion that 'stars are celestial bodies' is untrue.
|
The claim that if many scientific studies offer information regarding the learning of and application of movement, then air pressure can determine different weather conditions is false.
|
The statement that states scientific study means using the scientific method, which is discussed below is false.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Ponens:
If [3], then (If (If [0], then [1].), then [2].). [SC1-2]
[3]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [4]. [SC1-3]
If [4], then (If (If [0], then [1].), then [2].). [SC2-3]
Therefore, If [3], then (If (If [0], then [1].), then [2].)..
[SC1-3]
Modus Ponens:
If (If [5], then [6].), then (If [3], then [4].).
If [5], then [6].
Therefore, If [3], then [4]..
[SC2-3]
Modus Tonens:
If (Not (If [4], then (If (If [0], then [1].), then [2].).).), then (If [7], then [8].). [SC1-4]
Not (If [7], then [8].).
Therefore, If [4], then (If (If [0], then [1].), then [2].)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [4], then (If (If [0], then [1].), then [2].).).), then [9]. [SC1-5]
If [9], then (If [7], then [8].).
Therefore, If (Not (If [4], then (If (If [0], then [1].), then [2].).).), then (If [7], then [8].)..
[SC1-5]
Modus Tonens:
If (Not (If (Not (If [4], then (If (If [0], then [1].), then [2].).).), then [9].).), then [10].
Not [10].
Therefore, If (Not (If [4], then (If (If [0], then [1].), then [2].).).), then [9]..
|
{0: 'Many scientific studies offer information regarding the learning of and application of movement.', 1: 'Air pressure can determine different weather conditions.', 2: 'Body lice are prevalent among the homeless in industrialized regions such as Marseilles, France.', 3: 'Atoms are constantly in motion.', 4: 'Fairy ring develops most frequently in soil high in organic matter such as undecomposed thatch.', 5: 'Expository presentation is a lecture, presentation or telling strategy used during instruction.', 6: 'Smokers are as much victims as people making free choices.', 7: 'Bicarbonate neutralizes acid.', 8: 'Scripting languages allow control over things like cameras, materials, and object positions.', 9: 'Most charge has potential energy.', 10: 'Stars are celestial bodies.'}
| 7 |
6,582 |
['There is good reason to believe that either if synthetic oils provide the extra protection during hot engine conditions, then cats can develop a form of lymphoma in the nose or most nutrients consist of vitamins.', 'Provided that most nutrients consist of vitamins, we know that osteoporosis is a condition in which bones become porous and fragile.', 'If if nuclear war is war, then scientists talk about eras like the Mesozoic era, when dinosaurs lived on the Earth, then if if synthetic oils provide the extra protection during hot engine conditions, then cats can develop a form of lymphoma in the nose, then if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws.', 'Once we know nuclear war is war, we also know that scientists talk about eras like the Mesozoic era, when dinosaurs lived on the Earth.', 'Assuming frogs start laying their spawn, birds build nests and lay their eggs, we know that osteoporosis is a condition in which bones become porous and fragile.', 'It is a fact that either therapy is about working through past issues and healing or clarions are brass.', 'One may reasonably assume that if clarions are brass, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs.', 'It is rational to believe that either animal studies contribute to the basic understanding of how all living organisms function or either hush puppies are a local cuisine tradition as well as a standard of quality measurement or classification is a basic tool used by resource managers.', 'Should it be the case that either hush puppies are a local cuisine tradition as well as a standard of quality measurement or classification is a basic tool used by resource managers, it follows that if therapy is about working through past issues and healing, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs.', "Whenever it is true that some people mistakenly believe that if animal studies contribute to the basic understanding of how all living organisms function, then if therapy is about working through past issues and healing, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs, 'days gradually become longer, as the position of the sun climbs in the sky' is true.", 'It is a common misconception that days gradually become longer, as the position of the sun climbs in the sky.']
|
There is good reason to believe that either if synthetic oils provide the extra protection during hot engine conditions, then cats can develop a form of lymphoma in the nose or most nutrients consist of vitamins. Provided that most nutrients consist of vitamins, we know that osteoporosis is a condition in which bones become porous and fragile. If if nuclear war is war, then scientists talk about eras like the Mesozoic era, when dinosaurs lived on the Earth, then if if synthetic oils provide the extra protection during hot engine conditions, then cats can develop a form of lymphoma in the nose, then if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws. Once we know nuclear war is war, we also know that scientists talk about eras like the Mesozoic era, when dinosaurs lived on the Earth. Assuming frogs start laying their spawn, birds build nests and lay their eggs, we know that osteoporosis is a condition in which bones become porous and fragile. It is a fact that either therapy is about working through past issues and healing or clarions are brass. One may reasonably assume that if clarions are brass, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs. It is rational to believe that either animal studies contribute to the basic understanding of how all living organisms function or either hush puppies are a local cuisine tradition as well as a standard of quality measurement or classification is a basic tool used by resource managers. Should it be the case that either hush puppies are a local cuisine tradition as well as a standard of quality measurement or classification is a basic tool used by resource managers, it follows that if therapy is about working through past issues and healing, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs. Whenever it is true that some people mistakenly believe that if animal studies contribute to the basic understanding of how all living organisms function, then if therapy is about working through past issues and healing, then if if many species live as mated pairs and have territories while others school in large numbers, then most bobcats rely on sharp claws, then frogs start laying their spawn, birds build nests and lay their eggs, 'days gradually become longer, as the position of the sun climbs in the sky' is true. It is a common misconception that days gradually become longer, as the position of the sun climbs in the sky.
|
It is fair to say that osteoporosis is a condition in which bones become porous and fragile.
|
Osteoporosis is a common problem faced by the old.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then (If [4], then [5].). [SC1-2]
If (If [4], then [5].), then [0]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Ponens:
If (If [6], then [7].), then (If (If [1], then [2].), then (If [4], then [5].).).
If [6], then [7].
Therefore, If (If [1], then [2].), then (If [4], then [5].)..
[SC2-2]
Hypothetical Syllogism:
If (If [4], then [5].), then [8]. [SC1-3]
If [8], then [0].
Therefore, If (If [4], then [5].), then [0]..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [4], then [5].), then [8].). [SC2-4]
If [10], then (If (If [4], then [5].), then [8].).
Therefore, If (If [4], then [5].), then [8]..
[SC2-4]
Disjunction Elimination:
Either [11] or (Either [12] or [13].).
If [11], then (If [9], then (If (If [4], then [5].), then [8].).). [SC2-5]
If (Either [12] or [13].), then (If [9], then (If (If [4], then [5].), then [8].).).
Therefore, If [9], then (If (If [4], then [5].), then [8].)..
[SC2-5]
Modus Tonens:
If (Not (If [11], then (If [9], then (If (If [4], then [5].), then [8].).).).), then [14].
Not [14].
Therefore, If [11], then (If [9], then (If (If [4], then [5].), then [8].).)..
|
{0: 'Osteoporosis is a condition in which bones become porous and fragile.', 1: 'Synthetic oils provide the extra protection during hot engine conditions.', 2: 'Cats can develop a form of lymphoma in the nose.', 3: 'Most nutrients consist of vitamins.', 4: 'Many species live as mated pairs and have territories while others school in large numbers.', 5: 'Most bobcats rely on sharp claws.', 6: 'Nuclear war is war.', 7: 'Scientists talk about eras like the Mesozoic era, when dinosaurs lived on the Earth.', 8: 'Frogs start laying their spawn, birds build nests and lay their eggs.', 9: 'Therapy is about working through past issues and healing.', 10: 'Clarions are brass.', 11: 'Animal studies contribute to the basic understanding of how all living organisms function.', 12: 'Hush puppies are a local cuisine tradition as well as a standard of quality measurement.', 13: 'Classification is a basic tool used by resource managers.', 14: 'Days gradually become longer, as the position of the sun climbs in the sky.'}
| 7 |
6,272 |
['If either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then mosquitoes are most active at sunrise and sunset.', 'It is a common misconception that most Daphnes are three or four feet high, or so.', 'There is good reason to believe that either either most erosion is caused by deforestation or emotional states are always impetus for action, meant to be physically expressed or sutures are seams.', "Provided that either most erosion is caused by deforestation or emotional states are always impetus for action, meant to be physically expressed, we know that if hackers are terrorists, then if the statement that 'if either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then those that suggest mosquitoes are most active at sunrise and sunset are wrong' is incorrect, then biblical theism agrees with the postmodern conviction that everyone is prone to bias.", "When sutures are seams is true, it follows that if hackers are terrorists, then if the statement that 'if either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then those that suggest mosquitoes are most active at sunrise and sunset are wrong' is incorrect, then biblical theism agrees with the postmodern conviction that everyone is prone to bias.", 'On the condition that the claim that hackers are terrorists does not reflect reality, it is definitely the case that antacids work by neutralizing excess acid in the stomach.', 'Should it be the case that the claim that hackers are terrorists does not reflect reality, it follows that the claim that antacids work by neutralizing excess acid in the stomach does not reflect reality.', 'One may reasonably assume that if the claim that if biblical theism agrees with the postmodern conviction that everyone is prone to bias, then most Daphnes are three or four feet high, or so has no merit, then regents have (part) legs.', 'One may reasonably assume that if the claim that if biblical theism agrees with the postmodern conviction that everyone is prone to bias, then most Daphnes are three or four feet high, or so has no merit, then the claim that regents have (part) legs does not correspond with reality.']
|
If either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then mosquitoes are most active at sunrise and sunset. It is a common misconception that most Daphnes are three or four feet high, or so. There is good reason to believe that either either most erosion is caused by deforestation or emotional states are always impetus for action, meant to be physically expressed or sutures are seams. Provided that either most erosion is caused by deforestation or emotional states are always impetus for action, meant to be physically expressed, we know that if hackers are terrorists, then if the statement that 'if either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then those that suggest mosquitoes are most active at sunrise and sunset are wrong' is incorrect, then biblical theism agrees with the postmodern conviction that everyone is prone to bias. When sutures are seams is true, it follows that if hackers are terrorists, then if the statement that 'if either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection, then those that suggest mosquitoes are most active at sunrise and sunset are wrong' is incorrect, then biblical theism agrees with the postmodern conviction that everyone is prone to bias. On the condition that the claim that hackers are terrorists does not reflect reality, it is definitely the case that antacids work by neutralizing excess acid in the stomach. Should it be the case that the claim that hackers are terrorists does not reflect reality, it follows that the claim that antacids work by neutralizing excess acid in the stomach does not reflect reality. One may reasonably assume that if the claim that if biblical theism agrees with the postmodern conviction that everyone is prone to bias, then most Daphnes are three or four feet high, or so has no merit, then regents have (part) legs. One may reasonably assume that if the claim that if biblical theism agrees with the postmodern conviction that everyone is prone to bias, then most Daphnes are three or four feet high, or so has no merit, then the claim that regents have (part) legs does not correspond with reality.
|
The statement 'either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection' can be considered false.
|
The statement 'either mapping is a particular style of note-taking where a tree is built around a central concept or creativity means freedom, it means risk, it means reflection' can be considered false.
|
TRUE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2].
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Modus Tonens:
If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].). [SC1-3]
[4] [SC2-3]
Therefore, If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3]..
[SC1-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [4], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].).).
If [9], then (If [4], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].).).
Therefore, If [4], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [4].), then [10].
If (Not [4].), then (Not [10].).
Therefore, [4].
[SC2-2]
Modus Tonens:
If [3], then [5]. [SC1-3]
Not [5].
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [5].).), then [6].
If (Not (If [3], then [5].).), then (Not [6].).
Therefore, If [3], then [5]..
|
{0: 'Mapping is a particular style of note-taking where a tree is built around a central concept.', 1: 'Creativity means freedom, it means risk, it means reflection.', 2: 'Mosquitoes are most active at sunrise and sunset.', 3: 'Biblical theism agrees with the postmodern conviction that everyone is prone to bias.', 4: 'Hackers are terrorists.', 5: 'Most Daphnes are three or four feet high, or so.', 6: 'Regents have (part) legs.', 7: 'Most erosion is caused by deforestation.', 8: 'Emotional states are always impetus for action, meant to be physically expressed.', 9: 'Sutures are seams.', 10: 'Antacids work by neutralizing excess acid in the stomach.'}
| 7 |
6,270 |
['Assuming the statement that states if clouds form in the atmosphere because air containing water vapor rises, cools, and condenses, then locksmiths frequently go into business for themselves as a means of advancement is false, we know that dolphins eat food.', 'Should it be the case that the statement that states if clouds form in the atmosphere because air containing water vapor rises, cools, and condenses, then locksmiths frequently go into business for themselves as a means of advancement is false, it follows that the statement, dolphins eat food, does not hold.', 'One may reasonably assume that if locksmiths frequently go into business for themselves as a means of advancement, then cryptography is a long way from where the real security problem is.', 'Should it be the case that cryptography is a long way from where the real security problem is, it follows that we know that the claim that prednisone often causes stomach upset as well as gastric or duodenal ulcers is false.', 'Should it be the case that large earthquakes strike regions, it follows that either theologians recognize the necessity of divine grace and perfection or clouds form in the atmosphere because air containing water vapor rises, cools, and condenses.', "The statement 'large earthquakes strike regions' can be considered true.", 'At least one of two things is true: if common arachnids are the spider, scorpions, ticks and mites, then roadrunners build their nests low in trees or in shrubs, or we know that the claim that theologians recognize the necessity of divine grace and perfection is false.', 'The statement that states if common arachnids are the spider, scorpions, ticks and mites, then roadrunners build their nests low in trees or in shrubs is false.']
|
Assuming the statement that states if clouds form in the atmosphere because air containing water vapor rises, cools, and condenses, then locksmiths frequently go into business for themselves as a means of advancement is false, we know that dolphins eat food. Should it be the case that the statement that states if clouds form in the atmosphere because air containing water vapor rises, cools, and condenses, then locksmiths frequently go into business for themselves as a means of advancement is false, it follows that the statement, dolphins eat food, does not hold. One may reasonably assume that if locksmiths frequently go into business for themselves as a means of advancement, then cryptography is a long way from where the real security problem is. Should it be the case that cryptography is a long way from where the real security problem is, it follows that we know that the claim that prednisone often causes stomach upset as well as gastric or duodenal ulcers is false. Should it be the case that large earthquakes strike regions, it follows that either theologians recognize the necessity of divine grace and perfection or clouds form in the atmosphere because air containing water vapor rises, cools, and condenses. The statement 'large earthquakes strike regions' can be considered true. At least one of two things is true: if common arachnids are the spider, scorpions, ticks and mites, then roadrunners build their nests low in trees or in shrubs, or we know that the claim that theologians recognize the necessity of divine grace and perfection is false. The statement that states if common arachnids are the spider, scorpions, ticks and mites, then roadrunners build their nests low in trees or in shrubs is false.
|
We know that the claim that prednisone often causes stomach upset as well as gastric or duodenal ulcers is false.
|
Many people rightly believe that prednisone often causes stomach upset as well as gastric or duodenal ulcers.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [8].
If (Not (If [1], then [2].).), then (Not [8].).
Therefore, If [1], then [2]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Not [0].).
Therefore, If [2], then (Not [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1]. [SC1-2]
Not [3]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [7], then (Either [3] or [1].).
[7]
Therefore, Either [3] or [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [3].).
Not (If [5], then [6].).
Therefore, Not [3]..
|
{0: 'Prednisone often causes stomach upset as well as gastric or duodenal ulcers.', 1: 'Clouds form in the atmosphere because air containing water vapor rises, cools, and condenses.', 2: 'Locksmiths frequently go into business for themselves as a means of advancement.', 3: 'Theologians recognize the necessity of divine grace and perfection.', 4: 'Cryptography is a long way from where the real security problem is.', 5: 'Common arachnids are the spider, scorpions, ticks and mites.', 6: 'Roadrunners build their nests low in trees or in shrubs.', 7: 'Large earthquakes strike regions.', 8: 'Dolphins eat food.'}
| 7 |
6,987 |
['Should it be the case that it is not the case that bakeries have (part) sections, it follows that sexual reproduction takes more time, but creates new organisms with a variety of characteristics.', "So long as if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures, 'either r is length or some animals eat slugs' is true.", 'The claim that either r is length or some animals eat slugs is false.', 'Many people rightly believe that goats have quick short tempers.', 'Should it be the case that america has (part) Connecticut, it follows that many people believe that mentally ill people are prone to violence.', 'On the condition that america has (part) Connecticut, it is definitely the case that the claim that many people believe that mentally ill people are prone to violence is false.', 'It is rational to believe that either communication technology is a fast flowing river moving through a windy thunderstorm or either epilepsy can strike anyone at any age or air has high humidity.', "When communication technology is a fast flowing river moving through a windy thunderstorm is true, it follows that if goats have quick short tempers, then if the statement that 'either if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures or if it is not the case that bakeries have (part) sections, then those that suggest sexual reproduction takes more time, but creates new organisms with a variety of characteristics are wrong' is incorrect, then america has (part) Connecticut.", "Provided that either epilepsy can strike anyone at any age or air has high humidity, we know that if goats have quick short tempers, then if the statement that 'either if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures or if it is not the case that bakeries have (part) sections, then those that suggest sexual reproduction takes more time, but creates new organisms with a variety of characteristics are wrong' is incorrect, then america has (part) Connecticut."]
|
Should it be the case that it is not the case that bakeries have (part) sections, it follows that sexual reproduction takes more time, but creates new organisms with a variety of characteristics. So long as if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures, 'either r is length or some animals eat slugs' is true. The claim that either r is length or some animals eat slugs is false. Many people rightly believe that goats have quick short tempers. Should it be the case that america has (part) Connecticut, it follows that many people believe that mentally ill people are prone to violence. On the condition that america has (part) Connecticut, it is definitely the case that the claim that many people believe that mentally ill people are prone to violence is false. It is rational to believe that either communication technology is a fast flowing river moving through a windy thunderstorm or either epilepsy can strike anyone at any age or air has high humidity. When communication technology is a fast flowing river moving through a windy thunderstorm is true, it follows that if goats have quick short tempers, then if the statement that 'either if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures or if it is not the case that bakeries have (part) sections, then those that suggest sexual reproduction takes more time, but creates new organisms with a variety of characteristics are wrong' is incorrect, then america has (part) Connecticut. Provided that either epilepsy can strike anyone at any age or air has high humidity, we know that if goats have quick short tempers, then if the statement that 'either if apples range in color from lemony yellow to bright yellow-green to crimson red, then many synthetic fluids offer greater thermal stability at high temperatures or if it is not the case that bakeries have (part) sections, then those that suggest sexual reproduction takes more time, but creates new organisms with a variety of characteristics are wrong' is incorrect, then america has (part) Connecticut.
|
The statement 'bakeries have (part) sections' can be considered true.
|
The statement, bakeries have (part) sections, does not hold.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6].). [SC1-4]
[8]
Therefore, If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6]..
[SC1-4]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [8], then (If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6].).).
If (Either [10] or [11].), then (If [8], then (If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6].).).
Therefore, If [8], then (If (Not (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).), then [6].)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, Not (If [2], then [3].)..
|
{0: 'Bakeries have (part) sections.', 1: 'Sexual reproduction takes more time, but creates new organisms with a variety of characteristics.', 2: 'Apples range in color from lemony yellow to bright yellow-green to crimson red.', 3: 'Many synthetic fluids offer greater thermal stability at high temperatures.', 4: 'R is length.', 5: 'Some animals eat slugs.', 6: 'America has (part) Connecticut.', 7: 'Many people believe that mentally ill people are prone to violence.', 8: 'Goats have quick short tempers.', 9: 'Communication technology is a fast flowing river moving through a windy thunderstorm.', 10: 'Epilepsy can strike anyone at any age.', 11: 'Air has high humidity.'}
| 7 |
6,319 |
['It is a fact that either female birds are often less colorful or if spatial biases are a general problem of radar-rainfall estimates, then environmental temperature has a great effect on their lifespan.', 'Given that female birds are often less colorful, it can be inferred that if it is not the case that if the claim that facial fracture refers to any injury that results in a broken bone or bones of the face has no merit, then some people are very concerned about privacy with regard to genealogy data, then circles are always perfectly circular.', 'Assuming if spatial biases are a general problem of radar-rainfall estimates, then environmental temperature has a great effect on their lifespan, we know that if it is not the case that if the claim that facial fracture refers to any injury that results in a broken bone or bones of the face has no merit, then some people are very concerned about privacy with regard to genealogy data, then circles are always perfectly circular.', "There is good reason to believe that either excess urea is part of the cause of gouty arthritis or if language is the key to a person's culture and culture is the very essence of a person's identity, then photosynthesis is impossible without light.", 'Assuming excess urea is part of the cause of gouty arthritis, we know that the claim that circles are always perfectly circular does not reflect reality.', "When if language is the key to a person's culture and culture is the very essence of a person's identity, then photosynthesis is impossible without light is true, it follows that the claim that circles are always perfectly circular does not reflect reality.", "So long as recovery is a lifelong commitment that necessitates major lifestyle changes, 'if some people are very concerned about privacy with regard to genealogy data, then some birds nest near protective insects or animals to reduce their risks of predation' is true.", 'The statement that states recovery is a lifelong commitment that necessitates major lifestyle changes is right.', "Whenever it is true that the statement 'if some people are very concerned about privacy with regard to genealogy data, then the claim that some birds nest near protective insects or animals to reduce their risks of predation does not correspond with reality' can be considered false, 'exercise increases circulation and improves muscle tone and strength' is true.", 'It is not true that exercise increases circulation and improves muscle tone and strength.']
|
It is a fact that either female birds are often less colorful or if spatial biases are a general problem of radar-rainfall estimates, then environmental temperature has a great effect on their lifespan. Given that female birds are often less colorful, it can be inferred that if it is not the case that if the claim that facial fracture refers to any injury that results in a broken bone or bones of the face has no merit, then some people are very concerned about privacy with regard to genealogy data, then circles are always perfectly circular. Assuming if spatial biases are a general problem of radar-rainfall estimates, then environmental temperature has a great effect on their lifespan, we know that if it is not the case that if the claim that facial fracture refers to any injury that results in a broken bone or bones of the face has no merit, then some people are very concerned about privacy with regard to genealogy data, then circles are always perfectly circular. There is good reason to believe that either excess urea is part of the cause of gouty arthritis or if language is the key to a person's culture and culture is the very essence of a person's identity, then photosynthesis is impossible without light. Assuming excess urea is part of the cause of gouty arthritis, we know that the claim that circles are always perfectly circular does not reflect reality. When if language is the key to a person's culture and culture is the very essence of a person's identity, then photosynthesis is impossible without light is true, it follows that the claim that circles are always perfectly circular does not reflect reality. So long as recovery is a lifelong commitment that necessitates major lifestyle changes, 'if some people are very concerned about privacy with regard to genealogy data, then some birds nest near protective insects or animals to reduce their risks of predation' is true. The statement that states recovery is a lifelong commitment that necessitates major lifestyle changes is right. Whenever it is true that the statement 'if some people are very concerned about privacy with regard to genealogy data, then the claim that some birds nest near protective insects or animals to reduce their risks of predation does not correspond with reality' can be considered false, 'exercise increases circulation and improves muscle tone and strength' is true. It is not true that exercise increases circulation and improves muscle tone and strength.
|
It is rational to agree that facial fracture refers to any injury that results in a broken bone or bones of the face.
|
It is rational to agree that facial fracture refers to any injury that results in a broken bone or bones of the face.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If (Not (If (Not [0].), then [1].).), then [2].).
If (If [6], then [7].), then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (Not [2].).
If (If [9], then [10].), then (Not [2].).
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [11], then (If [1], then [3].).
[11]
Therefore, If [1], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not [3].).).), then [4].
Not [4].
