id
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| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
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stringlengths 54
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stringlengths 51
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6,105 |
["So long as aerodynamic missiles are of four types, 'unilateral quality is the characteristic that distinguishes migraine from other types of headache' is true.", "So long as unilateral quality is the characteristic that distinguishes migraine from other types of headache, 'iCG dye is removed from the body by the liver, and no color changes are noticed' is true.", 'It is a simple truth that most lamps generate heat.', "Given that magnesium therapy improves functions, it can be inferred that if the notion that 'if most lamps generate heat, then aerodynamic missiles are of four types' is untrue, then either streams flow into streams or most prehistoric animals have growth.", 'At least one of two things is true: plant raspberries in well drained soils or on raised beds, or if some animals are located in Africa, then salt is located in mines.', 'Once we know plant raspberries in well drained soils or on raised beds, we also know that it is a common misconception that either streams flow into streams or most prehistoric animals have growth.', 'If if some animals are located in Africa, then salt is located in mines, then it is a common misconception that either streams flow into streams or most prehistoric animals have growth.', 'When either immunizations are critically important for the continued health of all children or most water passes through mouths is true, it follows that magnesium therapy improves functions.', 'There is good reason to believe that either immunizations are critically important for the continued health of all children or most water passes through mouths.']
|
So long as aerodynamic missiles are of four types, 'unilateral quality is the characteristic that distinguishes migraine from other types of headache' is true. So long as unilateral quality is the characteristic that distinguishes migraine from other types of headache, 'iCG dye is removed from the body by the liver, and no color changes are noticed' is true. It is a simple truth that most lamps generate heat. Given that magnesium therapy improves functions, it can be inferred that if the notion that 'if most lamps generate heat, then aerodynamic missiles are of four types' is untrue, then either streams flow into streams or most prehistoric animals have growth. At least one of two things is true: plant raspberries in well drained soils or on raised beds, or if some animals are located in Africa, then salt is located in mines. Once we know plant raspberries in well drained soils or on raised beds, we also know that it is a common misconception that either streams flow into streams or most prehistoric animals have growth. If if some animals are located in Africa, then salt is located in mines, then it is a common misconception that either streams flow into streams or most prehistoric animals have growth. When either immunizations are critically important for the continued health of all children or most water passes through mouths is true, it follows that magnesium therapy improves functions. There is good reason to believe that either immunizations are critically important for the continued health of all children or most water passes through mouths.
|
The claim that iCG dye is removed from the body by the liver, and no color changes are noticed holds true.
|
ICG dye contains iodine.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [0].
Therefore, If [1], then [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 [4] or [5].). [SC1-3]
Not (Either [4] or [5].). [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Modus Ponens:
If [9], then (If (Not (If [2], then [1].).), then (Either [4] or [5].).).
[9] [SC2-4]
Therefore, If (Not (If [2], then [1].).), then (Either [4] or [5].)..
[SC2-4]
Modus Ponens:
If (Either [10] or [11].), then [9].
Either [10] or [11].
Therefore, [9].
[SC2-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Not (Either [4] or [5].).).
If (If [7], then [8].), then (Not (Either [4] or [5].).).
Therefore, Not (Either [4] or [5].)..
|
{0: 'ICG dye is removed from the body by the liver, and no color changes are noticed.', 1: 'Aerodynamic missiles are of four types.', 2: 'Most lamps generate heat.', 3: 'Unilateral quality is the characteristic that distinguishes migraine from other types of headache.', 4: 'Streams flow into streams.', 5: 'Most prehistoric animals have growth.', 6: 'Plant raspberries in well drained soils or on raised beds.', 7: 'Some animals are located in Africa.', 8: 'Salt is located in mines.', 9: 'Magnesium therapy improves functions.', 10: 'Immunizations are critically important for the continued health of all children.', 11: 'Most water passes through mouths.'}
| 7 |
6,068 |
['We know that at least one of two things is true: most safety glasses protect against particles coming from in front of the face, or enzymes are in green.', 'There is good reason to believe that either most libraries have books with large print or either all isotopes of einsteinium are radioactive or it is not true that most safety glasses protect against particles coming from in front of the face.', 'Given that all isotopes of einsteinium are radioactive, it can be inferred that octopuses have one of the stranger and more poignant mating and breeding sagas.', 'We know that the claim that octopuses have one of the stranger and more poignant mating and breeding sagas is false.', "We know that at least one of two things is true: tiger muskellunge are important game fish actively sought by many anglers, or the notion that 'most libraries have books with large print' is untrue.", 'At least one of two things is true: most dolphins has-part jaws, or either electronic mail is a service provided by the system or tornadoes come from severe thunderstorms that are rotating.', "When either electronic mail is a service provided by the system or tornadoes come from severe thunderstorms that are rotating is true, it follows that the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect.", 'It is rational to believe that either rectors have (part) cells or english bulldogs have coats.', "When rectors have (part) cells is true, it follows that if most dolphins has-part jaws, then the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect.", "If english bulldogs have coats, then if most dolphins has-part jaws, then the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect."]
|
We know that at least one of two things is true: most safety glasses protect against particles coming from in front of the face, or enzymes are in green. There is good reason to believe that either most libraries have books with large print or either all isotopes of einsteinium are radioactive or it is not true that most safety glasses protect against particles coming from in front of the face. Given that all isotopes of einsteinium are radioactive, it can be inferred that octopuses have one of the stranger and more poignant mating and breeding sagas. We know that the claim that octopuses have one of the stranger and more poignant mating and breeding sagas is false. We know that at least one of two things is true: tiger muskellunge are important game fish actively sought by many anglers, or the notion that 'most libraries have books with large print' is untrue. At least one of two things is true: most dolphins has-part jaws, or either electronic mail is a service provided by the system or tornadoes come from severe thunderstorms that are rotating. When either electronic mail is a service provided by the system or tornadoes come from severe thunderstorms that are rotating is true, it follows that the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect. It is rational to believe that either rectors have (part) cells or english bulldogs have coats. When rectors have (part) cells is true, it follows that if most dolphins has-part jaws, then the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect. If english bulldogs have coats, then if most dolphins has-part jaws, then the statement that 'tiger muskellunge are important game fish actively sought by many anglers' is incorrect.
|
It is rational to agree that enzymes are in green.
|
It is rational to agree that enzymes are in green.
|
TRUE
|
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]
Disjunctive Syllogism:
Either [4] or (Either [2] or (Not [1].).).
Not [4]. [SC2-3]
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5]. [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (Not [5].). [SC2-5]
If (Either [7] or [8].), then (Not [5].).
Therefore, Not [5]..
[SC2-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [6], then (Not [5].).).
If [10], then (If [6], then (Not [5].).).
Therefore, If [6], then (Not [5].)..
[SC2-2]
Modus Tonens:
If [2], then [3].
Not [3].
Therefore, Not [2]..
|
{0: 'Enzymes are in green.', 1: 'Most safety glasses protect against particles coming from in front of the face.', 2: 'All isotopes of einsteinium are radioactive.', 3: 'Octopuses have one of the stranger and more poignant mating and breeding sagas.', 4: 'Most libraries have books with large print.', 5: 'Tiger muskellunge are important game fish actively sought by many anglers.', 6: 'Most dolphins has-part jaws.', 7: 'Electronic mail is a service provided by the system.', 8: 'Tornadoes come from severe thunderstorms that are rotating.', 9: 'Rectors have (part) cells.', 10: 'English bulldogs have coats.'}
| 7 |
6,479 |
['On the condition that food requires preparation, it is definitely the case that mites are very susceptible to environmental conditions, particularly temperature and rainfall.', "Either one or both of these statements are true: snows are sepia's or seal points, or bosses have (part) arms.", "One may reasonably assume that if snows are sepia's or seal points, then large numbers are inflationary.", "So long as bosses have (part) arms, 'either angwantibos have (part) skulls or food requires preparation' is true.", 'Either one or both of these statements are true: many bulimics report that they have trouble feeling full, unless they eat large amounts of food, or either sieridium canker is a serious disease, occurring on Oriental arborvitae throughout Kansas or researchers determine effectiveness.', 'Provided that many bulimics report that they have trouble feeling full, unless they eat large amounts of food, we know that the claim that large numbers are inflationary does not correspond with reality.', 'Given that either sieridium canker is a serious disease, occurring on Oriental arborvitae throughout Kansas or researchers determine effectiveness, it can be inferred that the claim that large numbers are inflationary does not correspond with reality.', 'One may reasonably assume that if some people mistakenly believe that if technology is an increasingly integral part of education today, then if angwantibos have (part) skulls, then mites are very susceptible to environmental conditions, particularly temperature and rainfall, then some exogenous factors affect properties.', 'The statement, some exogenous factors affect properties, does not hold.', 'When the statement that states technology is an increasingly integral part of education today is false is true, it follows that political opposition can lead to problems and barriers.', 'When the statement that states technology is an increasingly integral part of education today is false is true, it follows that the claim that political opposition can lead to problems and barriers does not reflect reality.']
|
On the condition that food requires preparation, it is definitely the case that mites are very susceptible to environmental conditions, particularly temperature and rainfall. Either one or both of these statements are true: snows are sepia's or seal points, or bosses have (part) arms. One may reasonably assume that if snows are sepia's or seal points, then large numbers are inflationary. So long as bosses have (part) arms, 'either angwantibos have (part) skulls or food requires preparation' is true. Either one or both of these statements are true: many bulimics report that they have trouble feeling full, unless they eat large amounts of food, or either sieridium canker is a serious disease, occurring on Oriental arborvitae throughout Kansas or researchers determine effectiveness. Provided that many bulimics report that they have trouble feeling full, unless they eat large amounts of food, we know that the claim that large numbers are inflationary does not correspond with reality. Given that either sieridium canker is a serious disease, occurring on Oriental arborvitae throughout Kansas or researchers determine effectiveness, it can be inferred that the claim that large numbers are inflationary does not correspond with reality. One may reasonably assume that if some people mistakenly believe that if technology is an increasingly integral part of education today, then if angwantibos have (part) skulls, then mites are very susceptible to environmental conditions, particularly temperature and rainfall, then some exogenous factors affect properties. The statement, some exogenous factors affect properties, does not hold. When the statement that states technology is an increasingly integral part of education today is false is true, it follows that political opposition can lead to problems and barriers. When the statement that states technology is an increasingly integral part of education today is false is true, it follows that the claim that political opposition can lead to problems and barriers does not reflect reality.
|
The statement 'mites are very susceptible to environmental conditions, particularly temperature and rainfall' can be considered true.
|
The statement 'mites are very susceptible to environmental conditions, particularly temperature and rainfall' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Constructive Dilemma:
Either [8] or [9].
If [8], then [3].
If [9], then (Either [1] or [2].).
Therefore, Either [3] or (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Not [3].).
If (Either [6] or [7].), then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].). [SC1-2]
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [4], then (If [1], then [0].).).), then [11].
Not [11].
Therefore, If [4], then (If [1], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [10].
If (Not [4].), then (Not [10].).
Therefore, [4].
|
{0: 'Mites are very susceptible to environmental conditions, particularly temperature and rainfall.', 1: 'Angwantibos have (part) skulls.', 2: 'Food requires preparation.', 3: 'Large numbers are inflationary.', 4: 'Technology is an increasingly integral part of education today.', 5: 'Many bulimics report that they have trouble feeling full, unless they eat large amounts of food.', 6: 'Sieridium canker is a serious disease, occurring on Oriental arborvitae throughout Kansas.', 7: 'Researchers determine effectiveness.', 8: "Snows are sepia's or seal points.", 9: 'Bosses have (part) arms.', 10: 'Political opposition can lead to problems and barriers.', 11: 'Some exogenous factors affect properties.'}
| 7 |
6,399 |
["The statement that 'chinese acupressure teaches that training the fingertips can weaken the eyes' is incorrect.", 'We know that either waterfalls are temporary base levels caused by strong erosion resistant rocks or if melanomas have a tendency to develop around the ear, foot, or base of the tail, then some tadpoles eat mosquitoes.', 'Once we know if melanomas have a tendency to develop around the ear, foot, or base of the tail, then some tadpoles eat mosquitoes, we also know that if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes.', 'On the condition that some voles prefer habitats, it is definitely the case that if waterfalls are temporary base levels caused by strong erosion resistant rocks, then if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes.', 'We know that at least one of two things is true: progress leads to important insight, or vines can bloom in spring, summer, or fall.', 'Assuming progress leads to important insight, we know that malls are used for shopping.', 'Assuming car racing is also popular in France, we know that some salmon have spots.', 'One may reasonably assume that if the claim that if vines can bloom in spring, summer, or fall, then some voles prefer habitats does not reflect reality, then bacteria can multiply dangerously in the outer layers before inner areas are thawed.', 'Once we know the claim that if vines can bloom in spring, summer, or fall, then some voles prefer habitats does not reflect reality, we also know that the claim that bacteria can multiply dangerously in the outer layers before inner areas are thawed is false.', 'Given that some people mistakenly believe that if if car racing is also popular in France, then some salmon have spots, then if malls are used for shopping, then if waterfalls are temporary base levels caused by strong erosion resistant rocks, then if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes, it can be inferred that money is a form of energy.', 'The statement, money is a form of energy, does not hold.']
|
The statement that 'chinese acupressure teaches that training the fingertips can weaken the eyes' is incorrect. We know that either waterfalls are temporary base levels caused by strong erosion resistant rocks or if melanomas have a tendency to develop around the ear, foot, or base of the tail, then some tadpoles eat mosquitoes. Once we know if melanomas have a tendency to develop around the ear, foot, or base of the tail, then some tadpoles eat mosquitoes, we also know that if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes. On the condition that some voles prefer habitats, it is definitely the case that if waterfalls are temporary base levels caused by strong erosion resistant rocks, then if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes. We know that at least one of two things is true: progress leads to important insight, or vines can bloom in spring, summer, or fall. Assuming progress leads to important insight, we know that malls are used for shopping. Assuming car racing is also popular in France, we know that some salmon have spots. One may reasonably assume that if the claim that if vines can bloom in spring, summer, or fall, then some voles prefer habitats does not reflect reality, then bacteria can multiply dangerously in the outer layers before inner areas are thawed. Once we know the claim that if vines can bloom in spring, summer, or fall, then some voles prefer habitats does not reflect reality, we also know that the claim that bacteria can multiply dangerously in the outer layers before inner areas are thawed is false. Given that some people mistakenly believe that if if car racing is also popular in France, then some salmon have spots, then if malls are used for shopping, then if waterfalls are temporary base levels caused by strong erosion resistant rocks, then if oxygen is elements, then chinese acupressure teaches that training the fingertips can weaken the eyes, it can be inferred that money is a form of energy. The statement, money is a form of energy, does not hold.
|
The claim that oxygen is elements does not reflect reality.
|
The claim that oxygen is elements does not reflect reality.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (If [0], then [1].). [SC2-2]
If (If [3], then [4].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [2], then (If [0], then [1].).). [SC2-3]
If [6], then (If [2], then (If [0], then [1].).).
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5].
If [8], then [6]. [SC3-4]
Therefore, Either [5] or [6]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [8], then [6].).), then [11].
If (Not (If [8], then [6].).), then (Not [11].).
Therefore, If [8], then [6]..
[SC2-3]
Modus Ponens:
If (If [9], then [10].), then (If [5], then (If [2], then (If [0], then [1].).).). [SC1-4]
If [9], then [10].
Therefore, If [5], then (If [2], then (If [0], then [1].).)..
[SC1-4]
Modus Tonens:
If (Not (If (If [9], then [10].), then (If [5], then (If [2], then (If [0], then [1].).).).).), then [12].
Not [12].
Therefore, If (If [9], then [10].), then (If [5], then (If [2], then (If [0], then [1].).).)..
|
{0: 'Oxygen is elements.', 1: 'Chinese acupressure teaches that training the fingertips can weaken the eyes.', 2: 'Waterfalls are temporary base levels caused by strong erosion resistant rocks.', 3: 'Melanomas have a tendency to develop around the ear, foot, or base of the tail.', 4: 'Some tadpoles eat mosquitoes.', 5: 'Malls are used for shopping.', 6: 'Some voles prefer habitats.', 7: 'Progress leads to important insight.', 8: 'Vines can bloom in spring, summer, or fall.', 9: 'Car racing is also popular in France.', 10: 'Some salmon have spots.', 11: 'Bacteria can multiply dangerously in the outer layers before inner areas are thawed.', 12: 'Money is a form of energy.'}
| 7 |
6,434 |
['Once we know pigs are very fond of eating acorns from the woodland oaks, we also know that we know that the claim that either identive aggression is unconscious, a manifesting of being or a works council is a council is false.', 'Many people rightly believe that pigs are very fond of eating acorns from the woodland oaks.', 'It is rational to believe that either most fleas develop into adults or symptomatic individuals have a mucopurulent discharge from the urethra or cervix.', 'Once we know most fleas develop into adults, we also know that current law limits optometrists to the use of topical pharmaceutical agents.', 'Should it be the case that symptomatic individuals have a mucopurulent discharge from the urethra or cervix, it follows that alignment is a measure of the rectilinear characteristics of a transportation route.', 'There is good reason to believe that either bacillus pseudomycoides sp or if current law limits optometrists to the use of topical pharmaceutical agents, then either either identive aggression is unconscious, a manifesting of being or a works council is a council or the claim that children go through stages when they are more lovable, and stages when they are less lovable is false.', 'Those that suggest bacillus pseudomycoides sp are wrong.', 'The statement, spectrometers are used in spectroscopic analysis to identify materials, does not hold.', 'Assuming most cones have diameters, we know that if the claim that if alignment is a measure of the rectilinear characteristics of a transportation route, then either either identive aggression is unconscious, a manifesting of being or a works council is a council or the claim that children go through stages when they are more lovable, and stages when they are less lovable is false is false, then spectrometers are used in spectroscopic analysis to identify materials.', 'The idea that most cones have diameters is true.']
|
Once we know pigs are very fond of eating acorns from the woodland oaks, we also know that we know that the claim that either identive aggression is unconscious, a manifesting of being or a works council is a council is false. Many people rightly believe that pigs are very fond of eating acorns from the woodland oaks. It is rational to believe that either most fleas develop into adults or symptomatic individuals have a mucopurulent discharge from the urethra or cervix. Once we know most fleas develop into adults, we also know that current law limits optometrists to the use of topical pharmaceutical agents. Should it be the case that symptomatic individuals have a mucopurulent discharge from the urethra or cervix, it follows that alignment is a measure of the rectilinear characteristics of a transportation route. There is good reason to believe that either bacillus pseudomycoides sp or if current law limits optometrists to the use of topical pharmaceutical agents, then either either identive aggression is unconscious, a manifesting of being or a works council is a council or the claim that children go through stages when they are more lovable, and stages when they are less lovable is false. Those that suggest bacillus pseudomycoides sp are wrong. The statement, spectrometers are used in spectroscopic analysis to identify materials, does not hold. Assuming most cones have diameters, we know that if the claim that if alignment is a measure of the rectilinear characteristics of a transportation route, then either either identive aggression is unconscious, a manifesting of being or a works council is a council or the claim that children go through stages when they are more lovable, and stages when they are less lovable is false is false, then spectrometers are used in spectroscopic analysis to identify materials. The idea that most cones have diameters is true.
|
The claim that children go through stages when they are more lovable, and stages when they are less lovable is false.
|
It is not true that children fall from trees, ladders, roofs and other high places every day.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either (Either [1] or [2].) or (Not [0].).). [SC2-2]
If [5], then (Either (Either [1] or [2].) or (Not [0].).). [SC3-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then [4].
If [7], then [5].
Therefore, Either [4] or [5]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If [4], then (Either (Either [1] or [2].) or (Not [0].).).).
Not [9].
Therefore, If [4], then (Either (Either [1] or [2].) or (Not [0].).)..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (Either (Either [1] or [2].) or (Not [0].).).).), then [8]. [SC1-3]
Not [8].
Therefore, If [5], then (Either (Either [1] or [2].) or (Not [0].).)..
[SC1-3]
Modus Ponens:
If [10], then (If (Not (If [5], then (Either (Either [1] or [2].) or (Not [0].).).).), then [8].).
[10]
Therefore, If (Not (If [5], then (Either (Either [1] or [2].) or (Not [0].).).).), then [8]..
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).).
[3]
Therefore, Not (Either [1] or [2].)..
|
{0: 'Children go through stages when they are more lovable, and stages when they are less lovable.', 1: 'Identive aggression is unconscious, a manifesting of being.', 2: 'A works council is a council.', 3: 'Pigs are very fond of eating acorns from the woodland oaks.', 4: 'Current law limits optometrists to the use of topical pharmaceutical agents.', 5: 'Alignment is a measure of the rectilinear characteristics of a transportation route.', 6: 'Most fleas develop into adults.', 7: 'Symptomatic individuals have a mucopurulent discharge from the urethra or cervix.', 8: 'Spectrometers are used in spectroscopic analysis to identify materials.', 9: 'Bacillus pseudomycoides sp.', 10: 'Most cones have diameters.'}
| 7 |
6,258 |
['It is a common misconception that play cards start with deals.', 'It is a fact that either geologists have (part) personality or either play cards start with deals or we know that the claim that projectile points are usually bi-facial, a term which refers to two cutting edges is false.', 'At least one of two things is true: if some entomologies use evidence, then righteousness always points in two directions, or soldiers are located in trenchs.', 'We know that the claim that if some entomologies use evidence, then righteousness always points in two directions is false.', "On the condition that it is not true that if some people mistakenly believe that if soldiers are located in trenchs, then the statement 'geologists have (part) personality' can be considered false, then brain coordinates movement of muscles and organs, it is definitely the case that anthrax comes out high on everyone's list because the spore form of the organism is so very stable.", "The statement, anthrax comes out high on everyone's list because the spore form of the organism is so very stable, does not hold.", "We know that at least one of two things is true: some hypotheses assume photosynthesis, or if some people mistakenly believe that if soldiers are located in trenchs, then the statement 'geologists have (part) personality' can be considered false, then the claim that brain coordinates movement of muscles and organs does not reflect reality.", 'It is not true that some hypotheses assume photosynthesis.']
|
It is a common misconception that play cards start with deals. It is a fact that either geologists have (part) personality or either play cards start with deals or we know that the claim that projectile points are usually bi-facial, a term which refers to two cutting edges is false. At least one of two things is true: if some entomologies use evidence, then righteousness always points in two directions, or soldiers are located in trenchs. We know that the claim that if some entomologies use evidence, then righteousness always points in two directions is false. On the condition that it is not true that if some people mistakenly believe that if soldiers are located in trenchs, then the statement 'geologists have (part) personality' can be considered false, then brain coordinates movement of muscles and organs, it is definitely the case that anthrax comes out high on everyone's list because the spore form of the organism is so very stable. The statement, anthrax comes out high on everyone's list because the spore form of the organism is so very stable, does not hold. We know that at least one of two things is true: some hypotheses assume photosynthesis, or if some people mistakenly believe that if soldiers are located in trenchs, then the statement 'geologists have (part) personality' can be considered false, then the claim that brain coordinates movement of muscles and organs does not reflect reality. It is not true that some hypotheses assume photosynthesis.
|
We know that the claim that projectile points are usually bi-facial, a term which refers to two cutting edges is false.
|
We know that the claim that projectile points are usually bi-facial, a term which refers to two cutting edges is false.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or (Not [0].).).
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [2].).).), then [4]. [SC1-4]
If (Not (If [3], then (Not [2].).).), then (Not [4].). [SC2-4]
Therefore, If [3], then (Not [2].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [3], then (Not [2].).).), then [4].).), then [7].
Not [7].
Therefore, If (Not (If [3], then (Not [2].).).), then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (If (Not (If [3], then (Not [2].).).), then (Not [4].).).
Not [8].
Therefore, If (Not (If [3], then (Not [2].).).), then (Not [4].)..
[SC2-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or [3].
Not (If [5], then [6].).
Therefore, [3].
|
{0: 'Projectile points are usually bi-facial, a term which refers to two cutting edges.', 1: 'Play cards start with deals.', 2: 'Geologists have (part) personality.', 3: 'Soldiers are located in trenchs.', 4: 'Brain coordinates movement of muscles and organs.', 5: 'Some entomologies use evidence.', 6: 'Righteousness always points in two directions.', 7: "Anthrax comes out high on everyone's list because the spore form of the organism is so very stable.", 8: 'Some hypotheses assume photosynthesis.'}
| 7 |
6,827 |
['When the claim that either blue crabs have a place of importance in the ecosystem or the claim that cats love to graze is false does not reflect reality is true, it follows that infant mortality is most meaningful when looked at over decades.', 'The claim that infant mortality is most meaningful when looked at over decades does not reflect reality.', 'The statement, either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability, does not hold.', 'Those that suggest degradation is faster in the presence of sediments, and is faster in fresh water than in salt water are wrong.', "Given that the notion that 'either degradation is faster in the presence of sediments, and is faster in fresh water than in salt water or if blue crabs have a place of importance in the ecosystem, then either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability' is untrue, it can be inferred that the statement that 'age does affect memory' is incorrect.", 'When dogs are capable of licking their own private parts is true, it follows that age does affect memory.', "It is a fact that either most storms drive current or if the notion that 'either degradation is faster in the presence of sediments, and is faster in fresh water than in salt water or if blue crabs have a place of importance in the ecosystem, then either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability' is untrue, then dogs are capable of licking their own private parts.", 'It is not true that most storms drive current.']
|
When the claim that either blue crabs have a place of importance in the ecosystem or the claim that cats love to graze is false does not reflect reality is true, it follows that infant mortality is most meaningful when looked at over decades. The claim that infant mortality is most meaningful when looked at over decades does not reflect reality. The statement, either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability, does not hold. Those that suggest degradation is faster in the presence of sediments, and is faster in fresh water than in salt water are wrong. Given that the notion that 'either degradation is faster in the presence of sediments, and is faster in fresh water than in salt water or if blue crabs have a place of importance in the ecosystem, then either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability' is untrue, it can be inferred that the statement that 'age does affect memory' is incorrect. When dogs are capable of licking their own private parts is true, it follows that age does affect memory. It is a fact that either most storms drive current or if the notion that 'either degradation is faster in the presence of sediments, and is faster in fresh water than in salt water or if blue crabs have a place of importance in the ecosystem, then either panda bears are endangered because of human encroachment into their habitat or subatomic activity is governed by quantum rules that operate according to chance and probability' is untrue, then dogs are capable of licking their own private parts. It is not true that most storms drive current.
|
The claim that cats love to graze is false.
|
The claim that cats love to graze is false.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2].
Therefore, Either [1] or (Not [0].)..
[SC2-1]
Modus Tonens:
If [1], then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Either [3] or [4].).). [SC1-3]
Not [5].
Therefore, If [1], then (Either [3] or [4].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6]. [SC1-4]
If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then (Not [6].).
Therefore, Either [5] or (If [1], then (Either [3] or [4].).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [7]. [SC1-5]
If [7], then [6].
Therefore, If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6]..
[SC1-5]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [7].).
Not [8].
Therefore, If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [7]..
|
{0: 'Cats love to graze.', 1: 'Blue crabs have a place of importance in the ecosystem.', 2: 'Infant mortality is most meaningful when looked at over decades.', 3: 'Panda bears are endangered because of human encroachment into their habitat.', 4: 'Subatomic activity is governed by quantum rules that operate according to chance and probability.', 5: 'Degradation is faster in the presence of sediments, and is faster in fresh water than in salt water.', 6: 'Age does affect memory.', 7: 'Dogs are capable of licking their own private parts.', 8: 'Most storms drive current.'}
| 7 |
6,884 |
['Some people mistakenly believe that ozone is produced from medical grade oxygen using a machine called an ozone generator.', 'When the statement, if some people mistakenly believe that ingenuity is how man survives, then ozone is produced from medical grade oxygen using a machine called an ozone generator, does not hold is true, it follows that africanized bees build in exposed locations more frequently than do European bees.', 'Should it be the case that some people mistakenly believe that if africanized bees build in exposed locations more frequently than do European bees, then compression is an industry yardstick that measures the hardness of the ball, it follows that the statement that states vesicles fill with fluid is false.', 'Should it be the case that the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, it follows that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities.', 'If capitalism makes for free trade, free markets, limited governmental power, and peace, then if some people mistakenly believe that if africanized bees build in exposed locations more frequently than do European bees, then compression is an industry yardstick that measures the hardness of the ball, then vesicles fill with fluid.', 'The claim that capitalism makes for free trade, free markets, limited governmental power, and peace is true.', 'It is a fact that either armyworms are caterpillars or utensils are located in drawers.', 'If armyworms are caterpillars, then if the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, then the claim that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities does not reflect reality.', 'If utensils are located in drawers, then if the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, then the claim that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities does not reflect reality.']
|
Some people mistakenly believe that ozone is produced from medical grade oxygen using a machine called an ozone generator. When the statement, if some people mistakenly believe that ingenuity is how man survives, then ozone is produced from medical grade oxygen using a machine called an ozone generator, does not hold is true, it follows that africanized bees build in exposed locations more frequently than do European bees. Should it be the case that some people mistakenly believe that if africanized bees build in exposed locations more frequently than do European bees, then compression is an industry yardstick that measures the hardness of the ball, it follows that the statement that states vesicles fill with fluid is false. Should it be the case that the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, it follows that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities. If capitalism makes for free trade, free markets, limited governmental power, and peace, then if some people mistakenly believe that if africanized bees build in exposed locations more frequently than do European bees, then compression is an industry yardstick that measures the hardness of the ball, then vesicles fill with fluid. The claim that capitalism makes for free trade, free markets, limited governmental power, and peace is true. It is a fact that either armyworms are caterpillars or utensils are located in drawers. If armyworms are caterpillars, then if the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, then the claim that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities does not reflect reality. If utensils are located in drawers, then if the claim that if africanized bees build in exposed locations more frequently than do European bees, then the statement, compression is an industry yardstick that measures the hardness of the ball, does not hold does not reflect reality, then the claim that if wagtails have (part) flight feathers, then current ratio is calculated by dividing current assets by current liabilities does not reflect reality.
|
The statement 'ingenuity is how man survives' is true.
|
The statement 'ingenuity is how man survives' is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-3]
If [2], then (Not [3].). [SC2-3]
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [4]. [SC1-4]
If (Not (If [2], then [3].).), then (Not [4].).
Therefore, If [2], then [3]..
[SC1-4]
Modus Ponens:
If [7], then (If (Not (If [2], then [3].).), then [4].).
[7]
Therefore, If (Not (If [2], then [3].).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [3].).).), then (If [5], then [6].).
If (Not (If [2], then (Not [3].).).), then (Not (If [5], then [6].).). [SC2-4]
Therefore, If [2], then (Not [3].)..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If [2], then (Not [3].).).), then (Not (If [5], then [6].).).).
If [9], then (If (Not (If [2], then (Not [3].).).), then (Not (If [5], then [6].).).).
Therefore, If (Not (If [2], then (Not [3].).).), then (Not (If [5], then [6].).)..
|
{0: 'Ingenuity is how man survives.', 1: 'Ozone is produced from medical grade oxygen using a machine called an ozone generator.', 2: 'Africanized bees build in exposed locations more frequently than do European bees.', 3: 'Compression is an industry yardstick that measures the hardness of the ball.', 4: 'Vesicles fill with fluid.', 5: 'Wagtails have (part) flight feathers.', 6: 'Current ratio is calculated by dividing current assets by current liabilities.', 7: 'Capitalism makes for free trade, free markets, limited governmental power, and peace.', 8: 'Armyworms are caterpillars.', 9: 'Utensils are located in drawers.'}
| 7 |
6,304 |
['We know that at least one of two things is true: either physicians recommend use or infant mortality is the highest in the hemisphere, or if the statement that states women tend to have the edge over men in cultivating long-term relationships is false, then spider is a soft shell crab delicacy.', 'Provided that the statement that states women tend to have the edge over men in cultivating long-term relationships is false, we know that some peccaries have snouts.', "Whenever it is true that some peccaries have snouts, 'it is not the case that spider is a soft shell crab delicacy' is true.", "So long as houses come in many different shapes and sizes, 'the statement that 'either physicians recommend use or infant mortality is the highest in the hemisphere' is incorrect' is true.", "Should it be the case that some glands stimulate synthesis, it follows that the statement that 'either physicians recommend use or infant mortality is the highest in the hemisphere' is incorrect.", 'We know that either habitats offer adequate food or if some people mistakenly believe that either houses come in many different shapes and sizes or some glands stimulate synthesis, then individuals produce fertile offspring.', 'Some people mistakenly believe that habitats offer adequate food.', 'One may reasonably assume that if individuals produce fertile offspring, then many spoken languages have no written form .', "So long as individuals produce fertile offspring, 'it is not true that many spoken languages have no written form ' is true."]
|
We know that at least one of two things is true: either physicians recommend use or infant mortality is the highest in the hemisphere, or if the statement that states women tend to have the edge over men in cultivating long-term relationships is false, then spider is a soft shell crab delicacy. Provided that the statement that states women tend to have the edge over men in cultivating long-term relationships is false, we know that some peccaries have snouts. Whenever it is true that some peccaries have snouts, 'it is not the case that spider is a soft shell crab delicacy' is true. So long as houses come in many different shapes and sizes, 'the statement that 'either physicians recommend use or infant mortality is the highest in the hemisphere' is incorrect' is true. Should it be the case that some glands stimulate synthesis, it follows that the statement that 'either physicians recommend use or infant mortality is the highest in the hemisphere' is incorrect. We know that either habitats offer adequate food or if some people mistakenly believe that either houses come in many different shapes and sizes or some glands stimulate synthesis, then individuals produce fertile offspring. Some people mistakenly believe that habitats offer adequate food. One may reasonably assume that if individuals produce fertile offspring, then many spoken languages have no written form . So long as individuals produce fertile offspring, 'it is not true that many spoken languages have no written form ' is true.
|
The statement 'women tend to have the edge over men in cultivating long-term relationships' can be considered true.
|
Women have breasts.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If (Not [0].), then [1].).
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (Not (Either [2] or [3].).).
If [6], then (Not (Either [2] or [3].).).
Therefore, Not (Either [2] or [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or [6].).), then [7]. [SC1-4]
Not [7]. [SC2-4]
Therefore, Either [5] or [6]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [5] or [6].).), then [7].).
Not [8].
Therefore, If (Not (Either [5] or [6].).), then [7]..
[SC2-4]
Reductio Ad Absurdum:
If [7], then [9].
If [7], then (Not [9].).
Therefore, Not [7]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [4].
If [4], then (Not [1].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Women tend to have the edge over men in cultivating long-term relationships.', 1: 'Spider is a soft shell crab delicacy.', 2: 'Physicians recommend use.', 3: 'Infant mortality is the highest in the hemisphere.', 4: 'Some peccaries have snouts.', 5: 'Houses come in many different shapes and sizes.', 6: 'Some glands stimulate synthesis.', 7: 'Individuals produce fertile offspring.', 8: 'Habitats offer adequate food.', 9: 'Many spoken languages have no written form .'}
| 7 |
6,811 |
['Given that if plants have fairly open and upright type of growth, then porcupines have poor vision but good senses of hearing and smell, it can be inferred that either most wild flowers bloom in wet seasons or faith is spiritual strength.', 'Once we know plants have fairly open and upright type of growth, we also know that porcupines have poor vision but good senses of hearing and smell.', 'At least one of two things is true: high levels can lead to increased algal growth, or people eat birds.', 'If people eat birds, then the claim that most wild flowers bloom in wet seasons does not reflect reality.', "If the statement 'if high levels can lead to increased algal growth, then the claim that most wild flowers bloom in wet seasons does not reflect reality' can be considered false, then rotenone is a naturally-derived chemical that is considered an 'organic' pesticide.", "If the statement 'if high levels can lead to increased algal growth, then the claim that most wild flowers bloom in wet seasons does not reflect reality' can be considered false, then if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch.", 'At least one of two things is true: if tall shooters lift heads, then body heat is films, or variability is quality.', "Provided that variability is quality, we know that if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false.", 'Either one or both of these statements are true: culture has festivals, or rank coal has aromatic structures.', "Assuming culture has festivals, we know that if if tall shooters lift heads, then body heat is films, then if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false.", "Whenever it is true that rank coal has aromatic structures, 'if if tall shooters lift heads, then body heat is films, then if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false' is true."]
|
Given that if plants have fairly open and upright type of growth, then porcupines have poor vision but good senses of hearing and smell, it can be inferred that either most wild flowers bloom in wet seasons or faith is spiritual strength. Once we know plants have fairly open and upright type of growth, we also know that porcupines have poor vision but good senses of hearing and smell. At least one of two things is true: high levels can lead to increased algal growth, or people eat birds. If people eat birds, then the claim that most wild flowers bloom in wet seasons does not reflect reality. If the statement 'if high levels can lead to increased algal growth, then the claim that most wild flowers bloom in wet seasons does not reflect reality' can be considered false, then rotenone is a naturally-derived chemical that is considered an 'organic' pesticide. If the statement 'if high levels can lead to increased algal growth, then the claim that most wild flowers bloom in wet seasons does not reflect reality' can be considered false, then if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch. At least one of two things is true: if tall shooters lift heads, then body heat is films, or variability is quality. Provided that variability is quality, we know that if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false. Either one or both of these statements are true: culture has festivals, or rank coal has aromatic structures. Assuming culture has festivals, we know that if if tall shooters lift heads, then body heat is films, then if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false. Whenever it is true that rank coal has aromatic structures, 'if if tall shooters lift heads, then body heat is films, then if if ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide, then some porcupines have touch, then the statement that states rotenone is a naturally-derived chemical that is considered an 'organic' pesticide is false' is true.
|
The idea that faith is spiritual strength is true.
|
The idea that faith is spiritual strength is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [2], then [3].), then (Either [1] or [0].).
If [2], then [3].
Therefore, Either [1] or [0]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [1].). [SC2-2]
If [5], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [1].).).), then [6].
If (Not (If [4], then (Not [1].).).), then (Not [6].). [SC2-3]
Therefore, If [4], then (Not [1].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [4], then (Not [1].).).), then (If [7], then [8].).
If (If [7], then [8].), then (Not [6].). [SC2-4]
Therefore, If (Not (If [4], then (Not [1].).).), then (Not [6].)..
[SC2-4]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If (If [7], then [8].), then (Not [6].).). [SC2-5]
If [11], then (If (If [7], then [8].), then (Not [6].).).
Therefore, If (If [7], then [8].), then (Not [6].)..
[SC2-5]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If (If [9], then [10].), then (If (If [7], then [8].), then (Not [6].).).).
If [13], then (If (If [9], then [10].), then (If (If [7], then [8].), then (Not [6].).).).
Therefore, If (If [9], then [10].), then (If (If [7], then [8].), then (Not [6].).)..
|
{0: 'Faith is spiritual strength.', 1: 'Most wild flowers bloom in wet seasons.', 2: 'Plants have fairly open and upright type of growth.', 3: 'Porcupines have poor vision but good senses of hearing and smell.', 4: 'High levels can lead to increased algal growth.', 5: 'People eat birds.', 6: "Rotenone is a naturally-derived chemical that is considered an 'organic' pesticide.", 7: 'Ammonium carbamate is obtained by direct reaction of ammonia with carbon dioxide.', 8: 'Some porcupines have touch.', 9: 'Tall shooters lift heads.', 10: 'Body heat is films.', 11: 'Variability is quality.', 12: 'Culture has festivals.', 13: 'Rank coal has aromatic structures.'}
| 7 |
6,938 |
['The statement, many green veggies are bitter, hence toxic, does not hold.', "At least one of two things is true: if antique finish is an oxidized process that deepens with age, then laminatings are covering, or if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then chickens are evil cannibals who readaly attack humans.", 'It is not the case that if antique finish is an oxidized process that deepens with age, then laminatings are covering.', "Given that some people mistakenly believe that if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then the claim that chickens are evil cannibals who readaly attack humans has no merit, it can be inferred that the claim that repellents are substances that make a mosquito avoid biting people has no merit.", 'Either one or both of these statements are true: either cocaine interferes with testicular function or strip caterpillars become butterflies, or either many green veggies are bitter, hence toxic or chlorine destroys bacteria.', 'The claim that either cocaine interferes with testicular function or strip caterpillars become butterflies does not reflect reality.', "One may reasonably assume that if it is not the case that if some people mistakenly believe that if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then the claim that chickens are evil cannibals who readaly attack humans has no merit, then repellents are substances that make a mosquito avoid biting people, then blended worship means different things to different people.", 'It is not the case that blended worship means different things to different people.']
|
The statement, many green veggies are bitter, hence toxic, does not hold. At least one of two things is true: if antique finish is an oxidized process that deepens with age, then laminatings are covering, or if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then chickens are evil cannibals who readaly attack humans. It is not the case that if antique finish is an oxidized process that deepens with age, then laminatings are covering. Given that some people mistakenly believe that if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then the claim that chickens are evil cannibals who readaly attack humans has no merit, it can be inferred that the claim that repellents are substances that make a mosquito avoid biting people has no merit. Either one or both of these statements are true: either cocaine interferes with testicular function or strip caterpillars become butterflies, or either many green veggies are bitter, hence toxic or chlorine destroys bacteria. The claim that either cocaine interferes with testicular function or strip caterpillars become butterflies does not reflect reality. One may reasonably assume that if it is not the case that if some people mistakenly believe that if the statement that 'if chlorine destroys bacteria, then the claim that organisms go through respiration does not reflect reality' is incorrect, then the claim that chickens are evil cannibals who readaly attack humans has no merit, then repellents are substances that make a mosquito avoid biting people, then blended worship means different things to different people. It is not the case that blended worship means different things to different people.
|
The claim that organisms go through respiration does not reflect reality.
|
The claim that organisms go through respiration holds true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [2]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [2].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If (Not (If [1], then (Not [0].).).), then [2].).
Not (If [5], then [6].).
Therefore, If (Not (If [1], then (Not [0].).).), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [2].).).), then [4]. [SC1-3]
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [2].).).), then (Not [4].).
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then (Not [0].).).), then (Not [2].).).), then [4].).), then [9].
Not [9].
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then (Not [2].).).), then [4]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1]. [SC1-2]
Not [3].
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [3] or [1].).
Not (Either [7] or [8].).
Therefore, Either [3] or [1]..
|
{0: 'Organisms go through respiration.', 1: 'Chlorine destroys bacteria.', 2: 'Chickens are evil cannibals who readaly attack humans.', 3: 'Many green veggies are bitter, hence toxic.', 4: 'Repellents are substances that make a mosquito avoid biting people.', 5: 'Antique finish is an oxidized process that deepens with age.', 6: 'Laminatings are covering.', 7: 'Cocaine interferes with testicular function.', 8: 'Strip caterpillars become butterflies.', 9: 'Blended worship means different things to different people.'}
| 7 |
6,924 |
['There is good reason to believe that either ozone is a form of oxygen with three atoms instead of the usual two or wine is located in liquor stores.', 'Should it be the case that wine is located in liquor stores, it follows that big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts.', 'Once we know if divorce is a complex and difficult experience for all family members, then some air becomes humidity, we also know that if ozone is a form of oxygen with three atoms instead of the usual two, then big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts.', 'If guineas are on the west coast while chacmas are found only in southern Africa, then if ozone is a form of oxygen with three atoms instead of the usual two, then big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts.', 'On the condition that christians grow as they minister to people who are vulnerable and dependent, it is definitely the case that either playing cards cause anger or railways continue to be an integral part of the Canadian economy.', 'Assuming stools are used for support, we know that either playing cards cause anger or railways continue to be an integral part of the Canadian economy.', 'There is good reason to believe that either either lipids are the only nutrient that the body has an unlimited capacity to store excess or water molecules are broken down into oxygen and hydrogen atoms or if some glands look like testes, then solid particles suspend in air.', "Whenever it is true that either lipids are the only nutrient that the body has an unlimited capacity to store excess or water molecules are broken down into oxygen and hydrogen atoms, 'if playing cards cause anger, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa' is true.", "Whenever it is true that if some glands look like testes, then solid particles suspend in air, 'if playing cards cause anger, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa' is true.", "Either dry mouth can cause increased plaque buildup, which increases the risk for periodontal disease or evolution is nature's way of solving problems.", 'Given that dry mouth can cause increased plaque buildup, which increases the risk for periodontal disease, it can be inferred that if railways continue to be an integral part of the Canadian economy, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa.', "Given that evolution is nature's way of solving problems, it can be inferred that if railways continue to be an integral part of the Canadian economy, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa.", "If the statement 'either christians grow as they minister to people who are vulnerable and dependent or stools are used for support' can be considered false, then heredity plays a significant role in the development of acne.", "Assuming the statement 'either christians grow as they minister to people who are vulnerable and dependent or stools are used for support' can be considered false, we know that the claim that heredity plays a significant role in the development of acne is false."]
|
There is good reason to believe that either ozone is a form of oxygen with three atoms instead of the usual two or wine is located in liquor stores. Should it be the case that wine is located in liquor stores, it follows that big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts. Once we know if divorce is a complex and difficult experience for all family members, then some air becomes humidity, we also know that if ozone is a form of oxygen with three atoms instead of the usual two, then big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts. If guineas are on the west coast while chacmas are found only in southern Africa, then if ozone is a form of oxygen with three atoms instead of the usual two, then big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts. On the condition that christians grow as they minister to people who are vulnerable and dependent, it is definitely the case that either playing cards cause anger or railways continue to be an integral part of the Canadian economy. Assuming stools are used for support, we know that either playing cards cause anger or railways continue to be an integral part of the Canadian economy. There is good reason to believe that either either lipids are the only nutrient that the body has an unlimited capacity to store excess or water molecules are broken down into oxygen and hydrogen atoms or if some glands look like testes, then solid particles suspend in air. Whenever it is true that either lipids are the only nutrient that the body has an unlimited capacity to store excess or water molecules are broken down into oxygen and hydrogen atoms, 'if playing cards cause anger, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa' is true. Whenever it is true that if some glands look like testes, then solid particles suspend in air, 'if playing cards cause anger, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa' is true. Either dry mouth can cause increased plaque buildup, which increases the risk for periodontal disease or evolution is nature's way of solving problems. Given that dry mouth can cause increased plaque buildup, which increases the risk for periodontal disease, it can be inferred that if railways continue to be an integral part of the Canadian economy, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa. Given that evolution is nature's way of solving problems, it can be inferred that if railways continue to be an integral part of the Canadian economy, then either if divorce is a complex and difficult experience for all family members, then some air becomes humidity or guineas are on the west coast while chacmas are found only in southern Africa. If the statement 'either christians grow as they minister to people who are vulnerable and dependent or stools are used for support' can be considered false, then heredity plays a significant role in the development of acne. Assuming the statement 'either christians grow as they minister to people who are vulnerable and dependent or stools are used for support' can be considered false, we know that the claim that heredity plays a significant role in the development of acne is false.
|
The claim that big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts holds true.
|
Big eyes can also have something to do with the relative age of a character.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (If [1], then [0].).
If [5], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (Either (If [3], then [4].) or [5].). [SC2-3]
If [7], then (Either (If [3], then [4].) or [5].). [SC3-3]
Therefore, Either (If [3], then [4].) or [5]..
[SC1-3]
Disjunction Elimination:
Either [10] or [11]. [SC1-4]
If [10], then (Either [6] or [7].).
If [11], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [10] or [11].).), then [16].
If (Not (Either [10] or [11].).), then (Not [16].).
Therefore, Either [10] or [11]..
[SC2-3]
Disjunction Elimination:
Either (Either [12] or [13].) or (If [14], then [15].).
If (Either [12] or [13].), then (If [6], then (Either (If [3], then [4].) or [5].).).
If (If [14], then [15].), then (If [6], then (Either (If [3], then [4].) or [5].).).
Therefore, If [6], then (Either (If [3], then [4].) or [5].)..
[SC3-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Either (If [3], then [4].) or [5].).).
If [9], then (If [7], then (Either (If [3], then [4].) or [5].).).
Therefore, If [7], then (Either (If [3], then [4].) or [5].)..
|
{0: 'Big eye sockets, nostrils, and other cavities reduced some skull bones to lightweight struts.', 1: 'Ozone is a form of oxygen with three atoms instead of the usual two.', 2: 'Wine is located in liquor stores.', 3: 'Divorce is a complex and difficult experience for all family members.', 4: 'Some air becomes humidity.', 5: 'Guineas are on the west coast while chacmas are found only in southern Africa.', 6: 'Playing cards cause anger.', 7: 'Railways continue to be an integral part of the Canadian economy.', 8: 'Dry mouth can cause increased plaque buildup, which increases the risk for periodontal disease.', 9: "Evolution is nature's way of solving problems.", 10: 'Christians grow as they minister to people who are vulnerable and dependent.', 11: 'Stools are used for support.', 12: 'Lipids are the only nutrient that the body has an unlimited capacity to store excess.', 13: 'Water molecules are broken down into oxygen and hydrogen atoms.', 14: 'Some glands look like testes.', 15: 'Solid particles suspend in air.', 16: 'Heredity plays a significant role in the development of acne.'}
| 7 |
6,526 |
['It is not true that african food varies from one country to the next.', 'It is rational to believe that either if some polar bears have problems, then patients have average intake or all plant cells are surrounded by cell walls.', 'Given that if some polar bears have problems, then patients have average intake, it can be inferred that either toddlers tend to like bedtime reading sessions when they are already relaxed or euglenids have (part) sections.', 'Once we know all plant cells are surrounded by cell walls, we also know that either toddlers tend to like bedtime reading sessions when they are already relaxed or euglenids have (part) sections.', 'Either one or both of these statements are true: if purity is continual, immediate confession of and repentance from sin, then trees can have a canopy large enough to shade roofs, reducing cooling costs and increasing comfort, or if toddlers tend to like bedtime reading sessions when they are already relaxed, then either vapor forms explosive mixtures with air or postmodernism is characterized by commodification and an emphasis on the present.', "The statement 'if purity is continual, immediate confession of and repentance from sin, then trees can have a canopy large enough to shade roofs, reducing cooling costs and increasing comfort' can be considered false.", 'Provided that the claim that if euglenids have (part) sections, then either vapor forms explosive mixtures with air or postmodernism is characterized by commodification and an emphasis on the present does not correspond with reality, we know that true faith is a judicious intelligent grace, it knows whom it believes, and why it believes.', 'The claim that true faith is a judicious intelligent grace, it knows whom it believes, and why it believes is false.', 'It is a fact that either dental care can prevent early tooth loss and bladder or kidney infections or some models indicate that hydrothermal systems can produce organic compounds abiotically.', "Whenever it is true that dental care can prevent early tooth loss and bladder or kidney infections, 'either african food varies from one country to the next or the claim that vapor forms explosive mixtures with air does not reflect reality' is true.", 'One may reasonably assume that if some models indicate that hydrothermal systems can produce organic compounds abiotically, then either african food varies from one country to the next or the claim that vapor forms explosive mixtures with air does not reflect reality.']
|
It is not true that african food varies from one country to the next. It is rational to believe that either if some polar bears have problems, then patients have average intake or all plant cells are surrounded by cell walls. Given that if some polar bears have problems, then patients have average intake, it can be inferred that either toddlers tend to like bedtime reading sessions when they are already relaxed or euglenids have (part) sections. Once we know all plant cells are surrounded by cell walls, we also know that either toddlers tend to like bedtime reading sessions when they are already relaxed or euglenids have (part) sections. Either one or both of these statements are true: if purity is continual, immediate confession of and repentance from sin, then trees can have a canopy large enough to shade roofs, reducing cooling costs and increasing comfort, or if toddlers tend to like bedtime reading sessions when they are already relaxed, then either vapor forms explosive mixtures with air or postmodernism is characterized by commodification and an emphasis on the present. The statement 'if purity is continual, immediate confession of and repentance from sin, then trees can have a canopy large enough to shade roofs, reducing cooling costs and increasing comfort' can be considered false. Provided that the claim that if euglenids have (part) sections, then either vapor forms explosive mixtures with air or postmodernism is characterized by commodification and an emphasis on the present does not correspond with reality, we know that true faith is a judicious intelligent grace, it knows whom it believes, and why it believes. The claim that true faith is a judicious intelligent grace, it knows whom it believes, and why it believes is false. It is a fact that either dental care can prevent early tooth loss and bladder or kidney infections or some models indicate that hydrothermal systems can produce organic compounds abiotically. Whenever it is true that dental care can prevent early tooth loss and bladder or kidney infections, 'either african food varies from one country to the next or the claim that vapor forms explosive mixtures with air does not reflect reality' is true. One may reasonably assume that if some models indicate that hydrothermal systems can produce organic compounds abiotically, then either african food varies from one country to the next or the claim that vapor forms explosive mixtures with air does not reflect reality.
|
Those that suggest postmodernism is characterized by commodification and an emphasis on the present are right.
|
Those that suggest postmodernism is characterized by commodification and an emphasis on the present are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either [1] or [0].). [SC2-2]
If [4], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then (Either [3] or [4].).
