id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
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stringclasses 3
values | arg
stringlengths 54
2.02k
| statements
stringlengths 51
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int64 1
7
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|---|---|---|---|---|---|---|---|---|
5,105 |
['It is the case that most people cultivate a feeling of remoteness when they consider fire.', "Assuming the notion that 'if most people cultivate a feeling of remoteness when they consider fire, then either some gastropods have holes or the claim that if bighorns have (part) cytoplasm, then perlite insulation is in a loose form suitable to fill the cavities in building block does not correspond with reality' is untrue, we know that cultured marble is plastic and natural marble is stone.", "Should it be the case that the notion that 'if most people cultivate a feeling of remoteness when they consider fire, then either some gastropods have holes or the claim that if bighorns have (part) cytoplasm, then perlite insulation is in a loose form suitable to fill the cavities in building block does not correspond with reality' is untrue, it follows that the statement, cultured marble is plastic and natural marble is stone, does not hold.", 'If some gastropods have holes, then either abnormalities require treatments or shigella are always pathogenic.', 'When either abnormalities require treatments or shigella are always pathogenic is true, it follows that if measurements serve science, then soybeans are plants.', 'We know that either building is one of the most ancient human skills or if some gastropods have holes, then it is not true that if measurements serve science, then soybeans are plants.', 'It is not the case that building is one of the most ancient human skills.']
|
It is the case that most people cultivate a feeling of remoteness when they consider fire. Assuming the notion that 'if most people cultivate a feeling of remoteness when they consider fire, then either some gastropods have holes or the claim that if bighorns have (part) cytoplasm, then perlite insulation is in a loose form suitable to fill the cavities in building block does not correspond with reality' is untrue, we know that cultured marble is plastic and natural marble is stone. Should it be the case that the notion that 'if most people cultivate a feeling of remoteness when they consider fire, then either some gastropods have holes or the claim that if bighorns have (part) cytoplasm, then perlite insulation is in a loose form suitable to fill the cavities in building block does not correspond with reality' is untrue, it follows that the statement, cultured marble is plastic and natural marble is stone, does not hold. If some gastropods have holes, then either abnormalities require treatments or shigella are always pathogenic. When either abnormalities require treatments or shigella are always pathogenic is true, it follows that if measurements serve science, then soybeans are plants. We know that either building is one of the most ancient human skills or if some gastropods have holes, then it is not true that if measurements serve science, then soybeans are plants. It is not the case that building is one of the most ancient human skills.
|
The claim that if bighorns have (part) cytoplasm, then perlite insulation is in a loose form suitable to fill the cavities in building block does not correspond with reality.
|
Whenever it is true that bighorns have (part) cytoplasm, 'perlite insulation is in a loose form suitable to fill the cavities in building block' is true.
|
FALSE
|
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].).).). [SC1-2]
[3]
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [2] or (Not (If [0], then [1].).).).).), then [9].
If (Not (If [3], then (Either [2] or (Not (If [0], then [1].).).).).), then (Not [9].).
Therefore, If [3], then (Either [2] or (Not (If [0], then [1].).).)..
[SC2-1]
Reductio Ad Absurdum:
If [2], then (If [4], then [5].). [SC1-2]
If [2], then (Not (If [4], then [5].).). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then (Either [7] or [8].).
If (Either [7] or [8].), then (If [4], then [5].).
Therefore, If [2], then (If [4], then [5].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (Not (If [4], then [5].).).).
Not [6].
Therefore, If [2], then (Not (If [4], then [5].).)..
|
{0: 'Bighorns have (part) cytoplasm.', 1: 'Perlite insulation is in a loose form suitable to fill the cavities in building block.', 2: 'Some gastropods have holes.', 3: 'Most people cultivate a feeling of remoteness when they consider fire.', 4: 'Measurements serve science.', 5: 'Soybeans are plants.', 6: 'Building is one of the most ancient human skills.', 7: 'Abnormalities require treatments.', 8: 'Shigella are always pathogenic.', 9: 'Cultured marble is plastic and natural marble is stone.'}
| 6 |
5,068 |
["If the statement 'most elephants has-part jaws' can be considered false, then beekeepers are largely dependent on cultivated crops grown for other purposes or on wild plants.", 'The statement that states beekeepers are largely dependent on cultivated crops grown for other purposes or on wild plants is false.', 'One may reasonably assume that if either testing is the word everyone loves to hate or food attracts predators, then if caffeine increases the risks of infertility, miscarriage, and impaired fetal growth, then lysosomes are the major digestive units in cells.', 'One may reasonably assume that if if caffeine increases the risks of infertility, miscarriage, and impaired fetal growth, then lysosomes are the major digestive units in cells, then if most elephants has-part jaws, then the claim that vegetarian diets include food is false.', 'Either one or both of these statements are true: omega isa happening, or either testing is the word everyone loves to hate or food attracts predators.', 'There is good reason to believe that either either mike isa device or love requires acceptance of someone as they are, with their limitations and faults or most gorillas have pink skin.', "Given that either mike isa device or love requires acceptance of someone as they are, with their limitations and faults, it can be inferred that the notion that 'omega isa happening' is untrue.", "On the condition that most gorillas have pink skin, it is definitely the case that the notion that 'omega isa happening' is untrue."]
|
If the statement 'most elephants has-part jaws' can be considered false, then beekeepers are largely dependent on cultivated crops grown for other purposes or on wild plants. The statement that states beekeepers are largely dependent on cultivated crops grown for other purposes or on wild plants is false. One may reasonably assume that if either testing is the word everyone loves to hate or food attracts predators, then if caffeine increases the risks of infertility, miscarriage, and impaired fetal growth, then lysosomes are the major digestive units in cells. One may reasonably assume that if if caffeine increases the risks of infertility, miscarriage, and impaired fetal growth, then lysosomes are the major digestive units in cells, then if most elephants has-part jaws, then the claim that vegetarian diets include food is false. Either one or both of these statements are true: omega isa happening, or either testing is the word everyone loves to hate or food attracts predators. There is good reason to believe that either either mike isa device or love requires acceptance of someone as they are, with their limitations and faults or most gorillas have pink skin. Given that either mike isa device or love requires acceptance of someone as they are, with their limitations and faults, it can be inferred that the notion that 'omega isa happening' is untrue. On the condition that most gorillas have pink skin, it is definitely the case that the notion that 'omega isa happening' is untrue.
|
The claim that vegetarian diets include food is false.
|
The statement that states vegetarian diets offer protection against chronic disease in a number of ways is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (If [1], then (Not [0].).). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then (If [6], then [7].).
If (If [6], then [7].), then (If [1], then (Not [0].).).
Therefore, If (Either [2] or [3].), then (If [1], then (Not [0].).)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or [3].).
Not [5]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (Not [5].).
If [10], then (Not [5].).
Therefore, Not [5]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [4].
Not [4].
Therefore, [1].
|
{0: 'Vegetarian diets include food.', 1: 'Most elephants has-part jaws.', 2: 'Testing is the word everyone loves to hate.', 3: 'Food attracts predators.', 4: 'Beekeepers are largely dependent on cultivated crops grown for other purposes or on wild plants.', 5: 'Omega isa happening.', 6: 'Caffeine increases the risks of infertility, miscarriage, and impaired fetal growth.', 7: 'Lysosomes are the major digestive units in cells.', 8: 'Mike isa device.', 9: 'Love requires acceptance of someone as they are, with their limitations and faults.', 10: 'Most gorillas have pink skin.'}
| 6 |
5,479 |
["Whenever it is true that if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, 'those that suggest students describe investigations are wrong' is true.", "So long as the statement, if if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, then students describe investigations, does not hold, 'if face cards are playing cards, then healthy skin is grafted from elsewhere on their bodies, causing pain and additional scarring' is true.", 'Given that the statement, if winter can be extremely cold with temperatures reaching as low as minus centigrade, then if the statement, if if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, then students describe investigations, does not hold, then it is not the case that if face cards are playing cards, then healthy skin is grafted from elsewhere on their bodies, causing pain and additional scarring, does not hold, it can be inferred that most species eat animals, including small mammals, fishes, reptiles, amphibians, and insects.', 'It is not the case that most species eat animals, including small mammals, fishes, reptiles, amphibians, and insects.', 'The statement that states plasma includes primarily water plus buffering proteins and salt is false.', 'We know that either arithmetical operations are meaningless on nominal scales or whales communicate with sounds similar to the trumpeting of elephants.', 'When arithmetical operations are meaningless on nominal scales is true, it follows that plasma includes primarily water plus buffering proteins and salt.', 'Once we know whales communicate with sounds similar to the trumpeting of elephants, we also know that winter can be extremely cold with temperatures reaching as low as minus centigrade.']
|
Whenever it is true that if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, 'those that suggest students describe investigations are wrong' is true. So long as the statement, if if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, then students describe investigations, does not hold, 'if face cards are playing cards, then healthy skin is grafted from elsewhere on their bodies, causing pain and additional scarring' is true. Given that the statement, if winter can be extremely cold with temperatures reaching as low as minus centigrade, then if the statement, if if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host, then students describe investigations, does not hold, then it is not the case that if face cards are playing cards, then healthy skin is grafted from elsewhere on their bodies, causing pain and additional scarring, does not hold, it can be inferred that most species eat animals, including small mammals, fishes, reptiles, amphibians, and insects. It is not the case that most species eat animals, including small mammals, fishes, reptiles, amphibians, and insects. The statement that states plasma includes primarily water plus buffering proteins and salt is false. We know that either arithmetical operations are meaningless on nominal scales or whales communicate with sounds similar to the trumpeting of elephants. When arithmetical operations are meaningless on nominal scales is true, it follows that plasma includes primarily water plus buffering proteins and salt. Once we know whales communicate with sounds similar to the trumpeting of elephants, we also know that winter can be extremely cold with temperatures reaching as low as minus centigrade.
|
We know that the claim that if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host is false.
|
We know that the claim that if some herbaceous plants grow in basal rosettes, then adults are parasites that draw blood from a host is false.
|
TRUE
|
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]
Reductio Ad Absurdum:
If (Not (If (If [0], then [1].), then [2].).), then (If [3], then [4].).
If (Not (If (If [0], then [1].), then [2].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, If (If [0], then [1].), then [2]..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If (If [0], then [1].), then [2].).), then (Not (If [3], then [4].).).). [SC1-3]
[5] [SC2-3]
Therefore, If (Not (If (If [0], then [1].), then [2].).), then (Not (If [3], then [4].).)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (If (Not (If (If [0], then [1].), then [2].).), then (Not (If [3], then [4].).).).).), then [7].
Not [7].
Therefore, If [5], then (If (Not (If (If [0], then [1].), then [2].).), then (Not (If [3], then [4].).).)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or [5]. [SC1-4]
Not [6].
Therefore, [5].
[SC1-4]
Constructive Dilemma:
Either [8] or [9].
If [8], then [6].
If [9], then [5].
Therefore, Either [6] or [5]..
|
{0: 'Some herbaceous plants grow in basal rosettes.', 1: 'Adults are parasites that draw blood from a host.', 2: 'Students describe investigations.', 3: 'Face cards are playing cards.', 4: 'Healthy skin is grafted from elsewhere on their bodies, causing pain and additional scarring.', 5: 'Winter can be extremely cold with temperatures reaching as low as minus centigrade.', 6: 'Plasma includes primarily water plus buffering proteins and salt.', 7: 'Most species eat animals, including small mammals, fishes, reptiles, amphibians, and insects.', 8: 'Arithmetical operations are meaningless on nominal scales.', 9: 'Whales communicate with sounds similar to the trumpeting of elephants.'}
| 6 |
5,399 |
['We know that at least one of two things is true: if behemoths are huge, lumbering beasts with no sense of direction, then canadian whiskey is rye and barley, or if some people mistakenly believe that daisies need energy, then some blades also employ twisting along their length, again to optimize lifting efficiency.', 'The statement that states if behemoths are huge, lumbering beasts with no sense of direction, then canadian whiskey is rye and barley is false.', 'Either one or both of these statements are true: trellises allow plants to support more surface area for fruit production, or we know that the claim that some blades also employ twisting along their length, again to optimize lifting efficiency is false.', "Whenever it is true that herbivorous lizards bask and there is some suggestion that they select high temperatures, 'the notion that 'trellises allow plants to support more surface area for fruit production' is untrue' is true.", 'We know that either electricians have (part) cell membranes or herbivorous lizards bask and there is some suggestion that they select high temperatures.', 'On the condition that child abuse is pandemic throughout the world, it is definitely the case that those that suggest electricians have (part) cell membranes are wrong.', 'We can assume that child abuse is pandemic throughout the world.']
|
We know that at least one of two things is true: if behemoths are huge, lumbering beasts with no sense of direction, then canadian whiskey is rye and barley, or if some people mistakenly believe that daisies need energy, then some blades also employ twisting along their length, again to optimize lifting efficiency. The statement that states if behemoths are huge, lumbering beasts with no sense of direction, then canadian whiskey is rye and barley is false. Either one or both of these statements are true: trellises allow plants to support more surface area for fruit production, or we know that the claim that some blades also employ twisting along their length, again to optimize lifting efficiency is false. Whenever it is true that herbivorous lizards bask and there is some suggestion that they select high temperatures, 'the notion that 'trellises allow plants to support more surface area for fruit production' is untrue' is true. We know that either electricians have (part) cell membranes or herbivorous lizards bask and there is some suggestion that they select high temperatures. On the condition that child abuse is pandemic throughout the world, it is definitely the case that those that suggest electricians have (part) cell membranes are wrong. We can assume that child abuse is pandemic throughout the world.
|
daisies need energy.
|
The statement, daisies need energy, does not hold.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (Not [0].), then [1].).
Not (If [3], then [4].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or [5].
Not [6]. [SC2-4]
Therefore, [5].
[SC2-4]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
|
{0: 'Daisies need energy.', 1: 'Some blades also employ twisting along their length, again to optimize lifting efficiency.', 2: 'Trellises allow plants to support more surface area for fruit production.', 3: 'Behemoths are huge, lumbering beasts with no sense of direction.', 4: 'Canadian whiskey is rye and barley.', 5: 'Herbivorous lizards bask and there is some suggestion that they select high temperatures.', 6: 'Electricians have (part) cell membranes.', 7: 'Child abuse is pandemic throughout the world.'}
| 6 |
5,434 |
['The claim that skunks are most abundant in counties that have small tracts of unbroken forests has no merit.', 'On the condition that the claim that fe soils are on slightly higher positions, and are sodic has no merit, it is definitely the case that scent is a very effective means of communication for wolves.', 'Given that scent is a very effective means of communication for wolves, it can be inferred that fungal spores produced on year-old or older galls initiate infections on young, succulent twigs.', 'Either microwave ovens are probably the most hazardous of consumer appliances to service or if fungal spores produced on year-old or older galls initiate infections on young, succulent twigs, then salt solution is run through an ion exchange column in the hydrogen form.', 'The statement that states microwave ovens are probably the most hazardous of consumer appliances to service is false.', 'On the condition that the claim that if the claim that if the claim that fe soils are on slightly higher positions, and are sodic has no merit, then some people mistakenly believe that salt solution is run through an ion exchange column in the hydrogen form does not correspond with reality, then skunks are most abundant in counties that have small tracts of unbroken forests does not correspond with reality, it is definitely the case that every physical process is an energy transformation of some forms of energy into other forms.', 'The statement, every physical process is an energy transformation of some forms of energy into other forms, does not hold.']
|
The claim that skunks are most abundant in counties that have small tracts of unbroken forests has no merit. On the condition that the claim that fe soils are on slightly higher positions, and are sodic has no merit, it is definitely the case that scent is a very effective means of communication for wolves. Given that scent is a very effective means of communication for wolves, it can be inferred that fungal spores produced on year-old or older galls initiate infections on young, succulent twigs. Either microwave ovens are probably the most hazardous of consumer appliances to service or if fungal spores produced on year-old or older galls initiate infections on young, succulent twigs, then salt solution is run through an ion exchange column in the hydrogen form. The statement that states microwave ovens are probably the most hazardous of consumer appliances to service is false. On the condition that the claim that if the claim that if the claim that fe soils are on slightly higher positions, and are sodic has no merit, then some people mistakenly believe that salt solution is run through an ion exchange column in the hydrogen form does not correspond with reality, then skunks are most abundant in counties that have small tracts of unbroken forests does not correspond with reality, it is definitely the case that every physical process is an energy transformation of some forms of energy into other forms. The statement, every physical process is an energy transformation of some forms of energy into other forms, does not hold.
|
It is fair to say that fe soils are on slightly higher positions, and are sodic.
|
It is not the case that fe soils are on slightly higher positions, and are sodic.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [4].
If [4], then [2].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then [1].).
Not [6].
Therefore, If [2], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
Not [3].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [5].
Not [5].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
|
{0: 'Fe soils are on slightly higher positions, and are sodic.', 1: 'Salt solution is run through an ion exchange column in the hydrogen form.', 2: 'Fungal spores produced on year-old or older galls initiate infections on young, succulent twigs.', 3: 'Skunks are most abundant in counties that have small tracts of unbroken forests.', 4: 'Scent is a very effective means of communication for wolves.', 5: 'Every physical process is an energy transformation of some forms of energy into other forms.', 6: 'Microwave ovens are probably the most hazardous of consumer appliances to service.'}
| 6 |
5,258 |
['If it is a common misconception that either either some nematodes kill trees or some weasels occupy ranges or contemporary society considers vocation a synonym for a craft or profession, then either chance error is due to variability of samples taken or most tigers kill sheep.', 'Should it be the case that either some nematodes kill trees or some weasels occupy ranges, it follows that churches have candles and incense.', 'Should it be the case that either some nematodes kill trees or some weasels occupy ranges, it follows that it is a common misconception that churches have candles and incense.', "When cats prefer their food at 'mouse body temperature' is true, it follows that if soybeans are a bit more resilient in dry weather, then if it is a common misconception that either either some nematodes kill trees or some weasels occupy ranges or contemporary society considers vocation a synonym for a craft or profession, then the notion that 'either chance error is due to variability of samples taken or most tigers kill sheep' is untrue.", "cats prefer their food at 'mouse body temperature'.", 'Either some small pellets contain bones or soybeans are a bit more resilient in dry weather.', "The statement that 'some small pellets contain bones' is incorrect."]
|
If it is a common misconception that either either some nematodes kill trees or some weasels occupy ranges or contemporary society considers vocation a synonym for a craft or profession, then either chance error is due to variability of samples taken or most tigers kill sheep. Should it be the case that either some nematodes kill trees or some weasels occupy ranges, it follows that churches have candles and incense. Should it be the case that either some nematodes kill trees or some weasels occupy ranges, it follows that it is a common misconception that churches have candles and incense. When cats prefer their food at 'mouse body temperature' is true, it follows that if soybeans are a bit more resilient in dry weather, then if it is a common misconception that either either some nematodes kill trees or some weasels occupy ranges or contemporary society considers vocation a synonym for a craft or profession, then the notion that 'either chance error is due to variability of samples taken or most tigers kill sheep' is untrue. cats prefer their food at 'mouse body temperature'. Either some small pellets contain bones or soybeans are a bit more resilient in dry weather. The statement that 'some small pellets contain bones' is incorrect.
|
It is rational to agree that contemporary society considers vocation a synonym for a craft or profession.
|
It is not the case that contemporary society considers vocation a synonym for a craft or profession.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [0].).), then (Either [3] or [4].).
If (Not (Either (Either [1] or [2].) or [0].).), then (Not (Either [3] or [4].).). [SC2-2]
Therefore, Either (Either [1] or [2].) or [0]..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (Either (Either [1] or [2].) or [0].).), then (Not (Either [3] or [4].).).). [SC1-3]
[6] [SC2-3]
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then (Not (Either [3] or [4].).)..
[SC1-3]
Modus Ponens:
If [7], then (If [6], then (If (Not (Either (Either [1] or [2].) or [0].).), then (Not (Either [3] or [4].).).).).
[7]
Therefore, If [6], then (If (Not (Either (Either [1] or [2].) or [0].).), then (Not (Either [3] or [4].).).)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or [6].
Not [8].
Therefore, [6].
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [5].
If (Either [1] or [2].), then (Not [5].).
Therefore, Not (Either [1] or [2].)..
|
{0: 'Contemporary society considers vocation a synonym for a craft or profession.', 1: 'Some nematodes kill trees.', 2: 'Some weasels occupy ranges.', 3: 'Chance error is due to variability of samples taken.', 4: 'Most tigers kill sheep.', 5: 'Churches have candles and incense.', 6: 'Soybeans are a bit more resilient in dry weather.', 7: "Cats prefer their food at 'mouse body temperature'.", 8: 'Some small pellets contain bones.'}
| 6 |
5,827 |
['Those that suggest chromosomes shorten and thicken with the spindle apparatus being formed are wrong.', 'Either either cows require tails or sexual lust leads to authoritarian controls on our behavior or if diversity is a concept that applies at the personal level and also at the national level, then japan remains the only Asian country that still allows the sale of tiger parts.', 'The claim that either cows require tails or sexual lust leads to authoritarian controls on our behavior does not correspond with reality.', 'Either one or both of these statements are true: some herpetologists have degrees, or many Pacific peoples live on small islands and atolls where land resources are very limited.', 'One may reasonably assume that if some herpetologists have degrees, then if japan remains the only Asian country that still allows the sale of tiger parts, then most doves find abundant seeds.', 'Assuming many Pacific peoples live on small islands and atolls where land resources are very limited, we know that if japan remains the only Asian country that still allows the sale of tiger parts, then most doves find abundant seeds.', 'Either one or both of these statements are true: either solarization uses trapped solar energy to raise the soil temperature to that level or planes are power tools, or either chromosomes shorten and thicken with the spindle apparatus being formed or diversity is a concept that applies at the personal level and also at the national level.', "The statement 'either solarization uses trapped solar energy to raise the soil temperature to that level or planes are power tools' can be considered false."]
|
Those that suggest chromosomes shorten and thicken with the spindle apparatus being formed are wrong. Either either cows require tails or sexual lust leads to authoritarian controls on our behavior or if diversity is a concept that applies at the personal level and also at the national level, then japan remains the only Asian country that still allows the sale of tiger parts. The claim that either cows require tails or sexual lust leads to authoritarian controls on our behavior does not correspond with reality. Either one or both of these statements are true: some herpetologists have degrees, or many Pacific peoples live on small islands and atolls where land resources are very limited. One may reasonably assume that if some herpetologists have degrees, then if japan remains the only Asian country that still allows the sale of tiger parts, then most doves find abundant seeds. Assuming many Pacific peoples live on small islands and atolls where land resources are very limited, we know that if japan remains the only Asian country that still allows the sale of tiger parts, then most doves find abundant seeds. Either one or both of these statements are true: either solarization uses trapped solar energy to raise the soil temperature to that level or planes are power tools, or either chromosomes shorten and thicken with the spindle apparatus being formed or diversity is a concept that applies at the personal level and also at the national level. The statement 'either solarization uses trapped solar energy to raise the soil temperature to that level or planes are power tools' can be considered false.
|
The statement that states most doves find abundant seeds is right.
|
Doves have (part) faces.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If [1], then [3].).
Not (Either [6] or [7].).
Therefore, If [1], then [3]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [3], then [0].).
If [9], then (If [3], then [0].).
Therefore, If [3], then [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Either [2] or [1].).
Not (Either [4] or [5].).
Therefore, Either [2] or [1]..
|
{0: 'Most doves find abundant seeds.', 1: 'Diversity is a concept that applies at the personal level and also at the national level.', 2: 'Chromosomes shorten and thicken with the spindle apparatus being formed.', 3: 'Japan remains the only Asian country that still allows the sale of tiger parts.', 4: 'Solarization uses trapped solar energy to raise the soil temperature to that level.', 5: 'Planes are power tools.', 6: 'Cows require tails.', 7: 'Sexual lust leads to authoritarian controls on our behavior.', 8: 'Some herpetologists have degrees.', 9: 'Many Pacific peoples live on small islands and atolls where land resources are very limited.'}
| 6 |
5,884 |
['It is rational to believe that either canes come in many sizes and shapes, and the pattern can be adapted to fit most variations or conditioning exercises increase strength, speed and agility.', "So long as conditioning exercises increase strength, speed and agility, 'if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle' is true.", 'We know that at least one of two things is true: security is one of the most important and frequently overlooked needs of poor people, or statistics is the science of reasoning from uncertain empirical data.', 'Given that statistics is the science of reasoning from uncertain empirical data, it can be inferred that if if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle, then chaffinches are normally single-brooded, but occasionally raise a second clutch.', "The statement that 'oral corticosteroids are used to treat COPD when symptoms get rapidly worse' is incorrect.", 'Assuming the statement that states if security is one of the most important and frequently overlooked needs of poor people, then if if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle, then chaffinches are normally single-brooded, but occasionally raise a second clutch is false, we know that most sweet ferns have flowers.', 'It is a common misconception that most sweet ferns have flowers.', 'Assuming the claim that if the statement that states if canes come in many sizes and shapes, and the pattern can be adapted to fit most variations, then if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle is false, then oral corticosteroids are used to treat COPD when symptoms get rapidly worse does not reflect reality, we know that streets are community spaces.', 'Provided that the claim that if the statement that states if canes come in many sizes and shapes, and the pattern can be adapted to fit most variations, then if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle is false, then oral corticosteroids are used to treat COPD when symptoms get rapidly worse does not reflect reality, we know that it is not the case that streets are community spaces.']
|
It is rational to believe that either canes come in many sizes and shapes, and the pattern can be adapted to fit most variations or conditioning exercises increase strength, speed and agility. So long as conditioning exercises increase strength, speed and agility, 'if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle' is true. We know that at least one of two things is true: security is one of the most important and frequently overlooked needs of poor people, or statistics is the science of reasoning from uncertain empirical data. Given that statistics is the science of reasoning from uncertain empirical data, it can be inferred that if if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle, then chaffinches are normally single-brooded, but occasionally raise a second clutch. The statement that 'oral corticosteroids are used to treat COPD when symptoms get rapidly worse' is incorrect. Assuming the statement that states if security is one of the most important and frequently overlooked needs of poor people, then if if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle, then chaffinches are normally single-brooded, but occasionally raise a second clutch is false, we know that most sweet ferns have flowers. It is a common misconception that most sweet ferns have flowers. Assuming the claim that if the statement that states if canes come in many sizes and shapes, and the pattern can be adapted to fit most variations, then if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle is false, then oral corticosteroids are used to treat COPD when symptoms get rapidly worse does not reflect reality, we know that streets are community spaces. Provided that the claim that if the statement that states if canes come in many sizes and shapes, and the pattern can be adapted to fit most variations, then if prescription medications can help to balance out the hormones, then if homeostasis is the central theme of physiology, then plain dress is a part of the nonconformity and the separation from the world principle is false, then oral corticosteroids are used to treat COPD when symptoms get rapidly worse does not reflect reality, we know that it is not the case that streets are community spaces.
|
If prescription medications can help to balance out the hormones, then chaffinches are normally single-brooded, but occasionally raise a second clutch.
|
It is not the case that if prescription medications can help to balance out the hormones, then chaffinches are normally single-brooded, but occasionally raise a second clutch.
|
FALSE
|
Hypothetical Syllogism:
If [0], then (If [2], then [3].). [SC1-1]
If (If [2], then [3].), then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [0], then (If [2], then [3].).). [SC2-2]
If [5], then (If [0], then (If [2], then [3].).).
Therefore, If [0], then (If [2], then [3].)..
[SC2-2]
Modus Tonens:
If (Not (If [4], then (If [0], then (If [2], then [3].).).).), then [8]. [SC1-3]
Not [8].
Therefore, If [4], then (If [0], then (If [2], then [3].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (If [0], then (If [2], then [3].).).).), then [8].).), then [10].
If (Not (If (Not (If [4], then (If [0], then (If [2], then [3].).).).), then [8].).), then (Not [10].).
Therefore, If (Not (If [4], then (If [0], then (If [2], then [3].).).).), then [8]..
[SC2-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (If [2], then [3].), then [1].). [SC2-2]
If [7], then (If (If [2], then [3].), then [1].).
Therefore, If (If [2], then [3].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If [6], then (If (If [2], then [3].), then [1].).).), then [9].
Not [9].
Therefore, If [6], then (If (If [2], then [3].), then [1].)..
|
{0: 'Prescription medications can help to balance out the hormones.', 1: 'Chaffinches are normally single-brooded, but occasionally raise a second clutch.', 2: 'Homeostasis is the central theme of physiology.', 3: 'Plain dress is a part of the nonconformity and the separation from the world principle.', 4: 'Canes come in many sizes and shapes, and the pattern can be adapted to fit most variations.', 5: 'Conditioning exercises increase strength, speed and agility.', 6: 'Security is one of the most important and frequently overlooked needs of poor people.', 7: 'Statistics is the science of reasoning from uncertain empirical data.', 8: 'Oral corticosteroids are used to treat COPD when symptoms get rapidly worse.', 9: 'Most sweet ferns have flowers.', 10: 'Streets are community spaces.'}
| 6 |
5,304 |
['When either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is is true, it follows that blood is needed to nourish any body structure, to support growth and maintain integrity of tissues.', 'Either coin is used for flippings or hormone replacement maintains cortical bone lead content.', "So long as coin is used for flippings, 'if calculated acres is the area in acres of the polygon that represents the parcel on the map, then either either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is or citizens have (part) material bodies' is true.", 'Assuming hormone replacement maintains cortical bone lead content, we know that if calculated acres is the area in acres of the polygon that represents the parcel on the map, then either either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is or citizens have (part) material bodies.', 'When some people mistakenly believe that calculated acres is the area in acres of the polygon that represents the parcel on the map is true, it follows that financial markets are also vulnerable to a downward spiral of expectations.', "When some people mistakenly believe that calculated acres is the area in acres of the polygon that represents the parcel on the map is true, it follows that the notion that 'financial markets are also vulnerable to a downward spiral of expectations' is untrue.", 'If blood is needed to nourish any body structure, to support growth and maintain integrity of tissues, then either wills only come into effect after death, and they can be changed anytime before death or saturation is the purity of the color, or how much the color is diluted by white.', 'When blood is needed to nourish any body structure, to support growth and maintain integrity of tissues is true, it follows that some people mistakenly believe that either wills only come into effect after death, and they can be changed anytime before death or saturation is the purity of the color, or how much the color is diluted by white.']
|
When either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is is true, it follows that blood is needed to nourish any body structure, to support growth and maintain integrity of tissues. Either coin is used for flippings or hormone replacement maintains cortical bone lead content. So long as coin is used for flippings, 'if calculated acres is the area in acres of the polygon that represents the parcel on the map, then either either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is or citizens have (part) material bodies' is true. Assuming hormone replacement maintains cortical bone lead content, we know that if calculated acres is the area in acres of the polygon that represents the parcel on the map, then either either gorillas have dark skin and black to brown-grey hair or opacity controls how transparent the lightning is or citizens have (part) material bodies. When some people mistakenly believe that calculated acres is the area in acres of the polygon that represents the parcel on the map is true, it follows that financial markets are also vulnerable to a downward spiral of expectations. When some people mistakenly believe that calculated acres is the area in acres of the polygon that represents the parcel on the map is true, it follows that the notion that 'financial markets are also vulnerable to a downward spiral of expectations' is untrue. If blood is needed to nourish any body structure, to support growth and maintain integrity of tissues, then either wills only come into effect after death, and they can be changed anytime before death or saturation is the purity of the color, or how much the color is diluted by white. When blood is needed to nourish any body structure, to support growth and maintain integrity of tissues is true, it follows that some people mistakenly believe that either wills only come into effect after death, and they can be changed anytime before death or saturation is the purity of the color, or how much the color is diluted by white.
|
The statement 'citizens have (part) material bodies' is true.
|
The statement 'citizens have (part) material bodies' is true.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either (Either [1] or [2].) or [0].). [SC1-2]
[3] [SC2-2]
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [3], then (Either (Either [1] or [2].) or [0].).).
If [9], then (If [3], then (Either (Either [1] or [2].) or [0].).).
Therefore, If [3], then (Either (Either [1] or [2].) or [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [5].
If (Not [3].), then (Not [5].).
Therefore, [3].
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [4].
Not [4]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (Either [6] or [7].).
If [4], then (Not (Either [6] or [7].).).
Therefore, Not [4]..
|
{0: 'Citizens have (part) material bodies.', 1: 'Gorillas have dark skin and black to brown-grey hair.', 2: 'Opacity controls how transparent the lightning is.', 3: 'Calculated acres is the area in acres of the polygon that represents the parcel on the map.', 4: 'Blood is needed to nourish any body structure, to support growth and maintain integrity of tissues.', 5: 'Financial markets are also vulnerable to a downward spiral of expectations.', 6: 'Wills only come into effect after death, and they can be changed anytime before death.', 7: 'Saturation is the purity of the color, or how much the color is diluted by white.', 8: 'Coin is used for flippings.', 9: 'Hormone replacement maintains cortical bone lead content.'}
| 6 |
5,811 |
['Assuming we know that the claim that negros are coloreds is false, we know that the statement, heart failure is a heart disease, does not hold.', 'Should it be the case that we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, it follows that those that suggest either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice are wrong.', 'The idea that churchs are used for spiritual renewals is true.', 'We know that the claim that breastfed infants are sick less often than bottle-fed infants is false.', "Whenever it is true that the statement 'if the notion that 'if churchs are used for spiritual renewals, then if we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, then either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice' is untrue, then breastfed infants are sick less often than bottle-fed infants' can be considered false, 'frequent urination is a very small price to pay for upregulated energy enzymes' is true.", "Should it be the case that the statement 'if the notion that 'if churchs are used for spiritual renewals, then if we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, then either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice' is untrue, then breastfed infants are sick less often than bottle-fed infants' can be considered false, it follows that brambles have perennial root systems and biennial canes.", 'Once we know brambles have perennial root systems and biennial canes, we also know that some people mistakenly believe that frequent urination is a very small price to pay for upregulated energy enzymes.']
|
Assuming we know that the claim that negros are coloreds is false, we know that the statement, heart failure is a heart disease, does not hold. Should it be the case that we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, it follows that those that suggest either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice are wrong. The idea that churchs are used for spiritual renewals is true. We know that the claim that breastfed infants are sick less often than bottle-fed infants is false. Whenever it is true that the statement 'if the notion that 'if churchs are used for spiritual renewals, then if we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, then either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice' is untrue, then breastfed infants are sick less often than bottle-fed infants' can be considered false, 'frequent urination is a very small price to pay for upregulated energy enzymes' is true. Should it be the case that the statement 'if the notion that 'if churchs are used for spiritual renewals, then if we know that the claim that if we know that the claim that negros are coloreds is false, then heart failure is a heart disease is false, then either open clusters share in the galactic rotation or halothane administered by inhalation is the anesthetic of choice' is untrue, then breastfed infants are sick less often than bottle-fed infants' can be considered false, it follows that brambles have perennial root systems and biennial canes. Once we know brambles have perennial root systems and biennial canes, we also know that some people mistakenly believe that frequent urination is a very small price to pay for upregulated energy enzymes.
|
It is fair to say that negros are coloreds.
|
It is fair to say that negros are coloreds.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].). [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not (Either [2] or [3].).).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).). [SC1-3]
[4]
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].)..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5]. [SC1-4]
Not [5].
Therefore, If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5].).), then [6].
If (Not (If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5].).), then (Not [6].). [SC2-5]
Therefore, If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5]..
[SC2-5]
Hypothetical Syllogism:
If (Not (If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5].).), then [7].
If [7], then (Not [6].).
Therefore, If (Not (If (Not (If [4], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).).), then [5].).), then (Not [6].)..
|
{0: 'Negros are coloreds.', 1: 'Heart failure is a heart disease.', 2: 'Open clusters share in the galactic rotation.', 3: 'Halothane administered by inhalation is the anesthetic of choice.', 4: 'Churchs are used for spiritual renewals.', 5: 'Breastfed infants are sick less often than bottle-fed infants.', 6: 'Frequent urination is a very small price to pay for upregulated energy enzymes.', 7: 'Brambles have perennial root systems and biennial canes.'}
| 6 |
5,938 |
['At least one of two things is true: marmots cope with seasonality by hibernating, or either some hunters live in huts or if some medications can cause urinary retention, then animals serve as intermediate hosts.', 'The claim that marmots cope with seasonality by hibernating is false.', 'On the condition that some hunters live in huts, it is definitely the case that if gasses released from the water simply escape to the atmosphere through vents in the aerator cover, then antediluvian lightning is alive and well, and striking deep in the dark forest of the human psyche.', 'We know that either molds grow in soil, compost piles, rotting logs, and fallen leaves or if most termites appear in holes, then disorder impairs physical growth.', 'When molds grow in soil, compost piles, rotting logs, and fallen leaves is true, it follows that if if some medications can cause urinary retention, then animals serve as intermediate hosts, then mental development requires an alert mind.', 'Should it be the case that if gasses released from the water simply escape to the atmosphere through vents in the aerator cover, then antediluvian lightning is alive and well, and striking deep in the dark forest of the human psyche, it follows that sloths are located in museums.', "So long as sloths are located in museums, 'mental development requires an alert mind' is true.", 'Once we know vegetable gardens are used for eating, we also know that if if most termites appear in holes, then disorder impairs physical growth, then if if some medications can cause urinary retention, then animals serve as intermediate hosts, then mental development requires an alert mind.', 'The claim that vegetable gardens are used for eating holds true.']
|
At least one of two things is true: marmots cope with seasonality by hibernating, or either some hunters live in huts or if some medications can cause urinary retention, then animals serve as intermediate hosts. The claim that marmots cope with seasonality by hibernating is false. On the condition that some hunters live in huts, it is definitely the case that if gasses released from the water simply escape to the atmosphere through vents in the aerator cover, then antediluvian lightning is alive and well, and striking deep in the dark forest of the human psyche. We know that either molds grow in soil, compost piles, rotting logs, and fallen leaves or if most termites appear in holes, then disorder impairs physical growth. When molds grow in soil, compost piles, rotting logs, and fallen leaves is true, it follows that if if some medications can cause urinary retention, then animals serve as intermediate hosts, then mental development requires an alert mind. Should it be the case that if gasses released from the water simply escape to the atmosphere through vents in the aerator cover, then antediluvian lightning is alive and well, and striking deep in the dark forest of the human psyche, it follows that sloths are located in museums. So long as sloths are located in museums, 'mental development requires an alert mind' is true. Once we know vegetable gardens are used for eating, we also know that if if most termites appear in holes, then disorder impairs physical growth, then if if some medications can cause urinary retention, then animals serve as intermediate hosts, then mental development requires an alert mind. The claim that vegetable gardens are used for eating holds true.
|
The statement 'mental development requires an alert mind' is true.
|
The statement 'mental development requires an alert mind' is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [7] or (Either [1] or (If [2], then [3].).).
Not [7].
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then (If [8], then [9].).
If (If [8], then [9].), then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If (If [8], then [9].), then [10].
If [10], then [0].
Therefore, If (If [8], then [9].), then [0]..
[SC3-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (If (If [2], then [3].), then [0].).
If (If [5], then [6].), then (If (If [2], then [3].), then [0].). [SC3-2]
Therefore, If (If [2], then [3].), then [0]..
[SC3-2]
Modus Ponens:
If [11], then (If (If [5], then [6].), then (If (If [2], then [3].), then [0].).).
[11]
Therefore, If (If [5], then [6].), then (If (If [2], then [3].), then [0].)..
|
{0: 'Mental development requires an alert mind.', 1: 'Some hunters live in huts.', 2: 'Some medications can cause urinary retention.', 3: 'Animals serve as intermediate hosts.', 4: 'Molds grow in soil, compost piles, rotting logs, and fallen leaves.', 5: 'Most termites appear in holes.', 6: 'Disorder impairs physical growth.', 7: 'Marmots cope with seasonality by hibernating.', 8: 'Gasses released from the water simply escape to the atmosphere through vents in the aerator cover.', 9: 'Antediluvian lightning is alive and well, and striking deep in the dark forest of the human psyche.', 10: 'Sloths are located in museums.', 11: 'Vegetable gardens are used for eating.'}
| 6 |
5,924 |
['It is a fact that either electric utilities collect a lot of tax dollars for cities, schools and local government or interest rates are just one aspect of the economy that can affect stock prices.', 'We know that at least one of two things is true: if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, or censorship is practiced by other forces besides governments.', 'Should it be the case that censorship is practiced by other forces besides governments, it follows that if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems.', 'It is a common misconception that most generators supply electricity.', 'It is a fact that either some chemical reaction produces electricity or zebras have (part) ears.', 'If some chemical reaction produces electricity, then if if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, then if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems.', 'If zebras have (part) ears, then if if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, then if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems.', 'Provided that chemical digestion is completed in the small intestine, we know that either most generators supply electricity or if interest rates are just one aspect of the economy that can affect stock prices, then development threatens ecosystems.', 'Assuming most waterfalls are part of rivers, we know that either most generators supply electricity or if interest rates are just one aspect of the economy that can affect stock prices, then development threatens ecosystems.', "If we know that the claim that either chemical digestion is completed in the small intestine or most waterfalls are part of rivers is false, then either signage is a medium of advertising competing keenly for it's share of the business or customer service is also the face of the company, the people who talk to the customer.", "The claim that either signage is a medium of advertising competing keenly for it's share of the business or customer service is also the face of the company, the people who talk to the customer does not reflect reality."]
|
It is a fact that either electric utilities collect a lot of tax dollars for cities, schools and local government or interest rates are just one aspect of the economy that can affect stock prices. We know that at least one of two things is true: if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, or censorship is practiced by other forces besides governments. Should it be the case that censorship is practiced by other forces besides governments, it follows that if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems. It is a common misconception that most generators supply electricity. It is a fact that either some chemical reaction produces electricity or zebras have (part) ears. If some chemical reaction produces electricity, then if if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, then if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems. If zebras have (part) ears, then if if otitis media can also affect adults, although it is primarily a condition that occurs in children, then cutworms are caterpillars, then if electric utilities collect a lot of tax dollars for cities, schools and local government, then development threatens ecosystems. Provided that chemical digestion is completed in the small intestine, we know that either most generators supply electricity or if interest rates are just one aspect of the economy that can affect stock prices, then development threatens ecosystems. Assuming most waterfalls are part of rivers, we know that either most generators supply electricity or if interest rates are just one aspect of the economy that can affect stock prices, then development threatens ecosystems. If we know that the claim that either chemical digestion is completed in the small intestine or most waterfalls are part of rivers is false, then either signage is a medium of advertising competing keenly for it's share of the business or customer service is also the face of the company, the people who talk to the customer. The claim that either signage is a medium of advertising competing keenly for it's share of the business or customer service is also the face of the company, the people who talk to the customer does not reflect reality.
|
The statement 'development threatens ecosystems' is true.
|
Development is central to policy directed towards climate change.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (If [1], then [0].). [SC2-2]
If [5], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [3], then [4].), then (If [1], then [0].).).
If [8], then (If (If [3], then [4].), then (If [1], then [0].).).
Therefore, If (If [3], then [4].), then (If [1], then [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [6] or (If [2], then [0].). [SC1-2]
Not [6].
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10]. [SC1-3]
If [9], then (Either [6] or (If [2], then [0].).).
If [10], then (Either [6] or (If [2], then [0].).).
Therefore, Either [6] or (If [2], then [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either [9] or [10].).), then (Either [11] or [12].).
Not (Either [11] or [12].).