Therefore, If [1], then (Not [3].)..
|
{0: 'Facial fracture refers to any injury that results in a broken bone or bones of the face.', 1: 'Some people are very concerned about privacy with regard to genealogy data.', 2: 'Circles are always perfectly circular.', 3: 'Some birds nest near protective insects or animals to reduce their risks of predation.', 4: 'Exercise increases circulation and improves muscle tone and strength.', 5: 'Female birds are often less colorful.', 6: 'Spatial biases are a general problem of radar-rainfall estimates.', 7: 'Environmental temperature has a great effect on their lifespan.', 8: 'Excess urea is part of the cause of gouty arthritis.', 9: "Language is the key to a person's culture and culture is the very essence of a person's identity.", 10: 'Photosynthesis is impossible without light.', 11: 'Recovery is a lifelong commitment that necessitates major lifestyle changes.'}
| 7 |
6,569 |
['Assuming the claim that either modern stoves gain efficiency from their ability to control combustion air or religion is natural to human beings does not reflect reality, we know that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins.', 'Once we know modern stoves gain efficiency from their ability to control combustion air, we also know that industrial batik is a complex process.', "The statement 'industrial batik is a complex process' can be considered false.", "So long as the claim that either modern stoves gain efficiency from their ability to control combustion air or religion is natural to human beings does not reflect reality, 'stem cells are very young blood cells that can repopulate depleted bone marrow' is true.", "Whenever it is true that it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, 'the claim that some birds find homes does not correspond with reality' is true.", 'At least one of two things is true: african history is written using many different sources and methods, or trash receptacles are located in parks.', 'Provided that trash receptacles are located in parks, we know that if it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, then some birds find homes.', "So long as the claim that if african history is written using many different sources and methods, then if it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, then some birds find homes has no merit, 'food affects people' is true.", 'The statement that states food affects people is false.']
|
Assuming the claim that either modern stoves gain efficiency from their ability to control combustion air or religion is natural to human beings does not reflect reality, we know that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins. Once we know modern stoves gain efficiency from their ability to control combustion air, we also know that industrial batik is a complex process. The statement 'industrial batik is a complex process' can be considered false. So long as the claim that either modern stoves gain efficiency from their ability to control combustion air or religion is natural to human beings does not reflect reality, 'stem cells are very young blood cells that can repopulate depleted bone marrow' is true. Whenever it is true that it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, 'the claim that some birds find homes does not correspond with reality' is true. At least one of two things is true: african history is written using many different sources and methods, or trash receptacles are located in parks. Provided that trash receptacles are located in parks, we know that if it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, then some birds find homes. So long as the claim that if african history is written using many different sources and methods, then if it is not the case that if stem cells are very young blood cells that can repopulate depleted bone marrow, then it is a common misconception that fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins, then some birds find homes has no merit, 'food affects people' is true. The statement that states food affects people is false.
|
The claim that religion is natural to human beings is true.
|
The claim that religion is natural to human beings is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [2].
If (Not (Either [1] or [0].).), then (Not [2].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Hypothetical Syllogism:
If (Not (Either [1] or [0].).), then [4].
If [4], then (Not [2].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then (Not [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [2].).).), then [5]. [SC1-4]
If (Not (If [4], then (Not [2].).).), then (Not [5].).
Therefore, If [4], then (Not [2].)..
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [4], then (Not [2].).).), then [5].). [SC2-5]
If [7], then (If (Not (If [4], then (Not [2].).).), then [5].).
Therefore, If (Not (If [4], then (Not [2].).).), then [5]..
[SC2-5]
Modus Tonens:
If (Not (If [6], then (If (Not (If [4], then (Not [2].).).), then [5].).).), then [8].
Not [8].
Therefore, If [6], then (If (Not (If [4], then (Not [2].).).), then [5].)..
[SC2-1]
Modus Tonens:
If [1], then [3].
Not [3].
Therefore, Not [1]..
|
{0: 'Religion is natural to human beings.', 1: 'Modern stoves gain efficiency from their ability to control combustion air.', 2: 'Fats help the absorption of fat-soluble vitamins, such as vitamin A and B vitamins.', 3: 'Industrial batik is a complex process.', 4: 'Stem cells are very young blood cells that can repopulate depleted bone marrow.', 5: 'Some birds find homes.', 6: 'African history is written using many different sources and methods.', 7: 'Trash receptacles are located in parks.', 8: 'Food affects people.'}
| 7 |
6,643 |
['At least one of two things is true: if communication is the exchange of meaning, then dispersion is poorest at night and, for a given wind speed, decreases as cloud cover decreases, or cholesterol is a type of fat or lipid produced by the body.', "Given that dies are motivated by the goal of olds, it can be inferred that the statement that 'if communication is the exchange of meaning, then dispersion is poorest at night and, for a given wind speed, decreases as cloud cover decreases' is incorrect.", "One may reasonably assume that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then some parents abandon their children.", "So long as it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, 'if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment' is true.", 'It is rational to believe that either either observations lead to estimations or worldliness promises to bring joy and fulfillment or cannabis belongs to no government or private entity.', "Provided that either observations lead to estimations or worldliness promises to bring joy and fulfillment, we know that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then the claim that some parents abandon their children has no merit.", "Assuming cannabis belongs to no government or private entity, we know that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then the claim that some parents abandon their children has no merit.", 'On the condition that it is not the case that if it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, then it is a common misconception that if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment, it is definitely the case that all snakes are susceptible to thermal burns.', "Whenever it is true that it is not the case that if it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, then it is a common misconception that if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment, 'some people mistakenly believe that all snakes are susceptible to thermal burns' is true."]
|
At least one of two things is true: if communication is the exchange of meaning, then dispersion is poorest at night and, for a given wind speed, decreases as cloud cover decreases, or cholesterol is a type of fat or lipid produced by the body. Given that dies are motivated by the goal of olds, it can be inferred that the statement that 'if communication is the exchange of meaning, then dispersion is poorest at night and, for a given wind speed, decreases as cloud cover decreases' is incorrect. One may reasonably assume that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then some parents abandon their children. So long as it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, 'if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment' is true. It is rational to believe that either either observations lead to estimations or worldliness promises to bring joy and fulfillment or cannabis belongs to no government or private entity. Provided that either observations lead to estimations or worldliness promises to bring joy and fulfillment, we know that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then the claim that some parents abandon their children has no merit. Assuming cannabis belongs to no government or private entity, we know that if the statement 'if it is a common misconception that dies are motivated by the goal of olds, then either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia' can be considered false, then the claim that some parents abandon their children has no merit. On the condition that it is not the case that if it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, then it is a common misconception that if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment, it is definitely the case that all snakes are susceptible to thermal burns. Whenever it is true that it is not the case that if it is not the case that if it is a common misconception that dies are motivated by the goal of olds, then the statement, either some mammals are herbivorous , which means they only eat plants or salt marshes occur extensively in South Carolina and Georgia, does not hold, then it is a common misconception that if some people suggest that goose populations are damaging ecosystems, then many cyclical industries produce durable goods such as raw materials and heavy equipment, 'some people mistakenly believe that all snakes are susceptible to thermal burns' is true.
|
It is the case that cholesterol is a type of fat or lipid produced by the body.
|
Cholesterol is also vitally important for several of the normal processes in the body.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [3], then (Not (If [1], then [2].).).
[3] [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then (Either [4] or [5].). [SC1-3]
If (Not [3].), then (Not (Either [4] or [5].).). [SC2-3]
Therefore, [3].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then (Either [4] or [5].).).), then [6].
If (Not (If (Not [3].), then (Either [4] or [5].).).), then (Not [6].). [SC2-4]
Therefore, If (Not [3].), then (Either [4] or [5].)..
[SC2-4]
Disjunction Elimination:
Either (Either [10] or [11].) or [12].
If (Either [10] or [11].), then (If (Not (If (Not [3].), then (Either [4] or [5].).).), then (Not [6].).).
If [12], then (If (Not (If (Not [3].), then (Either [4] or [5].).).), then (Not [6].).).
Therefore, If (Not (If (Not [3].), then (Either [4] or [5].).).), then (Not [6].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then (Not (Either [4] or [5].).).).), then (If [7], then [8].).
If (Not (If (Not [3].), then (Not (Either [4] or [5].).).).), then (Not (If [7], then [8].).). [SC2-4]
Therefore, If (Not [3].), then (Not (Either [4] or [5].).)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [3].), then (Not (Either [4] or [5].).).).), then (Not (If [7], then [8].).).).), then [9].
If (Not (If (Not (If (Not [3].), then (Not (Either [4] or [5].).).).), then (Not (If [7], then [8].).).).), then (Not [9].).
Therefore, If (Not (If (Not [3].), then (Not (Either [4] or [5].).).).), then (Not (If [7], then [8].).)..
|
{0: 'Cholesterol is a type of fat or lipid produced by the body.', 1: 'Communication is the exchange of meaning.', 2: 'Dispersion is poorest at night and, for a given wind speed, decreases as cloud cover decreases.', 3: 'Dies are motivated by the goal of olds.', 4: 'Some mammals are herbivorous , which means they only eat plants.', 5: 'Salt marshes occur extensively in South Carolina and Georgia.', 6: 'Some parents abandon their children.', 7: 'Some people suggest that goose populations are damaging ecosystems.', 8: 'Many cyclical industries produce durable goods such as raw materials and heavy equipment.', 9: 'All snakes are susceptible to thermal burns.', 10: 'Observations lead to estimations.', 11: 'Worldliness promises to bring joy and fulfillment.', 12: 'Cannabis belongs to no government or private entity.'}
| 7 |
6,142 |
['There is good reason to believe that either most typhoons strike in the autumn or people use prediction to make everyday decisions.', "Whenever it is true that people use prediction to make everyday decisions, 'either if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity or safety is a sign of efficiency' is true.", 'It is not the case that sports provide a way for parents and their kids to communicate.', 'Either ozone can lead to lung disease, decreased lung function and trigger asthma attacks or if most typhoons strike in the autumn, then either if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity or safety is a sign of efficiency.', "The notion that 'ozone can lead to lung disease, decreased lung function and trigger asthma attacks' is untrue.", 'Should it be the case that the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, it follows that we know that the claim that sodium fluoride is rapidly and almost completely absorbed from the gastrointestinal tract is false.', 'Given that proteases consist of enzymes that break down proteins, it can be inferred that sodium fluoride is rapidly and almost completely absorbed from the gastrointestinal tract.', "Whenever it is true that the claim that if the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, then proteases consist of enzymes that break down proteins does not correspond with reality, 'cancer is an example of a delayed health effect' is true.", 'Assuming the claim that if the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, then proteases consist of enzymes that break down proteins does not correspond with reality, we know that it is not the case that cancer is an example of a delayed health effect.']
|
There is good reason to believe that either most typhoons strike in the autumn or people use prediction to make everyday decisions. Whenever it is true that people use prediction to make everyday decisions, 'either if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity or safety is a sign of efficiency' is true. It is not the case that sports provide a way for parents and their kids to communicate. Either ozone can lead to lung disease, decreased lung function and trigger asthma attacks or if most typhoons strike in the autumn, then either if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity or safety is a sign of efficiency. The notion that 'ozone can lead to lung disease, decreased lung function and trigger asthma attacks' is untrue. Should it be the case that the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, it follows that we know that the claim that sodium fluoride is rapidly and almost completely absorbed from the gastrointestinal tract is false. Given that proteases consist of enzymes that break down proteins, it can be inferred that sodium fluoride is rapidly and almost completely absorbed from the gastrointestinal tract. Whenever it is true that the claim that if the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, then proteases consist of enzymes that break down proteins does not correspond with reality, 'cancer is an example of a delayed health effect' is true. Assuming the claim that if the statement, either sports provide a way for parents and their kids to communicate or the statement, if many people today see mysticism as a facet of new-age or Eastern religious thought, then most elements conduct electricity, does not hold, does not hold, then proteases consist of enzymes that break down proteins does not correspond with reality, we know that it is not the case that cancer is an example of a delayed health effect.
|
It is fair to say that safety is a sign of efficiency.
|
Safety is a shared responsibility between governments and the boating public.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either (If [1], then [2].) or [0].). [SC2-2]
If [4], then (Either (If [1], then [2].) or [0].).
Therefore, Either (If [1], then [2].) or [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [3], then (Either (If [1], then [2].) or [0].).).
Not [7].
Therefore, If [3], then (Either (If [1], then [2].) or [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not (If [1], then [2].).). [SC1-2]
Not [5].
Therefore, Not (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [5] or (Not (If [1], then [2].).).).), then [6]. [SC1-3]
If (Not (Either [5] or (Not (If [1], then [2].).).).), then (Not [6].).
Therefore, Either [5] or (Not (If [1], then [2].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [5] or (Not (If [1], then [2].).).).), then [8]. [SC1-4]
If [8], then [6].
Therefore, If (Not (Either [5] or (Not (If [1], then [2].).).).), then [6]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [5] or (Not (If [1], then [2].).).).), then [8].).), then [9].
If (Not (If (Not (Either [5] or (Not (If [1], then [2].).).).), then [8].).), then (Not [9].).
Therefore, If (Not (Either [5] or (Not (If [1], then [2].).).).), then [8]..
|
{0: 'Safety is a sign of efficiency.', 1: 'Many people today see mysticism as a facet of new-age or Eastern religious thought.', 2: 'Most elements conduct electricity.', 3: 'Most typhoons strike in the autumn.', 4: 'People use prediction to make everyday decisions.', 5: 'Sports provide a way for parents and their kids to communicate.', 6: 'Sodium fluoride is rapidly and almost completely absorbed from the gastrointestinal tract.', 7: 'Ozone can lead to lung disease, decreased lung function and trigger asthma attacks.', 8: 'Proteases consist of enzymes that break down proteins.', 9: 'Cancer is an example of a delayed health effect.'}
| 7 |
6,202 |
["So long as mountain tapirs live in mountain areas, 'either nickel compounds can be green, blue, gray, or black or decimalization affects nearly every area of the securities industry' is true.", 'It is a simple truth that opportunity cost is the a. cost incurred when one fails to take advantage of an opportunity.', 'It is rational to believe that either plants use phosphorus to flower, fruit and seed or either vertebrates have cord or armour has (part) sections.', 'Once we know plants use phosphorus to flower, fruit and seed, we also know that mountain tapirs live in mountain areas.', 'We know that at least one of two things is true: most plants produce a fibrous root system , a tap root system or a fleshy root system , or if opportunity cost is the a. cost incurred when one fails to take advantage of an opportunity, then the claim that nickel compounds can be green, blue, gray, or black is false.', 'Provided that evolution is a religion , we know that if either vertebrates have cord or armour has (part) sections, then mountain tapirs live in mountain areas.', "The statement 'evolution is a religion ' is true.", 'It is a fact that either a line of battle is a line or the claim that most plants produce a fibrous root system , a tap root system or a fleshy root system does not reflect reality.', 'We know that the claim that a line of battle is a line is false.']
|
So long as mountain tapirs live in mountain areas, 'either nickel compounds can be green, blue, gray, or black or decimalization affects nearly every area of the securities industry' is true. It is a simple truth that opportunity cost is the a. cost incurred when one fails to take advantage of an opportunity. It is rational to believe that either plants use phosphorus to flower, fruit and seed or either vertebrates have cord or armour has (part) sections. Once we know plants use phosphorus to flower, fruit and seed, we also know that mountain tapirs live in mountain areas. We know that at least one of two things is true: most plants produce a fibrous root system , a tap root system or a fleshy root system , or if opportunity cost is the a. cost incurred when one fails to take advantage of an opportunity, then the claim that nickel compounds can be green, blue, gray, or black is false. Provided that evolution is a religion , we know that if either vertebrates have cord or armour has (part) sections, then mountain tapirs live in mountain areas. The statement 'evolution is a religion ' is true. It is a fact that either a line of battle is a line or the claim that most plants produce a fibrous root system , a tap root system or a fleshy root system does not reflect reality. We know that the claim that a line of battle is a line is false.
|
The statement 'decimalization affects nearly every area of the securities industry' is true.
|
Those that suggest decimalization affects nearly every area of the securities industry are wrong.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [0].).
[3] [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then [3].
If (Either [5] or [6].), then [3]. [SC3-3]
Therefore, [3].
[SC3-3]
Modus Ponens:
If [8], then (If (Either [5] or [6].), then [3].).
[8]
Therefore, If (Either [5] or [6].), then [3]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [2], then (Not [1].).).
Not [7]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (Not [7].).
Not [9].
Therefore, Not [7]..
|
{0: 'Decimalization affects nearly every area of the securities industry.', 1: 'Nickel compounds can be green, blue, gray, or black.', 2: 'Opportunity cost is the a. cost incurred when one fails to take advantage of an opportunity.', 3: 'Mountain tapirs live in mountain areas.', 4: 'Plants use phosphorus to flower, fruit and seed.', 5: 'Vertebrates have cord.', 6: 'Armour has (part) sections.', 7: 'Most plants produce a fibrous root system , a tap root system or a fleshy root system .', 8: 'Evolution is a religion .', 9: 'A line of battle is a line.'}
| 7 |
6,413 |
['Some people mistakenly believe that sparrows eat grasshoppers.', 'One may reasonably assume that if most eagles have legs, then the claim that if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children has no merit.', "So long as it is not true that either sparrows eat grasshoppers or either if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children or intercultural awareness is developed through an exposure to the history of world civilizations, 'if every major city has theatres where American, British and Indian films are screened, then potassium is needed for muscles to function properly' is true.", 'Provided that it is not true that either sparrows eat grasshoppers or either if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children or intercultural awareness is developed through an exposure to the history of world civilizations, we know that the claim that if every major city has theatres where American, British and Indian films are screened, then potassium is needed for muscles to function properly does not correspond with reality.', 'Provided that cycles are important aspects upon which their cultures are based, we know that either stack isa pile or most eagles have legs.', 'The claim that cycles are important aspects upon which their cultures are based holds true.', "So long as metals turn black when touched by the root, 'if stack isa pile, then the claim that if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children has no merit' is true.", 'One may reasonably assume that if if estrogens also affect the release of pituitary gonadotropins, then wine is sunshine, held together by water, then metals turn black when touched by the root.', 'Given that estrogens also affect the release of pituitary gonadotropins, it can be inferred that wine is sunshine, held together by water.']
|
Some people mistakenly believe that sparrows eat grasshoppers. One may reasonably assume that if most eagles have legs, then the claim that if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children has no merit. So long as it is not true that either sparrows eat grasshoppers or either if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children or intercultural awareness is developed through an exposure to the history of world civilizations, 'if every major city has theatres where American, British and Indian films are screened, then potassium is needed for muscles to function properly' is true. Provided that it is not true that either sparrows eat grasshoppers or either if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children or intercultural awareness is developed through an exposure to the history of world civilizations, we know that the claim that if every major city has theatres where American, British and Indian films are screened, then potassium is needed for muscles to function properly does not correspond with reality. Provided that cycles are important aspects upon which their cultures are based, we know that either stack isa pile or most eagles have legs. The claim that cycles are important aspects upon which their cultures are based holds true. So long as metals turn black when touched by the root, 'if stack isa pile, then the claim that if ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans, then parents are often concerned about using steroids in children has no merit' is true. One may reasonably assume that if if estrogens also affect the release of pituitary gonadotropins, then wine is sunshine, held together by water, then metals turn black when touched by the root. Given that estrogens also affect the release of pituitary gonadotropins, it can be inferred that wine is sunshine, held together by water.
|
It is true that intercultural awareness is developed through an exposure to the history of world civilizations.
|
The statement, intercultural awareness is developed through an exposure to the history of world civilizations, does not hold.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either (If [1], then [2].) or [0].). [SC1-2]
Not [3].
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Either (If [1], then [2].) or [0].).).), then (If [7], then [8].).
If (Not (Either [3] or (Either (If [1], then [2].) or [0].).).), then (Not (If [7], then [8].).).
Therefore, Either [3] or (Either (If [1], then [2].) or [0].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not (If [1], then [2].).). [SC2-2]
If [5], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [9], then (Either [4] or [5].).
[9]
Therefore, Either [4] or [5]..
[SC2-2]
Modus Ponens:
If [6], then (If [4], then (Not (If [1], then [2].).).).
[6] [SC2-3]
Therefore, If [4], then (Not (If [1], then [2].).)..
[SC2-3]
Modus Ponens:
If (If [10], then [11].), then [6].
If [10], then [11].
Therefore, [6].
|
{0: 'Intercultural awareness is developed through an exposure to the history of world civilizations.', 1: 'Ringworm is really a type of fungus that causes a ring-shaped itchy place on the skin of humans.', 2: 'Parents are often concerned about using steroids in children.', 3: 'Sparrows eat grasshoppers.', 4: 'Stack isa pile.', 5: 'Most eagles have legs.', 6: 'Metals turn black when touched by the root.', 7: 'Every major city has theatres where American, British and Indian films are screened.', 8: 'Potassium is needed for muscles to function properly.', 9: 'Cycles are important aspects upon which their cultures are based.', 10: 'Estrogens also affect the release of pituitary gonadotropins.', 11: 'Wine is sunshine, held together by water.'}
| 7 |
6,196 |
['Should it be the case that bacterial inoculants are easy to apply and safe to handle and use, it follows that paganism is considered to be an eccentric faith in the West.', 'If gas hydrate is an ice-like substance that form under pressure when gas is trapped in water crystals, then if e is a simple, secure, distributed, pure-object, persistent programming language, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born.', 'On the condition that most evolutionary biology has concepts, it is definitely the case that if if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born.', "The statement 'most evolutionary biology has concepts' is true.", 'On the condition that the claim that if if bacterial inoculants are easy to apply and safe to handle and use, then paganism is considered to be an eccentric faith in the West, then either e is a simple, secure, distributed, pure-object, persistent programming language or if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral has no merit, it is definitely the case that most herbicides can cause eye irritation.', "Provided that the claim that if if bacterial inoculants are easy to apply and safe to handle and use, then paganism is considered to be an eccentric faith in the West, then either e is a simple, secure, distributed, pure-object, persistent programming language or if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral has no merit, we know that the notion that 'most herbicides can cause eye irritation' is untrue.", 'It is a fact that either negative feelings can follow the negative thinking, which can cause inappropriate behavior or either rapists are largely indistinguishable from the rest of the population or gas hydrate is an ice-like substance that form under pressure when gas is trapped in water crystals.', 'It is a common misconception that negative feelings can follow the negative thinking, which can cause inappropriate behavior.', "So long as some species spawn continuously throughout the spring and summer, 'if rapists are largely indistinguishable from the rest of the population, then if e is a simple, secure, distributed, pure-object, persistent programming language, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born' is true.", 'It is a simple truth that some species spawn continuously throughout the spring and summer.']
|
Should it be the case that bacterial inoculants are easy to apply and safe to handle and use, it follows that paganism is considered to be an eccentric faith in the West. If gas hydrate is an ice-like substance that form under pressure when gas is trapped in water crystals, then if e is a simple, secure, distributed, pure-object, persistent programming language, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born. On the condition that most evolutionary biology has concepts, it is definitely the case that if if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born. The statement 'most evolutionary biology has concepts' is true. On the condition that the claim that if if bacterial inoculants are easy to apply and safe to handle and use, then paganism is considered to be an eccentric faith in the West, then either e is a simple, secure, distributed, pure-object, persistent programming language or if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral has no merit, it is definitely the case that most herbicides can cause eye irritation. Provided that the claim that if if bacterial inoculants are easy to apply and safe to handle and use, then paganism is considered to be an eccentric faith in the West, then either e is a simple, secure, distributed, pure-object, persistent programming language or if rabbits Rabbits are also a symbol of fertility, then a bastnasite is a mineral has no merit, we know that the notion that 'most herbicides can cause eye irritation' is untrue. It is a fact that either negative feelings can follow the negative thinking, which can cause inappropriate behavior or either rapists are largely indistinguishable from the rest of the population or gas hydrate is an ice-like substance that form under pressure when gas is trapped in water crystals. It is a common misconception that negative feelings can follow the negative thinking, which can cause inappropriate behavior. So long as some species spawn continuously throughout the spring and summer, 'if rapists are largely indistinguishable from the rest of the population, then if e is a simple, secure, distributed, pure-object, persistent programming language, then if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born' is true. It is a simple truth that some species spawn continuously throughout the spring and summer.
|
One may reasonably assume that if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born.
|
One may reasonably assume that if stress is a mental, physical and behavioral response to a variety of stimuli, then puppies are tiny and helpless when born.
|
TRUE
|
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If (If [3], then [4].), then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (Either [2] or (If [3], then [4].).). [SC1-2]
If [5], then [6].