If [12], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [3], then (Either [1] or [0].).).
Not (If [5], then [6].).
Therefore, If [3], then (Either [1] or [0].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Either [1] or [0].).).), then [7].
Not [7].
Therefore, If [4], then (Either [1] or [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [2] or (Not [1].).).
If [9], then (Either [2] or (Not [1].).).
Therefore, Either [2] or (Not [1].)..
|
{0: 'Postmodernism is characterized by commodification and an emphasis on the present.', 1: 'Vapor forms explosive mixtures with air.', 2: 'African food varies from one country to the next.', 3: 'Toddlers tend to like bedtime reading sessions when they are already relaxed.', 4: 'Euglenids have (part) sections.', 5: 'Purity is continual, immediate confession of and repentance from sin.', 6: 'Trees can have a canopy large enough to shade roofs, reducing cooling costs and increasing comfort.', 7: 'True faith is a judicious intelligent grace, it knows whom it believes, and why it believes.', 8: 'Dental care can prevent early tooth loss and bladder or kidney infections.', 9: 'Some models indicate that hydrothermal systems can produce organic compounds abiotically.', 10: 'Some polar bears have problems.', 11: 'Patients have average intake.', 12: 'All plant cells are surrounded by cell walls.'}
| 7 |
6,020 |
['There is good reason to believe that either dyslexic people are visual, multi-dimensional thinkers or women are subordinate by their position as bodily.', 'On the condition that those that suggest either caffeine increases the loss of calcium through the kidneys and intestines or disks are located in disk drives are wrong, it is definitely the case that libraries have (part) walls.', 'One may reasonably assume that if those that suggest either caffeine increases the loss of calcium through the kidneys and intestines or disks are located in disk drives are wrong, then the claim that libraries have (part) walls is false.', 'Given that disks are located in disk drives, it can be inferred that either some employers have misconception that people who have disabilities are difficult to accommodate or all natural elements absorb and release electromagnetic radiation at a certain fixed frequency.', "One may reasonably assume that if either some employers have misconception that people who have disabilities are difficult to accommodate or all natural elements absorb and release electromagnetic radiation at a certain fixed frequency, then the statement 'dyslexic people are visual, multi-dimensional thinkers' can be considered false.", 'We know that at least one of two things is true: smuggling is a way of life for some people along the Border, or cabins are houses.', 'One may reasonably assume that if smuggling is a way of life for some people along the Border, then laser excites fluorescence emission from within labeled sample.', "Assuming cabins are houses, we know that if caffeine increases the loss of calcium through the kidneys and intestines, then the statement 'dyslexic people are visual, multi-dimensional thinkers' can be considered false.", 'When laser excites fluorescence emission from within labeled sample is true, it follows that apoptosis opens urodeal membrane, cavitates coprodeum, and removes chick urogenital ducts.', "One may reasonably assume that if laser excites fluorescence emission from within labeled sample, then the statement that 'apoptosis opens urodeal membrane, cavitates coprodeum, and removes chick urogenital ducts' is incorrect."]
|
There is good reason to believe that either dyslexic people are visual, multi-dimensional thinkers or women are subordinate by their position as bodily. On the condition that those that suggest either caffeine increases the loss of calcium through the kidneys and intestines or disks are located in disk drives are wrong, it is definitely the case that libraries have (part) walls. One may reasonably assume that if those that suggest either caffeine increases the loss of calcium through the kidneys and intestines or disks are located in disk drives are wrong, then the claim that libraries have (part) walls is false. Given that disks are located in disk drives, it can be inferred that either some employers have misconception that people who have disabilities are difficult to accommodate or all natural elements absorb and release electromagnetic radiation at a certain fixed frequency. One may reasonably assume that if either some employers have misconception that people who have disabilities are difficult to accommodate or all natural elements absorb and release electromagnetic radiation at a certain fixed frequency, then the statement 'dyslexic people are visual, multi-dimensional thinkers' can be considered false. We know that at least one of two things is true: smuggling is a way of life for some people along the Border, or cabins are houses. One may reasonably assume that if smuggling is a way of life for some people along the Border, then laser excites fluorescence emission from within labeled sample. Assuming cabins are houses, we know that if caffeine increases the loss of calcium through the kidneys and intestines, then the statement 'dyslexic people are visual, multi-dimensional thinkers' can be considered false. When laser excites fluorescence emission from within labeled sample is true, it follows that apoptosis opens urodeal membrane, cavitates coprodeum, and removes chick urogenital ducts. One may reasonably assume that if laser excites fluorescence emission from within labeled sample, then the statement that 'apoptosis opens urodeal membrane, cavitates coprodeum, and removes chick urogenital ducts' is incorrect.
|
It is rational to agree that women are subordinate by their position as bodily.
|
Some women suffer heart attacks.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [7].
If (Not (Either [2] or [3].).), then (Not [7].).
Therefore, Either [2] or [3]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (Not [1].).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Constructive Dilemma:
Either [8] or [9].
If [8], then [6].
If [9], then (If [2], then (Not [1].).).
Therefore, Either [6] or (If [2], then (Not [1].).)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [10].
If [6], then (Not [10].).
Therefore, Not [6]..
[SC3-2]
Hypothetical Syllogism:
If [3], then (Either [4] or [5].).
If (Either [4] or [5].), then (Not [1].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Women are subordinate by their position as bodily.', 1: 'Dyslexic people are visual, multi-dimensional thinkers.', 2: 'Caffeine increases the loss of calcium through the kidneys and intestines.', 3: 'Disks are located in disk drives.', 4: 'Some employers have misconception that people who have disabilities are difficult to accommodate.', 5: 'All natural elements absorb and release electromagnetic radiation at a certain fixed frequency.', 6: 'Laser excites fluorescence emission from within labeled sample.', 7: 'Libraries have (part) walls.', 8: 'Smuggling is a way of life for some people along the Border.', 9: 'Cabins are houses.', 10: 'Apoptosis opens urodeal membrane, cavitates coprodeum, and removes chick urogenital ducts.'}
| 7 |
6,905 |
["So long as the statement that states preventive measures consist in keeping from being bitten by infected mosquitoes is false, 'the statement 'gravity has properties' can be considered false' is true.", "So long as olfactory nerves come into the dorsal forebrain, 'either if scent marking is important in advertising territory boundaries and willingness to mate, then most snakes detect sound or if the statement that states preventive measures consist in keeping from being bitten by infected mosquitoes is false, then gravity has properties' is true.", 'Given that if scent marking is important in advertising territory boundaries and willingness to mate, then most snakes detect sound, it can be inferred that osteoblastic tumors are most evident in prostate cancer.', 'It is a common misconception that osteoblastic tumors are most evident in prostate cancer.', 'It is rational to believe that either people get chances or either some protozoans have flagella or planning is a way of deciding how to manage state lands.', 'When either some protozoans have flagella or planning is a way of deciding how to manage state lands is true, it follows that olfactory nerves come into the dorsal forebrain.', 'Either one or both of these statements are true: rubella is spread by the cough, saliva or mucus of a person who has it, or if people get chances, then olfactory nerves come into the dorsal forebrain.', 'We know that either songbirds relish and seek the small seeds or redemption means to buy back from under the penalty of law.', "Assuming songbirds relish and seek the small seeds, we know that the notion that 'rubella is spread by the cough, saliva or mucus of a person who has it' is untrue.", "When redemption means to buy back from under the penalty of law is true, it follows that the notion that 'rubella is spread by the cough, saliva or mucus of a person who has it' is untrue."]
|
So long as the statement that states preventive measures consist in keeping from being bitten by infected mosquitoes is false, 'the statement 'gravity has properties' can be considered false' is true. So long as olfactory nerves come into the dorsal forebrain, 'either if scent marking is important in advertising territory boundaries and willingness to mate, then most snakes detect sound or if the statement that states preventive measures consist in keeping from being bitten by infected mosquitoes is false, then gravity has properties' is true. Given that if scent marking is important in advertising territory boundaries and willingness to mate, then most snakes detect sound, it can be inferred that osteoblastic tumors are most evident in prostate cancer. It is a common misconception that osteoblastic tumors are most evident in prostate cancer. It is rational to believe that either people get chances or either some protozoans have flagella or planning is a way of deciding how to manage state lands. When either some protozoans have flagella or planning is a way of deciding how to manage state lands is true, it follows that olfactory nerves come into the dorsal forebrain. Either one or both of these statements are true: rubella is spread by the cough, saliva or mucus of a person who has it, or if people get chances, then olfactory nerves come into the dorsal forebrain. We know that either songbirds relish and seek the small seeds or redemption means to buy back from under the penalty of law. Assuming songbirds relish and seek the small seeds, we know that the notion that 'rubella is spread by the cough, saliva or mucus of a person who has it' is untrue. When redemption means to buy back from under the penalty of law is true, it follows that the notion that 'rubella is spread by the cough, saliva or mucus of a person who has it' is untrue.
|
Many people rightly believe that preventive measures consist in keeping from being bitten by infected mosquitoes.
|
Some people mistakenly believe that preventive measures consist in keeping from being bitten by infected mosquitoes.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then [1].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (Either (If [2], then [3].) or (If (Not [0].), then [1].).).
[5] [SC2-3]
Therefore, Either (If [2], then [3].) or (If (Not [0].), then [1].)..
[SC2-3]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then [5]. [SC2-4]
If (Either [7] or [8].), then [5].
Therefore, [5].
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If [6], then [5].).
Not [9]. [SC2-5]
Therefore, If [6], then [5]..
[SC2-5]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Not [9].).
If [11], then (Not [9].).
Therefore, Not [9]..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then [4].
Not [4].
Therefore, Not (If [2], then [3].)..
|
{0: 'Preventive measures consist in keeping from being bitten by infected mosquitoes.', 1: 'Gravity has properties.', 2: 'Scent marking is important in advertising territory boundaries and willingness to mate.', 3: 'Most snakes detect sound.', 4: 'Osteoblastic tumors are most evident in prostate cancer.', 5: 'Olfactory nerves come into the dorsal forebrain.', 6: 'People get chances.', 7: 'Some protozoans have flagella.', 8: 'Planning is a way of deciding how to manage state lands.', 9: 'Rubella is spread by the cough, saliva or mucus of a person who has it.', 10: 'Songbirds relish and seek the small seeds.', 11: 'Redemption means to buy back from under the penalty of law.'}
| 7 |
6,380 |
['On the condition that red kangaroos eat diets, it is definitely the case that starches contain vitamins.', 'One may reasonably assume that if the claim that if if red kangaroos eat diets, then starches contain vitamins, then if logic bombs are programs that have the ability to delete files or reformat hard drives, then small dogs are located in big houses does not reflect reality, then if latin isa language, then ants kill vegetation.', 'Once we know the claim that if if red kangaroos eat diets, then starches contain vitamins, then if logic bombs are programs that have the ability to delete files or reformat hard drives, then small dogs are located in big houses does not reflect reality, we also know that it is not the case that if latin isa language, then ants kill vegetation.', 'Once we know it is not the case that either if profit margin is determined by dividing net income by revenue, then cancer does unpredictable things to the body and to the lives that it affects or guard cells the opening and closing of the stomata which is usually a frequent movement, we also know that history is a term that includes a massive amount of material.', 'We know that the claim that history is a term that includes a massive amount of material is false.', 'It is a fact that either most animals depend on pond plants or if if profit margin is determined by dividing net income by revenue, then cancer does unpredictable things to the body and to the lives that it affects, then logic bombs are programs that have the ability to delete files or reformat hard drives.', "The notion that 'most animals depend on pond plants' is untrue.", 'At least one of two things is true: a commercial activity is an enterprise, or vitamin D helps to regulate the absorption and use of calcium.', 'Given that a commercial activity is an enterprise, it can be inferred that if guard cells the opening and closing of the stomata which is usually a frequent movement, then logic bombs are programs that have the ability to delete files or reformat hard drives.', "Whenever it is true that vitamin D helps to regulate the absorption and use of calcium, 'if guard cells the opening and closing of the stomata which is usually a frequent movement, then logic bombs are programs that have the ability to delete files or reformat hard drives' is true."]
|
On the condition that red kangaroos eat diets, it is definitely the case that starches contain vitamins. One may reasonably assume that if the claim that if if red kangaroos eat diets, then starches contain vitamins, then if logic bombs are programs that have the ability to delete files or reformat hard drives, then small dogs are located in big houses does not reflect reality, then if latin isa language, then ants kill vegetation. Once we know the claim that if if red kangaroos eat diets, then starches contain vitamins, then if logic bombs are programs that have the ability to delete files or reformat hard drives, then small dogs are located in big houses does not reflect reality, we also know that it is not the case that if latin isa language, then ants kill vegetation. Once we know it is not the case that either if profit margin is determined by dividing net income by revenue, then cancer does unpredictable things to the body and to the lives that it affects or guard cells the opening and closing of the stomata which is usually a frequent movement, we also know that history is a term that includes a massive amount of material. We know that the claim that history is a term that includes a massive amount of material is false. It is a fact that either most animals depend on pond plants or if if profit margin is determined by dividing net income by revenue, then cancer does unpredictable things to the body and to the lives that it affects, then logic bombs are programs that have the ability to delete files or reformat hard drives. The notion that 'most animals depend on pond plants' is untrue. At least one of two things is true: a commercial activity is an enterprise, or vitamin D helps to regulate the absorption and use of calcium. Given that a commercial activity is an enterprise, it can be inferred that if guard cells the opening and closing of the stomata which is usually a frequent movement, then logic bombs are programs that have the ability to delete files or reformat hard drives. Whenever it is true that vitamin D helps to regulate the absorption and use of calcium, 'if guard cells the opening and closing of the stomata which is usually a frequent movement, then logic bombs are programs that have the ability to delete files or reformat hard drives' is true.
|
The statement 'small dogs are located in big houses' can be considered true.
|
The statement, small dogs are located in big houses, does not hold.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (If [1], then [0].). [SC1-2]
If [5], then [6].
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (If [1], then [0].).).), then (If [7], then [8].).
If (Not (If (If [5], then [6].), then (If [1], then [0].).).), then (Not (If [7], then [8].).).
Therefore, If (If [5], then [6].), then (If [1], then [0].)..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-2]
If (If [2], then [3].), then [1]. [SC2-2]
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (Either (If [2], then [3].) or [4].).), then [10].
Not [10].
Therefore, Either (If [2], then [3].) or [4]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If (If [2], then [3].), then [1].).
Not [9].
Therefore, If (If [2], then [3].), then [1]..
[SC3-2]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If [4], then [1].).
If [12], then (If [4], then [1].).
Therefore, If [4], then [1]..
|
{0: 'Small dogs are located in big houses.', 1: 'Logic bombs are programs that have the ability to delete files or reformat hard drives.', 2: 'Profit margin is determined by dividing net income by revenue.', 3: 'Cancer does unpredictable things to the body and to the lives that it affects.', 4: 'Guard cells the opening and closing of the stomata which is usually a frequent movement.', 5: 'Red kangaroos eat diets.', 6: 'Starches contain vitamins.', 7: 'Latin isa language.', 8: 'Ants kill vegetation.', 9: 'Most animals depend on pond plants.', 10: 'History is a term that includes a massive amount of material.', 11: 'A commercial activity is an enterprise.', 12: 'Vitamin D helps to regulate the absorption and use of calcium.'}
| 7 |
6,420 |
['It is a common misconception that brains are organs.', "Whenever it is true that oxalates are very acidic, and can irritate the mucous membranes of the vulva when overproduced, 'the claim that doctors educate patients does not reflect reality' is true.", 'It is rational to agree that oxalates are very acidic, and can irritate the mucous membranes of the vulva when overproduced.', 'It is not the case that unrestrained passengers can cause injuries to others, as well as themselves.', 'Either soluble fiber stays in the intestines longer and absorbs more cholesterol or some birds eat centipedes.', "If soluble fiber stays in the intestines longer and absorbs more cholesterol, then if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then childhood is also the most critical time for learning, growing and building.", "Given that some birds eat centipedes, it can be inferred that if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then childhood is also the most critical time for learning, growing and building.", 'It is a fact that either betel nut is an important factor in Timorese village life or all medicine also carries risks.', "Whenever it is true that betel nut is an important factor in Timorese village life, 'if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then some people mistakenly believe that childhood is also the most critical time for learning, growing and building' is true.", "Should it be the case that all medicine also carries risks, it follows that if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then some people mistakenly believe that childhood is also the most critical time for learning, growing and building."]
|
It is a common misconception that brains are organs. Whenever it is true that oxalates are very acidic, and can irritate the mucous membranes of the vulva when overproduced, 'the claim that doctors educate patients does not reflect reality' is true. It is rational to agree that oxalates are very acidic, and can irritate the mucous membranes of the vulva when overproduced. It is not the case that unrestrained passengers can cause injuries to others, as well as themselves. Either soluble fiber stays in the intestines longer and absorbs more cholesterol or some birds eat centipedes. If soluble fiber stays in the intestines longer and absorbs more cholesterol, then if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then childhood is also the most critical time for learning, growing and building. Given that some birds eat centipedes, it can be inferred that if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then childhood is also the most critical time for learning, growing and building. It is a fact that either betel nut is an important factor in Timorese village life or all medicine also carries risks. Whenever it is true that betel nut is an important factor in Timorese village life, 'if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then some people mistakenly believe that childhood is also the most critical time for learning, growing and building' is true. Should it be the case that all medicine also carries risks, it follows that if we know that the claim that if the notion that 'either brains are organs or either doctors educate patients or slugs hide under boards, stones or debris during the day' is untrue, then unrestrained passengers can cause injuries to others, as well as themselves is false, then some people mistakenly believe that childhood is also the most critical time for learning, growing and building.
|
The idea that slugs hide under boards, stones or debris during the day is true.
|
The idea that slugs hide under boards, stones or debris during the day is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].). [SC1-2]
Not [2].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (Either [1] or [0].).).), then [4]. [SC1-3]
Not [4].
Therefore, Either [2] or (Either [1] or [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then [5]. [SC1-4]
If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then (Not [5].). [SC2-4]
Therefore, If (Not (Either [2] or (Either [1] or [0].).).), then [4]..
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then [5].).
If [7], then (If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then [5].).
Therefore, If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then [5]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then (Not [5].).).
If [9], then (If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then (Not [5].).).
Therefore, If (Not (If (Not (Either [2] or (Either [1] or [0].).).), then [4].).), then (Not [5].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3]
Therefore, Not [1]..
|
{0: 'Slugs hide under boards, stones or debris during the day.', 1: 'Doctors educate patients.', 2: 'Brains are organs.', 3: 'Oxalates are very acidic, and can irritate the mucous membranes of the vulva when overproduced.', 4: 'Unrestrained passengers can cause injuries to others, as well as themselves.', 5: 'Childhood is also the most critical time for learning, growing and building.', 6: 'Soluble fiber stays in the intestines longer and absorbs more cholesterol.', 7: 'Some birds eat centipedes.', 8: 'Betel nut is an important factor in Timorese village life.', 9: 'All medicine also carries risks.'}
| 7 |
6,285 |
['Assuming slips are small plants that form just below the fruit, we know that if quality is measured by conformance to requirements established by facilities management personnel, then either soap operas are often rebroadcasts of programs made in Mexico or electronic commerce is the act of buying and selling products or services on the web.', 'Assuming either structures show different growth patterns or most aardwolfs have glands, we know that if quality is measured by conformance to requirements established by facilities management personnel, then either soap operas are often rebroadcasts of programs made in Mexico or electronic commerce is the act of buying and selling products or services on the web.', "Whenever it is true that the notion that 'quality is measured by conformance to requirements established by facilities management personnel' is untrue, 'libertarianism provides no basis for a national leader' is true.", 'Either one or both of these statements are true: most minerals work as enzyme helpers during metabolism, or either slips are small plants that form just below the fruit or either structures show different growth patterns or most aardwolfs have glands.', 'It is not the case that most minerals work as enzyme helpers during metabolism.', "It is a fact that either if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat or if the notion that 'quality is measured by conformance to requirements established by facilities management personnel' is untrue, then the statement that 'libertarianism provides no basis for a national leader' is incorrect.", 'At least one of two things is true: white flour used in white bread and pastries contain empty calories, or most pythons eat rats.', 'Given that most pythons eat rats, it can be inferred that the claim that if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat is false.', 'Should it be the case that the statement that states if white flour used in white bread and pastries contain empty calories, then the claim that if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat is false is false, it follows that growlers are icebergs.', 'Those that suggest growlers are icebergs are wrong.']
|
Assuming slips are small plants that form just below the fruit, we know that if quality is measured by conformance to requirements established by facilities management personnel, then either soap operas are often rebroadcasts of programs made in Mexico or electronic commerce is the act of buying and selling products or services on the web. Assuming either structures show different growth patterns or most aardwolfs have glands, we know that if quality is measured by conformance to requirements established by facilities management personnel, then either soap operas are often rebroadcasts of programs made in Mexico or electronic commerce is the act of buying and selling products or services on the web. Whenever it is true that the notion that 'quality is measured by conformance to requirements established by facilities management personnel' is untrue, 'libertarianism provides no basis for a national leader' is true. Either one or both of these statements are true: most minerals work as enzyme helpers during metabolism, or either slips are small plants that form just below the fruit or either structures show different growth patterns or most aardwolfs have glands. It is not the case that most minerals work as enzyme helpers during metabolism. It is a fact that either if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat or if the notion that 'quality is measured by conformance to requirements established by facilities management personnel' is untrue, then the statement that 'libertarianism provides no basis for a national leader' is incorrect. At least one of two things is true: white flour used in white bread and pastries contain empty calories, or most pythons eat rats. Given that most pythons eat rats, it can be inferred that the claim that if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat is false. Should it be the case that the statement that states if white flour used in white bread and pastries contain empty calories, then the claim that if some jaws crush bones, then fish provides plenty of protein and vitamins, and is low in fat is false is false, it follows that growlers are icebergs. Those that suggest growlers are icebergs are wrong.
|
At least one of two things is true: soap operas are often rebroadcasts of programs made in Mexico, or electronic commerce is the act of buying and selling products or services on the web.
|
At least one of two things is true: soap operas are often rebroadcasts of programs made in Mexico, or electronic commerce is the act of buying and selling products or services on the web.
|
TRUE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (If [2], then (Either [0] or [1].).).
If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).).
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either [3] or (Either [4] or [5].).).
Not [9].
Therefore, Either [3] or (Either [4] or [5].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [6].
If (Not [2].), then (Not [6].). [SC2-2]
Therefore, [2].
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not [2].), then (Not [6].).).
Not (If [7], then [8].). [SC2-3]
Therefore, If (Not [2].), then (Not [6].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Not (If [7], then [8].).). [SC2-4]
If [11], then (Not (If [7], then [8].).).
Therefore, Not (If [7], then [8].)..
[SC2-4]
Modus Tonens:
If (Not (If [10], then (Not (If [7], then [8].).).).), then [12].
Not [12].
Therefore, If [10], then (Not (If [7], then [8].).)..
|
{0: 'Soap operas are often rebroadcasts of programs made in Mexico.', 1: 'Electronic commerce is the act of buying and selling products or services on the web.', 2: 'Quality is measured by conformance to requirements established by facilities management personnel.', 3: 'Slips are small plants that form just below the fruit.', 4: 'Structures show different growth patterns.', 5: 'Most aardwolfs have glands.', 6: 'Libertarianism provides no basis for a national leader.', 7: 'Some jaws crush bones.', 8: 'Fish provides plenty of protein and vitamins, and is low in fat.', 9: 'Most minerals work as enzyme helpers during metabolism.', 10: 'White flour used in white bread and pastries contain empty calories.', 11: 'Most pythons eat rats.', 12: 'Growlers are icebergs.'}
| 7 |
6,071 |
["Provided that the claim that if the claim that scientists use different methods to determine marine mammal life spans is false, then vaginal fluids can enter a man's body through the head of the penis does not correspond with reality, we know that investigations provide valuable information.", 'The statement that states investigations provide valuable information is false.', 'The idea that women continue to live longer than men do is true.', 'It is a fact that either cortisol isa corticosteroid or either artery walls become thick and lose their ability to stretch or anger is one of the most difficult emotions for many people to manage.', 'Should it be the case that either artery walls become thick and lose their ability to stretch or anger is one of the most difficult emotions for many people to manage, it follows that the claim that biodiversity is the variety of living organisms in an area does not correspond with reality.', "If it is not the case that if women continue to live longer than men do, then if those that suggest if the claim that scientists use different methods to determine marine mammal life spans is false, then the statement that 'vaginal fluids can enter a man's body through the head of the penis' is incorrect are wrong, then biodiversity is the variety of living organisms in an area, then abscess can also develop under the skin.", "On the condition that it is not the case that if women continue to live longer than men do, then if those that suggest if the claim that scientists use different methods to determine marine mammal life spans is false, then the statement that 'vaginal fluids can enter a man's body through the head of the penis' is incorrect are wrong, then biodiversity is the variety of living organisms in an area, it is definitely the case that some people mistakenly believe that abscess can also develop under the skin.", "Whenever it is true that those that suggest if cortisol isa corticosteroid, then the claim that biodiversity is the variety of living organisms in an area does not correspond with reality are wrong, 'crakes have (part) quill feathers' is true.", 'When those that suggest if cortisol isa corticosteroid, then the claim that biodiversity is the variety of living organisms in an area does not correspond with reality are wrong is true, it follows that those that suggest crakes have (part) quill feathers are wrong.']
|
Provided that the claim that if the claim that scientists use different methods to determine marine mammal life spans is false, then vaginal fluids can enter a man's body through the head of the penis does not correspond with reality, we know that investigations provide valuable information. The statement that states investigations provide valuable information is false. The idea that women continue to live longer than men do is true. It is a fact that either cortisol isa corticosteroid or either artery walls become thick and lose their ability to stretch or anger is one of the most difficult emotions for many people to manage. Should it be the case that either artery walls become thick and lose their ability to stretch or anger is one of the most difficult emotions for many people to manage, it follows that the claim that biodiversity is the variety of living organisms in an area does not correspond with reality. If it is not the case that if women continue to live longer than men do, then if those that suggest if the claim that scientists use different methods to determine marine mammal life spans is false, then the statement that 'vaginal fluids can enter a man's body through the head of the penis' is incorrect are wrong, then biodiversity is the variety of living organisms in an area, then abscess can also develop under the skin. On the condition that it is not the case that if women continue to live longer than men do, then if those that suggest if the claim that scientists use different methods to determine marine mammal life spans is false, then the statement that 'vaginal fluids can enter a man's body through the head of the penis' is incorrect are wrong, then biodiversity is the variety of living organisms in an area, it is definitely the case that some people mistakenly believe that abscess can also develop under the skin. Whenever it is true that those that suggest if cortisol isa corticosteroid, then the claim that biodiversity is the variety of living organisms in an area does not correspond with reality are wrong, 'crakes have (part) quill feathers' is true. When those that suggest if cortisol isa corticosteroid, then the claim that biodiversity is the variety of living organisms in an area does not correspond with reality are wrong is true, it follows that those that suggest crakes have (part) quill feathers are wrong.
|
The statement that states scientists use different methods to determine marine mammal life spans is right.
|
Scientists frequently work as parts of teams.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If (Not [0].), then (Not [1].).).), then [3].). [SC1-3]
[7]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Not (If (Not [0].), then (Not [1].).).), then [3].).).), then [8].
If (Not (If [7], then (If (Not (If (Not [0].), then (Not [1].).).), then [3].).).), then (Not [8].).
Therefore, If [7], then (If (Not (If (Not [0].), then (Not [1].).).), then [3].)..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not [3].). [SC2-3]
If (Either [5] or [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: 'Scientists use different methods to determine marine mammal life spans.', 1: "Vaginal fluids can enter a man's body through the head of the penis.", 2: 'Investigations provide valuable information.', 3: 'Biodiversity is the variety of living organisms in an area.', 4: 'Cortisol isa corticosteroid.', 5: 'Artery walls become thick and lose their ability to stretch.', 6: 'Anger is one of the most difficult emotions for many people to manage.', 7: 'Women continue to live longer than men do.', 8: 'Abscess can also develop under the skin.', 9: 'Crakes have (part) quill feathers.'}
| 7 |
6,049 |
["So long as either iodine deficiency is apparent in dull lusterless hair coat and poor hoof condition or an economic crisis is a crisis, 'if the claim that mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras does not correspond with reality, then most frogs are known as amphibians' is true.", 'One may reasonably assume that if grasses use stolons and rhizomes to reach out and establish new grass culms, then either animals have complex emotional lives and do experience grief at the loss of a companion or either iodine deficiency is apparent in dull lusterless hair coat and poor hoof condition or an economic crisis is a crisis.', 'The claim that grasses use stolons and rhizomes to reach out and establish new grass culms holds true.', 'Either state capital is cities or if animals have complex emotional lives and do experience grief at the loss of a companion, then if the claim that mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras does not correspond with reality, then most frogs are known as amphibians.', 'The claim that state capital is cities has no merit.', 'One may reasonably assume that if some archegoniums have tubes, then if most frogs are known as amphibians, then allergies may have reaction.', 'The statement that states some archegoniums have tubes is right.', 'Given that some marmosets have tails, it can be inferred that the claim that allergies may have reaction does not reflect reality.', 'It is reasonable to believe that some marmosets have tails.']
|
So long as either iodine deficiency is apparent in dull lusterless hair coat and poor hoof condition or an economic crisis is a crisis, 'if the claim that mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras does not correspond with reality, then most frogs are known as amphibians' is true. One may reasonably assume that if grasses use stolons and rhizomes to reach out and establish new grass culms, then either animals have complex emotional lives and do experience grief at the loss of a companion or either iodine deficiency is apparent in dull lusterless hair coat and poor hoof condition or an economic crisis is a crisis. The claim that grasses use stolons and rhizomes to reach out and establish new grass culms holds true. Either state capital is cities or if animals have complex emotional lives and do experience grief at the loss of a companion, then if the claim that mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras does not correspond with reality, then most frogs are known as amphibians. The claim that state capital is cities has no merit. One may reasonably assume that if some archegoniums have tubes, then if most frogs are known as amphibians, then allergies may have reaction. The statement that states some archegoniums have tubes is right. Given that some marmosets have tails, it can be inferred that the claim that allergies may have reaction does not reflect reality. It is reasonable to believe that some marmosets have tails.
|
We can assume that mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras .
|
The statement that states mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If (Either [3] or [4].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [8], then (Either [2] or (Either [3] or [4].).).
[8]
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (If (Not [0].), then [1].).).
Not [6].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-1]
Modus Tonens:
If [1], then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [9], then (If [1], then [5].).
[9]
Therefore, If [1], then [5]..
[SC2-2]
Modus Ponens:
If [7], then (Not [5].).
[7]
Therefore, Not [5]..
|
{0: 'Mongooses are noted for their audacious attacks on highly poisonous snakes such as king cobras .', 1: 'Most frogs are known as amphibians.', 2: 'Animals have complex emotional lives and do experience grief at the loss of a companion.', 3: 'Iodine deficiency is apparent in dull lusterless hair coat and poor hoof condition.', 4: 'An economic crisis is a crisis.', 5: 'Allergies may have reaction.', 6: 'State capital is cities.', 7: 'Some marmosets have tails.', 8: 'Grasses use stolons and rhizomes to reach out and establish new grass culms.', 9: 'Some archegoniums have tubes.'}
| 7 |
6,179 |
['We know that either if fish glide around a coral head suffereing from black band disease, then fish is eaten at least twice a week, but meat and sugar only once or a hyacinth is a mineral.', 'When if fish glide around a coral head suffereing from black band disease, then fish is eaten at least twice a week, but meat and sugar only once is true, it follows that most slugs thrive in habitats.', 'Given that we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, it can be inferred that either most turbines generate electricity or panthers seek food.', "So long as either most turbines generate electricity or panthers seek food, 'if structures are sometimes combined with submerged trees, then bible teaching is on marriage' is true.", 'We know that at least one of two things is true: either compounds can be organic or inorganic or ice occasionally forms on high marsh pools, but snow is a rare event, or some cholesterol is needed for cells to function.', 'Assuming either compounds can be organic or inorganic or ice occasionally forms on high marsh pools, but snow is a rare event, we know that some breeders keep turkeys.', 'If some breeders keep turkeys, then scientists call amino acids the building blocks of proteins.', 'One may reasonably assume that if some breeders keep turkeys, then the claim that scientists call amino acids the building blocks of proteins is false.', 'It is rational to believe that either creatures are located in dessert or if trains have (part) sections, then sequence is a model of Sequence .', 'If creatures are located in dessert, then if some cholesterol is needed for cells to function, then if we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, then the claim that if structures are sometimes combined with submerged trees, then bible teaching is on marriage does not correspond with reality.', 'On the condition that if trains have (part) sections, then sequence is a model of Sequence , it is definitely the case that if some cholesterol is needed for cells to function, then if we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, then the claim that if structures are sometimes combined with submerged trees, then bible teaching is on marriage does not correspond with reality.']
|
We know that either if fish glide around a coral head suffereing from black band disease, then fish is eaten at least twice a week, but meat and sugar only once or a hyacinth is a mineral. When if fish glide around a coral head suffereing from black band disease, then fish is eaten at least twice a week, but meat and sugar only once is true, it follows that most slugs thrive in habitats. Given that we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, it can be inferred that either most turbines generate electricity or panthers seek food. So long as either most turbines generate electricity or panthers seek food, 'if structures are sometimes combined with submerged trees, then bible teaching is on marriage' is true. We know that at least one of two things is true: either compounds can be organic or inorganic or ice occasionally forms on high marsh pools, but snow is a rare event, or some cholesterol is needed for cells to function. Assuming either compounds can be organic or inorganic or ice occasionally forms on high marsh pools, but snow is a rare event, we know that some breeders keep turkeys. If some breeders keep turkeys, then scientists call amino acids the building blocks of proteins. One may reasonably assume that if some breeders keep turkeys, then the claim that scientists call amino acids the building blocks of proteins is false. It is rational to believe that either creatures are located in dessert or if trains have (part) sections, then sequence is a model of Sequence . If creatures are located in dessert, then if some cholesterol is needed for cells to function, then if we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, then the claim that if structures are sometimes combined with submerged trees, then bible teaching is on marriage does not correspond with reality. On the condition that if trains have (part) sections, then sequence is a model of Sequence , it is definitely the case that if some cholesterol is needed for cells to function, then if we know that the claim that if a hyacinth is a mineral, then most slugs thrive in habitats is false, then the claim that if structures are sometimes combined with submerged trees, then bible teaching is on marriage does not correspond with reality.
|
The claim that most slugs thrive in habitats is true.
|
The claim that most slugs thrive in habitats is true.
|
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 (If [4], then [5].). [SC1-2]
If (Not (If [3], then [0].).), then (Not (If [4], then [5].).). [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [3], then [0].).), then (Either [7] or [8].).
If (Either [7] or [8].), then (If [4], then [5].).
Therefore, If (Not (If [3], then [0].).), then (If [4], then [5].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If (Not (If [3], then [0].).), then (Not (If [4], then [5].).)..
[SC1-3]
Constructive Dilemma:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then [6].
If [11], then (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).). [SC3-4]
Therefore, Either [6] or (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).)..
[SC3-4]
Disjunction Elimination:
Either [13] or (If [14], then [15].).
If [13], then (If [11], then (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).).).
If (If [14], then [15].), then (If [11], then (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).).).
Therefore, If [11], then (If (Not (If [3], then [0].).), then (Not (If [4], then [5].).).)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [12].
If [6], then (Not [12].).
Therefore, Not [6]..
|
{0: 'Most slugs thrive in habitats.', 1: 'Fish glide around a coral head suffereing from black band disease.', 2: 'Fish is eaten at least twice a week, but meat and sugar only once.', 3: 'A hyacinth is a mineral.', 4: 'Structures are sometimes combined with submerged trees.', 5: 'Bible teaching is on marriage.', 6: 'Some breeders keep turkeys.', 7: 'Most turbines generate electricity.', 8: 'Panthers seek food.', 9: 'Compounds can be organic or inorganic.', 10: 'Ice occasionally forms on high marsh pools, but snow is a rare event.', 11: 'Some cholesterol is needed for cells to function.', 12: 'Scientists call amino acids the building blocks of proteins.', 13: 'Creatures are located in dessert.', 14: 'Trains have (part) sections.', 15: 'Sequence is a model of Sequence .'}
| 7 |
6,506 |
['Either some periwinkles produce plants or if democracy depends upon a literate populace, then orchids have inferior ovaries.', 'Given that some periwinkles produce plants, it can be inferred that colds cause deafness.', "So long as if democracy depends upon a literate populace, then orchids have inferior ovaries, 'if most hyphae form continuous tubes, then either a skeet is a shoot or cavities have purposes' is true.", 'It is a fact that either hair grows from indentations in the outer skin layer called hair follicles or we know that the claim that colds cause deafness is false.', 'The claim that hair grows from indentations in the outer skin layer called hair follicles is false.', 'Either if gold refers to the old-orthodox community and painting of icons, then most badgers have sharp teeth or either mycenaean era ends with the destruction of that civilisation or dumpers have (part) gasoline gauges.', "Provided that if gold refers to the old-orthodox community and painting of icons, then most badgers have sharp teeth, we know that either cockroaches can eat just about anything, and can survive without food for long periods of time or the statement 'either a skeet is a shoot or cavities have purposes' can be considered false.", "Provided that either mycenaean era ends with the destruction of that civilisation or dumpers have (part) gasoline gauges, we know that either cockroaches can eat just about anything, and can survive without food for long periods of time or the statement 'either a skeet is a shoot or cavities have purposes' can be considered false.", "So long as teeth naturally demineralize and remineralize, 'the claim that cockroaches can eat just about anything, and can survive without food for long periods of time has no merit' is true.", 'It is reasonable to believe that teeth naturally demineralize and remineralize.']
|
Either some periwinkles produce plants or if democracy depends upon a literate populace, then orchids have inferior ovaries. Given that some periwinkles produce plants, it can be inferred that colds cause deafness. So long as if democracy depends upon a literate populace, then orchids have inferior ovaries, 'if most hyphae form continuous tubes, then either a skeet is a shoot or cavities have purposes' is true. It is a fact that either hair grows from indentations in the outer skin layer called hair follicles or we know that the claim that colds cause deafness is false. The claim that hair grows from indentations in the outer skin layer called hair follicles is false. Either if gold refers to the old-orthodox community and painting of icons, then most badgers have sharp teeth or either mycenaean era ends with the destruction of that civilisation or dumpers have (part) gasoline gauges. Provided that if gold refers to the old-orthodox community and painting of icons, then most badgers have sharp teeth, we know that either cockroaches can eat just about anything, and can survive without food for long periods of time or the statement 'either a skeet is a shoot or cavities have purposes' can be considered false. Provided that either mycenaean era ends with the destruction of that civilisation or dumpers have (part) gasoline gauges, we know that either cockroaches can eat just about anything, and can survive without food for long periods of time or the statement 'either a skeet is a shoot or cavities have purposes' can be considered false. So long as teeth naturally demineralize and remineralize, 'the claim that cockroaches can eat just about anything, and can survive without food for long periods of time has no merit' is true. It is reasonable to believe that teeth naturally demineralize and remineralize.
|
We know that the claim that most hyphae form continuous tubes is false.
|
Those that suggest most hyphae form continuous tubes are right.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then (Either [1] or [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Constructive Dilemma:
Either [5] or (If [6], then [7].).
If [5], then [3].
If (If [6], then [7].), then (If [0], then (Either [1] or [2].).).
Therefore, Either [3] or (If [0], then (Either [1] or [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].).
Not [8].
Therefore, Not [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (Either [1] or [2].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either (If [9], then [10].) or (Either [11] or [12].).
If (If [9], then [10].), then (Either [4] or (Not (Either [1] or [2].).).).
If (Either [11] or [12].), then (Either [4] or (Not (Either [1] or [2].).).).
Therefore, Either [4] or (Not (Either [1] or [2].).)..
[SC2-2]
Modus Ponens:
If [13], then (Not [4].).
[13]
Therefore, Not [4]..
|
{0: 'Most hyphae form continuous tubes.', 1: 'A skeet is a shoot.', 2: 'Cavities have purposes.', 3: 'Colds cause deafness.', 4: 'Cockroaches can eat just about anything, and can survive without food for long periods of time.', 5: 'Some periwinkles produce plants.', 6: 'Democracy depends upon a literate populace.', 7: 'Orchids have inferior ovaries.', 8: 'Hair grows from indentations in the outer skin layer called hair follicles.', 9: 'Gold refers to the old-orthodox community and painting of icons.', 10: 'Most badgers have sharp teeth.', 11: 'Mycenaean era ends with the destruction of that civilisation.', 12: 'Dumpers have (part) gasoline gauges.', 13: 'Teeth naturally demineralize and remineralize.'}
| 7 |
6,929 |
['We know that at least one of two things is true: judging cause controversy, or degenerates have (part) body substances.', 'Those that suggest genetics plays major roles are wrong.', 'There is good reason to believe that either mountain regions are colder with heavy winter snowfalls or a bird nest is a nest.', "When a bird nest is a nest is true, it follows that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then sidewalks are walkways.", 'On the condition that insects are cold-blooded, it is definitely the case that the claim that sidewalks are walkways does not correspond with reality.', "On the condition that the claim that if mountain regions are colder with heavy winter snowfalls, then if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then sidewalks are walkways has no merit, it is definitely the case that smokers are more likely to suffer from periodontal disease.", 'The statement that states smokers are more likely to suffer from periodontal disease is false.', "One may reasonably assume that if the claim that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then insects are cold-blooded does not correspond with reality, then wet rice is grown in the lowlands, and dry rice and corn are farmed in the upland areas.", "One may reasonably assume that if the claim that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then insects are cold-blooded does not correspond with reality, then the statement 'wet rice is grown in the lowlands, and dry rice and corn are farmed in the upland areas' can be considered false."]
|
We know that at least one of two things is true: judging cause controversy, or degenerates have (part) body substances. Those that suggest genetics plays major roles are wrong. There is good reason to believe that either mountain regions are colder with heavy winter snowfalls or a bird nest is a nest. When a bird nest is a nest is true, it follows that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then sidewalks are walkways. On the condition that insects are cold-blooded, it is definitely the case that the claim that sidewalks are walkways does not correspond with reality. On the condition that the claim that if mountain regions are colder with heavy winter snowfalls, then if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then sidewalks are walkways has no merit, it is definitely the case that smokers are more likely to suffer from periodontal disease. The statement that states smokers are more likely to suffer from periodontal disease is false. One may reasonably assume that if the claim that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then insects are cold-blooded does not correspond with reality, then wet rice is grown in the lowlands, and dry rice and corn are farmed in the upland areas. One may reasonably assume that if the claim that if the statement, either genetics plays major roles or the notion that 'judging cause controversy' is untrue, does not hold, then insects are cold-blooded does not correspond with reality, then the statement 'wet rice is grown in the lowlands, and dry rice and corn are farmed in the upland areas' can be considered false.
|
Those that suggest degenerates have (part) body substances are right.
|
The statement that 'degenerates have (part) body substances' is incorrect.
|
FALSE
|
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].
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (Not [1].).).), then [3]. [SC1-3]
If (Not (Either [2] or (Not [1].).).), then (Not [3].). [SC2-3]
Therefore, Either [2] or (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (Either [2] or (Not [1].).).), then [3].). [SC2-4]
If [6], then (If (Not (Either [2] or (Not [1].).).), then [3].).
Therefore, If (Not (Either [2] or (Not [1].).).), then [3]..
[SC2-4]
Modus Tonens:
If (Not (If [5], then (If (Not (Either [2] or (Not [1].).).), then [3].).).), then [8].
Not [8].
Therefore, If [5], then (If (Not (Either [2] or (Not [1].).).), then [3].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [2] or (Not [1].).).), then [4]. [SC1-4]
If [4], then (Not [3].).
Therefore, If (Not (Either [2] or (Not [1].).).), then (Not [3].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (Not [1].).).), then [4].).), then [7].
If (Not (If (Not (Either [2] or (Not [1].).).), then [4].).), then (Not [7].).
Therefore, If (Not (Either [2] or (Not [1].).).), then [4]..
|
{0: 'Degenerates have (part) body substances.', 1: 'Judging cause controversy.', 2: 'Genetics plays major roles.', 3: 'Sidewalks are walkways.', 4: 'Insects are cold-blooded.', 5: 'Mountain regions are colder with heavy winter snowfalls.', 6: 'A bird nest is a nest.', 7: 'Wet rice is grown in the lowlands, and dry rice and corn are farmed in the upland areas.', 8: 'Smokers are more likely to suffer from periodontal disease.'}
| 7 |
6,116 |
['We know that either resonance is a phenomenon which requires a or either water is essential for all living things or if horses graze in fields, then starches have an affinity for pepsin which is needed for protein digestion.', 'One may reasonably assume that if fresh ham has a delicate flavor that teams well with herbs, onions and garlic, then explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal.', 'Should it be the case that the claim that if if horses graze in fields, then starches have an affinity for pepsin which is needed for protein digestion, then explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal has no merit, it follows that shale is important because it contains the products of former life on earth, and their hydrocarbons.', 'Some people mistakenly believe that shale is important because it contains the products of former life on earth, and their hydrocarbons.', 'Either some chickens have lice or scanners translate information from paper, film, and bar codes into electronic data.', 'Assuming some chickens have lice, we know that the statement, resonance is a phenomenon which requires a, does not hold.', 'It is rational to believe that either if school buses are buses, then barrels allow the wine to breathe and absorb flavor and tannins from the wood or whales have (part) plasma membranes.', 'If if school buses are buses, then barrels allow the wine to breathe and absorb flavor and tannins from the wood, then if water is essential for all living things, then fresh ham has a delicate flavor that teams well with herbs, onions and garlic.', 'If whales have (part) plasma membranes, then if water is essential for all living things, then fresh ham has a delicate flavor that teams well with herbs, onions and garlic.', 'Either one or both of these statements are true: either springtails also thrive in damp crawlspaces or men use their economic power to maintain their standards of sex, or if scanners translate information from paper, film, and bar codes into electronic data, then the statement, resonance is a phenomenon which requires a, does not hold.', "The statement that 'either springtails also thrive in damp crawlspaces or men use their economic power to maintain their standards of sex' is incorrect."]
|
We know that either resonance is a phenomenon which requires a or either water is essential for all living things or if horses graze in fields, then starches have an affinity for pepsin which is needed for protein digestion. One may reasonably assume that if fresh ham has a delicate flavor that teams well with herbs, onions and garlic, then explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal. Should it be the case that the claim that if if horses graze in fields, then starches have an affinity for pepsin which is needed for protein digestion, then explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal has no merit, it follows that shale is important because it contains the products of former life on earth, and their hydrocarbons. Some people mistakenly believe that shale is important because it contains the products of former life on earth, and their hydrocarbons. Either some chickens have lice or scanners translate information from paper, film, and bar codes into electronic data. Assuming some chickens have lice, we know that the statement, resonance is a phenomenon which requires a, does not hold. It is rational to believe that either if school buses are buses, then barrels allow the wine to breathe and absorb flavor and tannins from the wood or whales have (part) plasma membranes. If if school buses are buses, then barrels allow the wine to breathe and absorb flavor and tannins from the wood, then if water is essential for all living things, then fresh ham has a delicate flavor that teams well with herbs, onions and garlic. If whales have (part) plasma membranes, then if water is essential for all living things, then fresh ham has a delicate flavor that teams well with herbs, onions and garlic. Either one or both of these statements are true: either springtails also thrive in damp crawlspaces or men use their economic power to maintain their standards of sex, or if scanners translate information from paper, film, and bar codes into electronic data, then the statement, resonance is a phenomenon which requires a, does not hold. The statement that 'either springtails also thrive in damp crawlspaces or men use their economic power to maintain their standards of sex' is incorrect.
|
The claim that explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal holds true.
|
Those that suggest explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal are wrong.
|
FALSE
|
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 [6] or (Either [1] or (If [2], then [3].).).
Not [6]. [SC2-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].). [SC3-3]
Therefore, Not [6]..
[SC3-3]
Disjunctive Syllogism:
Either (Either [12] or [13].) or (If [8], then (Not [6].).).
Not (Either [12] or [13].).
Therefore, If [8], then (Not [6].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [5]. [SC1-2]
If [5], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If [1], then [5].).
If [11], then (If [1], then [5].).
Therefore, If [1], then [5]..
[SC3-1]
Modus Tonens:
If (Not (If (If [2], then [3].), then [0].).), then [4].
Not [4].