Therefore, Either [9] or [10]..
|
{0: 'Development threatens ecosystems.', 1: 'Electric utilities collect a lot of tax dollars for cities, schools and local government.', 2: 'Interest rates are just one aspect of the economy that can affect stock prices.', 3: 'Otitis media can also affect adults, although it is primarily a condition that occurs in children.', 4: 'Cutworms are caterpillars.', 5: 'Censorship is practiced by other forces besides governments.', 6: 'Most generators supply electricity.', 7: 'Some chemical reaction produces electricity.', 8: 'Zebras have (part) ears.', 9: 'Chemical digestion is completed in the small intestine.', 10: 'Most waterfalls are part of rivers.', 11: "Signage is a medium of advertising competing keenly for it's share of the business.", 12: 'Customer service is also the face of the company, the people who talk to the customer.'}
| 6 |
5,526 |
['It is a fact that either either alcohol removes stains from candles or sepals cover and protect the other flower parts when the flower is a bud or quality depends on many factors.', 'Once we know quality depends on many factors, we also know that if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution.', 'On the condition that college isa institution, it is definitely the case that love cures every ailment and is the healing balm to hatred.', "Assuming college isa institution, we know that the statement that 'love cures every ailment and is the healing balm to hatred' is incorrect.", 'When it is not true that if either alcohol removes stains from candles or sepals cover and protect the other flower parts when the flower is a bud, then some hoatzins eat fruit is true, it follows that contests see outcomes.', 'The claim that contests see outcomes is false.', 'At least one of two things is true: sugar causes excretion, or if transference is primarily an act of the mind, then supernatural entities require supernatural evidences.', "Whenever it is true that sugar causes excretion, 'if some hoatzins eat fruit, then if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution' is true.", 'Assuming if transference is primarily an act of the mind, then supernatural entities require supernatural evidences, we know that if some hoatzins eat fruit, then if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution.']
|
It is a fact that either either alcohol removes stains from candles or sepals cover and protect the other flower parts when the flower is a bud or quality depends on many factors. Once we know quality depends on many factors, we also know that if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution. On the condition that college isa institution, it is definitely the case that love cures every ailment and is the healing balm to hatred. Assuming college isa institution, we know that the statement that 'love cures every ailment and is the healing balm to hatred' is incorrect. When it is not true that if either alcohol removes stains from candles or sepals cover and protect the other flower parts when the flower is a bud, then some hoatzins eat fruit is true, it follows that contests see outcomes. The claim that contests see outcomes is false. At least one of two things is true: sugar causes excretion, or if transference is primarily an act of the mind, then supernatural entities require supernatural evidences. Whenever it is true that sugar causes excretion, 'if some hoatzins eat fruit, then if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution' is true. Assuming if transference is primarily an act of the mind, then supernatural entities require supernatural evidences, we know that if some hoatzins eat fruit, then if if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups, then college isa institution.
|
The notion that 'if some muscles involve in respiration, then sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups' is untrue.
|
Those that suggest muscles are irritable and susceptible to trigger point spasms are wrong.
|
Uncertain
|
Modus Tonens:
If (If [0], then [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (If (If [0], then [1].), then [2].). [SC2-2]
If [5], then (If (If [0], then [1].), then [2].).
Therefore, If (If [0], then [1].), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then [7]. [SC1-3]
If [7], then (If (If [0], then [1].), then [2].). [SC2-3]
Therefore, If (Either [3] or [4].), then (If (If [0], then [1].), then [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Either [3] or [4].), then [7].).), then [11].
Not [11].
Therefore, If (Either [3] or [4].), then [7]..
[SC2-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If [7], then (If (If [0], then [1].), then [2].).).
If (If [9], then [10].), then (If [7], then (If (If [0], then [1].), then [2].).).
Therefore, If [7], then (If (If [0], then [1].), then [2].)..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [6].
If [2], then (Not [6].).
Therefore, Not [2]..
|
{0: 'Some muscles involve in respiration.', 1: 'Sadomasochists often treasure leather, and find it propitious to celebrate their rituals in groups.', 2: 'College isa institution.', 3: 'Alcohol removes stains from candles.', 4: 'Sepals cover and protect the other flower parts when the flower is a bud.', 5: 'Quality depends on many factors.', 6: 'Love cures every ailment and is the healing balm to hatred.', 7: 'Some hoatzins eat fruit.', 8: 'Sugar causes excretion.', 9: 'Transference is primarily an act of the mind.', 10: 'Supernatural entities require supernatural evidences.', 11: 'Contests see outcomes.'}
| 6 |
5,020 |
['If earth has effects, then potties have (part) brims.', "So long as either most wire has copper or impalas spend much time in bushy habitat, are unusually alert to possible danger, 'if potties have (part) brims, then japan has a long tradition of producing quality animation' is true.", 'It is a fact that either most wire has copper or impalas spend much time in bushy habitat, are unusually alert to possible danger.', 'There is good reason to believe that either palladium is a grey metal with very similar properties to platinum or if infertility causes psychological pain, then leadership is one of the hottest topics in business and professional organizations.', "Whenever it is true that palladium is a grey metal with very similar properties to platinum, 'either if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim or we know that the claim that japan has a long tradition of producing quality animation is false' is true.", "Whenever it is true that if infertility causes psychological pain, then leadership is one of the hottest topics in business and professional organizations, 'either if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim or we know that the claim that japan has a long tradition of producing quality animation is false' is true.", 'Either one or both of these statements are true: optical scanners have difficulty reading information that is bold, underlined, or italicized, or visual representation plays an important role in the construction of archaeological reality.', 'Should it be the case that optical scanners have difficulty reading information that is bold, underlined, or italicized, it follows that we know that the claim that if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim is false.', 'Given that visual representation plays an important role in the construction of archaeological reality, it can be inferred that we know that the claim that if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim is false.']
|
If earth has effects, then potties have (part) brims. So long as either most wire has copper or impalas spend much time in bushy habitat, are unusually alert to possible danger, 'if potties have (part) brims, then japan has a long tradition of producing quality animation' is true. It is a fact that either most wire has copper or impalas spend much time in bushy habitat, are unusually alert to possible danger. There is good reason to believe that either palladium is a grey metal with very similar properties to platinum or if infertility causes psychological pain, then leadership is one of the hottest topics in business and professional organizations. Whenever it is true that palladium is a grey metal with very similar properties to platinum, 'either if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim or we know that the claim that japan has a long tradition of producing quality animation is false' is true. Whenever it is true that if infertility causes psychological pain, then leadership is one of the hottest topics in business and professional organizations, 'either if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim or we know that the claim that japan has a long tradition of producing quality animation is false' is true. Either one or both of these statements are true: optical scanners have difficulty reading information that is bold, underlined, or italicized, or visual representation plays an important role in the construction of archaeological reality. Should it be the case that optical scanners have difficulty reading information that is bold, underlined, or italicized, it follows that we know that the claim that if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim is false. Given that visual representation plays an important role in the construction of archaeological reality, it can be inferred that we know that the claim that if most carbon monoxide has effects, then arabic expressions are also widely used, as the majority of the population is Muslim is false.
|
The notion that 'earth has effects' is untrue.
|
The statement that 'earth is the source of nourishment and can generate all other elements' is incorrect.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [4].
If [4], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If (Either [10] or [11].), then (If [4], then [1].).
Either [10] or [11].
Therefore, If [4], 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]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Either (If [2], then [3].) or (Not [1].).).
If (If [6], then [7].), then (Either (If [2], then [3].) or (Not [1].).).
Therefore, Either (If [2], then [3].) or (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not (If [2], then [3].).).
If [9], then (Not (If [2], then [3].).).
Therefore, Not (If [2], then [3].)..
|
{0: 'Earth has effects.', 1: 'Japan has a long tradition of producing quality animation.', 2: 'Most carbon monoxide has effects.', 3: 'Arabic expressions are also widely used, as the majority of the population is Muslim.', 4: 'Potties have (part) brims.', 5: 'Palladium is a grey metal with very similar properties to platinum.', 6: 'Infertility causes psychological pain.', 7: 'Leadership is one of the hottest topics in business and professional organizations.', 8: 'Optical scanners have difficulty reading information that is bold, underlined, or italicized.', 9: 'Visual representation plays an important role in the construction of archaeological reality.', 10: 'Most wire has copper.', 11: 'Impalas spend much time in bushy habitat, are unusually alert to possible danger.'}
| 6 |
5,905 |
["Provided that the statement 'if pacemakers are radioactive and can explode during cremation, then if pandemics are global epidemics, then some women are sentenced to death' can be considered false, we know that some skin is protected by bony plates.", 'There is good reason to believe that either many alkaloids are toxic or some societies possess dogs.', 'Once we know many alkaloids are toxic, we also know that the claim that some skin is protected by bony plates does not reflect reality.', 'One may reasonably assume that if some societies possess dogs, then the claim that some skin is protected by bony plates does not reflect reality.', 'Should it be the case that global health supports security interest, it follows that if pacemakers are radioactive and can explode during cremation, then sisters have (part) corpi.', "The statement 'global health supports security interest' can be considered true.", 'We know that at least one of two things is true: cultural change is an evolutionary process acting on WITs, or if republicans believe in investing in education, then tranquillizers Enhances sedative effect, impairs alertness and judgement.', 'On the condition that cultural change is an evolutionary process acting on WITs, it is definitely the case that if sisters have (part) corpi, then it is not the case that if pandemics are global epidemics, then some women are sentenced to death.', 'Once we know if republicans believe in investing in education, then tranquillizers Enhances sedative effect, impairs alertness and judgement, we also know that if sisters have (part) corpi, then it is not the case that if pandemics are global epidemics, then some women are sentenced to death.']
|
Provided that the statement 'if pacemakers are radioactive and can explode during cremation, then if pandemics are global epidemics, then some women are sentenced to death' can be considered false, we know that some skin is protected by bony plates. There is good reason to believe that either many alkaloids are toxic or some societies possess dogs. Once we know many alkaloids are toxic, we also know that the claim that some skin is protected by bony plates does not reflect reality. One may reasonably assume that if some societies possess dogs, then the claim that some skin is protected by bony plates does not reflect reality. Should it be the case that global health supports security interest, it follows that if pacemakers are radioactive and can explode during cremation, then sisters have (part) corpi. The statement 'global health supports security interest' can be considered true. We know that at least one of two things is true: cultural change is an evolutionary process acting on WITs, or if republicans believe in investing in education, then tranquillizers Enhances sedative effect, impairs alertness and judgement. On the condition that cultural change is an evolutionary process acting on WITs, it is definitely the case that if sisters have (part) corpi, then it is not the case that if pandemics are global epidemics, then some women are sentenced to death. Once we know if republicans believe in investing in education, then tranquillizers Enhances sedative effect, impairs alertness and judgement, we also know that if sisters have (part) corpi, then it is not the case that if pandemics are global epidemics, then some women are sentenced to death.
|
The statement that 'pacemakers are radioactive and can explode during cremation' is incorrect.
|
The statement that 'pacemakers are radioactive and can explode during cremation' is incorrect.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then (If [1], then [2].). [SC1-1]
If [0], then (Not (If [1], then [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then (If [1], then [2].).).), then [4].
Not [4]. [SC2-2]
Therefore, If [0], then (If [1], then [2].)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [4].).
If [9], then (Not [4].).
Therefore, Not [4]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then (Not (If [1], then [2].).). [SC2-2]
Therefore, If [0], then (Not (If [1], then [2].).)..
[SC1-2]
Modus Ponens:
If [10], then (If [0], then [3].).
[10]
Therefore, If [0], then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [3], then (Not (If [1], then [2].).).).
If (If [6], then [7].), then (If [3], then (Not (If [1], then [2].).).).
Therefore, If [3], then (Not (If [1], then [2].).)..
|
{0: 'Pacemakers are radioactive and can explode during cremation.', 1: 'Pandemics are global epidemics.', 2: 'Some women are sentenced to death.', 3: 'Sisters have (part) corpi.', 4: 'Some skin is protected by bony plates.', 5: 'Cultural change is an evolutionary process acting on WITs.', 6: 'Republicans believe in investing in education.', 7: 'Tranquillizers Enhances sedative effect, impairs alertness and judgement.', 8: 'Many alkaloids are toxic.', 9: 'Some societies possess dogs.', 10: 'Global health supports security interest.'}
| 6 |
5,380 |
["So long as the claim that if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then the statement that 'if toy trains are located in toy stores, then some birds migrate to Asia' is incorrect does not correspond with reality, 'whale sharks defy the stereotypical image of sharks as ferocious hunters' is true.", "Should it be the case that the claim that if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then the statement that 'if toy trains are located in toy stores, then some birds migrate to Asia' is incorrect does not correspond with reality, it follows that the statement 'whale sharks defy the stereotypical image of sharks as ferocious hunters' can be considered false.", 'One may reasonably assume that if the claim that if sale managers work with organizations, then if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then if toy trains are located in toy stores, then some birds migrate to Asia has no merit, then exercise extends the blood to the smallest vessels, deeply nourishing the body.', 'One may reasonably assume that if the claim that if sale managers work with organizations, then if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then if toy trains are located in toy stores, then some birds migrate to Asia has no merit, then those that suggest exercise extends the blood to the smallest vessels, deeply nourishing the body are wrong.', 'Assuming it is a common misconception that sale managers work with organizations, we know that it is a common misconception that camping is a field built on personal relationships and value systems.', "Whenever it is true that the statement 'if it is a common misconception that sale managers work with organizations, then camping is a field built on personal relationships and value systems' can be considered false, 'oral cancer can metastasize to distant tissue and vital organs and can be fatal' is true.", "Assuming the statement 'if it is a common misconception that sale managers work with organizations, then camping is a field built on personal relationships and value systems' can be considered false, we know that we know that the claim that oral cancer can metastasize to distant tissue and vital organs and can be fatal is false."]
|
So long as the claim that if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then the statement that 'if toy trains are located in toy stores, then some birds migrate to Asia' is incorrect does not correspond with reality, 'whale sharks defy the stereotypical image of sharks as ferocious hunters' is true. Should it be the case that the claim that if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then the statement that 'if toy trains are located in toy stores, then some birds migrate to Asia' is incorrect does not correspond with reality, it follows that the statement 'whale sharks defy the stereotypical image of sharks as ferocious hunters' can be considered false. One may reasonably assume that if the claim that if sale managers work with organizations, then if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then if toy trains are located in toy stores, then some birds migrate to Asia has no merit, then exercise extends the blood to the smallest vessels, deeply nourishing the body. One may reasonably assume that if the claim that if sale managers work with organizations, then if we know that the claim that surgery is often the first line of defense in dealing with cancer, even in more advanced disease is false, then if toy trains are located in toy stores, then some birds migrate to Asia has no merit, then those that suggest exercise extends the blood to the smallest vessels, deeply nourishing the body are wrong. Assuming it is a common misconception that sale managers work with organizations, we know that it is a common misconception that camping is a field built on personal relationships and value systems. Whenever it is true that the statement 'if it is a common misconception that sale managers work with organizations, then camping is a field built on personal relationships and value systems' can be considered false, 'oral cancer can metastasize to distant tissue and vital organs and can be fatal' is true. Assuming the statement 'if it is a common misconception that sale managers work with organizations, then camping is a field built on personal relationships and value systems' can be considered false, we know that we know that the claim that oral cancer can metastasize to distant tissue and vital organs and can be fatal is false.
|
It is fair to say that surgery is often the first line of defense in dealing with cancer, even in more advanced disease.
|
It is fair to say that surgery is often the first line of defense in dealing with cancer, even in more advanced disease.
|
TRUE
|
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]
Modus Ponens:
If [4], then (If (Not [0].), then (If [1], then [2].).). [SC1-2]
[4] [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not [0].), then (If [1], then [2].).).).), then [6].
If (Not (If [4], then (If (Not [0].), then (If [1], then [2].).).).), then (Not [6].).
Therefore, If [4], then (If (Not [0].), then (If [1], then [2].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [5]. [SC1-3]
If (Not [4].), then (Not [5].).
Therefore, [4].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [4].), then [5].).), then [7].
If (Not (If (Not [4].), then [5].).), then (Not [7].).
Therefore, If (Not [4].), then [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then (Not [3].).
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
|
{0: 'Surgery is often the first line of defense in dealing with cancer, even in more advanced disease.', 1: 'Toy trains are located in toy stores.', 2: 'Some birds migrate to Asia.', 3: 'Whale sharks defy the stereotypical image of sharks as ferocious hunters.', 4: 'Sale managers work with organizations.', 5: 'Camping is a field built on personal relationships and value systems.', 6: 'Exercise extends the blood to the smallest vessels, deeply nourishing the body.', 7: 'Oral cancer can metastasize to distant tissue and vital organs and can be fatal.'}
| 6 |
5,420 |
['On the condition that lures caught in trees or rocks can come loose when yanked and fly at high speeds, it is definitely the case that if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then international law is more than a group of vague concepts or general principles.', 'It is rational to agree that lures caught in trees or rocks can come loose when yanked and fly at high speeds.', 'If chitin is found in yeasts, fungi, animals, and plants, then if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then the claim that international law is more than a group of vague concepts or general principles does not reflect reality.', 'Assuming frostbite is the freezing of skin or underlying tissues that occurs from prolonged exposure to cold, we know that if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then the claim that international law is more than a group of vague concepts or general principles does not reflect reality.', 'Should it be the case that it is a common misconception that either chitin is found in yeasts, fungi, animals, and plants or frostbite is the freezing of skin or underlying tissues that occurs from prolonged exposure to cold, it follows that warm fronts have warm air moving faster than cold air and colliding with it.', 'Assuming editors have (part) body substances, we know that the claim that warm fronts have warm air moving faster than cold air and colliding with it is false.', 'Provided that the statement that states editors have (part) body substances is false, we know that approaches include attention.', 'Those that suggest approaches include attention are wrong.']
|
On the condition that lures caught in trees or rocks can come loose when yanked and fly at high speeds, it is definitely the case that if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then international law is more than a group of vague concepts or general principles. It is rational to agree that lures caught in trees or rocks can come loose when yanked and fly at high speeds. If chitin is found in yeasts, fungi, animals, and plants, then if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then the claim that international law is more than a group of vague concepts or general principles does not reflect reality. Assuming frostbite is the freezing of skin or underlying tissues that occurs from prolonged exposure to cold, we know that if it is not the case that infant formulas act as a nutritional source for infants less than one year of age, then the claim that international law is more than a group of vague concepts or general principles does not reflect reality. Should it be the case that it is a common misconception that either chitin is found in yeasts, fungi, animals, and plants or frostbite is the freezing of skin or underlying tissues that occurs from prolonged exposure to cold, it follows that warm fronts have warm air moving faster than cold air and colliding with it. Assuming editors have (part) body substances, we know that the claim that warm fronts have warm air moving faster than cold air and colliding with it is false. Provided that the statement that states editors have (part) body substances is false, we know that approaches include attention. Those that suggest approaches include attention are wrong.
|
It is reasonable to believe that infant formulas act as a nutritional source for infants less than one year of age.
|
It is reasonable to believe that infant formulas act as a nutritional source for infants less than one year of age.
|
TRUE
|
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].).
[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].).).
If [4], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [5].
Not [5]. [SC2-3]
Therefore, Either [3] or [4]..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].).
[6] [SC2-4]
Therefore, Not [5]..
[SC2-4]
Modus Tonens:
If (Not [6].), then [7].
Not [7].
Therefore, [6].
|
{0: 'Infant formulas act as a nutritional source for infants less than one year of age.', 1: 'International law is more than a group of vague concepts or general principles.', 2: 'Lures caught in trees or rocks can come loose when yanked and fly at high speeds.', 3: 'Chitin is found in yeasts, fungi, animals, and plants.', 4: 'Frostbite is the freezing of skin or underlying tissues that occurs from prolonged exposure to cold.', 5: 'Warm fronts have warm air moving faster than cold air and colliding with it.', 6: 'Editors have (part) body substances.', 7: 'Approaches include attention.'}
| 6 |
5,285 |
["Whenever it is true that perianths have (part) sepals, 'the statement that states smoked trout is kin to smoked salmon with a more subtle flavour is false' is true.", 'Assuming mites are almost microscopic and best seen with a hand lens or magnifying glass, we know that the statement that states smoked trout is kin to smoked salmon with a more subtle flavour is false.', "Whenever it is true that it is not the case that either perianths have (part) sepals or mites are almost microscopic and best seen with a hand lens or magnifying glass, 'if toucans are considered soft bill birds because the food they eat is soft, then carbon dioxide is a waste product exhaled by humans, but they ingest it when they drink cola drinks' is true.", "We know that at least one of two things is true: if international trade is a vital component of our economic strength at home and abroad, then intensity shading applies a palette as a function of data value or luminance, or either colors affect moods and emotions or if it is not the case that either perianths have (part) sepals or mites are almost microscopic and best seen with a hand lens or magnifying glass, then the statement that 'if toucans are considered soft bill birds because the food they eat is soft, then carbon dioxide is a waste product exhaled by humans, but they ingest it when they drink cola drinks' is incorrect.", 'The claim that if international trade is a vital component of our economic strength at home and abroad, then intensity shading applies a palette as a function of data value or luminance does not correspond with reality.', 'It is the case that plants are slow to re-establish.', "Once we know the statement that states if plants are slow to re-establish, then the statement 'colors affect moods and emotions' can be considered false is false, we also know that either mating systems are highly fluid evolutionary entities or alligators have requirements.", 'The claim that either mating systems are highly fluid evolutionary entities or alligators have requirements has no merit.']
|
Whenever it is true that perianths have (part) sepals, 'the statement that states smoked trout is kin to smoked salmon with a more subtle flavour is false' is true. Assuming mites are almost microscopic and best seen with a hand lens or magnifying glass, we know that the statement that states smoked trout is kin to smoked salmon with a more subtle flavour is false. Whenever it is true that it is not the case that either perianths have (part) sepals or mites are almost microscopic and best seen with a hand lens or magnifying glass, 'if toucans are considered soft bill birds because the food they eat is soft, then carbon dioxide is a waste product exhaled by humans, but they ingest it when they drink cola drinks' is true. We know that at least one of two things is true: if international trade is a vital component of our economic strength at home and abroad, then intensity shading applies a palette as a function of data value or luminance, or either colors affect moods and emotions or if it is not the case that either perianths have (part) sepals or mites are almost microscopic and best seen with a hand lens or magnifying glass, then the statement that 'if toucans are considered soft bill birds because the food they eat is soft, then carbon dioxide is a waste product exhaled by humans, but they ingest it when they drink cola drinks' is incorrect. The claim that if international trade is a vital component of our economic strength at home and abroad, then intensity shading applies a palette as a function of data value or luminance does not correspond with reality. It is the case that plants are slow to re-establish. Once we know the statement that states if plants are slow to re-establish, then the statement 'colors affect moods and emotions' can be considered false is false, we also know that either mating systems are highly fluid evolutionary entities or alligators have requirements. The claim that either mating systems are highly fluid evolutionary entities or alligators have requirements has no merit.
|
The statement that states smoked trout is kin to smoked salmon with a more subtle flavour is false.
|
It is fair to say that smoked trout is kin to smoked salmon with a more subtle flavour.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (If [3], then [4].).
If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).)..
[SC1-3]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Either [5] or (If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).).).).
Not (If [6], then [7].).
Therefore, Either [5] or (If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).).)..
[SC2-3]
Modus Ponens:
If [8], then (Not [5].). [SC1-4]
[8]
Therefore, Not [5]..
[SC1-4]
Modus Tonens:
If (Not (If [8], then (Not [5].).).), then (Either [9] or [10].).
Not (Either [9] or [10].).
Therefore, If [8], then (Not [5].)..
|
{0: 'Smoked trout is kin to smoked salmon with a more subtle flavour.', 1: 'Perianths have (part) sepals.', 2: 'Mites are almost microscopic and best seen with a hand lens or magnifying glass.', 3: 'Toucans are considered soft bill birds because the food they eat is soft.', 4: 'Carbon dioxide is a waste product exhaled by humans, but they ingest it when they drink cola drinks.', 5: 'Colors affect moods and emotions.', 6: 'International trade is a vital component of our economic strength at home and abroad.', 7: 'Intensity shading applies a palette as a function of data value or luminance.', 8: 'Plants are slow to re-establish.', 9: 'Mating systems are highly fluid evolutionary entities.', 10: 'Alligators have requirements.'}
| 6 |
5,071 |
['Those that suggest tuberculosis is the second leading infectious-disease killer that knows no boundaries are wrong.', 'When most plants have waxy leaves is true, it follows that if some roses fall decidedly on the violet side of pink, having no discernable red, then if the statement that states mechanisms have limits is false, then tuberculosis is the second leading infectious-disease killer that knows no boundaries.', 'The idea that most plants have waxy leaves is true.', 'We know that the claim that heaths are open areas is false.', "Whenever it is true that magnetic ink is ink, 'heaths are open areas' is true.", 'Given that long days promote vine growth while shortening days induce root development, it can be inferred that some roses fall decidedly on the violet side of pink, having no discernable red.', "So long as the claim that either magnetic ink is ink or long days promote vine growth while shortening days induce root development has no merit, 'either nucleosides are nucleotides without the phosphate groups or a luminary is a celebrity' is true.", 'Once we know the claim that either magnetic ink is ink or long days promote vine growth while shortening days induce root development has no merit, we also know that the claim that either nucleosides are nucleotides without the phosphate groups or a luminary is a celebrity does not correspond with reality.']
|
Those that suggest tuberculosis is the second leading infectious-disease killer that knows no boundaries are wrong. When most plants have waxy leaves is true, it follows that if some roses fall decidedly on the violet side of pink, having no discernable red, then if the statement that states mechanisms have limits is false, then tuberculosis is the second leading infectious-disease killer that knows no boundaries. The idea that most plants have waxy leaves is true. We know that the claim that heaths are open areas is false. Whenever it is true that magnetic ink is ink, 'heaths are open areas' is true. Given that long days promote vine growth while shortening days induce root development, it can be inferred that some roses fall decidedly on the violet side of pink, having no discernable red. So long as the claim that either magnetic ink is ink or long days promote vine growth while shortening days induce root development has no merit, 'either nucleosides are nucleotides without the phosphate groups or a luminary is a celebrity' is true. Once we know the claim that either magnetic ink is ink or long days promote vine growth while shortening days induce root development has no merit, we also know that the claim that either nucleosides are nucleotides without the phosphate groups or a luminary is a celebrity does not correspond with reality.
|
It is a simple truth that mechanisms have limits.
|
Those that suggest mechanisms have limits are wrong.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [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]
Modus Ponens:
If [3], then (If [2], then (If (Not [0].), then [1].).).
[3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [2]. [SC1-3]
Not [4].
Therefore, [2].
[SC1-3]
Constructive Dilemma:
Either [5] or [6]. [SC1-4]
If [5], then [4].
If [6], then [2].
Therefore, Either [4] or [2]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [5] or [6].).), then (Either [7] or [8].).
If (Not (Either [5] or [6].).), then (Not (Either [7] or [8].).).
Therefore, Either [5] or [6]..
|
{0: 'Mechanisms have limits.', 1: 'Tuberculosis is the second leading infectious-disease killer that knows no boundaries.', 2: 'Some roses fall decidedly on the violet side of pink, having no discernable red.', 3: 'Most plants have waxy leaves.', 4: 'Heaths are open areas.', 5: 'Magnetic ink is ink.', 6: 'Long days promote vine growth while shortening days induce root development.', 7: 'Nucleosides are nucleotides without the phosphate groups.', 8: 'A luminary is a celebrity.'}
| 6 |
5,049 |
['Either one or both of these statements are true: divers carry torches at night, or some frogs obtain poison.', 'Given that divers carry torches at night, it can be inferred that an occultist is a person.', 'On the condition that tropical cyclones are low pressure storms in the tropics, it is definitely the case that if some frogs obtain poison, then an occultist is a person.', 'One may reasonably assume that if adult warblers tend to migrate earlier than many realize, then tropical cyclones are low pressure storms in the tropics.', 'One may reasonably assume that if we know that the claim that either adult warblers tend to migrate earlier than many realize or either many ecological processes accelerate including decomposition of manure or hamsters enjoy having fun is false, then science encourages children.', "The notion that 'science encourages children' is untrue.", 'Assuming the claim that if either many ecological processes accelerate including decomposition of manure or hamsters enjoy having fun, then tropical cyclones are low pressure storms in the tropics does not reflect reality, we know that some turtles migrate to habitats.', 'It is rational to believe that either cones are the ones that are unevenly distributed or it is not the case that some turtles migrate to habitats.', 'The claim that cones are the ones that are unevenly distributed does not reflect reality.']
|
Either one or both of these statements are true: divers carry torches at night, or some frogs obtain poison. Given that divers carry torches at night, it can be inferred that an occultist is a person. On the condition that tropical cyclones are low pressure storms in the tropics, it is definitely the case that if some frogs obtain poison, then an occultist is a person. One may reasonably assume that if adult warblers tend to migrate earlier than many realize, then tropical cyclones are low pressure storms in the tropics. One may reasonably assume that if we know that the claim that either adult warblers tend to migrate earlier than many realize or either many ecological processes accelerate including decomposition of manure or hamsters enjoy having fun is false, then science encourages children. The notion that 'science encourages children' is untrue. Assuming the claim that if either many ecological processes accelerate including decomposition of manure or hamsters enjoy having fun, then tropical cyclones are low pressure storms in the tropics does not reflect reality, we know that some turtles migrate to habitats. It is rational to believe that either cones are the ones that are unevenly distributed or it is not the case that some turtles migrate to habitats. The claim that cones are the ones that are unevenly distributed does not reflect reality.
|
The idea that an occultist is a person is true.
|
The idea that an occultist is a person is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].).
[3] [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-3]
If [4], then [3].
If (Either [5] or [6].), then [3]. [SC3-3]
Therefore, [3].
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (Either [5] or [6].).).), then [7].
Not [7].
Therefore, Either [4] or (Either [5] or [6].)..
[SC3-3]
Modus Tonens:
If (Not (If (Either [5] or [6].), then [3].).), then [8].
Not [8]. [SC2-4]
Therefore, If (Either [5] or [6].), then [3]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not [8].).
Not [9].
Therefore, Not [8]..
|
{0: 'An occultist is a person.', 1: 'Divers carry torches at night.', 2: 'Some frogs obtain poison.', 3: 'Tropical cyclones are low pressure storms in the tropics.', 4: 'Adult warblers tend to migrate earlier than many realize.', 5: 'Many ecological processes accelerate including decomposition of manure.', 6: 'Hamsters enjoy having fun.', 7: 'Science encourages children.', 8: 'Some turtles migrate to habitats.', 9: 'Cones are the ones that are unevenly distributed.'}
| 6 |
5,179 |
['We know that either some spiders attack sheep or larger trees have larger leaf surface areas, resulting in larger spruce budworm populations.', 'When some spiders attack sheep is true, it follows that dental disease is also a problem in older pets.', 'There is good reason to believe that either bats clean themselves with their tongue or if the claim that if larger trees have larger leaf surface areas, resulting in larger spruce budworm populations, then dental disease is also a problem in older pets does not correspond with reality, then either physicians obtain specimens or deflation occurs when too little money chases too many goods for too long.', 'The claim that bats clean themselves with their tongue does not reflect reality.', 'It is not the case that if worms swallow food, then punctuality is important for foreign businesspeople.', "Should it be the case that the claim that if the statement that 'if the claim that if larger trees have larger leaf surface areas, resulting in larger spruce budworm populations, then dental disease is also a problem in older pets does not correspond with reality, then the notion that 'either physicians obtain specimens or deflation occurs when too little money chases too many goods for too long' is untrue' is incorrect, then if worms swallow food, then punctuality is important for foreign businesspeople does not reflect reality, it follows that echinoderms live in water.", 'We know that at least one of two things is true: electrical charge provides the primary basis for chemical reactions, or it is not the case that echinoderms live in water.', 'The statement, electrical charge provides the primary basis for chemical reactions, does not hold.']
|
We know that either some spiders attack sheep or larger trees have larger leaf surface areas, resulting in larger spruce budworm populations. When some spiders attack sheep is true, it follows that dental disease is also a problem in older pets. There is good reason to believe that either bats clean themselves with their tongue or if the claim that if larger trees have larger leaf surface areas, resulting in larger spruce budworm populations, then dental disease is also a problem in older pets does not correspond with reality, then either physicians obtain specimens or deflation occurs when too little money chases too many goods for too long. The claim that bats clean themselves with their tongue does not reflect reality. It is not the case that if worms swallow food, then punctuality is important for foreign businesspeople. Should it be the case that the claim that if the statement that 'if the claim that if larger trees have larger leaf surface areas, resulting in larger spruce budworm populations, then dental disease is also a problem in older pets does not correspond with reality, then the notion that 'either physicians obtain specimens or deflation occurs when too little money chases too many goods for too long' is untrue' is incorrect, then if worms swallow food, then punctuality is important for foreign businesspeople does not reflect reality, it follows that echinoderms live in water. We know that at least one of two things is true: electrical charge provides the primary basis for chemical reactions, or it is not the case that echinoderms live in water. The statement, electrical charge provides the primary basis for chemical reactions, does not hold.
|
It is true that dental disease is also a problem in older pets.
|
It is true that dental disease is also a problem in older pets.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then (Either [3] or [4].). [SC1-2]
If (Not (If [2], then [0].).), then (Not (Either [3] or [4].).). [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If [2], then [0].).), then (Either [3] or [4].).).
Not [7].
Therefore, If (Not (If [2], then [0].).), then (Either [3] or [4].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then (Not (Either [3] or [4].).).).), then (If [5], then [6].). [SC1-3]
Not (If [5], then [6].).
Therefore, If (Not (If [2], then [0].).), then (Not (Either [3] or [4].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [0].).), then (Not (Either [3] or [4].).).).), then (If [5], then [6].).).), then [8].
Not [8]. [SC2-4]
Therefore, If (Not (If (Not (If [2], then [0].).), then (Not (Either [3] or [4].).).).), then (If [5], then [6].)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not [8].).
Not [9].
Therefore, Not [8]..
|
{0: 'Dental disease is also a problem in older pets.', 1: 'Some spiders attack sheep.', 2: 'Larger trees have larger leaf surface areas, resulting in larger spruce budworm populations.', 3: 'Physicians obtain specimens.', 4: 'Deflation occurs when too little money chases too many goods for too long.', 5: 'Worms swallow food.', 6: 'Punctuality is important for foreign businesspeople.', 7: 'Bats clean themselves with their tongue.', 8: 'Echinoderms live in water.', 9: 'Electrical charge provides the primary basis for chemical reactions.'}
| 6 |
5,506 |
["Whenever it is true that it is not the case that if a street sweeper is a cleaner, then some lionesses stalk newborn calves, 'a fondue is a dish' is true.", "The statement that 'a fondue is a dish' is incorrect.", "Should it be the case that africa has (part) Somalia, it follows that if some people say it is the dead who are unhappy about where they are buried, then the notion that 'some lionesses stalk newborn calves' is untrue.", 'Many people rightly believe that africa has (part) Somalia.', "Whenever it is true that it is not the case that some people say it is the dead who are unhappy about where they are buried, 'archs are curves' is true.", 'It is rational to believe that either a methodology is epistemology or the claim that archs are curves does not reflect reality.', 'Some people mistakenly believe that a methodology is epistemology.']
|
Whenever it is true that it is not the case that if a street sweeper is a cleaner, then some lionesses stalk newborn calves, 'a fondue is a dish' is true. The statement that 'a fondue is a dish' is incorrect. Should it be the case that africa has (part) Somalia, it follows that if some people say it is the dead who are unhappy about where they are buried, then the notion that 'some lionesses stalk newborn calves' is untrue. Many people rightly believe that africa has (part) Somalia. Whenever it is true that it is not the case that some people say it is the dead who are unhappy about where they are buried, 'archs are curves' is true. It is rational to believe that either a methodology is epistemology or the claim that archs are curves does not reflect reality. Some people mistakenly believe that a methodology is epistemology.
|
It is not true that a street sweeper is a cleaner.
|
The statement that states a street sweeper is a cleaner is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [3].
Not [3].
Therefore, If [0], then [1]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [4], then (If [2], then (Not [1].).).
[4]
Therefore, If [2], then (Not [1].)..
[SC2-2]
Modus Tonens:
If (Not [2].), then [5].
Not [5]. [SC2-3]
Therefore, [2].
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
|
{0: 'A street sweeper is a cleaner.', 1: 'Some lionesses stalk newborn calves.', 2: 'Some people say it is the dead who are unhappy about where they are buried.', 3: 'A fondue is a dish.', 4: 'Africa has (part) Somalia.', 5: 'Archs are curves.', 6: 'A methodology is epistemology.'}
| 6 |
5,929 |
["Should it be the case that the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, it follows that male orangutans have physical development.", "Given that if an increase is an amount, then nutrients support plant life, it can be inferred that if the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, then it is a common misconception that male orangutans have physical development.", 'It is rational to believe that either american redstarts are transient migrants, but are sometimes numerous, especially in the fall or drip irrigation is regarded more efficient as less water evaporated as in spray irrigation.', 'On the condition that american redstarts are transient migrants, but are sometimes numerous, especially in the fall, it is definitely the case that preverbal constructs can produce psychosomatic disorders.', "When surface tension plays a big part in fisheyeing is true, it follows that if preverbal constructs can produce psychosomatic disorders, then if the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, then it is a common misconception that male orangutans have physical development.", 'One may reasonably assume that if drip irrigation is regarded more efficient as less water evaporated as in spray irrigation, then truth comes by knowledge and understanding.', "So long as truth comes by knowledge and understanding, 'if an increase is an amount, then nutrients support plant life' is true.", 'Either worms can only take a small particle of soft moistened food in their mouth or surface tension plays a big part in fisheyeing.', 'The claim that worms can only take a small particle of soft moistened food in their mouth is false.']
|
Should it be the case that the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, it follows that male orangutans have physical development. Given that if an increase is an amount, then nutrients support plant life, it can be inferred that if the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, then it is a common misconception that male orangutans have physical development. It is rational to believe that either american redstarts are transient migrants, but are sometimes numerous, especially in the fall or drip irrigation is regarded more efficient as less water evaporated as in spray irrigation. On the condition that american redstarts are transient migrants, but are sometimes numerous, especially in the fall, it is definitely the case that preverbal constructs can produce psychosomatic disorders. When surface tension plays a big part in fisheyeing is true, it follows that if preverbal constructs can produce psychosomatic disorders, then if the statement that 'aggravated assault occurs when a victim is attacked by physical means' is incorrect, then it is a common misconception that male orangutans have physical development. One may reasonably assume that if drip irrigation is regarded more efficient as less water evaporated as in spray irrigation, then truth comes by knowledge and understanding. So long as truth comes by knowledge and understanding, 'if an increase is an amount, then nutrients support plant life' is true. Either worms can only take a small particle of soft moistened food in their mouth or surface tension plays a big part in fisheyeing. The claim that worms can only take a small particle of soft moistened food in their mouth is false.
|
It is a simple truth that aggravated assault occurs when a victim is attacked by physical means.
|
It is not true that aggravated assault occurs when a victim is attacked by physical means.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[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].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then [2].
If [7], then (If [3], then [4].). [SC3-3]
Therefore, Either [2] or (If [3], then [4].)..
[SC3-3]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If [3], then [4].).
Therefore, If [7], then (If [3], then [4].)..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (If (Not [0].), then (Not [1].).).).
[5] [SC2-3]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [5].
Not [9].
Therefore, [5].
|
{0: 'Aggravated assault occurs when a victim is attacked by physical means.', 1: 'Male orangutans have physical development.', 2: 'Preverbal constructs can produce psychosomatic disorders.', 3: 'An increase is an amount.', 4: 'Nutrients support plant life.', 5: 'Surface tension plays a big part in fisheyeing.', 6: 'American redstarts are transient migrants, but are sometimes numerous, especially in the fall.', 7: 'Drip irrigation is regarded more efficient as less water evaporated as in spray irrigation.', 8: 'Truth comes by knowledge and understanding.', 9: 'Worms can only take a small particle of soft moistened food in their mouth.'}
| 6 |
5,116 |
['Some people mistakenly believe that all organisms exist within ecosystems.', "Once we know the notion that 'either vertebrates develop lungs or food contains proteins' is untrue, we also know that libraries are the only place where information is freely available for everyone in every community.", "So long as a part is a relation, 'if vertebrates develop lungs, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems' is true.", 'It is a simple truth that a part is a relation.', 'It is a fact that either shamans work with animal spirits or services are accommodation.', "Provided that shamans work with animal spirits, we know that if food contains proteins, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems.", "When services are accommodation is true, it follows that if food contains proteins, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems.", 'We know that at least one of two things is true: most athletes participate in sports, or modern technology makes it possible to examine and treat infants even under six months of age.', 'On the condition that most athletes participate in sports, it is definitely the case that the claim that libraries are the only place where information is freely available for everyone in every community does not reflect reality.', 'Once we know modern technology makes it possible to examine and treat infants even under six months of age, we also know that the claim that libraries are the only place where information is freely available for everyone in every community does not reflect reality.']
|
Some people mistakenly believe that all organisms exist within ecosystems. Once we know the notion that 'either vertebrates develop lungs or food contains proteins' is untrue, we also know that libraries are the only place where information is freely available for everyone in every community. So long as a part is a relation, 'if vertebrates develop lungs, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems' is true. It is a simple truth that a part is a relation. It is a fact that either shamans work with animal spirits or services are accommodation. Provided that shamans work with animal spirits, we know that if food contains proteins, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems. When services are accommodation is true, it follows that if food contains proteins, then if the statement 'plants sucker freely' can be considered false, then all organisms exist within ecosystems. We know that at least one of two things is true: most athletes participate in sports, or modern technology makes it possible to examine and treat infants even under six months of age. On the condition that most athletes participate in sports, it is definitely the case that the claim that libraries are the only place where information is freely available for everyone in every community does not reflect reality. Once we know modern technology makes it possible to examine and treat infants even under six months of age, we also know that the claim that libraries are the only place where information is freely available for everyone in every community does not reflect reality.
|
It is the case that plants sucker freely.
|
Plants acquire light.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [4].
Not [4]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [4].).
If [9], then (Not [4].).
Therefore, Not [4]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (If (Not [0].), then [1].).).
[5]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then (If (Not [0].), then [1].).).
If [7], then (If [3], then (If (Not [0].), then [1].).).
Therefore, If [3], then (If (Not [0].), then [1].)..
|
{0: 'Plants sucker freely.', 1: 'All organisms exist within ecosystems.', 2: 'Vertebrates develop lungs.', 3: 'Food contains proteins.', 4: 'Libraries are the only place where information is freely available for everyone in every community.', 5: 'A part is a relation.', 6: 'Shamans work with animal spirits.', 7: 'Services are accommodation.', 8: 'Most athletes participate in sports.', 9: 'Modern technology makes it possible to examine and treat infants even under six months of age.'}
| 6 |
5,293 |
['If prom is one of the few clothing companies for female boarders, then either most girls do have breasts or nurse practitioners are registered nurses.', 'The statement that states prom is one of the few clothing companies for female boarders is right.', "Either alcohol abuse is a great concern in rural Alaska's native communities or if most girls do have breasts, then moose weigh kgs.", "Those that suggest alcohol abuse is a great concern in rural Alaska's native communities are wrong.", "We know that at least one of two things is true: if most ornamental grasses prefer sun locations, then absolute magnetometers measure the field without reference to a standard magnetic instrument, or if the statement that 'if nurse practitioners are registered nurses, then moose weigh kgs' is incorrect, then stress is the most important factor in pest control.", 'Those that suggest if most ornamental grasses prefer sun locations, then absolute magnetometers measure the field without reference to a standard magnetic instrument are wrong.', "So long as most people recover from acute mountain sickness quickly after being moved to a lower altitude, 'the statement that states stress is the most important factor in pest control is false' is true.", 'Those that suggest most people recover from acute mountain sickness quickly after being moved to a lower altitude are right.']
|
If prom is one of the few clothing companies for female boarders, then either most girls do have breasts or nurse practitioners are registered nurses. The statement that states prom is one of the few clothing companies for female boarders is right. Either alcohol abuse is a great concern in rural Alaska's native communities or if most girls do have breasts, then moose weigh kgs. Those that suggest alcohol abuse is a great concern in rural Alaska's native communities are wrong. We know that at least one of two things is true: if most ornamental grasses prefer sun locations, then absolute magnetometers measure the field without reference to a standard magnetic instrument, or if the statement that 'if nurse practitioners are registered nurses, then moose weigh kgs' is incorrect, then stress is the most important factor in pest control. Those that suggest if most ornamental grasses prefer sun locations, then absolute magnetometers measure the field without reference to a standard magnetic instrument are wrong. So long as most people recover from acute mountain sickness quickly after being moved to a lower altitude, 'the statement that states stress is the most important factor in pest control is false' is true. Those that suggest most people recover from acute mountain sickness quickly after being moved to a lower altitude are right.
|
It is fair to say that moose weigh kgs.
|
It is fair to say that moose weigh kgs.
|
TRUE
|
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 [3], then (Either [1] or [2].).
[3]
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [1], then [0].).
Not [5].
Therefore, If [1], then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not (If [2], then [0].).), then [4].).
Not (If [7], then [8].).
Therefore, If (Not (If [2], then [0].).), then [4]..
[SC2-2]
Modus Ponens:
If [6], then (Not [4].).