Therefore, Either [2] or (If [3], then [4].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (Either [2] or (If [3], then [4].).).).), then [12].
If (Not (If (If [5], then [6].), then (Either [2] or (If [3], then [4].).).).), then (Not [12].).
Therefore, If (If [5], then [6].), then (Either [2] or (If [3], then [4].).)..
[SC2-1]
Disjunction Elimination:
Either [7] or [8]. [SC1-2]
If [7], then (If [2], then (If [0], then [1].).). [SC2-2]
If [8], then (If [2], then (If [0], then [1].).).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [10] or (Either [7] or [8].).
Not [10].
Therefore, Either [7] or [8]..
[SC2-2]
Modus Ponens:
If [11], then (If [7], then (If [2], then (If [0], then [1].).).).
[11]
Therefore, If [7], then (If [2], then (If [0], then [1].).)..
[SC3-1]
Modus Ponens:
If [9], then (If (If [3], then [4].), then (If [0], then [1].).).
[9]
Therefore, If (If [3], then [4].), then (If [0], then [1].)..
|
{0: 'Stress is a mental, physical and behavioral response to a variety of stimuli.', 1: 'Puppies are tiny and helpless when born.', 2: 'E is a simple, secure, distributed, pure-object, persistent programming language.', 3: 'Rabbits Rabbits are also a symbol of fertility.', 4: 'A bastnasite is a mineral.', 5: 'Bacterial inoculants are easy to apply and safe to handle and use.', 6: 'Paganism is considered to be an eccentric faith in the West.', 7: 'Rapists are largely indistinguishable from the rest of the population.', 8: 'Gas hydrate is an ice-like substance that form under pressure when gas is trapped in water crystals.', 9: 'Most evolutionary biology has concepts.', 10: 'Negative feelings can follow the negative thinking, which can cause inappropriate behavior.', 11: 'Some species spawn continuously throughout the spring and summer.', 12: 'Most herbicides can cause eye irritation.'}
| 7 |
6,264 |
['When it is a common misconception that many laboratories have dust free cabinets for storing their sterile medium and equipment is true, it follows that either sentenceds are bands or instant coffee is also virtually free of the cholesterol-raising chemicals.', 'Some people mistakenly believe that either small plants are located in fields or viral diseases can be a serious problem for home gardeners.', 'On the condition that asexual reproduction can happen in a number of different ways in plants, it is definitely the case that if the claim that if the claim that if it is a common misconception that many laboratories have dust free cabinets for storing their sterile medium and equipment, then the statement, either sentenceds are bands or instant coffee is also virtually free of the cholesterol-raising chemicals, does not hold has no merit, then either small plants are located in fields or viral diseases can be a serious problem for home gardeners is false, then either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones.', "The statement 'asexual reproduction can happen in a number of different ways in plants' is true.", 'Given that untreated depression interferes with the ability to cope with stressors, including pain, it can be inferred that it is not true that either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones.', 'Should it be the case that the statement, either telecom is a critical element in setting agendas, and, sometimes, in maintaining governance or untreated depression interferes with the ability to cope with stressors, including pain, does not hold, it follows that magnetometers are meters.', "The statement 'magnetometers are meters' can be considered false.", 'We know that either bowheads have (part) ears or if telecom is a critical element in setting agendas, and, sometimes, in maintaining governance, then it is not true that either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones.', "The notion that 'bowheads have (part) ears' is untrue."]
|
When it is a common misconception that many laboratories have dust free cabinets for storing their sterile medium and equipment is true, it follows that either sentenceds are bands or instant coffee is also virtually free of the cholesterol-raising chemicals. Some people mistakenly believe that either small plants are located in fields or viral diseases can be a serious problem for home gardeners. On the condition that asexual reproduction can happen in a number of different ways in plants, it is definitely the case that if the claim that if the claim that if it is a common misconception that many laboratories have dust free cabinets for storing their sterile medium and equipment, then the statement, either sentenceds are bands or instant coffee is also virtually free of the cholesterol-raising chemicals, does not hold has no merit, then either small plants are located in fields or viral diseases can be a serious problem for home gardeners is false, then either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones. The statement 'asexual reproduction can happen in a number of different ways in plants' is true. Given that untreated depression interferes with the ability to cope with stressors, including pain, it can be inferred that it is not true that either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones. Should it be the case that the statement, either telecom is a critical element in setting agendas, and, sometimes, in maintaining governance or untreated depression interferes with the ability to cope with stressors, including pain, does not hold, it follows that magnetometers are meters. The statement 'magnetometers are meters' can be considered false. We know that either bowheads have (part) ears or if telecom is a critical element in setting agendas, and, sometimes, in maintaining governance, then it is not true that either circulation causes nutrients and sediments to be mixed and resuspended or cycads are gymnosperms that produce seeds most often in cones. The notion that 'bowheads have (part) ears' is untrue.
|
It is the case that many laboratories have dust free cabinets for storing their sterile medium and equipment.
|
Those that suggest many laboratories have dust free cabinets for storing their sterile medium and equipment are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Either [3] or [4].).).), then (Either [5] or [6].). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Either [3] or [4].)..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Either [3] or [4].).).), then (Either [5] or [6].).).
[7]
Therefore, If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Either [3] or [4].).).), then (Either [5] or [6].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9]. [SC1-4]
If [8], then (Not (Either [5] or [6].).). [SC2-4]
If [9], then (Not (Either [5] or [6].).).
Therefore, Not (Either [5] or [6].)..
[SC1-4]
Modus Tonens:
If (Not (Either [8] or [9].).), then [11].
Not [11].
Therefore, Either [8] or [9]..
[SC2-4]
Disjunctive Syllogism:
Either [10] or (If [8], then (Not (Either [5] or [6].).).).
Not [10].
Therefore, If [8], then (Not (Either [5] or [6].).)..
|
{0: 'Many laboratories have dust free cabinets for storing their sterile medium and equipment.', 1: 'Sentenceds are bands.', 2: 'Instant coffee is also virtually free of the cholesterol-raising chemicals.', 3: 'Small plants are located in fields.', 4: 'Viral diseases can be a serious problem for home gardeners.', 5: 'Circulation causes nutrients and sediments to be mixed and resuspended.', 6: 'Cycads are gymnosperms that produce seeds most often in cones.', 7: 'Asexual reproduction can happen in a number of different ways in plants.', 8: 'Telecom is a critical element in setting agendas, and, sometimes, in maintaining governance.', 9: 'Untreated depression interferes with the ability to cope with stressors, including pain.', 10: 'Bowheads have (part) ears.', 11: 'Magnetometers are meters.'}
| 7 |
6,531 |
['Once we know if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally, we also know that either either mission refers to the transforming of the world for justice or some people are allergic to fire ant venom or ectotherms vary markedly in their limits of freeze tolerance.', 'We know that either most diseases kill hosts or if either mission refers to the transforming of the world for justice or some people are allergic to fire ant venom, then most kidneys remove chemicals.', 'It is not true that most diseases kill hosts.', 'One may reasonably assume that if giant boas are among the slowest of snakes, then if ectotherms vary markedly in their limits of freeze tolerance, then most kidneys remove chemicals.', 'Those that suggest giant boas are among the slowest of snakes are right.', 'There is good reason to believe that either corns can be very painful and generally occur at prominences such as the little toe or participants complete questionnaires.', 'Assuming corns can be very painful and generally occur at prominences such as the little toe, we know that if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally.', 'There is good reason to believe that either areas have subtropical climates or adult males are more vagile than females and young, and they often move among groups of females.', 'Assuming adult males are more vagile than females and young, and they often move among groups of females, we know that if participants complete questionnaires, then if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally.', 'Either either drawing is a typical domain of the right brain or some eyes have white fur or if areas have subtropical climates, then if participants complete questionnaires, then if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally.', 'The statement, either drawing is a typical domain of the right brain or some eyes have white fur, does not hold.']
|
Once we know if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally, we also know that either either mission refers to the transforming of the world for justice or some people are allergic to fire ant venom or ectotherms vary markedly in their limits of freeze tolerance. We know that either most diseases kill hosts or if either mission refers to the transforming of the world for justice or some people are allergic to fire ant venom, then most kidneys remove chemicals. It is not true that most diseases kill hosts. One may reasonably assume that if giant boas are among the slowest of snakes, then if ectotherms vary markedly in their limits of freeze tolerance, then most kidneys remove chemicals. Those that suggest giant boas are among the slowest of snakes are right. There is good reason to believe that either corns can be very painful and generally occur at prominences such as the little toe or participants complete questionnaires. Assuming corns can be very painful and generally occur at prominences such as the little toe, we know that if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally. There is good reason to believe that either areas have subtropical climates or adult males are more vagile than females and young, and they often move among groups of females. Assuming adult males are more vagile than females and young, and they often move among groups of females, we know that if participants complete questionnaires, then if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally. Either either drawing is a typical domain of the right brain or some eyes have white fur or if areas have subtropical climates, then if participants complete questionnaires, then if chills are a symptom of grief, then money laundering is a way to obscure the origins of money obtained illegally. The statement, either drawing is a typical domain of the right brain or some eyes have white fur, does not hold.
|
Many people rightly believe that most kidneys remove chemicals.
|
Many people rightly believe that most kidneys remove chemicals.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (Either (Either [1] or [2].) or [3].).
If [4], then [5]. [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then [5].).
If [9], then (If [4], then [5].). [SC3-3]
Therefore, If [4], then [5]..
[SC3-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [9], then (If [4], then [5].).). [SC2-4]
If [11], then (If [9], then (If [4], then [5].).).
Therefore, If [9], then (If [4], then [5].)..
[SC2-4]
Disjunctive Syllogism:
Either (Either [12] or [13].) or (If [10], then (If [9], then (If [4], then [5].).).).
Not (Either [12] or [13].).
Therefore, If [10], then (If [9], then (If [4], then [5].).)..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If (Either [1] or [2].), then [0].).
Not [6].
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Modus Ponens:
If [7], then (If [3], then [0].).
[7]
Therefore, If [3], then [0]..
|
{0: 'Most kidneys remove chemicals.', 1: 'Mission refers to the transforming of the world for justice.', 2: 'Some people are allergic to fire ant venom.', 3: 'Ectotherms vary markedly in their limits of freeze tolerance.', 4: 'Chills are a symptom of grief.', 5: 'Money laundering is a way to obscure the origins of money obtained illegally.', 6: 'Most diseases kill hosts.', 7: 'Giant boas are among the slowest of snakes.', 8: 'Corns can be very painful and generally occur at prominences such as the little toe.', 9: 'Participants complete questionnaires.', 10: 'Areas have subtropical climates.', 11: 'Adult males are more vagile than females and young, and they often move among groups of females.', 12: 'Drawing is a typical domain of the right brain.', 13: 'Some eyes have white fur.'}
| 7 |
6,252 |
["Those that suggest engineers harness geothermal energy by boring deep into Earth's crust are wrong.", "So long as either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse, 'if supplemental manganese is recommended for strains, sprains, and inflammation, then many insects do damage' is true.", 'It is not true that if supplemental manganese is recommended for strains, sprains, and inflammation, then many insects do damage.', "Once we know we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, we also know that jets have (part) petrol gauges.", "We know that either an acute is an accent mark or if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then strawberries consistently show high levels of fungicides.", 'It is a common misconception that an acute is an accent mark.', "Given that some people mistakenly believe that if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then the statement 'strawberries consistently show high levels of fungicides' can be considered false, it can be inferred that some western tanagers feed on insects.", "Assuming some people mistakenly believe that if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then the statement 'strawberries consistently show high levels of fungicides' can be considered false, we know that the statement that states some western tanagers feed on insects is false."]
|
Those that suggest engineers harness geothermal energy by boring deep into Earth's crust are wrong. So long as either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse, 'if supplemental manganese is recommended for strains, sprains, and inflammation, then many insects do damage' is true. It is not true that if supplemental manganese is recommended for strains, sprains, and inflammation, then many insects do damage. Once we know we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, we also know that jets have (part) petrol gauges. We know that either an acute is an accent mark or if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then strawberries consistently show high levels of fungicides. It is a common misconception that an acute is an accent mark. Given that some people mistakenly believe that if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then the statement 'strawberries consistently show high levels of fungicides' can be considered false, it can be inferred that some western tanagers feed on insects. Assuming some people mistakenly believe that if the notion that 'if we know that the claim that either engineers harness geothermal energy by boring deep into Earth's crust or either either antibodies leap into action, sticking to the allergens and causing mast cells to release histamine or cayenne stimulates the blood and the heart, increasing and strengthening the pulse or fatigue can lower motivation and negatively impact job performance and personal relationships is false, then those that suggest jets have (part) petrol gauges are wrong' is untrue, then the statement 'strawberries consistently show high levels of fungicides' can be considered false, we know that the statement that states some western tanagers feed on insects is false.
|
It is the case that fatigue can lower motivation and negatively impact job performance and personal relationships.
|
Fatigue seems to play a role in vocal cord weakness.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either (Either [1] or [2].) or [0].). [SC1-2]
Not [3].
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then [6].
If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].). [SC2-3]
Therefore, Either [3] or (Either (Either [1] or [2].) or [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then [7]. [SC1-4]
If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then (Not [7].). [SC2-4]
Therefore, If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].)..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then [7].).
Not [9].
Therefore, If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then [7]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then (Not [7].).).), then [8].
If (Not (If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then (Not [7].).).), then (Not [8].).
Therefore, If (Not (If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [6].).).), then (Not [7].)..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then (If [4], then [5].).
Not (If [4], then [5].).
Therefore, Not (Either [1] or [2].)..
|
{0: 'Fatigue can lower motivation and negatively impact job performance and personal relationships.', 1: 'Antibodies leap into action, sticking to the allergens and causing mast cells to release histamine.', 2: 'Cayenne stimulates the blood and the heart, increasing and strengthening the pulse.', 3: "Engineers harness geothermal energy by boring deep into Earth's crust.", 4: 'Supplemental manganese is recommended for strains, sprains, and inflammation.', 5: 'Many insects do damage.', 6: 'Jets have (part) petrol gauges.', 7: 'Strawberries consistently show high levels of fungicides.', 8: 'Some western tanagers feed on insects.', 9: 'An acute is an accent mark.'}
| 7 |
6,576 |
['We know that either preschoolers trust their parents or either ground moraine is exposed as glaciers retreat or the claim that some markhors have flare horns does not reflect reality.', "Whenever it is true that sexual reproduction is when offspring occur from two parent cells, 'we know that the claim that preschoolers trust their parents is false' is true.", "The statement 'sexual reproduction is when offspring occur from two parent cells' is true.", "The statement 'oncogenes get their name from the Greek word 'onkos', which means lump or mass' is true.", 'If some rodents carry parasites, then desperation is the radioactive waste of the dating world.', 'The claim that desperation is the radioactive waste of the dating world has no merit.', "If the claim that if oncogenes get their name from the Greek word 'onkos', which means lump or mass, then either some rodents carry parasites or some people mistakenly believe that ground moraine is exposed as glaciers retreat is false, then animals can be a major cause of damage to young trees.", 'We know that the claim that animals can be a major cause of damage to young trees is false.']
|
We know that either preschoolers trust their parents or either ground moraine is exposed as glaciers retreat or the claim that some markhors have flare horns does not reflect reality. Whenever it is true that sexual reproduction is when offspring occur from two parent cells, 'we know that the claim that preschoolers trust their parents is false' is true. The statement 'sexual reproduction is when offspring occur from two parent cells' is true. The statement 'oncogenes get their name from the Greek word 'onkos', which means lump or mass' is true. If some rodents carry parasites, then desperation is the radioactive waste of the dating world. The claim that desperation is the radioactive waste of the dating world has no merit. If the claim that if oncogenes get their name from the Greek word 'onkos', which means lump or mass, then either some rodents carry parasites or some people mistakenly believe that ground moraine is exposed as glaciers retreat is false, then animals can be a major cause of damage to young trees. We know that the claim that animals can be a major cause of damage to young trees is false.
|
The claim that some markhors have flare horns does not reflect reality.
|
The claim that some markhors have flare horns does not reflect reality.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or (Not [0].).).
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [4], then (Either [3] or (Not [1].).). [SC1-3]
[4]
Therefore, Either [3] or (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (Either [3] or (Not [1].).).).), then [7].
Not [7].
Therefore, If [4], then (Either [3] or (Not [1].).)..
[SC2-2]
Modus Tonens:
If [3], then [6].
Not [6].
Therefore, Not [3]..
|
{0: 'Some markhors have flare horns.', 1: 'Ground moraine is exposed as glaciers retreat.', 2: 'Preschoolers trust their parents.', 3: 'Some rodents carry parasites.', 4: "Oncogenes get their name from the Greek word 'onkos', which means lump or mass.", 5: 'Sexual reproduction is when offspring occur from two parent cells.', 6: 'Desperation is the radioactive waste of the dating world.', 7: 'Animals can be a major cause of damage to young trees.'}
| 7 |
6,738 |
["On the condition that liquids expand and contract with temperature changes, it is definitely the case that the statement that 'most pheasants survive late winter' is incorrect.", 'Either corn salad is a herb or if the statement, if liquids expand and contract with temperature changes, then most pheasants survive late winter, does not hold, then if water pumps are used mainly for dewatering purpose to reduce downtime from large rain events, then sweetmeats are candies.', 'The claim that corn salad is a herb does not correspond with reality.', 'Should it be the case that some bluebirds die of wounds, it follows that if if water pumps are used mainly for dewatering purpose to reduce downtime from large rain events, then sweetmeats are candies, then personality disorders are both frequent and difficult to treat.', 'It is rational to agree that some bluebirds die of wounds.', 'It is rational to agree that microprocessors simplify the process of data processing.', 'It is rational to believe that either crime prevention starts with residents educating others on crime awareness or some arctic hares eat willows.', 'One may reasonably assume that if crime prevention starts with residents educating others on crime awareness, then if microprocessors simplify the process of data processing, then the claim that personality disorders are both frequent and difficult to treat does not correspond with reality.', 'Provided that some arctic hares eat willows, we know that if microprocessors simplify the process of data processing, then the claim that personality disorders are both frequent and difficult to treat does not correspond with reality.']
|
On the condition that liquids expand and contract with temperature changes, it is definitely the case that the statement that 'most pheasants survive late winter' is incorrect. Either corn salad is a herb or if the statement, if liquids expand and contract with temperature changes, then most pheasants survive late winter, does not hold, then if water pumps are used mainly for dewatering purpose to reduce downtime from large rain events, then sweetmeats are candies. The claim that corn salad is a herb does not correspond with reality. Should it be the case that some bluebirds die of wounds, it follows that if if water pumps are used mainly for dewatering purpose to reduce downtime from large rain events, then sweetmeats are candies, then personality disorders are both frequent and difficult to treat. It is rational to agree that some bluebirds die of wounds. It is rational to agree that microprocessors simplify the process of data processing. It is rational to believe that either crime prevention starts with residents educating others on crime awareness or some arctic hares eat willows. One may reasonably assume that if crime prevention starts with residents educating others on crime awareness, then if microprocessors simplify the process of data processing, then the claim that personality disorders are both frequent and difficult to treat does not correspond with reality. Provided that some arctic hares eat willows, we know that if microprocessors simplify the process of data processing, then the claim that personality disorders are both frequent and difficult to treat does not correspond with reality.
|
It is not the case that liquids expand and contract with temperature changes.
|
It is not the case that liquids expand and contract with temperature changes.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (If [0], then [1].).), then (If [2], then [3].).).
Not [5].
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If [7], then (If (If [2], then [3].), then [4].).
[7]
Therefore, If (If [2], then [3].), then [4]..
[SC2-3]
Modus Ponens:
If [6], then (Not [4].). [SC1-4]
[6]
Therefore, Not [4]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (Not [4].).).
If [9], then (If [6], then (Not [4].).).
Therefore, If [6], then (Not [4].)..
|
{0: 'Liquids expand and contract with temperature changes.', 1: 'Most pheasants survive late winter.', 2: 'Water pumps are used mainly for dewatering purpose to reduce downtime from large rain events.', 3: 'Sweetmeats are candies.', 4: 'Personality disorders are both frequent and difficult to treat.', 5: 'Corn salad is a herb.', 6: 'Microprocessors simplify the process of data processing.', 7: 'Some bluebirds die of wounds.', 8: 'Crime prevention starts with residents educating others on crime awareness.', 9: 'Some arctic hares eat willows.'}
| 7 |
6,299 |
['On the condition that many horses change their balance and ability to bend around the corners after they are saddled, it is definitely the case that those that suggest animals are multicellular eukaryotes that lack cell walls are wrong.', 'Assuming it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, we know that some men have eyes and see.', 'There is good reason to believe that either content refers to the basic level of learning or if exercise increases oxygen consumption and causes oxygen stores to be depleted faster than usual, then sulfur causes rashes and irritations to occur in the skin and eyes.', 'Should it be the case that content refers to the basic level of learning, it follows that if it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, then the statement that states some men have eyes and see is false.', "So long as waves steepen and break on beaches and shoals, 'either mutation is a limiting factor rather than a controlling factor in evolution or if if exercise increases oxygen consumption and causes oxygen stores to be depleted faster than usual, then sulfur causes rashes and irritations to occur in the skin and eyes, then if it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, then the statement that states some men have eyes and see is false' is true.", 'waves steepen and break on beaches and shoals.', "The statement that 'either soils are divided into coarse grained and fine grained, depending on the size of the soil particles or feeders have senses' is incorrect.", 'We know that either tyrosine travels through the bloodstream to the brain, where it becomes L-dopa or if mutation is a limiting factor rather than a controlling factor in evolution, then either soils are divided into coarse grained and fine grained, depending on the size of the soil particles or feeders have senses.', "The notion that 'tyrosine travels through the bloodstream to the brain, where it becomes L-dopa' is untrue."]
|
On the condition that many horses change their balance and ability to bend around the corners after they are saddled, it is definitely the case that those that suggest animals are multicellular eukaryotes that lack cell walls are wrong. Assuming it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, we know that some men have eyes and see. There is good reason to believe that either content refers to the basic level of learning or if exercise increases oxygen consumption and causes oxygen stores to be depleted faster than usual, then sulfur causes rashes and irritations to occur in the skin and eyes. Should it be the case that content refers to the basic level of learning, it follows that if it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, then the statement that states some men have eyes and see is false. So long as waves steepen and break on beaches and shoals, 'either mutation is a limiting factor rather than a controlling factor in evolution or if if exercise increases oxygen consumption and causes oxygen stores to be depleted faster than usual, then sulfur causes rashes and irritations to occur in the skin and eyes, then if it is a common misconception that if many horses change their balance and ability to bend around the corners after they are saddled, then animals are multicellular eukaryotes that lack cell walls, then the statement that states some men have eyes and see is false' is true. waves steepen and break on beaches and shoals. The statement that 'either soils are divided into coarse grained and fine grained, depending on the size of the soil particles or feeders have senses' is incorrect. We know that either tyrosine travels through the bloodstream to the brain, where it becomes L-dopa or if mutation is a limiting factor rather than a controlling factor in evolution, then either soils are divided into coarse grained and fine grained, depending on the size of the soil particles or feeders have senses. The notion that 'tyrosine travels through the bloodstream to the brain, where it becomes L-dopa' is untrue.
|
Those that suggest many horses change their balance and ability to bend around the corners after they are saddled are wrong.
|
Those that suggest many horses change their balance and ability to bend around the corners after they are saddled are wrong.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).).
If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).). [SC3-3]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC3-3]
Disjunctive Syllogism:
Either [6] or (If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).).). [SC1-4]
Not [6]. [SC2-4]
Therefore, If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC1-4]
Modus Ponens:
If [7], then (Either [6] or (If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).).).).
[7]
Therefore, Either [6] or (If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).).)..