Therefore, If (If [2], then [3].), then [0]..
|
{0: 'Explosive reactions occur with sulfinyl dichloride, warm potassium or sodium metal.', 1: 'Water is essential for all living things.', 2: 'Horses graze in fields.', 3: 'Starches have an affinity for pepsin which is needed for protein digestion.', 4: 'Shale is important because it contains the products of former life on earth, and their hydrocarbons.', 5: 'Fresh ham has a delicate flavor that teams well with herbs, onions and garlic.', 6: 'Resonance is a phenomenon which requires a.', 7: 'Some chickens have lice.', 8: 'Scanners translate information from paper, film, and bar codes into electronic data.', 9: 'School buses are buses.', 10: 'Barrels allow the wine to breathe and absorb flavor and tannins from the wood.', 11: 'Whales have (part) plasma membranes.', 12: 'Springtails also thrive in damp crawlspaces.', 13: 'Men use their economic power to maintain their standards of sex.'}
| 7 |
6,293 |
["The statement 'either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find' can be considered false.", 'When it is not the case that either norwegian has (part) nuclei or if some plants contain amino acid, then either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find is true, it follows that some people mistakenly believe that wildebeests develop cooperative behaviour.', 'When it is not the case that either norwegian has (part) nuclei or if some plants contain amino acid, then either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find is true, it follows that most electric circuits use a combination of series and parallel arrangements.', 'Assuming most electric circuits use a combination of series and parallel arrangements, we know that wildebeests develop cooperative behaviour.', 'Given that frontline spray is a small animal product for dogs and cats but is safe for goats, it can be inferred that tournaments are contests.', 'When tournaments are contests is true, it follows that the claim that norwegian has (part) nuclei does not correspond with reality.', 'We know that either porno is a proletarian form or frontline spray is a small animal product for dogs and cats but is safe for goats.', 'The claim that porno is a proletarian form does not reflect reality.']
|
The statement 'either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find' can be considered false. When it is not the case that either norwegian has (part) nuclei or if some plants contain amino acid, then either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find is true, it follows that some people mistakenly believe that wildebeests develop cooperative behaviour. When it is not the case that either norwegian has (part) nuclei or if some plants contain amino acid, then either feces are the primary source of infections or sparrows are usually easy on food and consume almost anything that they can find is true, it follows that most electric circuits use a combination of series and parallel arrangements. Assuming most electric circuits use a combination of series and parallel arrangements, we know that wildebeests develop cooperative behaviour. Given that frontline spray is a small animal product for dogs and cats but is safe for goats, it can be inferred that tournaments are contests. When tournaments are contests is true, it follows that the claim that norwegian has (part) nuclei does not correspond with reality. We know that either porno is a proletarian form or frontline spray is a small animal product for dogs and cats but is safe for goats. The claim that porno is a proletarian form does not reflect reality.
|
We know that the claim that some plants contain amino acid is false.
|
We know that the claim that some plants contain amino acid is false.
|
TRUE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then (Either [1] or [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If [0], then (Either [1] or [2].).).).), then [4]. [SC1-3]
If (Not (Either [3] or (If [0], then (Either [1] or [2].).).).), then (Not [4].).
Therefore, Either [3] or (If [0], then (Either [1] or [2].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [3] or (If [0], then (Either [1] or [2].).).).), then [8].
If [8], then [4].
Therefore, If (Not (Either [3] or (If [0], then (Either [1] or [2].).).).), then [4]..
[SC2-2]
Modus Ponens:
If [5], then (Not [3].). [SC1-3]
[5] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (Not [3].).
Therefore, If [5], then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
|
{0: 'Some plants contain amino acid.', 1: 'Feces are the primary source of infections.', 2: 'Sparrows are usually easy on food and consume almost anything that they can find.', 3: 'Norwegian has (part) nuclei.', 4: 'Wildebeests develop cooperative behaviour.', 5: 'Frontline spray is a small animal product for dogs and cats but is safe for goats.', 6: 'Porno is a proletarian form.', 7: 'Tournaments are contests.', 8: 'Most electric circuits use a combination of series and parallel arrangements.'}
| 7 |
6,076 |
["Given that the statement 'most heaths prefer moist but well drained, acidic soils and can even tolerate some shade' can be considered false, it can be inferred that direct glare occurs when lamps are poorly shielded.", 'It is not the case that heat moves through a material at a specific rate.', 'Once we know it is not the case that if the statement that states if direct glare occurs when lamps are poorly shielded, then cats weigh pounds is false, then heat moves through a material at a specific rate, we also know that sons attend schools.', 'The statement that states sons attend schools is false.', 'Either one or both of these statements are true: exercise imparts benefits to overall health and emotional well-being, or if cats weigh pounds, then some tails serve as legs.', 'The statement that states exercise imparts benefits to overall health and emotional well-being is false.', 'Provided that some tails serve as legs, we know that trees bear apples or plums far beyond the requirements of seed for reproduc- tion.', 'Some people mistakenly believe that trees bear apples or plums far beyond the requirements of seed for reproduc- tion.']
|
Given that the statement 'most heaths prefer moist but well drained, acidic soils and can even tolerate some shade' can be considered false, it can be inferred that direct glare occurs when lamps are poorly shielded. It is not the case that heat moves through a material at a specific rate. Once we know it is not the case that if the statement that states if direct glare occurs when lamps are poorly shielded, then cats weigh pounds is false, then heat moves through a material at a specific rate, we also know that sons attend schools. The statement that states sons attend schools is false. Either one or both of these statements are true: exercise imparts benefits to overall health and emotional well-being, or if cats weigh pounds, then some tails serve as legs. The statement that states exercise imparts benefits to overall health and emotional well-being is false. Provided that some tails serve as legs, we know that trees bear apples or plums far beyond the requirements of seed for reproduc- tion. Some people mistakenly believe that trees bear apples or plums far beyond the requirements of seed for reproduc- tion.
|
The statement 'most heaths prefer moist but well drained, acidic soils and can even tolerate some shade' can be considered true.
|
Heaths are countrysides.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [3]. [SC1-3]
Not [3].
Therefore, If [1], then [2]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [1], then [2].).), then [3].).), then [5].
Not [5].
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-2]
Modus Tonens:
If [2], then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [2], then [4].).
Not [7].
Therefore, If [2], then [4]..
[SC2-3]
Modus Tonens:
If [4], then [6].
Not [6].
Therefore, Not [4]..
|
{0: 'Most heaths prefer moist but well drained, acidic soils and can even tolerate some shade.', 1: 'Direct glare occurs when lamps are poorly shielded.', 2: 'Cats weigh pounds.', 3: 'Heat moves through a material at a specific rate.', 4: 'Some tails serve as legs.', 5: 'Sons attend schools.', 6: 'Trees bear apples or plums far beyond the requirements of seed for reproduc- tion.', 7: 'Exercise imparts benefits to overall health and emotional well-being.'}
| 7 |
6,048 |
["On the condition that rape is an act of physical and emotional violence, it is definitely the case that if the statement 'wounds is located in patients' can be considered false, then impotence is suffered to some extent by thirty million American men.", "Assuming trees to absorb sunlight, we know that if the statement 'wounds is located in patients' can be considered false, then impotence is suffered to some extent by thirty million American men.", 'We know that at least one of two things is true: organisms usually become dormant in places hav- ing fairly uniform environments, or if christian education is more than the transmission of knowledge, then neutrinos play an important role for the dynamics of supernovae .', "One may reasonably assume that if organisms usually become dormant in places hav- ing fairly uniform environments, then the statement 'impotence is suffered to some extent by thirty million American men' can be considered false.", "On the condition that if christian education is more than the transmission of knowledge, then neutrinos play an important role for the dynamics of supernovae , it is definitely the case that the statement 'impotence is suffered to some extent by thirty million American men' can be considered false.", 'Those that suggest exponential notation is useful in situations where the same number is multiplied repeatedly are wrong.', 'On the condition that we know that the claim that either truth has a manifold of meanings or either exponential notation is useful in situations where the same number is multiplied repeatedly or either rape is an act of physical and emotional violence or trees to absorb sunlight is false, it is definitely the case that space is defined as a mesh and time as individual time steps, like the frames in a motion picture.', 'The claim that space is defined as a mesh and time as individual time steps, like the frames in a motion picture does not correspond with reality.', 'If truth has a manifold of meanings, then if phytoplankton absorb both across their cell walls, then historiographies are literature.', 'It is not true that if phytoplankton absorb both across their cell walls, then historiographies are literature.']
|
On the condition that rape is an act of physical and emotional violence, it is definitely the case that if the statement 'wounds is located in patients' can be considered false, then impotence is suffered to some extent by thirty million American men. Assuming trees to absorb sunlight, we know that if the statement 'wounds is located in patients' can be considered false, then impotence is suffered to some extent by thirty million American men. We know that at least one of two things is true: organisms usually become dormant in places hav- ing fairly uniform environments, or if christian education is more than the transmission of knowledge, then neutrinos play an important role for the dynamics of supernovae . One may reasonably assume that if organisms usually become dormant in places hav- ing fairly uniform environments, then the statement 'impotence is suffered to some extent by thirty million American men' can be considered false. On the condition that if christian education is more than the transmission of knowledge, then neutrinos play an important role for the dynamics of supernovae , it is definitely the case that the statement 'impotence is suffered to some extent by thirty million American men' can be considered false. Those that suggest exponential notation is useful in situations where the same number is multiplied repeatedly are wrong. On the condition that we know that the claim that either truth has a manifold of meanings or either exponential notation is useful in situations where the same number is multiplied repeatedly or either rape is an act of physical and emotional violence or trees to absorb sunlight is false, it is definitely the case that space is defined as a mesh and time as individual time steps, like the frames in a motion picture. The claim that space is defined as a mesh and time as individual time steps, like the frames in a motion picture does not correspond with reality. If truth has a manifold of meanings, then if phytoplankton absorb both across their cell walls, then historiographies are literature. It is not true that if phytoplankton absorb both across their cell walls, then historiographies are literature.
|
It is reasonable to believe that wounds is located in patients.
|
It is reasonable to believe that wounds is located in patients.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (If (Not [0].), then [1].).
If [6], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].). [SC1-3]
Not [7].
Therefore, Either [5] or [6]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (Either [7] or (Either [5] or [6].).). [SC1-4]
Not [8]. [SC2-4]
Therefore, Either [7] or (Either [5] or [6].)..
[SC1-4]
Modus Tonens:
If (Not (Either [8] or (Either [7] or (Either [5] or [6].).).).), then [11].
Not [11].
Therefore, Either [8] or (Either [7] or (Either [5] or [6].).)..
[SC2-4]
Modus Tonens:
If [8], then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Not [8]..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (Not [1].).
If (If [3], then [4].), then (Not [1].).
Therefore, Not [1]..
|
{0: 'Wounds is located in patients.', 1: 'Impotence is suffered to some extent by thirty million American men.', 2: 'Organisms usually become dormant in places hav- ing fairly uniform environments.', 3: 'Christian education is more than the transmission of knowledge.', 4: 'Neutrinos play an important role for the dynamics of supernovae .', 5: 'Rape is an act of physical and emotional violence.', 6: 'Trees to absorb sunlight.', 7: 'Exponential notation is useful in situations where the same number is multiplied repeatedly.', 8: 'Truth has a manifold of meanings.', 9: 'Phytoplankton absorb both across their cell walls.', 10: 'Historiographies are literature.', 11: 'Space is defined as a mesh and time as individual time steps, like the frames in a motion picture.'}
| 7 |
6,503 |
['The claim that history is a living body of knowledge, the collected and organized record for humanity does not reflect reality.', 'One may reasonably assume that if academic potential is the single ground on which candidates are admitted, then if human behavior is a reflection of brain function, then history is a living body of knowledge, the collected and organized record for humanity.', 'It is true that predictions include information.', "Assuming the statement 'if predictions include information, then academic potential is the single ground on which candidates are admitted' can be considered false, we know that if women are a dynamic force in the labor movement, then archaeology is a process of reinterpretation.", "On the condition that orthognathic surgery is performed by dental specialists, called oral and maxillofacial surgeons, it is definitely the case that if the statement 'if predictions include information, then academic potential is the single ground on which candidates are admitted' can be considered false, then recessive red is epistatic to spread.", 'It is a simple truth that orthognathic surgery is performed by dental specialists, called oral and maxillofacial surgeons.', 'Once we know recessive red is epistatic to spread, we also know that either medullary vessels are sufficient to maintain perfusion or information is money and power in the business world.', 'Assuming either medullary vessels are sufficient to maintain perfusion or information is money and power in the business world, we know that we know that the claim that if women are a dynamic force in the labor movement, then archaeology is a process of reinterpretation is false.']
|
The claim that history is a living body of knowledge, the collected and organized record for humanity does not reflect reality. One may reasonably assume that if academic potential is the single ground on which candidates are admitted, then if human behavior is a reflection of brain function, then history is a living body of knowledge, the collected and organized record for humanity. It is true that predictions include information. Assuming the statement 'if predictions include information, then academic potential is the single ground on which candidates are admitted' can be considered false, we know that if women are a dynamic force in the labor movement, then archaeology is a process of reinterpretation. On the condition that orthognathic surgery is performed by dental specialists, called oral and maxillofacial surgeons, it is definitely the case that if the statement 'if predictions include information, then academic potential is the single ground on which candidates are admitted' can be considered false, then recessive red is epistatic to spread. It is a simple truth that orthognathic surgery is performed by dental specialists, called oral and maxillofacial surgeons. Once we know recessive red is epistatic to spread, we also know that either medullary vessels are sufficient to maintain perfusion or information is money and power in the business world. Assuming either medullary vessels are sufficient to maintain perfusion or information is money and power in the business world, we know that we know that the claim that if women are a dynamic force in the labor movement, then archaeology is a process of reinterpretation is false.
|
The claim that human behavior is a reflection of brain function is false.
|
The statement that states human behavior is affected both by genetic inheritance and by experience is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].).
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If [3], then [2]. [SC1-3]
[3]
Therefore, [2].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [2].).), then (If [4], then [5].).
If (Not (If [3], then [2].).), then (Not (If [4], then [5].).). [SC2-4]
Therefore, If [3], then [2]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If [3], then [2].).), then [6]. [SC1-5]
If [6], then (Not (If [4], then [5].).). [SC2-5]
Therefore, If (Not (If [3], then [2].).), then (Not (If [4], then [5].).)..
[SC1-5]
Modus Ponens:
If [7], then (If (Not (If [3], then [2].).), then [6].).
[7]
Therefore, If (Not (If [3], then [2].).), then [6]..
[SC2-5]
Hypothetical Syllogism:
If [6], then (Either [8] or [9].).
If (Either [8] or [9].), then (Not (If [4], then [5].).).
Therefore, If [6], then (Not (If [4], then [5].).)..
|
{0: 'Human behavior is a reflection of brain function.', 1: 'History is a living body of knowledge, the collected and organized record for humanity.', 2: 'Academic potential is the single ground on which candidates are admitted.', 3: 'Predictions include information.', 4: 'Women are a dynamic force in the labor movement.', 5: 'Archaeology is a process of reinterpretation.', 6: 'Recessive red is epistatic to spread.', 7: 'Orthognathic surgery is performed by dental specialists, called oral and maxillofacial surgeons.', 8: 'Medullary vessels are sufficient to maintain perfusion.', 9: 'Information is money and power in the business world.'}
| 7 |
6,263 |
['If either some insects produce acid or energy associates with molecular transitions, then the statement that states salt pork is pork is false.', "There is good reason to believe that either recycling harnesses the nutrients and organic matter present in biosolids or either every acid has a conjugate base formed by removing the acid's proton or eastern philosophy is based on the individual's experience.", 'If recycling harnesses the nutrients and organic matter present in biosolids, then the statement that states advisees are people is false.', "On the condition that the claim that if the statement 'if the statement that states either some insects produce acid or energy associates with molecular transitions is false, then advisees are people' can be considered false, then nutrition is essential to good health and vitality does not correspond with reality, it is definitely the case that clouds form in many sizes and shapes.", "Assuming the claim that if the statement 'if the statement that states either some insects produce acid or energy associates with molecular transitions is false, then advisees are people' can be considered false, then nutrition is essential to good health and vitality does not correspond with reality, we know that the notion that 'clouds form in many sizes and shapes' is untrue.", "Provided that deception is a mainstay of thought reform cults and groups, we know that the notion that 'nutrition is essential to good health and vitality' is untrue.", 'We can assume that deception is a mainstay of thought reform cults and groups.', "We know that at least one of two things is true: belts conform to the exact shape of the tree's diameter, or if either every acid has a conjugate base formed by removing the acid's proton or eastern philosophy is based on the individual's experience, then the statement that states advisees are people is false.", "The statement that states belts conform to the exact shape of the tree's diameter is false."]
|
If either some insects produce acid or energy associates with molecular transitions, then the statement that states salt pork is pork is false. There is good reason to believe that either recycling harnesses the nutrients and organic matter present in biosolids or either every acid has a conjugate base formed by removing the acid's proton or eastern philosophy is based on the individual's experience. If recycling harnesses the nutrients and organic matter present in biosolids, then the statement that states advisees are people is false. On the condition that the claim that if the statement 'if the statement that states either some insects produce acid or energy associates with molecular transitions is false, then advisees are people' can be considered false, then nutrition is essential to good health and vitality does not correspond with reality, it is definitely the case that clouds form in many sizes and shapes. Assuming the claim that if the statement 'if the statement that states either some insects produce acid or energy associates with molecular transitions is false, then advisees are people' can be considered false, then nutrition is essential to good health and vitality does not correspond with reality, we know that the notion that 'clouds form in many sizes and shapes' is untrue. Provided that deception is a mainstay of thought reform cults and groups, we know that the notion that 'nutrition is essential to good health and vitality' is untrue. We can assume that deception is a mainstay of thought reform cults and groups. We know that at least one of two things is true: belts conform to the exact shape of the tree's diameter, or if either every acid has a conjugate base formed by removing the acid's proton or eastern philosophy is based on the individual's experience, then the statement that states advisees are people is false. The statement that states belts conform to the exact shape of the tree's diameter is false.
|
The statement that states salt pork is pork is false.
|
The statement that states salt pork is pork is false.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].).
Either [1] or [2]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [2].).), then [3].).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (Either [1] or [2].).), then [3].).), then [4].).), then [10].
If (Not (If (Not (If (Not (Either [1] or [2].).), then [3].).), then [4].).), then (Not [10].).
Therefore, If (Not (If (Not (Either [1] or [2].).), then [3].).), then [4]..
[SC2-3]
Modus Ponens:
If [9], then (Not [4].).
[9]
Therefore, Not [4]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Not [3].).
If (Either [6] or [7].), then (Not [3].). [SC3-3]
Therefore, Not [3]..
[SC3-3]
Disjunctive Syllogism:
Either [8] or (If (Either [6] or [7].), then (Not [3].).).
Not [8].
Therefore, If (Either [6] or [7].), then (Not [3].)..
|
{0: 'Salt pork is pork.', 1: 'Some insects produce acid.', 2: 'Energy associates with molecular transitions.', 3: 'Advisees are people.', 4: 'Nutrition is essential to good health and vitality.', 5: 'Recycling harnesses the nutrients and organic matter present in biosolids.', 6: "Every acid has a conjugate base formed by removing the acid's proton.", 7: "Eastern philosophy is based on the individual's experience.", 8: "Belts conform to the exact shape of the tree's diameter.", 9: 'Deception is a mainstay of thought reform cults and groups.', 10: 'Clouds form in many sizes and shapes.'}
| 7 |
6,808 |
['It is a fact that either if breast cancer grows rather slowly, then vampirisms are beliefs or the claim that every breeder has a pair of scales does not correspond with reality.', 'Provided that if breast cancer grows rather slowly, then vampirisms are beliefs, we know that either scorpions have small eyes and very poor vision or some growth cones consist of filament.', 'Given that the claim that if either scorpions have small eyes and very poor vision or some growth cones consist of filament, then meat has hollow bones has no merit, it can be inferred that those that suggest seeds pass through digestive tracts and are deposited randomly by animals are wrong.', 'Either heart failure is a complex problem, best treated by a team of experienced professionals or some people mistakenly believe that meat has hollow bones.', 'Once we know the claim that if the claim that if either scorpions have small eyes and very poor vision or some growth cones consist of filament, then meat has hollow bones has no merit, then seeds pass through digestive tracts and are deposited randomly by animals does not correspond with reality, we also know that oltenian sausages are famous.', "The notion that 'oltenian sausages are famous' is untrue.", 'We know that either newts swim in water or saguaros take a very long time to grow.', "So long as newts swim in water, 'it is a common misconception that heart failure is a complex problem, best treated by a team of experienced professionals' is true.", 'If saguaros take a very long time to grow, then it is a common misconception that heart failure is a complex problem, best treated by a team of experienced professionals.']
|
It is a fact that either if breast cancer grows rather slowly, then vampirisms are beliefs or the claim that every breeder has a pair of scales does not correspond with reality. Provided that if breast cancer grows rather slowly, then vampirisms are beliefs, we know that either scorpions have small eyes and very poor vision or some growth cones consist of filament. Given that the claim that if either scorpions have small eyes and very poor vision or some growth cones consist of filament, then meat has hollow bones has no merit, it can be inferred that those that suggest seeds pass through digestive tracts and are deposited randomly by animals are wrong. Either heart failure is a complex problem, best treated by a team of experienced professionals or some people mistakenly believe that meat has hollow bones. Once we know the claim that if the claim that if either scorpions have small eyes and very poor vision or some growth cones consist of filament, then meat has hollow bones has no merit, then seeds pass through digestive tracts and are deposited randomly by animals does not correspond with reality, we also know that oltenian sausages are famous. The notion that 'oltenian sausages are famous' is untrue. We know that either newts swim in water or saguaros take a very long time to grow. So long as newts swim in water, 'it is a common misconception that heart failure is a complex problem, best treated by a team of experienced professionals' is true. If saguaros take a very long time to grow, then it is a common misconception that heart failure is a complex problem, best treated by a team of experienced professionals.
|
The claim that every breeder has a pair of scales does not correspond with reality.
|
It is a common misconception that breeders are humans.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].).
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Tonens:
If (Either [3] or [4].), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then [5].).), then [6]. [SC1-4]
If (Not (If (Either [3] or [4].), then [5].).), then (Not [6].).
Therefore, If (Either [3] or [4].), then [5]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Either [3] or [4].), then [5].).), then [6].).), then [8].
Not [8].
Therefore, If (Not (If (Either [3] or [4].), then [5].).), then [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7]. [SC2-4]
Therefore, Not [5]..
[SC2-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [7].).
If [10], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Every breeder has a pair of scales.', 1: 'Breast cancer grows rather slowly.', 2: 'Vampirisms are beliefs.', 3: 'Scorpions have small eyes and very poor vision.', 4: 'Some growth cones consist of filament.', 5: 'Meat has hollow bones.', 6: 'Seeds pass through digestive tracts and are deposited randomly by animals.', 7: 'Heart failure is a complex problem, best treated by a team of experienced professionals.', 8: 'Oltenian sausages are famous.', 9: 'Newts swim in water.', 10: 'Saguaros take a very long time to grow.'}
| 7 |
6,863 |
['At least one of two things is true: tortoises have dome shells, or social isolation is one factor many women struggle with.', "On the condition that tortoises have dome shells, it is definitely the case that witchcraft is a way of tuning one's self into nature and the natural energies found in all things.", 'If social isolation is one factor many women struggle with, then hardship is difficulty.', "The statement that 'either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world' is incorrect.", 'Should it be the case that cubs are totally helpless at birth, with eyes closed until the end of their first week, it follows that if hardship is difficulty, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin.', "The statement 'cubs are totally helpless at birth, with eyes closed until the end of their first week' can be considered true.", "If the statement, either either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections or if it is not the case that if witchcraft is a way of tuning one's self into nature and the natural energies found in all things, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin, then either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world, does not hold, then wood turtles are good climbers.", "Whenever it is true that the statement, either either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections or if it is not the case that if witchcraft is a way of tuning one's self into nature and the natural energies found in all things, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin, then either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world, does not hold, 'some people mistakenly believe that wood turtles are good climbers' is true.", 'We know that at least one of two things is true: some scientists work in biology, or it is a common misconception that either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections.', 'Some people mistakenly believe that some scientists work in biology.']
|
At least one of two things is true: tortoises have dome shells, or social isolation is one factor many women struggle with. On the condition that tortoises have dome shells, it is definitely the case that witchcraft is a way of tuning one's self into nature and the natural energies found in all things. If social isolation is one factor many women struggle with, then hardship is difficulty. The statement that 'either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world' is incorrect. Should it be the case that cubs are totally helpless at birth, with eyes closed until the end of their first week, it follows that if hardship is difficulty, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin. The statement 'cubs are totally helpless at birth, with eyes closed until the end of their first week' can be considered true. If the statement, either either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections or if it is not the case that if witchcraft is a way of tuning one's self into nature and the natural energies found in all things, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin, then either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world, does not hold, then wood turtles are good climbers. Whenever it is true that the statement, either either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections or if it is not the case that if witchcraft is a way of tuning one's self into nature and the natural energies found in all things, then cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin, then either services exports are also an important indicator of progress towards a knowledge-based economy or terrorist attacks affect financial markets around the world, does not hold, 'some people mistakenly believe that wood turtles are good climbers' is true. We know that at least one of two things is true: some scientists work in biology, or it is a common misconception that either orthopedic services are some of the most widely rendered in the United States or whips have (part) sections. Some people mistakenly believe that some scientists work in biology.
|
It is the case that cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin.
|
The statement 'cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin' can be considered false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [6] or [7].
If [6], then [1].
If [7], then [2].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (Either [4] or [5].). [SC1-2]
Not (Either [4] or [5].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If (Not (If [1], then [0].).), then (Either [4] or [5].).). [SC1-3]
Not (Either [8] or [9].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Either [4] or [5].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [8] or [9].) or (If (Not (If [1], then [0].).), then (Either [4] or [5].).).).), then [11].
If (Not (Either (Either [8] or [9].) or (If (Not (If [1], then [0].).), then (Either [4] or [5].).).).), then (Not [11].).
Therefore, Either (Either [8] or [9].) or (If (Not (If [1], then [0].).), then (Either [4] or [5].).)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (Not (Either [8] or [9].).).
Not [10].
Therefore, Not (Either [8] or [9].)..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].).
[3]
Therefore, If [2], then [0]..
|
{0: 'Cervical cancer develops once the abnormal cells extend beyond the full thickness of the skin.', 1: "Witchcraft is a way of tuning one's self into nature and the natural energies found in all things.", 2: 'Hardship is difficulty.', 3: 'Cubs are totally helpless at birth, with eyes closed until the end of their first week.', 4: 'Services exports are also an important indicator of progress towards a knowledge-based economy.', 5: 'Terrorist attacks affect financial markets around the world.', 6: 'Tortoises have dome shells.', 7: 'Social isolation is one factor many women struggle with.', 8: 'Orthopedic services are some of the most widely rendered in the United States.', 9: 'Whips have (part) sections.', 10: 'Some scientists work in biology.', 11: 'Wood turtles are good climbers.'}
| 7 |
6,748 |
['Provided that it is not true that either pediatric dentists provide care for their specific age group of patients or we know that the claim that most obstructions dissolve on their own within the first few months of life is false, we know that most anoles possess ability.', "So long as pediatric dentists provide care for their specific age group of patients, 'the statement 'paint is located in cabinets' can be considered false' is true.", 'If most anoles possess ability, then chocolate can trigger migraine headaches.', 'There is good reason to believe that either limestone is a source of calcium or if pediatric dentists provide care for their specific age group of patients, then paint is located in cabinets.', 'One may reasonably assume that if science is the search for neat, predictable curves, compact ways of summarizing the data, then if most anoles possess ability, then the statement that states chocolate can trigger migraine headaches is false.', 'Many people rightly believe that science is the search for neat, predictable curves, compact ways of summarizing the data.', 'We know that either durango is part of Mexico or the statement, limestone is a source of calcium, does not hold.', 'It is not true that durango is part of Mexico.']
|
Provided that it is not true that either pediatric dentists provide care for their specific age group of patients or we know that the claim that most obstructions dissolve on their own within the first few months of life is false, we know that most anoles possess ability. So long as pediatric dentists provide care for their specific age group of patients, 'the statement 'paint is located in cabinets' can be considered false' is true. If most anoles possess ability, then chocolate can trigger migraine headaches. There is good reason to believe that either limestone is a source of calcium or if pediatric dentists provide care for their specific age group of patients, then paint is located in cabinets. One may reasonably assume that if science is the search for neat, predictable curves, compact ways of summarizing the data, then if most anoles possess ability, then the statement that states chocolate can trigger migraine headaches is false. Many people rightly believe that science is the search for neat, predictable curves, compact ways of summarizing the data. We know that either durango is part of Mexico or the statement, limestone is a source of calcium, does not hold. It is not true that durango is part of Mexico.
|
We know that the claim that most obstructions dissolve on their own within the first few months of life is false.
|
Some people mistakenly believe that obstructions are maneuvers.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Ponens:
If [7], then (If [2], then (Not [4].).).
[7]
Therefore, If [2], then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then [3].).
Not [5]. [SC2-3]
Therefore, If [1], then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
|
{0: 'Most obstructions dissolve on their own within the first few months of life.', 1: 'Pediatric dentists provide care for their specific age group of patients.', 2: 'Most anoles possess ability.', 3: 'Paint is located in cabinets.', 4: 'Chocolate can trigger migraine headaches.', 5: 'Limestone is a source of calcium.', 6: 'Durango is part of Mexico.', 7: 'Science is the search for neat, predictable curves, compact ways of summarizing the data.'}
| 7 |
6,064 |
["One may reasonably assume that if the claim that either stellar nurseries are special regions where the vast majority of new stars in the galaxy are born or the statement 'some salamanders make noise' can be considered false is false, then wiota soils have more fine and coarser sand in the solum and allow more sandy stratified substrata.", 'One may reasonably assume that if wiota soils have more fine and coarser sand in the solum and allow more sandy stratified substrata, then some flukes enter bile ducts.', 'The claim that some flukes enter bile ducts does not reflect reality.', 'On the condition that either livestock has (part) vertebrate feet or types can have impact, it is definitely the case that if maples have circumferences, then we know that the claim that stellar nurseries are special regions where the vast majority of new stars in the galaxy are born is false.', 'Either one or both of these statements are true: livestock has (part) vertebrate feet, or types can have impact.', "Given that the statement, maples have circumferences, does not hold, it can be inferred that the statement that states either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage is false.", "Provided that it is a common misconception that if the statement, maples have circumferences, does not hold, then either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage, we know that a snipe is a wader.", "If it is a common misconception that if the statement, maples have circumferences, does not hold, then either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage, then the claim that a snipe is a wader has no merit."]
|
One may reasonably assume that if the claim that either stellar nurseries are special regions where the vast majority of new stars in the galaxy are born or the statement 'some salamanders make noise' can be considered false is false, then wiota soils have more fine and coarser sand in the solum and allow more sandy stratified substrata. One may reasonably assume that if wiota soils have more fine and coarser sand in the solum and allow more sandy stratified substrata, then some flukes enter bile ducts. The claim that some flukes enter bile ducts does not reflect reality. On the condition that either livestock has (part) vertebrate feet or types can have impact, it is definitely the case that if maples have circumferences, then we know that the claim that stellar nurseries are special regions where the vast majority of new stars in the galaxy are born is false. Either one or both of these statements are true: livestock has (part) vertebrate feet, or types can have impact. Given that the statement, maples have circumferences, does not hold, it can be inferred that the statement that states either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage is false. Provided that it is a common misconception that if the statement, maples have circumferences, does not hold, then either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage, we know that a snipe is a wader. If it is a common misconception that if the statement, maples have circumferences, does not hold, then either oceanic countries are island countries found in the Pacific Ocean or folktales are an integral part of Louisiana's heritage, then the claim that a snipe is a wader has no merit.
|
The statement 'some salamanders make noise' can be considered false.
|
The statement 'some salamanders make noise' can be considered false.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [3].
Not [3]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Tonens:
If [3], then [8].
Not [8].
Therefore, Not [3]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (Either [6] or [7].), then (If [2], then (Not [1].).).
Either [6] or [7].
Therefore, If [2], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then (Either [4] or [5].). [SC1-3]
If (Not [2].), then (Not (Either [4] or [5].).).
Therefore, [2].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then (Either [4] or [5].).).), then [9].
If (Not (If (Not [2].), then (Either [4] or [5].).).), then (Not [9].).
Therefore, If (Not [2].), then (Either [4] or [5].)..
|
{0: 'Some salamanders make noise.', 1: 'Stellar nurseries are special regions where the vast majority of new stars in the galaxy are born.', 2: 'Maples have circumferences.', 3: 'Wiota soils have more fine and coarser sand in the solum and allow more sandy stratified substrata.', 4: 'Oceanic countries are island countries found in the Pacific Ocean .', 5: "Folktales are an integral part of Louisiana's heritage.", 6: 'Livestock has (part) vertebrate feet.', 7: 'Types can have impact.', 8: 'Some flukes enter bile ducts.', 9: 'A snipe is a wader.'}
| 7 |
6,798 |
["Given that the statement that 'if households give charity, then food storage is a strategy also adopted by red squirrels' is incorrect, it can be inferred that sweeps are software.", 'Assuming food storage is a strategy also adopted by red squirrels, we know that it is a common misconception that bad children are located in corners.', "Either one or both of these statements are true: arteries are too large to service every little cell in the body, or if the statement that 'if households give charity, then food storage is a strategy also adopted by red squirrels' is incorrect, then the notion that 'sweeps are software' is untrue.", 'Some people mistakenly believe that arteries are too large to service every little cell in the body.', 'At least one of two things is true: heavenly bodies are superior to earthly bodies, or if food storage is a strategy also adopted by red squirrels, then bad children are located in corners.', 'Assuming women use sanitary pads or tampons to absorb menstrual flow, we know that the claim that heavenly bodies are superior to earthly bodies is false.', 'Either grizzly bears are adapted for more open country and have longer claws for digging or if neuralgias are attacks of sharp stabbing pain or constant burning, then gazelles have (part) ears.', 'Provided that grizzly bears are adapted for more open country and have longer claws for digging, we know that women use sanitary pads or tampons to absorb menstrual flow.', 'Should it be the case that if neuralgias are attacks of sharp stabbing pain or constant burning, then gazelles have (part) ears, it follows that women use sanitary pads or tampons to absorb menstrual flow.']
|
Given that the statement that 'if households give charity, then food storage is a strategy also adopted by red squirrels' is incorrect, it can be inferred that sweeps are software. Assuming food storage is a strategy also adopted by red squirrels, we know that it is a common misconception that bad children are located in corners. Either one or both of these statements are true: arteries are too large to service every little cell in the body, or if the statement that 'if households give charity, then food storage is a strategy also adopted by red squirrels' is incorrect, then the notion that 'sweeps are software' is untrue. Some people mistakenly believe that arteries are too large to service every little cell in the body. At least one of two things is true: heavenly bodies are superior to earthly bodies, or if food storage is a strategy also adopted by red squirrels, then bad children are located in corners. Assuming women use sanitary pads or tampons to absorb menstrual flow, we know that the claim that heavenly bodies are superior to earthly bodies is false. Either grizzly bears are adapted for more open country and have longer claws for digging or if neuralgias are attacks of sharp stabbing pain or constant burning, then gazelles have (part) ears. Provided that grizzly bears are adapted for more open country and have longer claws for digging, we know that women use sanitary pads or tampons to absorb menstrual flow. Should it be the case that if neuralgias are attacks of sharp stabbing pain or constant burning, then gazelles have (part) ears, it follows that women use sanitary pads or tampons to absorb menstrual flow.
|
The claim that households give charity does not correspond with reality.
|
The claim that households give charity holds 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 [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Not (If [0], then [1].).), then (Not [2].).).
Not [5].
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [3].).
Not [4]. [SC2-3]
Therefore, If [1], then [3]..
[SC2-3]
Modus Ponens:
If [6], then (Not [4].).
[6] [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then [6].
If (If [8], then [9].), then [6].
Therefore, [6].
|
{0: 'Households give charity.', 1: 'Food storage is a strategy also adopted by red squirrels.', 2: 'Sweeps are software.', 3: 'Bad children are located in corners.', 4: 'Heavenly bodies are superior to earthly bodies.', 5: 'Arteries are too large to service every little cell in the body.', 6: 'Women use sanitary pads or tampons to absorb menstrual flow.', 7: 'Grizzly bears are adapted for more open country and have longer claws for digging.', 8: 'Neuralgias are attacks of sharp stabbing pain or constant burning.', 9: 'Gazelles have (part) ears.'}
| 7 |
6,052 |
['Given that some people mistakenly believe that if it is not true that either unpurified coals are simulated by mixing charcoal and sulfur powder together or schemers are planners, then all thunderstorms go through various stages of growth, development, and dissipation, it can be inferred that the statement that states if comets do it easily whenever they pass close enough to the sun to heat their frozen nucleus, then plants have an immune system is false.', 'We know that either patients are humans or the statement that states all thunderstorms go through various stages of growth, development, and dissipation is false.', 'If plastic film can enable a farmer to cut, bale, and wrap the hay all in one day, then if some people mistakenly believe that if it is not true that either unpurified coals are simulated by mixing charcoal and sulfur powder together or schemers are planners, then all thunderstorms go through various stages of growth, development, and dissipation, then if comets do it easily whenever they pass close enough to the sun to heat their frozen nucleus, then plants have an immune system.', 'Provided that patients are humans, we know that either developmental difficulties are apparent before three years of age or chrysoprase is the most valuable variety of chalcedony, a microcrystalline form of quartz.', 'If patients are humans, then the claim that either developmental difficulties are apparent before three years of age or chrysoprase is the most valuable variety of chalcedony, a microcrystalline form of quartz has no merit.', 'When stress can slow brain development is true, it follows that stressful events produce strong emotions, which arouse certain physical responses.', 'There is good reason to believe that either feathers are highly modified scales, and are important in several ways or some smoke harms babies.', 'One may reasonably assume that if feathers are highly modified scales, and are important in several ways, then if if stress can slow brain development, then stressful events produce strong emotions, which arouse certain physical responses, then plastic film can enable a farmer to cut, bale, and wrap the hay all in one day.', 'If some smoke harms babies, then if if stress can slow brain development, then stressful events produce strong emotions, which arouse certain physical responses, then plastic film can enable a farmer to cut, bale, and wrap the hay all in one day.']
|
Given that some people mistakenly believe that if it is not true that either unpurified coals are simulated by mixing charcoal and sulfur powder together or schemers are planners, then all thunderstorms go through various stages of growth, development, and dissipation, it can be inferred that the statement that states if comets do it easily whenever they pass close enough to the sun to heat their frozen nucleus, then plants have an immune system is false. We know that either patients are humans or the statement that states all thunderstorms go through various stages of growth, development, and dissipation is false. If plastic film can enable a farmer to cut, bale, and wrap the hay all in one day, then if some people mistakenly believe that if it is not true that either unpurified coals are simulated by mixing charcoal and sulfur powder together or schemers are planners, then all thunderstorms go through various stages of growth, development, and dissipation, then if comets do it easily whenever they pass close enough to the sun to heat their frozen nucleus, then plants have an immune system. Provided that patients are humans, we know that either developmental difficulties are apparent before three years of age or chrysoprase is the most valuable variety of chalcedony, a microcrystalline form of quartz. If patients are humans, then the claim that either developmental difficulties are apparent before three years of age or chrysoprase is the most valuable variety of chalcedony, a microcrystalline form of quartz has no merit. When stress can slow brain development is true, it follows that stressful events produce strong emotions, which arouse certain physical responses. There is good reason to believe that either feathers are highly modified scales, and are important in several ways or some smoke harms babies. One may reasonably assume that if feathers are highly modified scales, and are important in several ways, then if if stress can slow brain development, then stressful events produce strong emotions, which arouse certain physical responses, then plastic film can enable a farmer to cut, bale, and wrap the hay all in one day. If some smoke harms babies, then if if stress can slow brain development, then stressful events produce strong emotions, which arouse certain physical responses, then plastic film can enable a farmer to cut, bale, and wrap the hay all in one day.
|
Either one or both of these statements are true: unpurified coals are simulated by mixing charcoal and sulfur powder together, or schemers are planners.
|
Those that suggest either unpurified coals are simulated by mixing charcoal and sulfur powder together or schemers are planners are wrong.
|
FALSE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (If [3], then [4].). [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (If [3], then [4].).).
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (If [3], then [4].).).
[6] [SC2-3]
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (If [3], then [4].)..
[SC2-3]
Modus Ponens:
If (If [9], then [10].), then [6]. [SC1-4]
If [9], then [10].
Therefore, [6].
[SC1-4]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (If [9], then [10].), then [6].).
If [12], then (If (If [9], then [10].), then [6].).
Therefore, If (If [9], then [10].), then [6]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Reductio Ad Absurdum:
If [5], then (Either [7] or [8].).
If [5], then (Not (Either [7] or [8].).).
Therefore, Not [5]..
|
{0: 'Unpurified coals are simulated by mixing charcoal and sulfur powder together.', 1: 'Schemers are planners.', 2: 'All thunderstorms go through various stages of growth, development, and dissipation.', 3: 'Comets do it easily whenever they pass close enough to the sun to heat their frozen nucleus.', 4: 'Plants have an immune system.', 5: 'Patients are humans.', 6: 'Plastic film can enable a farmer to cut, bale, and wrap the hay all in one day.', 7: 'Developmental difficulties are apparent before three years of age.', 8: 'Chrysoprase is the most valuable variety of chalcedony, a microcrystalline form of quartz.', 9: 'Stress can slow brain development.', 10: 'Stressful events produce strong emotions, which arouse certain physical responses.', 11: 'Feathers are highly modified scales, and are important in several ways.', 12: 'Some smoke harms babies.'}
| 7 |
6,440 |
['It is rational to believe that either nektons have (part) cell membranes or some monkeys eat animals.', 'On the condition that nektons have (part) cell membranes, it is definitely the case that either most mammals are nose breathers or some plants have peculiar habits.', 'Assuming some monkeys eat animals, we know that either most mammals are nose breathers or some plants have peculiar habits.', 'Either one or both of these statements are true: small breeds reach adult body weight, or it is not the case that most mammals are nose breathers.', "One may reasonably assume that if some people keep frogs, then the statement that 'small breeds reach adult body weight' is incorrect.", "The statement that 'most trees grow up to feet' is incorrect.", 'One may reasonably assume that if either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads, then most trees grow up to feet.', 'Either social network sites have average users or light objects have less mass.', "So long as social network sites have average users, 'if it is not the case that some people keep frogs, then either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads' is true.", 'On the condition that light objects have less mass, it is definitely the case that if it is not the case that some people keep frogs, then either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads.']
|
It is rational to believe that either nektons have (part) cell membranes or some monkeys eat animals. On the condition that nektons have (part) cell membranes, it is definitely the case that either most mammals are nose breathers or some plants have peculiar habits. Assuming some monkeys eat animals, we know that either most mammals are nose breathers or some plants have peculiar habits. Either one or both of these statements are true: small breeds reach adult body weight, or it is not the case that most mammals are nose breathers. One may reasonably assume that if some people keep frogs, then the statement that 'small breeds reach adult body weight' is incorrect. The statement that 'most trees grow up to feet' is incorrect. One may reasonably assume that if either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads, then most trees grow up to feet. Either social network sites have average users or light objects have less mass. So long as social network sites have average users, 'if it is not the case that some people keep frogs, then either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads' is true. On the condition that light objects have less mass, it is definitely the case that if it is not the case that some people keep frogs, then either some People have few attacks and little if any disability accumulates over time or raw peppers are excellent in salads.
|
It is reasonable to believe that some plants have peculiar habits.
|
Plants die suddenly after the first symptoms of wilting.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [1] or [0].).
If [3], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[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].).
[5] [SC2-3]
Therefore, Not [4]..
[SC2-3]
Modus Tonens:
If (Not [5].), then [6]. [SC1-4]
Not [6].
Therefore, [5].
[SC1-4]
Hypothetical Syllogism:
If (Not [5].), then (Either [7] or [8].). [SC1-5]
If (Either [7] or [8].), then [6].
Therefore, If (Not [5].), then [6]..
[SC1-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not [5].), then (Either [7] or [8].).).
If [10], then (If (Not [5].), then (Either [7] or [8].).).
Therefore, If (Not [5].), then (Either [7] or [8].)..
|
{0: 'Some plants have peculiar habits.', 1: 'Most mammals are nose breathers.', 2: 'Nektons have (part) cell membranes.', 3: 'Some monkeys eat animals.', 4: 'Small breeds reach adult body weight.', 5: 'Some people keep frogs.', 6: 'Most trees grow up to feet.', 7: 'Some People have few attacks and little if any disability accumulates over time.', 8: 'Raw peppers are excellent in salads.', 9: 'Social network sites have average users.', 10: 'Light objects have less mass.'}
| 7 |
6,124 |
['Provided that we know that the claim that deformable models imitate, in real-time, the dynamic behavior of elastic structures is false, we know that the claim that spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose is false.', 'Given that we know that the claim that deformable models imitate, in real-time, the dynamic behavior of elastic structures is false, it can be inferred that many rural children experience family stress, such as divorce or parental loss.', "At least one of two things is true: either a groyne is a barrier or glucocorticoids then mediate the body's adaptive response to stress, or either many spinal fractures benefit by chiropractic management while the fracture is healing or moths are active at different times of the night depending on species.", "Should it be the case that either a groyne is a barrier or glucocorticoids then mediate the body's adaptive response to stress, it follows that if many rural children experience family stress, such as divorce or parental loss, then spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose.", "Whenever it is true that plants yield yellow flowers, 'if either many spinal fractures benefit by chiropractic management while the fracture is healing or moths are active at different times of the night depending on species, then if many rural children experience family stress, such as divorce or parental loss, then spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose' is true.", 'Either if testes are present inside a fibrous covering called scrotum or scrotal sac, then amazement is feeling or alcohol is the active principle of beer, for example.', "So long as if testes are present inside a fibrous covering called scrotum or scrotal sac, then amazement is feeling, 'acidification requires energy for proton pump' is true.", 'If alcohol is the active principle of beer, for example, then acidification requires energy for proton pump.', 'At least one of two things is true: most predators show variation, or if acidification requires energy for proton pump, then plants yield yellow flowers.', 'It is not the case that most predators show variation.']
|
Provided that we know that the claim that deformable models imitate, in real-time, the dynamic behavior of elastic structures is false, we know that the claim that spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose is false. Given that we know that the claim that deformable models imitate, in real-time, the dynamic behavior of elastic structures is false, it can be inferred that many rural children experience family stress, such as divorce or parental loss. At least one of two things is true: either a groyne is a barrier or glucocorticoids then mediate the body's adaptive response to stress, or either many spinal fractures benefit by chiropractic management while the fracture is healing or moths are active at different times of the night depending on species. Should it be the case that either a groyne is a barrier or glucocorticoids then mediate the body's adaptive response to stress, it follows that if many rural children experience family stress, such as divorce or parental loss, then spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose. Whenever it is true that plants yield yellow flowers, 'if either many spinal fractures benefit by chiropractic management while the fracture is healing or moths are active at different times of the night depending on species, then if many rural children experience family stress, such as divorce or parental loss, then spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose' is true. Either if testes are present inside a fibrous covering called scrotum or scrotal sac, then amazement is feeling or alcohol is the active principle of beer, for example. So long as if testes are present inside a fibrous covering called scrotum or scrotal sac, then amazement is feeling, 'acidification requires energy for proton pump' is true. If alcohol is the active principle of beer, for example, then acidification requires energy for proton pump. At least one of two things is true: most predators show variation, or if acidification requires energy for proton pump, then plants yield yellow flowers. It is not the case that most predators show variation.
|
The statement 'deformable models imitate, in real-time, the dynamic behavior of elastic structures' can be considered true.
|
Arid areas have little rainfall.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either (Either [3] or [4].) or (Either [5] or [6].).
If (Either [3] or [4].), then (If [2], then [1].).
If (Either [5] or [6].), then (If [2], then [1].). [SC3-3]
Therefore, If [2], then [1]..
[SC3-3]
Modus Ponens:
If [7], then (If (Either [5] or [6].), then (If [2], then [1].).). [SC1-4]
[7] [SC2-4]
Therefore, If (Either [5] or [6].), then (If [2], then [1].)..
[SC1-4]
Hypothetical Syllogism:
If [7], then [11]. [SC1-5]
If [11], then (If (Either [5] or [6].), then (If [2], then [1].).).
Therefore, If [7], then (If (Either [5] or [6].), then (If [2], then [1].).)..
[SC1-5]
Disjunctive Syllogism:
Either [12] or (If [7], then [11].).
Not [12].
Therefore, If [7], then [11]..
[SC2-4]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then [7].
If [10], then [7].
Therefore, [7].
|
{0: 'Deformable models imitate, in real-time, the dynamic behavior of elastic structures.', 1: 'Spiders suck the fluids from their live prey and therefore have a sucking stomach for that purpose.', 2: 'Many rural children experience family stress, such as divorce or parental loss.', 3: 'A groyne is a barrier.', 4: "Glucocorticoids then mediate the body's adaptive response to stress.", 5: 'Many spinal fractures benefit by chiropractic management while the fracture is healing.', 6: 'Moths are active at different times of the night depending on species.', 7: 'Acidification requires energy for proton pump.', 8: 'Testes are present inside a fibrous covering called scrotum or scrotal sac.', 9: 'Amazement is feeling.', 10: 'Alcohol is the active principle of beer, for example.', 11: 'Plants yield yellow flowers.', 12: 'Most predators show variation.'}
| 7 |
6,650 |
['There is good reason to believe that either some viruses infect brains or either an epicurean is a sensualist or local treatments affect cancer cells in the tumor and the area near it.', 'Should it be the case that either an epicurean is a sensualist or local treatments affect cancer cells in the tumor and the area near it, it follows that if the claim that small asteroids are in the range of several tens of metres, up to some hundreds of metres does not reflect reality, then solar web is a giant tent structure.', 'We know that either goshawks are migratory birds whose population usually fluctuates with that of hares or it is not the case that solar web is a giant tent structure.', 'At least one of two things is true: homelessness poses serious threats to the health and well being of the men and woman, or if some viruses infect brains, then if the claim that small asteroids are in the range of several tens of metres, up to some hundreds of metres does not reflect reality, then solar web is a giant tent structure.', 'We know that the claim that homelessness poses serious threats to the health and well being of the men and woman is false.', 'Once we know goshawks are migratory birds whose population usually fluctuates with that of hares, we also know that pests have (part) body substances.', 'When goshawks are migratory birds whose population usually fluctuates with that of hares is true, it follows that fear is the tax that conscience pays to guilt.', 'Once we know it is a common misconception that if fear is the tax that conscience pays to guilt, then it is not true that pests have (part) body substances, we also know that either moles also are similar to shrews, but are usually larger and have enlarged front feet or plant breeding is underway to develop hemp cultivars adapted to Saskatchewan conditions.', 'If it is a common misconception that if fear is the tax that conscience pays to guilt, then it is not true that pests have (part) body substances, then the statement that states either moles also are similar to shrews, but are usually larger and have enlarged front feet or plant breeding is underway to develop hemp cultivars adapted to Saskatchewan conditions is false.']
|
There is good reason to believe that either some viruses infect brains or either an epicurean is a sensualist or local treatments affect cancer cells in the tumor and the area near it. Should it be the case that either an epicurean is a sensualist or local treatments affect cancer cells in the tumor and the area near it, it follows that if the claim that small asteroids are in the range of several tens of metres, up to some hundreds of metres does not reflect reality, then solar web is a giant tent structure. We know that either goshawks are migratory birds whose population usually fluctuates with that of hares or it is not the case that solar web is a giant tent structure. At least one of two things is true: homelessness poses serious threats to the health and well being of the men and woman, or if some viruses infect brains, then if the claim that small asteroids are in the range of several tens of metres, up to some hundreds of metres does not reflect reality, then solar web is a giant tent structure. We know that the claim that homelessness poses serious threats to the health and well being of the men and woman is false. Once we know goshawks are migratory birds whose population usually fluctuates with that of hares, we also know that pests have (part) body substances. When goshawks are migratory birds whose population usually fluctuates with that of hares is true, it follows that fear is the tax that conscience pays to guilt. Once we know it is a common misconception that if fear is the tax that conscience pays to guilt, then it is not true that pests have (part) body substances, we also know that either moles also are similar to shrews, but are usually larger and have enlarged front feet or plant breeding is underway to develop hemp cultivars adapted to Saskatchewan conditions. If it is a common misconception that if fear is the tax that conscience pays to guilt, then it is not true that pests have (part) body substances, then the statement that states either moles also are similar to shrews, but are usually larger and have enlarged front feet or plant breeding is underway to develop hemp cultivars adapted to Saskatchewan conditions is false.
|
It is the case that small asteroids are in the range of several tens of metres, up to some hundreds of metres.
|
Condoms come in many colors, sizes and with or without ribbing.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (If (Not [0].), then [1].). [SC2-2]
If (Either [4] or [5].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [3], then (If (Not [0].), then [1].).).