[6]
Therefore, Not [4]..
|
{0: 'Moose weigh kgs.', 1: 'Most girls do have breasts.', 2: 'Nurse practitioners are registered nurses.', 3: 'Prom is one of the few clothing companies for female boarders.', 4: 'Stress is the most important factor in pest control.', 5: "Alcohol abuse is a great concern in rural Alaska's native communities.", 6: 'Most people recover from acute mountain sickness quickly after being moved to a lower altitude.', 7: 'Most ornamental grasses prefer sun locations.', 8: 'Absolute magnetometers measure the field without reference to a standard magnetic instrument.'}
| 6 |
5,076 |
['On the condition that some people mistakenly believe that magazines have (part) page numbers, it is definitely the case that ministers have (part) nuclei.', "So long as the notion that 'if some people mistakenly believe that magazines have (part) page numbers, then some people mistakenly believe that ministers have (part) nuclei' is untrue, 'the claim that if glycosylated proteins are abundant, then most species live in colonies does not correspond with reality' is true.", 'The claim that conventional masculinity is defined partly by a desire to be strong and competent does not reflect reality.', 'We know that either muscles help the body move or either rooks are located in trees or humans add uranium to the soil through industrial activities.', 'Once we know muscles help the body move, we also know that if if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent, then if glycosylated proteins are abundant, then most species live in colonies.', 'One may reasonably assume that if either rooks are located in trees or humans add uranium to the soil through industrial activities, then if if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent, then if glycosylated proteins are abundant, then most species live in colonies.', "Either one or both of these statements are true: if demobilisation is social control, then many small plants grow in the shade under the trees, or either conventional masculinity is defined partly by a desire to be strong and competent or if the notion that 'if some people mistakenly believe that magazines have (part) page numbers, then some people mistakenly believe that ministers have (part) nuclei' is untrue, then if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent.", "The statement 'if demobilisation is social control, then many small plants grow in the shade under the trees' can be considered false."]
|
On the condition that some people mistakenly believe that magazines have (part) page numbers, it is definitely the case that ministers have (part) nuclei. So long as the notion that 'if some people mistakenly believe that magazines have (part) page numbers, then some people mistakenly believe that ministers have (part) nuclei' is untrue, 'the claim that if glycosylated proteins are abundant, then most species live in colonies does not correspond with reality' is true. The claim that conventional masculinity is defined partly by a desire to be strong and competent does not reflect reality. We know that either muscles help the body move or either rooks are located in trees or humans add uranium to the soil through industrial activities. Once we know muscles help the body move, we also know that if if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent, then if glycosylated proteins are abundant, then most species live in colonies. One may reasonably assume that if either rooks are located in trees or humans add uranium to the soil through industrial activities, then if if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent, then if glycosylated proteins are abundant, then most species live in colonies. Either one or both of these statements are true: if demobilisation is social control, then many small plants grow in the shade under the trees, or either conventional masculinity is defined partly by a desire to be strong and competent or if the notion that 'if some people mistakenly believe that magazines have (part) page numbers, then some people mistakenly believe that ministers have (part) nuclei' is untrue, then if dehydration weakens the flow of lymph in the system and makes the body less resistant to infection, then hydrochloric acid is a very corrosive reagent. The statement 'if demobilisation is social control, then many small plants grow in the shade under the trees' can be considered false.
|
The statement 'magazines have (part) page numbers' can be considered true.
|
Magazines are pornographic when women are pictured as sex objects to be abused.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].). [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not (If [2], then [3].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then (If [4], then [5].). [SC1-3]
If (If [4], then [5].), then (If [2], then [3].). [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not [0].), then (Not [1].).).), then (If [4], then [5].).). [SC1-4]
Not [9].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (If [4], then [5].)..
[SC1-4]
Disjunctive Syllogism:
Either (If [10], then [11].) or (Either [9] or (If (Not (If (Not [0].), then (Not [1].).).), then (If [4], then [5].).).).
Not (If [10], then [11].).
Therefore, Either [9] or (If (Not (If (Not [0].), then (Not [1].).).), then (If [4], then [5].).)..
[SC2-3]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If (If [4], then [5].), then (If [2], then [3].).).
If (Either [7] or [8].), then (If (If [4], then [5].), then (If [2], then [3].).).
Therefore, If (If [4], then [5].), then (If [2], then [3].)..
|
{0: 'Magazines have (part) page numbers.', 1: 'Ministers have (part) nuclei.', 2: 'Glycosylated proteins are abundant.', 3: 'Most species live in colonies.', 4: 'Dehydration weakens the flow of lymph in the system and makes the body less resistant to infection.', 5: 'Hydrochloric acid is a very corrosive reagent.', 6: 'Muscles help the body move.', 7: 'Rooks are located in trees.', 8: 'Humans add uranium to the soil through industrial activities.', 9: 'Conventional masculinity is defined partly by a desire to be strong and competent.', 10: 'Demobilisation is social control.', 11: 'Many small plants grow in the shade under the trees.'}
| 6 |
5,048 |
['Should it be the case that most people seem to think opossums live in trees, it follows that agnates are relatives.', 'On the condition that the claim that most people seem to think opossums live in trees is false, it is definitely the case that if ammonia can cause severe damage to the eyes, throat, and lungs, then birds eating infected worms can also help disperse the oocysts.', "The statement that 'albatrosses have (part) brains' is incorrect.", "Either junctions are where the great majority of collisions occur or either albatrosses have (part) brains or if the claim that most people seem to think opossums live in trees is false, then the notion that 'if ammonia can cause severe damage to the eyes, throat, and lungs, then birds eating infected worms can also help disperse the oocysts' is untrue.", "So long as junctions are where the great majority of collisions occur, 'human beings are also unique in that they verbalize' is true.", 'There is good reason to believe that either either strange behavior reveals behavior or polymers have ten different kinds of phase transitions or children carry their younger brothers and sisters on their backs.', "Once we know either strange behavior reveals behavior or polymers have ten different kinds of phase transitions, we also know that if junctions are where the great majority of collisions occur, then the notion that 'human beings are also unique in that they verbalize' is untrue.", "Provided that children carry their younger brothers and sisters on their backs, we know that if junctions are where the great majority of collisions occur, then the notion that 'human beings are also unique in that they verbalize' is untrue."]
|
Should it be the case that most people seem to think opossums live in trees, it follows that agnates are relatives. On the condition that the claim that most people seem to think opossums live in trees is false, it is definitely the case that if ammonia can cause severe damage to the eyes, throat, and lungs, then birds eating infected worms can also help disperse the oocysts. The statement that 'albatrosses have (part) brains' is incorrect. Either junctions are where the great majority of collisions occur or either albatrosses have (part) brains or if the claim that most people seem to think opossums live in trees is false, then the notion that 'if ammonia can cause severe damage to the eyes, throat, and lungs, then birds eating infected worms can also help disperse the oocysts' is untrue. So long as junctions are where the great majority of collisions occur, 'human beings are also unique in that they verbalize' is true. There is good reason to believe that either either strange behavior reveals behavior or polymers have ten different kinds of phase transitions or children carry their younger brothers and sisters on their backs. Once we know either strange behavior reveals behavior or polymers have ten different kinds of phase transitions, we also know that if junctions are where the great majority of collisions occur, then the notion that 'human beings are also unique in that they verbalize' is untrue. Provided that children carry their younger brothers and sisters on their backs, we know that if junctions are where the great majority of collisions occur, then the notion that 'human beings are also unique in that they verbalize' is untrue.
|
The claim that agnates are relatives is true.
|
An agnate is a relative.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (If [2], then [3].).
If (Not [1].), then (Not (If [2], then [3].).). [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not [1].), then (Not (If [2], then [3].).).). [SC1-3]
Not [4].
Therefore, If (Not [1].), then (Not (If [2], then [3].).)..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (Either [4] or (If (Not [1].), then (Not (If [2], then [3].).).).).
Not [5]. [SC2-4]
Therefore, Either [4] or (If (Not [1].), then (Not (If [2], then [3].).).)..
[SC2-4]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].). [SC2-5]
Therefore, Not [5]..
[SC2-5]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [5], then (Not [6].).).
If [9], then (If [5], then (Not [6].).).
Therefore, If [5], then (Not [6].)..
|
{0: 'Agnates are relatives.', 1: 'Most people seem to think opossums live in trees.', 2: 'Ammonia can cause severe damage to the eyes, throat, and lungs.', 3: 'Birds eating infected worms can also help disperse the oocysts.', 4: 'Albatrosses have (part) brains.', 5: 'Junctions are where the great majority of collisions occur.', 6: 'Human beings are also unique in that they verbalize.', 7: 'Strange behavior reveals behavior.', 8: 'Polymers have ten different kinds of phase transitions.', 9: 'Children carry their younger brothers and sisters on their backs.'}
| 6 |
5,503 |
['It is rational to believe that either potted plants are located in roofs or differentiation is to many people a form of sin.', "So long as potted plants are located in roofs, 'most soluble fiber has health benefits' is true.", 'Assuming it is not the case that either evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor or if differentiation is to many people a form of sin, then most soluble fiber has health benefits, we know that bacteria can affect people via television.', 'Once we know evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor, we also know that companies deal with issues.', "Either one or both of these statements are true: if most mothers form strong bonds, then garnets differ extensively in chemical composition from each other, or the statement that 'bacteria can affect people via television' is incorrect.", 'The claim that if most mothers form strong bonds, then garnets differ extensively in chemical composition from each other does not reflect reality.', "So long as relief printing encompasses a broad range of techniques and possibilities for artists and designers, 'if evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor, then the statement, companies deal with issues, does not hold' is true.", 'It is the case that relief printing encompasses a broad range of techniques and possibilities for artists and designers.']
|
It is rational to believe that either potted plants are located in roofs or differentiation is to many people a form of sin. So long as potted plants are located in roofs, 'most soluble fiber has health benefits' is true. Assuming it is not the case that either evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor or if differentiation is to many people a form of sin, then most soluble fiber has health benefits, we know that bacteria can affect people via television. Once we know evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor, we also know that companies deal with issues. Either one or both of these statements are true: if most mothers form strong bonds, then garnets differ extensively in chemical composition from each other, or the statement that 'bacteria can affect people via television' is incorrect. The claim that if most mothers form strong bonds, then garnets differ extensively in chemical composition from each other does not reflect reality. So long as relief printing encompasses a broad range of techniques and possibilities for artists and designers, 'if evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor, then the statement, companies deal with issues, does not hold' is true. It is the case that relief printing encompasses a broad range of techniques and possibilities for artists and designers.
|
The idea that most soluble fiber has health benefits is true.
|
The idea that most soluble fiber has health benefits is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Disjunctive Syllogism:
Either [3] or (If [2], then [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If [2], then [0].).).), then [4].
Not [4]. [SC2-3]
Therefore, Either [3] or (If [2], then [0].)..
[SC2-3]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Not [4].).
Not (If [6], then [7].).
Therefore, Not [4]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [5].
If [3], then (Not [5].). [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Ponens:
If [8], then (If [3], then (Not [5].).).
[8]
Therefore, If [3], then (Not [5].)..
|
{0: 'Most soluble fiber has health benefits.', 1: 'Potted plants are located in roofs.', 2: 'Differentiation is to many people a form of sin.', 3: 'Evaporation is a stage in the water cycle, where water evaporates and becomes steam or water vapor.', 4: 'Bacteria can affect people via television.', 5: 'Companies deal with issues.', 6: 'Most mothers form strong bonds.', 7: 'Garnets differ extensively in chemical composition from each other.', 8: 'Relief printing encompasses a broad range of techniques and possibilities for artists and designers.'}
| 6 |
5,263 |
['If accelerometers are products, then if the claim that either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently is false, then teaching methods are methods.', 'It is not true that histidine increases it the least.', 'Assuming it is not true that accelerometers are products, we know that atlantic puffins are common throughout the north Atlantic.', 'If wise parents are affectionate, supportive, and tender to their mate and to their children, then if we know that the claim that if the claim that either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently is false, then the claim that teaching methods are methods is false is false, then histidine increases it the least.', 'Those that suggest wise parents are affectionate, supportive, and tender to their mate and to their children are right.', 'It is a fact that either either outdoor dogs burn extra energy to maintain their body heat in cold weather or air has temperature or high sulfur coal produces dioxide.', 'When either outdoor dogs burn extra energy to maintain their body heat in cold weather or air has temperature is true, it follows that the claim that atlantic puffins are common throughout the north Atlantic does not reflect reality.', 'Given that high sulfur coal produces dioxide, it can be inferred that the claim that atlantic puffins are common throughout the north Atlantic does not reflect reality.']
|
If accelerometers are products, then if the claim that either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently is false, then teaching methods are methods. It is not true that histidine increases it the least. Assuming it is not true that accelerometers are products, we know that atlantic puffins are common throughout the north Atlantic. If wise parents are affectionate, supportive, and tender to their mate and to their children, then if we know that the claim that if the claim that either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently is false, then the claim that teaching methods are methods is false is false, then histidine increases it the least. Those that suggest wise parents are affectionate, supportive, and tender to their mate and to their children are right. It is a fact that either either outdoor dogs burn extra energy to maintain their body heat in cold weather or air has temperature or high sulfur coal produces dioxide. When either outdoor dogs burn extra energy to maintain their body heat in cold weather or air has temperature is true, it follows that the claim that atlantic puffins are common throughout the north Atlantic does not reflect reality. Given that high sulfur coal produces dioxide, it can be inferred that the claim that atlantic puffins are common throughout the north Atlantic does not reflect reality.
|
It is a fact that either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently.
|
The statement that 'either drafts are wind or transtelephonic monitoring can identify arrhythmias that occur infrequently' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (If (Not (Either [0] or [1].).), then [2].).
[3] [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Modus Tonens:
If (Not [3].), then [5].
Not [5]. [SC2-3]
Therefore, [3].
[SC2-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Not [5].).
If [9], then (Not [5].).
Therefore, Not [5]..
[SC2-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4]. [SC1-2]
Not [4].
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4].).
[6]
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4]..
|
{0: 'Drafts are wind.', 1: 'Transtelephonic monitoring can identify arrhythmias that occur infrequently.', 2: 'Teaching methods are methods.', 3: 'Accelerometers are products.', 4: 'Histidine increases it the least.', 5: 'Atlantic puffins are common throughout the north Atlantic.', 6: 'Wise parents are affectionate, supportive, and tender to their mate and to their children.', 7: 'Outdoor dogs burn extra energy to maintain their body heat in cold weather.', 8: 'Air has temperature.', 9: 'High sulfur coal produces dioxide.'}
| 6 |
5,808 |
['Given that we know that the claim that diatoms are able to get rid of waste by the tiny holes that are found in the cell wall is false, it can be inferred that either pollination is extremely important in kiwifruit production or many countries have agreements to share information about banking and other financial transactions.', "Whenever it is true that either pollination is extremely important in kiwifruit production or many countries have agreements to share information about banking and other financial transactions, 'radiation is the only way that heat can travel through space' is true.", 'The claim that chile is such a long country, north to south, that it spans many climate zones is false.', 'We know that at least one of two things is true: cats are well known for their sense of curiosity and independent nature, or retinas have layers.', 'Provided that retinas have layers, we know that either chile is such a long country, north to south, that it spans many climate zones or the claim that radiation is the only way that heat can travel through space does not correspond with reality.', "Provided that the statement that 'if cats are well known for their sense of curiosity and independent nature, then either chile is such a long country, north to south, that it spans many climate zones or the claim that radiation is the only way that heat can travel through space does not correspond with reality' is incorrect, we know that if planets are usually more or less spherical in shape, usually bulging slightly at the equator, then human activity generates a great deal of radio noise on a wide range of frequencies.", "Whenever it is true that hookworms are blood feeders and the mouthparts of hookworms have teeth, 'the statement 'if planets are usually more or less spherical in shape, usually bulging slightly at the equator, then human activity generates a great deal of radio noise on a wide range of frequencies' can be considered false' is true.", "The statement 'hookworms are blood feeders and the mouthparts of hookworms have teeth' can be considered true."]
|
Given that we know that the claim that diatoms are able to get rid of waste by the tiny holes that are found in the cell wall is false, it can be inferred that either pollination is extremely important in kiwifruit production or many countries have agreements to share information about banking and other financial transactions. Whenever it is true that either pollination is extremely important in kiwifruit production or many countries have agreements to share information about banking and other financial transactions, 'radiation is the only way that heat can travel through space' is true. The claim that chile is such a long country, north to south, that it spans many climate zones is false. We know that at least one of two things is true: cats are well known for their sense of curiosity and independent nature, or retinas have layers. Provided that retinas have layers, we know that either chile is such a long country, north to south, that it spans many climate zones or the claim that radiation is the only way that heat can travel through space does not correspond with reality. Provided that the statement that 'if cats are well known for their sense of curiosity and independent nature, then either chile is such a long country, north to south, that it spans many climate zones or the claim that radiation is the only way that heat can travel through space does not correspond with reality' is incorrect, we know that if planets are usually more or less spherical in shape, usually bulging slightly at the equator, then human activity generates a great deal of radio noise on a wide range of frequencies. Whenever it is true that hookworms are blood feeders and the mouthparts of hookworms have teeth, 'the statement 'if planets are usually more or less spherical in shape, usually bulging slightly at the equator, then human activity generates a great deal of radio noise on a wide range of frequencies' can be considered false' is true. The statement 'hookworms are blood feeders and the mouthparts of hookworms have teeth' can be considered true.
|
Many people rightly believe that diatoms are able to get rid of waste by the tiny holes that are found in the cell wall.
|
Many people rightly believe that diatoms are able to get rid of waste by the tiny holes that are found in the cell wall.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [2] or [3].).
If (Either [2] or [3].), then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].). [SC1-2]
Not [4].
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [4] or (Not [1].).). [SC2-3]
If [6], then (Either [4] or (Not [1].).).
Therefore, Either [4] or (Not [1].)..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (Either [4] or (Not [1].).).).), then (If [7], then [8].).
Not (If [7], then [8].). [SC2-4]
Therefore, If [5], then (Either [4] or (Not [1].).)..
[SC2-4]
Modus Ponens:
If [9], then (Not (If [7], then [8].).).
[9]
Therefore, Not (If [7], then [8].)..
|
{0: 'Diatoms are able to get rid of waste by the tiny holes that are found in the cell wall.', 1: 'Radiation is the only way that heat can travel through space.', 2: 'Pollination is extremely important in kiwifruit production.', 3: 'Many countries have agreements to share information about banking and other financial transactions.', 4: 'Chile is such a long country, north to south, that it spans many climate zones.', 5: 'Cats are well known for their sense of curiosity and independent nature.', 6: 'Retinas have layers.', 7: 'Planets are usually more or less spherical in shape, usually bulging slightly at the equator.', 8: 'Human activity generates a great deal of radio noise on a wide range of frequencies.', 9: 'Hookworms are blood feeders and the mouthparts of hookworms have teeth.'}
| 6 |
5,863 |
['One may reasonably assume that if pOP is a mechanism for allowing people to download mail from the server to which it is delivered, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology.', "The statement that 'if women need assistance, then female fireflies lay eggs in the soil' is incorrect.", 'If cats are particularly prone to abscesses, then either pOP is a mechanism for allowing people to download mail from the server to which it is delivered or people use products.', 'The statement that states cats are particularly prone to abscesses is right.', 'It is a fact that either if severe dehydration can lead to shock and death, then blacksmiths inherit large concentrations of nyama from their ancestors or ornithologists assess status.', 'On the condition that if severe dehydration can lead to shock and death, then blacksmiths inherit large concentrations of nyama from their ancestors, it is definitely the case that if people use products, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology.', 'Should it be the case that ornithologists assess status, it follows that if people use products, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology.', 'Either one or both of these statements are true: most fine particles pass through gills, or dopamine is a chemical messenger responsible for transmitting signals within the brain.', 'On the condition that most fine particles pass through gills, it is definitely the case that if cervical cancer is a malignant growth of the cervix, then if women need assistance, then female fireflies lay eggs in the soil.', 'If dopamine is a chemical messenger responsible for transmitting signals within the brain, then if cervical cancer is a malignant growth of the cervix, then if women need assistance, then female fireflies lay eggs in the soil.']
|
One may reasonably assume that if pOP is a mechanism for allowing people to download mail from the server to which it is delivered, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology. The statement that 'if women need assistance, then female fireflies lay eggs in the soil' is incorrect. If cats are particularly prone to abscesses, then either pOP is a mechanism for allowing people to download mail from the server to which it is delivered or people use products. The statement that states cats are particularly prone to abscesses is right. It is a fact that either if severe dehydration can lead to shock and death, then blacksmiths inherit large concentrations of nyama from their ancestors or ornithologists assess status. On the condition that if severe dehydration can lead to shock and death, then blacksmiths inherit large concentrations of nyama from their ancestors, it is definitely the case that if people use products, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology. Should it be the case that ornithologists assess status, it follows that if people use products, then either cervical cancer is a malignant growth of the cervix or creativity is both a cause and a consequence of the evolving adventure of science and technology. Either one or both of these statements are true: most fine particles pass through gills, or dopamine is a chemical messenger responsible for transmitting signals within the brain. On the condition that most fine particles pass through gills, it is definitely the case that if cervical cancer is a malignant growth of the cervix, then if women need assistance, then female fireflies lay eggs in the soil. If dopamine is a chemical messenger responsible for transmitting signals within the brain, then if cervical cancer is a malignant growth of the cervix, then if women need assistance, then female fireflies lay eggs in the soil.
|
It is a simple truth that creativity is both a cause and a consequence of the evolving adventure of science and technology.
|
It is a simple truth that creativity is both a cause and a consequence of the evolving adventure of science and technology.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Either [1] or [0].).
If [3], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [11], then (Either [2] or [3].).
[11]
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If [3], then (Either [1] or [0].).).
If [10], then (If [3], then (Either [1] or [0].).).
Therefore, If [3], then (Either [1] or [0].)..
[SC2-1]
Modus Tonens:
If [1], then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [1], then (If [4], then [5].).).
If [7], then (If [1], then (If [4], then [5].).).
Therefore, If [1], then (If [4], then [5].)..
|
{0: 'Creativity is both a cause and a consequence of the evolving adventure of science and technology.', 1: 'Cervical cancer is a malignant growth of the cervix.', 2: 'POP is a mechanism for allowing people to download mail from the server to which it is delivered.', 3: 'People use products.', 4: 'Women need assistance.', 5: 'Female fireflies lay eggs in the soil.', 6: 'Most fine particles pass through gills.', 7: 'Dopamine is a chemical messenger responsible for transmitting signals within the brain.', 8: 'Severe dehydration can lead to shock and death.', 9: 'Blacksmiths inherit large concentrations of nyama from their ancestors.', 10: 'Ornithologists assess status.', 11: 'Cats are particularly prone to abscesses.'}
| 6 |
5,748 |
['It is not true that sexual pleasure adds to the quality of life for everybody, including people with disabilities.', 'It is fair to say that some maidenhair ferns have quality.', 'Should it be the case that it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, it follows that it is a common misconception that if farmers have exposure, then most anoles are said to live between four and eight years.', "Whenever it is true that either people desire indoor plumbing or fevers are symptoms, 'if some maidenhair ferns have quality, then people have different ways of communicating with others that are influenced by where they are from' is true.", 'At least one of two things is true: people desire indoor plumbing, or fevers are symptoms.', 'Should it be the case that it is a common misconception that if it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, then if farmers have exposure, then most anoles are said to live between four and eight years, it follows that large hotels have restaurants and ballrooms in addition to rooms.', 'On the condition that it is a common misconception that if it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, then if farmers have exposure, then most anoles are said to live between four and eight years, it is definitely the case that the claim that large hotels have restaurants and ballrooms in addition to rooms does not correspond with reality.']
|
It is not true that sexual pleasure adds to the quality of life for everybody, including people with disabilities. It is fair to say that some maidenhair ferns have quality. Should it be the case that it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, it follows that it is a common misconception that if farmers have exposure, then most anoles are said to live between four and eight years. Whenever it is true that either people desire indoor plumbing or fevers are symptoms, 'if some maidenhair ferns have quality, then people have different ways of communicating with others that are influenced by where they are from' is true. At least one of two things is true: people desire indoor plumbing, or fevers are symptoms. Should it be the case that it is a common misconception that if it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, then if farmers have exposure, then most anoles are said to live between four and eight years, it follows that large hotels have restaurants and ballrooms in addition to rooms. On the condition that it is a common misconception that if it is not the case that either sexual pleasure adds to the quality of life for everybody, including people with disabilities or if people have different ways of communicating with others that are influenced by where they are from, then affection is by definition an emotional word, then if farmers have exposure, then most anoles are said to live between four and eight years, it is definitely the case that the claim that large hotels have restaurants and ballrooms in addition to rooms does not correspond with reality.
|
Those that suggest affection is by definition an emotional word are right.
|
Those that suggest affection is by definition an emotional word are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].). [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If [1], then [0].).).), then (If [6], then [7].). [SC1-3]
If (Not (Either [2] or (If [1], then [0].).).), then (Not (If [6], then [7].).).
Therefore, Either [2] or (If [1], then [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (If [1], then [0].).).), then (If [6], then [7].).).), then [8].
If (Not (If (Not (Either [2] or (If [1], then [0].).).), then (If [6], then [7].).).), then (Not [8].).
Therefore, If (Not (Either [2] or (If [1], then [0].).).), then (If [6], then [7].)..
[SC2-1]
Modus Ponens:
If [3], then [1]. [SC1-2]
[3]
Therefore, [1].
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (If [3], then [1].).
Either [4] or [5].
Therefore, If [3], then [1]..
|
{0: 'Affection is by definition an emotional word.', 1: 'People have different ways of communicating with others that are influenced by where they are from.', 2: 'Sexual pleasure adds to the quality of life for everybody, including people with disabilities.', 3: 'Some maidenhair ferns have quality.', 4: 'People desire indoor plumbing.', 5: 'Fevers are symptoms.', 6: 'Farmers have exposure.', 7: 'Most anoles are said to live between four and eight years.', 8: 'Large hotels have restaurants and ballrooms in addition to rooms.'}
| 6 |
5,064 |
['We know that at least one of two things is true: if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion, or if eurasian milfoil obstructs flood control methods, water conservation, drainage and irrigation works, then old men are magazines.', 'It is not true that some hoofs are part of giraffes.', 'Should it be the case that if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion, it follows that most spatter cones are much smaller than cinder cones.', 'When if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion is true, it follows that the statement, most spatter cones are much smaller than cinder cones, does not hold.', 'Should it be the case that habitual chewing stains the teeth, it follows that if the claim that eurasian milfoil obstructs flood control methods, water conservation, drainage and irrigation works does not reflect reality, then some hoofs are part of giraffes.', 'It is a fact that either either some potassium bicarbonate reduces excretion or meteors can be sporadic, or they can occur in showers or if honey bee workers survive winter, then chlorine is still the most effective way of disinfecting domestic wastewater.', 'One may reasonably assume that if either some potassium bicarbonate reduces excretion or meteors can be sporadic, or they can occur in showers, then habitual chewing stains the teeth.', 'When if honey bee workers survive winter, then chlorine is still the most effective way of disinfecting domestic wastewater is true, it follows that habitual chewing stains the teeth.']
|
We know that at least one of two things is true: if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion, or if eurasian milfoil obstructs flood control methods, water conservation, drainage and irrigation works, then old men are magazines. It is not true that some hoofs are part of giraffes. Should it be the case that if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion, it follows that most spatter cones are much smaller than cinder cones. When if marine snow is a very rich source of nutrition, then nuclear shielding replaces mass conversion is true, it follows that the statement, most spatter cones are much smaller than cinder cones, does not hold. Should it be the case that habitual chewing stains the teeth, it follows that if the claim that eurasian milfoil obstructs flood control methods, water conservation, drainage and irrigation works does not reflect reality, then some hoofs are part of giraffes. It is a fact that either either some potassium bicarbonate reduces excretion or meteors can be sporadic, or they can occur in showers or if honey bee workers survive winter, then chlorine is still the most effective way of disinfecting domestic wastewater. One may reasonably assume that if either some potassium bicarbonate reduces excretion or meteors can be sporadic, or they can occur in showers, then habitual chewing stains the teeth. When if honey bee workers survive winter, then chlorine is still the most effective way of disinfecting domestic wastewater is true, it follows that habitual chewing stains the teeth.
|
Those that suggest old men are magazines are right.
|
Those that suggest old men are magazines are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If [1], then [0].).
Not (If [3], then [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (If [3], then [4].), then [6].
If (If [3], then [4].), then (Not [6].).
Therefore, Not (If [3], then [4].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Modus Ponens:
If [5], then (If (Not [1].), then [2].).
[5] [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC2-3]
Disjunction Elimination:
Either (Either [7] or [8].) or (If [9], then [10].).
If (Either [7] or [8].), then [5].
If (If [9], then [10].), then [5].
Therefore, [5].
|
{0: 'Old men are magazines.', 1: 'Eurasian milfoil obstructs flood control methods, water conservation, drainage and irrigation works.', 2: 'Some hoofs are part of giraffes.', 3: 'Marine snow is a very rich source of nutrition.', 4: 'Nuclear shielding replaces mass conversion.', 5: 'Habitual chewing stains the teeth.', 6: 'Most spatter cones are much smaller than cinder cones.', 7: 'Some potassium bicarbonate reduces excretion.', 8: 'Meteors can be sporadic, or they can occur in showers.', 9: 'Honey bee workers survive winter.', 10: 'Chlorine is still the most effective way of disinfecting domestic wastewater.'}
| 6 |
5,798 |
["The statement that 'either most nocturnal hunters feed on prey or olive baboons are mammals' is incorrect.", 'If the claim that if love Is a feeling of intense affection, given freely and without restriction, then allergic persons are often supersensitive to odors that can trigger an attack at any time is false, then it is not true that negative responses are alcoholic responses.', 'One may reasonably assume that if caterpillars damage plants, then if some peregrine falcons mate for life, then allergic persons are often supersensitive to odors that can trigger an attack at any time.', "The statement 'caterpillars damage plants' is true.", "One may reasonably assume that if the statement that 'if the statement, either love Is a feeling of intense affection, given freely and without restriction or some peregrine falcons mate for life, does not hold, then either most nocturnal hunters feed on prey or olive baboons are mammals' is incorrect, then divine religions declare that none can be.", "The notion that 'divine religions declare that none can be' is untrue.", 'We know that either lipomas are tumors or if the claim that if love Is a feeling of intense affection, given freely and without restriction, then allergic persons are often supersensitive to odors that can trigger an attack at any time is false, then negative responses are alcoholic responses.', "The statement that 'lipomas are tumors' is incorrect."]
|
The statement that 'either most nocturnal hunters feed on prey or olive baboons are mammals' is incorrect. If the claim that if love Is a feeling of intense affection, given freely and without restriction, then allergic persons are often supersensitive to odors that can trigger an attack at any time is false, then it is not true that negative responses are alcoholic responses. One may reasonably assume that if caterpillars damage plants, then if some peregrine falcons mate for life, then allergic persons are often supersensitive to odors that can trigger an attack at any time. The statement 'caterpillars damage plants' is true. One may reasonably assume that if the statement that 'if the statement, either love Is a feeling of intense affection, given freely and without restriction or some peregrine falcons mate for life, does not hold, then either most nocturnal hunters feed on prey or olive baboons are mammals' is incorrect, then divine religions declare that none can be. The notion that 'divine religions declare that none can be' is untrue. We know that either lipomas are tumors or if the claim that if love Is a feeling of intense affection, given freely and without restriction, then allergic persons are often supersensitive to odors that can trigger an attack at any time is false, then negative responses are alcoholic responses. The statement that 'lipomas are tumors' is incorrect.
|
It is true that allergic persons are often supersensitive to odors that can trigger an attack at any time.
|
It is a common misconception that allergic persons are often supersensitive to odors that can trigger an attack at any time.
|
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 Tonens:
If (Not (Either [1] or [2].).), then (Either [4] or [5].). [SC1-2]
Not (Either [4] or [5].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [2].).), then (Either [4] or [5].).).), then [8].
Not [8].
Therefore, If (Not (Either [1] or [2].).), then (Either [4] or [5].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [6]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [6].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If [1], then [0].).), then [6].).
Not [7].
Therefore, If (Not (If [1], then [0].).), then [6]..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].).
[3]
Therefore, If [2], then [0]..
|
{0: 'Allergic persons are often supersensitive to odors that can trigger an attack at any time.', 1: 'Love Is a feeling of intense affection, given freely and without restriction.', 2: 'Some peregrine falcons mate for life.', 3: 'Caterpillars damage plants.', 4: 'Most nocturnal hunters feed on prey.', 5: 'Olive baboons are mammals.', 6: 'Negative responses are alcoholic responses.', 7: 'Lipomas are tumors.', 8: 'Divine religions declare that none can be.'}
| 6 |
5,052 |
['Those that suggest filters are intermediate objects between the source and destination of a flow are right.', 'If the statement that states if filters are intermediate objects between the source and destination of a flow, then if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity is false, then moral actions aim at personal and social stability.', 'Should it be the case that the statement that states if filters are intermediate objects between the source and destination of a flow, then if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity is false, it follows that the claim that moral actions aim at personal and social stability does not reflect reality.', "So long as the claim that if if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity, then plants break down food much the same way as animals has no merit, 'the statement that states retinal detachment can occur at any age, but it is more common in midlife and later is false' is true.", "Whenever it is true that the claim that if if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity, then plants break down food much the same way as animals has no merit, 'wages means income received for services rendered as an employee' is true.", 'Assuming the claim that if wages means income received for services rendered as an employee, then retinal detachment can occur at any age, but it is more common in midlife and later has no merit, we know that most scientists learn about genetics.', 'Assuming the claim that if wages means income received for services rendered as an employee, then retinal detachment can occur at any age, but it is more common in midlife and later has no merit, we know that the claim that most scientists learn about genetics does not correspond with reality.']
|
Those that suggest filters are intermediate objects between the source and destination of a flow are right. If the statement that states if filters are intermediate objects between the source and destination of a flow, then if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity is false, then moral actions aim at personal and social stability. Should it be the case that the statement that states if filters are intermediate objects between the source and destination of a flow, then if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity is false, it follows that the claim that moral actions aim at personal and social stability does not reflect reality. So long as the claim that if if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity, then plants break down food much the same way as animals has no merit, 'the statement that states retinal detachment can occur at any age, but it is more common in midlife and later is false' is true. Whenever it is true that the claim that if if weakness gives birth to strength, then right whales are unaware of vessels, particularly when engaging in feeding or sexual activity, then plants break down food much the same way as animals has no merit, 'wages means income received for services rendered as an employee' is true. Assuming the claim that if wages means income received for services rendered as an employee, then retinal detachment can occur at any age, but it is more common in midlife and later has no merit, we know that most scientists learn about genetics. Assuming the claim that if wages means income received for services rendered as an employee, then retinal detachment can occur at any age, but it is more common in midlife and later has no merit, we know that the claim that most scientists learn about genetics does not correspond with reality.
|
Many people rightly believe that plants break down food much the same way as animals .
|
The claim that plants break down food much the same way as animals does not reflect reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (If [2], then [3].).).), then [4].
If (Not (If [1], then (If [2], then [3].).).), then (Not [4].).
Therefore, If [1], then (If [2], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then [0].).), then [5]. [SC1-3]
If (Not (If (If [2], then [3].), then [0].).), then (Not [5].).
Therefore, If (If [2], then [3].), then [0]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (If [2], then [3].), then [0].).), then [6].
If [6], then [5]. [SC2-4]
Therefore, If (Not (If (If [2], then [3].), then [0].).), then [5]..
[SC2-4]
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]..
|
{0: 'Plants break down food much the same way as animals .', 1: 'Filters are intermediate objects between the source and destination of a flow.', 2: 'Weakness gives birth to strength.', 3: 'Right whales are unaware of vessels, particularly when engaging in feeding or sexual activity.', 4: 'Moral actions aim at personal and social stability.', 5: 'Retinal detachment can occur at any age, but it is more common in midlife and later.', 6: 'Wages means income received for services rendered as an employee.', 7: 'Most scientists learn about genetics.'}
| 6 |
5,440 |
['There is good reason to believe that either low cost is what they pay for it over time or hallucination is delusion.', 'Assuming low cost is what they pay for it over time, we know that ammonia is the most common odor produced in a rabbit facility.', 'The idea that angels come in many forms is true.', 'On the condition that an apron is a clothing, it is definitely the case that if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then the claim that many factors affect the oxygen availability to the muscles is false.', "So long as mornings are the most pristine time of the day, 'if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then the claim that many factors affect the oxygen availability to the muscles is false' is true.", 'Should it be the case that the claim that if angels come in many forms, then if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then many factors affect the oxygen availability to the muscles has no merit, it follows that diversity is one of the keys to success in the recreation industry.', 'Provided that the claim that if angels come in many forms, then if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then many factors affect the oxygen availability to the muscles has no merit, we know that the claim that diversity is one of the keys to success in the recreation industry does not correspond with reality.', 'Provided that the claim that either an apron is a clothing or mornings are the most pristine time of the day does not correspond with reality, we know that most predators prefer juicy prey.', 'The claim that most predators prefer juicy prey does not reflect reality.']
|
There is good reason to believe that either low cost is what they pay for it over time or hallucination is delusion. Assuming low cost is what they pay for it over time, we know that ammonia is the most common odor produced in a rabbit facility. The idea that angels come in many forms is true. On the condition that an apron is a clothing, it is definitely the case that if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then the claim that many factors affect the oxygen availability to the muscles is false. So long as mornings are the most pristine time of the day, 'if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then the claim that many factors affect the oxygen availability to the muscles is false' is true. Should it be the case that the claim that if angels come in many forms, then if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then many factors affect the oxygen availability to the muscles has no merit, it follows that diversity is one of the keys to success in the recreation industry. Provided that the claim that if angels come in many forms, then if we know that the claim that if hallucination is delusion, then ammonia is the most common odor produced in a rabbit facility is false, then many factors affect the oxygen availability to the muscles has no merit, we know that the claim that diversity is one of the keys to success in the recreation industry does not correspond with reality. Provided that the claim that either an apron is a clothing or mornings are the most pristine time of the day does not correspond with reality, we know that most predators prefer juicy prey. The claim that most predators prefer juicy prey does not reflect reality.
|
It is the case that ammonia is the most common odor produced in a rabbit facility.
|
The statement that states ammonia is the most common odor produced in a rabbit facility is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [2], then [0].).), then [3].). [SC1-3]
[4]
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not (If [2], then [0].).), then [3].).).), then [7].
If (Not (If [4], then (If (Not (If [2], then [0].).), then [3].).).), then (Not [7].).
Therefore, If [4], then (If (Not (If [2], then [0].).), then [3].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If (Not (If [2], then [0].).), then (Not [3].).).
If [6], then (If (Not (If [2], then [0].).), then (Not [3].).).
Therefore, If (Not (If [2], then [0].).), then (Not [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or [6].).), then [8].
Not [8].
Therefore, Either [5] or [6]..
|
{0: 'Ammonia is the most common odor produced in a rabbit facility.', 1: 'Low cost is what they pay for it over time.', 2: 'Hallucination is delusion.', 3: 'Many factors affect the oxygen availability to the muscles.', 4: 'Angels come in many forms.', 5: 'An apron is a clothing.', 6: 'Mornings are the most pristine time of the day.', 7: 'Diversity is one of the keys to success in the recreation industry.', 8: 'Most predators prefer juicy prey.'}
| 6 |
5,124 |
['Once we know the statement that states induction of labor is an induction is false, we also know that rams are very active at the start of joining and mate frequently.', 'Assuming the claim that if it is not true that if the statement that states induction of labor is an induction is false, then the claim that rams are very active at the start of joining and mate frequently is false, then sticklebacks have (part) skulls does not correspond with reality, we know that the claim that most elephants possess blood does not correspond with reality.', 'Some people mistakenly believe that women are concerned about their families, culture, rights and role in the community.', "So long as genetic variation is preserved or eliminated from a population through natural selection, 'if the claim that if it is not true that if the statement that states induction of labor is an induction is false, then the claim that rams are very active at the start of joining and mate frequently is false, then sticklebacks have (part) skulls does not correspond with reality, then most elephants possess blood' is true.", 'It is the case that genetic variation is preserved or eliminated from a population through natural selection.', 'If sticklebacks have (part) skulls, then some caribou possesses microorganisms.', 'Provided that some caribou possesses microorganisms, we know that women are concerned about their families, culture, rights and role in the community.']
|
Once we know the statement that states induction of labor is an induction is false, we also know that rams are very active at the start of joining and mate frequently. Assuming the claim that if it is not true that if the statement that states induction of labor is an induction is false, then the claim that rams are very active at the start of joining and mate frequently is false, then sticklebacks have (part) skulls does not correspond with reality, we know that the claim that most elephants possess blood does not correspond with reality. Some people mistakenly believe that women are concerned about their families, culture, rights and role in the community. So long as genetic variation is preserved or eliminated from a population through natural selection, 'if the claim that if it is not true that if the statement that states induction of labor is an induction is false, then the claim that rams are very active at the start of joining and mate frequently is false, then sticklebacks have (part) skulls does not correspond with reality, then most elephants possess blood' is true. It is the case that genetic variation is preserved or eliminated from a population through natural selection. If sticklebacks have (part) skulls, then some caribou possesses microorganisms. Provided that some caribou possesses microorganisms, we know that women are concerned about their families, culture, rights and role in the community.
|
The claim that induction of labor is an induction is true.
|
Induction of labor is an induction.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3]. [SC1-3]
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (Not [3].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Modus Ponens:
If [5], then (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3].).
[5]
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3]..
[SC2-2]
Modus Tonens:
If [2], then [4]. [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [6].
If [6], then [4].
Therefore, If [2], then [4]..
|
{0: 'Induction of labor is an induction.', 1: 'Rams are very active at the start of joining and mate frequently.', 2: 'Sticklebacks have (part) skulls.', 3: 'Most elephants possess blood.', 4: 'Women are concerned about their families, culture, rights and role in the community.', 5: 'Genetic variation is preserved or eliminated from a population through natural selection.', 6: 'Some caribou possesses microorganisms.'}
| 6 |
5,650 |
['There is good reason to believe that either most triangles have equal angles or monarch caterpillars have two pairs of tentacles.', 'It is a fact that either goals are what individuals hope to achieve and accomplish or either plants compete for light, water, nutrients and space or manatees thrive in some of the lagoons, as well as crocodiles.', 'Provided that goals are what individuals hope to achieve and accomplish, we know that if most triangles have equal angles, then it is not the case that some natural diets consist of caterpillars.', 'On the condition that either plants compete for light, water, nutrients and space or manatees thrive in some of the lagoons, as well as crocodiles, it is definitely the case that if most triangles have equal angles, then it is not the case that some natural diets consist of caterpillars.', "So long as the notion that 'if monarch caterpillars have two pairs of tentacles, then it is not the case that some natural diets consist of caterpillars' is untrue, 'hydroxychloroquines are drugs' is true.", "So long as hydroxychloroquines are drugs, 'some wort plants survive fire' is true.", 'Once we know some wort plants survive fire, we also know that planets are celestial bodies.', 'It is rational to believe that either a fish farm is work or explorers have (part) plasma membranes.', 'If a fish farm is work, then the claim that planets are celestial bodies is false.', "So long as explorers have (part) plasma membranes, 'the claim that planets are celestial bodies is false' is true."]
|
There is good reason to believe that either most triangles have equal angles or monarch caterpillars have two pairs of tentacles. It is a fact that either goals are what individuals hope to achieve and accomplish or either plants compete for light, water, nutrients and space or manatees thrive in some of the lagoons, as well as crocodiles. Provided that goals are what individuals hope to achieve and accomplish, we know that if most triangles have equal angles, then it is not the case that some natural diets consist of caterpillars. On the condition that either plants compete for light, water, nutrients and space or manatees thrive in some of the lagoons, as well as crocodiles, it is definitely the case that if most triangles have equal angles, then it is not the case that some natural diets consist of caterpillars. So long as the notion that 'if monarch caterpillars have two pairs of tentacles, then it is not the case that some natural diets consist of caterpillars' is untrue, 'hydroxychloroquines are drugs' is true. So long as hydroxychloroquines are drugs, 'some wort plants survive fire' is true. Once we know some wort plants survive fire, we also know that planets are celestial bodies. It is rational to believe that either a fish farm is work or explorers have (part) plasma membranes. If a fish farm is work, then the claim that planets are celestial bodies is false. So long as explorers have (part) plasma membranes, 'the claim that planets are celestial bodies is false' is true.
|
It is not the case that some natural diets consist of caterpillars.
|
It is not the case that some natural diets consist of caterpillars.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (If [1], then (Not [0].).).