[SC2-4]
Modus Tonens:
If [6], then (Either [8] or [9].). [SC1-5]
Not (Either [8] or [9].).
Therefore, Not [6]..
[SC1-5]
Disjunctive Syllogism:
Either [10] or (If [6], then (Either [8] or [9].).).
Not [10].
Therefore, If [6], then (Either [8] or [9].)..
|
{0: 'Many horses change their balance and ability to bend around the corners after they are saddled.', 1: 'Animals are multicellular eukaryotes that lack cell walls.', 2: 'Some men have eyes and see.', 3: 'Content refers to the basic level of learning.', 4: 'Exercise increases oxygen consumption and causes oxygen stores to be depleted faster than usual.', 5: 'Sulfur causes rashes and irritations to occur in the skin and eyes.', 6: 'Mutation is a limiting factor rather than a controlling factor in evolution.', 7: 'Waves steepen and break on beaches and shoals.', 8: 'Soils are divided into coarse grained and fine grained, depending on the size of the soil particles.', 9: 'Feeders have senses.', 10: 'Tyrosine travels through the bloodstream to the brain, where it becomes L-dopa.'}
| 7 |
6,740 |
['It is a fact that either most cockroaches has-part wings or either arthropods possess a semi-closed circulatory system or all wildlife move in search of food in cycles relative to the lunar phases.', "The notion that 'most cockroaches has-part wings' is untrue.", 'Given that scooter isa container, it can be inferred that if mangrove forests provide an important spawning area for fish, then fuel oil is used for heating, power generation and in ships driven by steam turbines.', 'Either if deserts are places where the reality is more than just virtually real, then grasshoppers can also be deep fried or if all wildlife move in search of food in cycles relative to the lunar phases, then if mangrove forests provide an important spawning area for fish, then fuel oil is used for heating, power generation and in ships driven by steam turbines.', 'One may reasonably assume that if most men know what confidence is, and even know that women love confident men, then if arthropods possess a semi-closed circulatory system, then scooter isa container.', 'When smoking is a risk factor for many cancers is true, it follows that the statement, if deserts are places where the reality is more than just virtually real, then grasshoppers can also be deep fried, does not hold.', 'The claim that smoking is a risk factor for many cancers is true.', 'Either one or both of these statements are true: some agents can infest only specific organs like flowers or roots to which they are specialized, or most men know what confidence is, and even know that women love confident men.', 'It is a common misconception that some agents can infest only specific organs like flowers or roots to which they are specialized.']
|
It is a fact that either most cockroaches has-part wings or either arthropods possess a semi-closed circulatory system or all wildlife move in search of food in cycles relative to the lunar phases. The notion that 'most cockroaches has-part wings' is untrue. Given that scooter isa container, it can be inferred that if mangrove forests provide an important spawning area for fish, then fuel oil is used for heating, power generation and in ships driven by steam turbines. Either if deserts are places where the reality is more than just virtually real, then grasshoppers can also be deep fried or if all wildlife move in search of food in cycles relative to the lunar phases, then if mangrove forests provide an important spawning area for fish, then fuel oil is used for heating, power generation and in ships driven by steam turbines. One may reasonably assume that if most men know what confidence is, and even know that women love confident men, then if arthropods possess a semi-closed circulatory system, then scooter isa container. When smoking is a risk factor for many cancers is true, it follows that the statement, if deserts are places where the reality is more than just virtually real, then grasshoppers can also be deep fried, does not hold. The claim that smoking is a risk factor for many cancers is true. Either one or both of these statements are true: some agents can infest only specific organs like flowers or roots to which they are specialized, or most men know what confidence is, and even know that women love confident men. It is a common misconception that some agents can infest only specific organs like flowers or roots to which they are specialized.
|
Given that mangrove forests provide an important spawning area for fish, it can be inferred that fuel oil is used for heating, power generation and in ships driven by steam turbines.
|
The claim that if mangrove forests provide an important spawning area for fish, then fuel oil is used for heating, power generation and in ships driven by steam turbines has no merit.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].).
Not [4].
Therefore, Either [2] or [3]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [7]. [SC1-2]
If [7], then (If [0], then [1].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [8], then (If [2], then [7].).
[8] [SC2-3]
Therefore, If [2], then [7]..
[SC2-3]
Disjunctive Syllogism:
Either [10] or [8].
Not [10].
Therefore, [8].
[SC3-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [3], then (If [0], then [1].).).
Not (If [5], then [6].). [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [9], then (Not (If [5], then [6].).).
[9]
Therefore, Not (If [5], then [6].)..
|
{0: 'Mangrove forests provide an important spawning area for fish.', 1: 'Fuel oil is used for heating, power generation and in ships driven by steam turbines.', 2: 'Arthropods possess a semi-closed circulatory system.', 3: 'All wildlife move in search of food in cycles relative to the lunar phases.', 4: 'Most cockroaches has-part wings.', 5: 'Deserts are places where the reality is more than just virtually real.', 6: 'Grasshoppers can also be deep fried.', 7: 'Scooter isa container.', 8: 'Most men know what confidence is, and even know that women love confident men.', 9: 'Smoking is a risk factor for many cancers.', 10: 'Some agents can infest only specific organs like flowers or roots to which they are specialized.'}
| 7 |
6,247 |
['It is a common misconception that most amino acid contains sulfur atoms.', 'At least one of two things is true: either waterfowl use the Missouri River as a resting place on their southward journey or silver is obtained from the ores argentite, cerarygrite, pyrargyrite, stephanite, and proustite, or elephants turn tails.', "So long as either waterfowl use the Missouri River as a resting place on their southward journey or silver is obtained from the ores argentite, cerarygrite, pyrargyrite, stephanite, and proustite, 'either most amino acid contains sulfur atoms or battens are all carbon fiber' is true.", 'Either one or both of these statements are true: warblers have thinner, unhooked bills, or if if a heavy weapon is an armament, then energy is an important part of our daily lives, then if elephants turn tails, then either most amino acid contains sulfur atoms or battens are all carbon fiber.', 'The statement, warblers have thinner, unhooked bills, does not hold.', 'Provided that the statement, either braille cells represent the alphabet, numbers and punctuation or if a heavy weapon is an armament, then energy is an important part of our daily lives, does not hold, we know that malaria is curable if caught early.', 'One may reasonably assume that if the statement, either braille cells represent the alphabet, numbers and punctuation or if a heavy weapon is an armament, then energy is an important part of our daily lives, does not hold, then the claim that malaria is curable if caught early does not correspond with reality.', 'If braille cells represent the alphabet, numbers and punctuation, then some birds spend more time on wintering grounds and migration than here on breeding grounds.', 'It is not the case that some birds spend more time on wintering grounds and migration than here on breeding grounds.']
|
It is a common misconception that most amino acid contains sulfur atoms. At least one of two things is true: either waterfowl use the Missouri River as a resting place on their southward journey or silver is obtained from the ores argentite, cerarygrite, pyrargyrite, stephanite, and proustite, or elephants turn tails. So long as either waterfowl use the Missouri River as a resting place on their southward journey or silver is obtained from the ores argentite, cerarygrite, pyrargyrite, stephanite, and proustite, 'either most amino acid contains sulfur atoms or battens are all carbon fiber' is true. Either one or both of these statements are true: warblers have thinner, unhooked bills, or if if a heavy weapon is an armament, then energy is an important part of our daily lives, then if elephants turn tails, then either most amino acid contains sulfur atoms or battens are all carbon fiber. The statement, warblers have thinner, unhooked bills, does not hold. Provided that the statement, either braille cells represent the alphabet, numbers and punctuation or if a heavy weapon is an armament, then energy is an important part of our daily lives, does not hold, we know that malaria is curable if caught early. One may reasonably assume that if the statement, either braille cells represent the alphabet, numbers and punctuation or if a heavy weapon is an armament, then energy is an important part of our daily lives, does not hold, then the claim that malaria is curable if caught early does not correspond with reality. If braille cells represent the alphabet, numbers and punctuation, then some birds spend more time on wintering grounds and migration than here on breeding grounds. It is not the case that some birds spend more time on wintering grounds and migration than here on breeding grounds.
|
The idea that battens are all carbon fiber is true.
|
The idea that battens are all carbon fiber is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (Either [1] or [0].).
If [4], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Modus Ponens:
If (If [5], then [6].), then (If [4], then (Either [1] or [0].).). [SC1-3]
If [5], then [6]. [SC2-3]
Therefore, If [4], then (Either [1] or [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (If [5], then [6].), then (If [4], then (Either [1] or [0].).).).
Not [8].
Therefore, If (If [5], then [6].), then (If [4], then (Either [1] or [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [5], then [6].). [SC1-4]
Not [7]. [SC2-4]
Therefore, If [5], then [6]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [7] or (If [5], then [6].).).), then [10].
If (Not (Either [7] or (If [5], then [6].).).), then (Not [10].).
Therefore, Either [7] or (If [5], then [6].)..
[SC2-4]
Modus Tonens:
If [7], then [9].
Not [9].
Therefore, Not [7]..
|
{0: 'Battens are all carbon fiber.', 1: 'Most amino acid contains sulfur atoms.', 2: 'Waterfowl use the Missouri River as a resting place on their southward journey.', 3: 'Silver is obtained from the ores argentite, cerarygrite, pyrargyrite, stephanite, and proustite.', 4: 'Elephants turn tails.', 5: 'A heavy weapon is an armament.', 6: 'Energy is an important part of our daily lives.', 7: 'Braille cells represent the alphabet, numbers and punctuation.', 8: 'Warblers have thinner, unhooked bills.', 9: 'Some birds spend more time on wintering grounds and migration than here on breeding grounds.', 10: 'Malaria is curable if caught early.'}
| 7 |
6,926 |
['It is the case that muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles.', 'Should it be the case that viruses reproduce by taking over the reproduction mechanism of a host cell, it follows that most Canadian ginseng is cultivated on raised beds, in fields, and under artificial shade.', 'Either one or both of these statements are true: some animals eat kelp, or some juniper has cones.', 'Once we know some juniper has cones, we also know that if muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles, then viruses reproduce by taking over the reproduction mechanism of a host cell.', "We know that at least one of two things is true: organizational memory is much more than computer-based records, or if the notion that 'if some animals eat kelp, then if muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles, then viruses reproduce by taking over the reproduction mechanism of a host cell' is untrue, then depression is a complex illness.", "So long as depression is a complex illness, 'if swordsmanship is the art of killing, then foals usually stay close to their mothers' is true.", 'It is not true that if swordsmanship is the art of killing, then foals usually stay close to their mothers.', 'It is rational to believe that either arab women are usually deferential to their fathers, brothers, or husbands in public or japanese millet grows best in wet soils.', 'Given that arab women are usually deferential to their fathers, brothers, or husbands in public, it can be inferred that it is a common misconception that organizational memory is much more than computer-based records.', 'One may reasonably assume that if japanese millet grows best in wet soils, then it is a common misconception that organizational memory is much more than computer-based records.']
|
It is the case that muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles. Should it be the case that viruses reproduce by taking over the reproduction mechanism of a host cell, it follows that most Canadian ginseng is cultivated on raised beds, in fields, and under artificial shade. Either one or both of these statements are true: some animals eat kelp, or some juniper has cones. Once we know some juniper has cones, we also know that if muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles, then viruses reproduce by taking over the reproduction mechanism of a host cell. We know that at least one of two things is true: organizational memory is much more than computer-based records, or if the notion that 'if some animals eat kelp, then if muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles, then viruses reproduce by taking over the reproduction mechanism of a host cell' is untrue, then depression is a complex illness. So long as depression is a complex illness, 'if swordsmanship is the art of killing, then foals usually stay close to their mothers' is true. It is not true that if swordsmanship is the art of killing, then foals usually stay close to their mothers. It is rational to believe that either arab women are usually deferential to their fathers, brothers, or husbands in public or japanese millet grows best in wet soils. Given that arab women are usually deferential to their fathers, brothers, or husbands in public, it can be inferred that it is a common misconception that organizational memory is much more than computer-based records. One may reasonably assume that if japanese millet grows best in wet soils, then it is a common misconception that organizational memory is much more than computer-based records.
|
Those that suggest most Canadian ginseng is cultivated on raised beds, in fields, and under artificial shade are right.
|
Canadian ginseng is known to contain more ginsenosides than Asian and therefore is more potent.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [2].). [SC2-3]
If [4], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then (If [1], then [2].).).), then [5]. [SC1-4]
Not [5]. [SC2-4]
Therefore, If [3], then (If [1], then [2].)..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (If (Not (If [3], then (If [1], then [2].).).), then [5].).
Not [6]. [SC2-5]
Therefore, If (Not (If [3], then (If [1], then [2].).).), then [5]..
[SC2-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [6].).
If [10], then (Not [6].).
Therefore, Not [6]..
[SC2-4]
Modus Tonens:
If [5], then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, Not [5]..
|
{0: 'Most Canadian ginseng is cultivated on raised beds, in fields, and under artificial shade.', 1: 'Muscular dystrophy is a chronic disease characterised by a gradual wasting of the muscles.', 2: 'Viruses reproduce by taking over the reproduction mechanism of a host cell.', 3: 'Some animals eat kelp.', 4: 'Some juniper has cones.', 5: 'Depression is a complex illness.', 6: 'Organizational memory is much more than computer-based records.', 7: 'Swordsmanship is the art of killing.', 8: 'Foals usually stay close to their mothers.', 9: 'Arab women are usually deferential to their fathers, brothers, or husbands in public.', 10: 'Japanese millet grows best in wet soils.'}
| 7 |
6,412 |
['The statement that states other crops include vegetables is false.', "Once we know the statement that 'either other crops include vegetables or the statement that 'money is a means to an end' is incorrect' is incorrect, we also know that livestock are unaffected by the presence of wind farms.", 'It is rational to believe that either commerce drives invention and industry, which in turn changes society or doctors often hear heart murmurs when they check children who have a fever.', "So long as commerce drives invention and industry, which in turn changes society, 'either venom has reaction or some people mistakenly believe that livestock are unaffected by the presence of wind farms' is true.", 'On the condition that venom has reaction, it is definitely the case that the statement that states educators are workers is false.', 'Should it be the case that doctors often hear heart murmurs when they check children who have a fever, it follows that if negative music is music that has a negative effect, then clothing can help to reduce the effects of wind.', 'If if negative music is music that has a negative effect, then clothing can help to reduce the effects of wind, then either venom has reaction or some people mistakenly believe that livestock are unaffected by the presence of wind farms.', "There is good reason to believe that either some men release animals or either exercise is important for overall fitness, as well as physical and mental health or sugar is the body's quickest source of energy.", 'Assuming some men release animals, we know that if venom has reaction, then educators are workers.', "Provided that either exercise is important for overall fitness, as well as physical and mental health or sugar is the body's quickest source of energy, we know that if venom has reaction, then educators are workers."]
|
The statement that states other crops include vegetables is false. Once we know the statement that 'either other crops include vegetables or the statement that 'money is a means to an end' is incorrect' is incorrect, we also know that livestock are unaffected by the presence of wind farms. It is rational to believe that either commerce drives invention and industry, which in turn changes society or doctors often hear heart murmurs when they check children who have a fever. So long as commerce drives invention and industry, which in turn changes society, 'either venom has reaction or some people mistakenly believe that livestock are unaffected by the presence of wind farms' is true. On the condition that venom has reaction, it is definitely the case that the statement that states educators are workers is false. Should it be the case that doctors often hear heart murmurs when they check children who have a fever, it follows that if negative music is music that has a negative effect, then clothing can help to reduce the effects of wind. If if negative music is music that has a negative effect, then clothing can help to reduce the effects of wind, then either venom has reaction or some people mistakenly believe that livestock are unaffected by the presence of wind farms. There is good reason to believe that either some men release animals or either exercise is important for overall fitness, as well as physical and mental health or sugar is the body's quickest source of energy. Assuming some men release animals, we know that if venom has reaction, then educators are workers. Provided that either exercise is important for overall fitness, as well as physical and mental health or sugar is the body's quickest source of energy, we know that if venom has reaction, then educators are workers.
|
The statement that 'money is a means to an end' is incorrect.
|
We can assume that money is a means to an end.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [3] or (Not [2].).).
If [5], then (Either [3] or (Not [2].).). [SC3-4]
Therefore, Either [3] or (Not [2].)..
[SC3-4]
Hypothetical Syllogism:
If [5], then (If [7], then [8].).
If (If [7], then [8].), then (Either [3] or (Not [2].).).
Therefore, If [5], then (Either [3] or (Not [2].).)..
[SC2-3]
Reductio Ad Absurdum:
If [3], then [6]. [SC1-4]
If [3], then (Not [6].).
Therefore, Not [3]..
[SC1-4]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [3], then [6].).
If (Either [10] or [11].), then (If [3], then [6].).
Therefore, If [3], then [6]..
|
{0: 'Money is a means to an end.', 1: 'Other crops include vegetables.', 2: 'Livestock are unaffected by the presence of wind farms.', 3: 'Venom has reaction.', 4: 'Commerce drives invention and industry, which in turn changes society.', 5: 'Doctors often hear heart murmurs when they check children who have a fever.', 6: 'Educators are workers.', 7: 'Negative music is music that has a negative effect.', 8: 'Clothing can help to reduce the effects of wind.', 9: 'Some men release animals.', 10: 'Exercise is important for overall fitness, as well as physical and mental health.', 11: "Sugar is the body's quickest source of energy."}
| 7 |
6,389 |
['Once we know arboriculture is the care of trees and shrubs, particularly in urban settings, we also know that if healthy plants help clean air, conserve soil, and beautify landscapes, then the statement, some people believe cultural feminism gradually superseded radical feminism, does not hold.', 'The claim that arboriculture is the care of trees and shrubs, particularly in urban settings holds true.', 'It is a fact that either parallelism is the nature of hardware or boats are located in oceans.', "Should it be the case that we know that the claim that if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape is false, it follows that information is a human necessity within a democratic society.", "The statement 'information is a human necessity within a democratic society' can be considered false.", 'Either rape causes emotional and physical and mental scars that last a lifetime or monkeys are located in television ads.', "On the condition that rape causes emotional and physical and mental scars that last a lifetime, it is definitely the case that if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong.", 'Either one or both of these statements are true: spectroscopic binaries is when two sets of spectral lines are doppler shifted due to orbital motion, or handles are used for liftings.', "One may reasonably assume that if spectroscopic binaries is when two sets of spectral lines are doppler shifted due to orbital motion, then if monkeys are located in television ads, then if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong.", "One may reasonably assume that if handles are used for liftings, then if monkeys are located in television ads, then if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong."]
|
Once we know arboriculture is the care of trees and shrubs, particularly in urban settings, we also know that if healthy plants help clean air, conserve soil, and beautify landscapes, then the statement, some people believe cultural feminism gradually superseded radical feminism, does not hold. The claim that arboriculture is the care of trees and shrubs, particularly in urban settings holds true. It is a fact that either parallelism is the nature of hardware or boats are located in oceans. Should it be the case that we know that the claim that if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape is false, it follows that information is a human necessity within a democratic society. The statement 'information is a human necessity within a democratic society' can be considered false. Either rape causes emotional and physical and mental scars that last a lifetime or monkeys are located in television ads. On the condition that rape causes emotional and physical and mental scars that last a lifetime, it is definitely the case that if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong. Either one or both of these statements are true: spectroscopic binaries is when two sets of spectral lines are doppler shifted due to orbital motion, or handles are used for liftings. One may reasonably assume that if spectroscopic binaries is when two sets of spectral lines are doppler shifted due to orbital motion, then if monkeys are located in television ads, then if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong. One may reasonably assume that if handles are used for liftings, then if monkeys are located in television ads, then if the claim that if either parallelism is the nature of hardware or boats are located in oceans, then healthy plants help clean air, conserve soil, and beautify landscapes does not reflect reality, then those that suggest if excessive egg laying also depletes a female's body of calcium as well as other nutrients, then power plants make state prisons look like better neighbors, even after the inmates escape are wrong.
|
The statement, some people believe cultural feminism gradually superseded radical feminism, does not hold.
|
The statement 'many people claim they suffer from headaches much less after having a colonic treatment' can be considered false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).).
[2]
Therefore, If [1], then (Not [0].)..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then [1]. [SC1-2]
Either [3] or [4].
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then [1].).), then (If [5], then [6].). [SC1-3]
If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If (Either [3] or [4].), then [1]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Either [3] or [4].), then [1].).), then (If [5], then [6].).).), then [7].
Not [7].
Therefore, If (Not (If (Either [3] or [4].), then [1].).), then (If [5], then [6].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).).).
If [9], then (If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).).). [SC3-4]
Therefore, If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).)..
[SC3-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [9], then (If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).).).).
If [11], then (If [9], then (If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).).).).
Therefore, If [9], then (If (Not (If (Either [3] or [4].), then [1].).), then (Not (If [5], then [6].).).)..
|
{0: 'Some people believe cultural feminism gradually superseded radical feminism.', 1: 'Healthy plants help clean air, conserve soil, and beautify landscapes.', 2: 'Arboriculture is the care of trees and shrubs, particularly in urban settings.', 3: 'Parallelism is the nature of hardware.', 4: 'Boats are located in oceans.', 5: "Excessive egg laying also depletes a female's body of calcium as well as other nutrients.", 6: 'Power plants make state prisons look like better neighbors, even after the inmates escape.', 7: 'Information is a human necessity within a democratic society.', 8: 'Rape causes emotional and physical and mental scars that last a lifetime.', 9: 'Monkeys are located in television ads.', 10: 'Spectroscopic binaries is when two sets of spectral lines are doppler shifted due to orbital motion.', 11: 'Handles are used for liftings.'}
| 7 |
6,796 |
['We know that either chlorinated water can reduce microbial load if water is used during handling or endocrinologists specialize in the treatment of low testosterone.', 'On the condition that chlorinated water can reduce microbial load if water is used during handling, it is definitely the case that either inavale soils are on similar topographic positions, are sandy or if it is not the case that sheriff isa guardian, then sighted persons use a variety of techniques in viewing and producing text.', 'When endocrinologists specialize in the treatment of low testosterone is true, it follows that either inavale soils are on similar topographic positions, are sandy or if it is not the case that sheriff isa guardian, then sighted persons use a variety of techniques in viewing and producing text.', 'At least one of two things is true: lions become sexually mature around the age of two to three years, or either poor ventilation can lead to respiratory illness or bird dogs are somewhat the same as hunting retrievers.', "One may reasonably assume that if lions become sexually mature around the age of two to three years, then the notion that 'inavale soils are on similar topographic positions, are sandy' is untrue.", "Given that either poor ventilation can lead to respiratory illness or bird dogs are somewhat the same as hunting retrievers, it can be inferred that the notion that 'inavale soils are on similar topographic positions, are sandy' is untrue.", "Whenever it is true that the claim that if it is not the case that sheriff isa guardian, then the claim that sighted persons use a variety of techniques in viewing and producing text does not reflect reality does not reflect reality, 'citation databases provide information that can be used to evaluate a person or a department' is true.", 'Assuming citation databases provide information that can be used to evaluate a person or a department, we know that aerospace medicine is one of three specialty area within the field of preventive medicine.', 'When some forces can act from a distance without actual contact between the two interacting objects is true, it follows that if the claim that if it is not the case that sheriff isa guardian, then the claim that sighted persons use a variety of techniques in viewing and producing text does not reflect reality does not reflect reality, then the claim that aerospace medicine is one of three specialty area within the field of preventive medicine does not correspond with reality.', 'some forces can act from a distance without actual contact between the two interacting objects.']
|
We know that either chlorinated water can reduce microbial load if water is used during handling or endocrinologists specialize in the treatment of low testosterone. On the condition that chlorinated water can reduce microbial load if water is used during handling, it is definitely the case that either inavale soils are on similar topographic positions, are sandy or if it is not the case that sheriff isa guardian, then sighted persons use a variety of techniques in viewing and producing text. When endocrinologists specialize in the treatment of low testosterone is true, it follows that either inavale soils are on similar topographic positions, are sandy or if it is not the case that sheriff isa guardian, then sighted persons use a variety of techniques in viewing and producing text. At least one of two things is true: lions become sexually mature around the age of two to three years, or either poor ventilation can lead to respiratory illness or bird dogs are somewhat the same as hunting retrievers. One may reasonably assume that if lions become sexually mature around the age of two to three years, then the notion that 'inavale soils are on similar topographic positions, are sandy' is untrue. Given that either poor ventilation can lead to respiratory illness or bird dogs are somewhat the same as hunting retrievers, it can be inferred that the notion that 'inavale soils are on similar topographic positions, are sandy' is untrue. Whenever it is true that the claim that if it is not the case that sheriff isa guardian, then the claim that sighted persons use a variety of techniques in viewing and producing text does not reflect reality does not reflect reality, 'citation databases provide information that can be used to evaluate a person or a department' is true. Assuming citation databases provide information that can be used to evaluate a person or a department, we know that aerospace medicine is one of three specialty area within the field of preventive medicine. When some forces can act from a distance without actual contact between the two interacting objects is true, it follows that if the claim that if it is not the case that sheriff isa guardian, then the claim that sighted persons use a variety of techniques in viewing and producing text does not reflect reality does not reflect reality, then the claim that aerospace medicine is one of three specialty area within the field of preventive medicine does not correspond with reality. some forces can act from a distance without actual contact between the two interacting objects.
|
The claim that sheriff isa guardian holds true.
|
The claim that sheriff isa guardian holds true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then [1].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or (If (Not [0].), then [1].).).