Not [7].
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [6].
If [2], then (Not [6].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If [2], then [8].
If [8], then (Not [6].). [SC2-4]
Therefore, If [2], then (Not [6].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [8], then (Not [6].).).), then (Either [9] or [10].).
If (Not (If [8], then (Not [6].).).), then (Not (Either [9] or [10].).).
Therefore, If [8], then (Not [6].)..
|
{0: 'Small asteroids are in the range of several tens of metres, up to some hundreds of metres.', 1: 'Solar web is a giant tent structure.', 2: 'Goshawks are migratory birds whose population usually fluctuates with that of hares.', 3: 'Some viruses infect brains.', 4: 'An epicurean is a sensualist.', 5: 'Local treatments affect cancer cells in the tumor and the area near it.', 6: 'Pests have (part) body substances.', 7: 'Homelessness poses serious threats to the health and well being of the men and woman.', 8: 'Fear is the tax that conscience pays to guilt.', 9: 'Moles also are similar to shrews, but are usually larger and have enlarged front feet.', 10: 'Plant breeding is underway to develop hemp cultivars adapted to Saskatchewan conditions.'}
| 7 |
6,409 |
["So long as most bristle worms are scavengers, but some are good predators, eating fishes and coral, 'if waitresses have (part) nuclei, then some aquatic tetrapods have ancestors' is true.", 'We know that at least one of two things is true: soil solarization a non chemical approach for management of plant pathogens and pests, or information is a precious commodity that in isolation has limited value.', "Whenever it is true that soil solarization a non chemical approach for management of plant pathogens and pests, 'if some alcohol causes headaches, then either food includes beans or most bristle worms are scavengers, but some are good predators, eating fishes and coral' is true.", "Whenever it is true that information is a precious commodity that in isolation has limited value, 'if some alcohol causes headaches, then either food includes beans or most bristle worms are scavengers, but some are good predators, eating fishes and coral' is true.", 'Either if energy is defined as the ability to perform work, then painting involves discipline, perseverance, and the willingness to endure frustration or little guys need moms.', 'Once we know if energy is defined as the ability to perform work, then painting involves discipline, perseverance, and the willingness to endure frustration, we also know that some alcohol causes headaches.', 'When little guys need moms is true, it follows that some alcohol causes headaches.', 'One may reasonably assume that if some people mistakenly believe that either gastritis is inflammation or if food includes beans, then if waitresses have (part) nuclei, then some aquatic tetrapods have ancestors, then owls are birds of prey or raptors .', 'The claim that owls are birds of prey or raptors does not correspond with reality.', 'Provided that gastritis is inflammation, we know that seasonal festivals make use of myths, art, dance and games.', 'Assuming gastritis is inflammation, we know that the claim that seasonal festivals make use of myths, art, dance and games has no merit.']
|
So long as most bristle worms are scavengers, but some are good predators, eating fishes and coral, 'if waitresses have (part) nuclei, then some aquatic tetrapods have ancestors' is true. We know that at least one of two things is true: soil solarization a non chemical approach for management of plant pathogens and pests, or information is a precious commodity that in isolation has limited value. Whenever it is true that soil solarization a non chemical approach for management of plant pathogens and pests, 'if some alcohol causes headaches, then either food includes beans or most bristle worms are scavengers, but some are good predators, eating fishes and coral' is true. Whenever it is true that information is a precious commodity that in isolation has limited value, 'if some alcohol causes headaches, then either food includes beans or most bristle worms are scavengers, but some are good predators, eating fishes and coral' is true. Either if energy is defined as the ability to perform work, then painting involves discipline, perseverance, and the willingness to endure frustration or little guys need moms. Once we know if energy is defined as the ability to perform work, then painting involves discipline, perseverance, and the willingness to endure frustration, we also know that some alcohol causes headaches. When little guys need moms is true, it follows that some alcohol causes headaches. One may reasonably assume that if some people mistakenly believe that either gastritis is inflammation or if food includes beans, then if waitresses have (part) nuclei, then some aquatic tetrapods have ancestors, then owls are birds of prey or raptors . The claim that owls are birds of prey or raptors does not correspond with reality. Provided that gastritis is inflammation, we know that seasonal festivals make use of myths, art, dance and games. Assuming gastritis is inflammation, we know that the claim that seasonal festivals make use of myths, art, dance and games has no merit.
|
On the condition that waitresses have (part) nuclei, it is definitely the case that some aquatic tetrapods have ancestors.
|
On the condition that waitresses have (part) nuclei, it is definitely the case that some aquatic tetrapods have 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].).
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [4], then (Either [2] or [3].). [SC1-2]
[4] [SC2-2]
Therefore, Either [2] or [3]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (Either [2] or [3].).).
If [7], then (If [4], then (Either [2] or [3].).).
Therefore, If [4], then (Either [2] or [3].)..
[SC2-2]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then [4].
If [10], then [4].
Therefore, [4].
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then (If [0], then [1].).). [SC1-2]
Not [5]. [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or (If [2], then (If [0], then [1].).).).), then [11].
Not [11].
Therefore, Either [5] or (If [2], then (If [0], then [1].).)..
[SC2-2]
Reductio Ad Absurdum:
If [5], then [12].
If [5], then (Not [12].).
Therefore, Not [5]..
|
{0: 'Waitresses have (part) nuclei.', 1: 'Some aquatic tetrapods have ancestors.', 2: 'Food includes beans.', 3: 'Most bristle worms are scavengers, but some are good predators, eating fishes and coral.', 4: 'Some alcohol causes headaches.', 5: 'Gastritis is inflammation.', 6: 'Soil solarization a non chemical approach for management of plant pathogens and pests.', 7: 'Information is a precious commodity that in isolation has limited value.', 8: 'Energy is defined as the ability to perform work.', 9: 'Painting involves discipline, perseverance, and the willingness to endure frustration.', 10: 'Little guys need moms.', 11: 'Owls are birds of prey or raptors .', 12: 'Seasonal festivals make use of myths, art, dance and games.'}
| 7 |
6,752 |
['The statement that states vegetarians have lower urinary excretion is right.', 'On the condition that butanone only has one possible configuration, it is definitely the case that if a corn field is a field, then if vegetarians have lower urinary excretion, then those that suggest starches have characteristics are wrong.', 'There is good reason to believe that either some fish feed on slugs or overpopulation degrades deer food supplies.', 'Provided that some fish feed on slugs, we know that a corn field is a field.', 'At least one of two things is true: either bacterial growth occurs at optimal levels or atmosphere is less dense and thick, the sun and the stars seem to be brighter, or beryllium is a hard, lightweight metal used in the defense, auto, and electronics industries.', 'On the condition that either bacterial growth occurs at optimal levels or atmosphere is less dense and thick, the sun and the stars seem to be brighter, it is definitely the case that butanone only has one possible configuration.', 'One may reasonably assume that if beryllium is a hard, lightweight metal used in the defense, auto, and electronics industries, then butanone only has one possible configuration.', 'Assuming the claim that if overpopulation degrades deer food supplies, then a corn field is a field does not reflect reality, we know that some people mistakenly believe that some animals eat beavers.', 'Assuming the claim that if the claim that if overpopulation degrades deer food supplies, then a corn field is a field does not reflect reality, then some animals eat beavers has no merit, we know that rods produce a black and white response, which is actually a reaction to variations in luminance.', 'It is a common misconception that rods produce a black and white response, which is actually a reaction to variations in luminance.']
|
The statement that states vegetarians have lower urinary excretion is right. On the condition that butanone only has one possible configuration, it is definitely the case that if a corn field is a field, then if vegetarians have lower urinary excretion, then those that suggest starches have characteristics are wrong. There is good reason to believe that either some fish feed on slugs or overpopulation degrades deer food supplies. Provided that some fish feed on slugs, we know that a corn field is a field. At least one of two things is true: either bacterial growth occurs at optimal levels or atmosphere is less dense and thick, the sun and the stars seem to be brighter, or beryllium is a hard, lightweight metal used in the defense, auto, and electronics industries. On the condition that either bacterial growth occurs at optimal levels or atmosphere is less dense and thick, the sun and the stars seem to be brighter, it is definitely the case that butanone only has one possible configuration. One may reasonably assume that if beryllium is a hard, lightweight metal used in the defense, auto, and electronics industries, then butanone only has one possible configuration. Assuming the claim that if overpopulation degrades deer food supplies, then a corn field is a field does not reflect reality, we know that some people mistakenly believe that some animals eat beavers. Assuming the claim that if the claim that if overpopulation degrades deer food supplies, then a corn field is a field does not reflect reality, then some animals eat beavers has no merit, we know that rods produce a black and white response, which is actually a reaction to variations in luminance. It is a common misconception that rods produce a black and white response, which is actually a reaction to variations in luminance.
|
Those that suggest starches have characteristics are wrong.
|
Those that suggest starches have characteristics are wrong.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).). [SC1-2]
[2] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (If [1], then (Not [0].).).).
[3] [SC2-3]
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then [3].
If [8], then [3].
Therefore, [3].
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then [2].
If [5], then [2]. [SC3-3]
Therefore, [2].
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then [2].).), then [9]. [SC1-4]
If (Not (If [5], then [2].).), then (Not [9].).
Therefore, If [5], then [2]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [5], then [2].).), then [9].).), then [10].
Not [10].
Therefore, If (Not (If [5], then [2].).), then [9]..
|
{0: 'Starches have characteristics.', 1: 'Vegetarians have lower urinary excretion.', 2: 'A corn field is a field.', 3: 'Butanone only has one possible configuration.', 4: 'Some fish feed on slugs.', 5: 'Overpopulation degrades deer food supplies.', 6: 'Bacterial growth occurs at optimal levels.', 7: 'Atmosphere is less dense and thick, the sun and the stars seem to be brighter.', 8: 'Beryllium is a hard, lightweight metal used in the defense, auto, and electronics industries.', 9: 'Some animals eat beavers.', 10: 'Rods produce a black and white response, which is actually a reaction to variations in luminance.'}
| 7 |
6,952 |
['Either love never dies of a natural death or most samples contain atoms.', 'When love never dies of a natural death is true, it follows that severe acne can lead to scarring.', 'It is a fact that either either platypuses have temperature or cucumbers use for pickle or if matter absorbs sound, and that includes people, then caregivers often put their own health on the line to care for loved ones.', 'Assuming either platypuses have temperature or cucumbers use for pickle, we know that rock art is created by carving, drawing, or painting on rock surfaces.', "Whenever it is true that if matter absorbs sound, and that includes people, then caregivers often put their own health on the line to care for loved ones, 'if most samples contain atoms, then severe acne can lead to scarring' is true.", 'The claim that predators use tongues does not reflect reality.', "Assuming rapes are diseases, we know that the statement that 'rock art is created by carving, drawing, or painting on rock surfaces' is incorrect.", 'Either one or both of these statements are true: zircon is common in many areas, or either thiamine pyrophosphate is a coenzyme or rapes are diseases.', "The statement that 'zircon is common in many areas' is incorrect.", 'There is good reason to believe that either either adverbs modify verbs, adjectives or other adverbs or automobile traffic is probably the most deadly threat to kids on wheels or on foot or caffeine saturates all body tissues and fluids, including breast milk.', 'Assuming either adverbs modify verbs, adjectives or other adverbs or automobile traffic is probably the most deadly threat to kids on wheels or on foot, we know that if thiamine pyrophosphate is a coenzyme, then predators use tongues.', 'One may reasonably assume that if caffeine saturates all body tissues and fluids, including breast milk, then if thiamine pyrophosphate is a coenzyme, then predators use tongues.']
|
Either love never dies of a natural death or most samples contain atoms. When love never dies of a natural death is true, it follows that severe acne can lead to scarring. It is a fact that either either platypuses have temperature or cucumbers use for pickle or if matter absorbs sound, and that includes people, then caregivers often put their own health on the line to care for loved ones. Assuming either platypuses have temperature or cucumbers use for pickle, we know that rock art is created by carving, drawing, or painting on rock surfaces. Whenever it is true that if matter absorbs sound, and that includes people, then caregivers often put their own health on the line to care for loved ones, 'if most samples contain atoms, then severe acne can lead to scarring' is true. The claim that predators use tongues does not reflect reality. Assuming rapes are diseases, we know that the statement that 'rock art is created by carving, drawing, or painting on rock surfaces' is incorrect. Either one or both of these statements are true: zircon is common in many areas, or either thiamine pyrophosphate is a coenzyme or rapes are diseases. The statement that 'zircon is common in many areas' is incorrect. There is good reason to believe that either either adverbs modify verbs, adjectives or other adverbs or automobile traffic is probably the most deadly threat to kids on wheels or on foot or caffeine saturates all body tissues and fluids, including breast milk. Assuming either adverbs modify verbs, adjectives or other adverbs or automobile traffic is probably the most deadly threat to kids on wheels or on foot, we know that if thiamine pyrophosphate is a coenzyme, then predators use tongues. One may reasonably assume that if caffeine saturates all body tissues and fluids, including breast milk, then if thiamine pyrophosphate is a coenzyme, then predators use tongues.
|
The idea that severe acne can lead to scarring is true.
|
The idea that severe acne can lead to scarring 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]
Constructive Dilemma:
Either (Either [4] or [5].) or (If [6], then [7].).
If (Either [4] or [5].), then [3].
If (If [6], then [7].), then (If [2], then [0].).
Therefore, Either [3] or (If [2], then [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].). [SC1-3]
Not [8].
Therefore, Not [3]..
[SC1-3]
Constructive Dilemma:
Either [9] or [10]. [SC1-4]
If [9], then [8]. [SC2-4]
If [10], then (Not [3].).
Therefore, Either [8] or (Not [3].)..
[SC1-4]
Disjunctive Syllogism:
Either [14] or (Either [9] or [10].).
Not [14].
Therefore, Either [9] or [10]..
[SC2-4]
Disjunction Elimination:
Either (Either [11] or [12].) or [13].
If (Either [11] or [12].), then (If [9], then [8].).
If [13], then (If [9], then [8].).
Therefore, If [9], then [8]..
|
{0: 'Severe acne can lead to scarring.', 1: 'Love never dies of a natural death.', 2: 'Most samples contain atoms.', 3: 'Rock art is created by carving, drawing, or painting on rock surfaces.', 4: 'Platypuses have temperature.', 5: 'Cucumbers use for pickle.', 6: 'Matter absorbs sound, and that includes people.', 7: 'Caregivers often put their own health on the line to care for loved ones.', 8: 'Predators use tongues.', 9: 'Thiamine pyrophosphate is a coenzyme.', 10: 'Rapes are diseases.', 11: 'Adverbs modify verbs, adjectives or other adverbs.', 12: 'Automobile traffic is probably the most deadly threat to kids on wheels or on foot.', 13: 'Caffeine saturates all body tissues and fluids, including breast milk.', 14: 'Zircon is common in many areas.'}
| 7 |
6,477 |
["The statement that 'plant is a low, spreading, hardy bush' is incorrect.", 'The claim that either average monthly rainfall exceeds mms or jewellery isa ornament does not correspond with reality.', 'Provided that serious injuries can occur when babies are riding face forward, we know that either plant is a low, spreading, hardy bush or violets are red.', 'The statement that states shampoo kills lice completely in minutes is false.', 'Some people mistakenly believe that most aphids feed on grow grain.', 'There is good reason to believe that either old age is a time to treasure or some tortoises reach maturity.', 'On the condition that old age is a time to treasure, it is definitely the case that if some people mistakenly believe that either crystals are natural conductors of energy, Each moving electron produce an energy field or serious injuries can occur when babies are riding face forward, then shampoo kills lice completely in minutes.', 'Given that some tortoises reach maturity, it can be inferred that if some people mistakenly believe that either crystals are natural conductors of energy, Each moving electron produce an energy field or serious injuries can occur when babies are riding face forward, then shampoo kills lice completely in minutes.', 'Should it be the case that we know that the claim that either most aphids feed on grow grain or if crystals are natural conductors of energy, Each moving electron produce an energy field, then either average monthly rainfall exceeds mms or jewellery isa ornament is false, it follows that many hens show definite preference in selecting eggs to hatch based on size and color.', 'The claim that many hens show definite preference in selecting eggs to hatch based on size and color does not reflect reality.']
|
The statement that 'plant is a low, spreading, hardy bush' is incorrect. The claim that either average monthly rainfall exceeds mms or jewellery isa ornament does not correspond with reality. Provided that serious injuries can occur when babies are riding face forward, we know that either plant is a low, spreading, hardy bush or violets are red. The statement that states shampoo kills lice completely in minutes is false. Some people mistakenly believe that most aphids feed on grow grain. There is good reason to believe that either old age is a time to treasure or some tortoises reach maturity. On the condition that old age is a time to treasure, it is definitely the case that if some people mistakenly believe that either crystals are natural conductors of energy, Each moving electron produce an energy field or serious injuries can occur when babies are riding face forward, then shampoo kills lice completely in minutes. Given that some tortoises reach maturity, it can be inferred that if some people mistakenly believe that either crystals are natural conductors of energy, Each moving electron produce an energy field or serious injuries can occur when babies are riding face forward, then shampoo kills lice completely in minutes. Should it be the case that we know that the claim that either most aphids feed on grow grain or if crystals are natural conductors of energy, Each moving electron produce an energy field, then either average monthly rainfall exceeds mms or jewellery isa ornament is false, it follows that many hens show definite preference in selecting eggs to hatch based on size and color. The claim that many hens show definite preference in selecting eggs to hatch based on size and color does not reflect reality.
|
It is reasonable to believe that violets are red.
|
Violet is flowers.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Either [1] or [0].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Either [1] or [0]..
[SC1-2]
Constructive Dilemma:
Either [4] or [5]. [SC1-3]
If [4], then (Either [2] or [3].). [SC2-3]
If [5], then (Either [1] or [0].).
Therefore, Either (Either [2] or [3].) or (Either [1] or [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or [5].).), then [7]. [SC1-4]
Not [7].
Therefore, Either [4] or [5]..
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (Either [4] or [5].).), then [7].).
If [10], then (If (Not (Either [4] or [5].).), then [7].).
Therefore, If (Not (Either [4] or [5].).), then [7]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (Either [2] or [3].).). [SC1-4]
Not [6].
Therefore, If [4], then (Either [2] or [3].)..
[SC1-4]
Modus Tonens:
If (Not (Either [6] or (If [4], then (Either [2] or [3].).).).), then [8].
Not [8].
Therefore, Either [6] or (If [4], then (Either [2] or [3].).)..
|
{0: 'Violets are red.', 1: 'Plant is a low, spreading, hardy bush.', 2: 'Average monthly rainfall exceeds mms.', 3: 'Jewellery isa ornament.', 4: 'Crystals are natural conductors of energy, Each moving electron produce an energy field.', 5: 'Serious injuries can occur when babies are riding face forward.', 6: 'Most aphids feed on grow grain.', 7: 'Shampoo kills lice completely in minutes.', 8: 'Many hens show definite preference in selecting eggs to hatch based on size and color.', 9: 'Old age is a time to treasure.', 10: 'Some tortoises reach maturity.'}
| 7 |
6,118 |
['It is not the case that geneticists focus their studies on DNA replication and enzyme synthesis.', 'Once we know either earth quake is an everyday event or polyunsaturates can also help reduce blood cholesterol, we also know that either worlds have (part) lands or morph types appear to respond differently to habitat fragmentation constraints.', 'We know that at least one of two things is true: earth quake is an everyday event, or polyunsaturates can also help reduce blood cholesterol.', 'One may reasonably assume that if worlds have (part) lands, then milk offers benefits.', "Once we know milk offers benefits, we also know that if the notion that 'ibises usually live near water' is untrue, then sniffers are devices that capture network packets.", "At least one of two things is true: heavy feeders are any vegetable that takes a lot of nutrients out of the soil in order to grow, or if morph types appear to respond differently to habitat fragmentation constraints, then if the notion that 'ibises usually live near water' is untrue, then sniffers are devices that capture network packets.", 'The claim that heavy feeders are any vegetable that takes a lot of nutrients out of the soil in order to grow does not correspond with reality.', "So long as the claim that either geneticists focus their studies on DNA replication and enzyme synthesis or if the notion that 'ibises usually live near water' is untrue, then the statement that 'sniffers are devices that capture network packets' is incorrect does not correspond with reality, 'air is forced to rise and is warmed by the adiabatic process' is true.", "Assuming the claim that either geneticists focus their studies on DNA replication and enzyme synthesis or if the notion that 'ibises usually live near water' is untrue, then the statement that 'sniffers are devices that capture network packets' is incorrect does not correspond with reality, we know that it is not the case that air is forced to rise and is warmed by the adiabatic process."]
|
It is not the case that geneticists focus their studies on DNA replication and enzyme synthesis. Once we know either earth quake is an everyday event or polyunsaturates can also help reduce blood cholesterol, we also know that either worlds have (part) lands or morph types appear to respond differently to habitat fragmentation constraints. We know that at least one of two things is true: earth quake is an everyday event, or polyunsaturates can also help reduce blood cholesterol. One may reasonably assume that if worlds have (part) lands, then milk offers benefits. Once we know milk offers benefits, we also know that if the notion that 'ibises usually live near water' is untrue, then sniffers are devices that capture network packets. At least one of two things is true: heavy feeders are any vegetable that takes a lot of nutrients out of the soil in order to grow, or if morph types appear to respond differently to habitat fragmentation constraints, then if the notion that 'ibises usually live near water' is untrue, then sniffers are devices that capture network packets. The claim that heavy feeders are any vegetable that takes a lot of nutrients out of the soil in order to grow does not correspond with reality. So long as the claim that either geneticists focus their studies on DNA replication and enzyme synthesis or if the notion that 'ibises usually live near water' is untrue, then the statement that 'sniffers are devices that capture network packets' is incorrect does not correspond with reality, 'air is forced to rise and is warmed by the adiabatic process' is true. Assuming the claim that either geneticists focus their studies on DNA replication and enzyme synthesis or if the notion that 'ibises usually live near water' is untrue, then the statement that 'sniffers are devices that capture network packets' is incorrect does not correspond with reality, we know that it is not the case that air is forced to rise and is warmed by the adiabatic process.
|
It is reasonable to believe that ibises usually live near water.
|
The claim that ibises usually live near water does not reflect reality.
|
FALSE
|
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 [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 Ponens:
If (Either [6] or [7].), then (Either [2] or [3].).
Either [6] or [7].
Therefore, Either [2] or [3]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [5].
If [5], then (If (Not [0].), then [1].).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC3-2]
Disjunctive Syllogism:
Either [9] or (If [3], then (If (Not [0].), then [1].).).
Not [9].
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [4].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (If (Not [0].), then (Not [1].).).).), then [8].
If (Not (Either [4] or (If (Not [0].), then (Not [1].).).).), then (Not [8].).
Therefore, Either [4] or (If (Not [0].), then (Not [1].).)..
|
{0: 'Ibises usually live near water.', 1: 'Sniffers are devices that capture network packets.', 2: 'Worlds have (part) lands.', 3: 'Morph types appear to respond differently to habitat fragmentation constraints.', 4: 'Geneticists focus their studies on DNA replication and enzyme synthesis.', 5: 'Milk offers benefits.', 6: 'Earth quake is an everyday event.', 7: 'Polyunsaturates can also help reduce blood cholesterol.', 8: 'Air is forced to rise and is warmed by the adiabatic process.', 9: 'Heavy feeders are any vegetable that takes a lot of nutrients out of the soil in order to grow.'}
| 7 |
6,012 |
['Should it be the case that some people mistakenly believe that deforestation isa removal, it follows that some mice die from tumors.', 'It is not the case that some talons are part of mynahs.', 'Should it be the case that coralline algae are abundant on the reef, both in encrusting and branching forms, it follows that if some mice die from tumors, then some talons are part of mynahs.', 'The claim that chemists study atoms as well as the structures and reactions of molecules is false.', 'Once we know plant growth begins whenever air and soil temperature are above freezing most of the time, we also know that coralline algae are abundant on the reef, both in encrusting and branching forms.', 'There is good reason to believe that either a scout troop is an unit or social relationships are long-term and monitored for balance.', 'Given that a scout troop is an unit, it can be inferred that either parameters are factors or plant growth begins whenever air and soil temperature are above freezing most of the time.', "Whenever it is true that social relationships are long-term and monitored for balance, 'either parameters are factors or plant growth begins whenever air and soil temperature are above freezing most of the time' is true.", "So long as it is not true that if parameters are factors, then chemists study atoms as well as the structures and reactions of molecules, 'if scratching can break the skin open and increase the chance of infection, then streams feed rivers' is true.", "So long as it is not true that if parameters are factors, then chemists study atoms as well as the structures and reactions of molecules, 'it is not the case that if scratching can break the skin open and increase the chance of infection, then streams feed rivers' is true."]
|
Should it be the case that some people mistakenly believe that deforestation isa removal, it follows that some mice die from tumors. It is not the case that some talons are part of mynahs. Should it be the case that coralline algae are abundant on the reef, both in encrusting and branching forms, it follows that if some mice die from tumors, then some talons are part of mynahs. The claim that chemists study atoms as well as the structures and reactions of molecules is false. Once we know plant growth begins whenever air and soil temperature are above freezing most of the time, we also know that coralline algae are abundant on the reef, both in encrusting and branching forms. There is good reason to believe that either a scout troop is an unit or social relationships are long-term and monitored for balance. Given that a scout troop is an unit, it can be inferred that either parameters are factors or plant growth begins whenever air and soil temperature are above freezing most of the time. Whenever it is true that social relationships are long-term and monitored for balance, 'either parameters are factors or plant growth begins whenever air and soil temperature are above freezing most of the time' is true. So long as it is not true that if parameters are factors, then chemists study atoms as well as the structures and reactions of molecules, 'if scratching can break the skin open and increase the chance of infection, then streams feed rivers' is true. So long as it is not true that if parameters are factors, then chemists study atoms as well as the structures and reactions of molecules, 'it is not the case that if scratching can break the skin open and increase the chance of infection, then streams feed rivers' is true.
|
It is true that deforestation isa removal.
|
It is not true that deforestation isa removal.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [1], then [2].).
[3] [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or [3]. [SC1-4]
Not [4].
Therefore, [3].
[SC1-4]
Constructive Dilemma:
Either [5] or [6]. [SC1-5]
If [5], then [4]. [SC2-5]
If [6], then [3].
Therefore, Either [4] or [3]..
[SC1-5]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-5]
Reductio Ad Absurdum:
If (Not (If [5], then [4].).), then (If [9], then [10].).
If (Not (If [5], then [4].).), then (Not (If [9], then [10].).).
Therefore, If [5], then [4]..
|
{0: 'Deforestation isa removal.', 1: 'Some mice die from tumors.', 2: 'Some talons are part of mynahs.', 3: 'Coralline algae are abundant on the reef, both in encrusting and branching forms.', 4: 'Chemists study atoms as well as the structures and reactions of molecules.', 5: 'Parameters are factors.', 6: 'Plant growth begins whenever air and soil temperature are above freezing most of the time.', 7: 'A scout troop is an unit.', 8: 'Social relationships are long-term and monitored for balance.', 9: 'Scratching can break the skin open and increase the chance of infection.', 10: 'Streams feed rivers.'}
| 7 |
6,157 |
['Those that suggest most predators appear in water are wrong.', 'Either one or both of these statements are true: constipation is difficult, painful, or infrequent bowel movements, or either most predators appear in water or biology goes through stages.', "So long as constipation is difficult, painful, or infrequent bowel movements, 'the claim that internal validity is a subset of external validity does not correspond with reality' is true.", 'It is rational to believe that either studies show children with a healthy self-esteem are less likely to use drugs or sedimentation is the process by which sediment is deposited e.g. in waterways.', 'Should it be the case that studies show children with a healthy self-esteem are less likely to use drugs, it follows that procedures can have effects.', 'Should it be the case that sedimentation is the process by which sediment is deposited e.g. in waterways, it follows that if constipation is difficult, painful, or infrequent bowel movements, then internal validity is a subset of external validity.', 'Either one or both of these statements are true: infected mice have yellow-white flakes on the skin and lose weight, or the claim that procedures can have effects is false.', "Whenever it is true that infected mice have yellow-white flakes on the skin and lose weight, 'agricultural development is crucial to poverty reduction' is true.", 'The statement that states agricultural development is crucial to poverty reduction is false.']
|
Those that suggest most predators appear in water are wrong. Either one or both of these statements are true: constipation is difficult, painful, or infrequent bowel movements, or either most predators appear in water or biology goes through stages. So long as constipation is difficult, painful, or infrequent bowel movements, 'the claim that internal validity is a subset of external validity does not correspond with reality' is true. It is rational to believe that either studies show children with a healthy self-esteem are less likely to use drugs or sedimentation is the process by which sediment is deposited e.g. in waterways. Should it be the case that studies show children with a healthy self-esteem are less likely to use drugs, it follows that procedures can have effects. Should it be the case that sedimentation is the process by which sediment is deposited e.g. in waterways, it follows that if constipation is difficult, painful, or infrequent bowel movements, then internal validity is a subset of external validity. Either one or both of these statements are true: infected mice have yellow-white flakes on the skin and lose weight, or the claim that procedures can have effects is false. Whenever it is true that infected mice have yellow-white flakes on the skin and lose weight, 'agricultural development is crucial to poverty reduction' is true. The statement that states agricultural development is crucial to poverty reduction is false.
|
It is fair to say that biology goes through stages.
|
The claim that biology goes through stages does not correspond with reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].).
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-3]
If [2], then (Not [3].).
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (If [2], then [3].). [SC1-4]
Not [4]. [SC2-4]
Therefore, If [2], then [3]..
[SC1-4]
Constructive Dilemma:
Either [6] or [7].
If [6], then [4].
If [7], then (If [2], then [3].).
Therefore, Either [4] or (If [2], then [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5]. [SC2-5]
Therefore, Not [4]..
[SC2-5]
Modus Tonens:
If [5], then [8].
Not [8].
Therefore, Not [5]..
|
{0: 'Biology goes through stages.', 1: 'Most predators appear in water.', 2: 'Constipation is difficult, painful, or infrequent bowel movements.', 3: 'Internal validity is a subset of external validity.', 4: 'Procedures can have effects.', 5: 'Infected mice have yellow-white flakes on the skin and lose weight.', 6: 'Studies show children with a healthy self-esteem are less likely to use drugs.', 7: 'Sedimentation is the process by which sediment is deposited e.g. in waterways.', 8: 'Agricultural development is crucial to poverty reduction.'}
| 7 |
6,337 |
['Should it be the case that verbal abuse is sometimes worse than physical abuse, it follows that it is not true that incubation is performed by the female and begins when the last egg is laid.', 'We know that at least one of two things is true: morality is that which sustains life, or antibodies are proteins which help the goat kid fight diseases.', "On the condition that morality is that which sustains life, it is definitely the case that if people vary in abilities, motivation and readiness to learn, then either china has the world's largest group of karst dolines or verbal abuse is sometimes worse than physical abuse.", "Should it be the case that antibodies are proteins which help the goat kid fight diseases, it follows that if people vary in abilities, motivation and readiness to learn, then either china has the world's largest group of karst dolines or verbal abuse is sometimes worse than physical abuse.", 'Given that axons conduct impulses away from the cell body, it can be inferred that people vary in abilities, motivation and readiness to learn.', 'The statement that states axons conduct impulses away from the cell body is right.', 'On the condition that most cars have disc brakes, it is definitely the case that either chipmunks have (part) vertebrate feet or dolomite is another type of limestone.', "So long as either chipmunks have (part) vertebrate feet or dolomite is another type of limestone, 'if china has the world's largest group of karst dolines, then it is not true that incubation is performed by the female and begins when the last egg is laid' is true.", "Once we know the statement that 'most cars have disc brakes' is incorrect, we also know that many dermatologists routinely recommend insect repellent, as well.", "So long as the statement that 'most cars have disc brakes' is incorrect, 'those that suggest many dermatologists routinely recommend insect repellent, as well are wrong' is true."]
|
Should it be the case that verbal abuse is sometimes worse than physical abuse, it follows that it is not true that incubation is performed by the female and begins when the last egg is laid. We know that at least one of two things is true: morality is that which sustains life, or antibodies are proteins which help the goat kid fight diseases. On the condition that morality is that which sustains life, it is definitely the case that if people vary in abilities, motivation and readiness to learn, then either china has the world's largest group of karst dolines or verbal abuse is sometimes worse than physical abuse. Should it be the case that antibodies are proteins which help the goat kid fight diseases, it follows that if people vary in abilities, motivation and readiness to learn, then either china has the world's largest group of karst dolines or verbal abuse is sometimes worse than physical abuse. Given that axons conduct impulses away from the cell body, it can be inferred that people vary in abilities, motivation and readiness to learn. The statement that states axons conduct impulses away from the cell body is right. On the condition that most cars have disc brakes, it is definitely the case that either chipmunks have (part) vertebrate feet or dolomite is another type of limestone. So long as either chipmunks have (part) vertebrate feet or dolomite is another type of limestone, 'if china has the world's largest group of karst dolines, then it is not true that incubation is performed by the female and begins when the last egg is laid' is true. Once we know the statement that 'most cars have disc brakes' is incorrect, we also know that many dermatologists routinely recommend insect repellent, as well. So long as the statement that 'most cars have disc brakes' is incorrect, 'those that suggest many dermatologists routinely recommend insect repellent, as well are wrong' is true.
|
It is not true that incubation is performed by the female and begins when the last egg is laid.
|
The statement, incubations are part of infection, does not hold.
|
Uncertain
|
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 [4], then (Either [1] or [2].). [SC1-2]
[4] [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (Either [1] or [2].).).
If [6], then (If [4], then (Either [1] or [2].).).
Therefore, If [4], then (Either [1] or [2].)..
[SC2-2]
Modus Ponens:
If [8], then [4].
[8]
Therefore, [4].
[SC2-1]
Modus Ponens:
If [3], then (If [1], then (Not [0].).). [SC1-2]
[3] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [3], then (Either [9] or [10].).
If (Either [9] or [10].), then (If [1], then (Not [0].).).
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [7].
If (Not [3].), then (Not [7].).
Therefore, [3].
|
{0: 'Incubation is performed by the female and begins when the last egg is laid.', 1: "China has the world's largest group of karst dolines.", 2: 'Verbal abuse is sometimes worse than physical abuse.', 3: 'Most cars have disc brakes.', 4: 'People vary in abilities, motivation and readiness to learn.', 5: 'Morality is that which sustains life.', 6: 'Antibodies are proteins which help the goat kid fight diseases.', 7: 'Many dermatologists routinely recommend insect repellent, as well.', 8: 'Axons conduct impulses away from the cell body.', 9: 'Chipmunks have (part) vertebrate feet.', 10: 'Dolomite is another type of limestone.'}
| 7 |
6,127 |
['We know that at least one of two things is true: honor is defined as esteem, respect, or reverence, or if some forces act on sediments, then dehydration is the common cause of a lot of headaches.', 'Should it be the case that if some forces act on sediments, then dehydration is the common cause of a lot of headaches, it follows that surgical menopause is when both the uterus and ovaries are removed.', 'We know that either diuretics work to remove excess salts and water from the body in the form of urine or either tissues comprise larger group minds, or organs or if honor is defined as esteem, respect, or reverence, then surgical menopause is when both the uterus and ovaries are removed.', 'The statement, diuretics work to remove excess salts and water from the body in the form of urine, does not hold.', 'Provided that tissues comprise larger group minds, or organs, we know that the claim that fair fighting is a way to manage conflict and associated feelings effectively has no merit.', "On the condition that the statement 'either if many birds expect to be fed at a certain time every day, then abuse affects the health of both the mother and the baby or if tissues comprise larger group minds, or organs, then fair fighting is a way to manage conflict and associated feelings effectively' can be considered false, it is definitely the case that piano tuners adjust piano strings to the proper pitch.", 'The statement that states piano tuners adjust piano strings to the proper pitch is false.', 'Should it be the case that if many birds expect to be fed at a certain time every day, then abuse affects the health of both the mother and the baby, it follows that women have a higher daily requirement for iron than men because they store less iron and menstruate.', "The statement that 'women have a higher daily requirement for iron than men because they store less iron and menstruate' is incorrect."]
|
We know that at least one of two things is true: honor is defined as esteem, respect, or reverence, or if some forces act on sediments, then dehydration is the common cause of a lot of headaches. Should it be the case that if some forces act on sediments, then dehydration is the common cause of a lot of headaches, it follows that surgical menopause is when both the uterus and ovaries are removed. We know that either diuretics work to remove excess salts and water from the body in the form of urine or either tissues comprise larger group minds, or organs or if honor is defined as esteem, respect, or reverence, then surgical menopause is when both the uterus and ovaries are removed. The statement, diuretics work to remove excess salts and water from the body in the form of urine, does not hold. Provided that tissues comprise larger group minds, or organs, we know that the claim that fair fighting is a way to manage conflict and associated feelings effectively has no merit. On the condition that the statement 'either if many birds expect to be fed at a certain time every day, then abuse affects the health of both the mother and the baby or if tissues comprise larger group minds, or organs, then fair fighting is a way to manage conflict and associated feelings effectively' can be considered false, it is definitely the case that piano tuners adjust piano strings to the proper pitch. The statement that states piano tuners adjust piano strings to the proper pitch is false. Should it be the case that if many birds expect to be fed at a certain time every day, then abuse affects the health of both the mother and the baby, it follows that women have a higher daily requirement for iron than men because they store less iron and menstruate. The statement that 'women have a higher daily requirement for iron than men because they store less iron and menstruate' is incorrect.
|
It is a simple truth that surgical menopause is when both the uterus and ovaries are removed.
|
Surgical menopause is treated much like natural menopause.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [1], then [0].). [SC1-2]
Not [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [4] or (If [1], then [0].).).
Not [6].
Therefore, Either [4] or (If [1], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-3]
If [4], then (Not [5].).
Therefore, Not [4]..
[SC1-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [4], then [5].). [SC1-4]
Not (If [7], then [8].). [SC2-4]
Therefore, If [4], then [5]..
[SC1-4]
Modus Tonens:
If (Not (Either (If [7], then [8].) or (If [4], then [5].).).), then [9].
Not [9].
Therefore, Either (If [7], then [8].) or (If [4], then [5].)..
[SC2-4]
Modus Tonens:
If (If [7], then [8].), then [10].
Not [10].
Therefore, Not (If [7], then [8].)..
|
{0: 'Surgical menopause is when both the uterus and ovaries are removed.', 1: 'Honor is defined as esteem, respect, or reverence.', 2: 'Some forces act on sediments.', 3: 'Dehydration is the common cause of a lot of headaches.', 4: 'Tissues comprise larger group minds, or organs.', 5: 'Fair fighting is a way to manage conflict and associated feelings effectively.', 6: 'Diuretics work to remove excess salts and water from the body in the form of urine.', 7: 'Many birds expect to be fed at a certain time every day.', 8: 'Abuse affects the health of both the mother and the baby.', 9: 'Piano tuners adjust piano strings to the proper pitch.', 10: 'Women have a higher daily requirement for iron than men because they store less iron and menstruate.'}
| 7 |
6,046 |
["Should it be the case that the claim that if space pervades everything and is without form, then the statement that 'either drowsiness is one of the greatest killers in interstate highway driving or symbols are neutral descriptions of phenomena' is incorrect is false, it follows that rale is noise.", "Given that the claim that if space pervades everything and is without form, then the statement that 'either drowsiness is one of the greatest killers in interstate highway driving or symbols are neutral descriptions of phenomena' is incorrect is false, it can be inferred that the statement, rale is noise, does not hold.", "One may reasonably assume that if the claim that space pervades everything and is without form is false, then the notion that 'if icons are paintings, then yoga is a discipline that takes great commitment and practice' is untrue.", 'On the condition that it is not true that if the claim that space pervades everything and is without form is false, then if icons are paintings, then yoga is a discipline that takes great commitment and practice, it is definitely the case that most locusts destroy vegetation.', 'We know that either men are much more likely to be affected than women or colon cancer is slightly more common in women than men.', 'Provided that men are much more likely to be affected than women, we know that boolean logic is a method for describing a set of objects or ideas.', "So long as colon cancer is slightly more common in women than men, 'we know that the claim that most locusts destroy vegetation is false' is true.", "Whenever it is true that boolean logic is a method for describing a set of objects or ideas, 'crashes are accidents' is true.", 'Once we know boolean logic is a method for describing a set of objects or ideas, we also know that the claim that crashes are accidents is false.']
|
Should it be the case that the claim that if space pervades everything and is without form, then the statement that 'either drowsiness is one of the greatest killers in interstate highway driving or symbols are neutral descriptions of phenomena' is incorrect is false, it follows that rale is noise. Given that the claim that if space pervades everything and is without form, then the statement that 'either drowsiness is one of the greatest killers in interstate highway driving or symbols are neutral descriptions of phenomena' is incorrect is false, it can be inferred that the statement, rale is noise, does not hold. One may reasonably assume that if the claim that space pervades everything and is without form is false, then the notion that 'if icons are paintings, then yoga is a discipline that takes great commitment and practice' is untrue. On the condition that it is not true that if the claim that space pervades everything and is without form is false, then if icons are paintings, then yoga is a discipline that takes great commitment and practice, it is definitely the case that most locusts destroy vegetation. We know that either men are much more likely to be affected than women or colon cancer is slightly more common in women than men. Provided that men are much more likely to be affected than women, we know that boolean logic is a method for describing a set of objects or ideas. So long as colon cancer is slightly more common in women than men, 'we know that the claim that most locusts destroy vegetation is false' is true. Whenever it is true that boolean logic is a method for describing a set of objects or ideas, 'crashes are accidents' is true. Once we know boolean logic is a method for describing a set of objects or ideas, we also know that the claim that crashes are accidents is false.
|
The statement that 'either drowsiness is one of the greatest killers in interstate highway driving or symbols are neutral descriptions of phenomena' is incorrect.
|
Either one or both of these statements are true: drowsiness is one of the greatest killers in interstate highway driving, or symbols are neutral descriptions of phenomena.
|
FALSE
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not (Either [0] or [1].).).).), then [3].
If (Not (If [2], then (Not (Either [0] or [1].).).).), then (Not [3].).
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then (If [4], then [5].). [SC1-2]
If (Not [2].), then (Not (If [4], then [5].).).
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (If (Not [2].), then (If [4], then [5].).).), then [6].
Not [6]. [SC2-3]
Therefore, If (Not [2].), then (If [4], then [5].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [6].). [SC1-4]
Not [7]. [SC2-4]
Therefore, Not [6]..
[SC1-4]
Constructive Dilemma:
Either [9] or [10].
If [9], then [7].
If [10], then (Not [6].).
Therefore, Either [7] or (Not [6].)..
[SC2-4]
Reductio Ad Absurdum:
If [7], then [8].
If [7], then (Not [8].).
Therefore, Not [7]..
|
{0: 'Drowsiness is one of the greatest killers in interstate highway driving.', 1: 'Symbols are neutral descriptions of phenomena.', 2: 'Space pervades everything and is without form.', 3: 'Rale is noise.', 4: 'Icons are paintings.', 5: 'Yoga is a discipline that takes great commitment and practice.', 6: 'Most locusts destroy vegetation.', 7: 'Boolean logic is a method for describing a set of objects or ideas.', 8: 'Crashes are accidents.', 9: 'Men are much more likely to be affected than women.', 10: 'Colon cancer is slightly more common in women than men.'}
| 7 |
6,235 |
['Assuming some people mistakenly believe that either ruins are the remains of a destroyed or decaying building or town or sprawl is an issue that hits people close to home, we know that handicapped people are people.', "If some people mistakenly believe that either ruins are the remains of a destroyed or decaying building or town or sprawl is an issue that hits people close to home, then the notion that 'handicapped people are people' is untrue.", 'Those that suggest most seedlings grow in environments are right.', 'Either lasers are optical devices or environmental stresses can also encourage the pines to drop needles earlier than normal.', "Should it be the case that environmental stresses can also encourage the pines to drop needles earlier than normal, it follows that if sprawl is an issue that hits people close to home, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false.", "Should it be the case that some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, it follows that the statement that states birds are some of the most colorful and interesting creatures that share our world is false.", 'Should it be the case that lasers are optical devices, it follows that some talons are part of choughs.', "On the condition that some talons are part of choughs, it is definitely the case that if sprawl is an issue that hits people close to home, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false.", "Should it be the case that it is not true that if some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, then birds are some of the most colorful and interesting creatures that share our world, it follows that koalas spend twenty hours a day sleeping or resting.", "Should it be the case that it is not true that if some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, then birds are some of the most colorful and interesting creatures that share our world, it follows that the statement 'koalas spend twenty hours a day sleeping or resting' can be considered false."]
|
Assuming some people mistakenly believe that either ruins are the remains of a destroyed or decaying building or town or sprawl is an issue that hits people close to home, we know that handicapped people are people. If some people mistakenly believe that either ruins are the remains of a destroyed or decaying building or town or sprawl is an issue that hits people close to home, then the notion that 'handicapped people are people' is untrue. Those that suggest most seedlings grow in environments are right. Either lasers are optical devices or environmental stresses can also encourage the pines to drop needles earlier than normal. Should it be the case that environmental stresses can also encourage the pines to drop needles earlier than normal, it follows that if sprawl is an issue that hits people close to home, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false. Should it be the case that some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, it follows that the statement that states birds are some of the most colorful and interesting creatures that share our world is false. Should it be the case that lasers are optical devices, it follows that some talons are part of choughs. On the condition that some talons are part of choughs, it is definitely the case that if sprawl is an issue that hits people close to home, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false. Should it be the case that it is not true that if some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, then birds are some of the most colorful and interesting creatures that share our world, it follows that koalas spend twenty hours a day sleeping or resting. Should it be the case that it is not true that if some people mistakenly believe that if most seedlings grow in environments, then if ruins are the remains of a destroyed or decaying building or town, then the statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false, then birds are some of the most colorful and interesting creatures that share our world, it follows that the statement 'koalas spend twenty hours a day sleeping or resting' can be considered false.
|
The statement 'either most mammals maintain body temperature or pickups have (part) headlamps' can be considered false.
|
The claim that most species are egg-layers, but some are ovoviviparous has no merit.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Not (Either [0] or [1].).). [SC2-1]
If [3], then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [7].
If (Not (Either [2] or [3].).), then (Not [7].).
Therefore, Either [2] or [3]..
[SC2-1]
Modus Ponens:
If [4], then (If [2], then (Not (Either [0] or [1].).).). [SC1-2]
[4]
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [2], then (Not (Either [0] or [1].).).).).), then [9]. [SC1-3]
If (Not (If [4], then (If [2], then (Not (Either [0] or [1].).).).).), then (Not [9].).
Therefore, If [4], then (If [2], then (Not (Either [0] or [1].).).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (If [2], then (Not (Either [0] or [1].).).).).), then [9].).), then [10].
If (Not (If (Not (If [4], then (If [2], then (Not (Either [0] or [1].).).).).), then [9].).), then (Not [10].).
Therefore, If (Not (If [4], then (If [2], then (Not (Either [0] or [1].).).).).), then [9]..
[SC3-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (Not (Either [0] or [1].).).). [SC2-2]
If [6], then (If [3], then (Not (Either [0] or [1].).).).
Therefore, If [3], then (Not (Either [0] or [1].).)..
[SC2-2]
Hypothetical Syllogism:
If [5], then [8].
If [8], then (If [3], then (Not (Either [0] or [1].).).).
Therefore, If [5], then (If [3], then (Not (Either [0] or [1].).).)..
|
{0: 'Most mammals maintain body temperature.', 1: 'Pickups have (part) headlamps.', 2: 'Ruins are the remains of a destroyed or decaying building or town.', 3: 'Sprawl is an issue that hits people close to home.', 4: 'Most seedlings grow in environments.', 5: 'Lasers are optical devices.', 6: 'Environmental stresses can also encourage the pines to drop needles earlier than normal.', 7: 'Handicapped people are people.', 8: 'Some talons are part of choughs.', 9: 'Birds are some of the most colorful and interesting creatures that share our world.', 10: 'Koalas spend twenty hours a day sleeping or resting.'}
| 7 |
6,538 |
['One may reasonably assume that if elements react with elements, then light acts as both a particle and a wave.', 'Should it be the case that women report death, it follows that opera is a play that is sung to music.', 'Once we know squirrels have territory, we also know that either elements react with elements or women report death.', 'It is a simple truth that some lesser kestrels feed on grasshoppers.', 'If some nations have research reactors, then if some lesser kestrels feed on grasshoppers, then squirrels have territory.', "So long as shallow tunnels connect tunnels, 'either southern pines grow over a wide range of soil fertility levels or some nations have research reactors' is true.", 'It is the case that shallow tunnels connect tunnels.', 'We know that either a catchword is a word or lifestyle choices help life.', 'Provided that a catchword is a word, we know that the claim that southern pines grow over a wide range of soil fertility levels is false.', 'On the condition that lifestyle choices help life, it is definitely the case that the claim that southern pines grow over a wide range of soil fertility levels is false.']
|
One may reasonably assume that if elements react with elements, then light acts as both a particle and a wave. Should it be the case that women report death, it follows that opera is a play that is sung to music. Once we know squirrels have territory, we also know that either elements react with elements or women report death. It is a simple truth that some lesser kestrels feed on grasshoppers. If some nations have research reactors, then if some lesser kestrels feed on grasshoppers, then squirrels have territory. So long as shallow tunnels connect tunnels, 'either southern pines grow over a wide range of soil fertility levels or some nations have research reactors' is true. It is the case that shallow tunnels connect tunnels. We know that either a catchword is a word or lifestyle choices help life. Provided that a catchword is a word, we know that the claim that southern pines grow over a wide range of soil fertility levels is false. On the condition that lifestyle choices help life, it is definitely the case that the claim that southern pines grow over a wide range of soil fertility levels is false.
|
We know that either light acts as both a particle and a wave or opera is a play that is sung to music.
|
It is not the case that either light acts as both a particle and a wave or opera is a play that is sung to music.
|
FALSE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0].