If (Either [4] or [5].), then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then [6].
Not [6]. [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC2-2]
Modus Tonens:
If [6], then [7]. [SC1-3]
Not [7]. [SC2-3]
Therefore, Not [6]..
[SC1-3]
Hypothetical Syllogism:
If [6], then [10].
If [10], then [7].
Therefore, If [6], then [7]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Some natural diets consist of caterpillars.', 1: 'Most triangles have equal angles.', 2: 'Monarch caterpillars have two pairs of tentacles.', 3: 'Goals are what individuals hope to achieve and accomplish.', 4: 'Plants compete for light, water, nutrients and space.', 5: 'Manatees thrive in some of the lagoons, as well as crocodiles.', 6: 'Hydroxychloroquines are drugs.', 7: 'Planets are celestial bodies.', 8: 'A fish farm is work.', 9: 'Explorers have (part) plasma membranes.', 10: 'Some wort plants survive fire.'}
| 6 |
5,409 |
['Either confocal microscopes tend to be large, expensive, and relatively slow to produce an image or fleas have mouthparts that are used to pierce the skin and suck the blood of their hosts.', 'If frogs have metamorphes that means that they have to go through different stages of growth, then either most starfishs have skin or it is not the case that confocal microscopes tend to be large, expensive, and relatively slow to produce an image.', 'Many people rightly believe that frogs have metamorphes that means that they have to go through different stages of growth.', "Whenever it is true that most starfishs have skin, 'either scrap steel is one of the necessary raw materials needed in the manufacture of steel or west african manatees live in quiet areas' is true.", 'It is not the case that wild populations tend to grow and crash, rather than show steady population numbers.', 'We know that either natural diamond is the hardest known mineral or storms bring wind.', 'Once we know natural diamond is the hardest known mineral, we also know that wild populations tend to grow and crash, rather than show steady population numbers.', "Whenever it is true that storms bring wind, 'if most starfishs have skin, then the statement that 'either scrap steel is one of the necessary raw materials needed in the manufacture of steel or west african manatees live in quiet areas' is incorrect' is true."]
|
Either confocal microscopes tend to be large, expensive, and relatively slow to produce an image or fleas have mouthparts that are used to pierce the skin and suck the blood of their hosts. If frogs have metamorphes that means that they have to go through different stages of growth, then either most starfishs have skin or it is not the case that confocal microscopes tend to be large, expensive, and relatively slow to produce an image. Many people rightly believe that frogs have metamorphes that means that they have to go through different stages of growth. Whenever it is true that most starfishs have skin, 'either scrap steel is one of the necessary raw materials needed in the manufacture of steel or west african manatees live in quiet areas' is true. It is not the case that wild populations tend to grow and crash, rather than show steady population numbers. We know that either natural diamond is the hardest known mineral or storms bring wind. Once we know natural diamond is the hardest known mineral, we also know that wild populations tend to grow and crash, rather than show steady population numbers. Whenever it is true that storms bring wind, 'if most starfishs have skin, then the statement that 'either scrap steel is one of the necessary raw materials needed in the manufacture of steel or west african manatees live in quiet areas' is incorrect' is true.
|
Those that suggest fleas have mouthparts that are used to pierce the skin and suck the blood of their hosts are right.
|
Fleas are ectoparasites, which means that they live on the skin's surface, similar to lice or ticks.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or (Not [1].).).
[3]
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (Either [4] or [5].).
If [2], then (Not (Either [4] or [5].).). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [2], then (Not (Either [4] or [5].).).). [SC1-4]
Not [6].
Therefore, If [2], then (Not (Either [4] or [5].).)..
[SC1-4]
Constructive Dilemma:
Either [7] or [8].
If [7], then [6].
If [8], then (If [2], then (Not (Either [4] or [5].).).).
Therefore, Either [6] or (If [2], then (Not (Either [4] or [5].).).)..
|
{0: 'Fleas have mouthparts that are used to pierce the skin and suck the blood of their hosts.', 1: 'Confocal microscopes tend to be large, expensive, and relatively slow to produce an image.', 2: 'Most starfishs have skin.', 3: 'Frogs have metamorphes that means that they have to go through different stages of growth.', 4: 'Scrap steel is one of the necessary raw materials needed in the manufacture of steel.', 5: 'West african manatees live in quiet areas.', 6: 'Wild populations tend to grow and crash, rather than show steady population numbers.', 7: 'Natural diamond is the hardest known mineral.', 8: 'Storms bring wind.'}
| 6 |
5,752 |
['If the claim that if water reaches the leaves from the roots by transpiration, then compliance is group actions does not reflect reality, then the claim that a season is a period does not reflect reality.', 'There is good reason to believe that either cattails help protect the banks of a pond from erosion or farmers monitor weather patterns and check global market prices on the Internet.', "Whenever it is true that the claim that if the claim that if water reaches the leaves from the roots by transpiration, then compliance is group actions does not reflect reality, then a season is a period has no merit, 'young males mate with their sisters and mothers' is true.", "The statement 'young males mate with their sisters and mothers' can be considered false.", "Whenever it is true that cattails help protect the banks of a pond from erosion, 'evidence indicates types' is true.", 'Assuming evidence indicates types, we know that water reaches the leaves from the roots by transpiration.', 'Either some midnights are part of days or if some alkalies promote health, then many wild cats are scavengers themselves as well as the target for scavengers of other species.', 'If some midnights are part of days, then if farmers monitor weather patterns and check global market prices on the Internet, then water reaches the leaves from the roots by transpiration.', 'On the condition that if some alkalies promote health, then many wild cats are scavengers themselves as well as the target for scavengers of other species, it is definitely the case that if farmers monitor weather patterns and check global market prices on the Internet, then water reaches the leaves from the roots by transpiration.']
|
If the claim that if water reaches the leaves from the roots by transpiration, then compliance is group actions does not reflect reality, then the claim that a season is a period does not reflect reality. There is good reason to believe that either cattails help protect the banks of a pond from erosion or farmers monitor weather patterns and check global market prices on the Internet. Whenever it is true that the claim that if the claim that if water reaches the leaves from the roots by transpiration, then compliance is group actions does not reflect reality, then a season is a period has no merit, 'young males mate with their sisters and mothers' is true. The statement 'young males mate with their sisters and mothers' can be considered false. Whenever it is true that cattails help protect the banks of a pond from erosion, 'evidence indicates types' is true. Assuming evidence indicates types, we know that water reaches the leaves from the roots by transpiration. Either some midnights are part of days or if some alkalies promote health, then many wild cats are scavengers themselves as well as the target for scavengers of other species. If some midnights are part of days, then if farmers monitor weather patterns and check global market prices on the Internet, then water reaches the leaves from the roots by transpiration. On the condition that if some alkalies promote health, then many wild cats are scavengers themselves as well as the target for scavengers of other species, it is definitely the case that if farmers monitor weather patterns and check global market prices on the Internet, then water reaches the leaves from the roots by transpiration.
|
It is the case that compliance is group actions.
|
Compliance is expressed as a change in volume per unit change in pressure.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then [2].).), then [9].
Not [9].
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC2-2]
Hypothetical Syllogism:
If [3], then [8].
If [8], then [1].
Therefore, If [3], then [1]..
[SC3-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [4], then [1].).
If (If [6], then [7].), then (If [4], then [1].).
Therefore, If [4], then [1]..
|
{0: 'Compliance is group actions.', 1: 'Water reaches the leaves from the roots by transpiration.', 2: 'A season is a period.', 3: 'Cattails help protect the banks of a pond from erosion.', 4: 'Farmers monitor weather patterns and check global market prices on the Internet.', 5: 'Some midnights are part of days.', 6: 'Some alkalies promote health.', 7: 'Many wild cats are scavengers themselves as well as the target for scavengers of other species.', 8: 'Evidence indicates types.', 9: 'Young males mate with their sisters and mothers.'}
| 6 |
5,952 |
['Assuming vacuum isa condition, we know that it is a common misconception that real estate means lots, residence, and income producing property.', 'Assuming those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, we know that it is not true that rocks cause soil compaction, and plastic sheeting suffocates root systems.', 'There is good reason to believe that either carbon is one of the most important elements on earth with regard to living things or utensils are located in backpacks.', "Whenever it is true that carbon is one of the most important elements on earth with regard to living things, 'either most willows adapt to conditions or redefinition is definition' is true.", 'Provided that utensils are located in backpacks, we know that either most willows adapt to conditions or redefinition is definition.', 'If most willows adapt to conditions, then astronomers describe how to calculate the age of the universe.', 'Should it be the case that astronomers describe how to calculate the age of the universe, it follows that if those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, then rocks cause soil compaction, and plastic sheeting suffocates root systems.', 'At least one of two things is true: some pinworm infection occurs in people, or if redefinition is definition, then if those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, then rocks cause soil compaction, and plastic sheeting suffocates root systems.', 'It is not the case that some pinworm infection occurs in people.']
|
Assuming vacuum isa condition, we know that it is a common misconception that real estate means lots, residence, and income producing property. Assuming those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, we know that it is not true that rocks cause soil compaction, and plastic sheeting suffocates root systems. There is good reason to believe that either carbon is one of the most important elements on earth with regard to living things or utensils are located in backpacks. Whenever it is true that carbon is one of the most important elements on earth with regard to living things, 'either most willows adapt to conditions or redefinition is definition' is true. Provided that utensils are located in backpacks, we know that either most willows adapt to conditions or redefinition is definition. If most willows adapt to conditions, then astronomers describe how to calculate the age of the universe. Should it be the case that astronomers describe how to calculate the age of the universe, it follows that if those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, then rocks cause soil compaction, and plastic sheeting suffocates root systems. At least one of two things is true: some pinworm infection occurs in people, or if redefinition is definition, then if those that suggest if vacuum isa condition, then real estate means lots, residence, and income producing property are wrong, then rocks cause soil compaction, and plastic sheeting suffocates root systems. It is not the case that some pinworm infection occurs in people.
|
It is not the case that vacuum isa condition.
|
Many people rightly believe that vacuum isa condition.
|
FALSE
|
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]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not (If [0], then [1].).), then [2].). [SC2-3]
If [4], then (If (Not (If [0], then [1].).), then [2].). [SC3-3]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or [4].).
If [8], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If [3], then (If (Not (If [0], then [1].).), then [2].)..
[SC3-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If (Not (If [0], then [1].).), then [2].).).
Not [6].
Therefore, If [4], then (If (Not (If [0], then [1].).), then [2].)..
|
{0: 'Vacuum isa condition.', 1: 'Real estate means lots, residence, and income producing property.', 2: 'Rocks cause soil compaction, and plastic sheeting suffocates root systems.', 3: 'Most willows adapt to conditions.', 4: 'Redefinition is definition.', 5: 'Astronomers describe how to calculate the age of the universe.', 6: 'Some pinworm infection occurs in people.', 7: 'Carbon is one of the most important elements on earth with regard to living things.', 8: 'Utensils are located in backpacks.'}
| 6 |
5,477 |
['Provided that gloomy scales are armored scales, we know that either offices are states or most canopy trees grow to feet.', "Should it be the case that either offices are states or most canopy trees grow to feet, it follows that harassment affects a victim's personal life and interferes with the quality of their work.", "If most orchids produce aerial roots, then if either offices are states or most canopy trees grow to feet, then the notion that 'harassment affects a victim's personal life and interferes with the quality of their work' is untrue.", 'If either chloroplasts occur in most cells of the green plant undergoing photosynthesis or children also have a relatively larger body surface area which contributes to more rapid heat loss, then either most orchids produce aerial roots or mortals live, die, then go to a miserable eternity in the underworld.', 'There is good reason to believe that either chloroplasts occur in most cells of the green plant undergoing photosynthesis or children also have a relatively larger body surface area which contributes to more rapid heat loss.', "The statement that 'words can bless a person or they can curse a person' is incorrect.", "Assuming seismologists measure and study earthquakes, we know that if it is not true that if mortals live, die, then go to a miserable eternity in the underworld, then if either offices are states or most canopy trees grow to feet, then the notion that 'harassment affects a victim's personal life and interferes with the quality of their work' is untrue, then words can bless a person or they can curse a person.", 'The claim that seismologists measure and study earthquakes holds true.']
|
Provided that gloomy scales are armored scales, we know that either offices are states or most canopy trees grow to feet. Should it be the case that either offices are states or most canopy trees grow to feet, it follows that harassment affects a victim's personal life and interferes with the quality of their work. If most orchids produce aerial roots, then if either offices are states or most canopy trees grow to feet, then the notion that 'harassment affects a victim's personal life and interferes with the quality of their work' is untrue. If either chloroplasts occur in most cells of the green plant undergoing photosynthesis or children also have a relatively larger body surface area which contributes to more rapid heat loss, then either most orchids produce aerial roots or mortals live, die, then go to a miserable eternity in the underworld. There is good reason to believe that either chloroplasts occur in most cells of the green plant undergoing photosynthesis or children also have a relatively larger body surface area which contributes to more rapid heat loss. The statement that 'words can bless a person or they can curse a person' is incorrect. Assuming seismologists measure and study earthquakes, we know that if it is not true that if mortals live, die, then go to a miserable eternity in the underworld, then if either offices are states or most canopy trees grow to feet, then the notion that 'harassment affects a victim's personal life and interferes with the quality of their work' is untrue, then words can bless a person or they can curse a person. The claim that seismologists measure and study earthquakes holds true.
|
The claim that gloomy scales are armored scales does not reflect reality.
|
It is fair to say that gloomy scales are armored scales.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3].
If (Either [1] or [2].), then (Not [3].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Either [1] or [2].), then (Not [3].).).
If [5], then (If (Either [1] or [2].), then (Not [3].).). [SC3-3]
Therefore, If (Either [1] or [2].), then (Not [3].)..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (Either [4] or [5].).
Either [7] or [8].
Therefore, Either [4] or [5]..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (If (Either [1] or [2].), then (Not [3].).).).), then [6]. [SC1-4]
Not [6].
Therefore, If [5], then (If (Either [1] or [2].), then (Not [3].).)..
[SC1-4]
Modus Ponens:
If [9], then (If (Not (If [5], then (If (Either [1] or [2].), then (Not [3].).).).), then [6].).
[9]
Therefore, If (Not (If [5], then (If (Either [1] or [2].), then (Not [3].).).).), then [6]..
|
{0: 'Gloomy scales are armored scales.', 1: 'Offices are states.', 2: 'Most canopy trees grow to feet.', 3: "Harassment affects a victim's personal life and interferes with the quality of their work.", 4: 'Most orchids produce aerial roots.', 5: 'Mortals live, die, then go to a miserable eternity in the underworld.', 6: 'Words can bless a person or they can curse a person.', 7: 'Chloroplasts occur in most cells of the green plant undergoing photosynthesis.', 8: 'Children also have a relatively larger body surface area which contributes to more rapid heat loss.', 9: 'Seismologists measure and study earthquakes.'}
| 6 |
5,118 |
['When the claim that related viruses cause similar diseases in cats and monkeys is false is true, it follows that forest fires increase the likelihood of future forest fires.', 'Assuming infected roses have a black sooty appearance when uncovered in the spring, we know that if the claim that related viruses cause similar diseases in cats and monkeys is false, then the claim that forest fires increase the likelihood of future forest fires does not reflect reality.', "So long as we know that the claim that either infected roses have a black sooty appearance when uncovered in the spring or various countries accommodate children with special needs in different ways is false, 'academic freedom is defended within an environment of civility, tolerance, and mutual respect' is true.", 'We know that either bodies often respond to stimulus even when the mind is resistant or if various countries accommodate children with special needs in different ways, then if the claim that related viruses cause similar diseases in cats and monkeys is false, then the claim that forest fires increase the likelihood of future forest fires does not reflect reality.', 'It is not the case that bodies often respond to stimulus even when the mind is resistant.', 'It is true that every experience stimulates the production of neurotransmitter chemicals by the nervous system.', "Once we know cultural metaphors are like stories, symbols or ideas that are common to humanity, we also know that if every experience stimulates the production of neurotransmitter chemicals by the nervous system, then the statement that 'academic freedom is defended within an environment of civility, tolerance, and mutual respect' is incorrect.", 'It is a simple truth that cultural metaphors are like stories, symbols or ideas that are common to humanity.']
|
When the claim that related viruses cause similar diseases in cats and monkeys is false is true, it follows that forest fires increase the likelihood of future forest fires. Assuming infected roses have a black sooty appearance when uncovered in the spring, we know that if the claim that related viruses cause similar diseases in cats and monkeys is false, then the claim that forest fires increase the likelihood of future forest fires does not reflect reality. So long as we know that the claim that either infected roses have a black sooty appearance when uncovered in the spring or various countries accommodate children with special needs in different ways is false, 'academic freedom is defended within an environment of civility, tolerance, and mutual respect' is true. We know that either bodies often respond to stimulus even when the mind is resistant or if various countries accommodate children with special needs in different ways, then if the claim that related viruses cause similar diseases in cats and monkeys is false, then the claim that forest fires increase the likelihood of future forest fires does not reflect reality. It is not the case that bodies often respond to stimulus even when the mind is resistant. It is true that every experience stimulates the production of neurotransmitter chemicals by the nervous system. Once we know cultural metaphors are like stories, symbols or ideas that are common to humanity, we also know that if every experience stimulates the production of neurotransmitter chemicals by the nervous system, then the statement that 'academic freedom is defended within an environment of civility, tolerance, and mutual respect' is incorrect. It is a simple truth that cultural metaphors are like stories, symbols or ideas that are common to humanity.
|
The idea that related viruses cause similar diseases in cats and monkeys is true.
|
Some captive toads eat vegetables.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5].
Not [5]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].). [SC1-4]
[6]
Therefore, Not [5]..
[SC1-4]
Modus Ponens:
If [7], then (If [6], then (Not [5].).).
[7]
Therefore, If [6], then (Not [5].)..
[SC3-2]
Disjunctive Syllogism:
Either [4] or (If [3], then (If (Not [0].), then (Not [1].).).).
Not [4].
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Related viruses cause similar diseases in cats and monkeys.', 1: 'Forest fires increase the likelihood of future forest fires.', 2: 'Infected roses have a black sooty appearance when uncovered in the spring.', 3: 'Various countries accommodate children with special needs in different ways.', 4: 'Bodies often respond to stimulus even when the mind is resistant.', 5: 'Academic freedom is defended within an environment of civility, tolerance, and mutual respect.', 6: 'Every experience stimulates the production of neurotransmitter chemicals by the nervous system.', 7: 'Cultural metaphors are like stories, symbols or ideas that are common to humanity.'}
| 6 |
5,012 |
['At least one of two things is true: dormancy can help a plant to survive bad conditions, or it is not true that potential energy is the possibility of future change.', 'We know that at least one of two things is true: either gonadal teratomas occur more frequently after puberty or children learn to value life by preserving, appreciating and nurturing living and growing things, or the claim that if shoe isa artifact, then graphics chips are among the unsung heroes of computing today is false.', "The notion that 'either gonadal teratomas occur more frequently after puberty or children learn to value life by preserving, appreciating and nurturing living and growing things' is untrue.", "It is rational to believe that either sockeye salmon rely on streams, lakes, estuaries and the ocean for their lifecycle or if it is not the case that either if shoe isa artifact, then graphics chips are among the unsung heroes of computing today or the statement 'dormancy can help a plant to survive bad conditions' can be considered false, then vegetarian diets provide intake.", 'Some people mistakenly believe that sockeye salmon rely on streams, lakes, estuaries and the ocean for their lifecycle.', "When some people mistakenly believe that if it is not the case that either if shoe isa artifact, then graphics chips are among the unsung heroes of computing today or the statement 'dormancy can help a plant to survive bad conditions' can be considered false, then the statement, vegetarian diets provide intake, does not hold is true, it follows that kingship seems antiquated in a democratic society where everyone is treated equal and free.", "The statement 'kingship seems antiquated in a democratic society where everyone is treated equal and free' can be considered false."]
|
At least one of two things is true: dormancy can help a plant to survive bad conditions, or it is not true that potential energy is the possibility of future change. We know that at least one of two things is true: either gonadal teratomas occur more frequently after puberty or children learn to value life by preserving, appreciating and nurturing living and growing things, or the claim that if shoe isa artifact, then graphics chips are among the unsung heroes of computing today is false. The notion that 'either gonadal teratomas occur more frequently after puberty or children learn to value life by preserving, appreciating and nurturing living and growing things' is untrue. It is rational to believe that either sockeye salmon rely on streams, lakes, estuaries and the ocean for their lifecycle or if it is not the case that either if shoe isa artifact, then graphics chips are among the unsung heroes of computing today or the statement 'dormancy can help a plant to survive bad conditions' can be considered false, then vegetarian diets provide intake. Some people mistakenly believe that sockeye salmon rely on streams, lakes, estuaries and the ocean for their lifecycle. When some people mistakenly believe that if it is not the case that either if shoe isa artifact, then graphics chips are among the unsung heroes of computing today or the statement 'dormancy can help a plant to survive bad conditions' can be considered false, then the statement, vegetarian diets provide intake, does not hold is true, it follows that kingship seems antiquated in a democratic society where everyone is treated equal and free. The statement 'kingship seems antiquated in a democratic society where everyone is treated equal and free' can be considered false.
|
It is not true that potential energy is the possibility of future change.
|
It is not true that potential energy is the possibility of future change.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [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]. [SC1-3]
If (Not (Either (If [2], then [3].) or (Not [1].).).), then (Not [4].). [SC2-3]
Therefore, Either (If [2], then [3].) or (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (Either (If [2], then [3].) or (Not [1].).).), then [4].).
Not [8].
Therefore, If (Not (Either (If [2], then [3].) or (Not [1].).).), then [4]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (Either (If [2], then [3].) or (Not [1].).).), then (Not [4].).).), then [7].
Not [7].
Therefore, If (Not (Either (If [2], then [3].) or (Not [1].).).), then (Not [4].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Not (If [2], then [3].).).
Not (Either [5] or [6].).
Therefore, Not (If [2], then [3].)..
|
{0: 'Potential energy is the possibility of future change.', 1: 'Dormancy can help a plant to survive bad conditions.', 2: 'Shoe isa artifact.', 3: 'Graphics chips are among the unsung heroes of computing today.', 4: 'Vegetarian diets provide intake.', 5: 'Gonadal teratomas occur more frequently after puberty.', 6: 'Children learn to value life by preserving, appreciating and nurturing living and growing things.', 7: 'Kingship seems antiquated in a democratic society where everyone is treated equal and free.', 8: 'Sockeye salmon rely on streams, lakes, estuaries and the ocean for their lifecycle.'}
| 6 |
5,157 |
['Given that either truth values are equally important to the values of religious satisfaction or skin produces waxy secretion, it can be inferred that either all animals are mammals or ethidium bromides are chemical compounds.', 'There is good reason to believe that either truth values are equally important to the values of religious satisfaction or skin produces waxy secretion.', 'When if man is an animal in a physical world, then most writers are artists, and appreciate that art is born of suffering is true, it follows that if all animals are mammals, then if humans experience negative physiological impact, then crabs have common ancestors.', 'If man is an animal in a physical world, then most writers are artists, and appreciate that art is born of suffering.', 'Once we know it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, we also know that balance scales are used for measuring the mass of an two objects.', "So long as the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, 'either responsible adults display responsible behavior or freedom of conscience is a fundamental human right' is true.", 'Given that the claim that if the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, then the claim that either responsible adults display responsible behavior or freedom of conscience is a fundamental human right does not correspond with reality does not reflect reality, it can be inferred that volcanic events take places.', "One may reasonably assume that if the claim that if the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, then the claim that either responsible adults display responsible behavior or freedom of conscience is a fundamental human right does not correspond with reality does not reflect reality, then the statement that 'volcanic events take places' is incorrect."]
|
Given that either truth values are equally important to the values of religious satisfaction or skin produces waxy secretion, it can be inferred that either all animals are mammals or ethidium bromides are chemical compounds. There is good reason to believe that either truth values are equally important to the values of religious satisfaction or skin produces waxy secretion. When if man is an animal in a physical world, then most writers are artists, and appreciate that art is born of suffering is true, it follows that if all animals are mammals, then if humans experience negative physiological impact, then crabs have common ancestors. If man is an animal in a physical world, then most writers are artists, and appreciate that art is born of suffering. Once we know it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, we also know that balance scales are used for measuring the mass of an two objects. So long as the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, 'either responsible adults display responsible behavior or freedom of conscience is a fundamental human right' is true. Given that the claim that if the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, then the claim that either responsible adults display responsible behavior or freedom of conscience is a fundamental human right does not correspond with reality does not reflect reality, it can be inferred that volcanic events take places. One may reasonably assume that if the claim that if the claim that if it is not true that if ethidium bromides are chemical compounds, then if humans experience negative physiological impact, then crabs have common ancestors, then the statement, balance scales are used for measuring the mass of an two objects, does not hold does not reflect reality, then the claim that either responsible adults display responsible behavior or freedom of conscience is a fundamental human right does not correspond with reality does not reflect reality, then the statement that 'volcanic events take places' is incorrect.
|
Should it be the case that humans experience negative physiological impact, it follows that crabs have common ancestors.
|
Should it be the case that humans experience negative physiological impact, it follows that crabs have common ancestors.
|
TRUE
|
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]
Modus Ponens:
If (Either [6] or [7].), then (Either [2] or [3].).
Either [6] or [7].
Therefore, Either [2] or [3]..
[SC2-1]
Modus Ponens:
If (If [4], then [5].), then (If [2], then (If [0], then [1].).).
If [4], then [5].
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (If [0], then [1].).).), then [8].
If (Not (If [3], then (If [0], then [1].).).), then (Not [8].). [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (If [0], then [1].).).), then (Not [8].).).), then (Either [9] or [10].).
If (Not (If (Not (If [3], then (If [0], then [1].).).), then (Not [8].).).), then (Not (Either [9] or [10].).). [SC2-3]
Therefore, If (Not (If [3], then (If [0], then [1].).).), then (Not [8].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [3], then (If [0], then [1].).).), then (Not [8].).).), then (Not (Either [9] or [10].).).).), then [11].
If (Not (If (Not (If (Not (If [3], then (If [0], then [1].).).), then (Not [8].).).), then (Not (Either [9] or [10].).).).), then (Not [11].).
Therefore, If (Not (If (Not (If [3], then (If [0], then [1].).).), then (Not [8].).).), then (Not (Either [9] or [10].).)..
|
{0: 'Humans experience negative physiological impact.', 1: 'Crabs have common ancestors.', 2: 'All animals are mammals.', 3: 'Ethidium bromides are chemical compounds.', 4: 'Man is an animal in a physical world.', 5: 'Most writers are artists, and appreciate that art is born of suffering.', 6: 'Truth values are equally important to the values of religious satisfaction.', 7: 'Skin produces waxy secretion.', 8: 'Balance scales are used for measuring the mass of an two objects.', 9: 'Responsible adults display responsible behavior.', 10: 'Freedom of conscience is a fundamental human right.', 11: 'Volcanic events take places.'}
| 6 |
5,337 |
['One may reasonably assume that if it is a common misconception that either boredom can be the biggest obstacle to eating healthy or a zakat is charity, then mothers suckle only their own babies, and the young stop nursing anywhere from one to five months.', 'Given that convents have (part) shower baths, it can be inferred that either some kidneys lose ability or the claim that mothers suckle only their own babies, and the young stop nursing anywhere from one to five months has no merit.', 'Assuming some iron compounds are suspected carcinogens, we know that either some kidneys lose ability or the claim that mothers suckle only their own babies, and the young stop nursing anywhere from one to five months has no merit.', 'Either colors have healing qualities for the body, mind and spirit or if pushchairs have (part) axles, then astronomers know pretty accurately how fast galaxies are moving by their color.', "Given that if pushchairs have (part) axles, then astronomers know pretty accurately how fast galaxies are moving by their color, it can be inferred that the notion that 'some kidneys lose ability' is untrue.", "It is a fact that either if problem solving becomes easier when people work together, then earth orbiting satellites make it possible to continuously monitor the world's food supplies or foetus is simply the Latin word for young or offspring.", "One may reasonably assume that if if problem solving becomes easier when people work together, then earth orbiting satellites make it possible to continuously monitor the world's food supplies, then convents have (part) shower baths.", 'Given that foetus is simply the Latin word for young or offspring, it can be inferred that some iron compounds are suspected carcinogens.', "So long as the claim that if colors have healing qualities for the body, mind and spirit, then the notion that 'some kidneys lose ability' is untrue does not correspond with reality, 'chemotherapy is the standard treatment to destroy or control myeloma cells' is true.", "Should it be the case that the claim that if colors have healing qualities for the body, mind and spirit, then the notion that 'some kidneys lose ability' is untrue does not correspond with reality, it follows that the statement, chemotherapy is the standard treatment to destroy or control myeloma cells, does not hold."]
|
One may reasonably assume that if it is a common misconception that either boredom can be the biggest obstacle to eating healthy or a zakat is charity, then mothers suckle only their own babies, and the young stop nursing anywhere from one to five months. Given that convents have (part) shower baths, it can be inferred that either some kidneys lose ability or the claim that mothers suckle only their own babies, and the young stop nursing anywhere from one to five months has no merit. Assuming some iron compounds are suspected carcinogens, we know that either some kidneys lose ability or the claim that mothers suckle only their own babies, and the young stop nursing anywhere from one to five months has no merit. Either colors have healing qualities for the body, mind and spirit or if pushchairs have (part) axles, then astronomers know pretty accurately how fast galaxies are moving by their color. Given that if pushchairs have (part) axles, then astronomers know pretty accurately how fast galaxies are moving by their color, it can be inferred that the notion that 'some kidneys lose ability' is untrue. It is a fact that either if problem solving becomes easier when people work together, then earth orbiting satellites make it possible to continuously monitor the world's food supplies or foetus is simply the Latin word for young or offspring. One may reasonably assume that if if problem solving becomes easier when people work together, then earth orbiting satellites make it possible to continuously monitor the world's food supplies, then convents have (part) shower baths. Given that foetus is simply the Latin word for young or offspring, it can be inferred that some iron compounds are suspected carcinogens. So long as the claim that if colors have healing qualities for the body, mind and spirit, then the notion that 'some kidneys lose ability' is untrue does not correspond with reality, 'chemotherapy is the standard treatment to destroy or control myeloma cells' is true. Should it be the case that the claim that if colors have healing qualities for the body, mind and spirit, then the notion that 'some kidneys lose ability' is untrue does not correspond with reality, it follows that the statement, chemotherapy is the standard treatment to destroy or control myeloma cells, does not hold.
|
It is a fact that either boredom can be the biggest obstacle to eating healthy or a zakat is charity.
|
There is good reason to believe that either boredom causes a desire to travel or zakats are charity.
|
Uncertain
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2].
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (Either [3] or (Not [2].).).
If [8], then (Either [3] or (Not [2].).).
Therefore, Either [3] or (Not [2].)..
[SC1-3]
Constructive Dilemma:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then [7].
If [12], then [8].
Therefore, Either [7] or [8]..
[SC2-2]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (Not [3].). [SC2-3]
If (If [5], then [6].), then (Not [3].).
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [3].).).), then [9].
If (Not (If [4], then (Not [3].).).), then (Not [9].).
Therefore, If [4], then (Not [3].)..
|
{0: 'Boredom can be the biggest obstacle to eating healthy.', 1: 'A zakat is charity.', 2: 'Mothers suckle only their own babies, and the young stop nursing anywhere from one to five months.', 3: 'Some kidneys lose ability.', 4: 'Colors have healing qualities for the body, mind and spirit.', 5: 'Pushchairs have (part) axles.', 6: 'Astronomers know pretty accurately how fast galaxies are moving by their color.', 7: 'Convents have (part) shower baths.', 8: 'Some iron compounds are suspected carcinogens.', 9: 'Chemotherapy is the standard treatment to destroy or control myeloma cells.', 10: 'Problem solving becomes easier when people work together.', 11: "Earth orbiting satellites make it possible to continuously monitor the world's food supplies.", 12: 'Foetus is simply the Latin word for young or offspring.'}
| 6 |
5,127 |
['One may reasonably assume that if the claim that if folders are located in file cabinets, then nMS stimulates the nerves controlling the muscular activity is false, then smaller antennas can see more sky within their beam patterns, but have less gain.', "We know that either quaking aspen is the dominant tree species presently or if the claim that if folders are located in file cabinets, then nMS stimulates the nerves controlling the muscular activity is false, then the statement 'smaller antennas can see more sky within their beam patterns, but have less gain' can be considered false.", 'It is not the case that quaking aspen is the dominant tree species presently.', 'At least one of two things is true: either all monarch butterflies congregate at specific winter roosting sites in California and Mexico or chimpanzees eat a variety of food with the largest portion consisting of fruit and leaves, or eukaryotic cells have two copies of genes per cell.', "Whenever it is true that either all monarch butterflies congregate at specific winter roosting sites in California and Mexico or chimpanzees eat a variety of food with the largest portion consisting of fruit and leaves, 'either food moves to small intestines or advective transport is attributed to the average motion of the fluid' is true.", 'Should it be the case that eukaryotic cells have two copies of genes per cell, it follows that if folders are located in file cabinets, then the claim that nMS stimulates the nerves controlling the muscular activity has no merit.', 'Given that either food moves to small intestines or advective transport is attributed to the average motion of the fluid, it can be inferred that a box seat is a seat.', 'The claim that a box seat is a seat does not reflect reality.']
|
One may reasonably assume that if the claim that if folders are located in file cabinets, then nMS stimulates the nerves controlling the muscular activity is false, then smaller antennas can see more sky within their beam patterns, but have less gain. We know that either quaking aspen is the dominant tree species presently or if the claim that if folders are located in file cabinets, then nMS stimulates the nerves controlling the muscular activity is false, then the statement 'smaller antennas can see more sky within their beam patterns, but have less gain' can be considered false. It is not the case that quaking aspen is the dominant tree species presently. At least one of two things is true: either all monarch butterflies congregate at specific winter roosting sites in California and Mexico or chimpanzees eat a variety of food with the largest portion consisting of fruit and leaves, or eukaryotic cells have two copies of genes per cell. Whenever it is true that either all monarch butterflies congregate at specific winter roosting sites in California and Mexico or chimpanzees eat a variety of food with the largest portion consisting of fruit and leaves, 'either food moves to small intestines or advective transport is attributed to the average motion of the fluid' is true. Should it be the case that eukaryotic cells have two copies of genes per cell, it follows that if folders are located in file cabinets, then the claim that nMS stimulates the nerves controlling the muscular activity has no merit. Given that either food moves to small intestines or advective transport is attributed to the average motion of the fluid, it can be inferred that a box seat is a seat. The claim that a box seat is a seat does not reflect reality.
|
The statement that 'folders are located in file cabinets' is incorrect.
|
The statement that 'folders are located in file cabinets' is incorrect.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [4].
If (Not (If [0], then [1].).), then (Not [4].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Not (If [0], then [1].).), then (Not [4].).).
Not [5].
Therefore, If (Not (If [0], then [1].).), then (Not [4].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If [0], then (Not [1].).). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (Either [2] or [3].).
If [8], then (If [0], then (Not [1].).).
Therefore, Either (Either [2] or [3].) or (If [0], then (Not [1].).)..
[SC2-2]
Modus Tonens:
If (Either [2] or [3].), then [9].
Not [9].
Therefore, Not (Either [2] or [3].)..
|
{0: 'Folders are located in file cabinets.', 1: 'NMS stimulates the nerves controlling the muscular activity.', 2: 'Food moves to small intestines.', 3: 'Advective transport is attributed to the average motion of the fluid.', 4: 'Smaller antennas can see more sky within their beam patterns, but have less gain.', 5: 'Quaking aspen is the dominant tree species presently.', 6: 'All monarch butterflies congregate at specific winter roosting sites in California and Mexico.', 7: 'Chimpanzees eat a variety of food with the largest portion consisting of fruit and leaves.', 8: 'Eukaryotic cells have two copies of genes per cell.', 9: 'A box seat is a seat.'}
| 6 |
5,046 |
["Should it be the case that the statement 'if either some fungi kill caterpillars or cholesterol is found only in living, moving creatures, then either power amplifiers are functionally simple units or natural pearls are very rare' can be considered false, it follows that accounting provides the measures of economic activity for our society and for our individual lives.", 'Some people mistakenly believe that accounting provides the measures of economic activity for our society and for our individual lives.', 'One may reasonably assume that if those that suggest either some fungi kill caterpillars or cholesterol is found only in living, moving creatures are wrong, then quality of life is enriched by having a variety of associations with others.', 'The claim that food provides enough energy does not reflect reality.', 'It is true that most eels absorb oxygen.', "If the statement that 'if most eels absorb oxygen, then if it is not true that if those that suggest either some fungi kill caterpillars or cholesterol is found only in living, moving creatures are wrong, then it is not the case that quality of life is enriched by having a variety of associations with others, then food provides enough energy' is incorrect, then humans have bones.", 'Some people mistakenly believe that humans have bones.']
|
Should it be the case that the statement 'if either some fungi kill caterpillars or cholesterol is found only in living, moving creatures, then either power amplifiers are functionally simple units or natural pearls are very rare' can be considered false, it follows that accounting provides the measures of economic activity for our society and for our individual lives. Some people mistakenly believe that accounting provides the measures of economic activity for our society and for our individual lives. One may reasonably assume that if those that suggest either some fungi kill caterpillars or cholesterol is found only in living, moving creatures are wrong, then quality of life is enriched by having a variety of associations with others. The claim that food provides enough energy does not reflect reality. It is true that most eels absorb oxygen. If the statement that 'if most eels absorb oxygen, then if it is not true that if those that suggest either some fungi kill caterpillars or cholesterol is found only in living, moving creatures are wrong, then it is not the case that quality of life is enriched by having a variety of associations with others, then food provides enough energy' is incorrect, then humans have bones. Some people mistakenly believe that humans have bones.
|
There is good reason to believe that either power amplifiers are functionally simple units or natural pearls are very rare.
|
It is rational to believe that either power amplifiers come in a variety of sizes, each with different capabilities and features or natural pearls are the most expensive, followed by cultured pearls.
|
Uncertain
|
Modus Ponens:
If (Either [2] or [3].), then (Either [0] or [1].). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (Either [0] or [1].).).), then [5].
Not [5].
Therefore, If (Either [2] or [3].), then (Either [0] or [1].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [4].
If (Not (Either [2] or [3].).), then (Not [4].). [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [2] or [3].).), then (Not [4].).).), then [6]. [SC1-3]
Not [6].
Therefore, If (Not (Either [2] or [3].).), then (Not [4].)..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Not (Either [2] or [3].).), then (Not [4].).).), then [6].). [SC1-4]
[7]
Therefore, If (Not (If (Not (Either [2] or [3].).), then (Not [4].).).), then [6]..
[SC1-4]
Modus Tonens:
If (Not (If [7], then (If (Not (If (Not (Either [2] or [3].).), then (Not [4].).).), then [6].).).), then [8].
Not [8].
Therefore, If [7], then (If (Not (If (Not (Either [2] or [3].).), then (Not [4].).).), then [6].)..
|
{0: 'Power amplifiers are functionally simple units.', 1: 'Natural pearls are very rare.', 2: 'Some fungi kill caterpillars.', 3: 'Cholesterol is found only in living, moving creatures.', 4: 'Quality of life is enriched by having a variety of associations with others.', 5: 'Accounting provides the measures of economic activity for our society and for our individual lives.', 6: 'Food provides enough energy.', 7: 'Most eels absorb oxygen.', 8: 'Humans have bones.'}
| 6 |
5,235 |
['At least one of two things is true: lungs are solid, respiratory surface is offered by the inner lining of parabronchi, or if corrosive gases can cause rapid destruction of skin tissue, then catalytic activity is quite high.', 'If lungs are solid, respiratory surface is offered by the inner lining of parabronchi, then land trusts protect property from development in more than one way.', 'Given that osteoblasts have (part) cytoplasm, it can be inferred that if if corrosive gases can cause rapid destruction of skin tissue, then catalytic activity is quite high, then land trusts protect property from development in more than one way.', 'It is a fact that either man is a finite, free moral being or some wives have colon cancer.', 'We know that at least one of two things is true: scientists working in different fields define the ranges of wavelength differently, or environmental adaptations are another area in which gecko species vary.', "So long as scientists working in different fields define the ranges of wavelength differently, 'the statement 'implants lose a little radioactivity each day' can be considered false' is true.", "Should it be the case that environmental adaptations are another area in which gecko species vary, it follows that the statement 'implants lose a little radioactivity each day' can be considered false.", "So long as histograms show continuity of data i.e. continuous interval, 'if either man is a finite, free moral being or some wives have colon cancer, then either implants lose a little radioactivity each day or osteoblasts have (part) cytoplasm' is true.", 'The claim that histograms show continuity of data i.e. continuous interval is true.']
|
At least one of two things is true: lungs are solid, respiratory surface is offered by the inner lining of parabronchi, or if corrosive gases can cause rapid destruction of skin tissue, then catalytic activity is quite high. If lungs are solid, respiratory surface is offered by the inner lining of parabronchi, then land trusts protect property from development in more than one way. Given that osteoblasts have (part) cytoplasm, it can be inferred that if if corrosive gases can cause rapid destruction of skin tissue, then catalytic activity is quite high, then land trusts protect property from development in more than one way. It is a fact that either man is a finite, free moral being or some wives have colon cancer. We know that at least one of two things is true: scientists working in different fields define the ranges of wavelength differently, or environmental adaptations are another area in which gecko species vary. So long as scientists working in different fields define the ranges of wavelength differently, 'the statement 'implants lose a little radioactivity each day' can be considered false' is true. Should it be the case that environmental adaptations are another area in which gecko species vary, it follows that the statement 'implants lose a little radioactivity each day' can be considered false. So long as histograms show continuity of data i.e. continuous interval, 'if either man is a finite, free moral being or some wives have colon cancer, then either implants lose a little radioactivity each day or osteoblasts have (part) cytoplasm' is true. The claim that histograms show continuity of data i.e. continuous interval is true.
|
The idea that land trusts protect property from development in more than one way is true.
|
The idea that land trusts protect property from development in more than one way is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0].
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Ponens:
If [4], then (If (If [2], then [3].), then [0].).
[4] [SC2-2]
Therefore, If (If [2], then [3].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [4]. [SC1-3]
Not [5]. [SC2-3]
Therefore, [4].
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (Either [5] or [4].). [SC1-4]
Either [8] or [9].
Therefore, Either [5] or [4]..
[SC1-4]
Modus Ponens:
If [10], then (If (Either [8] or [9].), then (Either [5] or [4].).).
[10]
Therefore, If (Either [8] or [9].), then (Either [5] or [4].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Land trusts protect property from development in more than one way.', 1: 'Lungs are solid, respiratory surface is offered by the inner lining of parabronchi.', 2: 'Corrosive gases can cause rapid destruction of skin tissue.', 3: 'Catalytic activity is quite high.', 4: 'Osteoblasts have (part) cytoplasm.', 5: 'Implants lose a little radioactivity each day.', 6: 'Scientists working in different fields define the ranges of wavelength differently.', 7: 'Environmental adaptations are another area in which gecko species vary.', 8: 'Man is a finite, free moral being.', 9: 'Some wives have colon cancer.', 10: 'Histograms show continuity of data i.e. continuous interval.'}
| 6 |
5,538 |
['It is a common misconception that either arteries carry blood away from heart, to tissues or most kudzu bugs eat soybean plants.', 'One may reasonably assume that if either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature, then either arteries carry blood away from heart, to tissues or most kudzu bugs eat soybean plants.', 'It is not true that many researchers study reproduction as part of a doctorate in reproductive or developmental biology.', 'If the claim that if predators play an important role in keeping twospotted spider mite populations in check, then either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature does not correspond with reality, then most chloroplasts have membranes.', 'One may reasonably assume that if the claim that if predators play an important role in keeping twospotted spider mite populations in check, then either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature does not correspond with reality, then it is a common misconception that most chloroplasts have membranes.', "Provided that the notion that 'if the claim that if fertilizers containing only nitrogen and potassium are commercially available, then predators play an important role in keeping twospotted spider mite populations in check does not correspond with reality, then many researchers study reproduction as part of a doctorate in reproductive or developmental biology' is untrue, we know that freedom of expression is protected in the Canadian Charter of Rights and Freedoms.", 'We know that the claim that freedom of expression is protected in the Canadian Charter of Rights and Freedoms is false.']
|
It is a common misconception that either arteries carry blood away from heart, to tissues or most kudzu bugs eat soybean plants. One may reasonably assume that if either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature, then either arteries carry blood away from heart, to tissues or most kudzu bugs eat soybean plants. It is not true that many researchers study reproduction as part of a doctorate in reproductive or developmental biology. If the claim that if predators play an important role in keeping twospotted spider mite populations in check, then either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature does not correspond with reality, then most chloroplasts have membranes. One may reasonably assume that if the claim that if predators play an important role in keeping twospotted spider mite populations in check, then either research focuses on how antibodies kill viruses and the structure of various viral components or incandescent light is produced by heating a tungsten filament to a high temperature does not correspond with reality, then it is a common misconception that most chloroplasts have membranes. Provided that the notion that 'if the claim that if fertilizers containing only nitrogen and potassium are commercially available, then predators play an important role in keeping twospotted spider mite populations in check does not correspond with reality, then many researchers study reproduction as part of a doctorate in reproductive or developmental biology' is untrue, we know that freedom of expression is protected in the Canadian Charter of Rights and Freedoms. We know that the claim that freedom of expression is protected in the Canadian Charter of Rights and Freedoms is false.
|
The statement 'fertilizers containing only nitrogen and potassium are commercially available' can be considered false.
|
Fertilizers containing only nitrogen and potassium are commercially available.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then (Either [1] or [2].).