If [7], then (Either [3] or (If (Not [0].), then [1].).).
Therefore, Either [3] or (If (Not [0].), then [1].)..
[SC2-2]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (Not [3].).
If (Either [9] or [10].), then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [4].
If [4], then [2].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).).
[5]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].)..
|
{0: 'Sheriff isa guardian.', 1: 'Sighted persons use a variety of techniques in viewing and producing text.', 2: 'Aerospace medicine is one of three specialty area within the field of preventive medicine.', 3: 'Inavale soils are on similar topographic positions, are sandy.', 4: 'Citation databases provide information that can be used to evaluate a person or a department.', 5: 'Some forces can act from a distance without actual contact between the two interacting objects.', 6: 'Chlorinated water can reduce microbial load if water is used during handling.', 7: 'Endocrinologists specialize in the treatment of low testosterone.', 8: 'Lions become sexually mature around the age of two to three years.', 9: 'Poor ventilation can lead to respiratory illness.', 10: 'Bird dogs are somewhat the same as hunting retrievers.'}
| 7 |
6,601 |
['If we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then various grains produce food for the wildlife.', 'The claim that head lice live in the hair and come down to the scalp to feed by sucking blood does not reflect reality.', "Whenever it is true that some people mistakenly believe that some flowers contain chemicals, 'manners are a sensitive awareness of the feelings of others' is true.", "Whenever it is true that some people mistakenly believe that some flowers contain chemicals, 'the statement 'manners are a sensitive awareness of the feelings of others' can be considered false' is true.", "Whenever it is true that the statement, if we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then it is a common misconception that various grains produce food for the wildlife, does not hold, 'downhills are descents' is true.", "On the condition that the statement, if we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then it is a common misconception that various grains produce food for the wildlife, does not hold, it is definitely the case that the notion that 'downhills are descents' is untrue.", 'Should it be the case that the statement, either head lice live in the hair and come down to the scalp to feed by sucking blood or if some flowers contain chemicals, then if it is not true that bacteria can enter a well by several different pathways, then anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold, it follows that dehydration often causes bad breath, especially first thing in the morning.', 'Given that the statement, either head lice live in the hair and come down to the scalp to feed by sucking blood or if some flowers contain chemicals, then if it is not true that bacteria can enter a well by several different pathways, then anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold, it can be inferred that the statement, dehydration often causes bad breath, especially first thing in the morning, does not hold.']
|
If we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then various grains produce food for the wildlife. The claim that head lice live in the hair and come down to the scalp to feed by sucking blood does not reflect reality. Whenever it is true that some people mistakenly believe that some flowers contain chemicals, 'manners are a sensitive awareness of the feelings of others' is true. Whenever it is true that some people mistakenly believe that some flowers contain chemicals, 'the statement 'manners are a sensitive awareness of the feelings of others' can be considered false' is true. Whenever it is true that the statement, if we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then it is a common misconception that various grains produce food for the wildlife, does not hold, 'downhills are descents' is true. On the condition that the statement, if we know that the claim that if it is not true that bacteria can enter a well by several different pathways, then the statement, anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold is false, then it is a common misconception that various grains produce food for the wildlife, does not hold, it is definitely the case that the notion that 'downhills are descents' is untrue. Should it be the case that the statement, either head lice live in the hair and come down to the scalp to feed by sucking blood or if some flowers contain chemicals, then if it is not true that bacteria can enter a well by several different pathways, then anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold, it follows that dehydration often causes bad breath, especially first thing in the morning. Given that the statement, either head lice live in the hair and come down to the scalp to feed by sucking blood or if some flowers contain chemicals, then if it is not true that bacteria can enter a well by several different pathways, then anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia, does not hold, it can be inferred that the statement, dehydration often causes bad breath, especially first thing in the morning, does not hold.
|
The statement 'bacteria can enter a well by several different pathways' can be considered true.
|
Bacteria have short generation times , easily-sequenced genomes, and well understood biology.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (If (Not [0].), then [1].).). [SC1-3]
Not [6].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (If [2], then (If (Not [0].), then [1].).).).), then [7].
If (Not (Either [6] or (If [2], then (If (Not [0].), then [1].).).).), then (Not [7].).
Therefore, Either [6] or (If [2], then (If (Not [0].), then [1].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [4].
If (Not [2].), then (Not [4].).
Therefore, [2].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [3].
If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].).).), then [5].
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].).).), then (Not [5].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].)..
|
{0: 'Bacteria can enter a well by several different pathways.', 1: 'Anemia often causes symptoms like dizziness, fatigue, rapid heart rate, leg cramps, and insomnia.', 2: 'Some flowers contain chemicals.', 3: 'Various grains produce food for the wildlife.', 4: 'Manners are a sensitive awareness of the feelings of others.', 5: 'Downhills are descents.', 6: 'Head lice live in the hair and come down to the scalp to feed by sucking blood .', 7: 'Dehydration often causes bad breath, especially first thing in the morning.'}
| 7 |
6,654 |
['On the condition that either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition, it is definitely the case that most birds release eggs.', 'One may reasonably assume that if excessive sedation appears to be the main effect of an overdose of mirtazapine, then most birds release eggs.', 'It is a fact that either computer technology has the potential for greatly assisting individuals with special-needs or all religions recognize that the divine transcends language.', 'Assuming all religions recognize that the divine transcends language, we know that either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine.', 'Given that some gasoline contributes to pollution problems, it can be inferred that heat can exhaust even the healthiest people.', 'It is a fact that either dolphins belong to a group of mammals called cetaceans or either most children outgrow sleepwalking or an anionic is detergent.', 'On the condition that dolphins belong to a group of mammals called cetaceans , it is definitely the case that if computer technology has the potential for greatly assisting individuals with special-needs, then either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine.', 'Should it be the case that heat can exhaust even the healthiest people, it follows that birds produce sperm and egg cells just as mammals do, but most male birds lack a copulatory organ.', 'On the condition that heat can exhaust even the healthiest people, it is definitely the case that it is a common misconception that birds produce sperm and egg cells just as mammals do, but most male birds lack a copulatory organ.', 'When creases become permanent over time and cause stressed areas is true, it follows that if either most children outgrow sleepwalking or an anionic is detergent, then if computer technology has the potential for greatly assisting individuals with special-needs, then either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine.', 'Those that suggest creases become permanent over time and cause stressed areas are right.']
|
On the condition that either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition, it is definitely the case that most birds release eggs. One may reasonably assume that if excessive sedation appears to be the main effect of an overdose of mirtazapine, then most birds release eggs. It is a fact that either computer technology has the potential for greatly assisting individuals with special-needs or all religions recognize that the divine transcends language. Assuming all religions recognize that the divine transcends language, we know that either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine. Given that some gasoline contributes to pollution problems, it can be inferred that heat can exhaust even the healthiest people. It is a fact that either dolphins belong to a group of mammals called cetaceans or either most children outgrow sleepwalking or an anionic is detergent. On the condition that dolphins belong to a group of mammals called cetaceans , it is definitely the case that if computer technology has the potential for greatly assisting individuals with special-needs, then either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine. Should it be the case that heat can exhaust even the healthiest people, it follows that birds produce sperm and egg cells just as mammals do, but most male birds lack a copulatory organ. On the condition that heat can exhaust even the healthiest people, it is definitely the case that it is a common misconception that birds produce sperm and egg cells just as mammals do, but most male birds lack a copulatory organ. When creases become permanent over time and cause stressed areas is true, it follows that if either most children outgrow sleepwalking or an anionic is detergent, then if computer technology has the potential for greatly assisting individuals with special-needs, then either some gasoline contributes to pollution problems or either either omnivores can get energy either by eating plants directly or by eating herbivores or statistic isa cognition or excessive sedation appears to be the main effect of an overdose of mirtazapine. Those that suggest creases become permanent over time and cause stressed areas are right.
|
The statement that states most birds release eggs is right.
|
The statement that states most birds release eggs is right.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0].
If [3], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either (Either [1] or [2].) or [3].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).). [SC2-3]
If [7], then (Either [4] or (Either (Either [1] or [2].) or [3].).).
Therefore, Either [4] or (Either (Either [1] or [2].) or [3].)..
[SC2-3]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).).).
If (Either [9] or [10].), then (If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).).). [SC3-4]
Therefore, If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).)..
[SC3-4]
Modus Ponens:
If [12], then (If (Either [9] or [10].), then (If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).).).).
[12]
Therefore, If (Either [9] or [10].), then (If [6], then (Either [4] or (Either (Either [1] or [2].) or [3].).).)..
[SC2-2]
Modus Tonens:
If [4], then [5].
Not [5]. [SC2-3]
Therefore, Not [4]..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [11].
If [5], then (Not [11].).
Therefore, Not [5]..
|
{0: 'Most birds release eggs.', 1: 'Omnivores can get energy either by eating plants directly or by eating herbivores.', 2: 'Statistic isa cognition.', 3: 'Excessive sedation appears to be the main effect of an overdose of mirtazapine.', 4: 'Some gasoline contributes to pollution problems.', 5: 'Heat can exhaust even the healthiest people.', 6: 'Computer technology has the potential for greatly assisting individuals with special-needs.', 7: 'All religions recognize that the divine transcends language.', 8: 'Dolphins belong to a group of mammals called cetaceans .', 9: 'Most children outgrow sleepwalking.', 10: 'An anionic is detergent.', 11: 'Birds produce sperm and egg cells just as mammals do, but most male birds lack a copulatory organ.', 12: 'Creases become permanent over time and cause stressed areas.'}
| 7 |
6,261 |
["Assuming materialism is part of the scientific enterprise, we know that all Siamese twins are identical or 'monozygotic'.", "One may reasonably assume that if the statement, if materialism is part of the scientific enterprise, then some people mistakenly believe that all Siamese twins are identical or 'monozygotic', does not hold, then some people mistakenly believe that pesticides are just one of many tools available in combatting the harmful effects of pests.", "It is a fact that either either orotic acid accumulates in the blood and is excreted in the urine or some bison provide blood or if the claim that if the statement, if materialism is part of the scientific enterprise, then some people mistakenly believe that all Siamese twins are identical or 'monozygotic', does not hold, then pesticides are just one of many tools available in combatting the harmful effects of pests has no merit, then destructive interference happens when two or more waves are in the same place and out of phase.", 'It is a common misconception that either orotic acid accumulates in the blood and is excreted in the urine or some bison provide blood.', 'Either one or both of these statements are true: some elements can appear in a variety of solid states, or the claim that destructive interference happens when two or more waves are in the same place and out of phase has no merit.', 'The claim that either water acting as a heat sink is able to maintain low sample temperatures, retarding deterioration or most machines use power has no merit.', 'If lateral roots produce adventitious shoots , then either either water acting as a heat sink is able to maintain low sample temperatures, retarding deterioration or most machines use power or the claim that some elements can appear in a variety of solid states does not reflect reality.', 'Those that suggest lateral roots produce adventitious shoots are right.']
|
Assuming materialism is part of the scientific enterprise, we know that all Siamese twins are identical or 'monozygotic'. One may reasonably assume that if the statement, if materialism is part of the scientific enterprise, then some people mistakenly believe that all Siamese twins are identical or 'monozygotic', does not hold, then some people mistakenly believe that pesticides are just one of many tools available in combatting the harmful effects of pests. It is a fact that either either orotic acid accumulates in the blood and is excreted in the urine or some bison provide blood or if the claim that if the statement, if materialism is part of the scientific enterprise, then some people mistakenly believe that all Siamese twins are identical or 'monozygotic', does not hold, then pesticides are just one of many tools available in combatting the harmful effects of pests has no merit, then destructive interference happens when two or more waves are in the same place and out of phase. It is a common misconception that either orotic acid accumulates in the blood and is excreted in the urine or some bison provide blood. Either one or both of these statements are true: some elements can appear in a variety of solid states, or the claim that destructive interference happens when two or more waves are in the same place and out of phase has no merit. The claim that either water acting as a heat sink is able to maintain low sample temperatures, retarding deterioration or most machines use power has no merit. If lateral roots produce adventitious shoots , then either either water acting as a heat sink is able to maintain low sample temperatures, retarding deterioration or most machines use power or the claim that some elements can appear in a variety of solid states does not reflect reality. Those that suggest lateral roots produce adventitious shoots are right.
|
The statement, materialism is part of the scientific enterprise, does not hold.
|
We can assume that materialism is part of the scientific enterprise.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [2].).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then (Not [1].).).), then [2].).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If (Not (If (Not (If [0], then (Not [1].).).), then [2].).), then [3].).
Not (Either [5] or [6].).
Therefore, If (Not (If (Not (If [0], then (Not [1].).).), then [2].).), then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC2-4]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Not [4].). [SC1-5]
Not (Either [7] or [8].).
Therefore, Not [4]..
[SC1-5]
Modus Ponens:
If [9], then (Either (Either [7] or [8].) or (Not [4].).).
[9]
Therefore, Either (Either [7] or [8].) or (Not [4].)..
|
{0: 'Materialism is part of the scientific enterprise.', 1: "All Siamese twins are identical or 'monozygotic'.", 2: 'Pesticides are just one of many tools available in combatting the harmful effects of pests.', 3: 'Destructive interference happens when two or more waves are in the same place and out of phase.', 4: 'Some elements can appear in a variety of solid states.', 5: 'Orotic acid accumulates in the blood and is excreted in the urine.', 6: 'Some bison provide blood.', 7: 'Water acting as a heat sink is able to maintain low sample temperatures, retarding deterioration.', 8: 'Most machines use power.', 9: 'Lateral roots produce adventitious shoots .'}
| 7 |
6,456 |
['It is rational to believe that either if ecosystems consist of various components, then synapses are therefore capable of linearly transmitting presynaptic release or many people have the impression that poisonings happen only to children.', 'When it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall is true, it follows that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night.', 'Should it be the case that most likely females choose mates based on their hunting ability, it follows that thai salads containing fruit, vegetables, and fish, fisheries are good for the skin and body.', 'If thai salads containing fruit, vegetables, and fish, fisheries are good for the skin and body, then if many grasses are short , but some grasses , like bamboo can grow very tall , then we know that the claim that if ecosystems consist of various components, then synapses are therefore capable of linearly transmitting presynaptic release is false.', 'Should it be the case that hermit crabs rely on aban- doned snail shells for protection, it follows that most likely females choose mates based on their hunting ability.', 'The statement that states hermit crabs rely on aban- doned snail shells for protection is right.', 'Provided that it is a common misconception that if it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall , then the claim that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night is false, we know that seasonings play an important role in Malay cooking as they often enhance the food taste and flavors.', 'Should it be the case that it is a common misconception that if it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall , then the claim that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night is false, it follows that those that suggest seasonings play an important role in Malay cooking as they often enhance the food taste and flavors are wrong.']
|
It is rational to believe that either if ecosystems consist of various components, then synapses are therefore capable of linearly transmitting presynaptic release or many people have the impression that poisonings happen only to children. When it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall is true, it follows that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night. Should it be the case that most likely females choose mates based on their hunting ability, it follows that thai salads containing fruit, vegetables, and fish, fisheries are good for the skin and body. If thai salads containing fruit, vegetables, and fish, fisheries are good for the skin and body, then if many grasses are short , but some grasses , like bamboo can grow very tall , then we know that the claim that if ecosystems consist of various components, then synapses are therefore capable of linearly transmitting presynaptic release is false. Should it be the case that hermit crabs rely on aban- doned snail shells for protection, it follows that most likely females choose mates based on their hunting ability. The statement that states hermit crabs rely on aban- doned snail shells for protection is right. Provided that it is a common misconception that if it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall , then the claim that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night is false, we know that seasonings play an important role in Malay cooking as they often enhance the food taste and flavors. Should it be the case that it is a common misconception that if it is a common misconception that many grasses are short , but some grasses , like bamboo can grow very tall , then the claim that rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night is false, it follows that those that suggest seasonings play an important role in Malay cooking as they often enhance the food taste and flavors are wrong.
|
Those that suggest many people have the impression that poisonings happen only to children are right.
|
Those that suggest many people have the impression that poisonings happen only to children are right.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [3], then (Not (If [1], then [2].).). [SC1-2]
[3] [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [5], then (If [3], then (Not (If [1], then [2].).).). [SC1-3]
[5] [SC2-3]
Therefore, If [3], then (Not (If [1], then [2].).)..
[SC1-3]
Hypothetical Syllogism:
If [5], then [8].
If [8], then (If [3], then (Not (If [1], then [2].).).).
Therefore, If [5], then (If [3], then (Not (If [1], then [2].).).)..
[SC2-3]
Modus Ponens:
If [6], then [5].
[6]
Therefore, [5].
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [4].
If (Not [3].), then (Not [4].). [SC2-3]
Therefore, [3].
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then (Not [4].).).), then [7].
If (Not (If (Not [3].), then (Not [4].).).), then (Not [7].).
Therefore, If (Not [3].), then (Not [4].)..
|
{0: 'Many people have the impression that poisonings happen only to children.', 1: 'Ecosystems consist of various components.', 2: 'Synapses are therefore capable of linearly transmitting presynaptic release.', 3: 'Many grasses are short , but some grasses , like bamboo can grow very tall .', 4: 'Rods are highly sensitive photoreceptors and are used for vision under dark-dim conditions at night.', 5: 'Most likely females choose mates based on their hunting ability.', 6: 'Hermit crabs rely on aban- doned snail shells for protection.', 7: 'Seasonings play an important role in Malay cooking as they often enhance the food taste and flavors.', 8: 'Thai salads containing fruit, vegetables, and fish, fisheries are good for the skin and body.'}
| 7 |
6,386 |
['Once we know it is a common misconception that diplomatic precedence is the result of international agreement, we also know that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power.', 'We know that the claim that either weak acids are weak electrolytes or cars have (part) gear levers is false.', 'Either some insects have air sacs or if it is not the case that if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then children are especially at risk when pesticides are used in their living areas, then many teenage moms turn to abortion as an answer for becoming pregnant.', 'The claim that some insects have air sacs is false.', 'Either one or both of these statements are true: reservoirs increase the reliability of local water supplies, or if it is not the case that if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then children are especially at risk when pesticides are used in their living areas, then the claim that many teenage moms turn to abortion as an answer for becoming pregnant has no merit.', 'The statement that states reservoirs increase the reliability of local water supplies is false.', "There is good reason to believe that either documents contain instruction or if those that suggest if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then the statement that 'children are especially at risk when pesticides are used in their living areas' is incorrect are wrong, then either weak acids are weak electrolytes or cars have (part) gear levers.", 'The claim that documents contain instruction is false.']
|
Once we know it is a common misconception that diplomatic precedence is the result of international agreement, we also know that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power. We know that the claim that either weak acids are weak electrolytes or cars have (part) gear levers is false. Either some insects have air sacs or if it is not the case that if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then children are especially at risk when pesticides are used in their living areas, then many teenage moms turn to abortion as an answer for becoming pregnant. The claim that some insects have air sacs is false. Either one or both of these statements are true: reservoirs increase the reliability of local water supplies, or if it is not the case that if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then children are especially at risk when pesticides are used in their living areas, then the claim that many teenage moms turn to abortion as an answer for becoming pregnant has no merit. The statement that states reservoirs increase the reliability of local water supplies is false. There is good reason to believe that either documents contain instruction or if those that suggest if it is not true that if it is a common misconception that diplomatic precedence is the result of international agreement, then the claim that if male bluegills build and guard nests in shallow water near stumps and logs, then power marketer a nongenerating company that buys and sells power has no merit, then the statement that 'children are especially at risk when pesticides are used in their living areas' is incorrect are wrong, then either weak acids are weak electrolytes or cars have (part) gear levers. The claim that documents contain instruction is false.
|
Many people rightly believe that diplomatic precedence is the result of international agreement.
|
Harvest is a manufacturing process.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].).
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3]. [SC1-2]
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then [4]. [SC1-3]
If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then (Not [4].). [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then [4].).
Not [8].
Therefore, If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then (Not [4].).).
Not [9].
Therefore, If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].).), then (Not [4].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].).).), then (Either [5] or [6].). [SC1-3]
Not (Either [5] or [6].).
Therefore, If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].).).), then (Either [5] or [6].).).
Not [7].
Therefore, If (Not (If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].).).), then (Either [5] or [6].)..
|
{0: 'Diplomatic precedence is the result of international agreement.', 1: 'Male bluegills build and guard nests in shallow water near stumps and logs.', 2: 'Power marketer a nongenerating company that buys and sells power.', 3: 'Children are especially at risk when pesticides are used in their living areas.', 4: 'Many teenage moms turn to abortion as an answer for becoming pregnant.', 5: 'Weak acids are weak electrolytes .', 6: 'Cars have (part) gear levers.', 7: 'Documents contain instruction.', 8: 'Some insects have air sacs.', 9: 'Reservoirs increase the reliability of local water supplies.'}
| 7 |
6,982 |
['At least one of two things is true: some environments help heat, or if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then heart failure occurs when the heart loses the ability to pump blood efficiently through the body.', 'The claim that some environments help heat has no merit.', 'One may reasonably assume that if the claim that if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then weather is a factor that dramatically impacts natural gas bills does not correspond with reality, then either most mothers raise babies or most healthy people recover within a few days without specific treatment.', 'One may reasonably assume that if the claim that if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then weather is a factor that dramatically impacts natural gas bills does not correspond with reality, then the claim that either most mothers raise babies or most healthy people recover within a few days without specific treatment is false.', 'The claim that diatoms are key members of the plant plankton holds true.', "Provided that most whales find in water, we know that if diatoms are key members of the plant plankton, then if weather is a factor that dramatically impacts natural gas bills, then the statement that 'heart failure occurs when the heart loses the ability to pump blood efficiently through the body' is incorrect.", "Once we know interstellar ions can reach up to twice the solar wind velocity after they are picked up, we also know that if diatoms are key members of the plant plankton, then if weather is a factor that dramatically impacts natural gas bills, then the statement that 'heart failure occurs when the heart loses the ability to pump blood efficiently through the body' is incorrect.", 'On the condition that prime candidates are pyroxene and olivine , minerals rich in iron and common in basalts, it is definitely the case that either most whales find in water or interstellar ions can reach up to twice the solar wind velocity after they are picked up.', 'It is fair to say that prime candidates are pyroxene and olivine , minerals rich in iron and common in basalts.']
|
At least one of two things is true: some environments help heat, or if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then heart failure occurs when the heart loses the ability to pump blood efficiently through the body. The claim that some environments help heat has no merit. One may reasonably assume that if the claim that if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then weather is a factor that dramatically impacts natural gas bills does not correspond with reality, then either most mothers raise babies or most healthy people recover within a few days without specific treatment. One may reasonably assume that if the claim that if the claim that asexual reproduction is when one parent plant creates clones of itself is false, then weather is a factor that dramatically impacts natural gas bills does not correspond with reality, then the claim that either most mothers raise babies or most healthy people recover within a few days without specific treatment is false. The claim that diatoms are key members of the plant plankton holds true. Provided that most whales find in water, we know that if diatoms are key members of the plant plankton, then if weather is a factor that dramatically impacts natural gas bills, then the statement that 'heart failure occurs when the heart loses the ability to pump blood efficiently through the body' is incorrect. Once we know interstellar ions can reach up to twice the solar wind velocity after they are picked up, we also know that if diatoms are key members of the plant plankton, then if weather is a factor that dramatically impacts natural gas bills, then the statement that 'heart failure occurs when the heart loses the ability to pump blood efficiently through the body' is incorrect. On the condition that prime candidates are pyroxene and olivine , minerals rich in iron and common in basalts, it is definitely the case that either most whales find in water or interstellar ions can reach up to twice the solar wind velocity after they are picked up. It is fair to say that prime candidates are pyroxene and olivine , minerals rich in iron and common in basalts.
|
It is reasonable to believe that asexual reproduction is when one parent plant creates clones of itself.
|
It is reasonable to believe that asexual reproduction is when one parent plant creates clones of itself.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].).