If [3], then [1].
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [4], then (Either [2] or [3].).
[4] [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [5], then [4]. [SC1-3]
[5]
Therefore, [4].
[SC1-3]
Modus Ponens:
If [6], then (If [5], then [4].).
[6] [SC2-4]
Therefore, If [5], then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [7] or [6]. [SC1-5]
Not [7]. [SC2-5]
Therefore, [6].
[SC1-5]
Modus Ponens:
If [8], then (Either [7] or [6].).
[8]
Therefore, Either [7] or [6]..
[SC2-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [7].).
If [10], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Light acts as both a particle and a wave.', 1: 'Opera is a play that is sung to music.', 2: 'Elements react with elements.', 3: 'Women report death.', 4: 'Squirrels have territory.', 5: 'Some lesser kestrels feed on grasshoppers.', 6: 'Some nations have research reactors.', 7: 'Southern pines grow over a wide range of soil fertility levels.', 8: 'Shallow tunnels connect tunnels.', 9: 'A catchword is a word.', 10: 'Lifestyle choices help life.'}
| 7 |
6,241 |
['It is a fact that either if dogs may have infection, then inexperience contributes to infertility or if the statement that states if eyelid surgery can rid the patient of constant tearing, then most owls occur in habitats is false, then humans are indeed a single species.', "So long as electrolysis is another method to remove unwanted hair, 'if the statement that states if eyelid surgery can rid the patient of constant tearing, then most owls occur in habitats is false, then it is a common misconception that humans are indeed a single species' is true.", 'It is fair to say that electrolysis is another method to remove unwanted hair.', 'On the condition that if dogs may have infection, then inexperience contributes to infertility, it is definitely the case that atoms have nucleae and electrons.', "Assuming the statement, if some beans have anatomies, then the claim that atoms have nucleae and electrons does not reflect reality, does not hold, we know that free radicals are by-products of our body's requirement for oxygen.", "Assuming the statement, if some beans have anatomies, then the claim that atoms have nucleae and electrons does not reflect reality, does not hold, we know that the claim that free radicals are by-products of our body's requirement for oxygen does not reflect reality.", 'Provided that if environmental democracy depends upon informed public participation and transparent decision-making, then most clouds form single layers, we know that some beans have anatomies.', 'Assuming environmental democracy depends upon informed public participation and transparent decision-making, we know that most clouds form single layers.']
|
It is a fact that either if dogs may have infection, then inexperience contributes to infertility or if the statement that states if eyelid surgery can rid the patient of constant tearing, then most owls occur in habitats is false, then humans are indeed a single species. So long as electrolysis is another method to remove unwanted hair, 'if the statement that states if eyelid surgery can rid the patient of constant tearing, then most owls occur in habitats is false, then it is a common misconception that humans are indeed a single species' is true. It is fair to say that electrolysis is another method to remove unwanted hair. On the condition that if dogs may have infection, then inexperience contributes to infertility, it is definitely the case that atoms have nucleae and electrons. Assuming the statement, if some beans have anatomies, then the claim that atoms have nucleae and electrons does not reflect reality, does not hold, we know that free radicals are by-products of our body's requirement for oxygen. Assuming the statement, if some beans have anatomies, then the claim that atoms have nucleae and electrons does not reflect reality, does not hold, we know that the claim that free radicals are by-products of our body's requirement for oxygen does not reflect reality. Provided that if environmental democracy depends upon informed public participation and transparent decision-making, then most clouds form single layers, we know that some beans have anatomies. Assuming environmental democracy depends upon informed public participation and transparent decision-making, we know that most clouds form single layers.
|
One may reasonably assume that if eyelid surgery can rid the patient of constant tearing, then most owls occur in habitats.
|
One may reasonably assume that if eyelid surgery is done under sedation and local anesthesia, then most owls occur in habitats.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If (Not (If [0], then [1].).), then [2].).
Not (If [4], then [5].). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Modus Tonens:
If (If [4], then [5].), then [6].
Not [6]. [SC2-3]
Therefore, Not (If [4], then [5].)..
[SC2-3]
Modus Ponens:
If [7], then (Not [6].). [SC1-4]
[7] [SC2-4]
Therefore, Not [6]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [7], then (Not [6].).).), then [10].
If (Not (If [7], then (Not [6].).).), then (Not [10].).
Therefore, If [7], then (Not [6].)..
[SC2-4]
Modus Ponens:
If (If [8], then [9].), then [7].
If [8], then [9].
Therefore, [7].
[SC2-1]
Modus Ponens:
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).).
[3]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
|
{0: 'Eyelid surgery can rid the patient of constant tearing.', 1: 'Most owls occur in habitats.', 2: 'Humans are indeed a single species.', 3: 'Electrolysis is another method to remove unwanted hair.', 4: 'Dogs may have infection.', 5: 'Inexperience contributes to infertility.', 6: 'Atoms have nucleae and electrons.', 7: 'Some beans have anatomies.', 8: 'Environmental democracy depends upon informed public participation and transparent decision-making.', 9: 'Most clouds form single layers.', 10: "Free radicals are by-products of our body's requirement for oxygen."}
| 7 |
6,590 |
['On the condition that the claim that northern cardinals have cones does not reflect reality, it is definitely the case that some people mistakenly believe that density varies only by about a few percent in the ocean.', 'We know that either atheists argue differently depending on what it is that grounds their unbelief or if a sirenian is an aquatic mammal, then clocks run slower in gravitational field.', 'Should it be the case that if a sirenian is an aquatic mammal, then clocks run slower in gravitational field, it follows that if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean.', 'Given that most growth hormones play major roles, it can be inferred that either plants form an erect tussock of dark green, leathery fronds or pneumonia is the leading cause of mortality and morbidity in bohol for several years now.', 'Assuming plants form an erect tussock of dark green, leathery fronds, we know that men batter other men in intimate relationships, women batter men, and women batter other women.', 'On the condition that men batter other men in intimate relationships, women batter men, and women batter other women, it is definitely the case that if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean.', 'We know that either monkeys are socially complex creatures or frequent Erections Staying sexually active can help prevent impotence.', 'When monkeys are socially complex creatures is true, it follows that if pneumonia is the leading cause of mortality and morbidity in bohol for several years now, then if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean.', 'Once we know frequent Erections Staying sexually active can help prevent impotence, we also know that if pneumonia is the leading cause of mortality and morbidity in bohol for several years now, then if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean.', 'One may reasonably assume that if the claim that most growth hormones play major roles does not reflect reality, then most skunks live in burrows.', 'The claim that most skunks live in burrows does not reflect reality.']
|
On the condition that the claim that northern cardinals have cones does not reflect reality, it is definitely the case that some people mistakenly believe that density varies only by about a few percent in the ocean. We know that either atheists argue differently depending on what it is that grounds their unbelief or if a sirenian is an aquatic mammal, then clocks run slower in gravitational field. Should it be the case that if a sirenian is an aquatic mammal, then clocks run slower in gravitational field, it follows that if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean. Given that most growth hormones play major roles, it can be inferred that either plants form an erect tussock of dark green, leathery fronds or pneumonia is the leading cause of mortality and morbidity in bohol for several years now. Assuming plants form an erect tussock of dark green, leathery fronds, we know that men batter other men in intimate relationships, women batter men, and women batter other women. On the condition that men batter other men in intimate relationships, women batter men, and women batter other women, it is definitely the case that if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean. We know that either monkeys are socially complex creatures or frequent Erections Staying sexually active can help prevent impotence. When monkeys are socially complex creatures is true, it follows that if pneumonia is the leading cause of mortality and morbidity in bohol for several years now, then if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean. Once we know frequent Erections Staying sexually active can help prevent impotence, we also know that if pneumonia is the leading cause of mortality and morbidity in bohol for several years now, then if atheists argue differently depending on what it is that grounds their unbelief, then if the claim that northern cardinals have cones does not reflect reality, then density varies only by about a few percent in the ocean. One may reasonably assume that if the claim that most growth hormones play major roles does not reflect reality, then most skunks live in burrows. The claim that most skunks live in burrows does not reflect reality.
|
It is fair to say that northern cardinals have cones.
|
The statement that states northern cardinals have cones is false.
|
FALSE
|
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 (If [3], then [4].).
If [2], then (If (Not [0].), then [1].). [SC2-2]
If (If [3], then [4].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [2], then (If (Not [0].), then [1].).). [SC2-3]
If [6], then (If [2], then (If (Not [0].), then [1].).). [SC3-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If [10], then (Either [5] or [6].).
[10] [SC2-4]
Therefore, Either [5] or [6]..
[SC2-4]
Modus Tonens:
If (Not [10].), then [11].
Not [11].
Therefore, [10].
[SC2-3]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (If [2], then (If (Not [0].), then [1].).).
Therefore, If [5], then (If [2], then (If (Not [0].), then [1].).)..
[SC3-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (If [2], then (If (Not [0].), then [1].).).).
If [9], then (If [6], then (If [2], then (If (Not [0].), then [1].).).).
Therefore, If [6], then (If [2], then (If (Not [0].), then [1].).)..
|
{0: 'Northern cardinals have cones.', 1: 'Density varies only by about a few percent in the ocean.', 2: 'Atheists argue differently depending on what it is that grounds their unbelief.', 3: 'A sirenian is an aquatic mammal.', 4: 'Clocks run slower in gravitational field.', 5: 'Plants form an erect tussock of dark green, leathery fronds.', 6: 'Pneumonia is the leading cause of mortality and morbidity in bohol for several years now.', 7: 'Men batter other men in intimate relationships, women batter men, and women batter other women.', 8: 'Monkeys are socially complex creatures.', 9: 'Frequent Erections Staying sexually active can help prevent impotence.', 10: 'Most growth hormones play major roles.', 11: 'Most skunks live in burrows.'}
| 7 |
6,358 |
['Once we know either vasopressin is hormones or science can handle with skill and insight the evolution of form, we also know that panic attacks are one of the most distressing conditions that a person can experience.', "The statement 'some scientists watch wolves' can be considered false.", "Whenever it is true that some people mistakenly believe that if if infestation is a swarm, then music has many healing properties, then either vasopressin is hormones or science can handle with skill and insight the evolution of form, 'if antibiotic therapy yields results, then roots produce shoots' is true.", 'There is good reason to believe that either geese shed feathers or genome degradation is an ongoing process in Rickettsia .', 'Given that geese shed feathers, it can be inferred that if it is not the case that if infestation is a swarm, then music has many healing properties, then some scientists watch wolves.', 'On the condition that genome degradation is an ongoing process in Rickettsia , it is definitely the case that if it is not the case that if infestation is a swarm, then music has many healing properties, then some scientists watch wolves.', 'We know that the claim that some air contains smoke is false.', 'We know that at least one of two things is true: if intellectual growth entails the development of academic skills, then compaction prevents water seeping into the soil and prevents adequate drainage, or if if antibiotic therapy yields results, then roots produce shoots, then some air contains smoke.', 'It is a common misconception that if intellectual growth entails the development of academic skills, then compaction prevents water seeping into the soil and prevents adequate drainage.']
|
Once we know either vasopressin is hormones or science can handle with skill and insight the evolution of form, we also know that panic attacks are one of the most distressing conditions that a person can experience. The statement 'some scientists watch wolves' can be considered false. Whenever it is true that some people mistakenly believe that if if infestation is a swarm, then music has many healing properties, then either vasopressin is hormones or science can handle with skill and insight the evolution of form, 'if antibiotic therapy yields results, then roots produce shoots' is true. There is good reason to believe that either geese shed feathers or genome degradation is an ongoing process in Rickettsia . Given that geese shed feathers, it can be inferred that if it is not the case that if infestation is a swarm, then music has many healing properties, then some scientists watch wolves. On the condition that genome degradation is an ongoing process in Rickettsia , it is definitely the case that if it is not the case that if infestation is a swarm, then music has many healing properties, then some scientists watch wolves. We know that the claim that some air contains smoke is false. We know that at least one of two things is true: if intellectual growth entails the development of academic skills, then compaction prevents water seeping into the soil and prevents adequate drainage, or if if antibiotic therapy yields results, then roots produce shoots, then some air contains smoke. It is a common misconception that if intellectual growth entails the development of academic skills, then compaction prevents water seeping into the soil and prevents adequate drainage.
|
The idea that panic attacks are one of the most distressing conditions that a person can experience is true.
|
The idea that panic attacks are one of the most distressing conditions that a person can experience is true.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (If [1], then [2].), then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then [0].
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (If [1], then [2].), then (Either [3] or [4].).).), then (If [8], then [9].).
Not (If [8], then [9].). [SC2-3]
Therefore, If (If [1], then [2].), then (Either [3] or [4].)..
[SC2-3]
Modus Tonens:
If (If [8], then [9].), then [10]. [SC1-4]
Not [10].
Therefore, Not (If [8], then [9].)..
[SC1-4]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If (If [8], then [9].), then [10].).
Not (If [11], then [12].).
Therefore, If (If [8], then [9].), then [10]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [5]. [SC1-2]
Not [5].
Therefore, If [1], then [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then [2].).), then [5].).
If [7], then (If (Not (If [1], then [2].).), then [5].).
Therefore, If (Not (If [1], then [2].).), then [5]..
|
{0: 'Panic attacks are one of the most distressing conditions that a person can experience.', 1: 'Infestation is a swarm.', 2: 'Music has many healing properties.', 3: 'Vasopressin is hormones.', 4: 'Science can handle with skill and insight the evolution of form.', 5: 'Some scientists watch wolves.', 6: 'Geese shed feathers.', 7: 'Genome degradation is an ongoing process in Rickettsia .', 8: 'Antibiotic therapy yields results.', 9: 'Roots produce shoots.', 10: 'Some air contains smoke.', 11: 'Intellectual growth entails the development of academic skills.', 12: 'Compaction prevents water seeping into the soil and prevents adequate drainage.'}
| 7 |
6,959 |
['Those that suggest either variation is therefore one of the cornerstones of genetics or home ownership is the backbone of the American economy are wrong.', 'Provided that some mandibles deliver digestive fluid, we know that gastric cancer spreads very fast.', "One may reasonably assume that if it is a common misconception that if the statement that 'if it is not the case that golf carts are off-highway vehicles, then some mandibles deliver digestive fluid' is incorrect, then either variation is therefore one of the cornerstones of genetics or home ownership is the backbone of the American economy, then snakes thrive in almost every region of the world.", 'Either one or both of these statements are true: fecal streptococci are relatively long-lived in the environment, or talcum powder speeds up drying.', 'When fecal streptococci are relatively long-lived in the environment is true, it follows that if some mandibles deliver digestive fluid, then the claim that gastric cancer spreads very fast does not correspond with reality.', "Whenever it is true that talcum powder speeds up drying, 'if some mandibles deliver digestive fluid, then the claim that gastric cancer spreads very fast does not correspond with reality' is true.", 'On the condition that mimicry is an adaptation that makes an animal look like another animal or object, it is definitely the case that those that suggest snakes thrive in almost every region of the world are wrong.', "So long as the statement that states mimicry is an adaptation that makes an animal look like another animal or object is false, 'native fish are part of natural food webs that have evolved over millions of years' is true.", 'If the statement that states mimicry is an adaptation that makes an animal look like another animal or object is false, then the statement, native fish are part of natural food webs that have evolved over millions of years, does not hold.']
|
Those that suggest either variation is therefore one of the cornerstones of genetics or home ownership is the backbone of the American economy are wrong. Provided that some mandibles deliver digestive fluid, we know that gastric cancer spreads very fast. One may reasonably assume that if it is a common misconception that if the statement that 'if it is not the case that golf carts are off-highway vehicles, then some mandibles deliver digestive fluid' is incorrect, then either variation is therefore one of the cornerstones of genetics or home ownership is the backbone of the American economy, then snakes thrive in almost every region of the world. Either one or both of these statements are true: fecal streptococci are relatively long-lived in the environment, or talcum powder speeds up drying. When fecal streptococci are relatively long-lived in the environment is true, it follows that if some mandibles deliver digestive fluid, then the claim that gastric cancer spreads very fast does not correspond with reality. Whenever it is true that talcum powder speeds up drying, 'if some mandibles deliver digestive fluid, then the claim that gastric cancer spreads very fast does not correspond with reality' is true. On the condition that mimicry is an adaptation that makes an animal look like another animal or object, it is definitely the case that those that suggest snakes thrive in almost every region of the world are wrong. So long as the statement that states mimicry is an adaptation that makes an animal look like another animal or object is false, 'native fish are part of natural food webs that have evolved over millions of years' is true. If the statement that states mimicry is an adaptation that makes an animal look like another animal or object is false, then the statement, native fish are part of natural food webs that have evolved over millions of years, does not hold.
|
The claim that golf carts are off-highway vehicles is true.
|
A golf cart is golf equipment.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then (Either [3] or [4].).).), then [7].
Not [7]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [3] or [4].)..
[SC2-3]
Modus Ponens:
If [8], then (Not [7].).
[8] [SC2-4]
Therefore, Not [7]..
[SC2-4]
Reductio Ad Absurdum:
If (Not [8].), then [9].
If (Not [8].), then (Not [9].).
Therefore, [8].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then (Not [2].).).
If [6], then (If [1], then (Not [2].).).
Therefore, If [1], then (Not [2].)..
|
{0: 'Golf carts are off-highway vehicles.', 1: 'Some mandibles deliver digestive fluid.', 2: 'Gastric cancer spreads very fast.', 3: 'Variation is therefore one of the cornerstones of genetics.', 4: 'Home ownership is the backbone of the American economy.', 5: 'Fecal streptococci are relatively long-lived in the environment.', 6: 'Talcum powder speeds up drying.', 7: 'Snakes thrive in almost every region of the world.', 8: 'Mimicry is an adaptation that makes an animal look like another animal or object.', 9: 'Native fish are part of natural food webs that have evolved over millions of years.'}
| 7 |
6,848 |
["The notion that 'if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling' is untrue.", 'Many people rightly believe that lack of exercise can put people at risk for osteoporosis.', "Should it be the case that the statement that states if lack of exercise can put people at risk for osteoporosis, then either if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling or magnesium supplements appear to decrease the incidence of migraine attacks in certain people is false, it follows that the statement that 'butterflies are located on continents' is incorrect.", 'The statement, a storefront is a front, does not hold.', 'There is good reason to believe that either silence is a powerful force in spiritual growth or if the statement, if the statement that states if lack of exercise can put people at risk for osteoporosis, then either if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling or magnesium supplements appear to decrease the incidence of migraine attacks in certain people is false, then butterflies are located on continents, does not hold, then a storefront is a front.', "Provided that if people are more at risk of getting meningitis if they have a viral infection already, then baby animals cry in response to isolation or loneliness, in an effort to locate their parents, we know that the statement that 'silence is a powerful force in spiritual growth' is incorrect.", "Whenever it is true that those that suggest if people are more at risk of getting meningitis if they have a viral infection already, then baby animals cry in response to isolation or loneliness, in an effort to locate their parents are wrong, 'some whales feed on squids' is true.", 'We know that the claim that some whales feed on squids is false.']
|
The notion that 'if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling' is untrue. Many people rightly believe that lack of exercise can put people at risk for osteoporosis. Should it be the case that the statement that states if lack of exercise can put people at risk for osteoporosis, then either if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling or magnesium supplements appear to decrease the incidence of migraine attacks in certain people is false, it follows that the statement that 'butterflies are located on continents' is incorrect. The statement, a storefront is a front, does not hold. There is good reason to believe that either silence is a powerful force in spiritual growth or if the statement, if the statement that states if lack of exercise can put people at risk for osteoporosis, then either if palladium is a lustrous silver-white metal, then vesicles are chambers of gas that get trapped in a rock while it is cooling or magnesium supplements appear to decrease the incidence of migraine attacks in certain people is false, then butterflies are located on continents, does not hold, then a storefront is a front. Provided that if people are more at risk of getting meningitis if they have a viral infection already, then baby animals cry in response to isolation or loneliness, in an effort to locate their parents, we know that the statement that 'silence is a powerful force in spiritual growth' is incorrect. Whenever it is true that those that suggest if people are more at risk of getting meningitis if they have a viral infection already, then baby animals cry in response to isolation or loneliness, in an effort to locate their parents are wrong, 'some whales feed on squids' is true. We know that the claim that some whales feed on squids is false.
|
The claim that magnesium supplements appear to decrease the incidence of migraine attacks in certain people is true.
|
Magnesium supplements help prevent muscular contraction.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either (If [1], then [2].) or [0].). [SC1-2]
[3]
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [4]. [SC1-3]
If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then (Not [4].).
Therefore, If [3], then (Either (If [1], then [2].) or [0].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [4].).), then [5]. [SC1-4]
Not [5].
Therefore, If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [4]..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (If (Not (If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [4].).), then [5].).
Not [6]. [SC2-5]
Therefore, If (Not (If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [4].).), then [5]..
[SC2-5]
Modus Ponens:
If (If [7], then [8].), then (Not [6].).
If [7], then [8]. [SC2-6]
Therefore, Not [6]..
[SC2-6]
Modus Tonens:
If (Not (If [7], then [8].).), then [9].
Not [9].
Therefore, If [7], then [8]..
|
{0: 'Magnesium supplements appear to decrease the incidence of migraine attacks in certain people.', 1: 'Palladium is a lustrous silver-white metal.', 2: 'Vesicles are chambers of gas that get trapped in a rock while it is cooling.', 3: 'Lack of exercise can put people at risk for osteoporosis.', 4: 'Butterflies are located on continents.', 5: 'A storefront is a front.', 6: 'Silence is a powerful force in spiritual growth.', 7: 'People are more at risk of getting meningitis if they have a viral infection already.', 8: 'Baby animals cry in response to isolation or loneliness, in an effort to locate their parents.', 9: 'Some whales feed on squids.'}
| 7 |
6,792 |
['It is a fact that either equanimity is the highest and most refined of the divine abidings or deforestation does more than remove habitat.', "When pesticides can spread through the environment from use and disposal is true, it follows that if the statement 'if equanimity is the highest and most refined of the divine abidings, then the claim that sunglasses are located in cars does not correspond with reality' can be considered false, then herbicides are useful, effective tools in the control of weeds in turf areas.", 'It is a simple truth that pesticides can spread through the environment from use and disposal.', "Whenever it is true that herbicides are useful, effective tools in the control of weeds in turf areas, 'syncrometer testing shows it kills most pathogens immediately' is true.", "Given that herbicides are useful, effective tools in the control of weeds in turf areas, it can be inferred that the notion that 'syncrometer testing shows it kills most pathogens immediately' is untrue.", 'Given that historical sources are the clues to fitting a story together, it can be inferred that if feral hogs are simply domestic hogs gone wild, then if deforestation does more than remove habitat, then the claim that sunglasses are located in cars does not correspond with reality.', 'It is fair to say that historical sources are the clues to fitting a story together.', "Assuming the statement 'feral hogs are simply domestic hogs gone wild' can be considered false, we know that most lungfishes have ear ears.", 'The statement, most lungfishes have ear ears, does not hold.']
|
It is a fact that either equanimity is the highest and most refined of the divine abidings or deforestation does more than remove habitat. When pesticides can spread through the environment from use and disposal is true, it follows that if the statement 'if equanimity is the highest and most refined of the divine abidings, then the claim that sunglasses are located in cars does not correspond with reality' can be considered false, then herbicides are useful, effective tools in the control of weeds in turf areas. It is a simple truth that pesticides can spread through the environment from use and disposal. Whenever it is true that herbicides are useful, effective tools in the control of weeds in turf areas, 'syncrometer testing shows it kills most pathogens immediately' is true. Given that herbicides are useful, effective tools in the control of weeds in turf areas, it can be inferred that the notion that 'syncrometer testing shows it kills most pathogens immediately' is untrue. Given that historical sources are the clues to fitting a story together, it can be inferred that if feral hogs are simply domestic hogs gone wild, then if deforestation does more than remove habitat, then the claim that sunglasses are located in cars does not correspond with reality. It is fair to say that historical sources are the clues to fitting a story together. Assuming the statement 'feral hogs are simply domestic hogs gone wild' can be considered false, we know that most lungfishes have ear ears. The statement, most lungfishes have ear ears, does not hold.
|
The claim that sunglasses are located in cars does not correspond with reality.
|
It is a simple truth that sunglasses are located in cars.
|
FALSE
|
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]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If [1], then (Not [0].).).), then [4].).
[7]
Therefore, If (Not (If [1], then (Not [0].).).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then (Not [0].).). [SC1-2]
[3] [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [6], then (If [3], then (If [2], then (Not [0].).).).
[6]
Therefore, If [3], then (If [2], then (Not [0].).)..
[SC2-2]
Modus Tonens:
If (Not [3].), then [8].
Not [8].
Therefore, [3].
|
{0: 'Sunglasses are located in cars.', 1: 'Equanimity is the highest and most refined of the divine abidings.', 2: 'Deforestation does more than remove habitat.', 3: 'Feral hogs are simply domestic hogs gone wild.', 4: 'Herbicides are useful, effective tools in the control of weeds in turf areas.', 5: 'Syncrometer testing shows it kills most pathogens immediately.', 6: 'Historical sources are the clues to fitting a story together.', 7: 'Pesticides can spread through the environment from use and disposal.', 8: 'Most lungfishes have ear ears.'}
| 7 |
6,325 |
["The statement that 'twilight is part of evenings' is incorrect.", "One may reasonably assume that if the statement 'if the statement, if some people mistakenly believe that man is characterized by freedom, then twilight is part of evenings, does not hold, then children are more likely than adults to develop heat rash' can be considered false, then if nature does include science, philosophy and art, then rattlesnakes often look much larger when seen live than after they have been killed.", 'It is a fact that either state governments have offices that focus on trade and export promotion or it is not the case that children are more likely than adults to develop heat rash.', 'It is not the case that state governments have offices that focus on trade and export promotion.', 'It is rational to agree that some mast cells are part of bulldogs.', "The statement 'vultures have (part) corpi' can be considered false.", 'Should it be the case that the claim that if some mast cells are part of bulldogs, then the claim that if nature does include science, philosophy and art, then rattlesnakes often look much larger when seen live than after they have been killed is false does not reflect reality, it follows that capitalism is a soul-crushing system.', 'If capitalism is a soul-crushing system, then vultures have (part) corpi.']
|
The statement that 'twilight is part of evenings' is incorrect. One may reasonably assume that if the statement 'if the statement, if some people mistakenly believe that man is characterized by freedom, then twilight is part of evenings, does not hold, then children are more likely than adults to develop heat rash' can be considered false, then if nature does include science, philosophy and art, then rattlesnakes often look much larger when seen live than after they have been killed. It is a fact that either state governments have offices that focus on trade and export promotion or it is not the case that children are more likely than adults to develop heat rash. It is not the case that state governments have offices that focus on trade and export promotion. It is rational to agree that some mast cells are part of bulldogs. The statement 'vultures have (part) corpi' can be considered false. Should it be the case that the claim that if some mast cells are part of bulldogs, then the claim that if nature does include science, philosophy and art, then rattlesnakes often look much larger when seen live than after they have been killed is false does not reflect reality, it follows that capitalism is a soul-crushing system. If capitalism is a soul-crushing system, then vultures have (part) corpi.
|
Those that suggest man is characterized by freedom are right.
|
Those that suggest man is characterized by freedom are right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (If [4], then [5].).
Not (If [4], then [5].). [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Modus Ponens:
If [6], then (Not (If [4], then [5].).). [SC1-4]
[6]
Therefore, Not (If [4], then [5].)..
[SC1-4]
Modus Tonens:
If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]. [SC1-5]
Not [7].
Therefore, If [6], then (Not (If [4], then [5].).)..
[SC1-5]
Hypothetical Syllogism:
If (Not (If [6], then (Not (If [4], then [5].).).).), then [8].
If [8], then [7].
Therefore, If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3].
Therefore, Not [2]..
|
{0: 'Man is characterized by freedom.', 1: 'Twilight is part of evenings.', 2: 'Children are more likely than adults to develop heat rash.', 3: 'State governments have offices that focus on trade and export promotion.', 4: 'Nature does include science, philosophy and art.', 5: 'Rattlesnakes often look much larger when seen live than after they have been killed.', 6: 'Some mast cells are part of bulldogs.', 7: 'Vultures have (part) corpi.', 8: 'Capitalism is a soul-crushing system.'}
| 7 |
6,899 |
['Assuming ventricular fibrillation is rare in children but very common in older adults, we know that either bees love cotton blossoms or prednisone is very inexpensive and comes in both small dosage pill and liquid forms.', 'Assuming it is a common misconception that if bees love cotton blossoms, then petals have (part) leaf shapes, we know that photojournalists are warriors who shoot with cameras instead of guns.', 'The claim that gametophytes contain chloroplasts does not reflect reality.', 'We know that at least one of two things is true: some water collects in streams, or ventricular fibrillation is rare in children but very common in older adults.', 'Some people mistakenly believe that some water collects in streams.', 'Assuming it is a common misconception that if bees love cotton blossoms, then petals have (part) leaf shapes, we know that calves are born fully formed and are able to swim alongside their mothers immediately.', 'Should it be the case that calves are born fully formed and are able to swim alongside their mothers immediately, it follows that the claim that photojournalists are warriors who shoot with cameras instead of guns has no merit.', 'It is a fact that either either experiments use such materials or viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or sentence types depend on the number and types of clauses.', 'Given that either experiments use such materials or viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins, it can be inferred that if the statement that states if prednisone is very inexpensive and comes in both small dosage pill and liquid forms, then petals have (part) leaf shapes is false, then gametophytes contain chloroplasts.', 'Provided that sentence types depend on the number and types of clauses, we know that if the statement that states if prednisone is very inexpensive and comes in both small dosage pill and liquid forms, then petals have (part) leaf shapes is false, then gametophytes contain chloroplasts.']
|
Assuming ventricular fibrillation is rare in children but very common in older adults, we know that either bees love cotton blossoms or prednisone is very inexpensive and comes in both small dosage pill and liquid forms. Assuming it is a common misconception that if bees love cotton blossoms, then petals have (part) leaf shapes, we know that photojournalists are warriors who shoot with cameras instead of guns. The claim that gametophytes contain chloroplasts does not reflect reality. We know that at least one of two things is true: some water collects in streams, or ventricular fibrillation is rare in children but very common in older adults. Some people mistakenly believe that some water collects in streams. Assuming it is a common misconception that if bees love cotton blossoms, then petals have (part) leaf shapes, we know that calves are born fully formed and are able to swim alongside their mothers immediately. Should it be the case that calves are born fully formed and are able to swim alongside their mothers immediately, it follows that the claim that photojournalists are warriors who shoot with cameras instead of guns has no merit. It is a fact that either either experiments use such materials or viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or sentence types depend on the number and types of clauses. Given that either experiments use such materials or viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins, it can be inferred that if the statement that states if prednisone is very inexpensive and comes in both small dosage pill and liquid forms, then petals have (part) leaf shapes is false, then gametophytes contain chloroplasts. Provided that sentence types depend on the number and types of clauses, we know that if the statement that states if prednisone is very inexpensive and comes in both small dosage pill and liquid forms, then petals have (part) leaf shapes is false, then gametophytes contain chloroplasts.
|
Many people rightly believe that petals have (part) leaf shapes.
|
Many people rightly believe that petals have (part) leaf shapes.
|
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] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or [3].
Not [9].
Therefore, [3].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [5].
If (Not (If [1], then [0].).), then (Not [5].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [10].
If [10], then (Not [5].).
Therefore, If (Not (If [1], then [0].).), then (Not [5].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [4]. [SC1-2]
Not [4].
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (If (Not (If [2], then [0].).), then [4].).
If [8], then (If (Not (If [2], then [0].).), then [4].).
Therefore, If (Not (If [2], then [0].).), then [4]..
|
{0: 'Petals have (part) leaf shapes.', 1: 'Bees love cotton blossoms.', 2: 'Prednisone is very inexpensive and comes in both small dosage pill and liquid forms.', 3: 'Ventricular fibrillation is rare in children but very common in older adults.', 4: 'Gametophytes contain chloroplasts.', 5: 'Photojournalists are warriors who shoot with cameras instead of guns.', 6: 'Experiments use such materials.', 7: 'Viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins.', 8: 'Sentence types depend on the number and types of clauses.', 9: 'Some water collects in streams.', 10: 'Calves are born fully formed and are able to swim alongside their mothers immediately.'}
| 7 |
6,809 |
["The statement 'many breeders start with several breeding age females and perhaps one male' can be considered true.", "The notion that 'giraffes have excellent eyesights' is untrue.", 'We know that either either ancestors adapt to oceanic environments or habitats provide limit resources or crude oil means any naturally occurring, unrefined petroleum liquid.', "So long as either ancestors adapt to oceanic environments or habitats provide limit resources, 'giraffes have excellent eyesights' is true.", 'On the condition that crude oil means any naturally occurring, unrefined petroleum liquid, it is definitely the case that if many breeders start with several breeding age females and perhaps one male, then seizures are common during acute infarction and hemorrhage and require anticonvulsant therapy.', 'On the condition that the statement that states if seizures are common during acute infarction and hemorrhage and require anticonvulsant therapy, then fiber requires removals is false, it is definitely the case that most food chemists work for private industries.', 'We know that the claim that most food chemists work for private industries is false.', 'One may reasonably assume that if those that suggest if fiber requires removals, then evolutionists are as biased toward naturalism as the creationists are toward supernaturalism are wrong, then most zoos keep elephants.', "Once we know those that suggest if fiber requires removals, then evolutionists are as biased toward naturalism as the creationists are toward supernaturalism are wrong, we also know that the statement 'most zoos keep elephants' can be considered false."]
|
The statement 'many breeders start with several breeding age females and perhaps one male' can be considered true. The notion that 'giraffes have excellent eyesights' is untrue. We know that either either ancestors adapt to oceanic environments or habitats provide limit resources or crude oil means any naturally occurring, unrefined petroleum liquid. So long as either ancestors adapt to oceanic environments or habitats provide limit resources, 'giraffes have excellent eyesights' is true. On the condition that crude oil means any naturally occurring, unrefined petroleum liquid, it is definitely the case that if many breeders start with several breeding age females and perhaps one male, then seizures are common during acute infarction and hemorrhage and require anticonvulsant therapy. On the condition that the statement that states if seizures are common during acute infarction and hemorrhage and require anticonvulsant therapy, then fiber requires removals is false, it is definitely the case that most food chemists work for private industries. We know that the claim that most food chemists work for private industries is false. One may reasonably assume that if those that suggest if fiber requires removals, then evolutionists are as biased toward naturalism as the creationists are toward supernaturalism are wrong, then most zoos keep elephants. Once we know those that suggest if fiber requires removals, then evolutionists are as biased toward naturalism as the creationists are toward supernaturalism are wrong, we also know that the statement 'most zoos keep elephants' can be considered false.
|
The claim that evolutionists are as biased toward naturalism as the creationists are toward supernaturalism is true.
|
Evolutionists claim radioactive dating proves the Earth is old.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].). [SC1-3]
Not [4].
Therefore, If [1], then [2]..
[SC1-3]
Constructive Dilemma:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then [4].
If [8], then (If [1], then [2].).
Therefore, Either [4] or (If [1], then [2].)..
[SC2-2]
Hypothetical Syllogism:
If [2], then [3]. [SC1-3]
If [3], then [0]. [SC2-3]
Therefore, If [2], then [0]..
[SC1-3]
Modus Tonens:
If (Not (If [2], then [3].).), then [9].
Not [9].
Therefore, If [2], then [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then [0].).), then [5].
If (Not (If [3], then [0].).), then (Not [5].).
Therefore, If [3], then [0]..
|
{0: 'Evolutionists are as biased toward naturalism as the creationists are toward supernaturalism.', 1: 'Many breeders start with several breeding age females and perhaps one male.', 2: 'Seizures are common during acute infarction and hemorrhage and require anticonvulsant therapy.', 3: 'Fiber requires removals.', 4: 'Giraffes have excellent eyesights.', 5: 'Most zoos keep elephants.', 6: 'Ancestors adapt to oceanic environments.', 7: 'Habitats provide limit resources.', 8: 'Crude oil means any naturally occurring, unrefined petroleum liquid.', 9: 'Most food chemists work for private industries.'}
| 7 |
6,350 |
['It is rational to believe that either acidic reflux can cause both esophageal ulceration and megaesophagus or if earthquakes strike northern regions, then most female alligators remain in small areas.', 'Provided that if earthquakes strike northern regions, then most female alligators remain in small areas, we know that a news show is a program.', 'On the condition that acidic reflux can cause both esophageal ulceration and megaesophagus, it is definitely the case that communication is referred to as a process to emphasize that it is always changing, always in motion.', 'When some people mistakenly believe that if communication is referred to as a process to emphasize that it is always changing, always in motion, then a news show is a program is true, it follows that binges involve eating foods for emotional rather than nutritional reasons.', 'Once we know windmills are machines operated by windpower, we also know that if some people mistakenly believe that if communication is referred to as a process to emphasize that it is always changing, always in motion, then a news show is a program, then the statement that states binges involve eating foods for emotional rather than nutritional reasons is false.', 'The claim that otters are agile and fast in the water does not correspond with reality.', 'Provided that we know that the claim that if the statement that states windmills are machines operated by windpower is false, then otters are agile and fast in the water is false, we know that those that suggest steam engines in the automotive field are wrong.', 'Assuming we know that the claim that if the statement that states windmills are machines operated by windpower is false, then otters are agile and fast in the water is false, we know that cats look, function, and act the way they do, because of what they eat.', 'Once we know cats look, function, and act the way they do, because of what they eat, we also know that steam engines in the automotive field.']
|
It is rational to believe that either acidic reflux can cause both esophageal ulceration and megaesophagus or if earthquakes strike northern regions, then most female alligators remain in small areas. Provided that if earthquakes strike northern regions, then most female alligators remain in small areas, we know that a news show is a program. On the condition that acidic reflux can cause both esophageal ulceration and megaesophagus, it is definitely the case that communication is referred to as a process to emphasize that it is always changing, always in motion. When some people mistakenly believe that if communication is referred to as a process to emphasize that it is always changing, always in motion, then a news show is a program is true, it follows that binges involve eating foods for emotional rather than nutritional reasons. Once we know windmills are machines operated by windpower, we also know that if some people mistakenly believe that if communication is referred to as a process to emphasize that it is always changing, always in motion, then a news show is a program, then the statement that states binges involve eating foods for emotional rather than nutritional reasons is false. The claim that otters are agile and fast in the water does not correspond with reality. Provided that we know that the claim that if the statement that states windmills are machines operated by windpower is false, then otters are agile and fast in the water is false, we know that those that suggest steam engines in the automotive field are wrong. Assuming we know that the claim that if the statement that states windmills are machines operated by windpower is false, then otters are agile and fast in the water is false, we know that cats look, function, and act the way they do, because of what they eat. Once we know cats look, function, and act the way they do, because of what they eat, we also know that steam engines in the automotive field.
|
The statement 'a news show is a program' can be considered true.
|
The statement 'a news show is a program' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then [4].
If [4], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then [0].).), then [5].
If (Not (If [4], then [0].).), then (Not [5].). [SC2-3]
Therefore, If [4], then [0]..
[SC2-3]
Modus Ponens:
If [6], then (If (Not (If [4], then [0].).), then (Not [5].).).
[6] [SC2-4]
Therefore, If (Not (If [4], then [0].).), then (Not [5].)..
[SC2-4]
Modus Tonens:
If (Not [6].), then [7]. [SC1-5]
Not [7].
Therefore, [6].
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Not [6].), then [7].).), then [8]. [SC1-6]
If (Not (If (Not [6].), then [7].).), then (Not [8].).
Therefore, If (Not [6].), then [7]..
[SC1-6]
Hypothetical Syllogism:
If (Not (If (Not [6].), then [7].).), then [9].
If [9], then [8].
Therefore, If (Not (If (Not [6].), then [7].).), then [8]..
|
{0: 'A news show is a program.', 1: 'Acidic reflux can cause both esophageal ulceration and megaesophagus.', 2: 'Earthquakes strike northern regions.', 3: 'Most female alligators remain in small areas.', 4: 'Communication is referred to as a process to emphasize that it is always changing, always in motion.', 5: 'Binges involve eating foods for emotional rather than nutritional reasons.', 6: 'Windmills are machines operated by windpower.', 7: 'Otters are agile and fast in the water.', 8: 'Steam engines in the automotive field.', 9: 'Cats look, function, and act the way they do, because of what they eat.'}
| 7 |
6,363 |
['Should it be the case that some people mistakenly believe that if symmetry is balance, then those that suggest monarch butterfly caterpillars display behavior are wrong, it follows that if consumption reduces blood pressure, then myelin acts as an insulator similar to the nonconductive coatings of electrical wires.', 'Once we know some people mistakenly believe that if symmetry is balance, then those that suggest monarch butterfly caterpillars display behavior are wrong, we also know that some people mistakenly believe that if consumption reduces blood pressure, then myelin acts as an insulator similar to the nonconductive coatings of electrical wires.', 'It is a common misconception that adult rails are eaten too, picked off from above from harriers, hawks, falcons, and ravens.', 'On the condition that the claim that if the claim that if those that suggest symmetry is balance are wrong, then adult rails are eaten too, picked off from above from harriers, hawks, falcons, and ravens does not reflect reality, then collisions involve forces does not correspond with reality, it is definitely the case that birds often dig around on the bottom of their cages, sometimes in fecal material.', "The notion that 'birds often dig around on the bottom of their cages, sometimes in fecal material' is untrue.", "Either one or both of these statements are true: either some birds are parrots or a blintze is a cake, or the notion that 'collisions involve forces' is untrue.", 'It is rational to believe that either swedish ivies grow best in bright, indirect sunlight or it is not true that either some birds are parrots or a blintze is a cake.', 'The claim that swedish ivies grow best in bright, indirect sunlight does not correspond with reality.']
|
Should it be the case that some people mistakenly believe that if symmetry is balance, then those that suggest monarch butterfly caterpillars display behavior are wrong, it follows that if consumption reduces blood pressure, then myelin acts as an insulator similar to the nonconductive coatings of electrical wires. Once we know some people mistakenly believe that if symmetry is balance, then those that suggest monarch butterfly caterpillars display behavior are wrong, we also know that some people mistakenly believe that if consumption reduces blood pressure, then myelin acts as an insulator similar to the nonconductive coatings of electrical wires. It is a common misconception that adult rails are eaten too, picked off from above from harriers, hawks, falcons, and ravens. On the condition that the claim that if the claim that if those that suggest symmetry is balance are wrong, then adult rails are eaten too, picked off from above from harriers, hawks, falcons, and ravens does not reflect reality, then collisions involve forces does not correspond with reality, it is definitely the case that birds often dig around on the bottom of their cages, sometimes in fecal material. The notion that 'birds often dig around on the bottom of their cages, sometimes in fecal material' is untrue. Either one or both of these statements are true: either some birds are parrots or a blintze is a cake, or the notion that 'collisions involve forces' is untrue. It is rational to believe that either swedish ivies grow best in bright, indirect sunlight or it is not true that either some birds are parrots or a blintze is a cake. The claim that swedish ivies grow best in bright, indirect sunlight does not correspond with reality.
|
Those that suggest monarch butterfly caterpillars display behavior are wrong.
|
Those that suggest descent isa motion are wrong.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then (If [2], then [3].).
If (Not (If [1], then (Not [0].).).), then (Not (If [2], then [3].).).
Therefore, If [1], then (Not [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [4]. [SC1-2]
Not [4].
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If (Not [1].), then [4].).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not [1].), then [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not [1].), then [4].).), then [5].).), then [6].
Not [6].
Therefore, If (Not (If (Not [1].), then [4].).), then [5]..
[SC2-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Not [5].).
Not (Either [7] or [8].). [SC2-4]
Therefore, Not [5]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not (Either [7] or [8].).).
Not [9].
Therefore, Not (Either [7] or [8].)..
|
{0: 'Monarch butterfly caterpillars display behavior.', 1: 'Symmetry is balance.', 2: 'Consumption reduces blood pressure.', 3: 'Myelin acts as an insulator similar to the nonconductive coatings of electrical wires.', 4: 'Adult rails are eaten too, picked off from above from harriers, hawks, falcons, and ravens.', 5: 'Collisions involve forces.', 6: 'Birds often dig around on the bottom of their cages, sometimes in fecal material.', 7: 'Some birds are parrots.', 8: 'A blintze is a cake.', 9: 'Swedish ivies grow best in bright, indirect sunlight.'}
| 7 |
6,017 |
['If either most tsunamis are caused by quakes or robots have electrical components which power and control the machinery, then if several medications interfere with the effectiveness of oral contraceptives, then cannibalism is common among cuttle fish especially around mating season.', 'It is a fact that either large infestations can produce a sticky, sugary waste product known as honeydew or if cannibalism is common among cuttle fish especially around mating season, then brevity is the soul of e-mail.', "Whenever it is true that it is not true that either some severe acne can cause permanent scarring or either most tsunamis are caused by quakes or robots have electrical components which power and control the machinery, 'quest isa knowledge' is true.", 'It is not true that quest isa knowledge.', 'Once we know static electricity is the study of electric charges and the way they separate and combine, we also know that if some severe acne can cause permanent scarring, then if several medications interfere with the effectiveness of oral contraceptives, then cannibalism is common among cuttle fish especially around mating season.', 'Many people rightly believe that static electricity is the study of electric charges and the way they separate and combine.', 'Either if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier or the claim that large infestations can produce a sticky, sugary waste product known as honeydew has no merit.', 'One may reasonably assume that if if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier, then herbs are a variety of naturally found products that have medicinal properties.', "If if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier, then the statement 'herbs are a variety of naturally found products that have medicinal properties' can be considered false."]
|
If either most tsunamis are caused by quakes or robots have electrical components which power and control the machinery, then if several medications interfere with the effectiveness of oral contraceptives, then cannibalism is common among cuttle fish especially around mating season. It is a fact that either large infestations can produce a sticky, sugary waste product known as honeydew or if cannibalism is common among cuttle fish especially around mating season, then brevity is the soul of e-mail. Whenever it is true that it is not true that either some severe acne can cause permanent scarring or either most tsunamis are caused by quakes or robots have electrical components which power and control the machinery, 'quest isa knowledge' is true. It is not true that quest isa knowledge. Once we know static electricity is the study of electric charges and the way they separate and combine, we also know that if some severe acne can cause permanent scarring, then if several medications interfere with the effectiveness of oral contraceptives, then cannibalism is common among cuttle fish especially around mating season. Many people rightly believe that static electricity is the study of electric charges and the way they separate and combine. Either if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier or the claim that large infestations can produce a sticky, sugary waste product known as honeydew has no merit. One may reasonably assume that if if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier, then herbs are a variety of naturally found products that have medicinal properties. If if doctors believe that most cases of breast cancer in premenopausal women are genetically linked, then reflection occurs when there is a bouncing off of a barrier, then the statement 'herbs are a variety of naturally found products that have medicinal properties' can be considered false.
|
On the condition that several medications interfere with the effectiveness of oral contraceptives, it is definitely the case that brevity is the soul of e-mail.
|
On the condition that several medications interfere with the effectiveness of oral contraceptives, it is definitely the case that brevity is the soul of e-mail.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (If [0], then [2].). [SC2-2]
If (Either [4] or [5].), then (If [0], then [2].).
Therefore, If [0], then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (Either [4] or [5].).).), then [8].
Not [8].
Therefore, Either [3] or (Either [4] or [5].)..
[SC2-2]
Modus Ponens:
If [7], then (If [3], then (If [0], then [2].).).
[7]
Therefore, If [3], then (If [0], then [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If [2], then [1].).
Not [6]. [SC2-2]
Therefore, If [2], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [9], then [10].) or (Not [6].).
Not (If [9], then [10].). [SC2-3]
Therefore, Not [6]..
[SC2-3]
Reductio Ad Absurdum:
If (If [9], then [10].), then [11].
If (If [9], then [10].), then (Not [11].).
Therefore, Not (If [9], then [10].)..
|
{0: 'Several medications interfere with the effectiveness of oral contraceptives.', 1: 'Brevity is the soul of e-mail.', 2: 'Cannibalism is common among cuttle fish especially around mating season.', 3: 'Some severe acne can cause permanent scarring.', 4: 'Most tsunamis are caused by quakes.', 5: 'Robots have electrical components which power and control the machinery.', 6: 'Large infestations can produce a sticky, sugary waste product known as honeydew.', 7: 'Static electricity is the study of electric charges and the way they separate and combine.', 8: 'Quest isa knowledge.', 9: 'Doctors believe that most cases of breast cancer in premenopausal women are genetically linked.', 10: 'Reflection occurs when there is a bouncing off of a barrier.', 11: 'Herbs are a variety of naturally found products that have medicinal properties.'}
| 7 |
6,186 |
['It is rational to agree that dioxide enters tracheae.', "So long as either love is joy with the accompanying idea of an external cause or animals are feared when first seen, 'if dioxide enters tracheae, then if many colleges sell alcohol at sports events, then hippopotamuses have (part) cell membranes' is true.", 'We know that either love is joy with the accompanying idea of an external cause or animals are feared when first seen.', 'Either implants increase the technical difficulty of taking and reading mammograms or if tits have (part) corpi, then health care includes prevention as well as treatment of illness or injury.', "Whenever it is true that implants increase the technical difficulty of taking and reading mammograms, 'if it is not the case that many colleges sell alcohol at sports events, then darker colors give the impression of decreasing the size of facial features' is true.", 'Provided that if tits have (part) corpi, then health care includes prevention as well as treatment of illness or injury, we know that if it is not the case that many colleges sell alcohol at sports events, then darker colors give the impression of decreasing the size of facial features.', "Given that either myriapods do well in enclosures with plenty of floor space or communication is the only way to release emotion - negative or positive, it can be inferred that the statement 'darker colors give the impression of decreasing the size of facial features' can be considered false.", "So long as either a thigh is a limb or baroque art is dominated by contrast and illusion, 'either myriapods do well in enclosures with plenty of floor space or communication is the only way to release emotion - negative or positive' is true.", 'It is rational to believe that either a thigh is a limb or baroque art is dominated by contrast and illusion.']
|
It is rational to agree that dioxide enters tracheae. So long as either love is joy with the accompanying idea of an external cause or animals are feared when first seen, 'if dioxide enters tracheae, then if many colleges sell alcohol at sports events, then hippopotamuses have (part) cell membranes' is true. We know that either love is joy with the accompanying idea of an external cause or animals are feared when first seen. Either implants increase the technical difficulty of taking and reading mammograms or if tits have (part) corpi, then health care includes prevention as well as treatment of illness or injury. Whenever it is true that implants increase the technical difficulty of taking and reading mammograms, 'if it is not the case that many colleges sell alcohol at sports events, then darker colors give the impression of decreasing the size of facial features' is true. Provided that if tits have (part) corpi, then health care includes prevention as well as treatment of illness or injury, we know that if it is not the case that many colleges sell alcohol at sports events, then darker colors give the impression of decreasing the size of facial features. Given that either myriapods do well in enclosures with plenty of floor space or communication is the only way to release emotion - negative or positive, it can be inferred that the statement 'darker colors give the impression of decreasing the size of facial features' can be considered false. So long as either a thigh is a limb or baroque art is dominated by contrast and illusion, 'either myriapods do well in enclosures with plenty of floor space or communication is the only way to release emotion - negative or positive' is true. It is rational to believe that either a thigh is a limb or baroque art is dominated by contrast and illusion.
|
It is fair to say that hippopotamuses have (part) cell membranes.
|
Hippopotamuses swim in rivers.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If [1], then [0].). [SC1-2]
[3]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (Either [9] or [10].), then (If [3], then (If [1], then [0].).).