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If [0], then [5]. [SC1-3]
If [5], then (Either [3] or [4].). [SC2-3]
Therefore, If [0], then (Either [3] or [4].)..
[SC1-3]
Modus Tonens:
If (Not (If [0], then [5].).), then [7]. [SC1-4]
Not [7].
Therefore, If [0], then [5]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [0], then [5].).), then [7].).), then [8].
Not [8].
Therefore, If (Not (If [0], then [5].).), then [7]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [3] or [4].).).), then [6].
If (Not (If [5], then (Either [3] or [4].).).), then (Not [6].).
Therefore, If [5], then (Either [3] or [4].)..
|
{0: 'Fertilizers containing only nitrogen and potassium are commercially available.', 1: 'Arteries carry blood away from heart, to tissues.', 2: 'Most kudzu bugs eat soybean plants.', 3: 'Research focuses on how antibodies kill viruses and the structure of various viral components.', 4: 'Incandescent light is produced by heating a tungsten filament to a high temperature.', 5: 'Predators play an important role in keeping twospotted spider mite populations in check.', 6: 'Most chloroplasts have membranes.', 7: 'Many researchers study reproduction as part of a doctorate in reproductive or developmental biology.', 8: 'Freedom of expression is protected in the Canadian Charter of Rights and Freedoms.'}
| 6 |
5,241 |
['When plastic bags have few small holes is true, it follows that if cognitive worry is manifested in negative self-reference and fear about future outcomes, then most blossoms have yellow petals.', 'One may reasonably assume that if residues also provide the feedstocks for base oils used in the manufacture of lubricants, then if cognitive worry is manifested in negative self-reference and fear about future outcomes, then most blossoms have yellow petals.', 'Should it be the case that schizophrenia appears to occur in equal rates among men and women, but women have a later onset, it follows that plastic bags have few small holes.', 'Given that copper also plays a role regulating blood clotting, it can be inferred that residues also provide the feedstocks for base oils used in the manufacture of lubricants.', 'Either one or both of these statements are true: charcoal is fuel, or aspens are particularly well-suited to floodplains.', "Whenever it is true that charcoal is fuel, 'either male dominance is a political system or some elephants escape from herds' is true.", 'When aspens are particularly well-suited to floodplains is true, it follows that either male dominance is a political system or some elephants escape from herds.', 'Should it be the case that dragons are most abundant in the lower arid forest and savanna, it follows that if male dominance is a political system, then schizophrenia appears to occur in equal rates among men and women, but women have a later onset.', 'The claim that dragons are most abundant in the lower arid forest and savanna is true.', 'We know that at least one of two things is true: if mustelids have a huge impact on New Zealand s native species, then clonings are biological research, or all persons live by being members of a species, specifically humanity.', "So long as if mustelids have a huge impact on New Zealand s native species, then clonings are biological research, 'if some elephants escape from herds, then copper also plays a role regulating blood clotting' is true.", 'Provided that all persons live by being members of a species, specifically humanity, we know that if some elephants escape from herds, then copper also plays a role regulating blood clotting.']
|
When plastic bags have few small holes is true, it follows that if cognitive worry is manifested in negative self-reference and fear about future outcomes, then most blossoms have yellow petals. One may reasonably assume that if residues also provide the feedstocks for base oils used in the manufacture of lubricants, then if cognitive worry is manifested in negative self-reference and fear about future outcomes, then most blossoms have yellow petals. Should it be the case that schizophrenia appears to occur in equal rates among men and women, but women have a later onset, it follows that plastic bags have few small holes. Given that copper also plays a role regulating blood clotting, it can be inferred that residues also provide the feedstocks for base oils used in the manufacture of lubricants. Either one or both of these statements are true: charcoal is fuel, or aspens are particularly well-suited to floodplains. Whenever it is true that charcoal is fuel, 'either male dominance is a political system or some elephants escape from herds' is true. When aspens are particularly well-suited to floodplains is true, it follows that either male dominance is a political system or some elephants escape from herds. Should it be the case that dragons are most abundant in the lower arid forest and savanna, it follows that if male dominance is a political system, then schizophrenia appears to occur in equal rates among men and women, but women have a later onset. The claim that dragons are most abundant in the lower arid forest and savanna is true. We know that at least one of two things is true: if mustelids have a huge impact on New Zealand s native species, then clonings are biological research, or all persons live by being members of a species, specifically humanity. So long as if mustelids have a huge impact on New Zealand s native species, then clonings are biological research, 'if some elephants escape from herds, then copper also plays a role regulating blood clotting' is true. Provided that all persons live by being members of a species, specifically humanity, we know that if some elephants escape from herds, then copper also plays a role regulating blood clotting.
|
Should it be the case that cognitive worry is manifested in negative self-reference and fear about future outcomes, it follows that most blossoms have yellow petals.
|
Should it be the case that cognitive worry is manifested in negative self-reference and fear about future outcomes, it follows that some blossoms are part of marigolds.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].).
If [3], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [2].
If [5], then [3].
Therefore, Either [2] or [3]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7]. [SC1-3]
If [6], then [4]. [SC2-3]
If [7], then [5]. [SC3-3]
Therefore, Either [4] or [5]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [6] or [7].).
If [9], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC2-3]
Modus Ponens:
If [10], then (If [6], then [4].).
[10]
Therefore, If [6], then [4]..
[SC3-3]
Disjunction Elimination:
Either (If [11], then [12].) or [13].
If (If [11], then [12].), then (If [7], then [5].).
If [13], then (If [7], then [5].).
Therefore, If [7], then [5]..
|
{0: 'Cognitive worry is manifested in negative self-reference and fear about future outcomes.', 1: 'Most blossoms have yellow petals.', 2: 'Plastic bags have few small holes.', 3: 'Residues also provide the feedstocks for base oils used in the manufacture of lubricants.', 4: 'Schizophrenia appears to occur in equal rates among men and women, but women have a later onset.', 5: 'Copper also plays a role regulating blood clotting.', 6: 'Male dominance is a political system.', 7: 'Some elephants escape from herds.', 8: 'Charcoal is fuel.', 9: 'Aspens are particularly well-suited to floodplains.', 10: 'Dragons are most abundant in the lower arid forest and savanna.', 11: 'Mustelids have a huge impact on New Zealand s native species.', 12: 'Clonings are biological research.', 13: 'All persons live by being members of a species, specifically humanity.'}
| 6 |
5,590 |
['We know that either jockeys have (part) corpi or many mites feeding give the needle a stippled or rusted appearance.', "Given that many mites feeding give the needle a stippled or rusted appearance, it can be inferred that if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes.", "If the notion that 'raccoons are placental animals' is untrue, then either hatha yoga involves the practice of postures known as asanas or gardeners love butterflies.", "So long as either hatha yoga involves the practice of postures known as asanas or gardeners love butterflies, 'those that suggest potatoes grow from eyes which are pieces cut from seed potatoes are wrong' is true.", 'On the condition that jockeys have (part) corpi, it is definitely the case that most public libraries have a genealogy collection, large or small.', 'Provided that most public libraries have a genealogy collection, large or small, we know that wigs stay in fashion for men until the end of the next century.', "One may reasonably assume that if the statement that 'if wigs stay in fashion for men until the end of the next century, then if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes' is incorrect, then if botulism is a rare but serious foodborne disease, then microphones can make a big difference in quality of sound.", "One may reasonably assume that if the statement that 'if wigs stay in fashion for men until the end of the next century, then if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes' is incorrect, then the notion that 'if botulism is a rare but serious foodborne disease, then microphones can make a big difference in quality of sound' is untrue."]
|
We know that either jockeys have (part) corpi or many mites feeding give the needle a stippled or rusted appearance. Given that many mites feeding give the needle a stippled or rusted appearance, it can be inferred that if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes. If the notion that 'raccoons are placental animals' is untrue, then either hatha yoga involves the practice of postures known as asanas or gardeners love butterflies. So long as either hatha yoga involves the practice of postures known as asanas or gardeners love butterflies, 'those that suggest potatoes grow from eyes which are pieces cut from seed potatoes are wrong' is true. On the condition that jockeys have (part) corpi, it is definitely the case that most public libraries have a genealogy collection, large or small. Provided that most public libraries have a genealogy collection, large or small, we know that wigs stay in fashion for men until the end of the next century. One may reasonably assume that if the statement that 'if wigs stay in fashion for men until the end of the next century, then if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes' is incorrect, then if botulism is a rare but serious foodborne disease, then microphones can make a big difference in quality of sound. One may reasonably assume that if the statement that 'if wigs stay in fashion for men until the end of the next century, then if the notion that 'raccoons are placental animals' is untrue, then potatoes grow from eyes which are pieces cut from seed potatoes' is incorrect, then the notion that 'if botulism is a rare but serious foodborne disease, then microphones can make a big difference in quality of sound' is untrue.
|
It is reasonable to believe that raccoons are placental animals.
|
It is reasonable to believe that raccoons are placental animals.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then [1].). [SC2-2]
If [5], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6]. [SC1-3]
If [6], then (If (Not [0].), then [1].). [SC2-3]
Therefore, If [4], then (If (Not [0].), then [1].)..
[SC1-3]
Hypothetical Syllogism:
If [4], then [9].
If [9], then [6].
Therefore, If [4], then [6]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not [0].), then [1].).).), then (If [7], then [8].).
If (Not (If [6], then (If (Not [0].), then [1].).).), then (Not (If [7], then [8].).).
Therefore, If [6], then (If (Not [0].), then [1].)..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [2] or [3].).
If (Either [2] or [3].), then (Not [1].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Raccoons are placental animals.', 1: 'Potatoes grow from eyes which are pieces cut from seed potatoes.', 2: 'Hatha yoga involves the practice of postures known as asanas.', 3: 'Gardeners love butterflies.', 4: 'Jockeys have (part) corpi.', 5: 'Many mites feeding give the needle a stippled or rusted appearance.', 6: 'Wigs stay in fashion for men until the end of the next century.', 7: 'Botulism is a rare but serious foodborne disease.', 8: 'Microphones can make a big difference in quality of sound.', 9: 'Most public libraries have a genealogy collection, large or small.'}
| 6 |
5,358 |
['Should it be the case that the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, it follows that sharing goes beyond food and beyond mating.', 'Given that either sugars have several asymetric carbon atoms or cartoonists are writers whose work depends heavily on hand drawn imagery, it can be inferred that the claim that dioxins are among the most poisonous man-made chemicals is false.', 'It is rational to believe that either sugars have several asymetric carbon atoms or cartoonists are writers whose work depends heavily on hand drawn imagery.', "The statement 'tobacco smoke is the biggest cause of indoor air pollution' can be considered false.", 'It is fair to say that wildfires pose serious hazards to human populations and to natural resources.', 'It is a fact that either turbulence is a fact of life or vaccines reduce likelihood.', "Whenever it is true that turbulence is a fact of life, 'if wildfires pose serious hazards to human populations and to natural resources, then if the claim that if the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, then the claim that sharing goes beyond food and beyond mating is false is false, then tobacco smoke is the biggest cause of indoor air pollution' is true.", 'Given that vaccines reduce likelihood, it can be inferred that if wildfires pose serious hazards to human populations and to natural resources, then if the claim that if the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, then the claim that sharing goes beyond food and beyond mating is false is false, then tobacco smoke is the biggest cause of indoor air pollution.']
|
Should it be the case that the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, it follows that sharing goes beyond food and beyond mating. Given that either sugars have several asymetric carbon atoms or cartoonists are writers whose work depends heavily on hand drawn imagery, it can be inferred that the claim that dioxins are among the most poisonous man-made chemicals is false. It is rational to believe that either sugars have several asymetric carbon atoms or cartoonists are writers whose work depends heavily on hand drawn imagery. The statement 'tobacco smoke is the biggest cause of indoor air pollution' can be considered false. It is fair to say that wildfires pose serious hazards to human populations and to natural resources. It is a fact that either turbulence is a fact of life or vaccines reduce likelihood. Whenever it is true that turbulence is a fact of life, 'if wildfires pose serious hazards to human populations and to natural resources, then if the claim that if the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, then the claim that sharing goes beyond food and beyond mating is false is false, then tobacco smoke is the biggest cause of indoor air pollution' is true. Given that vaccines reduce likelihood, it can be inferred that if wildfires pose serious hazards to human populations and to natural resources, then if the claim that if the claim that either dioxins are among the most poisonous man-made chemicals or pesticides pose risks to human health and the environment, with special risks to children does not correspond with reality, then the claim that sharing goes beyond food and beyond mating is false is false, then tobacco smoke is the biggest cause of indoor air pollution.
|
Many people rightly believe that pesticides pose risks to human health and the environment, with special risks to children.
|
Pesticides can be toxic to humans and lower animals.
|
Uncertain
|
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 [4].
If (Not (Either [1] or [0].).), then (Not [4].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5]. [SC1-3]
Not [5].
Therefore, If (Not (Either [1] or [0].).), then (Not [4].)..
[SC1-3]
Modus Ponens:
If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5].). [SC1-4]
[6]
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5].).).
If [8], then (If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5].).).
Therefore, If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Not [4].).).), then [5].)..
[SC2-1]
Modus Ponens:
If (Either [2] or [3].), then (Not [1].).
Either [2] or [3].
Therefore, Not [1]..
|
{0: 'Pesticides pose risks to human health and the environment, with special risks to children.', 1: 'Dioxins are among the most poisonous man-made chemicals.', 2: 'Sugars have several asymetric carbon atoms.', 3: 'Cartoonists are writers whose work depends heavily on hand drawn imagery.', 4: 'Sharing goes beyond food and beyond mating.', 5: 'Tobacco smoke is the biggest cause of indoor air pollution.', 6: 'Wildfires pose serious hazards to human populations and to natural resources.', 7: 'Turbulence is a fact of life.', 8: 'Vaccines reduce likelihood.'}
| 6 |
5,959 |
['On the condition that bad health can isolate some elderly from activities and social fulfillment, it is definitely the case that those that suggest bananas are a favorite for fresh eating are wrong.', 'When education is recognized as one of the key solutions to the elimination of child labour is true, it follows that either most smoke has serious health effects or bad health can isolate some elderly from activities and social fulfillment.', 'It is a fact that either drake is someone who always gets away from trouble or fruit is capable of decay.', 'Should it be the case that drake is someone who always gets away from trouble , it follows that if most smoke has serious health effects, then those that suggest bananas are a favorite for fresh eating are wrong.', 'Provided that fruit is capable of decay, we know that if most smoke has serious health effects, then those that suggest bananas are a favorite for fresh eating are wrong.', 'We know that either money affects our behavior or seismic noise has many different causes.', 'Either one or both of these statements are true: fundamentalism is mostly mental, concerned primarily with orthodoxy, with having right belief, or if money affects our behavior, then education is recognized as one of the key solutions to the elimination of child labour.', 'It is a common misconception that fundamentalism is mostly mental, concerned primarily with orthodoxy, with having right belief.', "Once we know the notion that 'if seismic noise has many different causes, then education is recognized as one of the key solutions to the elimination of child labour' is untrue, we also know that evolution means that organisms are slowly changing.", "Once we know the notion that 'if seismic noise has many different causes, then education is recognized as one of the key solutions to the elimination of child labour' is untrue, we also know that the statement that states evolution means that organisms are slowly changing is false."]
|
On the condition that bad health can isolate some elderly from activities and social fulfillment, it is definitely the case that those that suggest bananas are a favorite for fresh eating are wrong. When education is recognized as one of the key solutions to the elimination of child labour is true, it follows that either most smoke has serious health effects or bad health can isolate some elderly from activities and social fulfillment. It is a fact that either drake is someone who always gets away from trouble or fruit is capable of decay. Should it be the case that drake is someone who always gets away from trouble , it follows that if most smoke has serious health effects, then those that suggest bananas are a favorite for fresh eating are wrong. Provided that fruit is capable of decay, we know that if most smoke has serious health effects, then those that suggest bananas are a favorite for fresh eating are wrong. We know that either money affects our behavior or seismic noise has many different causes. Either one or both of these statements are true: fundamentalism is mostly mental, concerned primarily with orthodoxy, with having right belief, or if money affects our behavior, then education is recognized as one of the key solutions to the elimination of child labour. It is a common misconception that fundamentalism is mostly mental, concerned primarily with orthodoxy, with having right belief. Once we know the notion that 'if seismic noise has many different causes, then education is recognized as one of the key solutions to the elimination of child labour' is untrue, we also know that evolution means that organisms are slowly changing. Once we know the notion that 'if seismic noise has many different causes, then education is recognized as one of the key solutions to the elimination of child labour' is untrue, we also know that the statement that states evolution means that organisms are slowly changing is false.
|
Those that suggest bananas are a favorite for fresh eating are wrong.
|
It is fair to say that bananas are a favorite for fresh eating.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [5], then (Either [1] or [2].).
[5] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then [5]. [SC2-3]
If [7], then [5]. [SC3-3]
Therefore, [5].
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If [6], then [5].).
Not [9].
Therefore, If [6], then [5]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [7], then [5].).), then [8].
If (Not (If [7], then [5].).), then (Not [8].).
Therefore, If [7], then [5]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then (Not [0].).).
If [4], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
|
{0: 'Bananas are a favorite for fresh eating.', 1: 'Most smoke has serious health effects.', 2: 'Bad health can isolate some elderly from activities and social fulfillment.', 3: 'Drake is someone who always gets away from trouble .', 4: 'Fruit is capable of decay.', 5: 'Education is recognized as one of the key solutions to the elimination of child labour.', 6: 'Money affects our behavior.', 7: 'Seismic noise has many different causes.', 8: 'Evolution means that organisms are slowly changing.', 9: 'Fundamentalism is mostly mental, concerned primarily with orthodoxy, with having right belief.'}
| 6 |
5,848 |
['Assuming some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, we know that the claim that if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys is false.', 'It is a fact that either governors have (part) body substances or refried beans are dishs.', 'When governors have (part) body substances is true, it follows that if overweight people are likely to be more sedentary than their slimmer peers, then toilets have intimidate appearances.', "So long as refried beans are dishs, 'if overweight people are likely to be more sedentary than their slimmer peers, then toilets have intimidate appearances' is true.", 'Provided that most people kill people, we know that if toilets have intimidate appearances, then domestic violence is abuse by a spouse or an intimate partner.', 'The claim that most people kill people holds true.', 'We know that at least one of two things is true: a guide dog is a dog, or most birds bring their own nest material.', 'Provided that a guide dog is a dog, we know that if some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, then if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys.', "Whenever it is true that most birds bring their own nest material, 'if some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, then if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys' is true."]
|
Assuming some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, we know that the claim that if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys is false. It is a fact that either governors have (part) body substances or refried beans are dishs. When governors have (part) body substances is true, it follows that if overweight people are likely to be more sedentary than their slimmer peers, then toilets have intimidate appearances. So long as refried beans are dishs, 'if overweight people are likely to be more sedentary than their slimmer peers, then toilets have intimidate appearances' is true. Provided that most people kill people, we know that if toilets have intimidate appearances, then domestic violence is abuse by a spouse or an intimate partner. The claim that most people kill people holds true. We know that at least one of two things is true: a guide dog is a dog, or most birds bring their own nest material. Provided that a guide dog is a dog, we know that if some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, then if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys. Whenever it is true that most birds bring their own nest material, 'if some people mistakenly believe that overweight people are likely to be more sedentary than their slimmer peers, then if kittiwakes have (part) plasma membranes, then dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys' is true.
|
The statement 'domestic violence is abuse by a spouse or an intimate partner' is true.
|
The statement 'domestic violence is abuse by a spouse or an intimate partner' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [4]. [SC1-2]
If [4], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [1], then [4].).
If [9], then (If [1], then [4].).
Therefore, If [1], then [4]..
[SC2-2]
Modus Ponens:
If [7], then (If [4], then [0].).
[7]
Therefore, If [4], then [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (If [2], then [3].). [SC1-2]
If (Not [1].), then (Not (If [2], then [3].).).
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not [1].), then (If [2], then [3].).).
If [6], then (If (Not [1].), then (If [2], then [3].).).
Therefore, If (Not [1].), then (If [2], then [3].)..
|
{0: 'Domestic violence is abuse by a spouse or an intimate partner.', 1: 'Overweight people are likely to be more sedentary than their slimmer peers.', 2: 'Kittiwakes have (part) plasma membranes.', 3: 'Dachshunds are known for being lively and enjoy chasing other small animals, birds, and toys.', 4: 'Toilets have intimidate appearances.', 5: 'A guide dog is a dog.', 6: 'Most birds bring their own nest material.', 7: 'Most people kill people.', 8: 'Governors have (part) body substances.', 9: 'Refried beans are dishs.'}
| 6 |
5,792 |
['Once we know solar cookers work using the greenhouse effect to trap energy, we also know that the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality.', 'At least one of two things is true: female orangutans reach adulthood, or depression Feeling down or depressed is common for people with heart failure.', "So long as depression Feeling down or depressed is common for people with heart failure, 'either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate' is true.", 'Either one or both of these statements are true: if officers achieve power, then partial seizures start in one part of the brain, or awards are symbols.', 'Given that if officers achieve power, then partial seizures start in one part of the brain, it can be inferred that if either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate, then the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality.', 'When awards are symbols is true, it follows that if either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate, then the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality.', 'On the condition that the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, it is definitely the case that inheritance is the ability to create a class using, or based on, another.', 'It is not true that security is multidimensional, with military, political, economic, and environmental dimensions.', 'We know that at least one of two things is true: many signs use symbols, or office work is regarded as a profession.', 'Given that many signs use symbols, it can be inferred that if it is not true that if the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, then the claim that inheritance is the ability to create a class using, or based on, another does not correspond with reality, then security is multidimensional, with military, political, economic, and environmental dimensions.', 'One may reasonably assume that if office work is regarded as a profession, then if it is not true that if the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, then the claim that inheritance is the ability to create a class using, or based on, another does not correspond with reality, then security is multidimensional, with military, political, economic, and environmental dimensions.']
|
Once we know solar cookers work using the greenhouse effect to trap energy, we also know that the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality. At least one of two things is true: female orangutans reach adulthood, or depression Feeling down or depressed is common for people with heart failure. So long as depression Feeling down or depressed is common for people with heart failure, 'either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate' is true. Either one or both of these statements are true: if officers achieve power, then partial seizures start in one part of the brain, or awards are symbols. Given that if officers achieve power, then partial seizures start in one part of the brain, it can be inferred that if either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate, then the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality. When awards are symbols is true, it follows that if either japan is the second largest market for U.S. exports or mitotic competence is lost as cells differentiate, then the claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality. On the condition that the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, it is definitely the case that inheritance is the ability to create a class using, or based on, another. It is not true that security is multidimensional, with military, political, economic, and environmental dimensions. We know that at least one of two things is true: many signs use symbols, or office work is regarded as a profession. Given that many signs use symbols, it can be inferred that if it is not true that if the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, then the claim that inheritance is the ability to create a class using, or based on, another does not correspond with reality, then security is multidimensional, with military, political, economic, and environmental dimensions. One may reasonably assume that if office work is regarded as a profession, then if it is not true that if the claim that if female orangutans reach adulthood, then solar cookers work using the greenhouse effect to trap energy has no merit, then the claim that inheritance is the ability to create a class using, or based on, another does not correspond with reality, then security is multidimensional, with military, political, economic, and environmental dimensions.
|
The claim that flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel does not correspond with reality.
|
We know that the claim that flute isa woodwind is false.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then (Not [0].).
If (Either [2] or [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [1]. [SC2-2]
If [5], then (Either [2] or [3].).
Therefore, Either [1] or (Either [2] or [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [9].
If (Not (If [4], then [1].).), then (Not [9].). [SC2-3]
Therefore, If [4], then [1]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [4], then [1].).), then (Not [9].).).), then [10]. [SC1-4]
Not [10].
Therefore, If (Not (If [4], then [1].).), then (Not [9].)..
[SC1-4]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (Not (If (Not (If [4], then [1].).), then (Not [9].).).), then [10].).
If [12], then (If (Not (If (Not (If [4], then [1].).), then (Not [9].).).), then [10].).
Therefore, If (Not (If (Not (If [4], then [1].).), then (Not [9].).).), then [10]..
[SC3-1]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If (Either [2] or [3].), then (Not [0].).).
If [8], then (If (Either [2] or [3].), then (Not [0].).).
Therefore, If (Either [2] or [3].), then (Not [0].)..
|
{0: 'Flutes are decorative vertical grooves placed in a wood surface such as a baluster or newel.', 1: 'Solar cookers work using the greenhouse effect to trap energy.', 2: 'Japan is the second largest market for U.S. exports.', 3: 'Mitotic competence is lost as cells differentiate.', 4: 'Female orangutans reach adulthood.', 5: 'Depression Feeling down or depressed is common for people with heart failure.', 6: 'Officers achieve power.', 7: 'Partial seizures start in one part of the brain.', 8: 'Awards are symbols.', 9: 'Inheritance is the ability to create a class using, or based on, another.', 10: 'Security is multidimensional, with military, political, economic, and environmental dimensions.', 11: 'Many signs use symbols.', 12: 'Office work is regarded as a profession.'}
| 6 |
5,325 |
['Once we know a frozen custard is frozen dessert, we also know that countries produce wine.', 'Assuming we know that the claim that if countries produce wine, then a servo is a control system is false, we know that humans have an open circulatory system.', "Whenever it is true that the statement that states either some doctors recommend insulin or the statement that states humans have an open circulatory system is false is false, 'if larvae have (part) cell membranes, then dogs have personality and behavioral traits just as humans' is true.", 'Provided that international organizations can serve the cause of peace, we know that those that suggest some doctors recommend insulin are wrong.', 'It is true that international organizations can serve the cause of peace.', "Whenever it is true that the statement that states either some doctors recommend insulin or the statement that states humans have an open circulatory system is false is false, 'a silver salmon is salmon' is true.", 'Once we know a silver salmon is salmon, we also know that the statement, if larvae have (part) cell membranes, then dogs have personality and behavioral traits just as humans, does not hold.']
|
Once we know a frozen custard is frozen dessert, we also know that countries produce wine. Assuming we know that the claim that if countries produce wine, then a servo is a control system is false, we know that humans have an open circulatory system. Whenever it is true that the statement that states either some doctors recommend insulin or the statement that states humans have an open circulatory system is false is false, 'if larvae have (part) cell membranes, then dogs have personality and behavioral traits just as humans' is true. Provided that international organizations can serve the cause of peace, we know that those that suggest some doctors recommend insulin are wrong. It is true that international organizations can serve the cause of peace. Whenever it is true that the statement that states either some doctors recommend insulin or the statement that states humans have an open circulatory system is false is false, 'a silver salmon is salmon' is true. Once we know a silver salmon is salmon, we also know that the statement, if larvae have (part) cell membranes, then dogs have personality and behavioral traits just as humans, does not hold.
|
On the condition that a frozen custard is frozen dessert, it is definitely the case that a servo is a control system.
|
The claim that if a frozen custard is frozen dessert, then a servo is a control system does not correspond with reality.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If [2], then [1].).), then [3].
Not [3]. [SC2-2]
Therefore, If [2], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (Not [3].).).), then (If [6], then [7].).
If (Not (Either [4] or (Not [3].).).), then (Not (If [6], then [7].).). [SC2-4]
Therefore, Either [4] or (Not [3].)..
[SC2-4]
Hypothetical Syllogism:
If (Not (Either [4] or (Not [3].).).), then [8].
If [8], then (Not (If [6], then [7].).).
Therefore, If (Not (Either [4] or (Not [3].).).), then (Not (If [6], then [7].).)..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
|
{0: 'A frozen custard is frozen dessert.', 1: 'A servo is a control system.', 2: 'Countries produce wine.', 3: 'Humans have an open circulatory system.', 4: 'Some doctors recommend insulin.', 5: 'International organizations can serve the cause of peace.', 6: 'Larvae have (part) cell membranes.', 7: 'Dogs have personality and behavioral traits just as humans.', 8: 'A silver salmon is salmon.'}
| 6 |
5,899 |
['Given that the statement that states if most frogs follow exact steps, then eats end with yawns is false, it can be inferred that if some pepper has thick flesh, then most monkeys develop compartment stomachs.', 'When the statement that states if most frogs follow exact steps, then eats end with yawns is false is true, it follows that those that suggest if some pepper has thick flesh, then most monkeys develop compartment stomachs are wrong.', 'One may reasonably assume that if most bears depend on food, then the claim that eats end with yawns does not reflect reality.', 'One may reasonably assume that if turnips are the most commonly grown of the forage brassicas, then the claim that eats end with yawns does not reflect reality.', 'Once we know it is a common misconception that if the claim that either most bears depend on food or turnips are the most commonly grown of the forage brassicas has no merit, then baboons produce offspring, we also know that rodents are highly social animals and use many of thier senses to comunicate.', 'The claim that rodents are highly social animals and use many of thier senses to comunicate does not reflect reality.', 'We know that at least one of two things is true: most bacteria use independent mechanisms, or if the claim that either most bears depend on food or turnips are the most commonly grown of the forage brassicas has no merit, then the claim that baboons produce offspring has no merit.', 'It is not the case that most bacteria use independent mechanisms.']
|
Given that the statement that states if most frogs follow exact steps, then eats end with yawns is false, it can be inferred that if some pepper has thick flesh, then most monkeys develop compartment stomachs. When the statement that states if most frogs follow exact steps, then eats end with yawns is false is true, it follows that those that suggest if some pepper has thick flesh, then most monkeys develop compartment stomachs are wrong. One may reasonably assume that if most bears depend on food, then the claim that eats end with yawns does not reflect reality. One may reasonably assume that if turnips are the most commonly grown of the forage brassicas, then the claim that eats end with yawns does not reflect reality. Once we know it is a common misconception that if the claim that either most bears depend on food or turnips are the most commonly grown of the forage brassicas has no merit, then baboons produce offspring, we also know that rodents are highly social animals and use many of thier senses to comunicate. The claim that rodents are highly social animals and use many of thier senses to comunicate does not reflect reality. We know that at least one of two things is true: most bacteria use independent mechanisms, or if the claim that either most bears depend on food or turnips are the most commonly grown of the forage brassicas has no merit, then the claim that baboons produce offspring has no merit. It is not the case that most bacteria use independent mechanisms.
|
The claim that most frogs follow exact steps has no merit.
|
The statement 'most frogs follow exact steps' can be considered 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 (If [4], then [5].).
If (Not (If [0], then [1].).), then (Not (If [4], then [5].).).
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [6]. [SC1-3]
If (Not (Either [2] or [3].).), then (Not [6].). [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [2] or [3].).), then [6].).), then [8].
Not [8].
Therefore, If (Not (Either [2] or [3].).), then [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [2] or [3].).), then (Not [6].).).
Not [7].
Therefore, If (Not (Either [2] or [3].).), then (Not [6].)..
|
{0: 'Most frogs follow exact steps.', 1: 'Eats end with yawns.', 2: 'Most bears depend on food.', 3: 'Turnips are the most commonly grown of the forage brassicas.', 4: 'Some pepper has thick flesh.', 5: 'Most monkeys develop compartment stomachs.', 6: 'Baboons produce offspring.', 7: 'Most bacteria use independent mechanisms.', 8: 'Rodents are highly social animals and use many of thier senses to comunicate.'}
| 6 |
5,809 |
['We know that the claim that telecommunication isa instrumentality is false.', 'Many people rightly believe that television is probably the most powerful influence on public opinion.', 'Should it be the case that babies make an enzyme called lactase inside their bodies, it follows that if television is probably the most powerful influence on public opinion, then if we know that the claim that atherosclerosis can lead to heart attacks and strokes or poor circulation in the legs and feet is false, then telecommunication isa instrumentality.', "On the condition that the claim that if the notion that 'babies make an enzyme called lactase inside their bodies' is untrue, then some babies live in woodlands is false, it is definitely the case that many old people continue to have good olfactory function.", "So long as the claim that if the notion that 'babies make an enzyme called lactase inside their bodies' is untrue, then some babies live in woodlands is false, 'some people mistakenly believe that many old people continue to have good olfactory function' is true.", "Whenever it is true that some babies live in woodlands, 'gonorrhea is one of the most common STDs, with one million new cases in the U.S. each year' is true.", 'It is not true that gonorrhea is one of the most common STDs, with one million new cases in the U.S. each year.']
|
We know that the claim that telecommunication isa instrumentality is false. Many people rightly believe that television is probably the most powerful influence on public opinion. Should it be the case that babies make an enzyme called lactase inside their bodies, it follows that if television is probably the most powerful influence on public opinion, then if we know that the claim that atherosclerosis can lead to heart attacks and strokes or poor circulation in the legs and feet is false, then telecommunication isa instrumentality. On the condition that the claim that if the notion that 'babies make an enzyme called lactase inside their bodies' is untrue, then some babies live in woodlands is false, it is definitely the case that many old people continue to have good olfactory function. So long as the claim that if the notion that 'babies make an enzyme called lactase inside their bodies' is untrue, then some babies live in woodlands is false, 'some people mistakenly believe that many old people continue to have good olfactory function' is true. Whenever it is true that some babies live in woodlands, 'gonorrhea is one of the most common STDs, with one million new cases in the U.S. each year' is true. It is not true that gonorrhea is one of the most common STDs, with one million new cases in the U.S. each year.
|
The statement that states atherosclerosis can lead to heart attacks and strokes or poor circulation in the legs and feet is right.
|
Atherosclerosis is generally worse at the beginning of an artery where turbulence is greater.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (If (Not [0].), then [1].).).
[3] [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-3]
Modus Tonens:
If (Not [3].), then [4]. [SC1-4]
Not [4]. [SC2-4]
Therefore, [3].
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then [4].).), then [6].
If (Not (If (Not [3].), then [4].).), then (Not [6].).
Therefore, If (Not [3].), then [4]..
[SC2-4]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Atherosclerosis can lead to heart attacks and strokes or poor circulation in the legs and feet.', 1: 'Telecommunication isa instrumentality.', 2: 'Television is probably the most powerful influence on public opinion.', 3: 'Babies make an enzyme called lactase inside their bodies.', 4: 'Some babies live in woodlands.', 5: 'Gonorrhea is one of the most common STDs, with one million new cases in the U.S. each year.', 6: 'Many old people continue to have good olfactory function.'}
| 6 |
5,350 |
['If the statement that states either most mosses form a stalk first or plume isa stuff is false, then cuttings are the fastest , most efficient way of reproducing a plant.', 'It is not true that cuttings are the fastest , most efficient way of reproducing a plant.', 'Many people rightly believe that djibouti isa thing.', 'When it is not true that if plume isa stuff, then the statement, some studies claim garlic can attack cancer cells, does not hold is true, it follows that either domain names are unique electronic addresses that are used to identify e-mail users and websites or insulin has functions.', "The statement that 'either domain names are unique electronic addresses that are used to identify e-mail users and websites or insulin has functions' is incorrect.", 'One may reasonably assume that if if nutrition has the biggest impact on production, then fire coral are also abundant in the Bahamas, then if most mosses form a stalk first, then the statement, some studies claim garlic can attack cancer cells, does not hold.', 'Should it be the case that djibouti isa thing, it follows that some cardiac abnormalities cause death.', 'Once we know some cardiac abnormalities cause death, we also know that if nutrition has the biggest impact on production, then fire coral are also abundant in the Bahamas.']
|
If the statement that states either most mosses form a stalk first or plume isa stuff is false, then cuttings are the fastest , most efficient way of reproducing a plant. It is not true that cuttings are the fastest , most efficient way of reproducing a plant. Many people rightly believe that djibouti isa thing. When it is not true that if plume isa stuff, then the statement, some studies claim garlic can attack cancer cells, does not hold is true, it follows that either domain names are unique electronic addresses that are used to identify e-mail users and websites or insulin has functions. The statement that 'either domain names are unique electronic addresses that are used to identify e-mail users and websites or insulin has functions' is incorrect. One may reasonably assume that if if nutrition has the biggest impact on production, then fire coral are also abundant in the Bahamas, then if most mosses form a stalk first, then the statement, some studies claim garlic can attack cancer cells, does not hold. Should it be the case that djibouti isa thing, it follows that some cardiac abnormalities cause death. Once we know some cardiac abnormalities cause death, we also know that if nutrition has the biggest impact on production, then fire coral are also abundant in the Bahamas.
|
The statement, some studies claim garlic can attack cancer cells, does not hold.
|
The statement, some studies claim garlic can attack cancer cells, does not hold.
|
TRUE
|
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 [6].
Not [6].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [5], then (If [1], then (Not [0].).). [SC1-2]
[5]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [5], then (If [7], then [8].). [SC1-3]
If (If [7], then [8].), then (If [1], then (Not [0].).).
Therefore, If [5], then (If [1], then (Not [0].).)..
[SC1-3]
Hypothetical Syllogism:
If [5], then [9].
If [9], then (If [7], then [8].).
Therefore, If [5], then (If [7], then [8].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then (Either [3] or [4].).
Not (Either [3] or [4].).
Therefore, If [2], then (Not [0].)..
|
{0: 'Some studies claim garlic can attack cancer cells.', 1: 'Most mosses form a stalk first.', 2: 'Plume isa stuff.', 3: 'Domain names are unique electronic addresses that are used to identify e-mail users and websites.', 4: 'Insulin has functions.', 5: 'Djibouti isa thing.', 6: 'Cuttings are the fastest , most efficient way of reproducing a plant.', 7: 'Nutrition has the biggest impact on production.', 8: 'Fire coral are also abundant in the Bahamas.', 9: 'Some cardiac abnormalities cause death.'}
| 6 |
5,363 |
['At least one of two things is true: some ducks feed in sea, or vertebrates never have more than two pairs of limbs.', "Whenever it is true that the claim that if some ducks feed in sea, then cicadas are harmless, though they're big enough to startle humans has no merit, 'cripple Creek is one of three casino gaming towns in the state' is true.", "Once we know walruses communicate through sound, sight, touch, and smell, we also know that the notion that 'cripple Creek is one of three casino gaming towns in the state' is untrue.", 'It is the case that walruses communicate through sound, sight, touch, and smell.', "Once we know it is a common misconception that if those that suggest if vertebrates never have more than two pairs of limbs, then cicadas are harmless, though they're big enough to startle humans are wrong, then sexual harassment is more than just unwanted touching, we also know that either neck storks have diets or most people suffer from anxiety.", "Whenever it is true that it is a common misconception that if those that suggest if vertebrates never have more than two pairs of limbs, then cicadas are harmless, though they're big enough to startle humans are wrong, then sexual harassment is more than just unwanted touching, 'it is not true that either neck storks have diets or most people suffer from anxiety' is true.", 'We know that either movie stars are located in movies or the claim that sexual harassment is more than just unwanted touching is false.', "The notion that 'movie stars are located in movies' is untrue."]
|
At least one of two things is true: some ducks feed in sea, or vertebrates never have more than two pairs of limbs. Whenever it is true that the claim that if some ducks feed in sea, then cicadas are harmless, though they're big enough to startle humans has no merit, 'cripple Creek is one of three casino gaming towns in the state' is true. Once we know walruses communicate through sound, sight, touch, and smell, we also know that the notion that 'cripple Creek is one of three casino gaming towns in the state' is untrue. It is the case that walruses communicate through sound, sight, touch, and smell. Once we know it is a common misconception that if those that suggest if vertebrates never have more than two pairs of limbs, then cicadas are harmless, though they're big enough to startle humans are wrong, then sexual harassment is more than just unwanted touching, we also know that either neck storks have diets or most people suffer from anxiety. Whenever it is true that it is a common misconception that if those that suggest if vertebrates never have more than two pairs of limbs, then cicadas are harmless, though they're big enough to startle humans are wrong, then sexual harassment is more than just unwanted touching, 'it is not true that either neck storks have diets or most people suffer from anxiety' is true. We know that either movie stars are located in movies or the claim that sexual harassment is more than just unwanted touching is false. The notion that 'movie stars are located in movies' is untrue.
|
cicadas are harmless, though they're big enough to startle humans.
|
Cicadas are harmless, though they're big enough to startle humans.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [4].
Not [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [0].).), then [3].).), then (Either [6] or [7].).
If (Not (If (Not (If [2], then [0].).), then [3].).), then (Not (Either [6] or [7].).).
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].).
Not [8].
Therefore, Not [3]..
|
{0: "Cicadas are harmless, though they're big enough to startle humans.", 1: 'Some ducks feed in sea.', 2: 'Vertebrates never have more than two pairs of limbs.', 3: 'Sexual harassment is more than just unwanted touching.', 4: 'Cripple Creek is one of three casino gaming towns in the state.', 5: 'Walruses communicate through sound, sight, touch, and smell.', 6: 'Neck storks have diets.', 7: 'Most people suffer from anxiety.', 8: 'Movie stars are located in movies.'}
| 6 |
5,017 |
['On the condition that acid rains kills fish in lakes and streams by increasing the acidity of water, it is definitely the case that religion begins the moment faith expresses itself in human activity.', "The statement 'local anesthesia provides numbness to a small area limited to where local anesthetic is injected' can be considered false.", 'One may reasonably assume that if it is not true that either either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility or acid rains kills fish in lakes and streams by increasing the acidity of water, then wolves range in color, despite their common name, from almost white to black.', "So long as it is not true that either either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility or acid rains kills fish in lakes and streams by increasing the acidity of water, 'some people mistakenly believe that wolves range in color, despite their common name, from almost white to black' is true.", "Whenever it is true that those that suggest if either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility, then bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong, 'potassium dichromate is used widely as a bleach for photographic development' is true.", 'Once we know those that suggest if either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility, then bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong, we also know that some people mistakenly believe that potassium dichromate is used widely as a bleach for photographic development.', 'At least one of two things is true: police officers arrive on scenes, or either local anesthesia provides numbness to a small area limited to where local anesthetic is injected or those that suggest bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong.', 'The claim that police officers arrive on scenes has no merit.']
|
On the condition that acid rains kills fish in lakes and streams by increasing the acidity of water, it is definitely the case that religion begins the moment faith expresses itself in human activity. The statement 'local anesthesia provides numbness to a small area limited to where local anesthetic is injected' can be considered false. One may reasonably assume that if it is not true that either either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility or acid rains kills fish in lakes and streams by increasing the acidity of water, then wolves range in color, despite their common name, from almost white to black. So long as it is not true that either either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility or acid rains kills fish in lakes and streams by increasing the acidity of water, 'some people mistakenly believe that wolves range in color, despite their common name, from almost white to black' is true. Whenever it is true that those that suggest if either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility, then bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong, 'potassium dichromate is used widely as a bleach for photographic development' is true. Once we know those that suggest if either some insects are pollution tolerant or organic growers feed the soil, which enhances soil life and increases long-term fertility, then bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong, we also know that some people mistakenly believe that potassium dichromate is used widely as a bleach for photographic development. At least one of two things is true: police officers arrive on scenes, or either local anesthesia provides numbness to a small area limited to where local anesthetic is injected or those that suggest bobcats are mainly nocturnal, but they sometimes venture out in the daytime are wrong. The claim that police officers arrive on scenes has no merit.
|
The idea that religion begins the moment faith expresses itself in human activity is true.
|
Religions are different, and multifarious.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then [1]. [SC2-2]
If [4], then [0].