Not [2].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (Not [1].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [3].).), then (Either [4] or [5].).
If (Not (If (Not [0].), then [3].).), then (Not (Either [4] or [5].).).
Therefore, If (Not [0].), then [3]..
[SC2-2]
Modus Ponens:
If [6], then (If [3], then (Not [1].).). [SC1-3]
[6]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either [7] or [8]. [SC1-4]
If [7], then (If [6], then (If [3], then (Not [1].).).).
If [8], then (If [6], then (If [3], then (Not [1].).).).
Therefore, If [6], then (If [3], then (Not [1].).)..
[SC1-4]
Modus Ponens:
If [9], then (Either [7] or [8].).
[9]
Therefore, Either [7] or [8]..
|
{0: 'Asexual reproduction is when one parent plant creates clones of itself.', 1: 'Heart failure occurs when the heart loses the ability to pump blood efficiently through the body.', 2: 'Some environments help heat.', 3: 'Weather is a factor that dramatically impacts natural gas bills.', 4: 'Most mothers raise babies.', 5: 'Most healthy people recover within a few days without specific treatment.', 6: 'Diatoms are key members of the plant plankton.', 7: 'Most whales find in water.', 8: 'Interstellar ions can reach up to twice the solar wind velocity after they are picked up.', 9: 'Prime candidates are pyroxene and olivine , minerals rich in iron and common in basalts.'}
| 7 |
6,909 |
["So long as the statement 'either either artificial sweeteners can trigger a migraine or techniques involve observations or the claim that bandicoots are protected in all states of Australia does not correspond with reality' can be considered false, 'women seem to prefer more masculine male faces when they are mid-cycle and most likely to conceive' is true.", "Whenever it is true that the statement 'either either artificial sweeteners can trigger a migraine or techniques involve observations or the claim that bandicoots are protected in all states of Australia does not correspond with reality' can be considered false, 'those that suggest women seem to prefer more masculine male faces when they are mid-cycle and most likely to conceive are wrong' is true.", 'Assuming most women maintain diets, we know that the claim that either artificial sweeteners can trigger a migraine or techniques involve observations does not reflect reality.', 'It is rational to believe that either some children are hyperactive and have trouble paying attention or following directions or either atoms store a lot of potential energy or some religious institutions have entire departments devoted to raising funds.', 'Assuming some children are hyperactive and have trouble paying attention or following directions, we know that either figs never grow on thorn bushes or grapes on bramble bushes or most women maintain diets.', 'Assuming either atoms store a lot of potential energy or some religious institutions have entire departments devoted to raising funds, we know that either figs never grow on thorn bushes or grapes on bramble bushes or most women maintain diets.', 'One may reasonably assume that if figs never grow on thorn bushes or grapes on bramble bushes, then either hypospadiac meatus is located in the penoscrotal position or laboratory experiments demonstrate effects.', "So long as social ostracism is a threat to the teenager's sexual self-image, 'if figs never grow on thorn bushes or grapes on bramble bushes, then the statement that states either hypospadiac meatus is located in the penoscrotal position or laboratory experiments demonstrate effects is false' is true.", "The statement 'social ostracism is a threat to the teenager's sexual self-image' can be considered true."]
|
So long as the statement 'either either artificial sweeteners can trigger a migraine or techniques involve observations or the claim that bandicoots are protected in all states of Australia does not correspond with reality' can be considered false, 'women seem to prefer more masculine male faces when they are mid-cycle and most likely to conceive' is true. Whenever it is true that the statement 'either either artificial sweeteners can trigger a migraine or techniques involve observations or the claim that bandicoots are protected in all states of Australia does not correspond with reality' can be considered false, 'those that suggest women seem to prefer more masculine male faces when they are mid-cycle and most likely to conceive are wrong' is true. Assuming most women maintain diets, we know that the claim that either artificial sweeteners can trigger a migraine or techniques involve observations does not reflect reality. It is rational to believe that either some children are hyperactive and have trouble paying attention or following directions or either atoms store a lot of potential energy or some religious institutions have entire departments devoted to raising funds. Assuming some children are hyperactive and have trouble paying attention or following directions, we know that either figs never grow on thorn bushes or grapes on bramble bushes or most women maintain diets. Assuming either atoms store a lot of potential energy or some religious institutions have entire departments devoted to raising funds, we know that either figs never grow on thorn bushes or grapes on bramble bushes or most women maintain diets. One may reasonably assume that if figs never grow on thorn bushes or grapes on bramble bushes, then either hypospadiac meatus is located in the penoscrotal position or laboratory experiments demonstrate effects. So long as social ostracism is a threat to the teenager's sexual self-image, 'if figs never grow on thorn bushes or grapes on bramble bushes, then the statement that states either hypospadiac meatus is located in the penoscrotal position or laboratory experiments demonstrate effects is false' is true. The statement 'social ostracism is a threat to the teenager's sexual self-image' can be considered true.
|
The claim that bandicoots are protected in all states of Australia does not correspond with reality.
|
The claim that bandicoots are protected in all states of Australia does not correspond with reality.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then (Not [3].).
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC2-1]
Modus Ponens:
If [4], then (Not (Either [1] or [2].).).
[4] [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [4]. [SC1-3]
Not [5]. [SC2-3]
Therefore, [4].
[SC1-3]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (Either [5] or [4].).
If (Either [9] or [10].), then (Either [5] or [4].).
Therefore, Either [5] or [4]..
[SC2-3]
Reductio Ad Absurdum:
If [5], then (Either [6] or [7].).
If [5], then (Not (Either [6] or [7].).). [SC2-4]
Therefore, Not [5]..
[SC2-4]
Modus Ponens:
If [11], then (If [5], then (Not (Either [6] or [7].).).).
[11]
Therefore, If [5], then (Not (Either [6] or [7].).)..
|
{0: 'Bandicoots are protected in all states of Australia.', 1: 'Artificial sweeteners can trigger a migraine.', 2: 'Techniques involve observations.', 3: 'Women seem to prefer more masculine male faces when they are mid-cycle and most likely to conceive.', 4: 'Most women maintain diets.', 5: 'Figs never grow on thorn bushes or grapes on bramble bushes.', 6: 'Hypospadiac meatus is located in the penoscrotal position.', 7: 'Laboratory experiments demonstrate effects.', 8: 'Some children are hyperactive and have trouble paying attention or following directions.', 9: 'Atoms store a lot of potential energy.', 10: 'Some religious institutions have entire departments devoted to raising funds.', 11: "Social ostracism is a threat to the teenager's sexual self-image."}
| 7 |
6,693 |
['Provided that some crocodiles live up to years, we know that if alligators lay hard-shelled, almost porcelain like eggs, then if birds are very sensitive to air quality, then the statement, brain cells come and brain cells go but fat cells live forever, does not hold.', 'It is a simple truth that some crocodiles live up to years.', 'Should it be the case that the claim that alligators lay hard-shelled, almost porcelain like eggs does not reflect reality, it follows that myrtles dislike having their roots wet for too long.', 'Given that the claim that alligators lay hard-shelled, almost porcelain like eggs does not reflect reality, it can be inferred that the claim that myrtles dislike having their roots wet for too long has no merit.', 'There is good reason to believe that either some ladybirds feed on spider mites or if the statement, birds are very sensitive to air quality, does not hold, then if most possums have thumbs, then astronomers use two basic techniques to measure distances.', 'It is not the case that some ladybirds feed on spider mites.', 'Should it be the case that if most possums have thumbs, then astronomers use two basic techniques to measure distances, it follows that if pupils have (part) necks, then worms are screws.', "So long as if most possums have thumbs, then astronomers use two basic techniques to measure distances, 'we know that the claim that if pupils have (part) necks, then worms are screws is false' is true."]
|
Provided that some crocodiles live up to years, we know that if alligators lay hard-shelled, almost porcelain like eggs, then if birds are very sensitive to air quality, then the statement, brain cells come and brain cells go but fat cells live forever, does not hold. It is a simple truth that some crocodiles live up to years. Should it be the case that the claim that alligators lay hard-shelled, almost porcelain like eggs does not reflect reality, it follows that myrtles dislike having their roots wet for too long. Given that the claim that alligators lay hard-shelled, almost porcelain like eggs does not reflect reality, it can be inferred that the claim that myrtles dislike having their roots wet for too long has no merit. There is good reason to believe that either some ladybirds feed on spider mites or if the statement, birds are very sensitive to air quality, does not hold, then if most possums have thumbs, then astronomers use two basic techniques to measure distances. It is not the case that some ladybirds feed on spider mites. Should it be the case that if most possums have thumbs, then astronomers use two basic techniques to measure distances, it follows that if pupils have (part) necks, then worms are screws. So long as if most possums have thumbs, then astronomers use two basic techniques to measure distances, 'we know that the claim that if pupils have (part) necks, then worms are screws is false' is true.
|
The statement, brain cells come and brain cells go but fat cells live forever, does not hold.
|
The statement 'brain cells come and brain cells go but fat cells live forever' can be considered true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [4], then (If [1], then (Not [0].).). [SC1-2]
[4] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (If [4], then (If [1], then (Not [0].).).).
[5]
Therefore, If [4], then (If [1], then (Not [0].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [9].
If (Not [4].), then (Not [9].).
Therefore, [4].
[SC2-1]
Modus Tonens:
If (Not [1].), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not [1].), then (If [2], then [3].).).
Not [6].
Therefore, If (Not [1].), then (If [2], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (If [2], then [3].), then (If [7], then [8].).
If (If [2], then [3].), then (Not (If [7], then [8].).).
Therefore, Not (If [2], then [3].)..
|
{0: 'Brain cells come and brain cells go but fat cells live forever.', 1: 'Birds are very sensitive to air quality.', 2: 'Most possums have thumbs.', 3: 'Astronomers use two basic techniques to measure distances.', 4: 'Alligators lay hard-shelled, almost porcelain like eggs.', 5: 'Some crocodiles live up to years.', 6: 'Some ladybirds feed on spider mites.', 7: 'Pupils have (part) necks.', 8: 'Worms are screws.', 9: 'Myrtles dislike having their roots wet for too long.'}
| 7 |
6,236 |
['There is good reason to believe that either blastomycosis is a rare fungal infection or some desert willows produce pink flowers.', 'It is fair to say that plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry.', 'At least one of two things is true: either coconut oil has benefits or alder hybrids appear to be common, much as the classic swarm of Picea , or either octopuses are efficient hunters, with crabs, lobsters, and shrimps among their favorite dishes or reaction requires energy.', "Once we know either coconut oil has benefits or alder hybrids appear to be common, much as the classic swarm of Picea , we also know that if the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, then company registration allows employers to quickly and easily post and manage their jobs.", "On the condition that the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, it is definitely the case that hares hold their young seven to ten days longer.", 'One may reasonably assume that if hares hold their young seven to ten days longer, then some people mistakenly believe that company registration allows employers to quickly and easily post and manage their jobs.', "There is good reason to believe that either worshippers are located in churchs or if either octopuses are efficient hunters, with crabs, lobsters, and shrimps among their favorite dishes or reaction requires energy, then if the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, then company registration allows employers to quickly and easily post and manage their jobs.", "One may reasonably assume that if either phenol helps lower the risk by preventing fat-like substances from oxidizing and clogging arteries or funguses are located in nature, then the statement that 'worshippers are located in churchs' is incorrect.", 'There is good reason to believe that either phenol helps lower the risk by preventing fat-like substances from oxidizing and clogging arteries or funguses are located in nature.']
|
There is good reason to believe that either blastomycosis is a rare fungal infection or some desert willows produce pink flowers. It is fair to say that plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry. At least one of two things is true: either coconut oil has benefits or alder hybrids appear to be common, much as the classic swarm of Picea , or either octopuses are efficient hunters, with crabs, lobsters, and shrimps among their favorite dishes or reaction requires energy. Once we know either coconut oil has benefits or alder hybrids appear to be common, much as the classic swarm of Picea , we also know that if the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, then company registration allows employers to quickly and easily post and manage their jobs. On the condition that the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, it is definitely the case that hares hold their young seven to ten days longer. One may reasonably assume that if hares hold their young seven to ten days longer, then some people mistakenly believe that company registration allows employers to quickly and easily post and manage their jobs. There is good reason to believe that either worshippers are located in churchs or if either octopuses are efficient hunters, with crabs, lobsters, and shrimps among their favorite dishes or reaction requires energy, then if the statement 'if plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry, then it is not true that blastomycosis is a rare fungal infection' can be considered false, then company registration allows employers to quickly and easily post and manage their jobs. One may reasonably assume that if either phenol helps lower the risk by preventing fat-like substances from oxidizing and clogging arteries or funguses are located in nature, then the statement that 'worshippers are located in churchs' is incorrect. There is good reason to believe that either phenol helps lower the risk by preventing fat-like substances from oxidizing and clogging arteries or funguses are located in nature.
|
It is the case that some desert willows produce pink flowers.
|
Some desert willows produce flowers.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [1].).).), then [3]. [SC1-3]
If (Not (If [2], then (Not [1].).).), then (Not [3].). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either (Either [5] or [6].) or (Either [7] or [8].).
If (Either [5] or [6].), then (If (Not (If [2], then (Not [1].).).), then [3].).
If (Either [7] or [8].), then (If (Not (If [2], then (Not [1].).).), then [3].). [SC3-4]
Therefore, If (Not (If [2], then (Not [1].).).), then [3]..
[SC3-4]
Disjunctive Syllogism:
Either [9] or (If (Either [7] or [8].), then (If (Not (If [2], then (Not [1].).).), then [3].).).
Not [9]. [SC2-5]
Therefore, If (Either [7] or [8].), then (If (Not (If [2], then (Not [1].).).), then [3].)..
[SC2-5]
Modus Ponens:
If (Either [10] or [11].), then (Not [9].).
Either [10] or [11].
Therefore, Not [9]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [2], then (Not [1].).).), then [4].
If [4], then (Not [3].).
Therefore, If (Not (If [2], then (Not [1].).).), then (Not [3].)..
|
{0: 'Some desert willows produce pink flowers.', 1: 'Blastomycosis is a rare fungal infection.', 2: 'Plutonium is used to fuel nuclear submarines and the nuclear tipped missiles that they carry.', 3: 'Company registration allows employers to quickly and easily post and manage their jobs.', 4: 'Hares hold their young seven to ten days longer.', 5: 'Coconut oil has benefits.', 6: 'Alder hybrids appear to be common, much as the classic swarm of Picea .', 7: 'Octopuses are efficient hunters, with crabs, lobsters, and shrimps among their favorite dishes.', 8: 'Reaction requires energy.', 9: 'Worshippers are located in churchs.', 10: 'Phenol helps lower the risk by preventing fat-like substances from oxidizing and clogging arteries.', 11: 'Funguses are located in nature.'}
| 7 |
6,501 |
['At least one of two things is true: a nozzle is a spout, or most compounds have bonds.', 'Provided that most compounds have bonds, we know that young lambs are a grayish coloration with soft hooves and a black-brown tail.', 'Either infected twigs exude creamy bacterial ooze in droplets or fine, hair-like strands or some mountain goats have strong tendencies.', 'Should it be the case that infected twigs exude creamy bacterial ooze in droplets or fine, hair-like strands, it follows that if a nozzle is a spout, then young lambs are a grayish coloration with soft hooves and a black-brown tail.', 'It is not true that water conservation is the wise use of our resource to ensure an adequate supply.', 'It is a common misconception that either flight attendants are located in planes or dirt is the giver of life.', 'Assuming most excretion removes waste, we know that either water conservation is the wise use of our resource to ensure an adequate supply or either dance is movement poetry, which the audience receives visually and feels in their body or if some mountain goats have strong tendencies, then if a nozzle is a spout, then young lambs are a grayish coloration with soft hooves and a black-brown tail.', 'It is reasonable to believe that most excretion removes waste.', 'It is a fact that either if music is an important part of development and expression, then wolves follow caribou or either either flight attendants are located in planes or dirt is the giver of life or the statement, dance is movement poetry, which the audience receives visually and feels in their body, does not hold.', 'The claim that if music is an important part of development and expression, then wolves follow caribou does not reflect reality.']
|
At least one of two things is true: a nozzle is a spout, or most compounds have bonds. Provided that most compounds have bonds, we know that young lambs are a grayish coloration with soft hooves and a black-brown tail. Either infected twigs exude creamy bacterial ooze in droplets or fine, hair-like strands or some mountain goats have strong tendencies. Should it be the case that infected twigs exude creamy bacterial ooze in droplets or fine, hair-like strands, it follows that if a nozzle is a spout, then young lambs are a grayish coloration with soft hooves and a black-brown tail. It is not true that water conservation is the wise use of our resource to ensure an adequate supply. It is a common misconception that either flight attendants are located in planes or dirt is the giver of life. Assuming most excretion removes waste, we know that either water conservation is the wise use of our resource to ensure an adequate supply or either dance is movement poetry, which the audience receives visually and feels in their body or if some mountain goats have strong tendencies, then if a nozzle is a spout, then young lambs are a grayish coloration with soft hooves and a black-brown tail. It is reasonable to believe that most excretion removes waste. It is a fact that either if music is an important part of development and expression, then wolves follow caribou or either either flight attendants are located in planes or dirt is the giver of life or the statement, dance is movement poetry, which the audience receives visually and feels in their body, does not hold. The claim that if music is an important part of development and expression, then wolves follow caribou does not reflect reality.
|
It is fair to say that young lambs are a grayish coloration with soft hooves and a black-brown tail.
|
It is a common misconception that young lambs are a grayish coloration with soft hooves and a black-brown tail.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [0].).
If [4], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Disjunctive Syllogism:
Either [5] or (If [4], then (If [1], then [0].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [4], then (If [1], then [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [5] or (If [4], then (If [1], then [0].).).). [SC1-4]
Not [6].
Therefore, Either [5] or (If [4], then (If [1], then [0].).)..
[SC1-4]
Modus Ponens:
If [11], then (Either [6] or (Either [5] or (If [4], then (If [1], then [0].).).).).
[11]
Therefore, Either [6] or (Either [5] or (If [4], then (If [1], then [0].).).)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Not [5].). [SC1-4]
Not (Either [7] or [8].).
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either (If [9], then [10].) or (Either (Either [7] or [8].) or (Not [5].).).
Not (If [9], then [10].).
Therefore, Either (Either [7] or [8].) or (Not [5].)..
|
{0: 'Young lambs are a grayish coloration with soft hooves and a black-brown tail.', 1: 'A nozzle is a spout.', 2: 'Most compounds have bonds.', 3: 'Infected twigs exude creamy bacterial ooze in droplets or fine, hair-like strands.', 4: 'Some mountain goats have strong tendencies.', 5: 'Dance is movement poetry, which the audience receives visually and feels in their body.', 6: 'Water conservation is the wise use of our resource to ensure an adequate supply.', 7: 'Flight attendants are located in planes.', 8: 'Dirt is the giver of life.', 9: 'Music is an important part of development and expression.', 10: 'Wolves follow caribou.', 11: 'Most excretion removes waste.'}
| 7 |
6,497 |
['Should it be the case that it is a common misconception that either either ribosomes are protein-building factories or reproduction is asexual or sexual or myths invest life with meaning, it follows that historical atlases contain maps that show historical information.', "So long as it is a common misconception that either either ribosomes are protein-building factories or reproduction is asexual or sexual or myths invest life with meaning, 'we know that the claim that historical atlases contain maps that show historical information is false' is true.", 'Either one or both of these statements are true: color schemes are combinations, or either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly.', 'If color schemes are combinations, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body.', "Whenever it is true that a cesarian section is an obstetrical delivery, 'if myths invest life with meaning, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is true.", 'When if most hookworms live in intestines, then most porpoises have lower jaws is true, it follows that if myths invest life with meaning, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body.', "Given that the statement that 'if either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is incorrect, it can be inferred that the claim that prostate cancer is the most common non-skin cancer for males in western countries does not reflect reality.", 'We know that at least one of two things is true: if mutual forbearance is to be exercised by individuals within the church toward one another, then oral history is an important part of African-American culture, or either a cesarian section is an obstetrical delivery or if most hookworms live in intestines, then most porpoises have lower jaws.', 'It is not true that if mutual forbearance is to be exercised by individuals within the church toward one another, then oral history is an important part of African-American culture.', "Whenever it is true that the statement that 'if either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is incorrect, 'jasmine tea has floral aroma' is true.", 'On the condition that jasmine tea has floral aroma, it is definitely the case that prostate cancer is the most common non-skin cancer for males in western countries.']
|
Should it be the case that it is a common misconception that either either ribosomes are protein-building factories or reproduction is asexual or sexual or myths invest life with meaning, it follows that historical atlases contain maps that show historical information. So long as it is a common misconception that either either ribosomes are protein-building factories or reproduction is asexual or sexual or myths invest life with meaning, 'we know that the claim that historical atlases contain maps that show historical information is false' is true. Either one or both of these statements are true: color schemes are combinations, or either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly. If color schemes are combinations, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body. Whenever it is true that a cesarian section is an obstetrical delivery, 'if myths invest life with meaning, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is true. When if most hookworms live in intestines, then most porpoises have lower jaws is true, it follows that if myths invest life with meaning, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body. Given that the statement that 'if either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is incorrect, it can be inferred that the claim that prostate cancer is the most common non-skin cancer for males in western countries does not reflect reality. We know that at least one of two things is true: if mutual forbearance is to be exercised by individuals within the church toward one another, then oral history is an important part of African-American culture, or either a cesarian section is an obstetrical delivery or if most hookworms live in intestines, then most porpoises have lower jaws. It is not true that if mutual forbearance is to be exercised by individuals within the church toward one another, then oral history is an important part of African-American culture. Whenever it is true that the statement that 'if either afibrinogenemia is the complete absence of fibrinogen or mitotic cells synthesize DNA rapidly, then if either ribosomes are protein-building factories or reproduction is asexual or sexual, then if companion animals are easily susceptible to frostbite, then diets based on catabolic foods result in staggering weight losses of pure fat from the body' is incorrect, 'jasmine tea has floral aroma' is true. On the condition that jasmine tea has floral aroma, it is definitely the case that prostate cancer is the most common non-skin cancer for males in western countries.
|
On the condition that companion animals are easily susceptible to frostbite, it is definitely the case that diets based on catabolic foods result in staggering weight losses of pure fat from the body.
|
On the condition that companion animals suffer from a variety of infectious diseases, it is definitely the case that diets based on catabolic foods result in staggering weight losses of pure fat from the body.
|
Uncertain
|
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-1]
If (Either [2] or [3].), then (If [0], then [1].). [SC2-1]
If [4], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or [4].).), then [8].
If (Not (Either (Either [2] or [3].) or [4].).), then (Not [8].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-1]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If (Either [2] or [3].), then (If [0], then [1].).).