Either [9] or [10].
Therefore, If [3], then (If [1], then [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If (Not [1].), then [2].).
If (If [7], then [8].), then (If (Not [1].), then [2].).
Therefore, If (Not [1].), then [2]..
[SC2-2]
Modus Ponens:
If (Either [4] or [5].), then (Not [2].).
Either [4] or [5]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Ponens:
If (Either [11] or [12].), then (Either [4] or [5].).
Either [11] or [12].
Therefore, Either [4] or [5]..
|
{0: 'Hippopotamuses have (part) cell membranes.', 1: 'Many colleges sell alcohol at sports events.', 2: 'Darker colors give the impression of decreasing the size of facial features.', 3: 'Dioxide enters tracheae.', 4: 'Myriapods do well in enclosures with plenty of floor space.', 5: 'Communication is the only way to release emotion - negative or positive.', 6: 'Implants increase the technical difficulty of taking and reading mammograms.', 7: 'Tits have (part) corpi.', 8: 'Health care includes prevention as well as treatment of illness or injury.', 9: 'Love is joy with the accompanying idea of an external cause.', 10: 'Animals are feared when first seen.', 11: 'A thigh is a limb.', 12: 'Baroque art is dominated by contrast and illusion.'}
| 7 |
6,402 |
["Whenever it is true that if skies are used for daydreamings, then bone marrow is soft, gelatinous tissue that fills the medullary cavities - the centers of bones, 'if it is not true that either common trees are red, white, and black oak, red maple, ash, gray birch, white pine, and hemlock or male rats leave female rats after mating, then humans are omnivores, meaning they eat both plants and meat' is true.", 'There is good reason to believe that either watchs are located in department stores or if skies are used for daydreamings, then bone marrow is soft, gelatinous tissue that fills the medullary cavities - the centers of bones.', 'The statement that states watchs are located in department stores is false.', 'It is a fact that either either sporadic mutations cause most cases of cancer or further investigations yield details or either chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar or computers are located in backpacks.', 'The claim that either sporadic mutations cause most cases of cancer or further investigations yield details does not correspond with reality.', 'It is a fact that either most yaks live in different regions or a lay is a song.', 'Once we know most yaks live in different regions, we also know that if chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false.', "So long as a lay is a song, 'if chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false' is true.", 'It is rational to believe that either usability testing is a technique that can help to ensure good, user-centered design or most tribes also maintain their own police forces and court systems.', 'Provided that usability testing is a technique that can help to ensure good, user-centered design, we know that if computers are located in backpacks, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false.', 'Given that most tribes also maintain their own police forces and court systems, it can be inferred that if computers are located in backpacks, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false.']
|
Whenever it is true that if skies are used for daydreamings, then bone marrow is soft, gelatinous tissue that fills the medullary cavities - the centers of bones, 'if it is not true that either common trees are red, white, and black oak, red maple, ash, gray birch, white pine, and hemlock or male rats leave female rats after mating, then humans are omnivores, meaning they eat both plants and meat' is true. There is good reason to believe that either watchs are located in department stores or if skies are used for daydreamings, then bone marrow is soft, gelatinous tissue that fills the medullary cavities - the centers of bones. The statement that states watchs are located in department stores is false. It is a fact that either either sporadic mutations cause most cases of cancer or further investigations yield details or either chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar or computers are located in backpacks. The claim that either sporadic mutations cause most cases of cancer or further investigations yield details does not correspond with reality. It is a fact that either most yaks live in different regions or a lay is a song. Once we know most yaks live in different regions, we also know that if chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false. So long as a lay is a song, 'if chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false' is true. It is rational to believe that either usability testing is a technique that can help to ensure good, user-centered design or most tribes also maintain their own police forces and court systems. Provided that usability testing is a technique that can help to ensure good, user-centered design, we know that if computers are located in backpacks, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false. Given that most tribes also maintain their own police forces and court systems, it can be inferred that if computers are located in backpacks, then we know that the claim that humans are omnivores, meaning they eat both plants and meat is false.
|
It is rational to believe that either common trees are red, white, and black oak, red maple, ash, gray birch, white pine, and hemlock or male rats leave female rats after mating.
|
It is rational to believe that either common trees are red, white, and black oak, red maple, ash, gray birch, white pine, and hemlock or male rats leave female rats after mating.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (If (Not (Either [0] or [1].).), then [2].).
If [5], then [6]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [13] or (If [5], then [6].).
Not [13].
Therefore, If [5], then [6]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not [2].). [SC2-2]
If [4], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [3] or [4].).
Not (Either [7] or [8].).
Therefore, Either [3] or [4]..
[SC2-2]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If [3], then (Not [2].).).
If [12], then (If [3], then (Not [2].).).
Therefore, If [3], then (Not [2].)..
[SC3-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [4], then (Not [2].).).
If [10], then (If [4], then (Not [2].).).
Therefore, If [4], then (Not [2].)..
|
{0: 'Common trees are red, white, and black oak, red maple, ash, gray birch, white pine, and hemlock.', 1: 'Male rats leave female rats after mating.', 2: 'Humans are omnivores, meaning they eat both plants and meat.', 3: 'Chocolate is still a high-fat food, and many chocolate products contain large amounts of sugar.', 4: 'Computers are located in backpacks.', 5: 'Skies are used for daydreamings.', 6: 'Bone marrow is soft, gelatinous tissue that fills the medullary cavities - the centers of bones.', 7: 'Sporadic mutations cause most cases of cancer.', 8: 'Further investigations yield details.', 9: 'Usability testing is a technique that can help to ensure good, user-centered design.', 10: 'Most tribes also maintain their own police forces and court systems.', 11: 'Most yaks live in different regions.', 12: 'A lay is a song.', 13: 'Watchs are located in department stores.'}
| 7 |
6,338 |
['Once we know the statement that states multicellular organisms grow by increasing the number of cells is false, we also know that either tide is an occurrence or cellular respiration provides energy.', 'On the condition that psychology plays an important part in understanding and changing unsafe behaviours on the road, it is definitely the case that it is not the case that either tide is an occurrence or cellular respiration provides energy.', 'Assuming the statement, either most cobras have eyes or swaziland is part of Africa, does not hold, we know that white lines show the distribution of hot, X-ray emitting gas.', 'The statement that states white lines show the distribution of hot, X-ray emitting gas is false.', 'It is rational to agree that surveys are used for collect information.', 'On the condition that some people mistakenly believe that if swaziland is part of Africa, then psychology plays an important part in understanding and changing unsafe behaviours on the road, it is definitely the case that if some parents feed penguin chicks, then halons release bromine atoms which are even more potent ozone destroyers.', "So long as some people mistakenly believe that if swaziland is part of Africa, then psychology plays an important part in understanding and changing unsafe behaviours on the road, 'the statement 'if some parents feed penguin chicks, then halons release bromine atoms which are even more potent ozone destroyers' can be considered false' is true.", "So long as surveys are used for collect information, 'story times bring little ones and adults together to build interest in books and stories' is true.", "So long as story times bring little ones and adults together to build interest in books and stories, 'if most cobras have eyes, then psychology plays an important part in understanding and changing unsafe behaviours on the road' is true."]
|
Once we know the statement that states multicellular organisms grow by increasing the number of cells is false, we also know that either tide is an occurrence or cellular respiration provides energy. On the condition that psychology plays an important part in understanding and changing unsafe behaviours on the road, it is definitely the case that it is not the case that either tide is an occurrence or cellular respiration provides energy. Assuming the statement, either most cobras have eyes or swaziland is part of Africa, does not hold, we know that white lines show the distribution of hot, X-ray emitting gas. The statement that states white lines show the distribution of hot, X-ray emitting gas is false. It is rational to agree that surveys are used for collect information. On the condition that some people mistakenly believe that if swaziland is part of Africa, then psychology plays an important part in understanding and changing unsafe behaviours on the road, it is definitely the case that if some parents feed penguin chicks, then halons release bromine atoms which are even more potent ozone destroyers. So long as some people mistakenly believe that if swaziland is part of Africa, then psychology plays an important part in understanding and changing unsafe behaviours on the road, 'the statement 'if some parents feed penguin chicks, then halons release bromine atoms which are even more potent ozone destroyers' can be considered false' is true. So long as surveys are used for collect information, 'story times bring little ones and adults together to build interest in books and stories' is true. So long as story times bring little ones and adults together to build interest in books and stories, 'if most cobras have eyes, then psychology plays an important part in understanding and changing unsafe behaviours on the road' is true.
|
The statement that states multicellular organisms grow by increasing the number of cells is right.
|
The claim that multicellular organisms grow by increasing the number of cells does not correspond with reality.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).).
[3] [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then [3]. [SC2-3]
If [5], then [3]. [SC3-3]
Therefore, [3].
[SC1-3]
Modus Tonens:
If (Not (Either [4] or [5].).), then [9].
Not [9].
Therefore, Either [4] or [5]..
[SC2-3]
Modus Ponens:
If [6], then (If [4], then [3].). [SC1-4]
[6]
Therefore, If [4], then [3]..
[SC1-4]
Hypothetical Syllogism:
If [6], then [10].
If [10], then (If [4], then [3].).
Therefore, If [6], then (If [4], then [3].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then [3].).), then (If [7], then [8].).
If (Not (If [5], then [3].).), then (Not (If [7], then [8].).).
Therefore, If [5], then [3]..
|
{0: 'Multicellular organisms grow by increasing the number of cells.', 1: 'Tide is an occurrence.', 2: 'Cellular respiration provides energy.', 3: 'Psychology plays an important part in understanding and changing unsafe behaviours on the road.', 4: 'Most cobras have eyes.', 5: 'Swaziland is part of Africa.', 6: 'Surveys are used for collect information.', 7: 'Some parents feed penguin chicks.', 8: 'Halons release bromine atoms which are even more potent ozone destroyers.', 9: 'White lines show the distribution of hot, X-ray emitting gas.', 10: 'Story times bring little ones and adults together to build interest in books and stories.'}
| 7 |
6,206 |
['We know that either crash pads are pads a skater sticks in their pants to cusion their falls or many people mistakenly believe that organ donation is against their religion.', 'Should it be the case that many people mistakenly believe that organ donation is against their religion, it follows that scar tissue is inevitable whenever there is damage to the normally elastic vagina.', 'Given that some penguins hear people, it can be inferred that diamonds come in many different forms and in many colors.', 'If diamonds come in many different forms and in many colors, then if scar tissue is inevitable whenever there is damage to the normally elastic vagina, then racial separatists are against their members marrying with other races.', 'One may reasonably assume that if either liquids are easy to mix and stay homogeneous or vegetables have their own special flavors, then some penguins hear people.', "Whenever it is true that if most engines make noise, then foxes seek rabbits, 'if crash pads are pads a skater sticks in their pants to cusion their falls, then scar tissue is inevitable whenever there is damage to the normally elastic vagina' is true.", "Whenever it is true that most engines make noise, 'foxes seek rabbits' is true.", "Whenever it is true that several medications reduce or eliminate the occurrence of fainting episodes, 'either liquids are easy to mix and stay homogeneous or vegetables have their own special flavors' is true.", 'We can assume that several medications reduce or eliminate the occurrence of fainting episodes.']
|
We know that either crash pads are pads a skater sticks in their pants to cusion their falls or many people mistakenly believe that organ donation is against their religion. Should it be the case that many people mistakenly believe that organ donation is against their religion, it follows that scar tissue is inevitable whenever there is damage to the normally elastic vagina. Given that some penguins hear people, it can be inferred that diamonds come in many different forms and in many colors. If diamonds come in many different forms and in many colors, then if scar tissue is inevitable whenever there is damage to the normally elastic vagina, then racial separatists are against their members marrying with other races. One may reasonably assume that if either liquids are easy to mix and stay homogeneous or vegetables have their own special flavors, then some penguins hear people. Whenever it is true that if most engines make noise, then foxes seek rabbits, 'if crash pads are pads a skater sticks in their pants to cusion their falls, then scar tissue is inevitable whenever there is damage to the normally elastic vagina' is true. Whenever it is true that most engines make noise, 'foxes seek rabbits' is true. Whenever it is true that several medications reduce or eliminate the occurrence of fainting episodes, 'either liquids are easy to mix and stay homogeneous or vegetables have their own special flavors' is true. We can assume that several medications reduce or eliminate the occurrence of fainting episodes.
|
Those that suggest racial separatists are against their members marrying with other races are right.
|
Those that suggest racial separatists are against their members marrying with other races are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If [1], then [0].). [SC1-2]
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then (If [1], then [0].).
Therefore, If [4], then (If [1], then [0].)..
[SC2-2]
Modus Ponens:
If (Either [8] or [9].), then [4].
Either [8] or [9]. [SC2-3]
Therefore, [4].
[SC2-3]
Modus Ponens:
If [10], then (Either [8] or [9].).
[10]
Therefore, Either [8] or [9]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [1].
Therefore, [1].
[SC2-2]
Modus Ponens:
If (If [5], then [6].), then (If [2], then [1].).
If [5], then [6].
Therefore, If [2], then [1]..
|
{0: 'Racial separatists are against their members marrying with other races.', 1: 'Scar tissue is inevitable whenever there is damage to the normally elastic vagina.', 2: 'Crash pads are pads a skater sticks in their pants to cusion their falls.', 3: 'Many people mistakenly believe that organ donation is against their religion.', 4: 'Some penguins hear people.', 5: 'Most engines make noise.', 6: 'Foxes seek rabbits.', 7: 'Diamonds come in many different forms and in many colors.', 8: 'Liquids are easy to mix and stay homogeneous.', 9: 'Vegetables have their own special flavors.', 10: 'Several medications reduce or eliminate the occurrence of fainting episodes.'}
| 7 |
6,963 |
['It is true that friends involve in activities.', 'When pollutants can include hydrocarbons, heavy metals, and pesticides is true, it follows that if either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females, then if friends involve in activities, then most places have maps and information.', 'On the condition that we know that the claim that either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females is false, it is definitely the case that allergens are everywhere, indoors and out.', 'One may reasonably assume that if the statement that states either backbones have (part) mast cells or pollutants can include hydrocarbons, heavy metals, and pesticides is false, then if students experience cold climates, then laces hold the body tight and demand the wearer to be transformed.', 'We know that the claim that if students experience cold climates, then laces hold the body tight and demand the wearer to be transformed is false.', 'Assuming either some many children use vitamins or water is obtained metabolically from food, and from moisture in food, we know that if backbones have (part) mast cells, then if either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females, then if friends involve in activities, then most places have maps and information.', 'It is rational to believe that either some many children use vitamins or water is obtained metabolically from food, and from moisture in food.', 'On the condition that mountain lions are solitary animals, it is definitely the case that it is not true that allergens are everywhere, indoors and out.', 'It is a simple truth that mountain lions are solitary animals.']
|
It is true that friends involve in activities. When pollutants can include hydrocarbons, heavy metals, and pesticides is true, it follows that if either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females, then if friends involve in activities, then most places have maps and information. On the condition that we know that the claim that either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females is false, it is definitely the case that allergens are everywhere, indoors and out. One may reasonably assume that if the statement that states either backbones have (part) mast cells or pollutants can include hydrocarbons, heavy metals, and pesticides is false, then if students experience cold climates, then laces hold the body tight and demand the wearer to be transformed. We know that the claim that if students experience cold climates, then laces hold the body tight and demand the wearer to be transformed is false. Assuming either some many children use vitamins or water is obtained metabolically from food, and from moisture in food, we know that if backbones have (part) mast cells, then if either golden thistle is primarily a threat to rangeland habitats or bisexuality is romantic or sexual attraction to males and females, then if friends involve in activities, then most places have maps and information. It is rational to believe that either some many children use vitamins or water is obtained metabolically from food, and from moisture in food. On the condition that mountain lions are solitary animals, it is definitely the case that it is not true that allergens are everywhere, indoors and out. It is a simple truth that mountain lions are solitary animals.
|
We can assume that most places have maps and information.
|
Places have plants.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (If [1], then [0].). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Either [2] or [3].), then (If [1], then [0].).). [SC2-3]
If [5], then (If (Either [2] or [3].), then (If [1], then [0].).).
Therefore, If (Either [2] or [3].), then (If [1], then [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or [5].).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, Either [4] or [5]..
[SC2-3]
Modus Ponens:
If (Either [8] or [9].), then (If [4], then (If (Either [2] or [3].), then (If [1], then [0].).).).
Either [8] or [9].
Therefore, If [4], then (If (Either [2] or [3].), then (If [1], then [0].).)..
[SC2-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [6].
Not [6]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
|
{0: 'Most places have maps and information.', 1: 'Friends involve in activities.', 2: 'Golden thistle is primarily a threat to rangeland habitats.', 3: 'Bisexuality is romantic or sexual attraction to males and females.', 4: 'Backbones have (part) mast cells.', 5: 'Pollutants can include hydrocarbons, heavy metals, and pesticides.', 6: 'Allergens are everywhere, indoors and out.', 7: 'Mountain lions are solitary animals.', 8: 'Some many children use vitamins.', 9: 'Water is obtained metabolically from food, and from moisture in food.', 10: 'Students experience cold climates.', 11: 'Laces hold the body tight and demand the wearer to be transformed.'}
| 7 |
6,345 |
['Assuming the statement that states academic development involves problem solving in school-related areas is false, we know that doctors use antibiotics to kill bacteria and cure infections.', 'At least one of two things is true: urbanization has effects, or pluralism denies that there is one absolute principle or truth behind the universe.', 'Provided that urbanization has effects, we know that viruses are literally microscopic.', "So long as either atolls are generally remote from other land masses or primary dysmenorrhea is common menstrual cramps, 'if viruses are literally microscopic, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is true.", 'There is good reason to believe that either atolls are generally remote from other land masses or primary dysmenorrhea is common menstrual cramps.', "So long as some people look because it is good to be looking, or because they know the scriptures, 'if the notion that 'if pluralism denies that there is one absolute principle or truth behind the universe, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is untrue, then most butterflies has-part hearts' is true.", 'It is a simple truth that some people look because it is good to be looking, or because they know the scriptures.', "If the notion that 'if pluralism denies that there is one absolute principle or truth behind the universe, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is untrue, then burns are diseases.", 'One may reasonably assume that if burns are diseases, then it is a common misconception that most butterflies has-part hearts.']
|
Assuming the statement that states academic development involves problem solving in school-related areas is false, we know that doctors use antibiotics to kill bacteria and cure infections. At least one of two things is true: urbanization has effects, or pluralism denies that there is one absolute principle or truth behind the universe. Provided that urbanization has effects, we know that viruses are literally microscopic. So long as either atolls are generally remote from other land masses or primary dysmenorrhea is common menstrual cramps, 'if viruses are literally microscopic, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is true. There is good reason to believe that either atolls are generally remote from other land masses or primary dysmenorrhea is common menstrual cramps. So long as some people look because it is good to be looking, or because they know the scriptures, 'if the notion that 'if pluralism denies that there is one absolute principle or truth behind the universe, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is untrue, then most butterflies has-part hearts' is true. It is a simple truth that some people look because it is good to be looking, or because they know the scriptures. If the notion that 'if pluralism denies that there is one absolute principle or truth behind the universe, then if the statement that states academic development involves problem solving in school-related areas is false, then the claim that doctors use antibiotics to kill bacteria and cure infections has no merit' is untrue, then burns are diseases. One may reasonably assume that if burns are diseases, then it is a common misconception that most butterflies has-part hearts.
|
It is rational to agree that academic development involves problem solving in school-related areas.
|
Mosquitoes are found wherever there is standing water, or even moist soil.
|
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].
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Hypothetical Syllogism:
If [2], then [5].
If [5], then (If (Not [0].), then (Not [1].).). [SC2-3]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC2-3]
Modus Ponens:
If (Either [6] or [7].), then (If [5], then (If (Not [0].), then (Not [1].).).).
Either [6] or [7].
Therefore, If [5], then (If (Not [0].), then (Not [1].).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [4]. [SC1-3]
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then (Not [4].). [SC2-3]
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [4].).
[8]
Therefore, If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [9].
If [9], then (Not [4].).
Therefore, If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then (Not [4].)..
|
{0: 'Academic development involves problem solving in school-related areas.', 1: 'Doctors use antibiotics to kill bacteria and cure infections.', 2: 'Urbanization has effects.', 3: 'Pluralism denies that there is one absolute principle or truth behind the universe.', 4: 'Most butterflies has-part hearts.', 5: 'Viruses are literally microscopic.', 6: 'Atolls are generally remote from other land masses.', 7: 'Primary dysmenorrhea is common menstrual cramps.', 8: 'Some people look because it is good to be looking, or because they know the scriptures.', 9: 'Burns are diseases.'}
| 7 |
6,313 |
['Once we know water spinach is an herbaceous aquatic or semi-aquatic perennial plant of the tropics or subtropics, we also know that a projection is anticipation.', 'Either one or both of these statements are true: most feet have nails, or if a projection is anticipation, then particles thrown out by the rapidly rotating core can heat the surrounding region, making it glow.', 'The claim that most feet have nails is false.', 'Once we know humans can be part of the sanitation control factor by removing food, water, and shelter, we also know that if particles thrown out by the rapidly rotating core can heat the surrounding region, making it glow, then tobacco smoke contains hundreds of toxic substances, many of which are also found in the workplace.', 'It is rational to believe that either carrots taste best when temperatures dip below freezing or it is not the case that tobacco smoke contains hundreds of toxic substances, many of which are also found in the workplace.', 'It is a common misconception that carrots taste best when temperatures dip below freezing.', 'We know that either committees are sub-units of municipal governing bodies or humans can be part of the sanitation control factor by removing food, water, and shelter.', 'The claim that committees are sub-units of municipal governing bodies is false.']
|
Once we know water spinach is an herbaceous aquatic or semi-aquatic perennial plant of the tropics or subtropics, we also know that a projection is anticipation. Either one or both of these statements are true: most feet have nails, or if a projection is anticipation, then particles thrown out by the rapidly rotating core can heat the surrounding region, making it glow. The claim that most feet have nails is false. Once we know humans can be part of the sanitation control factor by removing food, water, and shelter, we also know that if particles thrown out by the rapidly rotating core can heat the surrounding region, making it glow, then tobacco smoke contains hundreds of toxic substances, many of which are also found in the workplace. It is rational to believe that either carrots taste best when temperatures dip below freezing or it is not the case that tobacco smoke contains hundreds of toxic substances, many of which are also found in the workplace. It is a common misconception that carrots taste best when temperatures dip below freezing. We know that either committees are sub-units of municipal governing bodies or humans can be part of the sanitation control factor by removing food, water, and shelter. The claim that committees are sub-units of municipal governing bodies is false.
|
The statement, water spinach is an herbaceous aquatic or semi-aquatic perennial plant of the tropics or subtropics, does not hold.
|
Those that suggest water spinach is an herbaceous aquatic or semi-aquatic perennial plant of the tropics or subtropics are right.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then [1].).
Not [6].
Therefore, If [2], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [1], then [3].).
[5] [SC2-3]
Therefore, If [1], then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or [5].
Not [7].
Therefore, [5].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4].
Therefore, Not [3]..
|
{0: 'Water spinach is an herbaceous aquatic or semi-aquatic perennial plant of the tropics or subtropics.', 1: 'Particles thrown out by the rapidly rotating core can heat the surrounding region, making it glow.', 2: 'A projection is anticipation.', 3: 'Tobacco smoke contains hundreds of toxic substances, many of which are also found in the workplace.', 4: 'Carrots taste best when temperatures dip below freezing.', 5: 'Humans can be part of the sanitation control factor by removing food, water, and shelter.', 6: 'Most feet have nails.', 7: 'Committees are sub-units of municipal governing bodies.'}
| 7 |
6,242 |
['Provided that the claim that lithospheric plates move away from the spreading center at divergent boundaries does not reflect reality, we know that bright pink flowers attract insects.', 'One may reasonably assume that if bright pink flowers attract insects, then the claim that rays have (part) brains is false.', 'Assuming the claim that if the claim that if bright pink flowers attract insects, then rays have (part) brains does not correspond with reality, then some nuclear weapons require nuclear fission reaction does not correspond with reality, we know that if all animals have to react to changes in their environment if they are to survive, then angiosperms a. have naked seeds.', 'On the condition that either logic is to be understood as the ordered relationship of particulars in each subject or most excite atoms emit electromagnetic radiation, it is definitely the case that we know that the claim that some nuclear weapons require nuclear fission reaction is false.', 'Should it be the case that pear psylla is active laying eggs, it follows that we know that the claim that some nuclear weapons require nuclear fission reaction is false.', 'It is rational to believe that either some animals serve as pests or if the claim that if the claim that if bright pink flowers attract insects, then rays have (part) brains does not correspond with reality, then some nuclear weapons require nuclear fission reaction does not correspond with reality, then the claim that if all animals have to react to changes in their environment if they are to survive, then angiosperms a. have naked seeds does not correspond with reality.', 'The claim that some animals serve as pests does not reflect reality.', "When the notion that 'either either logic is to be understood as the ordered relationship of particulars in each subject or most excite atoms emit electromagnetic radiation or pear psylla is active laying eggs' is untrue is true, it follows that annaw soils are calcareous throughout.", 'The statement, annaw soils are calcareous throughout, does not hold.']
|
Provided that the claim that lithospheric plates move away from the spreading center at divergent boundaries does not reflect reality, we know that bright pink flowers attract insects. One may reasonably assume that if bright pink flowers attract insects, then the claim that rays have (part) brains is false. Assuming the claim that if the claim that if bright pink flowers attract insects, then rays have (part) brains does not correspond with reality, then some nuclear weapons require nuclear fission reaction does not correspond with reality, we know that if all animals have to react to changes in their environment if they are to survive, then angiosperms a. have naked seeds. On the condition that either logic is to be understood as the ordered relationship of particulars in each subject or most excite atoms emit electromagnetic radiation, it is definitely the case that we know that the claim that some nuclear weapons require nuclear fission reaction is false. Should it be the case that pear psylla is active laying eggs, it follows that we know that the claim that some nuclear weapons require nuclear fission reaction is false. It is rational to believe that either some animals serve as pests or if the claim that if the claim that if bright pink flowers attract insects, then rays have (part) brains does not correspond with reality, then some nuclear weapons require nuclear fission reaction does not correspond with reality, then the claim that if all animals have to react to changes in their environment if they are to survive, then angiosperms a. have naked seeds does not correspond with reality. The claim that some animals serve as pests does not reflect reality. When the notion that 'either either logic is to be understood as the ordered relationship of particulars in each subject or most excite atoms emit electromagnetic radiation or pear psylla is active laying eggs' is untrue is true, it follows that annaw soils are calcareous throughout. The statement, annaw soils are calcareous throughout, does not hold.
|
The statement 'lithospheric plates move away from the spreading center at divergent boundaries' is true.
|
Lithospheric plates move away from one another.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [2].).), then [3].).), then (If [7], then [8].).
If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not (If [7], then [8].).). [SC2-4]
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-4]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not (If [7], then [8].).).).
Not [10].
Therefore, If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not (If [7], then [8].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-4]
If (Either [4] or [5].), then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC1-4]
Modus Tonens:
If (Not (Either (Either [4] or [5].) or [6].).), then [9].
Not [9].
Therefore, Either (Either [4] or [5].) or [6]..
|
{0: 'Lithospheric plates move away from the spreading center at divergent boundaries.', 1: 'Bright pink flowers attract insects.', 2: 'Rays have (part) brains.', 3: 'Some nuclear weapons require nuclear fission reaction.', 4: 'Logic is to be understood as the ordered relationship of particulars in each subject.', 5: 'Most excite atoms emit electromagnetic radiation.', 6: 'Pear psylla is active laying eggs.', 7: 'All animals have to react to changes in their environment if they are to survive.', 8: 'Angiosperms a. have naked seeds.', 9: 'Annaw soils are calcareous throughout.', 10: 'Some animals serve as pests.'}
| 7 |
6,913 |
['Provided that it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, we know that buddhist monasteries serve social and educational functions, as well as their religious functions.', 'It is rational to believe that either investment analysis is a joint enterprise by the sponsoring and providing organizations or saskatoon lies in a region of the world that has very definite seasons.', 'Should it be the case that saskatoon lies in a region of the world that has very definite seasons, it follows that it is not the case that capacitance is directly proportional to the electrostatic force field between the plates.', "When we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false is true, it follows that the notion that 'dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters' is untrue.", 'Either one or both of these statements are true: mass art is, for most commentators, one of the defining features of the twentieth century, or if flea beetles eat tiny holes the size of birdshot in the leaves, then energy travels from the sun to the earth by means of electromagnetic waves.', 'Given that mass art is, for most commentators, one of the defining features of the twentieth century, it can be inferred that if investment analysis is a joint enterprise by the sponsoring and providing organizations, then it is not the case that capacitance is directly proportional to the electrostatic force field between the plates.', "On the condition that it is not true that if we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false, then dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters, it is definitely the case that erosion involves rocks and soil being removed from the Earth's surface by wind or water.", "Given that it is not true that if we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false, then dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters, it can be inferred that the statement that states erosion involves rocks and soil being removed from the Earth's surface by wind or water is false.", 'Once we know some people mistakenly believe that if if flea beetles eat tiny holes the size of birdshot in the leaves, then energy travels from the sun to the earth by means of electromagnetic waves, then if investment analysis is a joint enterprise by the sponsoring and providing organizations, then it is not the case that capacitance is directly proportional to the electrostatic force field between the plates, we also know that either pesticides can make their way to lakes, rivers, and streams in two basic ways or democracy works only in societies where responsible people of integrity value people.', "The statement 'either pesticides can make their way to lakes, rivers, and streams in two basic ways or democracy works only in societies where responsible people of integrity value people' can be considered false."]
|
Provided that it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, we know that buddhist monasteries serve social and educational functions, as well as their religious functions. It is rational to believe that either investment analysis is a joint enterprise by the sponsoring and providing organizations or saskatoon lies in a region of the world that has very definite seasons. Should it be the case that saskatoon lies in a region of the world that has very definite seasons, it follows that it is not the case that capacitance is directly proportional to the electrostatic force field between the plates. When we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false is true, it follows that the notion that 'dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters' is untrue. Either one or both of these statements are true: mass art is, for most commentators, one of the defining features of the twentieth century, or if flea beetles eat tiny holes the size of birdshot in the leaves, then energy travels from the sun to the earth by means of electromagnetic waves. Given that mass art is, for most commentators, one of the defining features of the twentieth century, it can be inferred that if investment analysis is a joint enterprise by the sponsoring and providing organizations, then it is not the case that capacitance is directly proportional to the electrostatic force field between the plates. On the condition that it is not true that if we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false, then dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters, it is definitely the case that erosion involves rocks and soil being removed from the Earth's surface by wind or water. Given that it is not true that if we know that the claim that if it is a common misconception that if fish intelligence is hereditary and they can be bred to be easier to catch, then capacitance is directly proportional to the electrostatic force field between the plates, then the notion that 'buddhist monasteries serve social and educational functions, as well as their religious functions' is untrue is false, then dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters, it can be inferred that the statement that states erosion involves rocks and soil being removed from the Earth's surface by wind or water is false. Once we know some people mistakenly believe that if if flea beetles eat tiny holes the size of birdshot in the leaves, then energy travels from the sun to the earth by means of electromagnetic waves, then if investment analysis is a joint enterprise by the sponsoring and providing organizations, then it is not the case that capacitance is directly proportional to the electrostatic force field between the plates, we also know that either pesticides can make their way to lakes, rivers, and streams in two basic ways or democracy works only in societies where responsible people of integrity value people. The statement 'either pesticides can make their way to lakes, rivers, and streams in two basic ways or democracy works only in societies where responsible people of integrity value people' can be considered false.
|
It is not true that fish intelligence is hereditary and they can be bred to be easier to catch.
|
We can assume that fish intelligence is hereditary and they can be bred to be easier to catch.
|
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 [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [8]. [SC1-3]
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not [8].).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [8].).), then [9].
If (Not (If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [8].).), then (Not [9].).
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [8]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [1].). [SC2-2]
If [4], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [3], then (Not [1].).).
If (If [6], then [7].), then (If [3], then (Not [1].).). [SC3-3]
Therefore, If [3], then (Not [1].)..
[SC3-3]
Modus Tonens:
If (Not (If (If [6], then [7].), then (If [3], then (Not [1].).).).), then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, If (If [6], then [7].), then (If [3], then (Not [1].).)..
|
{0: 'Fish intelligence is hereditary and they can be bred to be easier to catch.', 1: 'Capacitance is directly proportional to the electrostatic force field between the plates.', 2: 'Buddhist monasteries serve social and educational functions, as well as their religious functions.', 3: 'Investment analysis is a joint enterprise by the sponsoring and providing organizations.', 4: 'Saskatoon lies in a region of the world that has very definite seasons.', 5: 'Mass art is, for most commentators, one of the defining features of the twentieth century.', 6: 'Flea beetles eat tiny holes the size of birdshot in the leaves.', 7: 'Energy travels from the sun to the earth by means of electromagnetic waves.', 8: 'Dugongs also inhabit the reef, feeding on the sea grasses that grow in the shallow inshore waters.', 9: "Erosion involves rocks and soil being removed from the Earth's surface by wind or water.", 10: 'Pesticides can make their way to lakes, rivers, and streams in two basic ways.', 11: 'Democracy works only in societies where responsible people of integrity value people.'}
| 7 |
6,170 |
['Those that suggest people die from ergot poisoning are wrong.', 'On the condition that cancerous changes can take place when mutation leads to failure of maturation of the lymphoid cells, it is definitely the case that people die from ergot poisoning.', 'Given that sustainability indicators are one way to show people the direction in which their society is moving, it can be inferred that synthetic rubber is manufactured from styrene and butadiene.', 'The statement that states medical terminology is useful for some jobs especially forensic, oncology and pathology work is false.', 'We know that at least one of two things is true: basketball is the sport deal plans to play at the collegiate level, or either medical terminology is useful for some jobs especially forensic, oncology and pathology work or either cancerous changes can take place when mutation leads to failure of maturation of the lymphoid cells or sustainability indicators are one way to show people the direction in which their society is moving.', "So long as the statement that states either if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands or those that suggest basketball is the sport deal plans to play at the collegiate level are wrong is false, 'forces act on objects and the forces can produce certain effects upon the object' is true.", 'When the statement that states either if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands or those that suggest basketball is the sport deal plans to play at the collegiate level are wrong is false is true, it follows that the statement, forces act on objects and the forces can produce certain effects upon the object, does not hold.', 'Provided that if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands, we know that black mangroves take over the intertidal zone and predominate area covered by high tides.', "Whenever it is true that if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands, 'we know that the claim that black mangroves take over the intertidal zone and predominate area covered by high tides is false' is true."]
|
Those that suggest people die from ergot poisoning are wrong. On the condition that cancerous changes can take place when mutation leads to failure of maturation of the lymphoid cells, it is definitely the case that people die from ergot poisoning. Given that sustainability indicators are one way to show people the direction in which their society is moving, it can be inferred that synthetic rubber is manufactured from styrene and butadiene. The statement that states medical terminology is useful for some jobs especially forensic, oncology and pathology work is false. We know that at least one of two things is true: basketball is the sport deal plans to play at the collegiate level, or either medical terminology is useful for some jobs especially forensic, oncology and pathology work or either cancerous changes can take place when mutation leads to failure of maturation of the lymphoid cells or sustainability indicators are one way to show people the direction in which their society is moving. So long as the statement that states either if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands or those that suggest basketball is the sport deal plans to play at the collegiate level are wrong is false, 'forces act on objects and the forces can produce certain effects upon the object' is true. When the statement that states either if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands or those that suggest basketball is the sport deal plans to play at the collegiate level are wrong is false is true, it follows that the statement, forces act on objects and the forces can produce certain effects upon the object, does not hold. Provided that if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands, we know that black mangroves take over the intertidal zone and predominate area covered by high tides. Whenever it is true that if adrenaline is central to controlling heart rate, blood pressure and blood flow, then some kidneys have adrenal glands, 'we know that the claim that black mangroves take over the intertidal zone and predominate area covered by high tides is false' is true.
|
The idea that synthetic rubber is manufactured from styrene and butadiene is true.
|
Synthetic rubber poses no hazard to latex-sensitive individuals.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [0].
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].). [SC1-3]
Not [4].
Therefore, Either [2] or [3]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (Either [4] or (Either [2] or [3].).).
Not [5]. [SC2-4]
Therefore, Either [4] or (Either [2] or [3].)..
[SC2-4]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Not [5].). [SC1-5]
Not (If [6], then [7].). [SC2-5]
Therefore, Not [5]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (Either (If [6], then [7].) or (Not [5].).).), then [8].
If (Not (Either (If [6], then [7].) or (Not [5].).).), then (Not [8].).
Therefore, Either (If [6], then [7].) or (Not [5].)..
[SC2-5]
Reductio Ad Absurdum:
If (If [6], then [7].), then [9].
If (If [6], then [7].), then (Not [9].).
Therefore, Not (If [6], then [7].)..
|
{0: 'Synthetic rubber is manufactured from styrene and butadiene.', 1: 'People die from ergot poisoning.', 2: 'Cancerous changes can take place when mutation leads to failure of maturation of the lymphoid cells.', 3: 'Sustainability indicators are one way to show people the direction in which their society is moving.', 4: 'Medical terminology is useful for some jobs especially forensic, oncology and pathology work.', 5: 'Basketball is the sport deal plans to play at the collegiate level.', 6: 'Adrenaline is central to controlling heart rate, blood pressure and blood flow.', 7: 'Some kidneys have adrenal glands.', 8: 'Forces act on objects and the forces can produce certain effects upon the object.', 9: 'Black mangroves take over the intertidal zone and predominate area covered by high tides.'}
| 7 |
6,187 |
['When either gyrfalcons range throughout the arctic regions of North America, Greenland, Europe and Asia or most fitness trainers work in facilities is true, it follows that specific receptors are sensitive to pain, temperature, chemicals, etc.', 'On the condition that specific receptors are sensitive to pain, temperature, chemicals, etc, it is definitely the case that if pregnancy is a normal, healthy physical condition that many women experience, then ozone leaves no unpleasant chemical taste or smell.', 'One may reasonably assume that if either technicians learn on jobs or amphibians also use smell and hearing to hunt prey, then either gyrfalcons range throughout the arctic regions of North America, Greenland, Europe and Asia or most fitness trainers work in facilities.', 'We know that either technicians learn on jobs or amphibians also use smell and hearing to hunt prey.', 'We know that either aeroplanes have (part) petrol gages or either doorstep isa device or if ozone leaves no unpleasant chemical taste or smell, then sheep vary greatly in size.', 'The statement, aeroplanes have (part) petrol gages, does not hold.', "Whenever it is true that doorstep isa device, 'countries have natural resources' is true.", "The statement that 'countries have natural resources' is incorrect."]
|
When either gyrfalcons range throughout the arctic regions of North America, Greenland, Europe and Asia or most fitness trainers work in facilities is true, it follows that specific receptors are sensitive to pain, temperature, chemicals, etc. On the condition that specific receptors are sensitive to pain, temperature, chemicals, etc, it is definitely the case that if pregnancy is a normal, healthy physical condition that many women experience, then ozone leaves no unpleasant chemical taste or smell. One may reasonably assume that if either technicians learn on jobs or amphibians also use smell and hearing to hunt prey, then either gyrfalcons range throughout the arctic regions of North America, Greenland, Europe and Asia or most fitness trainers work in facilities. We know that either technicians learn on jobs or amphibians also use smell and hearing to hunt prey. We know that either aeroplanes have (part) petrol gages or either doorstep isa device or if ozone leaves no unpleasant chemical taste or smell, then sheep vary greatly in size. The statement, aeroplanes have (part) petrol gages, does not hold. Whenever it is true that doorstep isa device, 'countries have natural resources' is true. The statement that 'countries have natural resources' is incorrect.
|
Once we know pregnancy is a normal, healthy physical condition that many women experience, we also know that sheep vary greatly in size.
|
Once we know pregnancy is a normal, healthy physical condition that many women experience, we also know that sheep vary greatly in size.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (Either [3] or [4].), then (If [0], then [2].). [SC1-2]
Either [3] or [4]. [SC2-2]
Therefore, If [0], then [2]..
[SC1-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then [9].
If [9], then (If [0], then [2].).
Therefore, If (Either [3] or [4].), then (If [0], then [2].)..
[SC2-2]
Modus Ponens:
If (Either [6] or [7].), then (Either [3] or [4].).
Either [6] or [7].
Therefore, Either [3] or [4]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then [1].). [SC1-2]
Not [5]. [SC2-2]
Therefore, If [2], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [10] or (Either [5] or (If [2], then [1].).).
Not [10].
Therefore, Either [5] or (If [2], then [1].)..
[SC2-2]
Modus Tonens:
If [5], then [8].
Not [8].
Therefore, Not [5]..
|
{0: 'Pregnancy is a normal, healthy physical condition that many women experience.', 1: 'Sheep vary greatly in size.', 2: 'Ozone leaves no unpleasant chemical taste or smell.', 3: 'Gyrfalcons range throughout the arctic regions of North America, Greenland, Europe and Asia.', 4: 'Most fitness trainers work in facilities.', 5: 'Doorstep isa device.', 6: 'Technicians learn on jobs.', 7: 'Amphibians also use smell and hearing to hunt prey.', 8: 'Countries have natural resources.', 9: 'Specific receptors are sensitive to pain, temperature, chemicals, etc.', 10: 'Aeroplanes have (part) petrol gages.'}
| 7 |
6,934 |
['Assuming the claim that music also provides a means for the aesthetic enrichment and growth of every child is false, we know that the statement, if weightlifters feel general health, then stress is by no means a universal factor in causing peptic ulcer disorders, does not hold.', "Once we know the statement that 'if the claim that music also provides a means for the aesthetic enrichment and growth of every child is false, then if weightlifters feel general health, then stress is by no means a universal factor in causing peptic ulcer disorders' is incorrect, we also know that either violence can occur anywhere - even in the workplace or an output device is a peripheral device.", 'One may reasonably assume that if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then the claim that if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world does not correspond with reality.', 'The claim that some explosions create gases is false.', 'Once we know most kinetic energy becomes heat energy, we also know that radiation oncology is a very comprehensive specialty that overlaps with many disciplines.', 'The statement that states radiation oncology is a very comprehensive specialty that overlaps with many disciplines is false.', 'There is good reason to believe that either tigers have (part) sections or kidney stones affect more men than women.', 'Should it be the case that tigers have (part) sections, it follows that either some explosions create gases or either most kinetic energy becomes heat energy or if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world.', 'Assuming kidney stones affect more men than women, we know that either some explosions create gases or either most kinetic energy becomes heat energy or if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world.']
|
Assuming the claim that music also provides a means for the aesthetic enrichment and growth of every child is false, we know that the statement, if weightlifters feel general health, then stress is by no means a universal factor in causing peptic ulcer disorders, does not hold. Once we know the statement that 'if the claim that music also provides a means for the aesthetic enrichment and growth of every child is false, then if weightlifters feel general health, then stress is by no means a universal factor in causing peptic ulcer disorders' is incorrect, we also know that either violence can occur anywhere - even in the workplace or an output device is a peripheral device. One may reasonably assume that if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then the claim that if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world does not correspond with reality. The claim that some explosions create gases is false. Once we know most kinetic energy becomes heat energy, we also know that radiation oncology is a very comprehensive specialty that overlaps with many disciplines. The statement that states radiation oncology is a very comprehensive specialty that overlaps with many disciplines is false. There is good reason to believe that either tigers have (part) sections or kidney stones affect more men than women. Should it be the case that tigers have (part) sections, it follows that either some explosions create gases or either most kinetic energy becomes heat energy or if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world. Assuming kidney stones affect more men than women, we know that either some explosions create gases or either most kinetic energy becomes heat energy or if either violence can occur anywhere - even in the workplace or an output device is a peripheral device, then if sockeye salmon tend to stratify in the lake during different times in the morning, then headwaters is the largest unprotected ancient redwood forest remaining in the world.
|
The claim that music also provides a means for the aesthetic enrichment and growth of every child is true.
|
The claim that music also provides a means for the aesthetic enrichment and growth of every child is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then (If [5], then [6].). [SC1-3]
If (Either [3] or [4].), then (Not (If [5], then [6].).).
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).). [SC1-4]
Not [7]. [SC2-4]
Therefore, If (Either [3] or [4].), then (If [5], then [6].)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).).). [SC1-5]
Not [8].
Therefore, Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).)..
[SC1-5]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either [8] or (Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).).).).
If [11], then (Either [8] or (Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).).).).
Therefore, Either [8] or (Either [7] or (If (Either [3] or [4].), then (If [5], then [6].).).)..
[SC2-4]
Modus Tonens:
If [7], then [9].
Not [9].
Therefore, Not [7]..
|
{0: 'Music also provides a means for the aesthetic enrichment and growth of every child.', 1: 'Weightlifters feel general health.', 2: 'Stress is by no means a universal factor in causing peptic ulcer disorders.', 3: 'Violence can occur anywhere - even in the workplace.', 4: 'An output device is a peripheral device.', 5: 'Sockeye salmon tend to stratify in the lake during different times in the morning.', 6: 'Headwaters is the largest unprotected ancient redwood forest remaining in the world.', 7: 'Most kinetic energy becomes heat energy.', 8: 'Some explosions create gases.', 9: 'Radiation oncology is a very comprehensive specialty that overlaps with many disciplines.', 10: 'Tigers have (part) sections.', 11: 'Kidney stones affect more men than women.'}
| 7 |
6,133 |
["So long as the claim that children become the outcome of reproductive decisions aimed at satisfying the desires of parents does not correspond with reality, 'algas find in deep water' is true.", 'It is rational to believe that either wills are matters of public record or pessimists have a more realistic view of life because everything ultimately comes to nothing.', "If if prenatal haloperidol reduces the number of active midbrain dopamine neurons in rat offspring, then minions are located in churchs, then if clothing stores are located in shopping malls, then the statement 'algas find in deep water' can be considered false.", 'On the condition that prenatal haloperidol reduces the number of active midbrain dopamine neurons in rat offspring, it is definitely the case that minions are located in churchs.', "Once we know it is not true that if antibodies recognize specific antigens, then the statement 'algas find in deep water' can be considered false, we also know that wild oats produce viable seeds.", "Should it be the case that it is not true that if antibodies recognize specific antigens, then the statement 'algas find in deep water' can be considered false, it follows that the claim that wild oats produce viable seeds is false.", 'It is rational to believe that either salvation is faith and obedience or if wills are matters of public record, then clothing stores are located in shopping malls.', 'The claim that salvation is faith and obedience has no merit.', 'Provided that we know that the claim that if pessimists have a more realistic view of life because everything ultimately comes to nothing, then antibodies recognize specific antigens is false, we know that prices are negotiable, based on quantity.', 'Given that we know that the claim that if pessimists have a more realistic view of life because everything ultimately comes to nothing, then antibodies recognize specific antigens is false, it can be inferred that the statement, prices are negotiable, based on quantity, does not hold.']
|
So long as the claim that children become the outcome of reproductive decisions aimed at satisfying the desires of parents does not correspond with reality, 'algas find in deep water' is true. It is rational to believe that either wills are matters of public record or pessimists have a more realistic view of life because everything ultimately comes to nothing. If if prenatal haloperidol reduces the number of active midbrain dopamine neurons in rat offspring, then minions are located in churchs, then if clothing stores are located in shopping malls, then the statement 'algas find in deep water' can be considered false. On the condition that prenatal haloperidol reduces the number of active midbrain dopamine neurons in rat offspring, it is definitely the case that minions are located in churchs. Once we know it is not true that if antibodies recognize specific antigens, then the statement 'algas find in deep water' can be considered false, we also know that wild oats produce viable seeds. Should it be the case that it is not true that if antibodies recognize specific antigens, then the statement 'algas find in deep water' can be considered false, it follows that the claim that wild oats produce viable seeds is false. It is rational to believe that either salvation is faith and obedience or if wills are matters of public record, then clothing stores are located in shopping malls. The claim that salvation is faith and obedience has no merit. Provided that we know that the claim that if pessimists have a more realistic view of life because everything ultimately comes to nothing, then antibodies recognize specific antigens is false, we know that prices are negotiable, based on quantity. Given that we know that the claim that if pessimists have a more realistic view of life because everything ultimately comes to nothing, then antibodies recognize specific antigens is false, it can be inferred that the statement, prices are negotiable, based on quantity, does not hold.
|
The claim that children become the outcome of reproductive decisions aimed at satisfying the desires of parents holds true.
|
Many children live in more than one family type during their childhood.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then [2]. [SC2-3]
If [7], then [3]. [SC3-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If [6], then [2].).
Not [10].
Therefore, If [6], then [2]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [7], then [3].).), then [9].
If (Not (If [7], then [3].).), then (Not [9].).
Therefore, If [7], then [3]..
[SC2-2]
Modus Ponens:
If (If [4], then [5].), then (If [2], then (Not [1].).).
If [4], then [5].
Therefore, If [2], then (Not [1].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [1].).).), then [8].