Therefore, Either [1] or [0]..
[SC1-2]
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]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then [1].).), then [6].
If (Not (If (Either [2] or [3].), then [1].).), then (Not [6].).
Therefore, If (Either [2] or [3].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [1].). [SC1-2]
Not [5].
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either [5] or (Not [1].).).
Not [7].
Therefore, Either [5] or (Not [1].)..
|
{0: 'Religion begins the moment faith expresses itself in human activity.', 1: 'Bobcats are mainly nocturnal, but they sometimes venture out in the daytime.', 2: 'Some insects are pollution tolerant.', 3: 'Organic growers feed the soil, which enhances soil life and increases long-term fertility.', 4: 'Acid rains kills fish in lakes and streams by increasing the acidity of water.', 5: 'Local anesthesia provides numbness to a small area limited to where local anesthetic is injected.', 6: 'Potassium dichromate is used widely as a bleach for photographic development.', 7: 'Police officers arrive on scenes.', 8: 'Wolves range in color, despite their common name, from almost white to black.'}
| 6 |
5,186 |
['Given that feathers lose insulate ability, it can be inferred that cats have round heads.', "Whenever it is true that anarchism is a movement for a radically democratic and libertarian society, 'the claim that cats have round heads has no merit' is true.", 'It is a fact that either some cottontails have life expectancy or clinics have policy.', 'Provided that the statement that states if healthy bodies build more muscle, because they can keep at it in the long term, then the claim that cats have round heads has no merit is false, we know that alcohol consumption can increase the chance of heat stroke or dehydration on a hot day.', 'When the statement that states if healthy bodies build more muscle, because they can keep at it in the long term, then the claim that cats have round heads has no merit is false is true, it follows that the claim that alcohol consumption can increase the chance of heat stroke or dehydration on a hot day is false.', 'Provided that some cottontails have life expectancy, we know that if histamine is the most potent stimulus for HCl secretion, then customers buy products.', 'Given that if histamine is the most potent stimulus for HCl secretion, then customers buy products, it can be inferred that either anarchism is a movement for a radically democratic and libertarian society or healthy bodies build more muscle, because they can keep at it in the long term.', 'Provided that white tea is tea in which buds, rather than leaves, predominate, we know that if clinics have policy, then either anarchism is a movement for a radically democratic and libertarian society or healthy bodies build more muscle, because they can keep at it in the long term.', 'The claim that white tea is tea in which buds, rather than leaves, predominate is true.']
|
Given that feathers lose insulate ability, it can be inferred that cats have round heads. Whenever it is true that anarchism is a movement for a radically democratic and libertarian society, 'the claim that cats have round heads has no merit' is true. It is a fact that either some cottontails have life expectancy or clinics have policy. Provided that the statement that states if healthy bodies build more muscle, because they can keep at it in the long term, then the claim that cats have round heads has no merit is false, we know that alcohol consumption can increase the chance of heat stroke or dehydration on a hot day. When the statement that states if healthy bodies build more muscle, because they can keep at it in the long term, then the claim that cats have round heads has no merit is false is true, it follows that the claim that alcohol consumption can increase the chance of heat stroke or dehydration on a hot day is false. Provided that some cottontails have life expectancy, we know that if histamine is the most potent stimulus for HCl secretion, then customers buy products. Given that if histamine is the most potent stimulus for HCl secretion, then customers buy products, it can be inferred that either anarchism is a movement for a radically democratic and libertarian society or healthy bodies build more muscle, because they can keep at it in the long term. Provided that white tea is tea in which buds, rather than leaves, predominate, we know that if clinics have policy, then either anarchism is a movement for a radically democratic and libertarian society or healthy bodies build more muscle, because they can keep at it in the long term. The claim that white tea is tea in which buds, rather than leaves, predominate is true.
|
The statement that 'feathers lose insulate ability' is incorrect.
|
The statement that 'feathers lose insulate ability' is incorrect.
|
TRUE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [2] or [3].). [SC2-3]
If [6], then (Either [2] or [3].). [SC3-3]
Therefore, Either [2] or [3]..
[SC2-3]
Hypothetical Syllogism:
If [5], then (If [8], then [9].).
If (If [8], then [9].), then (Either [2] or [3].).
Therefore, If [5], then (Either [2] or [3].)..
[SC3-3]
Modus Ponens:
If [7], then (If [6], then (Either [2] or [3].).).
[7]
Therefore, If [6], then (Either [2] or [3].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [1].).).), then [4].
If (Not (If [3], then (Not [1].).).), then (Not [4].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Feathers lose insulate ability.', 1: 'Cats have round heads.', 2: 'Anarchism is a movement for a radically democratic and libertarian society.', 3: 'Healthy bodies build more muscle, because they can keep at it in the long term.', 4: 'Alcohol consumption can increase the chance of heat stroke or dehydration on a hot day.', 5: 'Some cottontails have life expectancy.', 6: 'Clinics have policy.', 7: 'White tea is tea in which buds, rather than leaves, predominate.', 8: 'Histamine is the most potent stimulus for HCl secretion.', 9: 'Customers buy products.'}
| 6 |
5,402 |
['Provided that hospitalizations are an opportunity to provide preventive care, we know that either researchers look at activity patterns or most primates learn eat behavior.', "The statement 'hospitalizations are an opportunity to provide preventive care' is true.", 'On the condition that food helps symptoms, it is definitely the case that it is not the case that researchers look at activity patterns.', 'Once we know either breeding are socialization or collimation is adjustment, we also know that it is not the case that researchers look at activity patterns.', 'We know that at least one of two things is true: if some animals use camouflage to hide from their enemies, then remainders are parts, or if mumps can cause infertility in a small fraction of men, then sealants are clear plastic fluids that are painted onto the tooth.', 'We know that at least one of two things is true: quakes generate tsunamis, or squash isa vegetable.', 'Assuming quakes generate tsunamis, we know that if if some animals use camouflage to hide from their enemies, then remainders are parts, then food helps symptoms.', 'Assuming squash isa vegetable, we know that if if some animals use camouflage to hide from their enemies, then remainders are parts, then food helps symptoms.', "Whenever it is true that if mumps can cause infertility in a small fraction of men, then sealants are clear plastic fluids that are painted onto the tooth, 'either most juniper grows in woodlands or some vertebrates are located in caves' is true.", 'If either most juniper grows in woodlands or some vertebrates are located in caves, then either breeding are socialization or collimation is adjustment.']
|
Provided that hospitalizations are an opportunity to provide preventive care, we know that either researchers look at activity patterns or most primates learn eat behavior. The statement 'hospitalizations are an opportunity to provide preventive care' is true. On the condition that food helps symptoms, it is definitely the case that it is not the case that researchers look at activity patterns. Once we know either breeding are socialization or collimation is adjustment, we also know that it is not the case that researchers look at activity patterns. We know that at least one of two things is true: if some animals use camouflage to hide from their enemies, then remainders are parts, or if mumps can cause infertility in a small fraction of men, then sealants are clear plastic fluids that are painted onto the tooth. We know that at least one of two things is true: quakes generate tsunamis, or squash isa vegetable. Assuming quakes generate tsunamis, we know that if if some animals use camouflage to hide from their enemies, then remainders are parts, then food helps symptoms. Assuming squash isa vegetable, we know that if if some animals use camouflage to hide from their enemies, then remainders are parts, then food helps symptoms. Whenever it is true that if mumps can cause infertility in a small fraction of men, then sealants are clear plastic fluids that are painted onto the tooth, 'either most juniper grows in woodlands or some vertebrates are located in caves' is true. If either most juniper grows in woodlands or some vertebrates are located in caves, then either breeding are socialization or collimation is adjustment.
|
The claim that most primates learn eat behavior holds true.
|
It is not the case that most primates learn eat behavior.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].).
[2]
Therefore, Either [1] or [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (Not [1].).
If (Either [4] or [5].), then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either (If [6], then [7].) or (If [8], then [9].).
If (If [6], then [7].), then [3]. [SC2-3]
If (If [8], then [9].), then (Either [4] or [5].). [SC3-3]
Therefore, Either [3] or (Either [4] or [5].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (If [6], then [7].), then [3].).
If [11], then (If (If [6], then [7].), then [3].).
Therefore, If (If [6], then [7].), then [3]..
[SC3-3]
Hypothetical Syllogism:
If (If [8], then [9].), then (Either [12] or [13].).
If (Either [12] or [13].), then (Either [4] or [5].).
Therefore, If (If [8], then [9].), then (Either [4] or [5].)..
|
{0: 'Most primates learn eat behavior.', 1: 'Researchers look at activity patterns.', 2: 'Hospitalizations are an opportunity to provide preventive care.', 3: 'Food helps symptoms.', 4: 'Breeding are socialization.', 5: 'Collimation is adjustment.', 6: 'Some animals use camouflage to hide from their enemies.', 7: 'Remainders are parts.', 8: 'Mumps can cause infertility in a small fraction of men.', 9: 'Sealants are clear plastic fluids that are painted onto the tooth.', 10: 'Quakes generate tsunamis.', 11: 'Squash isa vegetable.', 12: 'Most juniper grows in woodlands.', 13: 'Some vertebrates are located in caves.'}
| 6 |
5,338 |
['When the statement that states platelet counts are blood tests is false is true, it follows that puffballs are the member of fungus in the division Basidiomycota.', 'It is a common misconception that if locker rooms are used for dresses, then yellow perch are economically important in terms of a food source and recreation.', 'On the condition that students to apply scientific methods, it is definitely the case that if the statement that states platelet counts are blood tests is false, then we know that the claim that puffballs are the member of fungus in the division Basidiomycota is false.', 'If the claim that either if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development or students to apply scientific methods does not correspond with reality, then healthy diets include fruit.', 'Given that the claim that either if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development or students to apply scientific methods does not correspond with reality, it can be inferred that we know that the claim that healthy diets include fruit is false.', 'On the condition that some polysaccharides stimulate immune system activities, it is definitely the case that small business is big business.', "On the condition that the statement that 'if if some polysaccharides stimulate immune system activities, then small business is big business, then if if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development, then if locker rooms are used for dresses, then yellow perch are economically important in terms of a food source and recreation' is incorrect, it is definitely the case that if golden jackals use a wide inventory of howls to locate one another, then trilobites are useful in determining the relative age of some sedimentary rocks.", 'The statement, if golden jackals use a wide inventory of howls to locate one another, then trilobites are useful in determining the relative age of some sedimentary rocks, does not hold.']
|
When the statement that states platelet counts are blood tests is false is true, it follows that puffballs are the member of fungus in the division Basidiomycota. It is a common misconception that if locker rooms are used for dresses, then yellow perch are economically important in terms of a food source and recreation. On the condition that students to apply scientific methods, it is definitely the case that if the statement that states platelet counts are blood tests is false, then we know that the claim that puffballs are the member of fungus in the division Basidiomycota is false. If the claim that either if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development or students to apply scientific methods does not correspond with reality, then healthy diets include fruit. Given that the claim that either if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development or students to apply scientific methods does not correspond with reality, it can be inferred that we know that the claim that healthy diets include fruit is false. On the condition that some polysaccharides stimulate immune system activities, it is definitely the case that small business is big business. On the condition that the statement that 'if if some polysaccharides stimulate immune system activities, then small business is big business, then if if most air flows out of lungs, then computer engineers work with the hardware and software aspects of systems design and development, then if locker rooms are used for dresses, then yellow perch are economically important in terms of a food source and recreation' is incorrect, it is definitely the case that if golden jackals use a wide inventory of howls to locate one another, then trilobites are useful in determining the relative age of some sedimentary rocks. The statement, if golden jackals use a wide inventory of howls to locate one another, then trilobites are useful in determining the relative age of some sedimentary rocks, does not hold.
|
Many people rightly believe that platelet counts are blood tests.
|
The claim that platelet counts are blood tests has no merit.
|
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].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either (If [4], then [5].) or [6]. [SC1-3]
If (If [4], then [5].), then (If [2], then [3].). [SC2-3]
If [6], then (If (Not [0].), then (Not [1].).).
Therefore, Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [4], then [5].) or [6].).), then [7].
If (Not (Either (If [4], then [5].) or [6].).), then (Not [7].).
Therefore, Either (If [4], then [5].) or [6]..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (If (If [4], then [5].), then (If [2], then [3].).). [SC1-4]
If [8], then [9].
Therefore, If (If [4], then [5].), then (If [2], then [3].)..
[SC1-4]
Modus Tonens:
If (Not (If (If [8], then [9].), then (If (If [4], then [5].), then (If [2], then [3].).).).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, If (If [8], then [9].), then (If (If [4], then [5].), then (If [2], then [3].).)..
|
{0: 'Platelet counts are blood tests.', 1: 'Puffballs are the member of fungus in the division Basidiomycota.', 2: 'Locker rooms are used for dresses.', 3: 'Yellow perch are economically important in terms of a food source and recreation.', 4: 'Most air flows out of lungs.', 5: 'Computer engineers work with the hardware and software aspects of systems design and development.', 6: 'Students to apply scientific methods.', 7: 'Healthy diets include fruit.', 8: 'Some polysaccharides stimulate immune system activities.', 9: 'Small business is big business.', 10: 'Golden jackals use a wide inventory of howls to locate one another.', 11: 'Trilobites are useful in determining the relative age of some sedimentary rocks.'}
| 6 |
5,206 |
['Should it be the case that the statement, yeast occurs primarily in women because the vaginal area is a warm moist environment, does not hold, it follows that the claim that dark foods require more food coloring and tend to look moldy when colored does not reflect reality.', 'One may reasonably assume that if return loss refers to how far below the incident light the reflected light is, then either birds require seeds or if the statement, yeast occurs primarily in women because the vaginal area is a warm moist environment, does not hold, then dark foods require more food coloring and tend to look moldy when colored.', 'It is rational to agree that return loss refers to how far below the incident light the reflected light is.', 'Some people mistakenly believe that scorpions come in a variety of colors - from tan to light brown to black.', 'Provided that information technology is the key enabling technology of our age, we know that scorpions come in a variety of colors - from tan to light brown to black.', 'When it is a common misconception that if birds require seeds, then information technology is the key enabling technology of our age is true, it follows that tamarins have (part) piluses.', 'The claim that tamarins have (part) piluses is false.']
|
Should it be the case that the statement, yeast occurs primarily in women because the vaginal area is a warm moist environment, does not hold, it follows that the claim that dark foods require more food coloring and tend to look moldy when colored does not reflect reality. One may reasonably assume that if return loss refers to how far below the incident light the reflected light is, then either birds require seeds or if the statement, yeast occurs primarily in women because the vaginal area is a warm moist environment, does not hold, then dark foods require more food coloring and tend to look moldy when colored. It is rational to agree that return loss refers to how far below the incident light the reflected light is. Some people mistakenly believe that scorpions come in a variety of colors - from tan to light brown to black. Provided that information technology is the key enabling technology of our age, we know that scorpions come in a variety of colors - from tan to light brown to black. When it is a common misconception that if birds require seeds, then information technology is the key enabling technology of our age is true, it follows that tamarins have (part) piluses. The claim that tamarins have (part) piluses is false.
|
It is rational to agree that yeast occurs primarily in women because the vaginal area is a warm moist environment.
|
It is rational to agree that yeast occurs primarily in women because the vaginal area is a warm moist environment.
|
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]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or (If (Not [0].), then [1].).).
[3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-2]
Modus Tonens:
If [2], then [4]. [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [5]. [SC1-4]
If [5], then [4].
Therefore, If [2], then [4]..
[SC1-4]
Modus Tonens:
If (Not (If [2], then [5].).), then [6].
Not [6].
Therefore, If [2], then [5]..
|
{0: 'Yeast occurs primarily in women because the vaginal area is a warm moist environment.', 1: 'Dark foods require more food coloring and tend to look moldy when colored.', 2: 'Birds require seeds.', 3: 'Return loss refers to how far below the incident light the reflected light is.', 4: 'Scorpions come in a variety of colors - from tan to light brown to black.', 5: 'Information technology is the key enabling technology of our age.', 6: 'Tamarins have (part) piluses.'}
| 6 |
5,963 |
['It is not true that either fat burners are herbal supplements or pollutants include chemicals.', 'There is good reason to believe that either either some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane or timber isa artifact or most mongolian gerbils occupy regions.', "Should it be the case that most mongolian gerbils occupy regions, it follows that the statement 'smokeless tobacco causes cancer of the mouth and throat' can be considered false.", 'Should it be the case that it is not true that either smokeless tobacco causes cancer of the mouth and throat or word problems connect math concepts to the real world, it follows that skunks are notorious for their anal scent glands, which they can use as a defensive weapon.', "Either geothermals systems use the grounds temperature to heat and cool homes and businesses or if either some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane or timber isa artifact, then the statement 'smokeless tobacco causes cancer of the mouth and throat' can be considered false.", 'The claim that geothermals systems use the grounds temperature to heat and cool homes and businesses has no merit.', 'We know that at least one of two things is true: heat resistance protects the resin from exposure to excessive temperatures, or several families combine adopted children and children born from the mother.', 'Should it be the case that heat resistance protects the resin from exposure to excessive temperatures, it follows that if skunks are notorious for their anal scent glands, which they can use as a defensive weapon, then either fat burners are herbal supplements or pollutants include chemicals.', 'Given that several families combine adopted children and children born from the mother, it can be inferred that if skunks are notorious for their anal scent glands, which they can use as a defensive weapon, then either fat burners are herbal supplements or pollutants include chemicals.']
|
It is not true that either fat burners are herbal supplements or pollutants include chemicals. There is good reason to believe that either either some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane or timber isa artifact or most mongolian gerbils occupy regions. Should it be the case that most mongolian gerbils occupy regions, it follows that the statement 'smokeless tobacco causes cancer of the mouth and throat' can be considered false. Should it be the case that it is not true that either smokeless tobacco causes cancer of the mouth and throat or word problems connect math concepts to the real world, it follows that skunks are notorious for their anal scent glands, which they can use as a defensive weapon. Either geothermals systems use the grounds temperature to heat and cool homes and businesses or if either some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane or timber isa artifact, then the statement 'smokeless tobacco causes cancer of the mouth and throat' can be considered false. The claim that geothermals systems use the grounds temperature to heat and cool homes and businesses has no merit. We know that at least one of two things is true: heat resistance protects the resin from exposure to excessive temperatures, or several families combine adopted children and children born from the mother. Should it be the case that heat resistance protects the resin from exposure to excessive temperatures, it follows that if skunks are notorious for their anal scent glands, which they can use as a defensive weapon, then either fat burners are herbal supplements or pollutants include chemicals. Given that several families combine adopted children and children born from the mother, it can be inferred that if skunks are notorious for their anal scent glands, which they can use as a defensive weapon, then either fat burners are herbal supplements or pollutants include chemicals.
|
It is a simple truth that word problems connect math concepts to the real world.
|
It is a simple truth that word problems connect math concepts to the real world.
|
TRUE
|
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 (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Either [1] or [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or [0].).), then [7].
If [7], then (Either [2] or [3].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [7], then (Either [2] or [3].).).
If [10], then (If [7], then (Either [2] or [3].).).
Therefore, If [7], then (Either [2] or [3].)..
[SC2-1]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (Not [1].). [SC2-2]
If [6], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If (Either [4] or [5].), then (Not [1].).).
Not [8].
Therefore, If (Either [4] or [5].), then (Not [1].)..
|
{0: 'Word problems connect math concepts to the real world.', 1: 'Smokeless tobacco causes cancer of the mouth and throat.', 2: 'Fat burners are herbal supplements.', 3: 'Pollutants include chemicals.', 4: 'Some simple machines are a wheel, a pulley, a lever, a screw, and an inclined plane.', 5: 'Timber isa artifact.', 6: 'Most mongolian gerbils occupy regions.', 7: 'Skunks are notorious for their anal scent glands, which they can use as a defensive weapon.', 8: 'Geothermals systems use the grounds temperature to heat and cool homes and businesses.', 9: 'Heat resistance protects the resin from exposure to excessive temperatures.', 10: 'Several families combine adopted children and children born from the mother.'}
| 6 |
5,345 |
['Provided that it is a common misconception that some water has turbidity values, we know that inference is the process of creating new information based on a set of underlying facts.', 'It is a fact that either eat kiwi fruit has health benefits or either respiration also carries waste carbon dioxide away from the cells or sailplanes can keep flying for hours and hours and can sometimes even outclimb powered planes.', 'We know that the claim that eat kiwi fruit has health benefits is false.', 'Should it be the case that either most hormones help lower cortisol or a fetish is devotion, it follows that either either monocytes are the second type of agranulocyte, and the largest of the circulating formed elements or large beakers fill with water or if either respiration also carries waste carbon dioxide away from the cells or sailplanes can keep flying for hours and hours and can sometimes even outclimb powered planes, then if it is a common misconception that some water has turbidity values, then some people mistakenly believe that inference is the process of creating new information based on a set of underlying facts.', 'It is rational to believe that either most hormones help lower cortisol or a fetish is devotion.', "Whenever it is true that either monocytes are the second type of agranulocyte, and the largest of the circulating formed elements or large beakers fill with water, 'milkweeds have (part) cytoplasm' is true.", 'The claim that milkweeds have (part) cytoplasm does not reflect reality.']
|
Provided that it is a common misconception that some water has turbidity values, we know that inference is the process of creating new information based on a set of underlying facts. It is a fact that either eat kiwi fruit has health benefits or either respiration also carries waste carbon dioxide away from the cells or sailplanes can keep flying for hours and hours and can sometimes even outclimb powered planes. We know that the claim that eat kiwi fruit has health benefits is false. Should it be the case that either most hormones help lower cortisol or a fetish is devotion, it follows that either either monocytes are the second type of agranulocyte, and the largest of the circulating formed elements or large beakers fill with water or if either respiration also carries waste carbon dioxide away from the cells or sailplanes can keep flying for hours and hours and can sometimes even outclimb powered planes, then if it is a common misconception that some water has turbidity values, then some people mistakenly believe that inference is the process of creating new information based on a set of underlying facts. It is rational to believe that either most hormones help lower cortisol or a fetish is devotion. Whenever it is true that either monocytes are the second type of agranulocyte, and the largest of the circulating formed elements or large beakers fill with water, 'milkweeds have (part) cytoplasm' is true. The claim that milkweeds have (part) cytoplasm does not reflect reality.
|
It is a simple truth that some water has turbidity values.
|
Some people mistakenly believe that some water has turbidity values.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (Either (Either [5] or [6].) or (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).).
Either [7] or [8].
Therefore, Either (Either [5] or [6].) or (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).)..
[SC2-3]
Modus Tonens:
If (Either [5] or [6].), then [9].
Not [9].
Therefore, Not (Either [5] or [6].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].).
Not [4].
Therefore, Either [2] or [3]..
|
{0: 'Some water has turbidity values.', 1: 'Inference is the process of creating new information based on a set of underlying facts.', 2: 'Respiration also carries waste carbon dioxide away from the cells.', 3: 'Sailplanes can keep flying for hours and hours and can sometimes even outclimb powered planes.', 4: 'Eat kiwi fruit has health benefits.', 5: 'Monocytes are the second type of agranulocyte, and the largest of the circulating formed elements.', 6: 'Large beakers fill with water.', 7: 'Most hormones help lower cortisol.', 8: 'A fetish is devotion.', 9: 'Milkweeds have (part) cytoplasm.'}
| 6 |
5,313 |
["One may reasonably assume that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then it is not the case that food security is viewed strongly by all countries.", "When the claim that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then food security is viewed strongly by all countries does not reflect reality is true, it follows that abnormal lung tends to lose volume, unless it is about to cavitate.", "One may reasonably assume that if the claim that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then food security is viewed strongly by all countries does not reflect reality, then the claim that abnormal lung tends to lose volume, unless it is about to cavitate is false.", "Provided that the statement 'if the statement 'some animals have chemical sensitivity' can be considered false, then hunts are searchs' can be considered false, we know that if some infants seem to tolerate significant trauma from birth, without ill effect, then today there are hundreds of thousands of libertarians around the world.", "The statement that 'if some infants seem to tolerate significant trauma from birth, without ill effect, then today there are hundreds of thousands of libertarians around the world' is incorrect.", 'At least one of two things is true: either anal cancer is cancer or productivity is ratios, or if hunts are searchs, then the claim that science is an ongoing process that is a self-correcting way of knowing does not reflect reality.', 'Some people mistakenly believe that either anal cancer is cancer or productivity is ratios.']
|
One may reasonably assume that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then it is not the case that food security is viewed strongly by all countries. When the claim that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then food security is viewed strongly by all countries does not reflect reality is true, it follows that abnormal lung tends to lose volume, unless it is about to cavitate. One may reasonably assume that if the claim that if the statement that 'if the statement 'some animals have chemical sensitivity' can be considered false, then science is an ongoing process that is a self-correcting way of knowing' is incorrect, then food security is viewed strongly by all countries does not reflect reality, then the claim that abnormal lung tends to lose volume, unless it is about to cavitate is false. Provided that the statement 'if the statement 'some animals have chemical sensitivity' can be considered false, then hunts are searchs' can be considered false, we know that if some infants seem to tolerate significant trauma from birth, without ill effect, then today there are hundreds of thousands of libertarians around the world. The statement that 'if some infants seem to tolerate significant trauma from birth, without ill effect, then today there are hundreds of thousands of libertarians around the world' is incorrect. At least one of two things is true: either anal cancer is cancer or productivity is ratios, or if hunts are searchs, then the claim that science is an ongoing process that is a self-correcting way of knowing does not reflect reality. Some people mistakenly believe that either anal cancer is cancer or productivity is ratios.
|
It is the case that some animals have chemical sensitivity.
|
Some people mistakenly believe that some animals have chemical sensitivity.
|
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 [3]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [3].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [4].
If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then (Not [4].).
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [2].).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If (Not [0].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [2], then (Not [1].).).
Not (Either [5] or [6].).
Therefore, If [2], then (Not [1].)..
|
{0: 'Some animals have chemical sensitivity.', 1: 'Science is an ongoing process that is a self-correcting way of knowing.', 2: 'Hunts are searchs.', 3: 'Food security is viewed strongly by all countries.', 4: 'Abnormal lung tends to lose volume, unless it is about to cavitate.', 5: 'Anal cancer is cancer.', 6: 'Productivity is ratios.', 7: 'Some infants seem to tolerate significant trauma from birth, without ill effect.', 8: 'Today there are hundreds of thousands of libertarians around the world.'}
| 6 |
5,242 |
['Provided that the claim that either magnets can be as small as the eye of a needle, or as large as a car or bodies are fueled by calories does not reflect reality, we know that rabies is almost always fatal.', 'When cells work together because they want to is true, it follows that some people mistakenly believe that magnets can be as small as the eye of a needle, or as large as a car.', 'Given that the claim that either magnets can be as small as the eye of a needle, or as large as a car or bodies are fueled by calories does not reflect reality, it can be inferred that bacteria grow more quickly on foods held at the wrong temperature.', 'When bacteria grow more quickly on foods held at the wrong temperature is true, it follows that the claim that rabies is almost always fatal does not reflect reality.', 'It is a common misconception that air conditioners use considerably more energy than ceiling fans.', "One may reasonably assume that if the statement that 'either air conditioners use considerably more energy than ceiling fans or cells work together because they want to' is incorrect, then regions contain atoms.", "If the statement that 'either air conditioners use considerably more energy than ceiling fans or cells work together because they want to' is incorrect, then the claim that regions contain atoms does not reflect reality."]
|
Provided that the claim that either magnets can be as small as the eye of a needle, or as large as a car or bodies are fueled by calories does not reflect reality, we know that rabies is almost always fatal. When cells work together because they want to is true, it follows that some people mistakenly believe that magnets can be as small as the eye of a needle, or as large as a car. Given that the claim that either magnets can be as small as the eye of a needle, or as large as a car or bodies are fueled by calories does not reflect reality, it can be inferred that bacteria grow more quickly on foods held at the wrong temperature. When bacteria grow more quickly on foods held at the wrong temperature is true, it follows that the claim that rabies is almost always fatal does not reflect reality. It is a common misconception that air conditioners use considerably more energy than ceiling fans. One may reasonably assume that if the statement that 'either air conditioners use considerably more energy than ceiling fans or cells work together because they want to' is incorrect, then regions contain atoms. If the statement that 'either air conditioners use considerably more energy than ceiling fans or cells work together because they want to' is incorrect, then the claim that regions contain atoms does not reflect reality.
|
It is the case that bodies are fueled by calories.
|
It is the case that bodies are fueled by calories.
|
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 [3].
If (Not (Either [1] or [0].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Hypothetical Syllogism:
If (Not (Either [1] or [0].).), then [4].
If [4], then (Not [3].).
Therefore, If (Not (Either [1] or [0].).), then (Not [3].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [2]. [SC1-3]
Not [5].
Therefore, [2].
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or [2].).), then [6].
If (Not (Either [5] or [2].).), then (Not [6].).
Therefore, Either [5] or [2]..
|
{0: 'Bodies are fueled by calories.', 1: 'Magnets can be as small as the eye of a needle, or as large as a car.', 2: 'Cells work together because they want to.', 3: 'Rabies is almost always fatal.', 4: 'Bacteria grow more quickly on foods held at the wrong temperature.', 5: 'Air conditioners use considerably more energy than ceiling fans.', 6: 'Regions contain atoms.'}
| 6 |
5,913 |
["Whenever it is true that exercise slows down the release of stress hormones, 'motmots are vocal at dawn' is true.", "When if fall leafs are located in streets, then science is the search for truth and knowledge is true, it follows that the statement 'motmots are vocal at dawn' can be considered false.", "Whenever it is true that fall leafs are located in streets, 'gravitational collapse continues to produce energy release which, in turn, causes expansion' is true.", 'We know that either ducks fly over houses or cocaine is the main alkaloid of the coca plant.', 'If ducks fly over houses, then if gravitational collapse continues to produce energy release which, in turn, causes expansion, then science is the search for truth and knowledge.', 'Once we know cocaine is the main alkaloid of the coca plant, we also know that abalones live all over the world.', 'One may reasonably assume that if meadowlarks have (part) plasma membranes, then if abalones live all over the world, then if gravitational collapse continues to produce energy release which, in turn, causes expansion, then science is the search for truth and knowledge.', "The statement 'meadowlarks have (part) plasma membranes' can be considered true."]
|
Whenever it is true that exercise slows down the release of stress hormones, 'motmots are vocal at dawn' is true. When if fall leafs are located in streets, then science is the search for truth and knowledge is true, it follows that the statement 'motmots are vocal at dawn' can be considered false. Whenever it is true that fall leafs are located in streets, 'gravitational collapse continues to produce energy release which, in turn, causes expansion' is true. We know that either ducks fly over houses or cocaine is the main alkaloid of the coca plant. If ducks fly over houses, then if gravitational collapse continues to produce energy release which, in turn, causes expansion, then science is the search for truth and knowledge. Once we know cocaine is the main alkaloid of the coca plant, we also know that abalones live all over the world. One may reasonably assume that if meadowlarks have (part) plasma membranes, then if abalones live all over the world, then if gravitational collapse continues to produce energy release which, in turn, causes expansion, then science is the search for truth and knowledge. The statement 'meadowlarks have (part) plasma membranes' can be considered true.
|
The statement that states exercise slows down the release of stress hormones is false.
|
The statement 'exercise slows down the release of stress hormones' is true.
|
FALSE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (Not [1].).
If [2], then [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [3]. [SC2-3]
Therefore, If [2], then [3]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then [3].).
If [6], then (If [4], then [3].). [SC3-4]
Therefore, If [4], then [3]..
[SC3-4]
Hypothetical Syllogism:
If [6], then [7].
If [7], then (If [4], then [3].). [SC2-5]
Therefore, If [6], then (If [4], then [3].)..
[SC2-5]
Modus Ponens:
If [8], then (If [7], then (If [4], then [3].).).
[8]
Therefore, If [7], then (If [4], then [3].)..
|
{0: 'Exercise slows down the release of stress hormones.', 1: 'Motmots are vocal at dawn.', 2: 'Fall leafs are located in streets.', 3: 'Science is the search for truth and knowledge.', 4: 'Gravitational collapse continues to produce energy release which, in turn, causes expansion.', 5: 'Ducks fly over houses.', 6: 'Cocaine is the main alkaloid of the coca plant.', 7: 'Abalones live all over the world.', 8: 'Meadowlarks have (part) plasma membranes.'}
| 6 |
5,170 |
['Either most chickens has-part throats or either leaves have similar taste or woodlouses have (part) cells.', 'If most chickens has-part throats, then if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells.', 'Provided that either leaves have similar taste or woodlouses have (part) cells, we know that either wellness is also a balanced diet - unlike human baby food or performers have (part) arms.', 'There is good reason to believe that either small intestines perform functions or owls have ear flaps.', "So long as owls have ear flaps, 'if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly' is true.", "Once we know the notion that 'if either wellness is also a balanced diet - unlike human baby food or performers have (part) arms, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly' is untrue, we also know that if disorder results in pain, then an economic condition is a condition.", "The statement 'if disorder results in pain, then an economic condition is a condition' can be considered false.", 'One may reasonably assume that if the statement, if small intestines perform functions, then if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly, does not hold, then some people mistakenly believe that most mice live up to years.', 'Provided that the statement, if small intestines perform functions, then if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly, does not hold, we know that some coconut water contains concentration.', 'Given that some coconut water contains concentration, it can be inferred that most mice live up to years.']
|
Either most chickens has-part throats or either leaves have similar taste or woodlouses have (part) cells. If most chickens has-part throats, then if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells. Provided that either leaves have similar taste or woodlouses have (part) cells, we know that either wellness is also a balanced diet - unlike human baby food or performers have (part) arms. There is good reason to believe that either small intestines perform functions or owls have ear flaps. So long as owls have ear flaps, 'if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly' is true. Once we know the notion that 'if either wellness is also a balanced diet - unlike human baby food or performers have (part) arms, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly' is untrue, we also know that if disorder results in pain, then an economic condition is a condition. The statement 'if disorder results in pain, then an economic condition is a condition' can be considered false. One may reasonably assume that if the statement, if small intestines perform functions, then if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly, does not hold, then some people mistakenly believe that most mice live up to years. Provided that the statement, if small intestines perform functions, then if if foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses, then mussels are accidentally gold, owing to the make-up of their shells, then if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly, does not hold, we know that some coconut water contains concentration. Given that some coconut water contains concentration, it can be inferred that most mice live up to years.
|
One may reasonably assume that if drug development has several advantage, then carbon dioxide replaces oxygen in a grain bin and can be deadly.
|
Should it be the case that drug development involves a high degree of risk, it follows that carbon dioxide replaces oxygen in a grain bin and can be deadly.
|
Uncertain
|
Disjunction Elimination:
Either (If [2], then [3].) or (Either [4] or [5].). [SC1-1]
If (If [2], then [3].), then (If [0], then [1].). [SC2-1]
If (Either [4] or [5].), then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either [6] or (Either [7] or [8].).
If [6], then (If [2], then [3].).
If (Either [7] or [8].), then (Either [4] or [5].).
Therefore, Either (If [2], then [3].) or (Either [4] or [5].)..
[SC2-1]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (If [2], then [3].), then (If [0], then [1].).). [SC2-2]
If [12], then (If (If [2], then [3].), then (If [0], then [1].).).
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [11], then (If (If [2], then [3].), then (If [0], then [1].).).).), then [13]. [SC1-3]
If (Not (If [11], then (If (If [2], then [3].), then (If [0], then [1].).).).), then (Not [13].).
Therefore, If [11], then (If (If [2], then [3].), then (If [0], then [1].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [11], then (If (If [2], then [3].), then (If [0], then [1].).).).), then [14].
If [14], then [13].
Therefore, If (Not (If [11], then (If (If [2], then [3].), then (If [0], then [1].).).).), then [13]..
[SC3-1]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (If [0], then [1].).).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, If (Either [4] or [5].), then (If [0], then [1].)..
|
{0: 'Drug development has several advantage.', 1: 'Carbon dioxide replaces oxygen in a grain bin and can be deadly.', 2: 'Foamy viruses appear to occupy a unique niche quite distinct from all other groups of retroviruses.', 3: 'Mussels are accidentally gold, owing to the make-up of their shells.', 4: 'Wellness is also a balanced diet - unlike human baby food.', 5: 'Performers have (part) arms.', 6: 'Most chickens has-part throats.', 7: 'Leaves have similar taste.', 8: 'Woodlouses have (part) cells.', 9: 'Disorder results in pain.', 10: 'An economic condition is a condition.', 11: 'Small intestines perform functions.', 12: 'Owls have ear flaps.', 13: 'Most mice live up to years.', 14: 'Some coconut water contains concentration.'}
| 6 |
5,187 |
['Should it be the case that many people have single parents, it follows that gold paint is used to paint the beading that frames the scene.', 'Many people rightly believe that some elms grow along streams.', 'If some people mistakenly believe that if some elms grow along streams, then many people have single parents, then if captive animals tend to be most active in the early morning and late afternoon and evening, then gun barrels tend to walk as heat is generated as a result of discharging a round.', "Whenever it is true that if captive animals tend to be most active in the early morning and late afternoon and evening, then gun barrels tend to walk as heat is generated as a result of discharging a round, 'either determinate types stop growing when fruit sets on the terminal bud or bags are located in mail boxs' is true.", 'One may reasonably assume that if either determinate types stop growing when fruit sets on the terminal bud or bags are located in mail boxs, then anorexics are unresponsive to the effects of food.', 'Either dinosaurs are old or we know that the claim that anorexics are unresponsive to the effects of food is false.', 'The claim that dinosaurs are old does not correspond with reality.']
|
Should it be the case that many people have single parents, it follows that gold paint is used to paint the beading that frames the scene. Many people rightly believe that some elms grow along streams. If some people mistakenly believe that if some elms grow along streams, then many people have single parents, then if captive animals tend to be most active in the early morning and late afternoon and evening, then gun barrels tend to walk as heat is generated as a result of discharging a round. Whenever it is true that if captive animals tend to be most active in the early morning and late afternoon and evening, then gun barrels tend to walk as heat is generated as a result of discharging a round, 'either determinate types stop growing when fruit sets on the terminal bud or bags are located in mail boxs' is true. One may reasonably assume that if either determinate types stop growing when fruit sets on the terminal bud or bags are located in mail boxs, then anorexics are unresponsive to the effects of food. Either dinosaurs are old or we know that the claim that anorexics are unresponsive to the effects of food is false. The claim that dinosaurs are old does not correspond with reality.
|
It is a simple truth that gold paint is used to paint the beading that frames the scene.
|
It is a simple truth that gold paint is used to paint the beading that frames the scene.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If [2], then [1].).), then (Either [3] or [4].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [2], then [1].).), then (If [6], then [7].).
If (If [6], then [7].), then (Either [3] or [4].).
Therefore, If (Not (If [2], then [1].).), then (Either [3] or [4].)..
[SC2-3]
Modus Tonens:
If (Either [3] or [4].), then [5].
Not [5]. [SC2-4]
Therefore, Not (Either [3] or [4].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (Not [5].).
Not [8].
Therefore, Not [5]..
|
{0: 'Gold paint is used to paint the beading that frames the scene.', 1: 'Many people have single parents.', 2: 'Some elms grow along streams.', 3: 'Determinate types stop growing when fruit sets on the terminal bud.', 4: 'Bags are located in mail boxs.', 5: 'Anorexics are unresponsive to the effects of food.', 6: 'Captive animals tend to be most active in the early morning and late afternoon and evening.', 7: 'Gun barrels tend to walk as heat is generated as a result of discharging a round.', 8: 'Dinosaurs are old.'}
| 6 |
5,934 |
['If forests are vital for the well being of the planet, then if captions are exceptions, then apples are fat, sodium, and cholesterol free.', "The statement 'forests are vital for the well being of the planet' can be considered true.", 'When walruses get food is true, it follows that if captions are exceptions, then the claim that apples are fat, sodium, and cholesterol free does not correspond with reality.', 'Once we know most proteins find in pet food, we also know that if captions are exceptions, then the claim that apples are fat, sodium, and cholesterol free does not correspond with reality.', 'Either everyday substances can have negative effects on the environment that few people recognize or either women have milk or either walruses get food or most proteins find in pet food.', 'The claim that everyday substances can have negative effects on the environment that few people recognize does not reflect reality.', 'It is rational to believe that either either most animals utilize proteins or every human being is a work of art or if manufacturing is concentrated in food processing, textiles, vehicles and chemicals, then many parents are concerned about their children using the Internet.', 'Should it be the case that either most animals utilize proteins or every human being is a work of art, it follows that those that suggest women have milk are wrong.', 'Assuming if manufacturing is concentrated in food processing, textiles, vehicles and chemicals, then many parents are concerned about their children using the Internet, we know that those that suggest women have milk are wrong.']
|
If forests are vital for the well being of the planet, then if captions are exceptions, then apples are fat, sodium, and cholesterol free. The statement 'forests are vital for the well being of the planet' can be considered true. When walruses get food is true, it follows that if captions are exceptions, then the claim that apples are fat, sodium, and cholesterol free does not correspond with reality. Once we know most proteins find in pet food, we also know that if captions are exceptions, then the claim that apples are fat, sodium, and cholesterol free does not correspond with reality. Either everyday substances can have negative effects on the environment that few people recognize or either women have milk or either walruses get food or most proteins find in pet food. The claim that everyday substances can have negative effects on the environment that few people recognize does not reflect reality. It is rational to believe that either either most animals utilize proteins or every human being is a work of art or if manufacturing is concentrated in food processing, textiles, vehicles and chemicals, then many parents are concerned about their children using the Internet. Should it be the case that either most animals utilize proteins or every human being is a work of art, it follows that those that suggest women have milk are wrong. Assuming if manufacturing is concentrated in food processing, textiles, vehicles and chemicals, then many parents are concerned about their children using the Internet, we know that those that suggest women have milk are wrong.
|
The claim that captions are exceptions is false.
|
We know that the claim that captions are part of illustrations is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].).
[2]
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [0], then (Not [1].).).
If [4], then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or [4].). [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [3] or [4]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [5] or (Either [3] or [4].).).
Not [6].
Therefore, Either [5] or (Either [3] or [4].)..
[SC2-3]
Disjunction Elimination:
Either (Either [7] or [8].) or (If [9], then [10].).
If (Either [7] or [8].), then (Not [5].).
If (If [9], then [10].), then (Not [5].).
Therefore, Not [5]..
|
{0: 'Captions are exceptions.', 1: 'Apples are fat, sodium, and cholesterol free.', 2: 'Forests are vital for the well being of the planet.', 3: 'Walruses get food.', 4: 'Most proteins find in pet food.', 5: 'Women have milk.', 6: 'Everyday substances can have negative effects on the environment that few people recognize.', 7: 'Most animals utilize proteins.', 8: 'Every human being is a work of art.', 9: 'Manufacturing is concentrated in food processing, textiles, vehicles and chemicals.', 10: 'Many parents are concerned about their children using the Internet.'}
| 6 |
5,133 |
['It is fair to say that stainless steel is found in kitchens and dining rooms where food is prepared and served.', 'There is good reason to believe that either plasma acts in some ways just like a gas or either either birds are complex creatures of habit or most panthers kill prey or birds have ranges.', 'We know that the claim that plasma acts in some ways just like a gas is false.', "If the notion that 'if either birds are complex creatures of habit or most panthers kill prey, then if stainless steel is found in kitchens and dining rooms where food is prepared and served, then it is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use' is untrue, then inhalational anthrax is virtually always fatal.", 'It is not true that inhalational anthrax is virtually always fatal.', "Assuming glass has appearances, we know that if stainless steel is found in kitchens and dining rooms where food is prepared and served, then it is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use.", "Whenever it is true that urban design is practiced in many different ways, 'if birds have ranges, then glass has appearances' is true.", 'It is reasonable to believe that urban design is practiced in many different ways.']
|
It is fair to say that stainless steel is found in kitchens and dining rooms where food is prepared and served. There is good reason to believe that either plasma acts in some ways just like a gas or either either birds are complex creatures of habit or most panthers kill prey or birds have ranges. We know that the claim that plasma acts in some ways just like a gas is false. If the notion that 'if either birds are complex creatures of habit or most panthers kill prey, then if stainless steel is found in kitchens and dining rooms where food is prepared and served, then it is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use' is untrue, then inhalational anthrax is virtually always fatal. It is not true that inhalational anthrax is virtually always fatal. Assuming glass has appearances, we know that if stainless steel is found in kitchens and dining rooms where food is prepared and served, then it is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use. Whenever it is true that urban design is practiced in many different ways, 'if birds have ranges, then glass has appearances' is true. It is reasonable to believe that urban design is practiced in many different ways.
|
It is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use.
|
It is not the case that if sympathetic innervation occurs from the thoracic ganglia, then china has the world's highest rate of mortality attributable to tobacco use.
|
TRUE
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5]. [SC1-2]
If (Either [3] or [4].), then (If [2], then (Not (If [0], then [1].).).). [SC2-2]
If [5], then (If [2], then (Not (If [0], then [1].).).). [SC3-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either (Either [3] or [4].) or [5].).
