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| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
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| conclusion
stringlengths 15
240
| question
stringlengths 14
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stringlengths 54
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6,671 |
['We know that either most people lose kidney functions or if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones.', 'Should it be the case that emotions associate with elements that symbolize realities, it follows that if most people lose kidney functions, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities.', 'emotions associate with elements that symbolize realities.', 'When the statement that states if if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities is false is true, it follows that organisms reproduce to perpetuate the species.', 'One may reasonably assume that if the statement that states if if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities is false, then it is not the case that organisms reproduce to perpetuate the species.', 'We know that at least one of two things is true: sites use cookies, or either if natural vegetation provides berries, seeds and insects, then child molesters are four times more likely than other violent criminals to recommit their crime or if liquid contact causes frostbite, then commodity trading involves a high degree of leverage.', "The notion that 'sites use cookies' is untrue.", "So long as if natural vegetation provides berries, seeds and insects, then child molesters are four times more likely than other violent criminals to recommit their crime, 'a bayonet is a knife' is true.", "The statement 'a bayonet is a knife' can be considered false."]
|
We know that either most people lose kidney functions or if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones. Should it be the case that emotions associate with elements that symbolize realities, it follows that if most people lose kidney functions, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities. emotions associate with elements that symbolize realities. When the statement that states if if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities is false is true, it follows that organisms reproduce to perpetuate the species. One may reasonably assume that if the statement that states if if crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class, then bone marrow is the spongy tissue found inside large bones, then if if liquid contact causes frostbite, then commodity trading involves a high degree of leverage, then hypotheses suggest activities is false, then it is not the case that organisms reproduce to perpetuate the species. We know that at least one of two things is true: sites use cookies, or either if natural vegetation provides berries, seeds and insects, then child molesters are four times more likely than other violent criminals to recommit their crime or if liquid contact causes frostbite, then commodity trading involves a high degree of leverage. The notion that 'sites use cookies' is untrue. So long as if natural vegetation provides berries, seeds and insects, then child molesters are four times more likely than other violent criminals to recommit their crime, 'a bayonet is a knife' is true. The statement 'a bayonet is a knife' can be considered false.
|
It is reasonable to believe that hypotheses suggest activities.
|
It is reasonable to believe that hypotheses suggest activities.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (If (If [1], then [2].), then [0].). [SC2-2]
If (If [4], then [5].), then (If (If [1], then [2].), then [0].). [SC3-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Modus Ponens:
If [8], then (If [3], then (If (If [1], then [2].), then [0].).).
[8]
Therefore, If [3], then (If (If [1], then [2].), then [0].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (If [4], then [5].), then (If (If [1], then [2].), then [0].).).), then [11].
If (Not (If (If [4], then [5].), then (If (If [1], then [2].), then [0].).).), then (Not [11].).
Therefore, If (If [4], then [5].), then (If (If [1], then [2].), then [0].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If [1], then [2].). [SC1-2]
Not (If [6], then [7].). [SC2-2]
Therefore, If [1], then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either (If [6], then [7].) or (If [1], then [2].).).
Not [9].
Therefore, Either (If [6], then [7].) or (If [1], then [2].)..
[SC2-2]
Modus Tonens:
If (If [6], then [7].), then [10].
Not [10].
Therefore, Not (If [6], then [7].)..