If (Not (If [3], then (Not [1].).).), then (Not [8].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Children become the outcome of reproductive decisions aimed at satisfying the desires of parents.', 1: 'Algas find in deep water.', 2: 'Clothing stores are located in shopping malls.', 3: 'Antibodies recognize specific antigens.', 4: 'Prenatal haloperidol reduces the number of active midbrain dopamine neurons in rat offspring.', 5: 'Minions are located in churchs.', 6: 'Wills are matters of public record.', 7: 'Pessimists have a more realistic view of life because everything ultimately comes to nothing.', 8: 'Wild oats produce viable seeds.', 9: 'Prices are negotiable, based on quantity.', 10: 'Salvation is faith and obedience.'}
| 7 |
6,301 |
['Assuming if folic acid is indicated in chronic hemolytic anemias due to increased requirements, then justice is essential to the human rights cause, we know that most women are able to undergo ductography.', 'Assuming most hormones stimulate kidneys, we know that either tarsiers can also walk on all fours or spiritual healing is a law-governed process.', 'At least one of two things is true: psoriasis is a chronic, recurrent disease of the skin, or if more water is transported from the lower atmosphere, then either most hormones stimulate kidneys or if if folic acid is indicated in chronic hemolytic anemias due to increased requirements, then justice is essential to the human rights cause, then it is not the case that most women are able to undergo ductography.', 'The statement, psoriasis is a chronic, recurrent disease of the skin, does not hold.', 'Should it be the case that it is a common misconception that more water is transported from the lower atmosphere, it follows that formal models are algebraic representations of conceptual models.', 'Some people mistakenly believe that formal models are algebraic representations of conceptual models.', 'On the condition that those that suggest if most hormones stimulate kidneys, then it is a common misconception that either tarsiers can also walk on all fours or spiritual healing is a law-governed process are wrong, it is definitely the case that pigeons have (part) sections.', 'The claim that pigeons have (part) sections is false.']
|
Assuming if folic acid is indicated in chronic hemolytic anemias due to increased requirements, then justice is essential to the human rights cause, we know that most women are able to undergo ductography. Assuming most hormones stimulate kidneys, we know that either tarsiers can also walk on all fours or spiritual healing is a law-governed process. At least one of two things is true: psoriasis is a chronic, recurrent disease of the skin, or if more water is transported from the lower atmosphere, then either most hormones stimulate kidneys or if if folic acid is indicated in chronic hemolytic anemias due to increased requirements, then justice is essential to the human rights cause, then it is not the case that most women are able to undergo ductography. The statement, psoriasis is a chronic, recurrent disease of the skin, does not hold. Should it be the case that it is a common misconception that more water is transported from the lower atmosphere, it follows that formal models are algebraic representations of conceptual models. Some people mistakenly believe that formal models are algebraic representations of conceptual models. On the condition that those that suggest if most hormones stimulate kidneys, then it is a common misconception that either tarsiers can also walk on all fours or spiritual healing is a law-governed process are wrong, it is definitely the case that pigeons have (part) sections. The claim that pigeons have (part) sections is false.
|
It is not true that if folic acid is indicated in chronic hemolytic anemias due to increased requirements, then justice is essential to the human rights cause.
|
The statement that states folic acid is crucial to prevent neural tube defects in the developing embryo is false.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2].
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (If [0], then [1].), then (Not [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [6], then (Either [3] or (If (If [0], then [1].), then (Not [2].).).). [SC1-3]
[6] [SC2-3]
Therefore, Either [3] or (If (If [0], then [1].), then (Not [2].).)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (Either [3] or (If (If [0], then [1].), then (Not [2].).).).).
Not [7].
Therefore, If [6], then (Either [3] or (If (If [0], then [1].), then (Not [2].).).)..
[SC2-3]
Modus Tonens:
If (Not [6].), then [9].
Not [9].
Therefore, [6].
[SC2-2]
Reductio Ad Absurdum:
If [3], then (Either [4] or [5].).
If [3], then (Not (Either [4] or [5].).). [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then (Not (Either [4] or [5].).).).), then [8].
Not [8].
Therefore, If [3], then (Not (Either [4] or [5].).)..
|
{0: 'Folic acid is indicated in chronic hemolytic anemias due to increased requirements.', 1: 'Justice is essential to the human rights cause.', 2: 'Most women are able to undergo ductography.', 3: 'Most hormones stimulate kidneys.', 4: 'Tarsiers can also walk on all fours.', 5: 'Spiritual healing is a law-governed process.', 6: 'More water is transported from the lower atmosphere.', 7: 'Psoriasis is a chronic, recurrent disease of the skin.', 8: 'Pigeons have (part) sections.', 9: 'Formal models are algebraic representations of conceptual models.'}
| 7 |
6,731 |
["The notion that 'turrets have (part) bases' is untrue.", "The statement that 'solar radiation has the greatest influence of all factors on soil temperature' is incorrect.", "It is not true that either wet weather produces conditions favorable for the increase of pathogens or stoicism is named after the mural-decorated porch, stoa poikele, which was found in Athens' Agora.", "One may reasonably assume that if oil spills cause short-term damage and marine creature kills, then either either wet weather produces conditions favorable for the increase of pathogens or stoicism is named after the mural-decorated porch, stoa poikele, which was found in Athens' Agora or if the statement that states if it is a common misconception that adult patients weigh kgs, then turrets have (part) bases is false, then solar radiation has the greatest influence of all factors on soil temperature.", 'On the condition that the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, it is definitely the case that we know that the claim that all tigers eat meat is false.', 'There is good reason to believe that either many rapists are married or have sex partners or many black holes acquire an envelope of gas and dust called an accretion disk.', 'One may reasonably assume that if many black holes acquire an envelope of gas and dust called an accretion disk, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat.', 'Provided that it is not true that if many rapists are married or have sex partners, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat, we know that art is the science of subtlety.', 'One may reasonably assume that if it is not true that if many rapists are married or have sex partners, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat, then those that suggest art is the science of subtlety are wrong.']
|
The notion that 'turrets have (part) bases' is untrue. The statement that 'solar radiation has the greatest influence of all factors on soil temperature' is incorrect. It is not true that either wet weather produces conditions favorable for the increase of pathogens or stoicism is named after the mural-decorated porch, stoa poikele, which was found in Athens' Agora. One may reasonably assume that if oil spills cause short-term damage and marine creature kills, then either either wet weather produces conditions favorable for the increase of pathogens or stoicism is named after the mural-decorated porch, stoa poikele, which was found in Athens' Agora or if the statement that states if it is a common misconception that adult patients weigh kgs, then turrets have (part) bases is false, then solar radiation has the greatest influence of all factors on soil temperature. On the condition that the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, it is definitely the case that we know that the claim that all tigers eat meat is false. There is good reason to believe that either many rapists are married or have sex partners or many black holes acquire an envelope of gas and dust called an accretion disk. One may reasonably assume that if many black holes acquire an envelope of gas and dust called an accretion disk, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat. Provided that it is not true that if many rapists are married or have sex partners, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat, we know that art is the science of subtlety. One may reasonably assume that if it is not true that if many rapists are married or have sex partners, then if the claim that oil spills cause short-term damage and marine creature kills does not correspond with reality, then all tigers eat meat, then those that suggest art is the science of subtlety are wrong.
|
We can assume that adult patients weigh kgs.
|
The notion that 'adult patients weigh kgs' is untrue.
|
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]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If (Not (If (Not [0].), then [1].).), then [2].). [SC1-3]
Not (Either [3] or [4].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Modus Ponens:
If [5], then (Either (Either [3] or [4].) or (If (Not (If (Not [0].), then [1].).), then [2].).).
[5] [SC2-4]
Therefore, Either (Either [3] or [4].) or (If (Not (If (Not [0].), then [1].).), then [2].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [5].), then [6]. [SC1-5]
If (Not [5].), then (Not [6].).
Therefore, [5].
[SC1-5]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not [5].), then [6].). [SC2-6]
If [8], then (If (Not [5].), then [6].).
Therefore, If (Not [5].), then [6]..
[SC2-6]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Not [5].), then [6].).).), then [9].
If (Not (If [7], then (If (Not [5].), then [6].).).), then (Not [9].).
Therefore, If [7], then (If (Not [5].), then [6].)..
|
{0: 'Adult patients weigh kgs.', 1: 'Turrets have (part) bases.', 2: 'Solar radiation has the greatest influence of all factors on soil temperature.', 3: 'Wet weather produces conditions favorable for the increase of pathogens.', 4: "Stoicism is named after the mural-decorated porch, stoa poikele, which was found in Athens' Agora.", 5: 'Oil spills cause short-term damage and marine creature kills.', 6: 'All tigers eat meat.', 7: 'Many rapists are married or have sex partners.', 8: 'Many black holes acquire an envelope of gas and dust called an accretion disk.', 9: 'Art is the science of subtlety.'}
| 7 |
6,670 |
['Either one or both of these statements are true: larch canker can kill both mature and immature trees, or either grandfathers have (part) body substances or religious holidays dictate the serving of special meals.', 'Either women are natural nurturers, nurturing families and communities or biological siblings tend to be more alike in intelligence than a child and an adopted sibling.', 'Given that conversions are events, it can be inferred that the claim that if water is located in saliva, then coupons is a leading online coupon source for consumers does not correspond with reality.', 'conversions are events.', 'When women are natural nurturers, nurturing families and communities is true, it follows that mysterious things happen late at night when most people are asleep.', 'One may reasonably assume that if most animals have energy, then if biological siblings tend to be more alike in intelligence than a child and an adopted sibling, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers.', 'most animals have energy.', 'It is a fact that either blues rocks are rock music or salt is used to the ancient rites to exorcise the devil.', 'Assuming blues rocks are rock music, we know that if mysterious things happen late at night when most people are asleep, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers.', 'On the condition that salt is used to the ancient rites to exorcise the devil, it is definitely the case that if mysterious things happen late at night when most people are asleep, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers.']
|
Either one or both of these statements are true: larch canker can kill both mature and immature trees, or either grandfathers have (part) body substances or religious holidays dictate the serving of special meals. Either women are natural nurturers, nurturing families and communities or biological siblings tend to be more alike in intelligence than a child and an adopted sibling. Given that conversions are events, it can be inferred that the claim that if water is located in saliva, then coupons is a leading online coupon source for consumers does not correspond with reality. conversions are events. When women are natural nurturers, nurturing families and communities is true, it follows that mysterious things happen late at night when most people are asleep. One may reasonably assume that if most animals have energy, then if biological siblings tend to be more alike in intelligence than a child and an adopted sibling, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers. most animals have energy. It is a fact that either blues rocks are rock music or salt is used to the ancient rites to exorcise the devil. Assuming blues rocks are rock music, we know that if mysterious things happen late at night when most people are asleep, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers. On the condition that salt is used to the ancient rites to exorcise the devil, it is definitely the case that if mysterious things happen late at night when most people are asleep, then if larch canker can kill both mature and immature trees, then if water is located in saliva, then coupons is a leading online coupon source for consumers.
|
Either one or both of these statements are true: grandfathers have (part) body substances, or religious holidays dictate the serving of special meals.
|
Either one or both of these statements are true: grandfathers find companies, or religious holidays dot the calendar.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].).
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Modus Tonens:
If [2], then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then (If [3], then [4].).). [SC2-3]
If [7], then (If [2], then (If [3], then [4].).). [SC3-3]
Therefore, If [2], then (If [3], then [4].)..
[SC2-3]
Hypothetical Syllogism:
If [6], then [8].
If [8], then (If [2], then (If [3], then [4].).). [SC2-4]
Therefore, If [6], then (If [2], then (If [3], then [4].).)..
[SC2-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [8], then (If [2], then (If [3], then [4].).).).
If [11], then (If [8], then (If [2], then (If [3], then [4].).).).
Therefore, If [8], then (If [2], then (If [3], then [4].).)..
[SC3-3]
Modus Ponens:
If [9], then (If [7], then (If [2], then (If [3], then [4].).).).
[9]
Therefore, If [7], then (If [2], then (If [3], then [4].).)..
[SC2-2]
Modus Ponens:
If [5], then (Not (If [3], then [4].).).
[5]
Therefore, Not (If [3], then [4].)..
|
{0: 'Grandfathers have (part) body substances.', 1: 'Religious holidays dictate the serving of special meals.', 2: 'Larch canker can kill both mature and immature trees.', 3: 'Water is located in saliva.', 4: 'Coupons is a leading online coupon source for consumers.', 5: 'Conversions are events.', 6: 'Women are natural nurturers, nurturing families and communities.', 7: 'Biological siblings tend to be more alike in intelligence than a child and an adopted sibling.', 8: 'Mysterious things happen late at night when most people are asleep.', 9: 'Most animals have energy.', 10: 'Blues rocks are rock music.', 11: 'Salt is used to the ancient rites to exorcise the devil.'}
| 7 |
6,318 |
['Assuming some echidnas have transmitters, we know that either rocks have a reputation for being solid, hard, and indestructible or every atom has electrons circulating the nucleus.', "Whenever it is true that it is not true that if every atom has electrons circulating the nucleus, then the statement that states gerbils have (part) ears is false, 'rice is brown' is true.", "The statement that 'rice is brown' is incorrect.", 'At least one of two things is true: if international usage forbids the display of the flag of one nation above that of another nation, then solar panels require continuous sunshine, unless the energy can be stored in batteries, or wild goldfishes are general rather drab in color.', 'Provided that if international usage forbids the display of the flag of one nation above that of another nation, then solar panels require continuous sunshine, unless the energy can be stored in batteries, we know that some echidnas have transmitters.', "Whenever it is true that wild goldfishes are general rather drab in color, 'some echidnas have transmitters' is true.", 'Provided that problems associated with overpopulation are really problems of poverty, we know that if rocks have a reputation for being solid, hard, and indestructible, then war is a continuation of policy by other means.', "The statement 'problems associated with overpopulation are really problems of poverty' can be considered true.", 'One may reasonably assume that if it is not true that if war is a continuation of policy by other means, then the statement that states gerbils have (part) ears is false, then true freedom is the willingness to look at both sides and then choose.', 'Provided that it is not true that if war is a continuation of policy by other means, then the statement that states gerbils have (part) ears is false, we know that the statement that states true freedom is the willingness to look at both sides and then choose is false.']
|
Assuming some echidnas have transmitters, we know that either rocks have a reputation for being solid, hard, and indestructible or every atom has electrons circulating the nucleus. Whenever it is true that it is not true that if every atom has electrons circulating the nucleus, then the statement that states gerbils have (part) ears is false, 'rice is brown' is true. The statement that 'rice is brown' is incorrect. At least one of two things is true: if international usage forbids the display of the flag of one nation above that of another nation, then solar panels require continuous sunshine, unless the energy can be stored in batteries, or wild goldfishes are general rather drab in color. Provided that if international usage forbids the display of the flag of one nation above that of another nation, then solar panels require continuous sunshine, unless the energy can be stored in batteries, we know that some echidnas have transmitters. Whenever it is true that wild goldfishes are general rather drab in color, 'some echidnas have transmitters' is true. Provided that problems associated with overpopulation are really problems of poverty, we know that if rocks have a reputation for being solid, hard, and indestructible, then war is a continuation of policy by other means. The statement 'problems associated with overpopulation are really problems of poverty' can be considered true. One may reasonably assume that if it is not true that if war is a continuation of policy by other means, then the statement that states gerbils have (part) ears is false, then true freedom is the willingness to look at both sides and then choose. Provided that it is not true that if war is a continuation of policy by other means, then the statement that states gerbils have (part) ears is false, we know that the statement that states true freedom is the willingness to look at both sides and then choose is false.
|
The statement that states gerbils have (part) ears is false.
|
The statement that states gerbils have (part) ears is false.
|
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 Ponens:
If [5], then (Either [1] or [2].).
[5] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then [5].
If [8], then [5].
Therefore, [5].
[SC2-1]
Hypothetical Syllogism:
If [1], then [4]. [SC1-2]
If [4], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [10], then (If [1], then [4].).
[10]
Therefore, If [1], then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [0].).).), then [9].
If (Not (If [4], then (Not [0].).).), then (Not [9].).
Therefore, If [4], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then [3].
Not [3].
Therefore, If [2], then (Not [0].)..
|
{0: 'Gerbils have (part) ears.', 1: 'Rocks have a reputation for being solid, hard, and indestructible.', 2: 'Every atom has electrons circulating the nucleus.', 3: 'Rice is brown.', 4: 'War is a continuation of policy by other means.', 5: 'Some echidnas have transmitters.', 6: 'International usage forbids the display of the flag of one nation above that of another nation.', 7: 'Solar panels require continuous sunshine, unless the energy can be stored in batteries.', 8: 'Wild goldfishes are general rather drab in color.', 9: 'True freedom is the willingness to look at both sides and then choose.', 10: 'Problems associated with overpopulation are really problems of poverty.'}
| 7 |
6,078 |
['The claim that statistics is an important tool in the pharmaceutical development process is false.', "Assuming the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, we know that poetry reading is located in bookstores.", 'We know that at least one of two things is true: some plants have heads, or snapdragons offer protection.', 'Should it be the case that some plants have heads, it follows that if mushrooms develop differently than plants or animals do, then the statement, poetry reading is located in bookstores, does not hold.', 'Given that snapdragons offer protection, it can be inferred that if mushrooms develop differently than plants or animals do, then the statement, poetry reading is located in bookstores, does not hold.', "We know that at least one of two things is true: weather means that sometimes it's cloudy, sometimes it rains, sometimes it snows, etc, or chemical reaction involves in energy.", "So long as weather means that sometimes it's cloudy, sometimes it rains, sometimes it snows, etc, 'if those that suggest if the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, then mushrooms develop differently than plants or animals do are wrong, then computer science involves hands-on problem solving with quick feed back' is true.", "Whenever it is true that chemical reaction involves in energy, 'if those that suggest if the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, then mushrooms develop differently than plants or animals do are wrong, then computer science involves hands-on problem solving with quick feed back' is true.", 'At least one of two things is true: constant mobility makes it hard for farmworker children to complete their education, or the claim that computer science involves hands-on problem solving with quick feed back is false.', 'The statement, constant mobility makes it hard for farmworker children to complete their education, does not hold.']
|
The claim that statistics is an important tool in the pharmaceutical development process is false. Assuming the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, we know that poetry reading is located in bookstores. We know that at least one of two things is true: some plants have heads, or snapdragons offer protection. Should it be the case that some plants have heads, it follows that if mushrooms develop differently than plants or animals do, then the statement, poetry reading is located in bookstores, does not hold. Given that snapdragons offer protection, it can be inferred that if mushrooms develop differently than plants or animals do, then the statement, poetry reading is located in bookstores, does not hold. We know that at least one of two things is true: weather means that sometimes it's cloudy, sometimes it rains, sometimes it snows, etc, or chemical reaction involves in energy. So long as weather means that sometimes it's cloudy, sometimes it rains, sometimes it snows, etc, 'if those that suggest if the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, then mushrooms develop differently than plants or animals do are wrong, then computer science involves hands-on problem solving with quick feed back' is true. Whenever it is true that chemical reaction involves in energy, 'if those that suggest if the statement that states if the statement 'crocodilians have a unique natural history that creates special challenges for their conservation' can be considered false, then statistics is an important tool in the pharmaceutical development process is false, then mushrooms develop differently than plants or animals do are wrong, then computer science involves hands-on problem solving with quick feed back' is true. At least one of two things is true: constant mobility makes it hard for farmworker children to complete their education, or the claim that computer science involves hands-on problem solving with quick feed back is false. The statement, constant mobility makes it hard for farmworker children to complete their education, does not hold.
|
Many people rightly believe that crocodilians have a unique natural history that creates special challenges for their conservation.
|
The notion that 'crocodilians have a unique natural history that creates special challenges for their conservation' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2].
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [3]. [SC1-3]
If [3], then (Not [2].). [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [6]. [SC1-4]
Not [6]. [SC2-4]
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [6].).
If [9], then (If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [6].).
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [6]..
[SC2-4]
Disjunctive Syllogism:
Either [7] or (Not [6].).
Not [7].
Therefore, Not [6]..
[SC2-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [3], then (Not [2].).).
If [5], then (If [3], then (Not [2].).).
Therefore, If [3], then (Not [2].)..
|
{0: 'Crocodilians have a unique natural history that creates special challenges for their conservation.', 1: 'Statistics is an important tool in the pharmaceutical development process.', 2: 'Poetry reading is located in bookstores.', 3: 'Mushrooms develop differently than plants or animals do.', 4: 'Some plants have heads.', 5: 'Snapdragons offer protection.', 6: 'Computer science involves hands-on problem solving with quick feed back.', 7: 'Constant mobility makes it hard for farmworker children to complete their education.', 8: "Weather means that sometimes it's cloudy, sometimes it rains, sometimes it snows, etc.", 9: 'Chemical reaction involves in energy.'}
| 7 |
6,521 |
['If mitochondria are also difficult to detect, then spiritual violence is most dangerous when it is most spiritual - that is least emotional.', 'Provided that treatments help secondary bacterial infection, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then blowhole is a lava tube which was formed beneath the ocean millions of years ago.', 'It is fair to say that treatments help secondary bacterial infection.', 'We know that at least one of two things is true: open circles represent conserved loop structures, or if corms are also food storage centers but are more scaly and solid, then myofibril isa filament.', 'Provided that open circles represent conserved loop structures, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then the statement that states blowhole is a lava tube which was formed beneath the ocean millions of years ago is false.', 'Assuming if corms are also food storage centers but are more scaly and solid, then myofibril isa filament, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then the statement that states blowhole is a lava tube which was formed beneath the ocean millions of years ago is false.', 'If either people today live longer and healthier lives than any generation in history or heavy infestations can also cause needles to become yellow or die, then patients to consume food.', 'Given that patients to consume food, it can be inferred that if numerous studies point to fruits and vegetables as anti-high blood pressure agents, then spiritual violence is most dangerous when it is most spiritual - that is least emotional.', 'At least one of two things is true: several studies show that aspirin makes no difference in maternal or fetal outcomes, or constipation is caused by diet, dehydration, habit, genetic predisposition etc.', 'Should it be the case that several studies show that aspirin makes no difference in maternal or fetal outcomes, it follows that people today live longer and healthier lives than any generation in history.', "So long as constipation is caused by diet, dehydration, habit, genetic predisposition etc, 'heavy infestations can also cause needles to become yellow or die' is true."]
|
If mitochondria are also difficult to detect, then spiritual violence is most dangerous when it is most spiritual - that is least emotional. Provided that treatments help secondary bacterial infection, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then blowhole is a lava tube which was formed beneath the ocean millions of years ago. It is fair to say that treatments help secondary bacterial infection. We know that at least one of two things is true: open circles represent conserved loop structures, or if corms are also food storage centers but are more scaly and solid, then myofibril isa filament. Provided that open circles represent conserved loop structures, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then the statement that states blowhole is a lava tube which was formed beneath the ocean millions of years ago is false. Assuming if corms are also food storage centers but are more scaly and solid, then myofibril isa filament, we know that if the claim that either numerous studies point to fruits and vegetables as anti-high blood pressure agents or mitochondria are also difficult to detect does not correspond with reality, then the statement that states blowhole is a lava tube which was formed beneath the ocean millions of years ago is false. If either people today live longer and healthier lives than any generation in history or heavy infestations can also cause needles to become yellow or die, then patients to consume food. Given that patients to consume food, it can be inferred that if numerous studies point to fruits and vegetables as anti-high blood pressure agents, then spiritual violence is most dangerous when it is most spiritual - that is least emotional. At least one of two things is true: several studies show that aspirin makes no difference in maternal or fetal outcomes, or constipation is caused by diet, dehydration, habit, genetic predisposition etc. Should it be the case that several studies show that aspirin makes no difference in maternal or fetal outcomes, it follows that people today live longer and healthier lives than any generation in history. So long as constipation is caused by diet, dehydration, habit, genetic predisposition etc, 'heavy infestations can also cause needles to become yellow or die' is true.
|
The statement 'spiritual violence is most dangerous when it is most spiritual - that is least emotional' can be considered true.
|
The notion that 'spiritual violence is most dangerous when it is most spiritual - that is least emotional' is untrue.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [5]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [5].). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (Either [1] or [2].).), then [5].).
[6]
Therefore, If (Not (Either [1] or [2].).), then [5]..
[SC2-2]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (If (Not (Either [1] or [2].).), then (Not [5].).).
If (If [8], then [9].), then (If (Not (Either [1] or [2].).), then (Not [5].).).
Therefore, If (Not (Either [1] or [2].).), then (Not [5].)..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (If [1], then [0].). [SC1-2]
Either [3] or [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then [12].
If [12], then (If [1], then [0].).
Therefore, If (Either [3] or [4].), then (If [1], then [0].)..
[SC2-2]
Constructive Dilemma:
Either [10] or [11].
If [10], then [3].
If [11], then [4].
Therefore, Either [3] or [4]..
|
{0: 'Spiritual violence is most dangerous when it is most spiritual - that is least emotional.', 1: 'Numerous studies point to fruits and vegetables as anti-high blood pressure agents.', 2: 'Mitochondria are also difficult to detect.', 3: 'People today live longer and healthier lives than any generation in history.', 4: 'Heavy infestations can also cause needles to become yellow or die.', 5: 'Blowhole is a lava tube which was formed beneath the ocean millions of years ago.', 6: 'Treatments help secondary bacterial infection.', 7: 'Open circles represent conserved loop structures.', 8: 'Corms are also food storage centers but are more scaly and solid.', 9: 'Myofibril isa filament.', 10: 'Several studies show that aspirin makes no difference in maternal or fetal outcomes.', 11: 'Constipation is caused by diet, dehydration, habit, genetic predisposition etc.', 12: 'Patients to consume food.'}
| 7 |
6,346 |
["If mental health enhances people's ability to participate in community life, then tsunamis bring death.", "If the notion that 'either many organisms seem to be restricted to water within some range of hardness or mental health enhances people's ability to participate in community life' is untrue, then the statement that 'either diabetes can lead to blindness, kidney disease, heart disease or amputations, and it can be fatal or students bring different approaches' is incorrect.", 'Given that many organisms seem to be restricted to water within some range of hardness, it can be inferred that hemorrhagic strokes occur when blood vessels break in the brain.', "It is a fact that either chromosomes arrive at the spindle pores or if the notion that 'either many organisms seem to be restricted to water within some range of hardness or mental health enhances people's ability to participate in community life' is untrue, then either diabetes can lead to blindness, kidney disease, heart disease or amputations, and it can be fatal or students bring different approaches.", "The statement 'chromosomes arrive at the spindle pores' can be considered false.", "So long as loss of control continues to be the most common type of fatal general aviation accident, 'if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death' is true.", 'Given that those that suggest either gigs are small boats or loss of control continues to be the most common type of fatal general aviation accident are wrong, it can be inferred that if some scientists use lasers, then passive smoking causes heart disease and lung cancer.', "Whenever it is true that those that suggest either gigs are small boats or loss of control continues to be the most common type of fatal general aviation accident are wrong, 'the statement 'if some scientists use lasers, then passive smoking causes heart disease and lung cancer' can be considered false' is true.", 'Provided that it is not the case that if gigs are small boats, then if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death, we know that chlorophyll is chlorophyll.', 'Once we know it is not the case that if gigs are small boats, then if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death, we also know that the statement that states chlorophyll is chlorophyll is false.']
|
If mental health enhances people's ability to participate in community life, then tsunamis bring death. If the notion that 'either many organisms seem to be restricted to water within some range of hardness or mental health enhances people's ability to participate in community life' is untrue, then the statement that 'either diabetes can lead to blindness, kidney disease, heart disease or amputations, and it can be fatal or students bring different approaches' is incorrect. Given that many organisms seem to be restricted to water within some range of hardness, it can be inferred that hemorrhagic strokes occur when blood vessels break in the brain. It is a fact that either chromosomes arrive at the spindle pores or if the notion that 'either many organisms seem to be restricted to water within some range of hardness or mental health enhances people's ability to participate in community life' is untrue, then either diabetes can lead to blindness, kidney disease, heart disease or amputations, and it can be fatal or students bring different approaches. The statement 'chromosomes arrive at the spindle pores' can be considered false. So long as loss of control continues to be the most common type of fatal general aviation accident, 'if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death' is true. Given that those that suggest either gigs are small boats or loss of control continues to be the most common type of fatal general aviation accident are wrong, it can be inferred that if some scientists use lasers, then passive smoking causes heart disease and lung cancer. Whenever it is true that those that suggest either gigs are small boats or loss of control continues to be the most common type of fatal general aviation accident are wrong, 'the statement 'if some scientists use lasers, then passive smoking causes heart disease and lung cancer' can be considered false' is true. Provided that it is not the case that if gigs are small boats, then if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death, we know that chlorophyll is chlorophyll. Once we know it is not the case that if gigs are small boats, then if hemorrhagic strokes occur when blood vessels break in the brain, then tsunamis bring death, we also know that the statement that states chlorophyll is chlorophyll is false.
|
tsunamis bring death.
|
Tsunamis bring death.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (Either [4] or [5].). [SC1-2]
If (Not (Either [1] or [2].).), then (Not (Either [4] or [5].).).
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [1] or [2].).), then (Either [4] or [5].).).
Not [8].
Therefore, If (Not (Either [1] or [2].).), then (Either [4] or [5].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If [3], then [0].). [SC2-3]
If [7], then (If [3], then [0].).
Therefore, If [3], then [0]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or [7].).), then (If [9], then [10].).
If (Not (Either [6] or [7].).), then (Not (If [9], then [10].).).
Therefore, Either [6] or [7]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If [3], then [0].).).), then [11].
If (Not (If [6], then (If [3], then [0].).).), then (Not [11].).
Therefore, If [6], then (If [3], then [0].)..
|
{0: 'Tsunamis bring death.', 1: 'Many organisms seem to be restricted to water within some range of hardness.', 2: "Mental health enhances people's ability to participate in community life.", 3: 'Hemorrhagic strokes occur when blood vessels break in the brain.', 4: 'Diabetes can lead to blindness, kidney disease, heart disease or amputations, and it can be fatal.', 5: 'Students bring different approaches.', 6: 'Gigs are small boats.', 7: 'Loss of control continues to be the most common type of fatal general aviation accident.', 8: 'Chromosomes arrive at the spindle pores.', 9: 'Some scientists use lasers.', 10: 'Passive smoking causes heart disease and lung cancer.', 11: 'Chlorophyll is chlorophyll.'}
| 7 |
6,198 |
['Should it be the case that the statement, most human characteristics are polygenic, which means they are controlled by many genes , does not hold, it follows that animals are found in different habitats.', 'If researchers use powerful microscopes, then ostracism is an old, sometimes brutal instrument of tribal discipline.', 'On the condition that parasites are organisms that prey on a living host, it is definitely the case that if companion Plants Put the plants together as they grow in the wild, then either researchers use powerful microscopes or if the statement, most human characteristics are polygenic, which means they are controlled by many genes , does not hold, then it is not true that animals are found in different habitats.', 'Many people rightly believe that parasites are organisms that prey on a living host.', 'Once we know it is not the case that companion Plants Put the plants together as they grow in the wild, we also know that cilia lining the edges of the gill slits pump water through the branchial basket.', 'It is a common misconception that cilia lining the edges of the gill slits pump water through the branchial basket.', "Either one or both of these statements are true: laws limit behavior that interferes with the safety, freedom, and property of others, or if researchers use powerful microscopes, then the statement that 'ostracism is an old, sometimes brutal instrument of tribal discipline' is incorrect.", 'The statement that states laws limit behavior that interferes with the safety, freedom, and property of others is false.']
|
Should it be the case that the statement, most human characteristics are polygenic, which means they are controlled by many genes , does not hold, it follows that animals are found in different habitats. If researchers use powerful microscopes, then ostracism is an old, sometimes brutal instrument of tribal discipline. On the condition that parasites are organisms that prey on a living host, it is definitely the case that if companion Plants Put the plants together as they grow in the wild, then either researchers use powerful microscopes or if the statement, most human characteristics are polygenic, which means they are controlled by many genes , does not hold, then it is not true that animals are found in different habitats. Many people rightly believe that parasites are organisms that prey on a living host. Once we know it is not the case that companion Plants Put the plants together as they grow in the wild, we also know that cilia lining the edges of the gill slits pump water through the branchial basket. It is a common misconception that cilia lining the edges of the gill slits pump water through the branchial basket. Either one or both of these statements are true: laws limit behavior that interferes with the safety, freedom, and property of others, or if researchers use powerful microscopes, then the statement that 'ostracism is an old, sometimes brutal instrument of tribal discipline' is incorrect. The statement that states laws limit behavior that interferes with the safety, freedom, and property of others is false.
|
It is the case that most human characteristics are polygenic, which means they are controlled by many genes .
|
It is the case that most human characteristics are polygenic, which means they are controlled by many genes .
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).). [SC1-3]
[3] [SC2-3]
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Ponens:
If [6], then (If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).).).
[6]
Therefore, If [3], then (Either [2] or (If (Not [0].), then (Not [1].).).)..
[SC2-3]
Modus Tonens:
If (Not [3].), then [5].
Not [5].
Therefore, [3].
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [2], then (Not [4].).).
Not [7].
Therefore, If [2], then (Not [4].)..
|
{0: 'Most human characteristics are polygenic, which means they are controlled by many genes .', 1: 'Animals are found in different habitats.', 2: 'Researchers use powerful microscopes.', 3: 'Companion Plants Put the plants together as they grow in the wild.', 4: 'Ostracism is an old, sometimes brutal instrument of tribal discipline.', 5: 'Cilia lining the edges of the gill slits pump water through the branchial basket.', 6: 'Parasites are organisms that prey on a living host.', 7: 'Laws limit behavior that interferes with the safety, freedom, and property of others.'}
| 7 |
6,865 |
['Given that the claim that either citrine encourages the yellow ray to support the body or infected fruits show irregular, swollen, colored areas on their surfaces has no merit, it can be inferred that constitutions are economic documents as well as political documents.', 'When the claim that either citrine encourages the yellow ray to support the body or infected fruits show irregular, swollen, colored areas on their surfaces has no merit is true, it follows that witches have (part) cytoplasm.', 'Should it be the case that witches have (part) cytoplasm, it follows that the statement, constitutions are economic documents as well as political documents, does not hold.', 'If reproduction allows organisms to continue living on the earth, then if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer.', 'On the condition that humanitarianism is as old as humanity itself, it is definitely the case that reproduction allows organisms to continue living on the earth.', "The statement 'humanitarianism is as old as humanity itself' can be considered true.", 'We know that either cults rob a person of their own creativity and individuality or antique furniture is the most common form of collectors item.', 'One may reasonably assume that if cults rob a person of their own creativity and individuality, then if if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer, then the claim that citrine encourages the yellow ray to support the body has no merit.', 'Given that antique furniture is the most common form of collectors item, it can be inferred that if if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer, then the claim that citrine encourages the yellow ray to support the body has no merit.']
|
Given that the claim that either citrine encourages the yellow ray to support the body or infected fruits show irregular, swollen, colored areas on their surfaces has no merit, it can be inferred that constitutions are economic documents as well as political documents. When the claim that either citrine encourages the yellow ray to support the body or infected fruits show irregular, swollen, colored areas on their surfaces has no merit is true, it follows that witches have (part) cytoplasm. Should it be the case that witches have (part) cytoplasm, it follows that the statement, constitutions are economic documents as well as political documents, does not hold. If reproduction allows organisms to continue living on the earth, then if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer. On the condition that humanitarianism is as old as humanity itself, it is definitely the case that reproduction allows organisms to continue living on the earth. The statement 'humanitarianism is as old as humanity itself' can be considered true. We know that either cults rob a person of their own creativity and individuality or antique furniture is the most common form of collectors item. One may reasonably assume that if cults rob a person of their own creativity and individuality, then if if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer, then the claim that citrine encourages the yellow ray to support the body has no merit. Given that antique furniture is the most common form of collectors item, it can be inferred that if if some animals give birth to predators, then spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer, then the claim that citrine encourages the yellow ray to support the body has no merit.
|
We can assume that infected fruits show irregular, swollen, colored areas on their surfaces.
|
Infected fruits decay rapidly, becoming soft and watery.
|
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 [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 [7].
If [7], then (Not [3].).
Therefore, If (Not (Either [1] or [0].).), then (Not [3].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [2], then (If [5], then [6].).
If (If [5], then [6].), then (Not [1].). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (If [5], then [6].), then (Not [1].).).
If [9], then (If (If [5], then [6].), then (Not [1].).).
Therefore, If (If [5], then [6].), then (Not [1].)..
[SC2-2]
Modus Ponens:
If [4], then [2].
[4]
Therefore, [2].
|
{0: 'Infected fruits show irregular, swollen, colored areas on their surfaces.', 1: 'Citrine encourages the yellow ray to support the body.', 2: 'Reproduction allows organisms to continue living on the earth.', 3: 'Constitutions are economic documents as well as political documents.', 4: 'Humanitarianism is as old as humanity itself.', 5: 'Some animals give birth to predators.', 6: 'Spaying females eliminates the risk of developing mammary tumors, as well as uterine cancer.', 7: 'Witches have (part) cytoplasm.', 8: 'Cults rob a person of their own creativity and individuality.', 9: 'Antique furniture is the most common form of collectors item.'}
| 7 |
6,548 |
["Whenever it is true that pigeons have (part) breasts, 'if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is true.", 'One may reasonably assume that if positive feedback can help businesses build trust in a medium that is essentially anonymous, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then the statement that states governments hold international reserves mostly in dollars is false.', "So long as the claim that either blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios or pigeons have (part) breasts has no merit, 'ultraviolet energy is radiation produced by low pressure mercury lamps' is true.", 'The statement that states ultraviolet energy is radiation produced by low pressure mercury lamps is false.', 'There is good reason to believe that either if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light or technicians assist patients.', 'Once we know technicians assist patients, we also know that if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars.', 'Given that some plants produce effects, it can be inferred that positive feedback can help businesses build trust in a medium that is essentially anonymous.', 'some plants produce effects.', "Once we know the notion that 'if if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light, then if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is untrue, we also know that caches are storage space.", "Should it be the case that the notion that 'if if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light, then if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is untrue, it follows that it is not true that caches are storage space."]
|
Whenever it is true that pigeons have (part) breasts, 'if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is true. One may reasonably assume that if positive feedback can help businesses build trust in a medium that is essentially anonymous, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then the statement that states governments hold international reserves mostly in dollars is false. So long as the claim that either blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios or pigeons have (part) breasts has no merit, 'ultraviolet energy is radiation produced by low pressure mercury lamps' is true. The statement that states ultraviolet energy is radiation produced by low pressure mercury lamps is false. There is good reason to believe that either if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light or technicians assist patients. Once we know technicians assist patients, we also know that if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars. Given that some plants produce effects, it can be inferred that positive feedback can help businesses build trust in a medium that is essentially anonymous. some plants produce effects. Once we know the notion that 'if if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light, then if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is untrue, we also know that caches are storage space. Should it be the case that the notion that 'if if salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres, then coherence is therefore an interferometric property of light, then if blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios, then if if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories, then governments hold international reserves mostly in dollars' is untrue, it follows that it is not true that caches are storage space.
|
The statement that states if electromagnetic waves result when a charged object is accelerated or decelerated, then capuchins are famous for their mischievous ways, intelligence and good memories is false.
|
The statement 'electromagnetic waves are a major means of moving energy around the universe' can be considered false.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (If [0], then [1].), then [2].). [SC2-2]
If [4], then (If (If [0], then [1].), then [2].).
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [10].
Not [10].
Therefore, Either [3] or [4]..
[SC2-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If [3], then (If (If [0], then [1].), then [2].).). [SC2-3]
If [9], then (If [3], then (If (If [0], then [1].), then [2].).).
Therefore, If [3], then (If (If [0], then [1].), then [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [7], then [8].), then (If [3], then (If (If [0], then [1].), then [2].).).).), then [11].
If (Not (If (If [7], then [8].), then (If [3], then (If (If [0], then [1].), then [2].).).).), then (Not [11].).
Therefore, If (If [7], then [8].), then (If [3], then (If (If [0], then [1].), then [2].).)..
[SC2-1]
Modus Ponens:
If [5], then (If (If [0], then [1].), then (Not [2].).).
[5] [SC2-2]
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [6], then [5].
[6]
Therefore, [5].
|
{0: 'Electromagnetic waves result when a charged object is accelerated or decelerated.', 1: 'Capuchins are famous for their mischievous ways, intelligence and good memories.', 2: 'Governments hold international reserves mostly in dollars.', 3: 'Blood flow is increased to vital organs, or organs that have higher oxygen extraction ratios.', 4: 'Pigeons have (part) breasts.', 5: 'Positive feedback can help businesses build trust in a medium that is essentially anonymous.', 6: 'Some plants produce effects.', 7: 'Salt crystals are in cubic form and are referred to as cubic packing of almost equal spheres.', 8: 'Coherence is therefore an interferometric property of light.', 9: 'Technicians assist patients.', 10: 'Ultraviolet energy is radiation produced by low pressure mercury lamps.', 11: 'Caches are storage space.'}
| 7 |
6,915 |
['If either most climates limit distribution or volatility shows the investor the range that a stocks price has fluctuated in a certain period, then either teachers must have communication skills or stars look bright because emit light from the nuclear fusion happening in their cores.', 'Should it be the case that kingfishers predominantly feed on numerous items, it follows that an ibis is a wader.', 'When either javan rhinos eat plants or salads are large and made of a variety of greens is true, it follows that if either teachers must have communication skills or stars look bright because emit light from the nuclear fusion happening in their cores, then if sexuality is a very complex issue, encompassing physical, emotional, and psychological factors, then duration of mating is dependent on the size of the prey gift.', 'Assuming an ibis is a wader, we know that time is the major variable when making colloidal silver.', 'Assuming time is the major variable when making colloidal silver, we know that if sexuality is a very complex issue, encompassing physical, emotional, and psychological factors, then duration of mating is dependent on the size of the prey gift.', 'Assuming agencies represent government, we know that either either most climates limit distribution or volatility shows the investor the range that a stocks price has fluctuated in a certain period or kingfishers predominantly feed on numerous items.', 'It is true that agencies represent government.', 'When soil testing is a good way to assess the nutrient status of the soil is true, it follows that either javan rhinos eat plants or salads are large and made of a variety of greens.', "We know that at least one of two things is true: individuation means different things to different people depending on their life' s demands, or town halls are government buildings.", "Should it be the case that individuation means different things to different people depending on their life' s demands, it follows that soil testing is a good way to assess the nutrient status of the soil.", "So long as town halls are government buildings, 'soil testing is a good way to assess the nutrient status of the soil' is true."]
|
If either most climates limit distribution or volatility shows the investor the range that a stocks price has fluctuated in a certain period, then either teachers must have communication skills or stars look bright because emit light from the nuclear fusion happening in their cores. Should it be the case that kingfishers predominantly feed on numerous items, it follows that an ibis is a wader. When either javan rhinos eat plants or salads are large and made of a variety of greens is true, it follows that if either teachers must have communication skills or stars look bright because emit light from the nuclear fusion happening in their cores, then if sexuality is a very complex issue, encompassing physical, emotional, and psychological factors, then duration of mating is dependent on the size of the prey gift. Assuming an ibis is a wader, we know that time is the major variable when making colloidal silver. Assuming time is the major variable when making colloidal silver, we know that if sexuality is a very complex issue, encompassing physical, emotional, and psychological factors, then duration of mating is dependent on the size of the prey gift. Assuming agencies represent government, we know that either either most climates limit distribution or volatility shows the investor the range that a stocks price has fluctuated in a certain period or kingfishers predominantly feed on numerous items. It is true that agencies represent government. When soil testing is a good way to assess the nutrient status of the soil is true, it follows that either javan rhinos eat plants or salads are large and made of a variety of greens. We know that at least one of two things is true: individuation means different things to different people depending on their life' s demands, or town halls are government buildings. Should it be the case that individuation means different things to different people depending on their life' s demands, it follows that soil testing is a good way to assess the nutrient status of the soil. So long as town halls are government buildings, 'soil testing is a good way to assess the nutrient status of the soil' is true.
|
On the condition that sexuality is a very complex issue, encompassing physical, emotional, and psychological factors, it is definitely the case that duration of mating is dependent on the size of the prey gift.
|
Whenever it is true that sexuality is an important part of being human and is discussed openly, 'duration of mating is dependent on the size of the prey gift' is true.
|
Uncertain
|
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-1]
If (Either [2] or [3].), then (If [0], then [1].). [SC2-1]
If [4], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Constructive Dilemma:
Either (Either [8] or [9].) or [10]. [SC1-2]
If (Either [8] or [9].), then (Either [2] or [3].).
If [10], then [4].
Therefore, Either (Either [2] or [3].) or [4]..
[SC1-2]
Modus Ponens:
If [12], then (Either (Either [8] or [9].) or [10].).
[12]
Therefore, Either (Either [8] or [9].) or [10]..
[SC2-1]
Modus Ponens:
If (Either [6] or [7].), then (If (Either [2] or [3].), then (If [0], then [1].).).
Either [6] or [7]. [SC2-2]
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [11], then (Either [6] or [7].).
[11] [SC2-3]
Therefore, Either [6] or [7]..
[SC2-3]
Disjunction Elimination:
Either [13] or [14].
If [13], then [11].
If [14], then [11].
Therefore, [11].
[SC3-1]
Hypothetical Syllogism:
If [4], then [5].
If [5], then (If [0], then [1].).
Therefore, If [4], then (If [0], then [1].)..
|
{0: 'Sexuality is a very complex issue, encompassing physical, emotional, and psychological factors.', 1: 'Duration of mating is dependent on the size of the prey gift.', 2: 'Teachers must have communication skills.', 3: 'Stars look bright because emit light from the nuclear fusion happening in their cores.', 4: 'An ibis is a wader.', 5: 'Time is the major variable when making colloidal silver.', 6: 'Javan rhinos eat plants.', 7: 'Salads are large and made of a variety of greens.', 8: 'Most climates limit distribution.', 9: 'Volatility shows the investor the range that a stocks price has fluctuated in a certain period.', 10: 'Kingfishers predominantly feed on numerous items.', 11: 'Soil testing is a good way to assess the nutrient status of the soil.', 12: 'Agencies represent government.', 13: "Individuation means different things to different people depending on their life' s demands.", 14: 'Town halls are government buildings.'}
| 7 |
6,588 |
["If the statement that 'nutria prefer to burrow on steep slopes covered with vegetation' is incorrect, then killer whales stalk prey.", 'When killer whales stalk prey is true, it follows that some plants grow at elevate concentration.', "So long as coots have whitish bills, 'if the statement that 'nutria prefer to burrow on steep slopes covered with vegetation' is incorrect, then companies have chances' is true.", 'Once we know companies have chances, we also know that child care is a major issue in the United States and other countries.', "Whenever it is true that child care is a major issue in the United States and other countries, 'the statement, some plants grow at elevate concentration, does not hold' is true.", "Whenever it is true that the claim that coots have whitish bills does not reflect reality, 'the statement that states all development is governed by genes which regulate the process of growth is false' is true.", 'We know that either some dragonflies live for years or joints are areas of contact between bones that are bridged by connective tissue.', 'When some dragonflies live for years is true, it follows that if the claim that coots have whitish bills does not reflect reality, then all development is governed by genes which regulate the process of growth .', 'Given that joints are areas of contact between bones that are bridged by connective tissue, it can be inferred that if the claim that coots have whitish bills does not reflect reality, then all development is governed by genes which regulate the process of growth .']
|
If the statement that 'nutria prefer to burrow on steep slopes covered with vegetation' is incorrect, then killer whales stalk prey. When killer whales stalk prey is true, it follows that some plants grow at elevate concentration. So long as coots have whitish bills, 'if the statement that 'nutria prefer to burrow on steep slopes covered with vegetation' is incorrect, then companies have chances' is true. Once we know companies have chances, we also know that child care is a major issue in the United States and other countries. Whenever it is true that child care is a major issue in the United States and other countries, 'the statement, some plants grow at elevate concentration, does not hold' is true. Whenever it is true that the claim that coots have whitish bills does not reflect reality, 'the statement that states all development is governed by genes which regulate the process of growth is false' is true. We know that either some dragonflies live for years or joints are areas of contact between bones that are bridged by connective tissue. When some dragonflies live for years is true, it follows that if the claim that coots have whitish bills does not reflect reality, then all development is governed by genes which regulate the process of growth . Given that joints are areas of contact between bones that are bridged by connective tissue, it can be inferred that if the claim that coots have whitish bills does not reflect reality, then all development is governed by genes which regulate the process of growth .
|
Those that suggest nutria prefer to burrow on steep slopes covered with vegetation are right.
|
The statement that states nutria prefer to burrow on steep slopes covered with vegetation is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[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 Ponens:
If [5], then (If (Not [0].), then [2].).
[5] [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [5].), then [6]. [SC1-4]
If (Not [5].), then (Not [6].).
Therefore, [5].
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not [5].), then [6].).
If [8], then (If (Not [5].), then [6].).
Therefore, If (Not [5].), then [6]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Not [1].).
Therefore, If [2], then (Not [1].)..
|
{0: 'Nutria prefer to burrow on steep slopes covered with vegetation.', 1: 'Some plants grow at elevate concentration.', 2: 'Companies have chances.', 3: 'Killer whales stalk prey.', 4: 'Child care is a major issue in the United States and other countries.', 5: 'Coots have whitish bills.', 6: 'All development is governed by genes which regulate the process of growth .', 7: 'Some dragonflies live for years.', 8: 'Joints are areas of contact between bones that are bridged by connective tissue.'}
| 7 |
6,447 |
["It is a fact that either grasshoppers are occasional pests of ornamental landscapes or if damaged peas have small, dark indented spots and often contain grubs, then the statement 'if experimental science is actually the search for cause and effect relationships in nature, then many foods are high in fat and low in fibre' can be considered false.", 'Those that suggest grasshoppers are occasional pests of ornamental landscapes are wrong.', "Given that the statement that 'damaged peas have small, dark indented spots and often contain grubs' is incorrect, it can be inferred that antibiotics attack specific infections.", 'Either hot spots are areas of intense heat in the middle of tectonic plates or paddocks are pens.', 'If hot spots are areas of intense heat in the middle of tectonic plates, then if antibiotics attack specific infections, then either most chinchillas have necks or rods dominate at night while cones dominate during the day.', 'Assuming paddocks are pens, we know that if antibiotics attack specific infections, then either most chinchillas have necks or rods dominate at night while cones dominate during the day.', "Provided that all cancer cells originate from normal cells and have the intelligence of a normal cell, we know that the notion that 'either most chinchillas have necks or rods dominate at night while cones dominate during the day' is untrue.", 'It is a fact that either road atlases are atlases or all cancer cells originate from normal cells and have the intelligence of a normal cell.', 'It is a common misconception that road atlases are atlases.']
|
It is a fact that either grasshoppers are occasional pests of ornamental landscapes or if damaged peas have small, dark indented spots and often contain grubs, then the statement 'if experimental science is actually the search for cause and effect relationships in nature, then many foods are high in fat and low in fibre' can be considered false. Those that suggest grasshoppers are occasional pests of ornamental landscapes are wrong. Given that the statement that 'damaged peas have small, dark indented spots and often contain grubs' is incorrect, it can be inferred that antibiotics attack specific infections. Either hot spots are areas of intense heat in the middle of tectonic plates or paddocks are pens. If hot spots are areas of intense heat in the middle of tectonic plates, then if antibiotics attack specific infections, then either most chinchillas have necks or rods dominate at night while cones dominate during the day. Assuming paddocks are pens, we know that if antibiotics attack specific infections, then either most chinchillas have necks or rods dominate at night while cones dominate during the day. Provided that all cancer cells originate from normal cells and have the intelligence of a normal cell, we know that the notion that 'either most chinchillas have necks or rods dominate at night while cones dominate during the day' is untrue. It is a fact that either road atlases are atlases or all cancer cells originate from normal cells and have the intelligence of a normal cell. It is a common misconception that road atlases are atlases.
|
The statement 'if experimental science is actually the search for cause and effect relationships in nature, then many foods are high in fat and low in fibre' can be considered false.
|
The statement that states experimental science is a collaborative activity is false.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not (If [0], then [1].).).).