Not [8].
Therefore, Either (Either [3] or [4].) or [5]..
[SC2-2]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (If [2], then (Not (If [0], then [1].).).).).), then [6].
Not [6].
Therefore, If (Either [3] or [4].), then (If [2], then (Not (If [0], then [1].).).)..
[SC3-2]
Hypothetical Syllogism:
If [5], then [7]. [SC1-3]
If [7], then (If [2], then (Not (If [0], then [1].).).).
Therefore, If [5], then (If [2], then (Not (If [0], then [1].).).)..
[SC1-3]
Modus Ponens:
If [9], then (If [5], then [7].).
[9]
Therefore, If [5], then [7]..
|
{0: 'Sympathetic innervation occurs from the thoracic ganglia.', 1: "China has the world's highest rate of mortality attributable to tobacco use.", 2: 'Stainless steel is found in kitchens and dining rooms where food is prepared and served.', 3: 'Birds are complex creatures of habit.', 4: 'Most panthers kill prey.', 5: 'Birds have ranges.', 6: 'Inhalational anthrax is virtually always fatal.', 7: 'Glass has appearances.', 8: 'Plasma acts in some ways just like a gas.', 9: 'Urban design is practiced in many different ways.'}
| 6 |
5,301 |
['Given that javan has (part) legs, it can be inferred that the statement, tooth decay is the result of many factors, including heredity and the make-up and flow of saliva, does not hold.', 'Once we know we know that the claim that either grain has functions or if we know that the claim that counterfeiter isa individual is false, then javan has (part) legs is false, we also know that if english people are nations, then vascular tissue is composed of xylem and phloem.', 'If we know that the claim that either grain has functions or if we know that the claim that counterfeiter isa individual is false, then javan has (part) legs is false, then we know that the claim that if english people are nations, then vascular tissue is composed of xylem and phloem is false.', 'On the condition that grain has functions, it is definitely the case that abortion is a crime and, thus, very rare.', 'It is a common misconception that abortion is a crime and, thus, very rare.', 'Once we know percutaneous injuries are a significant occupational hazard in dentistry, we also know that if javan has (part) legs, then tooth decay is the result of many factors, including heredity and the make-up and flow of saliva.', 'The claim that percutaneous injuries are a significant occupational hazard in dentistry holds true.']
|
Given that javan has (part) legs, it can be inferred that the statement, tooth decay is the result of many factors, including heredity and the make-up and flow of saliva, does not hold. Once we know we know that the claim that either grain has functions or if we know that the claim that counterfeiter isa individual is false, then javan has (part) legs is false, we also know that if english people are nations, then vascular tissue is composed of xylem and phloem. If we know that the claim that either grain has functions or if we know that the claim that counterfeiter isa individual is false, then javan has (part) legs is false, then we know that the claim that if english people are nations, then vascular tissue is composed of xylem and phloem is false. On the condition that grain has functions, it is definitely the case that abortion is a crime and, thus, very rare. It is a common misconception that abortion is a crime and, thus, very rare. Once we know percutaneous injuries are a significant occupational hazard in dentistry, we also know that if javan has (part) legs, then tooth decay is the result of many factors, including heredity and the make-up and flow of saliva. The claim that percutaneous injuries are a significant occupational hazard in dentistry holds true.
|
Many people rightly believe that counterfeiter isa individual.
|
It is a common misconception that counterfeiter isa individual.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
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]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (Not [0].), then [1].).).), then (If [6], then [7].).
If (Not (Either [3] or (If (Not [0].), then [1].).).), then (Not (If [6], then [7].).).
Therefore, Either [3] or (If (Not [0].), then [1].)..
[SC2-2]
Modus Tonens:
If [3], then [4].
Not [4].
Therefore, Not [3]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [1], then [2].).
[5]
Therefore, If [1], then [2]..
|
{0: 'Counterfeiter isa individual.', 1: 'Javan has (part) legs.', 2: 'Tooth decay is the result of many factors, including heredity and the make-up and flow of saliva.', 3: 'Grain has functions.', 4: 'Abortion is a crime and, thus, very rare.', 5: 'Percutaneous injuries are a significant occupational hazard in dentistry.', 6: 'English people are nations.', 7: 'Vascular tissue is composed of xylem and phloem.'}
| 6 |
5,731 |
['The statement that states dogs learn tricks, like begging, shaking hands or playing dead is false.', 'One may reasonably assume that if vents are portals, then reindeer eat mostly grass , but eat also almost any other plant.', 'Should it be the case that reindeer eat mostly grass , but eat also almost any other plant, it follows that most large tortoises live for years.', 'Either biologists follow approaches or encryption is a way to rewrite something in a code, which can be decoded later with the right key.', 'If biologists follow approaches, then if most large tortoises live for years, then weight loss helps memory.', 'On the condition that encryption is a way to rewrite something in a code, which can be decoded later with the right key, it is definitely the case that if most large tortoises live for years, then weight loss helps memory.', 'Provided that if heart disease is the leading cause of death for adults worldwide, researchers note, then energy comes in various raw forms, we know that either dogs learn tricks, like begging, shaking hands or playing dead or vents are portals.', 'Should it be the case that heart disease is the leading cause of death for adults worldwide, researchers note, it follows that energy comes in various raw forms.']
|
The statement that states dogs learn tricks, like begging, shaking hands or playing dead is false. One may reasonably assume that if vents are portals, then reindeer eat mostly grass , but eat also almost any other plant. Should it be the case that reindeer eat mostly grass , but eat also almost any other plant, it follows that most large tortoises live for years. Either biologists follow approaches or encryption is a way to rewrite something in a code, which can be decoded later with the right key. If biologists follow approaches, then if most large tortoises live for years, then weight loss helps memory. On the condition that encryption is a way to rewrite something in a code, which can be decoded later with the right key, it is definitely the case that if most large tortoises live for years, then weight loss helps memory. Provided that if heart disease is the leading cause of death for adults worldwide, researchers note, then energy comes in various raw forms, we know that either dogs learn tricks, like begging, shaking hands or playing dead or vents are portals. Should it be the case that heart disease is the leading cause of death for adults worldwide, researchers note, it follows that energy comes in various raw forms.
|
Those that suggest weight loss helps memory are right.
|
The statement that states weight loss helps memory is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [8].
If [8], then [2].
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then [0].).
If [7], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1]. [SC1-2]
Not [3].
Therefore, [1].
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (Either [3] or [1].).
If [4], then [5].
Therefore, Either [3] or [1]..
|
{0: 'Weight loss helps memory.', 1: 'Vents are portals.', 2: 'Most large tortoises live for years.', 3: 'Dogs learn tricks, like begging, shaking hands or playing dead.', 4: 'Heart disease is the leading cause of death for adults worldwide, researchers note.', 5: 'Energy comes in various raw forms.', 6: 'Biologists follow approaches.', 7: 'Encryption is a way to rewrite something in a code, which can be decoded later with the right key.', 8: 'Reindeer eat mostly grass , but eat also almost any other plant.'}
| 6 |
5,670 |
['Either one or both of these statements are true: many women also enjoy sex more without having to worry about pregnancy, or if cool jazz is a reaction to the intensity of bop, then dogs receive vitamins.', 'Once we know if cool jazz is a reaction to the intensity of bop, then dogs receive vitamins, we also know that if many dogs enjoy lying in a darkened area such as under a table or bed, then gold is the same in Arizona as it is in Texas.', 'It is rational to believe that either people are the world s greatest capital or some prescription medicines can help flu symptoms.', 'Assuming some prescription medicines can help flu symptoms, we know that many dogs enjoy lying in a darkened area such as under a table or bed.', 'There is good reason to believe that either food webs are basically a bunch of food chains all in one or if many women also enjoy sex more without having to worry about pregnancy, then if many dogs enjoy lying in a darkened area such as under a table or bed, then gold is the same in Arizona as it is in Texas.', "The statement that 'food webs are basically a bunch of food chains all in one' is incorrect.", "It is a common misconception that pornography causes massive damage in guys' lives and relationships.", 'Assuming the statement that states if people are the world s greatest capital, then many dogs enjoy lying in a darkened area such as under a table or bed is false, we know that cymbidiums are plants.', "Provided that cymbidiums are plants, we know that pornography causes massive damage in guys' lives and relationships."]
|
Either one or both of these statements are true: many women also enjoy sex more without having to worry about pregnancy, or if cool jazz is a reaction to the intensity of bop, then dogs receive vitamins. Once we know if cool jazz is a reaction to the intensity of bop, then dogs receive vitamins, we also know that if many dogs enjoy lying in a darkened area such as under a table or bed, then gold is the same in Arizona as it is in Texas. It is rational to believe that either people are the world s greatest capital or some prescription medicines can help flu symptoms. Assuming some prescription medicines can help flu symptoms, we know that many dogs enjoy lying in a darkened area such as under a table or bed. There is good reason to believe that either food webs are basically a bunch of food chains all in one or if many women also enjoy sex more without having to worry about pregnancy, then if many dogs enjoy lying in a darkened area such as under a table or bed, then gold is the same in Arizona as it is in Texas. The statement that 'food webs are basically a bunch of food chains all in one' is incorrect. It is a common misconception that pornography causes massive damage in guys' lives and relationships. Assuming the statement that states if people are the world s greatest capital, then many dogs enjoy lying in a darkened area such as under a table or bed is false, we know that cymbidiums are plants. Provided that cymbidiums are plants, we know that pornography causes massive damage in guys' lives and relationships.
|
Those that suggest gold is the same in Arizona as it is in Texas are right.
|
Those that suggest gold is the same in Arizona as it is in Texas are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (If [1], then [0].). [SC2-2]
If (If [3], then [4].), then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If [2], then (If [1], then [0].).).
Not [8].
Therefore, If [2], then (If [1], then [0].)..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then [1]. [SC2-2]
If [6], then [1].
Therefore, [1].
[SC2-2]
Modus Tonens:
If (Not (If [5], then [1].).), then [7]. [SC1-3]
Not [7].
Therefore, If [5], then [1]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [5], then [1].).), then [9].
If [9], then [7].
Therefore, If (Not (If [5], then [1].).), then [7]..
|
{0: 'Gold is the same in Arizona as it is in Texas.', 1: 'Many dogs enjoy lying in a darkened area such as under a table or bed.', 2: 'Many women also enjoy sex more without having to worry about pregnancy.', 3: 'Cool jazz is a reaction to the intensity of bop.', 4: 'Dogs receive vitamins.', 5: 'People are the world s greatest capital.', 6: 'Some prescription medicines can help flu symptoms.', 7: "Pornography causes massive damage in guys' lives and relationships.", 8: 'Food webs are basically a bunch of food chains all in one.', 9: 'Cymbidiums are plants.'}
| 6 |
5,318 |
['Once we know it is not true that tuberoses bloom only once in seven years, we also know that if most glycine has effects, then museums have specimens.', 'Assuming if most glycine has effects, then museums have specimens, we know that most jaws have teeth.', 'There is good reason to believe that either many coronas lie in groups or chains or the claim that most jaws have teeth is false.', 'It is a fact that either women have more severe and longer lasting pain than men or strawberries are red.', "So long as women have more severe and longer lasting pain than men, 'if some owls sit in forests, then those that suggest many coronas lie in groups or chains are wrong' is true.", "Whenever it is true that strawberries are red, 'if some owls sit in forests, then those that suggest many coronas lie in groups or chains are wrong' is true.", 'We know that either if vegetables retain moisture, then pistols have (part) eyepieces or some owls sit in forests.', 'The statement, if vegetables retain moisture, then pistols have (part) eyepieces, does not hold.']
|
Once we know it is not true that tuberoses bloom only once in seven years, we also know that if most glycine has effects, then museums have specimens. Assuming if most glycine has effects, then museums have specimens, we know that most jaws have teeth. There is good reason to believe that either many coronas lie in groups or chains or the claim that most jaws have teeth is false. It is a fact that either women have more severe and longer lasting pain than men or strawberries are red. So long as women have more severe and longer lasting pain than men, 'if some owls sit in forests, then those that suggest many coronas lie in groups or chains are wrong' is true. Whenever it is true that strawberries are red, 'if some owls sit in forests, then those that suggest many coronas lie in groups or chains are wrong' is true. We know that either if vegetables retain moisture, then pistols have (part) eyepieces or some owls sit in forests. The statement, if vegetables retain moisture, then pistols have (part) eyepieces, does not hold.
|
It is fair to say that tuberoses bloom only once in seven years.
|
It is fair to say that tuberoses bloom only once in seven years.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (If [2], then [3].).
If (If [2], then [3].), then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [5], then (Not [4].). [SC1-3]
[5] [SC2-3]
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (Not [4].).).
If [9], then (If [5], then (Not [4].).).
Therefore, If [5], then (Not [4].)..
[SC2-3]
Disjunctive Syllogism:
Either (If [6], then [7].) or [5].
Not (If [6], then [7].).
Therefore, [5].
|
{0: 'Tuberoses bloom only once in seven years.', 1: 'Most jaws have teeth.', 2: 'Most glycine has effects.', 3: 'Museums have specimens.', 4: 'Many coronas lie in groups or chains.', 5: 'Some owls sit in forests.', 6: 'Vegetables retain moisture.', 7: 'Pistols have (part) eyepieces.', 8: 'Women have more severe and longer lasting pain than men.', 9: 'Strawberries are red.'}
| 6 |
5,078 |
['It is not the case that chickens are well known for their eggs .', 'On the condition that it is not true that if coyotes are established throughout all of the United States, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees, it is definitely the case that it is not true that if intangibles are where the big money is, then soliloquies are short and sweet.', 'Once we know the statement, if some people mistakenly believe that if fabric is used for curtains, then coyotes are established throughout all of the United States, then chickens are well known for their eggs , does not hold, we also know that if mountain goats are found in Canada, Alaska, Washington, Idaho, Oregon and Montana, then some countries take more than their fair share from the environment.', 'Given that the statement, if some people mistakenly believe that if fabric is used for curtains, then coyotes are established throughout all of the United States, then chickens are well known for their eggs , does not hold, it can be inferred that the claim that if mountain goats are found in Canada, Alaska, Washington, Idaho, Oregon and Montana, then some countries take more than their fair share from the environment does not correspond with reality.', 'We know that either electric currents produce magnetic fields or if it is not true that if coyotes are established throughout all of the United States, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees, then if intangibles are where the big money is, then soliloquies are short and sweet.', 'At least one of two things is true: eggs come in different sizes and colors, or fish produce the same pain-blocking substances as humans.', 'Should it be the case that eggs come in different sizes and colors, it follows that the claim that electric currents produce magnetic fields does not reflect reality.', 'When fish produce the same pain-blocking substances as humans is true, it follows that the claim that electric currents produce magnetic fields does not reflect reality.']
|
It is not the case that chickens are well known for their eggs . On the condition that it is not true that if coyotes are established throughout all of the United States, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees, it is definitely the case that it is not true that if intangibles are where the big money is, then soliloquies are short and sweet. Once we know the statement, if some people mistakenly believe that if fabric is used for curtains, then coyotes are established throughout all of the United States, then chickens are well known for their eggs , does not hold, we also know that if mountain goats are found in Canada, Alaska, Washington, Idaho, Oregon and Montana, then some countries take more than their fair share from the environment. Given that the statement, if some people mistakenly believe that if fabric is used for curtains, then coyotes are established throughout all of the United States, then chickens are well known for their eggs , does not hold, it can be inferred that the claim that if mountain goats are found in Canada, Alaska, Washington, Idaho, Oregon and Montana, then some countries take more than their fair share from the environment does not correspond with reality. We know that either electric currents produce magnetic fields or if it is not true that if coyotes are established throughout all of the United States, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees, then if intangibles are where the big money is, then soliloquies are short and sweet. At least one of two things is true: eggs come in different sizes and colors, or fish produce the same pain-blocking substances as humans. Should it be the case that eggs come in different sizes and colors, it follows that the claim that electric currents produce magnetic fields does not reflect reality. When fish produce the same pain-blocking substances as humans is true, it follows that the claim that electric currents produce magnetic fields does not reflect reality.
|
If fabric is used for curtains, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees.
|
If fabric is used for curtains, then hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [2].).), then [5]. [SC1-2]
Not [5].
Therefore, If [0], then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [2].).), then [5].).), then (If [7], then [8].).
If (Not (If (Not (If [0], then [2].).), then [5].).), then (Not (If [7], then [8].).).
Therefore, If (Not (If [0], then [2].).), then [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then (If [3], then [4].). [SC1-2]
If (Not (If [2], then [1].).), then (Not (If [3], then [4].).).
Therefore, If [2], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If [2], then [1].).), then (If [3], then [4].).).
Not [6]. [SC2-3]
Therefore, If (Not (If [2], then [1].).), then (If [3], then [4].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [6].).
If [10], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Fabric is used for curtains.', 1: 'Hurricane damage influences foliar polyphenolics and the subsequent herbivory on surviving trees.', 2: 'Coyotes are established throughout all of the United States.', 3: 'Intangibles are where the big money is.', 4: 'Soliloquies are short and sweet.', 5: 'Chickens are well known for their eggs .', 6: 'Electric currents produce magnetic fields .', 7: 'Mountain goats are found in Canada, Alaska, Washington, Idaho, Oregon and Montana.', 8: 'Some countries take more than their fair share from the environment.', 9: 'Eggs come in different sizes and colors.', 10: 'Fish produce the same pain-blocking substances as humans.'}
| 6 |
5,521 |
['The claim that linen cloth is mentioned in all four gospels does not correspond with reality.', "When it is not the case that if the statement 'results may have important consequences' can be considered false, then linen cloth is mentioned in all four gospels is true, it follows that lizards are small and can hide their eggs well.", 'On the condition that either staff members have responsibility or most ice has structures, it is definitely the case that potential energy is stationary, stored energy.', 'Provided that potential energy is stationary, stored energy, we know that if plants have special adaptations for producing food, then some skin contains mucous glands.', 'The claim that if plants have special adaptations for producing food, then some skin contains mucous glands is false.', 'At least one of two things is true: receptionists are located in desks, or if lizards are small and can hide their eggs well, then either staff members have responsibility or most ice has structures.', 'The statement that states receptionists are located in desks is false.']
|
The claim that linen cloth is mentioned in all four gospels does not correspond with reality. When it is not the case that if the statement 'results may have important consequences' can be considered false, then linen cloth is mentioned in all four gospels is true, it follows that lizards are small and can hide their eggs well. On the condition that either staff members have responsibility or most ice has structures, it is definitely the case that potential energy is stationary, stored energy. Provided that potential energy is stationary, stored energy, we know that if plants have special adaptations for producing food, then some skin contains mucous glands. The claim that if plants have special adaptations for producing food, then some skin contains mucous glands is false. At least one of two things is true: receptionists are located in desks, or if lizards are small and can hide their eggs well, then either staff members have responsibility or most ice has structures. The statement that states receptionists are located in desks is false.
|
The claim that results may have important consequences holds true.
|
The claim that results may have important consequences does not correspond with reality.
|
FALSE
|
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]
Modus Tonens:
If [2], then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then (Either [6] or [7].). [SC1-4]
If (Either [6] or [7].), then [3].
Therefore, If [2], then [3]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [2], then (Either [6] or [7].).).
Not [8].
Therefore, If [2], then (Either [6] or [7].)..
[SC2-3]
Modus Tonens:
If [3], then (If [4], then [5].).
Not (If [4], then [5].).
Therefore, Not [3]..
|
{0: 'Results may have important consequences.', 1: 'Linen cloth is mentioned in all four gospels.', 2: 'Lizards are small and can hide their eggs well.', 3: 'Potential energy is stationary, stored energy.', 4: 'Plants have special adaptations for producing food.', 5: 'Some skin contains mucous glands.', 6: 'Staff members have responsibility.', 7: 'Most ice has structures.', 8: 'Receptionists are located in desks.'}
| 6 |
5,346 |
["Given that the statement 'earwigs are large predators, easily seen with the naked eye' can be considered false, it can be inferred that options trading is just another vehicle people can use when attempting to make money.", 'When the statement, if options trading is just another vehicle people can use when attempting to make money, then if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections, does not hold is true, it follows that language is a tool of communication and as such, words mean what people agree they mean.', 'The claim that language is a tool of communication and as such, words mean what people agree they mean has no merit.', 'Either one or both of these statements are true: most healthcare costs are in the last few years of life, or equality is a cardinal rule in Academia.', "On the condition that equality is a cardinal rule in Academia, it is definitely the case that if options trading is just another vehicle people can use when attempting to make money, then the notion that 'if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections' is untrue.", 'We know that the claim that if all collisions have the same momentum before and after a collision , then beneficial nematodes seek out and kill all stages of harmful soil-dwelling insects is false.', 'Either necks are located in wood or high temperatures appear to lead to rapid dissipation of some POPs to the atmosphere.', 'One may reasonably assume that if necks are located in wood, then if all collisions have the same momentum before and after a collision , then beneficial nematodes seek out and kill all stages of harmful soil-dwelling insects.', "One may reasonably assume that if high temperatures appear to lead to rapid dissipation of some POPs to the atmosphere, then if most healthcare costs are in the last few years of life, then if options trading is just another vehicle people can use when attempting to make money, then the notion that 'if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections' is untrue."]
|
Given that the statement 'earwigs are large predators, easily seen with the naked eye' can be considered false, it can be inferred that options trading is just another vehicle people can use when attempting to make money. When the statement, if options trading is just another vehicle people can use when attempting to make money, then if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections, does not hold is true, it follows that language is a tool of communication and as such, words mean what people agree they mean. The claim that language is a tool of communication and as such, words mean what people agree they mean has no merit. Either one or both of these statements are true: most healthcare costs are in the last few years of life, or equality is a cardinal rule in Academia. On the condition that equality is a cardinal rule in Academia, it is definitely the case that if options trading is just another vehicle people can use when attempting to make money, then the notion that 'if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections' is untrue. We know that the claim that if all collisions have the same momentum before and after a collision , then beneficial nematodes seek out and kill all stages of harmful soil-dwelling insects is false. Either necks are located in wood or high temperatures appear to lead to rapid dissipation of some POPs to the atmosphere. One may reasonably assume that if necks are located in wood, then if all collisions have the same momentum before and after a collision , then beneficial nematodes seek out and kill all stages of harmful soil-dwelling insects. One may reasonably assume that if high temperatures appear to lead to rapid dissipation of some POPs to the atmosphere, then if most healthcare costs are in the last few years of life, then if options trading is just another vehicle people can use when attempting to make money, then the notion that 'if chameleons have (part) vertebrate feet, then low testosterone decreases sexual desire, increases fatigue, and prevents erections' is untrue.
|
It is the case that earwigs are large predators, easily seen with the naked eye.
|
Earwigs like to hide under cloth.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then (If [2], then [3].). [SC1-2]
If [1], then (Not (If [2], then [3].).). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then (If [2], then [3].).).), then [4].
Not [4].
Therefore, If [1], then (If [2], then [3].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then (Not (If [2], then [3].).).). [SC2-3]
If [6], then (If [1], then (Not (If [2], then [3].).).).
Therefore, If [1], then (Not (If [2], then [3].).)..
[SC2-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [5], then (If [1], then (Not (If [2], then [3].).).).). [SC1-4]
Not (If [7], then [8].).
Therefore, If [5], then (If [1], then (Not (If [2], then [3].).).)..
[SC1-4]
Constructive Dilemma:
Either [9] or [10].
If [9], then (If [7], then [8].).
If [10], then (If [5], then (If [1], then (Not (If [2], then [3].).).).).
Therefore, Either (If [7], then [8].) or (If [5], then (If [1], then (Not (If [2], then [3].).).).)..
|
{0: 'Earwigs are large predators, easily seen with the naked eye.', 1: 'Options trading is just another vehicle people can use when attempting to make money.', 2: 'Chameleons have (part) vertebrate feet.', 3: 'Low testosterone decreases sexual desire, increases fatigue, and prevents erections.', 4: 'Language is a tool of communication and as such, words mean what people agree they mean.', 5: 'Most healthcare costs are in the last few years of life.', 6: 'Equality is a cardinal rule in Academia.', 7: 'All collisions have the same momentum before and after a collision .', 8: 'Beneficial nematodes seek out and kill all stages of harmful soil-dwelling insects.', 9: 'Necks are located in wood.', 10: 'High temperatures appear to lead to rapid dissipation of some POPs to the atmosphere.'}
| 6 |
5,198 |
["So long as humans are susceptible, especially older and immunosuppressed individuals who are at a higher risk, 'polynicotinate chromium is also more bioavailable than chromium picolinate' is true.", 'It is not true that forensic anthropology is an area of applied anthropology.', 'It is rational to believe that either nilgai are native to India and Pakistan, where they are the largest species of antelope or if some flippers are part of whales, then polynicotinate chromium is also more bioavailable than chromium picolinate.', "The statement 'if hesitation is indecision, then assignees are part of patents' can be considered false.", 'Should it be the case that if smoking harms others, then obscenity is a legal determination, using community standards, it follows that the claim that nilgai are native to India and Pakistan, where they are the largest species of antelope has no merit.', 'Provided that smoking harms others, we know that obscenity is a legal determination, using community standards.', 'There is good reason to believe that either velocity is a combination of energy and drive, combining physical and mental or either if hesitation is indecision, then assignees are part of patents or if it is not true that either some flippers are part of whales or humans are susceptible, especially older and immunosuppressed individuals who are at a higher risk, then forensic anthropology is an area of applied anthropology.', "The statement 'velocity is a combination of energy and drive, combining physical and mental' can be considered false."]
|
So long as humans are susceptible, especially older and immunosuppressed individuals who are at a higher risk, 'polynicotinate chromium is also more bioavailable than chromium picolinate' is true. It is not true that forensic anthropology is an area of applied anthropology. It is rational to believe that either nilgai are native to India and Pakistan, where they are the largest species of antelope or if some flippers are part of whales, then polynicotinate chromium is also more bioavailable than chromium picolinate. The statement 'if hesitation is indecision, then assignees are part of patents' can be considered false. Should it be the case that if smoking harms others, then obscenity is a legal determination, using community standards, it follows that the claim that nilgai are native to India and Pakistan, where they are the largest species of antelope has no merit. Provided that smoking harms others, we know that obscenity is a legal determination, using community standards. There is good reason to believe that either velocity is a combination of energy and drive, combining physical and mental or either if hesitation is indecision, then assignees are part of patents or if it is not true that either some flippers are part of whales or humans are susceptible, especially older and immunosuppressed individuals who are at a higher risk, then forensic anthropology is an area of applied anthropology. The statement 'velocity is a combination of energy and drive, combining physical and mental' can be considered false.
|
Those that suggest polynicotinate chromium is also more bioavailable than chromium picolinate are right.
|
The statement that states polynicotinate chromium is also more bioavailable than chromium picolinate is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [4]. [SC1-2]
Not [4].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not (Either [1] or [2].).), then [4].). [SC1-3]
Not (If [7], then [8].).
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (Either (If [7], then [8].) or (If (Not (Either [1] or [2].).), then [4].).).
Not [9].
Therefore, Either (If [7], then [8].) or (If (Not (Either [1] or [2].).), then [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Ponens:
If (If [5], then [6].), then (Not [3].).
If [5], then [6].
Therefore, Not [3]..
|
{0: 'Polynicotinate chromium is also more bioavailable than chromium picolinate.', 1: 'Some flippers are part of whales.', 2: 'Humans are susceptible, especially older and immunosuppressed individuals who are at a higher risk.', 3: 'Nilgai are native to India and Pakistan, where they are the largest species of antelope.', 4: 'Forensic anthropology is an area of applied anthropology.', 5: 'Smoking harms others.', 6: 'Obscenity is a legal determination, using community standards.', 7: 'Hesitation is indecision.', 8: 'Assignees are part of patents.', 9: 'Velocity is a combination of energy and drive, combining physical and mental.'}
| 6 |
5,865 |
['Once we know the claim that either most radioactivity is on the surface of the metal and can be scrubbed off or if acknowledgment draws attention, then full Dentures are removable replacements after all the teeth are removed does not correspond with reality, we also know that photo studios sell film and develop pictures.', 'It is a common misconception that photo studios sell film and develop pictures.', 'Some people mistakenly believe that conventional wisdom holds that early fertility equals high fertility.', 'Once we know the claim that either conventional wisdom holds that early fertility equals high fertility or it is not true that most radioactivity is on the surface of the metal and can be scrubbed off does not correspond with reality, we also know that visible light is scattered in two different ways as it passes through the atmosphere.', 'Given that visible light is scattered in two different ways as it passes through the atmosphere, it can be inferred that soybeans grow best in loose, well-drained soil rich in organic matter.', "Whenever it is true that soybeans grow best in loose, well-drained soil rich in organic matter, 'stress is in all classes of people, high class right down to low class' is true.", 'The claim that stress is in all classes of people, high class right down to low class is false.']
|
Once we know the claim that either most radioactivity is on the surface of the metal and can be scrubbed off or if acknowledgment draws attention, then full Dentures are removable replacements after all the teeth are removed does not correspond with reality, we also know that photo studios sell film and develop pictures. It is a common misconception that photo studios sell film and develop pictures. Some people mistakenly believe that conventional wisdom holds that early fertility equals high fertility. Once we know the claim that either conventional wisdom holds that early fertility equals high fertility or it is not true that most radioactivity is on the surface of the metal and can be scrubbed off does not correspond with reality, we also know that visible light is scattered in two different ways as it passes through the atmosphere. Given that visible light is scattered in two different ways as it passes through the atmosphere, it can be inferred that soybeans grow best in loose, well-drained soil rich in organic matter. Whenever it is true that soybeans grow best in loose, well-drained soil rich in organic matter, 'stress is in all classes of people, high class right down to low class' is true. The claim that stress is in all classes of people, high class right down to low class is false.
|
Assuming acknowledgment draws attention, we know that full Dentures are removable replacements after all the teeth are removed.
|
Assuming acknowledgment draws attention, we know that full Dentures are removable replacements after all the teeth are removed.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then [4].
Not [4].
Therefore, Either [2] or (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3].
Therefore, Not [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (Not [2].).).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [3] or (Not [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [3] or (Not [2].).).), then [6].
If [6], then [5].
Therefore, If (Not (Either [3] or (Not [2].).).), then [5]..
[SC2-3]
Modus Tonens:
If [5], then [7].
Not [7].
Therefore, Not [5]..
|
{0: 'Acknowledgment draws attention.', 1: 'Full Dentures are removable replacements after all the teeth are removed.', 2: 'Most radioactivity is on the surface of the metal and can be scrubbed off.', 3: 'Conventional wisdom holds that early fertility equals high fertility.', 4: 'Photo studios sell film and develop pictures.', 5: 'Soybeans grow best in loose, well-drained soil rich in organic matter.', 6: 'Visible light is scattered in two different ways as it passes through the atmosphere.', 7: 'Stress is in all classes of people, high class right down to low class.'}
| 6 |
5,548 |
["Whenever it is true that charity dedicates to educational assistance, 'either a plainsman is an inhabitant or either most cats only shift their weight a little or compaction increases the resistance of soil to penetration by tillage equipment and plant roots' is true.", "The statement 'charity dedicates to educational assistance' can be considered true.", 'There is good reason to believe that either smoking is restricted on public transport and in some public buildings or either migrants have (part) legs or modern biology is a rigorous and quantitative science.', 'On the condition that smoking is restricted on public transport and in some public buildings, it is definitely the case that if a plainsman is an inhabitant, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources.', 'Provided that either migrants have (part) legs or modern biology is a rigorous and quantitative science, we know that if a plainsman is an inhabitant, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources.', 'It is rational to believe that either special effects are effects or a flower girl is an assistant.', 'Assuming factors determine depth, we know that if either most cats only shift their weight a little or compaction increases the resistance of soil to penetration by tillage equipment and plant roots, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources.', 'If the claim that if either special effects are effects or a flower girl is an assistant, then factors determine depth has no merit, then cholesterol is made in the body, mostly in the liver, and has many important functions in the body.', 'Once we know the claim that if either special effects are effects or a flower girl is an assistant, then factors determine depth has no merit, we also know that the claim that cholesterol is made in the body, mostly in the liver, and has many important functions in the body does not reflect reality.']
|
Whenever it is true that charity dedicates to educational assistance, 'either a plainsman is an inhabitant or either most cats only shift their weight a little or compaction increases the resistance of soil to penetration by tillage equipment and plant roots' is true. The statement 'charity dedicates to educational assistance' can be considered true. There is good reason to believe that either smoking is restricted on public transport and in some public buildings or either migrants have (part) legs or modern biology is a rigorous and quantitative science. On the condition that smoking is restricted on public transport and in some public buildings, it is definitely the case that if a plainsman is an inhabitant, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources. Provided that either migrants have (part) legs or modern biology is a rigorous and quantitative science, we know that if a plainsman is an inhabitant, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources. It is rational to believe that either special effects are effects or a flower girl is an assistant. Assuming factors determine depth, we know that if either most cats only shift their weight a little or compaction increases the resistance of soil to penetration by tillage equipment and plant roots, then if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources. If the claim that if either special effects are effects or a flower girl is an assistant, then factors determine depth has no merit, then cholesterol is made in the body, mostly in the liver, and has many important functions in the body. Once we know the claim that if either special effects are effects or a flower girl is an assistant, then factors determine depth has no merit, we also know that the claim that cholesterol is made in the body, mostly in the liver, and has many important functions in the body does not reflect reality.
|
One may reasonably assume that if severe obesity is a long term condition that is very difficult to treat, then some lizards use resources.
|
Once we know severe obesity is a chronic condition that is very difficult to treat, we also know that some lizards use resources.
|
Uncertain
|
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If (Either [3] or [4].), then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [5], then (Either [2] or (Either [3] or [4].).).
[5]
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-1]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If [2], then (If [0], then [1].).).
If (Either [7] or [8].), then (If [2], then (If [0], then [1].).).
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Modus Ponens:
If (Either [9] or [10].), then (If (Either [3] or [4].), then (If [0], then [1].).). [SC1-2]
Either [9] or [10].
Therefore, If (Either [3] or [4].), then (If [0], then [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Either [9] or [10].), then [11]. [SC1-3]
If [11], then (If (Either [3] or [4].), then (If [0], then [1].).).
Therefore, If (Either [9] or [10].), then (If (Either [3] or [4].), then (If [0], then [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [9] or [10].), then [11].).), then [12].
If (Not (If (Either [9] or [10].), then [11].).), then (Not [12].).
Therefore, If (Either [9] or [10].), then [11]..
|
{0: 'Severe obesity is a long term condition that is very difficult to treat.', 1: 'Some lizards use resources.', 2: 'A plainsman is an inhabitant.', 3: 'Most cats only shift their weight a little.', 4: 'Compaction increases the resistance of soil to penetration by tillage equipment and plant roots.', 5: 'Charity dedicates to educational assistance.', 6: 'Smoking is restricted on public transport and in some public buildings.', 7: 'Migrants have (part) legs.', 8: 'Modern biology is a rigorous and quantitative science.', 9: 'Special effects are effects.', 10: 'A flower girl is an assistant.', 11: 'Factors determine depth.', 12: 'Cholesterol is made in the body, mostly in the liver, and has many important functions in the body.'}
| 6 |
5,915 |
['It is a fact that either bases are a type of molecule or biochemical or some rhizomes form tubers.', 'Should it be the case that some rhizomes form tubers, it follows that tan is hyperpigmentation.', 'The claim that dusts can also irritate the adults does not correspond with reality.', "One may reasonably assume that if those that suggest if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then some fish contain mercury are wrong, then waders are necessary to fish the streams in spots.", "Whenever it is true that those that suggest if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then some fish contain mercury are wrong, 'some people mistakenly believe that waders are necessary to fish the streams in spots' is true.", 'It is not the case that humans tend to use a combination of predicate logic and fuzzy logic .', "At least one of two things is true: canines are, on the average, far more physiologically viable circulatory specimens than man, or either humans tend to use a combination of predicate logic and fuzzy logic or if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then the statement that 'some fish contain mercury' is incorrect.", 'The claim that canines are, on the average, far more physiologically viable circulatory specimens than man does not correspond with reality.']
|
It is a fact that either bases are a type of molecule or biochemical or some rhizomes form tubers. Should it be the case that some rhizomes form tubers, it follows that tan is hyperpigmentation. The claim that dusts can also irritate the adults does not correspond with reality. One may reasonably assume that if those that suggest if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then some fish contain mercury are wrong, then waders are necessary to fish the streams in spots. Whenever it is true that those that suggest if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then some fish contain mercury are wrong, 'some people mistakenly believe that waders are necessary to fish the streams in spots' is true. It is not the case that humans tend to use a combination of predicate logic and fuzzy logic . At least one of two things is true: canines are, on the average, far more physiologically viable circulatory specimens than man, or either humans tend to use a combination of predicate logic and fuzzy logic or if the statement that 'either dusts can also irritate the adults or if bases are a type of molecule or biochemical, then tan is hyperpigmentation' is incorrect, then the statement that 'some fish contain mercury' is incorrect. The claim that canines are, on the average, far more physiologically viable circulatory specimens than man does not correspond with reality.
|
The claim that tan is hyperpigmentation holds true.
|
Any tan is a sign of potentially damaged skin.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].). [SC1-2]
Not [3].
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If [1], then [0].).).), then [4]. [SC1-3]
If (Not (Either [3] or (If [1], then [0].).).), then (Not [4].). [SC2-3]
Therefore, Either [3] or (If [1], then [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [3] or (If [1], then [0].).).), then [4].).), then [5].
If (Not (If (Not (Either [3] or (If [1], then [0].).).), then [4].).), then (Not [5].).
Therefore, If (Not (Either [3] or (If [1], then [0].).).), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If (Not (Either [3] or (If [1], then [0].).).), then (Not [4].).). [SC1-4]
Not [6].
Therefore, If (Not (Either [3] or (If [1], then [0].).).), then (Not [4].)..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (Either [6] or (If (Not (Either [3] or (If [1], then [0].).).), then (Not [4].).).).
Not [7].
Therefore, Either [6] or (If (Not (Either [3] or (If [1], then [0].).).), then (Not [4].).)..
|
{0: 'Tan is hyperpigmentation.', 1: 'Bases are a type of molecule or biochemical.', 2: 'Some rhizomes form tubers.', 3: 'Dusts can also irritate the adults.', 4: 'Some fish contain mercury.', 5: 'Waders are necessary to fish the streams in spots.', 6: 'Humans tend to use a combination of predicate logic and fuzzy logic .', 7: 'Canines are, on the average, far more physiologically viable circulatory specimens than man.'}
| 6 |
5,588 |
["Once we know the notion that 'if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then lactose intolerance can also hinder optimal calcium intake' is untrue, we also know that some species of bamboo seem to have a few plants in flower somewhere most of the time.", 'The claim that if some white mullets have oily flesh, then white rhinos face problems does not correspond with reality.', "On the condition that it is not the case that if the notion that 'if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then lactose intolerance can also hinder optimal calcium intake' is untrue, then the claim that some species of bamboo seem to have a few plants in flower somewhere most of the time does not reflect reality, it is definitely the case that either powder is prepared by grinding up the desirable portion of the herb into a powder or traditional knowledge is transmitted orally from generation to generation.", 'The claim that either powder is prepared by grinding up the desirable portion of the herb into a powder or traditional knowledge is transmitted orally from generation to generation is false.', "One may reasonably assume that if we know that the claim that if we know that the claim that if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then it is not the case that lactose intolerance can also hinder optimal calcium intake is false, then if some white mullets have oily flesh, then white rhinos face problems is false, then the notion that 'either quarks are theoretical entitites or infected corms rot in storage' is untrue.", 'There is good reason to believe that either piano trios are pieces for piano , violin and cello or if we know that the claim that if we know that the claim that if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then it is not the case that lactose intolerance can also hinder optimal calcium intake is false, then if some white mullets have oily flesh, then white rhinos face problems is false, then either quarks are theoretical entitites or infected corms rot in storage.', 'It is a common misconception that piano trios are pieces for piano , violin and cello .']
|
Once we know the notion that 'if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then lactose intolerance can also hinder optimal calcium intake' is untrue, we also know that some species of bamboo seem to have a few plants in flower somewhere most of the time. The claim that if some white mullets have oily flesh, then white rhinos face problems does not correspond with reality. On the condition that it is not the case that if the notion that 'if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then lactose intolerance can also hinder optimal calcium intake' is untrue, then the claim that some species of bamboo seem to have a few plants in flower somewhere most of the time does not reflect reality, it is definitely the case that either powder is prepared by grinding up the desirable portion of the herb into a powder or traditional knowledge is transmitted orally from generation to generation. The claim that either powder is prepared by grinding up the desirable portion of the herb into a powder or traditional knowledge is transmitted orally from generation to generation is false. One may reasonably assume that if we know that the claim that if we know that the claim that if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then it is not the case that lactose intolerance can also hinder optimal calcium intake is false, then if some white mullets have oily flesh, then white rhinos face problems is false, then the notion that 'either quarks are theoretical entitites or infected corms rot in storage' is untrue. There is good reason to believe that either piano trios are pieces for piano , violin and cello or if we know that the claim that if we know that the claim that if the statement that states coastal ecosystems are diverse and productive, and subjected to ever increasing pressures is false, then it is not the case that lactose intolerance can also hinder optimal calcium intake is false, then if some white mullets have oily flesh, then white rhinos face problems is false, then either quarks are theoretical entitites or infected corms rot in storage. It is a common misconception that piano trios are pieces for piano , violin and cello .
|
It is reasonable to believe that coastal ecosystems are diverse and productive, and subjected to ever increasing pressures.
|
Coastal ecosystems are important economically for tourism and recreation.
|
Uncertain
|
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 [4].
If (Not (If (Not [0].), then [1].).), then (Not [4].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [4].).).), then (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [4].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).).), then (Either [7] or [8].). [SC1-3]
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).).), then (Not (Either [7] or [8].).).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).).), then (Either [7] or [8].).).
Not [9].
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).).), then (Either [7] or [8].)..
|
{0: 'Coastal ecosystems are diverse and productive, and subjected to ever increasing pressures.', 1: 'Lactose intolerance can also hinder optimal calcium intake.', 2: 'Some white mullets have oily flesh.', 3: 'White rhinos face problems.', 4: 'Some species of bamboo seem to have a few plants in flower somewhere most of the time.', 5: 'Powder is prepared by grinding up the desirable portion of the herb into a powder.', 6: 'Traditional knowledge is transmitted orally from generation to generation.', 7: 'Quarks are theoretical entitites.', 8: 'Infected corms rot in storage.', 9: 'Piano trios are pieces for piano , violin and cello .'}
| 6 |
5,447 |
["Should it be the case that the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, it follows that the statement that 'trees provide important resources' is incorrect.", 'Either vitamin D is also important for calcium absorption and bone health or either organic shapes look like things from nature or influenza is a contagious disease caused by a virus.', "There is good reason to believe that either musical intelligence is demonstrated through an individual's use of rhythm and melody or if organic shapes look like things from nature, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources.", "Those that suggest musical intelligence is demonstrated through an individual's use of rhythm and melody are wrong.", 'It is rational to believe that either some habits begin at a young age or if most wine makes from grapes, then most religions are secret societies.', "When some habits begin at a young age is true, it follows that if influenza is a contagious disease caused by a virus, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources.", "When if most wine makes from grapes, then most religions are secret societies is true, it follows that if influenza is a contagious disease caused by a virus, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources.", 'We know that at least one of two things is true: development occurs in diploid phases, or those that suggest vitamin D is also important for calcium absorption and bone health are wrong.', 'The claim that development occurs in diploid phases does not correspond with reality.']
|
Should it be the case that the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, it follows that the statement that 'trees provide important resources' is incorrect. Either vitamin D is also important for calcium absorption and bone health or either organic shapes look like things from nature or influenza is a contagious disease caused by a virus. There is good reason to believe that either musical intelligence is demonstrated through an individual's use of rhythm and melody or if organic shapes look like things from nature, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources. Those that suggest musical intelligence is demonstrated through an individual's use of rhythm and melody are wrong. It is rational to believe that either some habits begin at a young age or if most wine makes from grapes, then most religions are secret societies. When some habits begin at a young age is true, it follows that if influenza is a contagious disease caused by a virus, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources. When if most wine makes from grapes, then most religions are secret societies is true, it follows that if influenza is a contagious disease caused by a virus, then if the statement that states resistivity is the measure of a material's effectiveness in resisting current flow is false, then trees provide important resources. We know that at least one of two things is true: development occurs in diploid phases, or those that suggest vitamin D is also important for calcium absorption and bone health are wrong. The claim that development occurs in diploid phases does not correspond with reality.
|
It is fair to say that resistivity is the measure of a material's effectiveness in resisting current flow.
|
Resistivity can be in the realm of stainless steel.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or [3].).