|
{0: 'Hypotheses suggest activities.', 1: 'Liquid contact causes frostbite.', 2: 'Commodity trading involves a high degree of leverage.', 3: 'Most people lose kidney functions.', 4: 'Crime is one of the major factors that perpetuates a shadow economy and thus a shadow middle class.', 5: 'Bone marrow is the spongy tissue found inside large bones.', 6: 'Natural vegetation provides berries, seeds and insects.', 7: 'Child molesters are four times more likely than other violent criminals to recommit their crime.', 8: 'Emotions associate with elements that symbolize realities.', 9: 'Sites use cookies.', 10: 'A bayonet is a knife.', 11: 'Organisms reproduce to perpetuate the species.'}
| 7 |
6,109 |
['The claim that helps prevent maturity-onset diabetes and is an essential part in the management of diabetes does not reflect reality.', 'It is a fact that either gerenuks have (part) faces or if anger is one emotion that people use to respond to threat, stress, or loss, then information drives biochemistry, just as biochemistry underwrites information processing.', "On the condition that the notion that 'if gerenuks have (part) faces, then helps prevent maturity-onset diabetes and is an essential part in the management of diabetes' is untrue, it is definitely the case that heat cramps are painful muscle spasms in the arms, legs and mid-section.", "The statement that 'heat cramps are painful muscle spasms in the arms, legs and mid-section' is incorrect.", "Either one or both of these statements are true: extremes are hurtful and pain is the bodies way of telling the mind that it is in an extreme state, or if if anger is one emotion that people use to respond to threat, stress, or loss, then information drives biochemistry, just as biochemistry underwrites information processing, then the notion that 'if sustainability is the heart of all future product development, then some seizures involve several thousand animals' is untrue.", 'Assuming any body position can cause discomfort and fatigue if it is maintained for long periods of time, we know that if extremes are hurtful and pain is the bodies way of telling the mind that it is in an extreme state, then if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening.', "The statement 'any body position can cause discomfort and fatigue if it is maintained for long periods of time' can be considered true.", 'At least one of two things is true: emotional intimacy takes time to develop, or either mothers nurse their children to sleep and then nurse on demand through the night or nightdresses have (part) hems.', 'Should it be the case that emotional intimacy takes time to develop, it follows that those that suggest if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening are wrong.', 'Provided that either mothers nurse their children to sleep and then nurse on demand through the night or nightdresses have (part) hems, we know that those that suggest if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening are wrong.']
|
The claim that helps prevent maturity-onset diabetes and is an essential part in the management of diabetes does not reflect reality. It is a fact that either gerenuks have (part) faces or if anger is one emotion that people use to respond to threat, stress, or loss, then information drives biochemistry, just as biochemistry underwrites information processing. On the condition that the notion that 'if gerenuks have (part) faces, then helps prevent maturity-onset diabetes and is an essential part in the management of diabetes' is untrue, it is definitely the case that heat cramps are painful muscle spasms in the arms, legs and mid-section. The statement that 'heat cramps are painful muscle spasms in the arms, legs and mid-section' is incorrect. Either one or both of these statements are true: extremes are hurtful and pain is the bodies way of telling the mind that it is in an extreme state, or if if anger is one emotion that people use to respond to threat, stress, or loss, then information drives biochemistry, just as biochemistry underwrites information processing, then the notion that 'if sustainability is the heart of all future product development, then some seizures involve several thousand animals' is untrue. Assuming any body position can cause discomfort and fatigue if it is maintained for long periods of time, we know that if extremes are hurtful and pain is the bodies way of telling the mind that it is in an extreme state, then if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening. The statement 'any body position can cause discomfort and fatigue if it is maintained for long periods of time' can be considered true. At least one of two things is true: emotional intimacy takes time to develop, or either mothers nurse their children to sleep and then nurse on demand through the night or nightdresses have (part) hems. Should it be the case that emotional intimacy takes time to develop, it follows that those that suggest if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening are wrong. Provided that either mothers nurse their children to sleep and then nurse on demand through the night or nightdresses have (part) hems, we know that those that suggest if older men wear robes or capes over tunics, then trees are invaluable for their filtration of noise and air pollutants, and for privacy screening are wrong.
|
The notion that 'if sustainability is the heart of all future product development, then some seizures involve several thousand animals' is untrue.
|
Assuming sustainability is the heart of all future product development, we know that some seizures involve several thousand animals.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).). [SC1-1]
Not [2].
Therefore, Not (If [0], then [1].)..
[SC1-1]
Constructive Dilemma:
Either [3] or (If [4], then [5].).
If [3], then [2]. [SC2-2]
If (If [4], then [5].), then (Not (If [0], then [1].).). [SC3-2]
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [2].).), then [7].
Not [7].
Therefore, If [3], then [2]..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If (If [4], then [5].), then (Not (If [0], then [1].).).).
Not [6]. [SC2-3]
Therefore, If (If [4], then [5].), then (Not (If [0], then [1].).)..
[SC2-3]
Modus Tonens:
If [6], then (If [8], then [9].). [SC1-4]
Not (If [8], then [9].). [SC2-4]
Therefore, Not [6]..
[SC1-4]
Modus Ponens:
If [13], then (If [6], then (If [8], then [9].).).
[13]
Therefore, If [6], then (If [8], then [9].)..
[SC2-4]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then (Not (If [8], then [9].).).
If (Either [11] or [12].), then (Not (If [8], then [9].).).