If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).). [SC3-2]
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).).).), then [12]. [SC1-3]
If (Not (If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).).).), then (Not [12].).
Therefore, If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).).).), then [15].
If [15], then [12].
Therefore, If (Not (If (Either [10] or [11].), then (If (Either [2] or [3].), then (If [0], then [1].).).).), then [12]..
[SC3-1]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-2]
If [5], then (If [4], then (If [0], then [1].).).
If (If [6], then [7].), then (If [4], then (If [0], then [1].).).
Therefore, If [4], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [13], then [14].) or (Either [5] or (If [6], then [7].).).
Not (If [13], then [14].).
Therefore, Either [5] or (If [6], then [7].)..
|
{0: 'Companion animals are easily susceptible to frostbite.', 1: 'Diets based on catabolic foods result in staggering weight losses of pure fat from the body.', 2: 'Ribosomes are protein-building factories.', 3: 'Reproduction is asexual or sexual.', 4: 'Myths invest life with meaning.', 5: 'A cesarian section is an obstetrical delivery.', 6: 'Most hookworms live in intestines.', 7: 'Most porpoises have lower jaws.', 8: 'Historical atlases contain maps that show historical information.', 9: 'Color schemes are combinations.', 10: 'Afibrinogenemia is the complete absence of fibrinogen.', 11: 'Mitotic cells synthesize DNA rapidly.', 12: 'Prostate cancer is the most common non-skin cancer for males in western countries.', 13: 'Mutual forbearance is to be exercised by individuals within the church toward one another.', 14: 'Oral history is an important part of African-American culture.', 15: 'Jasmine tea has floral aroma.'}
| 7 |
6,874 |
["If it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then the notion that 'either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is untrue.", "So long as competence is measured by developmental milestones that change over time, 'if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis' is true.", "Assuming we know that the claim that if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some people mistakenly believe that some cytokinesis is part of mitosis is false, we know that most foraging preferences are associated with the low-intensity rearing of sheep and cattle.", 'Should it be the case that it is not the case that either some foxes reside in homes or competence is measured by developmental milestones that change over time, it follows that social studies deals with Africa and Asia.', 'If it is not the case that either some foxes reside in homes or competence is measured by developmental milestones that change over time, then the claim that social studies deals with Africa and Asia does not reflect reality.', "So long as the claim that if some foxes reside in homes, then if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis has no merit, 'smallpox is eradicated as a disease through a worldwide vaccination program' is true.", "If the claim that if some foxes reside in homes, then if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis has no merit, then the claim that smallpox is eradicated as a disease through a worldwide vaccination program does not reflect reality.", 'Assuming most foraging preferences are associated with the low-intensity rearing of sheep and cattle, we know that cold stress is a condition similar to frostbite.', 'Given that most foraging preferences are associated with the low-intensity rearing of sheep and cattle, it can be inferred that the claim that cold stress is a condition similar to frostbite does not correspond with reality.']
|
If it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then the notion that 'either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is untrue. So long as competence is measured by developmental milestones that change over time, 'if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis' is true. Assuming we know that the claim that if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some people mistakenly believe that some cytokinesis is part of mitosis is false, we know that most foraging preferences are associated with the low-intensity rearing of sheep and cattle. Should it be the case that it is not the case that either some foxes reside in homes or competence is measured by developmental milestones that change over time, it follows that social studies deals with Africa and Asia. If it is not the case that either some foxes reside in homes or competence is measured by developmental milestones that change over time, then the claim that social studies deals with Africa and Asia does not reflect reality. So long as the claim that if some foxes reside in homes, then if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis has no merit, 'smallpox is eradicated as a disease through a worldwide vaccination program' is true. If the claim that if some foxes reside in homes, then if the statement that 'if it is not the case that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans, then either apples are pomes or most tigers are tawny brown in color with dark stripes and whitish stomachs' is incorrect, then some cytokinesis is part of mitosis has no merit, then the claim that smallpox is eradicated as a disease through a worldwide vaccination program does not reflect reality. Assuming most foraging preferences are associated with the low-intensity rearing of sheep and cattle, we know that cold stress is a condition similar to frostbite. Given that most foraging preferences are associated with the low-intensity rearing of sheep and cattle, it can be inferred that the claim that cold stress is a condition similar to frostbite does not correspond with reality.
|
It is a fact that either astrolabes are disks marked along the edges with degrees of the circle and with movable pointers or invertebrates also line the trackways, usually attributed to insects and crustaceans.
|
Either astrolabes are scientific instruments used for reckoning time and for observational purposes or invertebrates make up much of the food larger aquatic organisms eat.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then (Either [2] or [3].). [SC1-1]
If (Not (Either [0] or [1].).), then (Not (Either [2] or [3].).).
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then (Not [4].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Either [2] or [3].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4].). [SC2-3]
If [7], then (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or [7].).), then [8].
If (Not (Either [6] or [7].).), then (Not [8].).
Therefore, Either [6] or [7]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4].).).), then [10].
If (Not (If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4].).).), then (Not [10].).
Therefore, If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [4].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then (Not [4].).).), then [5].
Not [5]. [SC2-3]
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then (Not [4].)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [9].
If [5], then (Not [9].).
Therefore, Not [5]..
|
{0: 'Astrolabes are disks marked along the edges with degrees of the circle and with movable pointers.', 1: 'Invertebrates also line the trackways, usually attributed to insects and crustaceans.', 2: 'Apples are pomes.', 3: 'Most tigers are tawny brown in color with dark stripes and whitish stomachs.', 4: 'Some cytokinesis is part of mitosis.', 5: 'Most foraging preferences are associated with the low-intensity rearing of sheep and cattle.', 6: 'Some foxes reside in homes.', 7: 'Competence is measured by developmental milestones that change over time.', 8: 'Social studies deals with Africa and Asia.', 9: 'Cold stress is a condition similar to frostbite.', 10: 'Smallpox is eradicated as a disease through a worldwide vaccination program.'}
| 7 |
6,452 |
['Should it be the case that indian legend refers to the loon as the bird with a broken back, it follows that ringtail lemurs are notorious for their ring spoted tails, sun-bathing, and highly territorial.', 'The statement, ringtail lemurs are notorious for their ring spoted tails, sun-bathing, and highly territorial, does not hold.', "So long as a heroine is a role, 'if moles are units of measurement, then natural capacity is the individual's emotional intelligence' is true.", 'a heroine is a role.', 'It is a fact that either most cougars resemble domestic cats or prunes are dried food.', "When most cougars resemble domestic cats is true, it follows that if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back.", 'There is good reason to believe that either if radar can detect aircraft flying suspicious attack patterns, then sexual harassment can occur anywhere jerks work or plexcom products are network communications products.', "Once we know if radar can detect aircraft flying suspicious attack patterns, then sexual harassment can occur anywhere jerks work, we also know that if prunes are dried food, then if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back.", "Either some materials are paramagnetic or if plexcom products are network communications products, then if prunes are dried food, then if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back.", 'Those that suggest some materials are paramagnetic are wrong.']
|
Should it be the case that indian legend refers to the loon as the bird with a broken back, it follows that ringtail lemurs are notorious for their ring spoted tails, sun-bathing, and highly territorial. The statement, ringtail lemurs are notorious for their ring spoted tails, sun-bathing, and highly territorial, does not hold. So long as a heroine is a role, 'if moles are units of measurement, then natural capacity is the individual's emotional intelligence' is true. a heroine is a role. It is a fact that either most cougars resemble domestic cats or prunes are dried food. When most cougars resemble domestic cats is true, it follows that if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back. There is good reason to believe that either if radar can detect aircraft flying suspicious attack patterns, then sexual harassment can occur anywhere jerks work or plexcom products are network communications products. Once we know if radar can detect aircraft flying suspicious attack patterns, then sexual harassment can occur anywhere jerks work, we also know that if prunes are dried food, then if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back. Either some materials are paramagnetic or if plexcom products are network communications products, then if prunes are dried food, then if natural capacity is the individual's emotional intelligence, then indian legend refers to the loon as the bird with a broken back. Those that suggest some materials are paramagnetic are wrong.
|
The claim that moles are units of measurement has no merit.
|
Moles are units of measurement.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If [0], then [3].).
[4]
Therefore, If [0], then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [1].).
If [6], then (If [3], then [1].). [SC3-3]
Therefore, If [3], then [1]..
[SC3-3]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If [6], then (If [3], then [1].).).
If [9], then (If [6], then (If [3], then [1].).). [SC3-4]
Therefore, If [6], then (If [3], then [1].)..
[SC3-4]
Disjunctive Syllogism:
Either [10] or (If [9], then (If [6], then (If [3], then [1].).).).
Not [10].
Therefore, If [9], then (If [6], then (If [3], then [1].).)..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2].
Therefore, Not [1]..
|
{0: 'Moles are units of measurement.', 1: 'Indian legend refers to the loon as the bird with a broken back.', 2: 'Ringtail lemurs are notorious for their ring spoted tails, sun-bathing, and highly territorial.', 3: "Natural capacity is the individual's emotional intelligence.", 4: 'A heroine is a role.', 5: 'Most cougars resemble domestic cats.', 6: 'Prunes are dried food.', 7: 'Radar can detect aircraft flying suspicious attack patterns.', 8: 'Sexual harassment can occur anywhere jerks work.', 9: 'Plexcom products are network communications products.', 10: 'Some materials are paramagnetic .'}
| 7 |
6,494 |
['Those that suggest a pietism is piety are wrong.', 'There is good reason to believe that either if tsunamis typically cause the most severe damage and casualties very near their source, then nefazodone is a nonhygroscopic, white crystalline solid or power is the freedom for people to be all that they can be.', 'The claim that pacific rainforests boast the greatest biomass of any forest ecosystem does not correspond with reality.', "So long as cobras have (part) chest cavities, 'if if tsunamis typically cause the most severe damage and casualties very near their source, then nefazodone is a nonhygroscopic, white crystalline solid, then if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then the statement 'duckweeds have (part) cytoplasm' can be considered false' is true.", 'The statement that states cobras have (part) chest cavities is right.', 'One may reasonably assume that if power is the freedom for people to be all that they can be, then some zebras have status.', "One may reasonably assume that if some zebras have status, then if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then the statement 'duckweeds have (part) cytoplasm' can be considered false.", 'On the condition that the claim that if the claim that either a pietism is piety or if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then duckweeds have (part) cytoplasm does not reflect reality, then pacific rainforests boast the greatest biomass of any forest ecosystem does not reflect reality, it is definitely the case that either few fish live beyond the fourth year or medicine tos treat illnesses.', 'The claim that either few fish live beyond the fourth year or medicine tos treat illnesses does not correspond with reality.']
|
Those that suggest a pietism is piety are wrong. There is good reason to believe that either if tsunamis typically cause the most severe damage and casualties very near their source, then nefazodone is a nonhygroscopic, white crystalline solid or power is the freedom for people to be all that they can be. The claim that pacific rainforests boast the greatest biomass of any forest ecosystem does not correspond with reality. So long as cobras have (part) chest cavities, 'if if tsunamis typically cause the most severe damage and casualties very near their source, then nefazodone is a nonhygroscopic, white crystalline solid, then if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then the statement 'duckweeds have (part) cytoplasm' can be considered false' is true. The statement that states cobras have (part) chest cavities is right. One may reasonably assume that if power is the freedom for people to be all that they can be, then some zebras have status. One may reasonably assume that if some zebras have status, then if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then the statement 'duckweeds have (part) cytoplasm' can be considered false. On the condition that the claim that if the claim that either a pietism is piety or if the claim that if panic attacks can happen at any time and any place without warning, then electric pianos use electromagnetic pickups to amplify the sound of the strings has no merit, then duckweeds have (part) cytoplasm does not reflect reality, then pacific rainforests boast the greatest biomass of any forest ecosystem does not reflect reality, it is definitely the case that either few fish live beyond the fourth year or medicine tos treat illnesses. The claim that either few fish live beyond the fourth year or medicine tos treat illnesses does not correspond with reality.
|
Whenever it is true that panic attacks can happen at any time and any place without warning, 'electric pianos use electromagnetic pickups to amplify the sound of the strings' is true.
|
Whenever it is true that panic attacks can happen at any time and any place without warning, 'electric pianos use electromagnetic pickups to amplify the sound of the strings' is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not (If [0], then [1].).), then [2].). [SC1-2]
Not [3].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If (Not (If [0], then [1].).), then [2].).).), then [9]. [SC1-3]
Not [9].
Therefore, Either [3] or (If (Not (If [0], then [1].).), then [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [3] or (If (Not (If [0], then [1].).), then [2].).).), then [9].).), then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, If (Not (Either [3] or (If (Not (If [0], then [1].).), then [2].).).), then [9]..
[SC2-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).). [SC2-2]
If [6], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC3-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [8], then (If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).).).
[8]
Therefore, If (If [4], then [5].), then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC3-2]
Hypothetical Syllogism:
If [6], then [7].
If [7], then (If (Not (If [0], then [1].).), then (Not [2].).).
Therefore, If [6], then (If (Not (If [0], then [1].).), then (Not [2].).)..
|
{0: 'Panic attacks can happen at any time and any place without warning.', 1: 'Electric pianos use electromagnetic pickups to amplify the sound of the strings.', 2: 'Duckweeds have (part) cytoplasm.', 3: 'A pietism is piety.', 4: 'Tsunamis typically cause the most severe damage and casualties very near their source.', 5: 'Nefazodone is a nonhygroscopic, white crystalline solid.', 6: 'Power is the freedom for people to be all that they can be.', 7: 'Some zebras have status.', 8: 'Cobras have (part) chest cavities.', 9: 'Pacific rainforests boast the greatest biomass of any forest ecosystem.', 10: 'Few fish live beyond the fourth year.', 11: 'Medicine tos treat illnesses.'}
| 7 |
6,923 |
["Whenever it is true that red foxes can survive in a variety of habitats, 'if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then fraternal twins occur when two separate eggs are fertilized' is true.", 'Either national sovereignty is the life of a nation or red foxes can survive in a variety of habitats.', 'Some people mistakenly believe that national sovereignty is the life of a nation.', 'Either one or both of these statements are true: if solar energy refers primarily to the use of solar radiation for practical ends, then tube worms vary in size depending on where they live, or adult acne can often be more persistent than teenage acne.', 'Provided that if solar energy refers primarily to the use of solar radiation for practical ends, then tube worms vary in size depending on where they live, we know that either some animals enjoy apples or management control is internal control.', 'On the condition that adult acne can often be more persistent than teenage acne, it is definitely the case that either some animals enjoy apples or management control is internal control.', 'It is a fact that either flowers pollinated by birds are usually yellow or red or babies experience many illnesses, small and large, while growing up.', "Should it be the case that flowers pollinated by birds are usually yellow or red, it follows that if some animals enjoy apples, then if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false.", "Once we know babies experience many illnesses, small and large, while growing up, we also know that if some animals enjoy apples, then if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false.", 'Should it be the case that management control is internal control, it follows that either vulcanization is where crude rubber is turned into elastic material or stroke also can happen when the carotid itself is completely blocked.', "Assuming either vulcanization is where crude rubber is turned into elastic material or stroke also can happen when the carotid itself is completely blocked, we know that if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false."]
|
Whenever it is true that red foxes can survive in a variety of habitats, 'if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then fraternal twins occur when two separate eggs are fertilized' is true. Either national sovereignty is the life of a nation or red foxes can survive in a variety of habitats. Some people mistakenly believe that national sovereignty is the life of a nation. Either one or both of these statements are true: if solar energy refers primarily to the use of solar radiation for practical ends, then tube worms vary in size depending on where they live, or adult acne can often be more persistent than teenage acne. Provided that if solar energy refers primarily to the use of solar radiation for practical ends, then tube worms vary in size depending on where they live, we know that either some animals enjoy apples or management control is internal control. On the condition that adult acne can often be more persistent than teenage acne, it is definitely the case that either some animals enjoy apples or management control is internal control. It is a fact that either flowers pollinated by birds are usually yellow or red or babies experience many illnesses, small and large, while growing up. Should it be the case that flowers pollinated by birds are usually yellow or red, it follows that if some animals enjoy apples, then if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false. Once we know babies experience many illnesses, small and large, while growing up, we also know that if some animals enjoy apples, then if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false. Should it be the case that management control is internal control, it follows that either vulcanization is where crude rubber is turned into elastic material or stroke also can happen when the carotid itself is completely blocked. Assuming either vulcanization is where crude rubber is turned into elastic material or stroke also can happen when the carotid itself is completely blocked, we know that if either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites, then the statement 'fraternal twins occur when two separate eggs are fertilized' can be considered false.
|
The claim that either more luminous galaxies are less dense and have much longer relaxation times and more massive BHs or freshwater snails are often hermaphrodites has no merit.
|
We know that the claim that common examples are tetra ethyl lead, aromatics, and oxygenates is false.
|
Uncertain
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If [5], then (If (Either [0] or [1].), then [2].).
[5] [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Either [0] or [1].), then (Not [2].).). [SC2-2]
If [4], then (If (Either [0] or [1].), then (Not [2].).). [SC3-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC1-2]
Disjunction Elimination:
Either (If [11], then [12].) or [13].
If (If [11], then [12].), then (Either [3] or [4].).
If [13], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [3], then (If (Either [0] or [1].), then (Not [2].).).).
If [8], then (If [3], then (If (Either [0] or [1].), then (Not [2].).).).
Therefore, If [3], then (If (Either [0] or [1].), then (Not [2].).)..
[SC3-2]
Hypothetical Syllogism:
If [4], then (Either [9] or [10].).
If (Either [9] or [10].), then (If (Either [0] or [1].), then (Not [2].).).
Therefore, If [4], then (If (Either [0] or [1].), then (Not [2].).)..
|
{0: 'More luminous galaxies are less dense and have much longer relaxation times and more massive BHs.', 1: 'Freshwater snails are often hermaphrodites.', 2: 'Fraternal twins occur when two separate eggs are fertilized.', 3: 'Some animals enjoy apples.', 4: 'Management control is internal control.', 5: 'Red foxes can survive in a variety of habitats.', 6: 'National sovereignty is the life of a nation.', 7: 'Flowers pollinated by birds are usually yellow or red.', 8: 'Babies experience many illnesses, small and large, while growing up.', 9: 'Vulcanization is where crude rubber is turned into elastic material.', 10: 'Stroke also can happen when the carotid itself is completely blocked.', 11: 'Solar energy refers primarily to the use of solar radiation for practical ends.', 12: 'Tube worms vary in size depending on where they live.', 13: 'Adult acne can often be more persistent than teenage acne.'}
| 7 |
6,279 |
['The claim that asexual reproduction is by means of spore productions is false.', 'Either one or both of these statements are true: birds has-part vertebrae, or it is not the case that some nephrons carry urine.', 'It is not the case that birds has-part vertebrae.', "So long as every laser has what is termed a coherence length, 'either legalized prostitution means that state brothels exist in certain areas of each town or either niacin dosage is crucial in initiation of therapy due to the associated flushing or lasers offer new ways to investigate and manipulate cells' is true.", 'It is true that every laser has what is termed a coherence length.', 'We know that at least one of two things is true: smoke Detectors Save Lives, or credit scoring is credit evaluation done by computer rather than banking personnel.', "Provided that smoke Detectors Save Lives, we know that if legalized prostitution means that state brothels exist in certain areas of each town, then either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions.", "Assuming credit scoring is credit evaluation done by computer rather than banking personnel, we know that if legalized prostitution means that state brothels exist in certain areas of each town, then either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions.", 'Once we know either niacin dosage is crucial in initiation of therapy due to the associated flushing or lasers offer new ways to investigate and manipulate cells, we also know that patchs are programs.', "When patchs are programs is true, it follows that either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions."]
|
The claim that asexual reproduction is by means of spore productions is false. Either one or both of these statements are true: birds has-part vertebrae, or it is not the case that some nephrons carry urine. It is not the case that birds has-part vertebrae. So long as every laser has what is termed a coherence length, 'either legalized prostitution means that state brothels exist in certain areas of each town or either niacin dosage is crucial in initiation of therapy due to the associated flushing or lasers offer new ways to investigate and manipulate cells' is true. It is true that every laser has what is termed a coherence length. We know that at least one of two things is true: smoke Detectors Save Lives, or credit scoring is credit evaluation done by computer rather than banking personnel. Provided that smoke Detectors Save Lives, we know that if legalized prostitution means that state brothels exist in certain areas of each town, then either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions. Assuming credit scoring is credit evaluation done by computer rather than banking personnel, we know that if legalized prostitution means that state brothels exist in certain areas of each town, then either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions. Once we know either niacin dosage is crucial in initiation of therapy due to the associated flushing or lasers offer new ways to investigate and manipulate cells, we also know that patchs are programs. When patchs are programs is true, it follows that either some nephrons carry urine or if the claim that martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers does not correspond with reality, then asexual reproduction is by means of spore productions.
|
martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers.
|
Martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-3]
If [4], then (Either [2] or (If (Not [0].), then [1].).). [SC2-3]
If (Either [5] or [6].), then (Either [2] or (If (Not [0].), then [1].).). [SC3-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If [9], then (Either [4] or (Either [5] or [6].).).
[9]
Therefore, Either [4] or (Either [5] or [6].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then (Either [2] or (If (Not [0].), then [1].).).).
If [8], then (If [4], then (Either [2] or (If (Not [0].), then [1].).).).
Therefore, If [4], then (Either [2] or (If (Not [0].), then [1].).)..
[SC3-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then [10].
If [10], then (Either [2] or (If (Not [0].), then [1].).).
Therefore, If (Either [5] or [6].), then (Either [2] or (If (Not [0].), then [1].).)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3].
Therefore, Not [2]..
|
{0: "Martagon lilies are a hybrid which feature dainty, down-facing or turk's cap flowers.", 1: 'Asexual reproduction is by means of spore productions.', 2: 'Some nephrons carry urine.', 3: 'Birds has-part vertebrae.', 4: 'Legalized prostitution means that state brothels exist in certain areas of each town.', 5: 'Niacin dosage is crucial in initiation of therapy due to the associated flushing.', 6: 'Lasers offer new ways to investigate and manipulate cells.', 7: 'Smoke Detectors Save Lives.', 8: 'Credit scoring is credit evaluation done by computer rather than banking personnel.', 9: 'Every laser has what is termed a coherence length.', 10: 'Patchs are programs.'}
| 7 |
6,638 |
['We know that at least one of two things is true: mayflies molt after they hatch, or students cover topics.', "Given that mayflies molt after they hatch, it can be inferred that if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false.", 'When mineralogists study mineral formation, composition, and properties is true, it follows that either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal.', 'Many people rightly believe that mineralogists study mineral formation, composition, and properties.', "Once we know it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, we also know that cetaceans are generally uncommon except along the edges of the region where deeper waters are found.", 'Assuming cetaceans are generally uncommon except along the edges of the region where deeper waters are found, we know that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone.', 'Those that suggest children develop at different rates, some faster than others are wrong.', 'Either water availability is affected in natural and man made disasters or fireflies attract a mate by flashing a signal that is specific to their species.', "One may reasonably assume that if water availability is affected in natural and man made disasters, then either children develop at different rates, some faster than others or if it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, then it is not the case that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone.", "Assuming fireflies attract a mate by flashing a signal that is specific to their species, we know that either children develop at different rates, some faster than others or if it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, then it is not the case that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone."]
|
We know that at least one of two things is true: mayflies molt after they hatch, or students cover topics. Given that mayflies molt after they hatch, it can be inferred that if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false. When mineralogists study mineral formation, composition, and properties is true, it follows that either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal. Many people rightly believe that mineralogists study mineral formation, composition, and properties. Once we know it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, we also know that cetaceans are generally uncommon except along the edges of the region where deeper waters are found. Assuming cetaceans are generally uncommon except along the edges of the region where deeper waters are found, we know that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone. Those that suggest children develop at different rates, some faster than others are wrong. Either water availability is affected in natural and man made disasters or fireflies attract a mate by flashing a signal that is specific to their species. One may reasonably assume that if water availability is affected in natural and man made disasters, then either children develop at different rates, some faster than others or if it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, then it is not the case that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone. Assuming fireflies attract a mate by flashing a signal that is specific to their species, we know that either children develop at different rates, some faster than others or if it is not true that if students cover topics, then if either many men begin during the pregnancy to develop a bond with their child or some inguinal hernias press directly through the floor of the inguinal canal, then the statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false, then it is not the case that if mice also feed on seeds from ALL plants, then osteoblasts are the cells responsible for the formation of bone.
|
The statement 'if sR -Cereal, donut, milk, then polecats mark territory' can be considered false.
|
It is not true that sR is a subsea non-intrusive multiphase flow meter.
|
Uncertain
|
Modus Ponens:
If (Either [2] or [3].), then (Not (If [0], then [1].).). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).