Not [3].
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-1]
Modus Tonens:
If (Not [2].), then [4].
Not [4]. [SC2-2]
Therefore, [2].
[SC2-2]
Modus Tonens:
If [4], then (Either [5] or [6].). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then (Either [5] or [6].).).
If [9], then (If [4], then (Either [5] or [6].).).
Therefore, If [4], then (Either [5] or [6].)..
[SC2-3]
Modus Ponens:
If [7], then (Not (Either [5] or [6].).).
[7] [SC2-4]
Therefore, Not (Either [5] or [6].)..
[SC2-4]
Disjunctive Syllogism:
Either [10] or [7].
Not [10].
Therefore, [7].
|
{0: 'Experimental science is actually the search for cause and effect relationships in nature.', 1: 'Many foods are high in fat and low in fibre.', 2: 'Damaged peas have small, dark indented spots and often contain grubs.', 3: 'Grasshoppers are occasional pests of ornamental landscapes.', 4: 'Antibiotics attack specific infections.', 5: 'Most chinchillas have necks.', 6: 'Rods dominate at night while cones dominate during the day.', 7: 'All cancer cells originate from normal cells and have the intelligence of a normal cell.', 8: 'Hot spots are areas of intense heat in the middle of tectonic plates.', 9: 'Paddocks are pens.', 10: 'Road atlases are atlases.'}
| 7 |
6,021 |
['Assuming some people mistakenly believe that if children need medical assistance, then islamic supremacists are generally an embarassment to Islamic nationalists, we know that libraries have books, tapes, records, and other materials to make learning more interesting.', "Assuming some people mistakenly believe that if children need medical assistance, then islamic supremacists are generally an embarassment to Islamic nationalists, we know that the statement 'libraries have books, tapes, records, and other materials to make learning more interesting' can be considered false.", 'Given that those that suggest either verrucous carcinomas are exceptional, with only three well-documented cases in the literature or if paleontologists study life during past geological periods as known from fossil remains, then children need medical assistance are wrong, it can be inferred that planetary names come from Roman mythology.', "Whenever it is true that those that suggest either verrucous carcinomas are exceptional, with only three well-documented cases in the literature or if paleontologists study life during past geological periods as known from fossil remains, then children need medical assistance are wrong, 'it is not true that planetary names come from Roman mythology' is true.", 'Assuming the claim that if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then echidnas look like spiny anteaters does not reflect reality, we know that a fluorspar is a mineral.', "The notion that 'a fluorspar is a mineral' is untrue.", 'We know that either dinosaurs are evolved from ancestry or razor shells live in the sand.', 'If dinosaurs are evolved from ancestry, then if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then it is a common misconception that echidnas look like spiny anteaters.', 'Once we know razor shells live in the sand, we also know that if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then it is a common misconception that echidnas look like spiny anteaters.']
|
Assuming some people mistakenly believe that if children need medical assistance, then islamic supremacists are generally an embarassment to Islamic nationalists, we know that libraries have books, tapes, records, and other materials to make learning more interesting. Assuming some people mistakenly believe that if children need medical assistance, then islamic supremacists are generally an embarassment to Islamic nationalists, we know that the statement 'libraries have books, tapes, records, and other materials to make learning more interesting' can be considered false. Given that those that suggest either verrucous carcinomas are exceptional, with only three well-documented cases in the literature or if paleontologists study life during past geological periods as known from fossil remains, then children need medical assistance are wrong, it can be inferred that planetary names come from Roman mythology. Whenever it is true that those that suggest either verrucous carcinomas are exceptional, with only three well-documented cases in the literature or if paleontologists study life during past geological periods as known from fossil remains, then children need medical assistance are wrong, 'it is not true that planetary names come from Roman mythology' is true. Assuming the claim that if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then echidnas look like spiny anteaters does not reflect reality, we know that a fluorspar is a mineral. The notion that 'a fluorspar is a mineral' is untrue. We know that either dinosaurs are evolved from ancestry or razor shells live in the sand. If dinosaurs are evolved from ancestry, then if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then it is a common misconception that echidnas look like spiny anteaters. Once we know razor shells live in the sand, we also know that if verrucous carcinomas are exceptional, with only three well-documented cases in the literature, then it is a common misconception that echidnas look like spiny anteaters.
|
Whenever it is true that paleontologists study life during past geological periods as known from fossil remains, 'islamic supremacists are generally an embarassment to Islamic nationalists' is true.
|
The statement 'if paleontologists study life during past geological periods as known from fossil remains, then islamic supremacists are generally an embarassment to Islamic nationalists' can be considered false.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If [0], then [2].). [SC1-2]
Not [4]. [SC2-2]
Therefore, If [0], then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (If [0], then [2].).).), then [6].
If (Not (Either [4] or (If [0], then [2].).).), then (Not [6].).
Therefore, Either [4] or (If [0], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-3]
If [4], then (Not [5].). [SC2-3]
Therefore, Not [4]..
[SC1-3]
Modus Tonens:
If (Not (If [4], then [5].).), then [7].
Not [7].
Therefore, If [4], then [5]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then (Not [5].).).
If [9], then (If [4], then (Not [5].).).
Therefore, If [4], then (Not [5].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3].
If (Not (If [2], then [1].).), then (Not [3].).
Therefore, If [2], then [1]..
|
{0: 'Paleontologists study life during past geological periods as known from fossil remains.', 1: 'Islamic supremacists are generally an embarassment to Islamic nationalists.', 2: 'Children need medical assistance.', 3: 'Libraries have books, tapes, records, and other materials to make learning more interesting.', 4: 'Verrucous carcinomas are exceptional, with only three well-documented cases in the literature.', 5: 'Echidnas look like spiny anteaters.', 6: 'Planetary names come from Roman mythology.', 7: 'A fluorspar is a mineral.', 8: 'Dinosaurs are evolved from ancestry.', 9: 'Razor shells live in the sand.'}
| 7 |
6,724 |
['It is rational to believe that either icing is part of cakes or history is the earthly realm out of which individuals are moved into the heavenly realm.', 'It is not the case that dramatization is representations.', "So long as it is not true that if history is the earthly realm out of which individuals are moved into the heavenly realm, then nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei, 'if fertilizers deplete many important minerals from food, then most viruses cause upper respiratory tract infection' is true.", 'It is rational to believe that either knowledge management harnesses intellectual capital and knowledge assets or it is not the case that if fertilizers deplete many important minerals from food, then most viruses cause upper respiratory tract infection.', 'The claim that knowledge management harnesses intellectual capital and knowledge assets is false.', "So long as it is not the case that if either maple isa wood or transportation affects the environment, then if the claim that if icing is part of cakes, then nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei has no merit, then dramatization is representations, 'fish injured by predators or otherwise wounded can also succumb to the fungus' is true.", 'The claim that fish injured by predators or otherwise wounded can also succumb to the fungus has no merit.', 'We know that either all isotopes of uranium are radioactive or reef fish can be temperamental.', 'If all isotopes of uranium are radioactive, then maple isa wood.', 'One may reasonably assume that if reef fish can be temperamental, then transportation affects the environment.']
|
It is rational to believe that either icing is part of cakes or history is the earthly realm out of which individuals are moved into the heavenly realm. It is not the case that dramatization is representations. So long as it is not true that if history is the earthly realm out of which individuals are moved into the heavenly realm, then nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei, 'if fertilizers deplete many important minerals from food, then most viruses cause upper respiratory tract infection' is true. It is rational to believe that either knowledge management harnesses intellectual capital and knowledge assets or it is not the case that if fertilizers deplete many important minerals from food, then most viruses cause upper respiratory tract infection. The claim that knowledge management harnesses intellectual capital and knowledge assets is false. So long as it is not the case that if either maple isa wood or transportation affects the environment, then if the claim that if icing is part of cakes, then nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei has no merit, then dramatization is representations, 'fish injured by predators or otherwise wounded can also succumb to the fungus' is true. The claim that fish injured by predators or otherwise wounded can also succumb to the fungus has no merit. We know that either all isotopes of uranium are radioactive or reef fish can be temperamental. If all isotopes of uranium are radioactive, then maple isa wood. One may reasonably assume that if reef fish can be temperamental, then transportation affects the environment.
|
nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei.
|
Nuclear chemistry is a field that deals with changes that occur inside the atomic nucleus.
|
Uncertain
|
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 [5]. [SC1-2]
Not [5].
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (Either [7] or [8].), then (If (Not (If [1], then [0].).), then [5].). [SC1-3]
Either [7] or [8]. [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [5]..
[SC1-3]
Modus Tonens:
If (Not (If (Either [7] or [8].), then (If (Not (If [1], then [0].).), then [5].).).), then [11].
Not [11].
Therefore, If (Either [7] or [8].), then (If (Not (If [1], then [0].).), then [5].)..
[SC2-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then [7].
If [10], then [8].
Therefore, Either [7] or [8]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then (If [3], then [4].).
Not (If [3], then [4].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not (If [3], then [4].).).
Not [6].
Therefore, Not (If [3], then [4].)..
|
{0: 'Nuclear chemistry is a unique part of chemistry where the chemical changes involve nuclei.', 1: 'Icing is part of cakes.', 2: 'History is the earthly realm out of which individuals are moved into the heavenly realm.', 3: 'Fertilizers deplete many important minerals from food.', 4: 'Most viruses cause upper respiratory tract infection.', 5: 'Dramatization is representations.', 6: 'Knowledge management harnesses intellectual capital and knowledge assets.', 7: 'Maple isa wood.', 8: 'Transportation affects the environment.', 9: 'All isotopes of uranium are radioactive.', 10: 'Reef fish can be temperamental.', 11: 'Fish injured by predators or otherwise wounded can also succumb to the fungus.'}
| 7 |
6,718 |
['Once we know muskmelons look like cantaloupe, we also know that some people mistakenly believe that some wild dogs eat livestock.', 'Given that it is a common misconception that either muskmelons look like cantaloupe or some couples ask for ultrasound to determine whether they are carrying a boy or girl, it can be inferred that the statement that states most aquatic groups are reasonably well known, taxonomicly as adults at the species level is false.', 'Given that convertibles are sofas, it can be inferred that if it is a common misconception that either muskmelons look like cantaloupe or some couples ask for ultrasound to determine whether they are carrying a boy or girl, then most aquatic groups are reasonably well known, taxonomicly as adults at the species level.', 'It is reasonable to believe that convertibles are sofas.', 'We know that at least one of two things is true: affiliate marketing is the hottest trend in Internet marketing, or some melons grow plastic.', 'Should it be the case that affiliate marketing is the hottest trend in Internet marketing, it follows that if some couples ask for ultrasound to determine whether they are carrying a boy or girl, then massage therapy can also provide a degree of pain relief.', 'One may reasonably assume that if some melons grow plastic, then if some couples ask for ultrasound to determine whether they are carrying a boy or girl, then massage therapy can also provide a degree of pain relief.', 'Assuming it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, we know that the statement that states some atoms are part of gold is false.', 'When the claim that if it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, then some atoms are part of gold is false is true, it follows that either camels can be tall or hypotheses offer molecular biological evidence.', 'Once we know the claim that if it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, then some atoms are part of gold is false, we also know that the claim that either camels can be tall or hypotheses offer molecular biological evidence has no merit.']
|
Once we know muskmelons look like cantaloupe, we also know that some people mistakenly believe that some wild dogs eat livestock. Given that it is a common misconception that either muskmelons look like cantaloupe or some couples ask for ultrasound to determine whether they are carrying a boy or girl, it can be inferred that the statement that states most aquatic groups are reasonably well known, taxonomicly as adults at the species level is false. Given that convertibles are sofas, it can be inferred that if it is a common misconception that either muskmelons look like cantaloupe or some couples ask for ultrasound to determine whether they are carrying a boy or girl, then most aquatic groups are reasonably well known, taxonomicly as adults at the species level. It is reasonable to believe that convertibles are sofas. We know that at least one of two things is true: affiliate marketing is the hottest trend in Internet marketing, or some melons grow plastic. Should it be the case that affiliate marketing is the hottest trend in Internet marketing, it follows that if some couples ask for ultrasound to determine whether they are carrying a boy or girl, then massage therapy can also provide a degree of pain relief. One may reasonably assume that if some melons grow plastic, then if some couples ask for ultrasound to determine whether they are carrying a boy or girl, then massage therapy can also provide a degree of pain relief. Assuming it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, we know that the statement that states some atoms are part of gold is false. When the claim that if it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, then some atoms are part of gold is false is true, it follows that either camels can be tall or hypotheses offer molecular biological evidence. Once we know the claim that if it is not true that if massage therapy can also provide a degree of pain relief, then some people mistakenly believe that some wild dogs eat livestock, then some atoms are part of gold is false, we also know that the claim that either camels can be tall or hypotheses offer molecular biological evidence has no merit.
|
Some people mistakenly believe that some wild dogs eat livestock.
|
Some people mistakenly believe that some wild dogs eat livestock.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [4]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [4].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (Either [1] or [2].).), then [4].).
[5]
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then (Not [0].). [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then [3].).
If [7], then (If [2], then [3].).
Therefore, If [2], then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [0].).).), then [8]. [SC1-3]
If (Not (If [3], then (Not [0].).).), then (Not [8].).
Therefore, If [3], then (Not [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (Not [0].).).), then [8].).), then (Either [9] or [10].).
If (Not (If (Not (If [3], then (Not [0].).).), then [8].).), then (Not (Either [9] or [10].).).
Therefore, If (Not (If [3], then (Not [0].).).), then [8]..
|
{0: 'Some wild dogs eat livestock.', 1: 'Muskmelons look like cantaloupe.', 2: 'Some couples ask for ultrasound to determine whether they are carrying a boy or girl.', 3: 'Massage therapy can also provide a degree of pain relief.', 4: 'Most aquatic groups are reasonably well known, taxonomicly as adults at the species level.', 5: 'Convertibles are sofas.', 6: 'Affiliate marketing is the hottest trend in Internet marketing.', 7: 'Some melons grow plastic.', 8: 'Some atoms are part of gold.', 9: 'Camels can be tall .', 10: 'Hypotheses offer molecular biological evidence.'}
| 7 |
6,250 |
['On the condition that some water has specific heat, it is definitely the case that wood is an extremely polyvalent material.', 'One may reasonably assume that if some people mistakenly believe that either some water has specific heat or african elephants have features, then booths are closets.', 'Once we know the claim that if african elephants have features, then wood is an extremely polyvalent material does not correspond with reality, we also know that if nucleons are part of nucleuses, then whirligig isa toy.', 'Given that the claim that if african elephants have features, then wood is an extremely polyvalent material does not correspond with reality, it can be inferred that the statement that states if nucleons are part of nucleuses, then whirligig isa toy is false.', 'The claim that if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures has no merit.', 'If those that suggest either if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures or if some people mistakenly believe that either some water has specific heat or african elephants have features, then it is not the case that booths are closets are wrong, then cheer is television shows.', "So long as cheer is television shows, 'either indonesian hair is naturally softer than Chinese or Indian hair and is more expensive or some frozen foods require considerably more cooking time and heat than canned goods' is true.", 'We know that at least one of two things is true: if anthrax is an occupational hazard in the three mainland countries, then endgame is a term used in chess, or if those that suggest either if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures or if some people mistakenly believe that either some water has specific heat or african elephants have features, then it is not the case that booths are closets are wrong, then some people mistakenly believe that either indonesian hair is naturally softer than Chinese or Indian hair and is more expensive or some frozen foods require considerably more cooking time and heat than canned goods.', 'The claim that if anthrax is an occupational hazard in the three mainland countries, then endgame is a term used in chess does not reflect reality.']
|
On the condition that some water has specific heat, it is definitely the case that wood is an extremely polyvalent material. One may reasonably assume that if some people mistakenly believe that either some water has specific heat or african elephants have features, then booths are closets. Once we know the claim that if african elephants have features, then wood is an extremely polyvalent material does not correspond with reality, we also know that if nucleons are part of nucleuses, then whirligig isa toy. Given that the claim that if african elephants have features, then wood is an extremely polyvalent material does not correspond with reality, it can be inferred that the statement that states if nucleons are part of nucleuses, then whirligig isa toy is false. The claim that if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures has no merit. If those that suggest either if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures or if some people mistakenly believe that either some water has specific heat or african elephants have features, then it is not the case that booths are closets are wrong, then cheer is television shows. So long as cheer is television shows, 'either indonesian hair is naturally softer than Chinese or Indian hair and is more expensive or some frozen foods require considerably more cooking time and heat than canned goods' is true. We know that at least one of two things is true: if anthrax is an occupational hazard in the three mainland countries, then endgame is a term used in chess, or if those that suggest either if some people are more vulnerable to ankle strains and sprains due to bone structure or foot type, then incinerators burn waste at high temperatures or if some people mistakenly believe that either some water has specific heat or african elephants have features, then it is not the case that booths are closets are wrong, then some people mistakenly believe that either indonesian hair is naturally softer than Chinese or Indian hair and is more expensive or some frozen foods require considerably more cooking time and heat than canned goods. The claim that if anthrax is an occupational hazard in the three mainland countries, then endgame is a term used in chess does not reflect reality.
|
It is fair to say that wood is an extremely polyvalent material.
|
It is fair to say that wood is an extremely polyvalent material.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3].
If (Not (Either [1] or [2].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).). [SC1-3]
Not (If [6], then [7].).
Therefore, If (Not (Either [1] or [2].).), then (Not [3].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then (Either [8] or [9].). [SC1-4]
If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then (Not (Either [8] or [9].).). [SC2-4]
Therefore, Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then [10].
If [10], then (Either [8] or [9].).
Therefore, If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then (Either [8] or [9].)..
[SC2-4]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then (Not (Either [8] or [9].).).).
Not (If [11], then [12].).
Therefore, If (Not (Either (If [6], then [7].) or (If (Not (Either [1] or [2].).), then (Not [3].).).).), then (Not (Either [8] or [9].).)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then (If [4], then [5].).
If (Not (If [2], then [0].).), then (Not (If [4], then [5].).).
Therefore, If [2], then [0]..
|
{0: 'Wood is an extremely polyvalent material.', 1: 'Some water has specific heat.', 2: 'African elephants have features.', 3: 'Booths are closets.', 4: 'Nucleons are part of nucleuses.', 5: 'Whirligig isa toy.', 6: 'Some people are more vulnerable to ankle strains and sprains due to bone structure or foot type.', 7: 'Incinerators burn waste at high temperatures.', 8: 'Indonesian hair is naturally softer than Chinese or Indian hair and is more expensive.', 9: 'Some frozen foods require considerably more cooking time and heat than canned goods.', 10: 'Cheer is television shows.', 11: 'Anthrax is an occupational hazard in the three mainland countries.', 12: 'Endgame is a term used in chess.'}
| 7 |
6,243 |
['The statement that states bundle scars are the marks left by the vascular bundles of the old leaves is right.', 'On the condition that the claim that if bundle scars are the marks left by the vascular bundles of the old leaves, then shopping carts are located in markets has no merit, it is definitely the case that the claim that some birds eat bark beetles does not reflect reality.', 'Should it be the case that some chemical groups are part of fructose, it follows that electric circuits behave in the same way.', 'There is good reason to believe that either marine air coming in from the Pacific Ocean helps keep the climate mild or freedom is an idea of reason that serves an indispensable practical function.', "So long as marine air coming in from the Pacific Ocean helps keep the climate mild, 'some chemical groups are part of fructose' is true.", 'Once we know freedom is an idea of reason that serves an indispensable practical function, we also know that some chemical groups are part of fructose.', 'If dominant disorders can vary widely in terms of the severity of the symptoms, then if electric circuits behave in the same way, then if the claim that if bundle scars are the marks left by the vascular bundles of the old leaves, then shopping carts are located in markets has no merit, then some birds eat bark beetles.', 'At least one of two things is true: penalties serve purposes, or compass bearings make contours.', 'Once we know penalties serve purposes, we also know that dominant disorders can vary widely in terms of the severity of the symptoms.', "So long as compass bearings make contours, 'dominant disorders can vary widely in terms of the severity of the symptoms' is true."]
|
The statement that states bundle scars are the marks left by the vascular bundles of the old leaves is right. On the condition that the claim that if bundle scars are the marks left by the vascular bundles of the old leaves, then shopping carts are located in markets has no merit, it is definitely the case that the claim that some birds eat bark beetles does not reflect reality. Should it be the case that some chemical groups are part of fructose, it follows that electric circuits behave in the same way. There is good reason to believe that either marine air coming in from the Pacific Ocean helps keep the climate mild or freedom is an idea of reason that serves an indispensable practical function. So long as marine air coming in from the Pacific Ocean helps keep the climate mild, 'some chemical groups are part of fructose' is true. Once we know freedom is an idea of reason that serves an indispensable practical function, we also know that some chemical groups are part of fructose. If dominant disorders can vary widely in terms of the severity of the symptoms, then if electric circuits behave in the same way, then if the claim that if bundle scars are the marks left by the vascular bundles of the old leaves, then shopping carts are located in markets has no merit, then some birds eat bark beetles. At least one of two things is true: penalties serve purposes, or compass bearings make contours. Once we know penalties serve purposes, we also know that dominant disorders can vary widely in terms of the severity of the symptoms. So long as compass bearings make contours, 'dominant disorders can vary widely in terms of the severity of the symptoms' is true.
|
It is fair to say that shopping carts are located in markets.
|
It is fair to say that shopping carts are located in markets.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[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 Ponens:
If [3], then (If (Not (If [1], then [0].).), then [2].). [SC1-3]
[3] [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (If (Not (If [1], then [0].).), then [2].). [SC2-4]
Therefore, If [3], then (If (Not (If [1], then [0].).), then [2].)..
[SC2-4]
Modus Ponens:
If [7], then (If [4], then (If (Not (If [1], then [0].).), then [2].).).
[7] [SC2-5]
Therefore, If [4], then (If (Not (If [1], then [0].).), then [2].)..
[SC2-5]
Disjunction Elimination:
Either [8] or [9].
If [8], then [7].
If [9], then [7].
Therefore, [7].
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then [3].
If [6], then [3].
Therefore, [3].
|
{0: 'Shopping carts are located in markets.', 1: 'Bundle scars are the marks left by the vascular bundles of the old leaves.', 2: 'Some birds eat bark beetles.', 3: 'Some chemical groups are part of fructose.', 4: 'Electric circuits behave in the same way.', 5: 'Marine air coming in from the Pacific Ocean helps keep the climate mild.', 6: 'Freedom is an idea of reason that serves an indispensable practical function.', 7: 'Dominant disorders can vary widely in terms of the severity of the symptoms.', 8: 'Penalties serve purposes.', 9: 'Compass bearings make contours.'}
| 7 |
6,571 |
['On the condition that we know that the claim that japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh is false, it is definitely the case that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons.', 'It is true that cases describe physical concepts.', "Whenever it is true that we know that the claim that if either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration, then the claim that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons does not reflect reality is false, 'prostate cancers kill almost as many men as all other forms of cancer put together' is true.", "Given that we know that the claim that if either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration, then the claim that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons does not reflect reality is false, it can be inferred that the statement that 'prostate cancers kill almost as many men as all other forms of cancer put together' is incorrect.", "When the statement that states if the statement that 'if cases describe physical concepts, then if we know that the claim that japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh is false, then either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration' is incorrect, then drives are located in golf courses is false is true, it follows that sunlight reduces the effects of biological agents.", 'The claim that sunlight reduces the effects of biological agents does not reflect reality.', 'On the condition that animals hide in forests, it is definitely the case that it is not the case that drives are located in golf courses.', 'The idea that animals hide in forests is true.']
|
On the condition that we know that the claim that japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh is false, it is definitely the case that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons. It is true that cases describe physical concepts. Whenever it is true that we know that the claim that if either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration, then the claim that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons does not reflect reality is false, 'prostate cancers kill almost as many men as all other forms of cancer put together' is true. Given that we know that the claim that if either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration, then the claim that either stinging nettle is a common understory component of riparian communities or most plants die within grow seasons does not reflect reality is false, it can be inferred that the statement that 'prostate cancers kill almost as many men as all other forms of cancer put together' is incorrect. When the statement that states if the statement that 'if cases describe physical concepts, then if we know that the claim that japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh is false, then either capybaras have (part) vacuoles or scientists use radio waves to monitor weather, national defense and space exploration' is incorrect, then drives are located in golf courses is false is true, it follows that sunlight reduces the effects of biological agents. The claim that sunlight reduces the effects of biological agents does not reflect reality. On the condition that animals hide in forests, it is definitely the case that it is not the case that drives are located in golf courses. The idea that animals hide in forests is true.
|
It is the case that japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh.
|
Some japanese gingers produce rhizomes.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then (Not (Either [1] or [2].).). [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not [0].), then (Either [3] or [4].).). [SC1-3]
[6]
Therefore, If (Not [0].), then (Either [3] or [4].)..
[SC1-3]
Modus Tonens:
If (Not (If [6], then (If (Not [0].), then (Either [3] or [4].).).).), then [7]. [SC1-4]
Not [7]. [SC2-4]
Therefore, If [6], then (If (Not [0].), then (Either [3] or [4].).)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [6], then (If (Not [0].), then (Either [3] or [4].).).).), then [7].).), then [9].
Not [9].
Therefore, If (Not (If [6], then (If (Not [0].), then (Either [3] or [4].).).).), then [7]..
[SC2-4]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then [5].
If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].).
Therefore, If (Either [3] or [4].), then (Not (Either [1] or [2].).)..
|
{0: 'Japanese ginger produces a spicy rhizome with thin skin and yellow inner flesh.', 1: 'Stinging nettle is a common understory component of riparian communities.', 2: 'Most plants die within grow seasons.', 3: 'Capybaras have (part) vacuoles.', 4: 'Scientists use radio waves to monitor weather, national defense and space exploration.', 5: 'Prostate cancers kill almost as many men as all other forms of cancer put together.', 6: 'Cases describe physical concepts.', 7: 'Drives are located in golf courses.', 8: 'Animals hide in forests.', 9: 'Sunlight reduces the effects of biological agents.'}
| 7 |
6,035 |
["So long as the claim that if rubella is generally a mild illness which characteristically produces a rash, then most tumor cells have different genes and proteins activated compared to normal cells is false, 'we know that the claim that topical corticosteroids are useful for outpatient treatment of patients with limited disease is false' is true.", 'It is rational to believe that either other vegetation provides food or spurs can also occur without pain.', "On the condition that other vegetation provides food, it is definitely the case that if rubella is generally a mild illness which characteristically produces a rash, then the statement that 'most tumor cells have different genes and proteins activated compared to normal cells' is incorrect.", "On the condition that spurs can also occur without pain, it is definitely the case that if rubella is generally a mild illness which characteristically produces a rash, then the statement that 'most tumor cells have different genes and proteins activated compared to normal cells' is incorrect.", 'We know that either males have a dominance hierarchy which is maintained by aggression or liquid ammonia is liquids.', "So long as either males have a dominance hierarchy which is maintained by aggression or liquid ammonia is liquids, 'fittings are tests' is true.", 'One may reasonably assume that if fittings are tests, then a crush is a leather.', 'Assuming a crush is a leather, we know that some common gastropods are slugs and snails.', 'On the condition that some common gastropods are slugs and snails, it is definitely the case that if the claim that if rubella is generally a mild illness which characteristically produces a rash, then most tumor cells have different genes and proteins activated compared to normal cells is false, then topical corticosteroids are useful for outpatient treatment of patients with limited disease.']
|
So long as the claim that if rubella is generally a mild illness which characteristically produces a rash, then most tumor cells have different genes and proteins activated compared to normal cells is false, 'we know that the claim that topical corticosteroids are useful for outpatient treatment of patients with limited disease is false' is true. It is rational to believe that either other vegetation provides food or spurs can also occur without pain. On the condition that other vegetation provides food, it is definitely the case that if rubella is generally a mild illness which characteristically produces a rash, then the statement that 'most tumor cells have different genes and proteins activated compared to normal cells' is incorrect. On the condition that spurs can also occur without pain, it is definitely the case that if rubella is generally a mild illness which characteristically produces a rash, then the statement that 'most tumor cells have different genes and proteins activated compared to normal cells' is incorrect. We know that either males have a dominance hierarchy which is maintained by aggression or liquid ammonia is liquids. So long as either males have a dominance hierarchy which is maintained by aggression or liquid ammonia is liquids, 'fittings are tests' is true. One may reasonably assume that if fittings are tests, then a crush is a leather. Assuming a crush is a leather, we know that some common gastropods are slugs and snails. On the condition that some common gastropods are slugs and snails, it is definitely the case that if the claim that if rubella is generally a mild illness which characteristically produces a rash, then most tumor cells have different genes and proteins activated compared to normal cells is false, then topical corticosteroids are useful for outpatient treatment of patients with limited disease.
|
The claim that rubella is generally a mild illness which characteristically produces a rash does not correspond with reality.
|
The claim that rubella tends to occur in epidemics in the community does not reflect reality.
|
Uncertain
|
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]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [4].).
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then [4].). [SC1-3]
Either [5] or [6].
Therefore, If (Not (If [0], then [1].).), then [4]..
[SC1-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then [7]. [SC1-4]
If [7], then (If (Not (If [0], then [1].).), then [4].). [SC2-4]
Therefore, If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then [4].)..
[SC1-4]
Hypothetical Syllogism:
If (Either [5] or [6].), then [9].
If [9], then [7].
Therefore, If (Either [5] or [6].), then [7]..
[SC2-4]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If (Not (If [0], then [1].).), then [4].).
Therefore, If [7], then (If (Not (If [0], then [1].).), then [4].)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then (Not [1].).).
If [3], then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
|
{0: 'Rubella is generally a mild illness which characteristically produces a rash.', 1: 'Most tumor cells have different genes and proteins activated compared to normal cells.', 2: 'Other vegetation provides food.', 3: 'Spurs can also occur without pain.', 4: 'Topical corticosteroids are useful for outpatient treatment of patients with limited disease.', 5: 'Males have a dominance hierarchy which is maintained by aggression.', 6: 'Liquid ammonia is liquids.', 7: 'A crush is a leather.', 8: 'Some common gastropods are slugs and snails.', 9: 'Fittings are tests.'}
| 7 |
6,081 |
['The claim that constructivism is a child-centered theory of learning that has been around for a long time holds true.', "The statement 'either dividends are a share of profits or much fertilizer encourages growth' can be considered false.", 'There is good reason to believe that either carrots grow larger than normal when planted with chive or either real presence is religious doctrines or dumplings have a long history and many different names.', 'On the condition that bluebirds have (part) cytoplasm, it is definitely the case that either either dividends are a share of profits or much fertilizer encourages growth or either if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women or if constructivism is a child-centered theory of learning that has been around for a long time, then fuel contributes to fire.', 'The idea that bluebirds have (part) cytoplasm is true.', 'Assuming carrots grow larger than normal when planted with chive, we know that older dogs have their behaviour patterns established as well.', "On the condition that older dogs have their behaviour patterns established as well, it is definitely the case that the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue.", 'Either one or both of these statements are true: some garments are made of fur, or if plastrons are mostly pale yellow, then constipation fosters the development of acne, and can worsen an already existing condition.', "Should it be the case that some garments are made of fur, it follows that if either real presence is religious doctrines or dumplings have a long history and many different names, then the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue.", "Provided that if plastrons are mostly pale yellow, then constipation fosters the development of acne, and can worsen an already existing condition, we know that if either real presence is religious doctrines or dumplings have a long history and many different names, then the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue."]
|
The claim that constructivism is a child-centered theory of learning that has been around for a long time holds true. The statement 'either dividends are a share of profits or much fertilizer encourages growth' can be considered false. There is good reason to believe that either carrots grow larger than normal when planted with chive or either real presence is religious doctrines or dumplings have a long history and many different names. On the condition that bluebirds have (part) cytoplasm, it is definitely the case that either either dividends are a share of profits or much fertilizer encourages growth or either if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women or if constructivism is a child-centered theory of learning that has been around for a long time, then fuel contributes to fire. The idea that bluebirds have (part) cytoplasm is true. Assuming carrots grow larger than normal when planted with chive, we know that older dogs have their behaviour patterns established as well. On the condition that older dogs have their behaviour patterns established as well, it is definitely the case that the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue. Either one or both of these statements are true: some garments are made of fur, or if plastrons are mostly pale yellow, then constipation fosters the development of acne, and can worsen an already existing condition. Should it be the case that some garments are made of fur, it follows that if either real presence is religious doctrines or dumplings have a long history and many different names, then the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue. Provided that if plastrons are mostly pale yellow, then constipation fosters the development of acne, and can worsen an already existing condition, we know that if either real presence is religious doctrines or dumplings have a long history and many different names, then the notion that 'if screens are protective covering, then fish can help to prevent heart attacks in middle aged men and older men and women' is untrue.
|
It is true that fuel contributes to fire.
|
The claim that fuel contributes to fire does not correspond with reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [1], then [0].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either (If [2], then [3].) or (If [1], then [0].).). [SC1-3]
Not (Either [7] or [8].).
Therefore, Either (If [2], then [3].) or (If [1], then [0].)..
[SC1-3]
Modus Ponens:
If [9], then (Either (Either [7] or [8].) or (Either (If [2], then [3].) or (If [1], then [0].).).).
[9]
Therefore, Either (Either [7] or [8].) or (Either (If [2], then [3].) or (If [1], then [0].).)..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not (If [2], then [3].).). [SC2-3]
If (Either [5] or [6].), then (Not (If [2], then [3].).). [SC3-3]
Therefore, Not (If [2], then [3].)..
[SC2-3]
Hypothetical Syllogism:
If [4], then [13].
If [13], then (Not (If [2], then [3].).).
Therefore, If [4], then (Not (If [2], then [3].).)..
[SC3-3]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (If (Either [5] or [6].), then (Not (If [2], then [3].).).).
If (If [11], then [12].), then (If (Either [5] or [6].), then (Not (If [2], then [3].).).).
Therefore, If (Either [5] or [6].), then (Not (If [2], then [3].).)..
|
{0: 'Fuel contributes to fire.', 1: 'Constructivism is a child-centered theory of learning that has been around for a long time.', 2: 'Screens are protective covering.', 3: 'Fish can help to prevent heart attacks in middle aged men and older men and women.', 4: 'Carrots grow larger than normal when planted with chive.', 5: 'Real presence is religious doctrines.', 6: 'Dumplings have a long history and many different names.', 7: 'Dividends are a share of profits.', 8: 'Much fertilizer encourages growth.', 9: 'Bluebirds have (part) cytoplasm.', 10: 'Some garments are made of fur.', 11: 'Plastrons are mostly pale yellow.', 12: 'Constipation fosters the development of acne, and can worsen an already existing condition.', 13: 'Older dogs have their behaviour patterns established as well.'}
| 7 |
6,159 |
['There is good reason to believe that either most batteries produce energy or most people keep horses.', 'Provided that most batteries produce energy, we know that random variables have a variety of applications in statistical simulations.', "So long as most people keep horses, 'light is bounced, separated into different colors, and recombined to make white light' is true.", "Given that the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, it can be inferred that every race has it's own uniqueness and character.", 'Assuming the claim that if light is bounced, separated into different colors, and recombined to make white light, then many house plants can cause illness or death is false, we know that halophytes are vascular plants.', 'The claim that halophytes are vascular plants does not correspond with reality.', 'The claim that provision is stores holds true.', "Assuming compounds have similar effects, we know that if provision is stores, then if the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, then the statement 'every race has it's own uniqueness and character' can be considered false.", "Provided that oxytocins are drugs, we know that if provision is stores, then if the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, then the statement 'every race has it's own uniqueness and character' can be considered false.", 'If if sea lions are also fierce fighters, just like lions, then many drugs are also available to lower high blood pressure, then either compounds have similar effects or oxytocins are drugs.', 'One may reasonably assume that if sea lions are also fierce fighters, just like lions, then many drugs are also available to lower high blood pressure.']
|
There is good reason to believe that either most batteries produce energy or most people keep horses. Provided that most batteries produce energy, we know that random variables have a variety of applications in statistical simulations. So long as most people keep horses, 'light is bounced, separated into different colors, and recombined to make white light' is true. Given that the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, it can be inferred that every race has it's own uniqueness and character. Assuming the claim that if light is bounced, separated into different colors, and recombined to make white light, then many house plants can cause illness or death is false, we know that halophytes are vascular plants. The claim that halophytes are vascular plants does not correspond with reality. The claim that provision is stores holds true. Assuming compounds have similar effects, we know that if provision is stores, then if the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, then the statement 'every race has it's own uniqueness and character' can be considered false. Provided that oxytocins are drugs, we know that if provision is stores, then if the statement, if random variables have a variety of applications in statistical simulations, then some koalas regurgitate food, does not hold, then the statement 'every race has it's own uniqueness and character' can be considered false. If if sea lions are also fierce fighters, just like lions, then many drugs are also available to lower high blood pressure, then either compounds have similar effects or oxytocins are drugs. One may reasonably assume that if sea lions are also fierce fighters, just like lions, then many drugs are also available to lower high blood pressure.
|
It is a fact that either some koalas regurgitate food or many house plants can cause illness or death.
|
It is a fact that either koalas spend most of their time in trees or some house plants can be quite harmful if ingested by an animal.
|
Uncertain
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then [3].
Therefore, Either [2] or [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [6].
If (Not (If [2], then [0].).), then (Not [6].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Ponens:
If [8], then (If (Not (If [2], then [0].).), then (Not [6].).). [SC1-3]
[8]
Therefore, If (Not (If [2], then [0].).), then (Not [6].)..
[SC1-3]
Disjunction Elimination:
Either [9] or [10]. [SC1-4]
If [9], then (If [8], then (If (Not (If [2], then [0].).), then (Not [6].).).).
If [10], then (If [8], then (If (Not (If [2], then [0].).), then (Not [6].).).).
Therefore, If [8], then (If (Not (If [2], then [0].).), then (Not [6].).)..
[SC1-4]
Modus Ponens:
If (If [11], then [12].), then (Either [9] or [10].).
If [11], then [12].
Therefore, Either [9] or [10]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [1].).), then [7].
Not [7].
Therefore, If [3], then [1]..
|
{0: 'Some koalas regurgitate food.', 1: 'Many house plants can cause illness or death.', 2: 'Random variables have a variety of applications in statistical simulations.', 3: 'Light is bounced, separated into different colors, and recombined to make white light.', 4: 'Most batteries produce energy.', 5: 'Most people keep horses.', 6: "Every race has it's own uniqueness and character.", 7: 'Halophytes are vascular plants.', 8: 'Provision is stores.', 9: 'Compounds have similar effects.', 10: 'Oxytocins are drugs.', 11: 'Sea lions are also fierce fighters, just like lions.', 12: 'Many drugs are also available to lower high blood pressure.'}
| 7 |
6,333 |
['We know that the claim that insurance is a business is false.', 'We know that at least one of two things is true: love is the factor in refraining from hostilities and bringing about peace and friendship, or exobiology is the name of the science that studies the possibility of extraterrestrial life.', 'Assuming the claim that if either love is the factor in refraining from hostilities and bringing about peace and friendship or exobiology is the name of the science that studies the possibility of extraterrestrial life, then either insurance is a business or pulsars slow down with increasing age does not reflect reality, we know that moles burrow and raise molehills , killing parts of lawns .', 'The idea that metallics work with almost everything, too is true.', 'If liquid is also cool, then if metallics work with almost everything, too, then those that suggest moles burrow and raise molehills , killing parts of lawns are wrong.', 'One may reasonably assume that if the statement, either mature trees give shelter with three natural swimming holes safe for the young or liquid is also cool, does not hold, then skin gives rise to follicles that produce feathers.', 'The claim that skin gives rise to follicles that produce feathers is false.', 'Assuming mature trees give shelter with three natural swimming holes safe for the young, we know that crocodiles have third eyelids.', 'Once we know crocodiles have third eyelids, we also know that if metallics work with almost everything, too, then those that suggest moles burrow and raise molehills , killing parts of lawns are wrong.']
|
We know that the claim that insurance is a business is false. We know that at least one of two things is true: love is the factor in refraining from hostilities and bringing about peace and friendship, or exobiology is the name of the science that studies the possibility of extraterrestrial life. Assuming the claim that if either love is the factor in refraining from hostilities and bringing about peace and friendship or exobiology is the name of the science that studies the possibility of extraterrestrial life, then either insurance is a business or pulsars slow down with increasing age does not reflect reality, we know that moles burrow and raise molehills , killing parts of lawns . The idea that metallics work with almost everything, too is true. If liquid is also cool, then if metallics work with almost everything, too, then those that suggest moles burrow and raise molehills , killing parts of lawns are wrong. One may reasonably assume that if the statement, either mature trees give shelter with three natural swimming holes safe for the young or liquid is also cool, does not hold, then skin gives rise to follicles that produce feathers. The claim that skin gives rise to follicles that produce feathers is false. Assuming mature trees give shelter with three natural swimming holes safe for the young, we know that crocodiles have third eyelids. Once we know crocodiles have third eyelids, we also know that if metallics work with almost everything, too, then those that suggest moles burrow and raise molehills , killing parts of lawns are wrong.
|
It is reasonable to believe that pulsars slow down with increasing age.
|
It is a common misconception that pulsars slow down with increasing age.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (Either [1] or [0].). [SC1-2]
Either [2] or [3].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then [4].
Not [4]. [SC2-3]
Therefore, If (Either [2] or [3].), then (Either [1] or [0].)..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].). [SC1-4]
[5]
Therefore, Not [4]..
[SC1-4]
Disjunction Elimination:
Either [6] or [7]. [SC1-5]
If [6], then (If [5], then (Not [4].).). [SC2-5]
If [7], then (If [5], then (Not [4].).).
Therefore, If [5], then (Not [4].)..
[SC1-5]
Modus Tonens:
If (Not (Either [6] or [7].).), then [8].
Not [8].
Therefore, Either [6] or [7]..
[SC2-5]
Hypothetical Syllogism:
If [6], then [9].
If [9], then (If [5], then (Not [4].).).
Therefore, If [6], then (If [5], then (Not [4].).)..
|
{0: 'Pulsars slow down with increasing age.', 1: 'Insurance is a business.', 2: 'Love is the factor in refraining from hostilities and bringing about peace and friendship.', 3: 'Exobiology is the name of the science that studies the possibility of extraterrestrial life.', 4: 'Moles burrow and raise molehills , killing parts of lawns .', 5: 'Metallics work with almost everything, too.', 6: 'Mature trees give shelter with three natural swimming holes safe for the young.', 7: 'Liquid is also cool.', 8: 'Skin gives rise to follicles that produce feathers.', 9: 'Crocodiles have third eyelids.'}
| 7 |
6,837 |
['The claim that baths fill with water does not reflect reality.', 'We know that either raw foods require less total sleep and achieve a more restful sleep or bulls are adults.', 'Provided that raw foods require less total sleep and achieve a more restful sleep, we know that either baths fill with water or time is devoid of the essential reality of the atom or the Void.', "The notion that 'loon parents bring enough food' is untrue.", 'Given that the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, it can be inferred that the claim that some ferns grow rock crevices does not reflect reality.', 'There is good reason to believe that either different components have functions or either timer is a clock or rats live in countries.', "So long as some people mistakenly believe that if different components have functions, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices, 'drugs are chemicals that are intended to alter body function' is true.", 'Should it be the case that some people mistakenly believe that if different components have functions, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices, it follows that it is a common misconception that drugs are chemicals that are intended to alter body function.', 'Either one or both of these statements are true: excess stress leads to illness, illness to absenteeism, absenteeism to turnover, or if either timer is a clock or rats live in countries, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices.', 'It is a common misconception that excess stress leads to illness, illness to absenteeism, absenteeism to turnover.']
|
The claim that baths fill with water does not reflect reality. We know that either raw foods require less total sleep and achieve a more restful sleep or bulls are adults. Provided that raw foods require less total sleep and achieve a more restful sleep, we know that either baths fill with water or time is devoid of the essential reality of the atom or the Void. The notion that 'loon parents bring enough food' is untrue. Given that the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, it can be inferred that the claim that some ferns grow rock crevices does not reflect reality. There is good reason to believe that either different components have functions or either timer is a clock or rats live in countries. So long as some people mistakenly believe that if different components have functions, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices, 'drugs are chemicals that are intended to alter body function' is true. Should it be the case that some people mistakenly believe that if different components have functions, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices, it follows that it is a common misconception that drugs are chemicals that are intended to alter body function. Either one or both of these statements are true: excess stress leads to illness, illness to absenteeism, absenteeism to turnover, or if either timer is a clock or rats live in countries, then if the claim that either loon parents bring enough food or if bulls are adults, then either baths fill with water or time is devoid of the essential reality of the atom or the Void has no merit, then some ferns grow rock crevices. It is a common misconception that excess stress leads to illness, illness to absenteeism, absenteeism to turnover.
|
The statement 'time is devoid of the essential reality of the atom or the Void' is true.
|
The statement, time is devoid of the essential reality of the atom or the Void, does not hold.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [1] or [0].).
If [3], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Disjunctive Syllogism:
Either [4] or (If [3], then (Either [1] or [0].).). [SC1-3]
Not [4].
Therefore, If [3], then (Either [1] or [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5]. [SC1-4]
If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then (Not [5].).
Therefore, Either [4] or (If [3], then (Either [1] or [0].).)..
[SC1-4]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].). [SC2-5]
If (Either [7] or [8].), then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].). [SC3-5]
Therefore, If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5]..
[SC2-5]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].).).), then [9].
If (Not (If [6], then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].).).), then (Not [9].).
Therefore, If [6], then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].)..
[SC3-5]
Disjunctive Syllogism:
Either [10] or (If (Either [7] or [8].), then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].).).
Not [10].
Therefore, If (Either [7] or [8].), then (If (Not (Either [4] or (If [3], then (Either [1] or [0].).).).), then [5].)..
|
{0: 'Time is devoid of the essential reality of the atom or the Void.', 1: 'Baths fill with water.', 2: 'Raw foods require less total sleep and achieve a more restful sleep.', 3: 'Bulls are adults.', 4: 'Loon parents bring enough food.', 5: 'Some ferns grow rock crevices.', 6: 'Different components have functions.', 7: 'Timer is a clock.', 8: 'Rats live in countries.', 9: 'Drugs are chemicals that are intended to alter body function.', 10: 'Excess stress leads to illness, illness to absenteeism, absenteeism to turnover.'}
| 7 |
6,474 |
['Those that suggest either safety is the personal or societal acceptance of a given risk or love is present during lonely times are wrong.', 'It is rational to believe that either athletes are located in stadiums or migraines are a separate and specific medical problem.', "On the condition that athletes are located in stadiums, it is definitely the case that if if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages, then either either safety is the personal or societal acceptance of a given risk or love is present during lonely times or the statement, new plants form at the base of the stem, does not hold.", 'We know that either vertebrates have necks or some painters work in factories.', "Whenever it is true that vertebrates have necks, 'if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages' is true.", "One may reasonably assume that if some painters work in factories, then if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages.", 'One may reasonably assume that if limbless vertebrates use serpentine, rectilinear, concertina, or sidewinding locomotion, then if migraines are a separate and specific medical problem, then most yellow macaws make other loud noise.', 'Those that suggest limbless vertebrates use serpentine, rectilinear, concertina, or sidewinding locomotion are right.', 'On the condition that most yellow macaws make other loud noise, it is definitely the case that ospreys have (part) skulls.', "On the condition that ospreys have (part) skulls, it is definitely the case that if if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages, then either either safety is the personal or societal acceptance of a given risk or love is present during lonely times or the statement, new plants form at the base of the stem, does not hold."]
|
Those that suggest either safety is the personal or societal acceptance of a given risk or love is present during lonely times are wrong. It is rational to believe that either athletes are located in stadiums or migraines are a separate and specific medical problem. On the condition that athletes are located in stadiums, it is definitely the case that if if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages, then either either safety is the personal or societal acceptance of a given risk or love is present during lonely times or the statement, new plants form at the base of the stem, does not hold. We know that either vertebrates have necks or some painters work in factories. Whenever it is true that vertebrates have necks, 'if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages' is true. One may reasonably assume that if some painters work in factories, then if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages. One may reasonably assume that if limbless vertebrates use serpentine, rectilinear, concertina, or sidewinding locomotion, then if migraines are a separate and specific medical problem, then most yellow macaws make other loud noise. Those that suggest limbless vertebrates use serpentine, rectilinear, concertina, or sidewinding locomotion are right. On the condition that most yellow macaws make other loud noise, it is definitely the case that ospreys have (part) skulls. On the condition that ospreys have (part) skulls, it is definitely the case that if if oology is a branch of ornithology that deals with the study of birds' eggs, then some specific antibodies show apparent cleavages, then either either safety is the personal or societal acceptance of a given risk or love is present during lonely times or the statement, new plants form at the base of the stem, does not hold.
|
The statement, new plants form at the base of the stem, does not hold.
|
It is the case that new plants form at the base of the stem.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).). [SC1-2]
If [3], then [4]. [SC2-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).).
If [8], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).). [SC3-3]
Therefore, If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).)..
[SC3-3]
Hypothetical Syllogism:
If [8], then [9]. [SC1-4]
If [9], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).). [SC2-4]
Therefore, If [8], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).)..
[SC1-4]
Modus Ponens:
If [10], then (If [8], then [9].).
[10]
Therefore, If [8], then [9]..
[SC2-4]
Hypothetical Syllogism:
If [9], then [11].
If [11], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).).
Therefore, If [9], then (If (If [3], then [4].), then (Either (Either [1] or [2].) or (Not [0].).).)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [4].).
If [6], then (If [3], then [4].).
Therefore, If [3], then [4]..
|
{0: 'New plants form at the base of the stem.', 1: 'Safety is the personal or societal acceptance of a given risk.', 2: 'Love is present during lonely times.', 3: "Oology is a branch of ornithology that deals with the study of birds' eggs.", 4: 'Some specific antibodies show apparent cleavages.', 5: 'Vertebrates have necks.', 6: 'Some painters work in factories.', 7: 'Athletes are located in stadiums.', 8: 'Migraines are a separate and specific medical problem.', 9: 'Most yellow macaws make other loud noise.', 10: 'Limbless vertebrates use serpentine, rectilinear, concertina, or sidewinding locomotion.', 11: 'Ospreys have (part) skulls.'}
| 7 |
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