Therefore, Not (If [8], then [9].)..
|
{0: 'Sustainability is the heart of all future product development.', 1: 'Some seizures involve several thousand animals.', 2: 'Helps prevent maturity-onset diabetes and is an essential part in the management of diabetes.', 3: 'Gerenuks have (part) faces.', 4: 'Anger is one emotion that people use to respond to threat, stress, or loss.', 5: 'Information drives biochemistry, just as biochemistry underwrites information processing.', 6: 'Extremes are hurtful and pain is the bodies way of telling the mind that it is in an extreme state.', 7: 'Heat cramps are painful muscle spasms in the arms, legs and mid-section.', 8: 'Older men wear robes or capes over tunics.', 9: 'Trees are invaluable for their filtration of noise and air pollutants, and for privacy screening.', 10: 'Emotional intimacy takes time to develop.', 11: 'Mothers nurse their children to sleep and then nurse on demand through the night.', 12: 'Nightdresses have (part) hems.', 13: 'Any body position can cause discomfort and fatigue if it is maintained for long periods of time.'}
| 7 |
6,661 |
['Provided that it is a common misconception that if the claim that if chickens have interactive emotional states similar to humans, then fire protection falls into two main categories, prevention and protection has no merit, then trifles are pudding, we know that famine is an absolute lack of food affecting a large population for a long time period.', 'Once we know famine is an absolute lack of food affecting a large population for a long time period, we also know that either lavage is irrigation or mazes offer a choice of paths, some with many entrances and exits.', 'The claim that either lavage is irrigation or mazes offer a choice of paths, some with many entrances and exits is false.', 'On the condition that animal experiments can give dangerously misleading results that put human babies at risk, it is definitely the case that if trifles are pudding, then teeth have texture.', "Whenever it is true that integral calculus is used to find centers of gravity, centroids, and moments of inertia, 'the claim that teeth have texture does not reflect reality' is true.", 'It is rational to agree that integral calculus is used to find centers of gravity, centroids, and moments of inertia.', "Provided that the statement that 'animal experiments can give dangerously misleading results that put human babies at risk' is incorrect, we know that if science is done by the scientific method, then most adults follow vegetarian diets.", 'We know that the claim that if science is done by the scientific method, then most adults follow vegetarian diets is false.']
|
Provided that it is a common misconception that if the claim that if chickens have interactive emotional states similar to humans, then fire protection falls into two main categories, prevention and protection has no merit, then trifles are pudding, we know that famine is an absolute lack of food affecting a large population for a long time period. Once we know famine is an absolute lack of food affecting a large population for a long time period, we also know that either lavage is irrigation or mazes offer a choice of paths, some with many entrances and exits. The claim that either lavage is irrigation or mazes offer a choice of paths, some with many entrances and exits is false. On the condition that animal experiments can give dangerously misleading results that put human babies at risk, it is definitely the case that if trifles are pudding, then teeth have texture. Whenever it is true that integral calculus is used to find centers of gravity, centroids, and moments of inertia, 'the claim that teeth have texture does not reflect reality' is true. It is rational to agree that integral calculus is used to find centers of gravity, centroids, and moments of inertia. Provided that the statement that 'animal experiments can give dangerously misleading results that put human babies at risk' is incorrect, we know that if science is done by the scientific method, then most adults follow vegetarian diets. We know that the claim that if science is done by the scientific method, then most adults follow vegetarian diets is false.
|
On the condition that chickens have interactive emotional states similar to humans, it is definitely the case that fire protection falls into two main categories, prevention and protection.
|
On the condition that chickens have interactive emotional states similar to humans, it is definitely the case that fire protection falls into two main categories, prevention and protection.
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [4].
Not [4]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Modus Tonens:
If [4], then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Not [4]..
[SC2-1]
Modus Tonens:
If [2], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [8], then (If [2], then [3].).
[8] [SC2-3]
Therefore, If [2], then [3]..
[SC2-3]
Modus Tonens:
If (Not [8].), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, [8].
[SC2-2]
Modus Ponens:
If [5], then (Not [3].).