Not [5]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (Not [5].).
Not [9].
Therefore, Not [5]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [2], then (If (Not [0].), then [1].).).
Not [4].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC3-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [3], then (If (Not [0].), then [1].).).
If (If [7], then [8].), then (If [3], then (If (Not [0].), then [1].).).
Therefore, If [3], then (If (Not [0].), then [1].)..
|
{0: "Resistivity is the measure of a material's effectiveness in resisting current flow.", 1: 'Trees provide important resources.', 2: 'Organic shapes look like things from nature.', 3: 'Influenza is a contagious disease caused by a virus.', 4: "Musical intelligence is demonstrated through an individual's use of rhythm and melody.", 5: 'Vitamin D is also important for calcium absorption and bone health.', 6: 'Some habits begin at a young age.', 7: 'Most wine makes from grapes.', 8: 'Most religions are secret societies.', 9: 'Development occurs in diploid phases.'}
| 6 |
5,021 |
["The statement 'energy is the ability to do work, and work's the ability to move an object against a force' can be considered false.", "When pSychopaths seem proud of their ability to lie is true, it follows that either energy is the ability to do work, and work's the ability to move an object against a force or batteries require batteries.", "Assuming corporate investigators work for companies other than investigative firms-often large corporations, we know that either energy is the ability to do work, and work's the ability to move an object against a force or batteries require batteries.", 'Either brains are intelligence or either pSychopaths seem proud of their ability to lie or corporate investigators work for companies other than investigative firms-often large corporations.', 'Those that suggest fingerprints can distort the laser beam and adversely affect performance are wrong.', 'Assuming those that suggest either fingerprints can distort the laser beam and adversely affect performance or the claim that brains are intelligence has no merit are wrong, we know that gastric secretion is controlled by nerve impulses and the hormone gastrin .', 'Should it be the case that similes are a way to describe something, it follows that the claim that gastric secretion is controlled by nerve impulses and the hormone gastrin has no merit.', 'It is fair to say that similes are a way to describe something.']
|
The statement 'energy is the ability to do work, and work's the ability to move an object against a force' can be considered false. When pSychopaths seem proud of their ability to lie is true, it follows that either energy is the ability to do work, and work's the ability to move an object against a force or batteries require batteries. Assuming corporate investigators work for companies other than investigative firms-often large corporations, we know that either energy is the ability to do work, and work's the ability to move an object against a force or batteries require batteries. Either brains are intelligence or either pSychopaths seem proud of their ability to lie or corporate investigators work for companies other than investigative firms-often large corporations. Those that suggest fingerprints can distort the laser beam and adversely affect performance are wrong. Assuming those that suggest either fingerprints can distort the laser beam and adversely affect performance or the claim that brains are intelligence has no merit are wrong, we know that gastric secretion is controlled by nerve impulses and the hormone gastrin . Should it be the case that similes are a way to describe something, it follows that the claim that gastric secretion is controlled by nerve impulses and the hormone gastrin has no merit. It is fair to say that similes are a way to describe something.
|
Those that suggest batteries require batteries are right.
|
Those that suggest batteries require batteries are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Either [1] or [0].).
If [3], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].).
Not [4]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [4].). [SC1-4]
Not [5].
Therefore, Not [4]..
[SC1-4]
Modus Tonens:
If (Not (Either [5] or (Not [4].).).), then [6].
Not [6]. [SC2-5]
Therefore, Either [5] or (Not [4].)..
[SC2-5]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
|
{0: 'Batteries require batteries.', 1: "Energy is the ability to do work, and work's the ability to move an object against a force.", 2: 'PSychopaths seem proud of their ability to lie.', 3: 'Corporate investigators work for companies other than investigative firms-often large corporations.', 4: 'Brains are intelligence.', 5: 'Fingerprints can distort the laser beam and adversely affect performance.', 6: 'Gastric secretion is controlled by nerve impulses and the hormone gastrin .', 7: 'Similes are a way to describe something.'}
| 6 |
5,724 |
["One may reasonably assume that if the statement that 'if sodium is vital to normal body growth, then hybrids are well known in flatfishes' is incorrect, then some cereals are high in sodium.", 'Assuming primates live in countries, we know that if some cereals are high in sodium, then most turtles are evolved from animals.', 'Many people rightly believe that primates live in countries.', 'Either one or both of these statements are true: transpiration is the evaporation of water from plant leaves, or all clouds contain water vapors.', 'Either one or both of these statements are true: female kangaroos are somewhat smaller than the males, or most crocodiles exhibit eyes.', 'Once we know female kangaroos are somewhat smaller than the males, we also know that if transpiration is the evaporation of water from plant leaves, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals.', 'Once we know most crocodiles exhibit eyes, we also know that if transpiration is the evaporation of water from plant leaves, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals.', 'We know that at least one of two things is true: walruses have (part) corpi, or swans eat foliage.', 'If walruses have (part) corpi, then if all clouds contain water vapors, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals.', 'Given that swans eat foliage, it can be inferred that if all clouds contain water vapors, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals.']
|
One may reasonably assume that if the statement that 'if sodium is vital to normal body growth, then hybrids are well known in flatfishes' is incorrect, then some cereals are high in sodium. Assuming primates live in countries, we know that if some cereals are high in sodium, then most turtles are evolved from animals. Many people rightly believe that primates live in countries. Either one or both of these statements are true: transpiration is the evaporation of water from plant leaves, or all clouds contain water vapors. Either one or both of these statements are true: female kangaroos are somewhat smaller than the males, or most crocodiles exhibit eyes. Once we know female kangaroos are somewhat smaller than the males, we also know that if transpiration is the evaporation of water from plant leaves, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals. Once we know most crocodiles exhibit eyes, we also know that if transpiration is the evaporation of water from plant leaves, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals. We know that at least one of two things is true: walruses have (part) corpi, or swans eat foliage. If walruses have (part) corpi, then if all clouds contain water vapors, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals. Given that swans eat foliage, it can be inferred that if all clouds contain water vapors, then if some cereals are high in sodium, then it is not the case that most turtles are evolved from animals.
|
Assuming sodium is vital to normal body growth, we know that hybrids are well known in flatfishes.
|
The claim that if sodium is vital to normal body growth, then hybrids are well known in flatfishes is false.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-2]
If [2], then (Not [3].). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [4], then (If [2], then [3].).
[4]
Therefore, If [2], then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then (Not [3].).). [SC2-3]
If [6], then (If [2], then (Not [3].).). [SC3-3]
Therefore, If [2], then (Not [3].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [5], then (If [2], then (Not [3].).).).
If [10], then (If [5], then (If [2], then (Not [3].).).).
Therefore, If [5], then (If [2], then (Not [3].).)..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If [2], then (Not [3].).).).
If [8], then (If [6], then (If [2], then (Not [3].).).).
Therefore, If [6], then (If [2], then (Not [3].).)..
|
{0: 'Sodium is vital to normal body growth.', 1: 'Hybrids are well known in flatfishes.', 2: 'Some cereals are high in sodium.', 3: 'Most turtles are evolved from animals.', 4: 'Primates live in countries.', 5: 'Transpiration is the evaporation of water from plant leaves.', 6: 'All clouds contain water vapors.', 7: 'Walruses have (part) corpi.', 8: 'Swans eat foliage.', 9: 'Female kangaroos are somewhat smaller than the males.', 10: 'Most crocodiles exhibit eyes.'}
| 6 |
5,718 |
['Should it be the case that women become entrepreneurs at a younger age than men and have less experience in business, it follows that if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums.', 'Either one or both of these statements are true: coconut oil is the most typical frying medium in Southern India, or if urban legends are a quirky subdivision of folklore, then atmospheric pressures can also change significantly within a matter of minutes.', 'Given that coconut oil is the most typical frying medium in Southern India, it can be inferred that it is not the case that some transuranic waste is stored on asphalt pads in drums.', 'When if urban legends are a quirky subdivision of folklore, then atmospheric pressures can also change significantly within a matter of minutes is true, it follows that it is not the case that some transuranic waste is stored on asphalt pads in drums.', "We know that the claim that gene therapy is the modification of the tumor's genes to cause it to self-destruct is false.", 'Assuming it is not true that if some deaf dogs seem to love chasing a flashlight beam, then if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums, we know that beetles exploit almost every ecological niche and exhibit a tremendous range in size.', "Provided that it is not true that if some deaf dogs seem to love chasing a flashlight beam, then if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums, we know that the statement that 'beetles exploit almost every ecological niche and exhibit a tremendous range in size' is incorrect.", "Should it be the case that the claim that either gene therapy is the modification of the tumor's genes to cause it to self-destruct or either women become entrepreneurs at a younger age than men and have less experience in business or some deaf dogs seem to love chasing a flashlight beam is false, it follows that some miscarriages occur when the cervix is weak and opens too early.", 'The claim that some miscarriages occur when the cervix is weak and opens too early is false.']
|
Should it be the case that women become entrepreneurs at a younger age than men and have less experience in business, it follows that if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums. Either one or both of these statements are true: coconut oil is the most typical frying medium in Southern India, or if urban legends are a quirky subdivision of folklore, then atmospheric pressures can also change significantly within a matter of minutes. Given that coconut oil is the most typical frying medium in Southern India, it can be inferred that it is not the case that some transuranic waste is stored on asphalt pads in drums. When if urban legends are a quirky subdivision of folklore, then atmospheric pressures can also change significantly within a matter of minutes is true, it follows that it is not the case that some transuranic waste is stored on asphalt pads in drums. We know that the claim that gene therapy is the modification of the tumor's genes to cause it to self-destruct is false. Assuming it is not true that if some deaf dogs seem to love chasing a flashlight beam, then if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums, we know that beetles exploit almost every ecological niche and exhibit a tremendous range in size. Provided that it is not true that if some deaf dogs seem to love chasing a flashlight beam, then if if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness, then some transuranic waste is stored on asphalt pads in drums, we know that the statement that 'beetles exploit almost every ecological niche and exhibit a tremendous range in size' is incorrect. Should it be the case that the claim that either gene therapy is the modification of the tumor's genes to cause it to self-destruct or either women become entrepreneurs at a younger age than men and have less experience in business or some deaf dogs seem to love chasing a flashlight beam is false, it follows that some miscarriages occur when the cervix is weak and opens too early. The claim that some miscarriages occur when the cervix is weak and opens too early is false.
|
The statement that 'if beavers are capable of building dams across virtually any stream or small river, then most wounds cause weakness' is incorrect.
|
The notion that 'beavers are well-known for their engineering skills, particularly in building dams' is untrue.
|
Uncertain
|
Modus Tonens:
If (If [0], then [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either [6] or [7]. [SC1-2]
If [6], then (If (If [0], then [1].), then [2].).
If [7], then (If (If [0], then [1].), then [2].). [SC3-2]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either [6] or [7].). [SC1-3]
Not [9].
Therefore, Either [6] or [7]..
[SC1-3]
Modus Tonens:
If (Not (Either [9] or (Either [6] or [7].).).), then [10].
Not [10].
Therefore, Either [9] or (Either [6] or [7].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [7], then (If (If [0], then [1].), then [2].).).), then [8].
If (Not (If [7], then (If (If [0], then [1].), then [2].).).), then (Not [8].).
Therefore, If [7], then (If (If [0], then [1].), then [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (Not [2].).
If (If [4], then [5].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Beavers are capable of building dams across virtually any stream or small river.', 1: 'Most wounds cause weakness.', 2: 'Some transuranic waste is stored on asphalt pads in drums.', 3: 'Coconut oil is the most typical frying medium in Southern India.', 4: 'Urban legends are a quirky subdivision of folklore.', 5: 'Atmospheric pressures can also change significantly within a matter of minutes.', 6: 'Women become entrepreneurs at a younger age than men and have less experience in business.', 7: 'Some deaf dogs seem to love chasing a flashlight beam.', 8: 'Beetles exploit almost every ecological niche and exhibit a tremendous range in size.', 9: "Gene therapy is the modification of the tumor's genes to cause it to self-destruct.", 10: 'Some miscarriages occur when the cervix is weak and opens too early.'}
| 6 |
5,250 |
['It is a fact that either if ladybirds have (part) heads, then air pressure causes movement or researchers are adults.', 'Should it be the case that if ladybirds have (part) heads, then air pressure causes movement, it follows that some clouds cause allergic skin reaction.', 'If the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then idiots are capable of bugs.', 'It is a common misconception that paste isa adhesive.', "If the claim that if the notion that 'if the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then we know that the claim that idiots are capable of bugs is false' is untrue, then paste isa adhesive does not correspond with reality, then hardness increases somewhat with higher atomic number.", "Once we know the statement, if the claim that if the notion that 'if the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then we know that the claim that idiots are capable of bugs is false' is untrue, then paste isa adhesive does not correspond with reality, then we know that the claim that hardness increases somewhat with higher atomic number is false, does not hold, we also know that either salinity is a good parameter to characterize water at a given spot or whales have flat heads.", "So long as either salinity is a good parameter to characterize water at a given spot or whales have flat heads, 'if tV is used for entertainment and for education, then most people get it from taking antibiotics or swimming, bathing or drinking chlorinated water' is true.", "The statement that 'if tV is used for entertainment and for education, then most people get it from taking antibiotics or swimming, bathing or drinking chlorinated water' is incorrect."]
|
It is a fact that either if ladybirds have (part) heads, then air pressure causes movement or researchers are adults. Should it be the case that if ladybirds have (part) heads, then air pressure causes movement, it follows that some clouds cause allergic skin reaction. If the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then idiots are capable of bugs. It is a common misconception that paste isa adhesive. If the claim that if the notion that 'if the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then we know that the claim that idiots are capable of bugs is false' is untrue, then paste isa adhesive does not correspond with reality, then hardness increases somewhat with higher atomic number. Once we know the statement, if the claim that if the notion that 'if the claim that if researchers are adults, then some clouds cause allergic skin reaction does not correspond with reality, then we know that the claim that idiots are capable of bugs is false' is untrue, then paste isa adhesive does not correspond with reality, then we know that the claim that hardness increases somewhat with higher atomic number is false, does not hold, we also know that either salinity is a good parameter to characterize water at a given spot or whales have flat heads. So long as either salinity is a good parameter to characterize water at a given spot or whales have flat heads, 'if tV is used for entertainment and for education, then most people get it from taking antibiotics or swimming, bathing or drinking chlorinated water' is true. The statement that 'if tV is used for entertainment and for education, then most people get it from taking antibiotics or swimming, bathing or drinking chlorinated water' is incorrect.
|
Many people rightly believe that some clouds cause allergic skin reaction.
|
Many people rightly believe that some clouds cause allergic skin reaction.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then [0].).), then [4].
If (Not (If [3], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5]. [SC1-3]
Not [5].
Therefore, If (Not (If [3], then [0].).), then (Not [4].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5].).), then [6].
If (Not (If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5].).), then (Not [6].). [SC2-4]
Therefore, If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5]..
[SC2-4]
Modus Tonens:
If (Not (If (Not (If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5].).), then (Not [6].).).), then (Either [7] or [8].).
Not (Either [7] or [8].). [SC2-5]
Therefore, If (Not (If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [5].).), then (Not [6].)..
[SC2-5]
Modus Tonens:
If (Either [7] or [8].), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Not (Either [7] or [8].)..
|
{0: 'Some clouds cause allergic skin reaction.', 1: 'Ladybirds have (part) heads.', 2: 'Air pressure causes movement.', 3: 'Researchers are adults.', 4: 'Idiots are capable of bugs.', 5: 'Paste isa adhesive.', 6: 'Hardness increases somewhat with higher atomic number.', 7: 'Salinity is a good parameter to characterize water at a given spot.', 8: 'Whales have flat heads.', 9: 'TV is used for entertainment and for education.', 10: 'Most people get it from taking antibiotics or swimming, bathing or drinking chlorinated water.'}
| 6 |
5,243 |
['Some people mistakenly believe that breast cancer is the most common form of cancer among women in the United States.', 'On the condition that power generation makes water warm, it is definitely the case that either knee flexion Note that the legs move as if they where rigid or either breast cancer is the most common form of cancer among women in the United States or court clerks work for the government, so they receive government benefits.', 'It is not the case that most organisms have similar characteristics.', "If the statement 'power generation makes water warm' can be considered false, then some studies associate zinc deficiency with eating disorders such as anorexia or bulimia.", "Once we know the statement 'power generation makes water warm' can be considered false, we also know that the statement 'some studies associate zinc deficiency with eating disorders such as anorexia or bulimia' can be considered false.", 'It is a fact that either spiritual growth is more important than amassing wealth or either larger moles require the replacement of the excised skin in one form or another or progressive taxation is a form of negative feedback.', 'If spiritual growth is more important than amassing wealth, then most organisms have similar characteristics.', "So long as either larger moles require the replacement of the excised skin in one form or another or progressive taxation is a form of negative feedback, 'the statement, knee flexion Note that the legs move as if they where rigid, does not hold' is true."]
|
Some people mistakenly believe that breast cancer is the most common form of cancer among women in the United States. On the condition that power generation makes water warm, it is definitely the case that either knee flexion Note that the legs move as if they where rigid or either breast cancer is the most common form of cancer among women in the United States or court clerks work for the government, so they receive government benefits. It is not the case that most organisms have similar characteristics. If the statement 'power generation makes water warm' can be considered false, then some studies associate zinc deficiency with eating disorders such as anorexia or bulimia. Once we know the statement 'power generation makes water warm' can be considered false, we also know that the statement 'some studies associate zinc deficiency with eating disorders such as anorexia or bulimia' can be considered false. It is a fact that either spiritual growth is more important than amassing wealth or either larger moles require the replacement of the excised skin in one form or another or progressive taxation is a form of negative feedback. If spiritual growth is more important than amassing wealth, then most organisms have similar characteristics. So long as either larger moles require the replacement of the excised skin in one form or another or progressive taxation is a form of negative feedback, 'the statement, knee flexion Note that the legs move as if they where rigid, does not hold' is true.
|
It is the case that court clerks work for the government, so they receive government benefits.
|
It is the case that court clerks work for the government, so they receive government benefits.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or (Either [1] or [0].).).
[3] [SC2-3]
Therefore, Either [2] or (Either [1] or [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [3].), then [8].
If (Not [3].), then (Not [8].).
Therefore, [3].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [2].). [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either [5] or (Either [6] or [7].).
If [5], then [4].
If (Either [6] or [7].), then (Not [2].).
Therefore, Either [4] or (Not [2].)..
|
{0: 'Court clerks work for the government, so they receive government benefits.', 1: 'Breast cancer is the most common form of cancer among women in the United States.', 2: 'Knee flexion Note that the legs move as if they where rigid.', 3: 'Power generation makes water warm.', 4: 'Most organisms have similar characteristics.', 5: 'Spiritual growth is more important than amassing wealth.', 6: 'Larger moles require the replacement of the excised skin in one form or another.', 7: 'Progressive taxation is a form of negative feedback.', 8: 'Some studies associate zinc deficiency with eating disorders such as anorexia or bulimia.'}
| 6 |
5,571 |
['Should it be the case that it is not true that some abnormalities contribute to development, it follows that water is the lifeblood of California.', 'We know that either either some pearls are even bi-color or male animals tend to be more colorful than females of the same kind or corrosion resistance is better in de-aerated acid.', "Whenever it is true that corrosion resistance is better in de-aerated acid, 'either many cells repel negatively charged molecules with their similarly charged cell membranes or the notion that 'water is the lifeblood of California' is untrue' is true.", 'It is rational to believe that either classical music is also different from jazz because true jazz is improvised or pickerel are in the shallows biting on minnows and crankbaits.', "So long as classical music is also different from jazz because true jazz is improvised, 'the claim that many cells repel negatively charged molecules with their similarly charged cell membranes has no merit' is true.", 'If pickerel are in the shallows biting on minnows and crankbaits, then the claim that many cells repel negatively charged molecules with their similarly charged cell membranes has no merit.', 'It is a common misconception that if researchers have hard time, then supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars.', "Should it be the case that it is not the case that either if researchers have hard time, then supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars or if either some pearls are even bi-color or male animals tend to be more colorful than females of the same kind, then either many cells repel negatively charged molecules with their similarly charged cell membranes or the notion that 'water is the lifeblood of California' is untrue, it follows that most panthers kill prey.", "The statement that 'most panthers kill prey' is incorrect."]
|
Should it be the case that it is not true that some abnormalities contribute to development, it follows that water is the lifeblood of California. We know that either either some pearls are even bi-color or male animals tend to be more colorful than females of the same kind or corrosion resistance is better in de-aerated acid. Whenever it is true that corrosion resistance is better in de-aerated acid, 'either many cells repel negatively charged molecules with their similarly charged cell membranes or the notion that 'water is the lifeblood of California' is untrue' is true. It is rational to believe that either classical music is also different from jazz because true jazz is improvised or pickerel are in the shallows biting on minnows and crankbaits. So long as classical music is also different from jazz because true jazz is improvised, 'the claim that many cells repel negatively charged molecules with their similarly charged cell membranes has no merit' is true. If pickerel are in the shallows biting on minnows and crankbaits, then the claim that many cells repel negatively charged molecules with their similarly charged cell membranes has no merit. It is a common misconception that if researchers have hard time, then supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars. Should it be the case that it is not the case that either if researchers have hard time, then supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars or if either some pearls are even bi-color or male animals tend to be more colorful than females of the same kind, then either many cells repel negatively charged molecules with their similarly charged cell membranes or the notion that 'water is the lifeblood of California' is untrue, it follows that most panthers kill prey. The statement that 'most panthers kill prey' is incorrect.
|
Many people rightly believe that some abnormalities contribute to development.
|
Abnormalities develop in the arterial system.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (Either [2] or (Not [1].).). [SC2-3]
If [5], then (Either [2] or (Not [1].).).
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Either [3] or [4].), then (Either [2] or (Not [1].).).). [SC1-4]
Not (If [8], then [9].).
Therefore, If (Either [3] or [4].), then (Either [2] or (Not [1].).)..
[SC1-4]
Modus Tonens:
If (Not (Either (If [8], then [9].) or (If (Either [3] or [4].), then (Either [2] or (Not [1].).).).).), then [10].
Not [10].
Therefore, Either (If [8], then [9].) or (If (Either [3] or [4].), then (Either [2] or (Not [1].).).)..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [2].).
If [7], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Some abnormalities contribute to development.', 1: 'Water is the lifeblood of California.', 2: 'Many cells repel negatively charged molecules with their similarly charged cell membranes.', 3: 'Some pearls are even bi-color.', 4: 'Male animals tend to be more colorful than females of the same kind.', 5: 'Corrosion resistance is better in de-aerated acid.', 6: 'Classical music is also different from jazz because true jazz is improvised.', 7: 'Pickerel are in the shallows biting on minnows and crankbaits.', 8: 'Researchers have hard time.', 9: 'Supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars.', 10: 'Most panthers kill prey.'}
| 6 |
5,035 |
["Given that the notion that 'either habitats have vegetation or surfaces conduct heat energy' is untrue, it can be inferred that compression is concentration.", "When the notion that 'either habitats have vegetation or surfaces conduct heat energy' is untrue is true, it follows that it is not the case that compression is concentration.", 'It is a fact that either either cancer is the second leading cause of death in California, accounting for nearly one in four deaths or plants are short and finely branched and produce small racemes with relatively large pods or it is a common misconception that habitats have vegetation.', 'It is rational to believe that either either conditions influence choices or scorpions eat feeder crickets or the claim that either cancer is the second leading cause of death in California, accounting for nearly one in four deaths or plants are short and finely branched and produce small racemes with relatively large pods does not correspond with reality.', 'Either spring is the time when the antlers grow quickly but are still covered by velvety fur or the claim that either conditions influence choices or scorpions eat feeder crickets does not correspond with reality.', 'On the condition that spring is the time when the antlers grow quickly but are still covered by velvety fur, it is definitely the case that either gastric adenocarcinoma is a leading cause of cancer mortality world- wide or personality is a great aphrodisiac, when somebody is charming or funny.', "The notion that 'either gastric adenocarcinoma is a leading cause of cancer mortality world- wide or personality is a great aphrodisiac, when somebody is charming or funny' is untrue."]
|
Given that the notion that 'either habitats have vegetation or surfaces conduct heat energy' is untrue, it can be inferred that compression is concentration. When the notion that 'either habitats have vegetation or surfaces conduct heat energy' is untrue is true, it follows that it is not the case that compression is concentration. It is a fact that either either cancer is the second leading cause of death in California, accounting for nearly one in four deaths or plants are short and finely branched and produce small racemes with relatively large pods or it is a common misconception that habitats have vegetation. It is rational to believe that either either conditions influence choices or scorpions eat feeder crickets or the claim that either cancer is the second leading cause of death in California, accounting for nearly one in four deaths or plants are short and finely branched and produce small racemes with relatively large pods does not correspond with reality. Either spring is the time when the antlers grow quickly but are still covered by velvety fur or the claim that either conditions influence choices or scorpions eat feeder crickets does not correspond with reality. On the condition that spring is the time when the antlers grow quickly but are still covered by velvety fur, it is definitely the case that either gastric adenocarcinoma is a leading cause of cancer mortality world- wide or personality is a great aphrodisiac, when somebody is charming or funny. The notion that 'either gastric adenocarcinoma is a leading cause of cancer mortality world- wide or personality is a great aphrodisiac, when somebody is charming or funny' is untrue.
|
The statement 'surfaces conduct heat energy' is true.
|
Some surfaces have friction.
|
Uncertain
|
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].).
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Not [1].).
Not (Either [3] or [4].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Not (Either [3] or [4].).).
Not (Either [5] or [6].). [SC2-3]
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not (Either [5] or [6].).).
Not [7]. [SC2-4]
Therefore, Not (Either [5] or [6].)..
[SC2-4]
Modus Tonens:
If [7], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [7]..
|
{0: 'Surfaces conduct heat energy.', 1: 'Habitats have vegetation.', 2: 'Compression is concentration.', 3: 'Cancer is the second leading cause of death in California, accounting for nearly one in four deaths.', 4: 'Plants are short and finely branched and produce small racemes with relatively large pods.', 5: 'Conditions influence choices.', 6: 'Scorpions eat feeder crickets.', 7: 'Spring is the time when the antlers grow quickly but are still covered by velvety fur.', 8: 'Gastric adenocarcinoma is a leading cause of cancer mortality world- wide.', 9: 'Personality is a great aphrodisiac, when somebody is charming or funny.'}
| 6 |
5,081 |
['We know that the claim that vegetation is very sparse, limiting the role of fire is false.', 'Provided that radiation therapy is used to fight many types of cancer , we know that either vegetation is very sparse, limiting the role of fire or if water makes up about four percent of the oil sand by weight, then either ivory poaching for tusks is the main reason that elephants have been so heavily hunted or rattlesnakes have (part) faces.', 'We can assume that radiation therapy is used to fight many types of cancer .', "Given that chromium has values, it can be inferred that if it is not the case that water makes up about four percent of the oil sand by weight, then perfectionism becomes ingrained in the very fabric of a person's personality.", 'We can assume that chromium has values.', "Provided that fruit has seeds, we know that if it is not the case that water makes up about four percent of the oil sand by weight, then the statement, perfectionism becomes ingrained in the very fabric of a person's personality, does not hold.", 'Many people rightly believe that fruit has seeds.']
|
We know that the claim that vegetation is very sparse, limiting the role of fire is false. Provided that radiation therapy is used to fight many types of cancer , we know that either vegetation is very sparse, limiting the role of fire or if water makes up about four percent of the oil sand by weight, then either ivory poaching for tusks is the main reason that elephants have been so heavily hunted or rattlesnakes have (part) faces. We can assume that radiation therapy is used to fight many types of cancer . Given that chromium has values, it can be inferred that if it is not the case that water makes up about four percent of the oil sand by weight, then perfectionism becomes ingrained in the very fabric of a person's personality. We can assume that chromium has values. Provided that fruit has seeds, we know that if it is not the case that water makes up about four percent of the oil sand by weight, then the statement, perfectionism becomes ingrained in the very fabric of a person's personality, does not hold. Many people rightly believe that fruit has seeds.
|
It is a fact that either ivory poaching for tusks is the main reason that elephants have been so heavily hunted or rattlesnakes have (part) faces.
|
The claim that either ivory poaching for tusks is the main reason that elephants have been so heavily hunted or rattlesnakes have (part) faces has no merit.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Either [0] or [1].).). [SC1-2]
Not [3].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Modus Ponens:
If [7], then (Either [3] or (If [2], then (Either [0] or [1].).).).
[7]
Therefore, Either [3] or (If [2], then (Either [0] or [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [4]. [SC1-2]
If (Not [2].), then (Not [4].). [SC2-2]
Therefore, [2].
[SC1-2]
Modus Ponens:
If [6], then (If (Not [2].), then [4].).
[6]
Therefore, If (Not [2].), then [4]..
[SC2-2]
Modus Ponens:
If [5], then (If (Not [2].), then (Not [4].).).
[5]
Therefore, If (Not [2].), then (Not [4].)..
|
{0: 'Ivory poaching for tusks is the main reason that elephants have been so heavily hunted.', 1: 'Rattlesnakes have (part) faces.', 2: 'Water makes up about four percent of the oil sand by weight.', 3: 'Vegetation is very sparse, limiting the role of fire.', 4: "Perfectionism becomes ingrained in the very fabric of a person's personality.", 5: 'Fruit has seeds.', 6: 'Chromium has values.', 7: 'Radiation therapy is used to fight many types of cancer .'}
| 6 |
5,159 |
['Should it be the case that ovulation can occur before that first menstrual period, it follows that the claim that balance is used to find the mass of an object does not correspond with reality.', 'Assuming the statement, either conformation is balance or some bats feed on nectar, does not hold, we know that if aphids undergo reproduction, then tureens are use for soup and special bowls for salads.', "So long as the statement, either conformation is balance or some bats feed on nectar, does not hold, 'it is not true that if aphids undergo reproduction, then tureens are use for soup and special bowls for salads' is true.", "Whenever it is true that the claim that if conformation is balance, then ovulation can occur before that first menstrual period does not reflect reality, 'homeless shelters are clean and caring, providing nutritious food and genuine concern' is true.", 'Given that the claim that if conformation is balance, then ovulation can occur before that first menstrual period does not reflect reality, it can be inferred that the statement that states homeless shelters are clean and caring, providing nutritious food and genuine concern is false.', 'On the condition that crews have adventures, it is definitely the case that ovulation can occur before that first menstrual period.', "Whenever it is true that it is not true that if some bats feed on nectar, then crews have adventures, 'some insects feed on organs' is true.", 'Assuming it is not true that if some bats feed on nectar, then crews have adventures, we know that the statement that states some insects feed on organs is false.']
|
Should it be the case that ovulation can occur before that first menstrual period, it follows that the claim that balance is used to find the mass of an object does not correspond with reality. Assuming the statement, either conformation is balance or some bats feed on nectar, does not hold, we know that if aphids undergo reproduction, then tureens are use for soup and special bowls for salads. So long as the statement, either conformation is balance or some bats feed on nectar, does not hold, 'it is not true that if aphids undergo reproduction, then tureens are use for soup and special bowls for salads' is true. Whenever it is true that the claim that if conformation is balance, then ovulation can occur before that first menstrual period does not reflect reality, 'homeless shelters are clean and caring, providing nutritious food and genuine concern' is true. Given that the claim that if conformation is balance, then ovulation can occur before that first menstrual period does not reflect reality, it can be inferred that the statement that states homeless shelters are clean and caring, providing nutritious food and genuine concern is false. On the condition that crews have adventures, it is definitely the case that ovulation can occur before that first menstrual period. Whenever it is true that it is not true that if some bats feed on nectar, then crews have adventures, 'some insects feed on organs' is true. Assuming it is not true that if some bats feed on nectar, then crews have adventures, we know that the statement that states some insects feed on organs is false.
|
The claim that balance is used to find the mass of an object does not correspond with reality.
|
The statement, balance is a fact of life, does not hold.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (If [6], then [7].).
If (Not (Either [2] or [3].).), then (Not (If [6], then [7].).).
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [5].
If (Not (If [2], then [1].).), then (Not [5].).
Therefore, If [2], then [1]..
[SC3-2]
Hypothetical Syllogism:
If [3], then [4]. [SC1-3]
If [4], then [1].
Therefore, If [3], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [4].).), then [8].
If (Not (If [3], then [4].).), then (Not [8].).
Therefore, If [3], then [4]..
|
{0: 'Balance is used to find the mass of an object.', 1: 'Ovulation can occur before that first menstrual period.', 2: 'Conformation is balance.', 3: 'Some bats feed on nectar.', 4: 'Crews have adventures.', 5: 'Homeless shelters are clean and caring, providing nutritious food and genuine concern.', 6: 'Aphids undergo reproduction.', 7: 'Tureens are use for soup and special bowls for salads.', 8: 'Some insects feed on organs.'}
| 6 |
5,333 |
['We know that either sawyers are laborers or an eiderdown is down.', 'There is good reason to believe that either fasciculation is seen most clearly in muscles close to the surface of the skin or if sound pollution is pollution, then water runs downhill and stands in low places.', 'One may reasonably assume that if if sound pollution is pollution, then water runs downhill and stands in low places, then either biodiversity is the very fabric of our existence or if either sawyers are laborers or an eiderdown is down, then investigations reveal evidence.', 'When biodiversity is the very fabric of our existence is true, it follows that herbivores eat producers such as plants.', 'When social groups have a larger behavioral repertoire than less social populations is true, it follows that if fasciculation is seen most clearly in muscles close to the surface of the skin, then either biodiversity is the very fabric of our existence or if either sawyers are laborers or an eiderdown is down, then investigations reveal evidence.', 'We can assume that social groups have a larger behavioral repertoire than less social populations.', 'There is good reason to believe that either nightmares often follow a traumatic event such as bereavement, a disaster or a violent attack or it is not the case that herbivores eat producers such as plants.', 'We know that the claim that nightmares often follow a traumatic event such as bereavement, a disaster or a violent attack is false.']
|
We know that either sawyers are laborers or an eiderdown is down. There is good reason to believe that either fasciculation is seen most clearly in muscles close to the surface of the skin or if sound pollution is pollution, then water runs downhill and stands in low places. One may reasonably assume that if if sound pollution is pollution, then water runs downhill and stands in low places, then either biodiversity is the very fabric of our existence or if either sawyers are laborers or an eiderdown is down, then investigations reveal evidence. When biodiversity is the very fabric of our existence is true, it follows that herbivores eat producers such as plants. When social groups have a larger behavioral repertoire than less social populations is true, it follows that if fasciculation is seen most clearly in muscles close to the surface of the skin, then either biodiversity is the very fabric of our existence or if either sawyers are laborers or an eiderdown is down, then investigations reveal evidence. We can assume that social groups have a larger behavioral repertoire than less social populations. There is good reason to believe that either nightmares often follow a traumatic event such as bereavement, a disaster or a violent attack or it is not the case that herbivores eat producers such as plants. We know that the claim that nightmares often follow a traumatic event such as bereavement, a disaster or a violent attack is false.
|
Many people rightly believe that investigations reveal evidence.
|
Investigations lead officers.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [1] or [2].), then [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Either [3] or (If (Either [1] or [2].), then [0].).). [SC2-3]
If (If [6], then [7].), then (Either [3] or (If (Either [1] or [2].), then [0].).).
Therefore, Either [3] or (If (Either [1] or [2].), then [0].)..
[SC2-3]
Modus Ponens:
If [9], then (If [5], then (Either [3] or (If (Either [1] or [2].), then [0].).).).
[9]
Therefore, If [5], then (Either [3] or (If (Either [1] or [2].), then [0].).)..
[SC2-2]
Modus Tonens:
If [3], then [4].
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not [4].).
Not [8].
Therefore, Not [4]..
|
{0: 'Investigations reveal evidence.', 1: 'Sawyers are laborers.', 2: 'An eiderdown is down.', 3: 'Biodiversity is the very fabric of our existence.', 4: 'Herbivores eat producers such as plants.', 5: 'Fasciculation is seen most clearly in muscles close to the surface of the skin.', 6: 'Sound pollution is pollution.', 7: 'Water runs downhill and stands in low places.', 8: 'Nightmares often follow a traumatic event such as bereavement, a disaster or a violent attack.', 9: 'Social groups have a larger behavioral repertoire than less social populations.'}
| 6 |
5,837 |
["Given that the notion that 'managers become leaders' is untrue, it can be inferred that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it.", 'At least one of two things is true: either hostages have (part) personality or hydrochloric acid kills most of the bacteria that are swallowed in food, or sandflies can carry the disease agent from a variety of animals to humans.', 'One may reasonably assume that if either hostages have (part) personality or hydrochloric acid kills most of the bacteria that are swallowed in food, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it.', "On the condition that the notion that 'if some people mistakenly believe that if sandflies can carry the disease agent from a variety of animals to humans, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, then women represent one in three persons in the manufacturing workforce' is untrue, it is definitely the case that persian melons have orange flesh.", "If the statement, if some people mistakenly believe that if sandflies can carry the disease agent from a variety of animals to humans, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, then the statement that 'women represent one in three persons in the manufacturing workforce' is incorrect, does not hold, then hot spring is natural things.", 'It is not the case that hot spring is natural things.', 'At least one of two things is true: most frogs have protrude eyes, or ultraviolet radiation is the most common form of energy for most photochemical reactions.', 'When most frogs have protrude eyes is true, it follows that the claim that persian melons have orange flesh has no merit.', 'Provided that ultraviolet radiation is the most common form of energy for most photochemical reactions, we know that the claim that persian melons have orange flesh has no merit.']
|
Given that the notion that 'managers become leaders' is untrue, it can be inferred that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it. At least one of two things is true: either hostages have (part) personality or hydrochloric acid kills most of the bacteria that are swallowed in food, or sandflies can carry the disease agent from a variety of animals to humans. One may reasonably assume that if either hostages have (part) personality or hydrochloric acid kills most of the bacteria that are swallowed in food, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it. On the condition that the notion that 'if some people mistakenly believe that if sandflies can carry the disease agent from a variety of animals to humans, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, then women represent one in three persons in the manufacturing workforce' is untrue, it is definitely the case that persian melons have orange flesh. If the statement, if some people mistakenly believe that if sandflies can carry the disease agent from a variety of animals to humans, then it is not the case that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, then the statement that 'women represent one in three persons in the manufacturing workforce' is incorrect, does not hold, then hot spring is natural things. It is not the case that hot spring is natural things. At least one of two things is true: most frogs have protrude eyes, or ultraviolet radiation is the most common form of energy for most photochemical reactions. When most frogs have protrude eyes is true, it follows that the claim that persian melons have orange flesh has no merit. Provided that ultraviolet radiation is the most common form of energy for most photochemical reactions, we know that the claim that persian melons have orange flesh has no merit.
|
The claim that managers become leaders is true.
|
The claim that managers become leaders is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (Not [1].).
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [1].).).), then [5]. [SC1-3]
If (Not (If [4], then (Not [1].).).), then (Not [5].). [SC2-3]
Therefore, If [4], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [4], then (Not [1].).).), then [5].).), then [6].
Not [6]. [SC2-4]
Therefore, If (Not (If [4], then (Not [1].).).), then [5]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [6].).
If [9], then (Not [6].).
Therefore, Not [6]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [4], then (Not [1].).).), then (Not [5].).).), then [7].
Not [7].
Therefore, If (Not (If [4], then (Not [1].).).), then (Not [5].)..
|
{0: 'Managers become leaders.', 1: 'Hydrogenation solidifies the oil by pushing bubbles of hydrogen through it.', 2: 'Hostages have (part) personality.', 3: 'Hydrochloric acid kills most of the bacteria that are swallowed in food.', 4: 'Sandflies can carry the disease agent from a variety of animals to humans.', 5: 'Women represent one in three persons in the manufacturing workforce.', 6: 'Persian melons have orange flesh.', 7: 'Hot spring is natural things.', 8: 'Most frogs have protrude eyes.', 9: 'Ultraviolet radiation is the most common form of energy for most photochemical reactions.'}
| 6 |
5,474 |
['It is not the case that american yellowwood is spectacular in bloom.', 'Those that suggest photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner are right.', 'If johns have (part) walls, then if photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, then if some species never go into the current, then american yellowwood is spectacular in bloom.', 'It is a fact that either most street children have virtually no access to health care and community services or if digestion produces bile, then brain tumors are the leading cause of death from childhood cancer.', 'One may reasonably assume that if most street children have virtually no access to health care and community services, then either if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis or johns have (part) walls.', "Whenever it is true that if digestion produces bile, then brain tumors are the leading cause of death from childhood cancer, 'either if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis or johns have (part) walls' is true.", 'If if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis, then skin loses elasticity and becomes thinner with age, resulting in sagging and wrinkling.', 'One may reasonably assume that if skin loses elasticity and becomes thinner with age, resulting in sagging and wrinkling, then scalars can have units, and perhaps an algebraic sign, but no direction.', 'When scalars can have units, and perhaps an algebraic sign, but no direction is true, it follows that if photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, then if some species never go into the current, then american yellowwood is spectacular in bloom.']
|
It is not the case that american yellowwood is spectacular in bloom. Those that suggest photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner are right. If johns have (part) walls, then if photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, then if some species never go into the current, then american yellowwood is spectacular in bloom. It is a fact that either most street children have virtually no access to health care and community services or if digestion produces bile, then brain tumors are the leading cause of death from childhood cancer. One may reasonably assume that if most street children have virtually no access to health care and community services, then either if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis or johns have (part) walls. Whenever it is true that if digestion produces bile, then brain tumors are the leading cause of death from childhood cancer, 'either if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis or johns have (part) walls' is true. If if wages rise during gang wars, supporting the economic concept of compensating differentials, then golf carts are mode of transportation to beach and tennis, then skin loses elasticity and becomes thinner with age, resulting in sagging and wrinkling. One may reasonably assume that if skin loses elasticity and becomes thinner with age, resulting in sagging and wrinkling, then scalars can have units, and perhaps an algebraic sign, but no direction. When scalars can have units, and perhaps an algebraic sign, but no direction is true, it follows that if photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, then if some species never go into the current, then american yellowwood is spectacular in bloom.
|
The claim that some species never go into the current has no merit.
|
The claim that some species never go into the current has no merit.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-2]
[2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-3]
If (If [3], then [4].), then (If [2], then (If [0], then [1].).). [SC2-3]
If [5], then (If [2], then (If [0], then [1].).).
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Either (If [3], then [4].) or [5].).
If (If [7], then [8].), then (Either (If [3], then [4].) or [5].).
Therefore, Either (If [3], then [4].) or [5]..
[SC2-3]
Hypothetical Syllogism:
If (If [3], then [4].), then [9].
If [9], then (If [2], then (If [0], then [1].).). [SC2-4]
Therefore, If (If [3], then [4].), then (If [2], then (If [0], then [1].).)..
[SC2-4]
Hypothetical Syllogism:
If [9], then [10].
If [10], then (If [2], then (If [0], then [1].).).
Therefore, If [9], then (If [2], then (If [0], then [1].).)..
|
{0: 'Some species never go into the current.', 1: 'American yellowwood is spectacular in bloom.', 2: 'Photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner.', 3: 'Wages rise during gang wars, supporting the economic concept of compensating differentials.', 4: 'Golf carts are mode of transportation to beach and tennis.', 5: 'Johns have (part) walls.', 6: 'Most street children have virtually no access to health care and community services.', 7: 'Digestion produces bile.', 8: 'Brain tumors are the leading cause of death from childhood cancer.', 9: 'Skin loses elasticity and becomes thinner with age, resulting in sagging and wrinkling.', 10: 'Scalars can have units, and perhaps an algebraic sign, but no direction.'}
| 6 |
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