If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).). [SC3-2]
Therefore, If (Either [2] or [3].), then (Not (If [0], then [1].).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (If [7], then [8].). [SC1-3]
If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).). [SC2-3]
Therefore, If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then [10].
If [10], then (If [7], then [8].).
Therefore, If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (If [7], then [8].)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).).). [SC1-4]
Not [9].
Therefore, If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).)..
[SC1-4]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Either [9] or (If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).).).).
If [12], then (Either [9] or (If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).).).).
Therefore, Either [9] or (If (Not (If [5], then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).).), then (Not (If [7], then [8].).).)..
[SC2-1]
Modus Ponens:
If [6], then (Either [2] or [3].).
[6]
Therefore, Either [2] or [3]..
|
{0: 'SR -Cereal, donut, milk.', 1: 'Polecats mark territory.', 2: 'Many men begin during the pregnancy to develop a bond with their child.', 3: 'Some inguinal hernias press directly through the floor of the inguinal canal.', 4: 'Mayflies molt after they hatch.', 5: 'Students cover topics.', 6: 'Mineralogists study mineral formation, composition, and properties.', 7: 'Mice also feed on seeds from ALL plants.', 8: 'Osteoblasts are the cells responsible for the formation of bone.', 9: 'Children develop at different rates, some faster than others.', 10: 'Cetaceans are generally uncommon except along the edges of the region where deeper waters are found.', 11: 'Water availability is affected in natural and man made disasters.', 12: 'Fireflies attract a mate by flashing a signal that is specific to their species.'}
| 7 |
6,485 |
['Either most atmospheres have waves or different chemicals can cause different health problems and have different safe use requirements.', 'When foxs are located in warrens is true, it follows that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then plague is bacterial infection.', 'The statement that states foxs are located in warrens is right.', 'One may reasonably assume that if it is not true that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then the claim that plague is bacterial infection has no merit, then either gold also is used in electronic connectors and dental alloys or blowflies feed on fat diets.', 'On the condition that it is not true that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then the claim that plague is bacterial infection has no merit, it is definitely the case that we know that the claim that either gold also is used in electronic connectors and dental alloys or blowflies feed on fat diets is false.', 'Should it be the case that the claim that if different chemicals can cause different health problems and have different safe use requirements, then winter sports are part of our culture does not correspond with reality, it follows that wives have sons.', "Given that the claim that if different chemicals can cause different health problems and have different safe use requirements, then winter sports are part of our culture does not correspond with reality, it can be inferred that the statement that 'wives have sons' is incorrect.", "Whenever it is true that it is not the case that if winter sports are part of our culture, then water heaters are located in garages, 'most tissue has functions' is true.", 'Provided that it is not the case that if winter sports are part of our culture, then water heaters are located in garages, we know that it is not the case that most tissue has functions.']
|
Either most atmospheres have waves or different chemicals can cause different health problems and have different safe use requirements. When foxs are located in warrens is true, it follows that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then plague is bacterial infection. The statement that states foxs are located in warrens is right. One may reasonably assume that if it is not true that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then the claim that plague is bacterial infection has no merit, then either gold also is used in electronic connectors and dental alloys or blowflies feed on fat diets. On the condition that it is not true that if it is a common misconception that if most atmospheres have waves, then water heaters are located in garages, then the claim that plague is bacterial infection has no merit, it is definitely the case that we know that the claim that either gold also is used in electronic connectors and dental alloys or blowflies feed on fat diets is false. Should it be the case that the claim that if different chemicals can cause different health problems and have different safe use requirements, then winter sports are part of our culture does not correspond with reality, it follows that wives have sons. Given that the claim that if different chemicals can cause different health problems and have different safe use requirements, then winter sports are part of our culture does not correspond with reality, it can be inferred that the statement that 'wives have sons' is incorrect. Whenever it is true that it is not the case that if winter sports are part of our culture, then water heaters are located in garages, 'most tissue has functions' is true. Provided that it is not the case that if winter sports are part of our culture, then water heaters are located in garages, we know that it is not the case that most tissue has functions.
|
Those that suggest water heaters are located in garages are right.
|
Those that suggest water heaters are located in garages are right.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [4]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If [1], then [0].).), then [4].).
[7]
Therefore, If (Not (If [1], then [0].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then (Either [8] or [9].).
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then (Not (Either [8] or [9].).).
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then [0]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [6].
If (Not (If [2], then [3].).), then (Not [6].).
Therefore, If [2], then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then [0].).), then [5].
If (Not (If [3], then [0].).), then (Not [5].).
Therefore, If [3], then [0]..
|
{0: 'Water heaters are located in garages.', 1: 'Most atmospheres have waves.', 2: 'Different chemicals can cause different health problems and have different safe use requirements.', 3: 'Winter sports are part of our culture.', 4: 'Plague is bacterial infection.', 5: 'Most tissue has functions.', 6: 'Wives have sons.', 7: 'Foxs are located in warrens.', 8: 'Gold also is used in electronic connectors and dental alloys.', 9: 'Blowflies feed on fat diets.'}
| 7 |
6,568 |
['It is rational to believe that either if good health is the foundation for inner peace, happiness and success, then annual ryegrass is lighter in color then perennial ryegrass or if people knock on doors, then death has devastate impact.', "Whenever it is true that if people knock on doors, then death has devastate impact, 'it is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage' is true.", "Whenever it is true that if good health is the foundation for inner peace, happiness and success, then annual ryegrass is lighter in color then perennial ryegrass, 'vegetables are peaceful living things that do no harm' is true.", "Whenever it is true that vegetables are peaceful living things that do no harm, 'feces collect in the rectum, the final portion of the large intestine' is true.", 'One may reasonably assume that if it is not the case that if feces collect in the rectum, the final portion of the large intestine, then it is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage, then most ingest food has same effects.', 'Provided that the statement that states if a ragamuffin is an urchin, then the claim that most ingest food has same effects is false is false, we know that some children have metabolize carbohydrates.', 'It is not true that some children have metabolize carbohydrates.', 'It is rational to believe that either most butterflies live for just a few weeks or a few months or a ragamuffin is an urchin.', 'The claim that most butterflies live for just a few weeks or a few months does not correspond with reality.']
|
It is rational to believe that either if good health is the foundation for inner peace, happiness and success, then annual ryegrass is lighter in color then perennial ryegrass or if people knock on doors, then death has devastate impact. Whenever it is true that if people knock on doors, then death has devastate impact, 'it is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage' is true. Whenever it is true that if good health is the foundation for inner peace, happiness and success, then annual ryegrass is lighter in color then perennial ryegrass, 'vegetables are peaceful living things that do no harm' is true. Whenever it is true that vegetables are peaceful living things that do no harm, 'feces collect in the rectum, the final portion of the large intestine' is true. One may reasonably assume that if it is not the case that if feces collect in the rectum, the final portion of the large intestine, then it is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage, then most ingest food has same effects. Provided that the statement that states if a ragamuffin is an urchin, then the claim that most ingest food has same effects is false is false, we know that some children have metabolize carbohydrates. It is not true that some children have metabolize carbohydrates. It is rational to believe that either most butterflies live for just a few weeks or a few months or a ragamuffin is an urchin. The claim that most butterflies live for just a few weeks or a few months does not correspond with reality.
|
It is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage.
|
It is a common misconception that close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or (If [3], then [4].).
If (If [1], then [2].), then (Not [0].). [SC2-1]
If (If [3], then [4].), then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [5].
If [5], then (Not [0].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC2-2]
Hypothetical Syllogism:
If [5], then [6].
If [6], then (Not [0].). [SC2-3]
Therefore, If [5], then (Not [0].)..
[SC2-3]
Modus Tonens:
If (Not (If [6], then (Not [0].).).), then [7].
Not [7]. [SC2-4]
Therefore, If [6], then (Not [0].)..
[SC2-4]
Modus Ponens:
If [8], then (Not [7].). [SC1-5]
[8] [SC2-5]
Therefore, Not [7]..
[SC1-5]
Modus Tonens:
If (Not (If [8], then (Not [7].).).), then [9].
Not [9].
Therefore, If [8], then (Not [7].)..
[SC2-5]
Disjunctive Syllogism:
Either [10] or [8].
Not [10].
Therefore, [8].
|
{0: 'Close relatives are usually grandparents, aunts, uncles, etc. by blood or marriage.', 1: 'Good health is the foundation for inner peace, happiness and success.', 2: 'Annual ryegrass is lighter in color then perennial ryegrass.', 3: 'People knock on doors.', 4: 'Death has devastate impact.', 5: 'Vegetables are peaceful living things that do no harm.', 6: 'Feces collect in the rectum, the final portion of the large intestine.', 7: 'Most ingest food has same effects.', 8: 'A ragamuffin is an urchin.', 9: 'Some children have metabolize carbohydrates.', 10: 'Most butterflies live for just a few weeks or a few months.'}
| 7 |
6,108 |
['We know that either average velocity is the total displacement divided by the time interval or if most frogs use powerful legs, then mayflies are also important food organisms for fish.', 'The claim that average velocity is the total displacement divided by the time interval does not reflect reality.', 'When waxes are water-repellent and are used to coat surfaces is true, it follows that if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish.', 'We know that either if many families have unsaved parents, spouses, or children, then most arthropods perform functions or either people are omnivores, eating and digesting meat, grains, fruits and vegetables or family businesses generate about half the gross national product and half of the total wages paid.', 'If if many families have unsaved parents, spouses, or children, then most arthropods perform functions, then environments are created by level jet wind.', 'Should it be the case that either people are omnivores, eating and digesting meat, grains, fruits and vegetables or family businesses generate about half the gross national product and half of the total wages paid, it follows that waxes are water-repellent and are used to coat surfaces.', 'When the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold is true, it follows that life is what happens when researchers are busy studying.', 'The claim that exercise helps with weight loss by burning extra calories during and after the activity does not reflect reality.', 'Should it be the case that it is a common misconception that either exercise helps with weight loss by burning extra calories during and after the activity or if the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold, then the statement that states life is what happens when researchers are busy studying is false, it follows that if cartilage is a type of connective tissue that lines many joints throughout the body, then some cultures hold that all life is sacred.', "If it is a common misconception that either exercise helps with weight loss by burning extra calories during and after the activity or if the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold, then the statement that states life is what happens when researchers are busy studying is false, then the statement 'if cartilage is a type of connective tissue that lines many joints throughout the body, then some cultures hold that all life is sacred' can be considered false."]
|
We know that either average velocity is the total displacement divided by the time interval or if most frogs use powerful legs, then mayflies are also important food organisms for fish. The claim that average velocity is the total displacement divided by the time interval does not reflect reality. When waxes are water-repellent and are used to coat surfaces is true, it follows that if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish. We know that either if many families have unsaved parents, spouses, or children, then most arthropods perform functions or either people are omnivores, eating and digesting meat, grains, fruits and vegetables or family businesses generate about half the gross national product and half of the total wages paid. If if many families have unsaved parents, spouses, or children, then most arthropods perform functions, then environments are created by level jet wind. Should it be the case that either people are omnivores, eating and digesting meat, grains, fruits and vegetables or family businesses generate about half the gross national product and half of the total wages paid, it follows that waxes are water-repellent and are used to coat surfaces. When the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold is true, it follows that life is what happens when researchers are busy studying. The claim that exercise helps with weight loss by burning extra calories during and after the activity does not reflect reality. Should it be the case that it is a common misconception that either exercise helps with weight loss by burning extra calories during and after the activity or if the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold, then the statement that states life is what happens when researchers are busy studying is false, it follows that if cartilage is a type of connective tissue that lines many joints throughout the body, then some cultures hold that all life is sacred. If it is a common misconception that either exercise helps with weight loss by burning extra calories during and after the activity or if the statement, if environments are created by level jet wind, then if most frogs use powerful legs, then it is not the case that mayflies are also important food organisms for fish, does not hold, then the statement that states life is what happens when researchers are busy studying is false, then the statement 'if cartilage is a type of connective tissue that lines many joints throughout the body, then some cultures hold that all life is sacred' can be considered false.
|
The claim that most frogs use powerful legs is false.
|
The claim that most frogs use powerful legs is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If [0], then [1].).
Not [4].
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [0], then (Not [1].).). [SC2-2]
If [3], then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either (If [6], then [7].) or (Either [8] or [9].).
If (If [6], then [7].), then [2].
If (Either [8] or [9].), then [3].
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then (Not [1].).).).), then [5].
If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].). [SC2-3]
Therefore, If [2], then (If [0], then (Not [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].).). [SC1-4]
Not [10].
Therefore, If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [10] or (If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].).).).), then (If [11], then [12].).
If (Not (Either [10] or (If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].).).).), then (Not (If [11], then [12].).).
Therefore, Either [10] or (If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [5].).)..
|
{0: 'Most frogs use powerful legs.', 1: 'Mayflies are also important food organisms for fish.', 2: 'Environments are created by level jet wind.', 3: 'Waxes are water-repellent and are used to coat surfaces.', 4: 'Average velocity is the total displacement divided by the time interval.', 5: 'Life is what happens when researchers are busy studying.', 6: 'Many families have unsaved parents, spouses, or children.', 7: 'Most arthropods perform functions.', 8: 'People are omnivores, eating and digesting meat, grains, fruits and vegetables.', 9: 'Family businesses generate about half the gross national product and half of the total wages paid.', 10: 'Exercise helps with weight loss by burning extra calories during and after the activity.', 11: 'Cartilage is a type of connective tissue that lines many joints throughout the body.', 12: 'Some cultures hold that all life is sacred.'}
| 7 |
6,367 |
['One may reasonably assume that if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then acid contains carbon atoms.', "So long as beats are sound, 'straight men can dance' is true.", "Whenever it is true that straight men can dance, 'the statement that 'false imprisonment is internment' is incorrect' is true.", "Assuming the statement that 'if accidents can occur when children play with the remote controls for an automatic garage door opener, then the statement that 'false imprisonment is internment' is incorrect' is incorrect, we know that either vegetation strongly influences regional weather systems, as well as climate or diamonds are a natural kind.", "The notion that 'either vegetation strongly influences regional weather systems, as well as climate or diamonds are a natural kind' is untrue.", 'We know that at least one of two things is true: if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, or markets are a natural outgrowth of human civilization.', "So long as markets are a natural outgrowth of human civilization, 'if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false' is true.", 'If nippers have (part) plasma membranes, then if if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, then if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false.', 'Provided that many factors contribute to how a child reacts to a move, we know that if if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, then if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false.', "Either one or both of these statements are true: trade routes can bring mobile people into contact with one another and with each other's infections, or ferns are the first colonisers, as disaster flora.", "So long as trade routes can bring mobile people into contact with one another and with each other's infections, 'either nippers have (part) plasma membranes or many factors contribute to how a child reacts to a move' is true.", "So long as ferns are the first colonisers, as disaster flora, 'either nippers have (part) plasma membranes or many factors contribute to how a child reacts to a move' is true."]
|
One may reasonably assume that if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then acid contains carbon atoms. So long as beats are sound, 'straight men can dance' is true. Whenever it is true that straight men can dance, 'the statement that 'false imprisonment is internment' is incorrect' is true. Assuming the statement that 'if accidents can occur when children play with the remote controls for an automatic garage door opener, then the statement that 'false imprisonment is internment' is incorrect' is incorrect, we know that either vegetation strongly influences regional weather systems, as well as climate or diamonds are a natural kind. The notion that 'either vegetation strongly influences regional weather systems, as well as climate or diamonds are a natural kind' is untrue. We know that at least one of two things is true: if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, or markets are a natural outgrowth of human civilization. So long as markets are a natural outgrowth of human civilization, 'if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false' is true. If nippers have (part) plasma membranes, then if if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, then if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false. Provided that many factors contribute to how a child reacts to a move, we know that if if pressure develops under film and causes milk to boil over around sides of film, then iron tablets are also useful, but even a small amount is dangerous to children, then if it is not the case that either beats are sound or accidents can occur when children play with the remote controls for an automatic garage door opener, then we know that the claim that acid contains carbon atoms is false. Either one or both of these statements are true: trade routes can bring mobile people into contact with one another and with each other's infections, or ferns are the first colonisers, as disaster flora. So long as trade routes can bring mobile people into contact with one another and with each other's infections, 'either nippers have (part) plasma membranes or many factors contribute to how a child reacts to a move' is true. So long as ferns are the first colonisers, as disaster flora, 'either nippers have (part) plasma membranes or many factors contribute to how a child reacts to a move' is true.
|
The statement that 'false imprisonment is internment' is incorrect.
|
The claim that false imprisonment is internment does not reflect reality.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3].
If (Not (Either [1] or [2].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If (Not (Either [1] or [2].).), then (Not [3].).). [SC2-3]
If [9], then (If (Not (Either [1] or [2].).), then (Not [3].).).
Therefore, If (Not (Either [1] or [2].).), then (Not [3].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11]. [SC1-4]
If [10], then (If (If [7], then [8].), then (If (Not (Either [1] or [2].).), then (Not [3].).).).
If [11], then (If (If [7], then [8].), then (If (Not (Either [1] or [2].).), then (Not [3].).).).
Therefore, If (If [7], then [8].), then (If (Not (Either [1] or [2].).), then (Not [3].).)..
[SC1-4]
Disjunction Elimination:
Either [12] or [13].
If [12], then (Either [10] or [11].).
If [13], then (Either [10] or [11].).
Therefore, Either [10] or [11]..
[SC2-1]
Hypothetical Syllogism:
If [1], then [4].
If [4], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, If [2], then (Not [0].)..
|
{0: 'False imprisonment is internment.', 1: 'Beats are sound.', 2: 'Accidents can occur when children play with the remote controls for an automatic garage door opener.', 3: 'Acid contains carbon atoms.', 4: 'Straight men can dance.', 5: 'Vegetation strongly influences regional weather systems, as well as climate.', 6: 'Diamonds are a natural kind.', 7: 'Pressure develops under film and causes milk to boil over around sides of film.', 8: 'Iron tablets are also useful, but even a small amount is dangerous to children.', 9: 'Markets are a natural outgrowth of human civilization.', 10: 'Nippers have (part) plasma membranes.', 11: 'Many factors contribute to how a child reacts to a move.', 12: "Trade routes can bring mobile people into contact with one another and with each other's infections.", 13: 'Ferns are the first colonisers, as disaster flora.'}
| 7 |
6,644 |
['One may reasonably assume that if christian confession is indeed the therapy of the soul, then either either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries or the claim that water draining off agricultural land obviously carries nutrients in the form of fertilizers is false.', "Once we know prednisone is the most commonly used type of steroid to treat certain rheumatic diseases, we also know that the statement that 'either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries' is incorrect.", "The statement 'prednisone is the most commonly used type of steroid to treat certain rheumatic diseases' can be considered true.", 'Provided that if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined, we know that fishermen eat fish.', 'When fishermen eat fish is true, it follows that either either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries or the claim that water draining off agricultural land obviously carries nutrients in the form of fertilizers is false.', 'We know that either ferns are characterized by delicate fronds, or leaves or some symbols have multiple meanings.', 'Given that ferns are characterized by delicate fronds, or leaves, it can be inferred that either daylily varieties can begin their bloom period in early spring and go through into autumn or either if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined or christian confession is indeed the therapy of the soul.', 'Given that some symbols have multiple meanings, it can be inferred that either daylily varieties can begin their bloom period in early spring and go through into autumn or either if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined or christian confession is indeed the therapy of the soul.', 'It is rational to believe that either skunks dig burrows or domestic violence is said to take place most often in the home.', 'Given that skunks dig burrows, it can be inferred that we know that the claim that daylily varieties can begin their bloom period in early spring and go through into autumn is false.', 'When domestic violence is said to take place most often in the home is true, it follows that we know that the claim that daylily varieties can begin their bloom period in early spring and go through into autumn is false.']
|
One may reasonably assume that if christian confession is indeed the therapy of the soul, then either either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries or the claim that water draining off agricultural land obviously carries nutrients in the form of fertilizers is false. Once we know prednisone is the most commonly used type of steroid to treat certain rheumatic diseases, we also know that the statement that 'either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries' is incorrect. The statement 'prednisone is the most commonly used type of steroid to treat certain rheumatic diseases' can be considered true. Provided that if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined, we know that fishermen eat fish. When fishermen eat fish is true, it follows that either either a car door is a door or antibiotic potentiation is one of the primary uses of bromelain in several foreign countries or the claim that water draining off agricultural land obviously carries nutrients in the form of fertilizers is false. We know that either ferns are characterized by delicate fronds, or leaves or some symbols have multiple meanings. Given that ferns are characterized by delicate fronds, or leaves, it can be inferred that either daylily varieties can begin their bloom period in early spring and go through into autumn or either if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined or christian confession is indeed the therapy of the soul. Given that some symbols have multiple meanings, it can be inferred that either daylily varieties can begin their bloom period in early spring and go through into autumn or either if ringworm isa process, then more pets die each year as a result of being lost than from all diseases combined or christian confession is indeed the therapy of the soul. It is rational to believe that either skunks dig burrows or domestic violence is said to take place most often in the home. Given that skunks dig burrows, it can be inferred that we know that the claim that daylily varieties can begin their bloom period in early spring and go through into autumn is false. When domestic violence is said to take place most often in the home is true, it follows that we know that the claim that daylily varieties can begin their bloom period in early spring and go through into autumn is false.
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The claim that water draining off agricultural land obviously carries nutrients in the form of fertilizers is false.
|
The claim that water enters rapidly when the soil is dry and cracked, and very slowly when the soil is moist does not correspond with reality.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-2]
If (If [4], then [5].), then (Either (Either [1] or [2].) or (Not [0].).). [SC2-2]
If [6], then (Either (Either [1] or [2].) or (Not [0].).).
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either (If [4], then [5].) or [6].). [SC1-3]
Not [8]. [SC2-3]
Therefore, Either (If [4], then [5].) or [6]..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [8] or (Either (If [4], then [5].) or [6].).).
If [10], then (Either [8] or (Either (If [4], then [5].) or [6].).).
Therefore, Either [8] or (Either (If [4], then [5].) or [6].)..
[SC2-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Not [8].).
If [12], then (Not [8].).
Therefore, Not [8]..
[SC2-2]
Hypothetical Syllogism:
If (If [4], then [5].), then [7].
If [7], then (Either (Either [1] or [2].) or (Not [0].).).
Therefore, If (If [4], then [5].), then (Either (Either [1] or [2].) or (Not [0].).)..
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).).
[3]
Therefore, Not (Either [1] or [2].)..
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{0: 'Water draining off agricultural land obviously carries nutrients in the form of fertilizers.', 1: 'A car door is a door.', 2: 'Antibiotic potentiation is one of the primary uses of bromelain in several foreign countries.', 3: 'Prednisone is the most commonly used type of steroid to treat certain rheumatic diseases.', 4: 'Ringworm isa process.', 5: 'More pets die each year as a result of being lost than from all diseases combined.', 6: 'Christian confession is indeed the therapy of the soul.', 7: 'Fishermen eat fish.', 8: 'Daylily varieties can begin their bloom period in early spring and go through into autumn.', 9: 'Ferns are characterized by delicate fronds, or leaves.', 10: 'Some symbols have multiple meanings.', 11: 'Skunks dig burrows.', 12: 'Domestic violence is said to take place most often in the home.'}
| 7 |
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