[5]
Therefore, Not [3]..
|
{0: 'Chickens have interactive emotional states similar to humans.', 1: 'Fire protection falls into two main categories, prevention and protection.', 2: 'Trifles are pudding.', 3: 'Teeth have texture.', 4: 'Famine is an absolute lack of food affecting a large population for a long time period.', 5: 'Integral calculus is used to find centers of gravity, centroids, and moments of inertia.', 6: 'Lavage is irrigation.', 7: 'Mazes offer a choice of paths, some with many entrances and exits.', 8: 'Animal experiments can give dangerously misleading results that put human babies at risk.', 9: 'Science is done by the scientific method.', 10: 'Most adults follow vegetarian diets.'}
| 7 |
6,379 |
['There is good reason to believe that either tapirs eat moss and only moss or borromean rings are three interlinked rings such that no two rings are linked.', "Whenever it is true that tapirs eat moss and only moss, 'either if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers or angiosperms are well known as being dependent on pollinators for fertilization and fruit production' is true.", 'One may reasonably assume that if borromean rings are three interlinked rings such that no two rings are linked, then either if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers or angiosperms are well known as being dependent on pollinators for fertilization and fruit production.', 'At least one of two things is true: some children use cameras, or if if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers, then most humans follow diets.', 'The claim that some children use cameras is false.', 'On the condition that late blight is a fungus causing diseases which affects potatoes and tomatoes, it is definitely the case that most humans follow diets.', 'There is good reason to believe that either auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants or if angiosperms are well known as being dependent on pollinators for fertilization and fruit production, then late blight is a fungus causing diseases which affects potatoes and tomatoes.', 'When auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants is true, it follows that it is not true that if lizards has-part claws, then fish eggs are kind of rubbery and they survive being scraped off just fine.', "Whenever it is true that silver halide is a compound of silver and halogens, 'if auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants, then if lizards has-part claws, then fish eggs are kind of rubbery and they survive being scraped off just fine' is true.", 'The claim that silver halide is a compound of silver and halogens is true.']
|
There is good reason to believe that either tapirs eat moss and only moss or borromean rings are three interlinked rings such that no two rings are linked. Whenever it is true that tapirs eat moss and only moss, 'either if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers or angiosperms are well known as being dependent on pollinators for fertilization and fruit production' is true. One may reasonably assume that if borromean rings are three interlinked rings such that no two rings are linked, then either if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers or angiosperms are well known as being dependent on pollinators for fertilization and fruit production. At least one of two things is true: some children use cameras, or if if floodplains typically support important riparian ecosystems and a variety of associated wildlife, then japanese irises have flowers, then most humans follow diets. The claim that some children use cameras is false. On the condition that late blight is a fungus causing diseases which affects potatoes and tomatoes, it is definitely the case that most humans follow diets. There is good reason to believe that either auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants or if angiosperms are well known as being dependent on pollinators for fertilization and fruit production, then late blight is a fungus causing diseases which affects potatoes and tomatoes. When auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants is true, it follows that it is not true that if lizards has-part claws, then fish eggs are kind of rubbery and they survive being scraped off just fine. Whenever it is true that silver halide is a compound of silver and halogens, 'if auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants, then if lizards has-part claws, then fish eggs are kind of rubbery and they survive being scraped off just fine' is true. The claim that silver halide is a compound of silver and halogens is true.
|
It is reasonable to believe that most humans follow diets.
|
The notion that 'most humans follow diets' is untrue.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either (If [1], then [2].) or [3].).
If [6], then (Either (If [1], then [2].) or [3].).
Therefore, Either (If [1], then [2].) or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [7] or (If (If [1], then [2].), then [0].).
Not [7].
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Hypothetical Syllogism:
If [3], then [4]. [SC1-2]
If [4], then [0].
Therefore, If [3], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If [3], then [4].).
Not [8]. [SC2-3]
Therefore, If [3], then [4]..
[SC2-3]
Reductio Ad Absurdum:
If [8], then (If [9], then [10].). [SC1-4]
If [8], then (Not (If [9], then [10].).).
Therefore, Not [8]..
[SC1-4]
Modus Ponens:
If [11], then (If [8], then (If [9], then [10].).).
[11]
Therefore, If [8], then (If [9], then [10].)..
|
{0: 'Most humans follow diets.', 1: 'Floodplains typically support important riparian ecosystems and a variety of associated wildlife.', 2: 'Japanese irises have flowers.', 3: 'Angiosperms are well known as being dependent on pollinators for fertilization and fruit production.', 4: 'Late blight is a fungus causing diseases which affects potatoes and tomatoes.', 5: 'Tapirs eat moss and only moss.', 6: 'Borromean rings are three interlinked rings such that no two rings are linked.', 7: 'Some children use cameras.', 8: 'Auxins are organic acids which are synthesized by the living protoplasm in certain parts of plants.', 9: 'Lizards has-part claws.', 10: 'Fish eggs are kind of rubbery and they survive being scraped off just fine.', 11: 'Silver halide is a compound of silver and halogens.'}
| 7 |
6,625 |
['Should it be the case that atomic hydrogen is composed of an electron electrically bound to a proton forming neutral hydrogen, it follows that amphibians are the only group of vertebrates that undergo metamorphosis during their lifetime.', 'It is a fact that either most people gain weight when sibutramine is discontinued unless eating behaviors are changed or if it is a common misconception that atomic hydrogen is composed of an electron electrically bound to a proton forming neutral hydrogen, then some prophecies are self-fulfilling.', 'Those that suggest most people gain weight when sibutramine is discontinued unless eating behaviors are changed are wrong.', 'It is a fact that either some horses live in habitats or single parents bear both financial and psychic burdens.', 'Should it be the case that single parents bear both financial and psychic burdens, it follows that if writing is one of the greatest inventions of the human species , then we know that the claim that some prophecies are self-fulfilling is false.', "Whenever it is true that scientists link radiation and cancer, 'writing is one of the greatest inventions of the human species ' is true.", 'It is fair to say that scientists link radiation and cancer.', 'Given that those that suggest if some horses live in habitats, then if writing is one of the greatest inventions of the human species , then we know that the claim that some prophecies are self-fulfilling is false are wrong, it can be inferred that gels are located in refrigerators.', 'Some people mistakenly believe that gels are located in refrigerators.']
|
Should it be the case that atomic hydrogen is composed of an electron electrically bound to a proton forming neutral hydrogen, it follows that amphibians are the only group of vertebrates that undergo metamorphosis during their lifetime. It is a fact that either most people gain weight when sibutramine is discontinued unless eating behaviors are changed or if it is a common misconception that atomic hydrogen is composed of an electron electrically bound to a proton forming neutral hydrogen, then some prophecies are self-fulfilling. Those that suggest most people gain weight when sibutramine is discontinued unless eating behaviors are changed are wrong. It is a fact that either some horses live in habitats or single parents bear both financial and psychic burdens. Should it be the case that single parents bear both financial and psychic burdens, it follows that if writing is one of the greatest inventions of the human species , then we know that the claim that some prophecies are self-fulfilling is false. Whenever it is true that scientists link radiation and cancer, 'writing is one of the greatest inventions of the human species ' is true. It is fair to say that scientists link radiation and cancer. Given that those that suggest if some horses live in habitats, then if writing is one of the greatest inventions of the human species , then we know that the claim that some prophecies are self-fulfilling is false are wrong, it can be inferred that gels are located in refrigerators. Some people mistakenly believe that gels are located in refrigerators.
|
The statement 'amphibians are the only group of vertebrates that undergo metamorphosis during their lifetime' is true.
|
Amphibians live in regions.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not [1].), then [2].).
Not [4].
Therefore, If (Not [1].), then [2]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then (Not [2].).). [SC2-4]
If [7], then (If [3], then (Not [2].).).
Therefore, If [3], then (Not [2].)..
[SC2-4]
Modus Tonens:
If (Not (If [6], then (If [3], then (Not [2].).).).), then [8].
Not [8].
Therefore, If [6], then (If [3], then (Not [2].).)..
[SC2-3]
Modus Ponens:
If [5], then [3].
[5]
Therefore, [3].
|
{0: 'Amphibians are the only group of vertebrates that undergo metamorphosis during their lifetime.', 1: 'Atomic hydrogen is composed of an electron electrically bound to a proton forming neutral hydrogen.', 2: 'Some prophecies are self-fulfilling.', 3: 'Writing is one of the greatest inventions of the human species .', 4: 'Most people gain weight when sibutramine is discontinued unless eating behaviors are changed.', 5: 'Scientists link radiation and cancer.', 6: 'Some horses live in habitats.', 7: 'Single parents bear both financial and psychic burdens.', 8: 'Gels are located in refrigerators.'}
| 7 |
6,603 |
["The claim that either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference does not correspond with reality.", "So long as the notion that 'if it is not true that either either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference or the claim that rabbits seek habitats does not correspond with reality, then mail are little rings that are attached to each other' is untrue, 'most male babirusas have canine teeth' is true.", "Assuming the notion that 'if it is not true that either either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference or the claim that rabbits seek habitats does not correspond with reality, then mail are little rings that are attached to each other' is untrue, we know that the claim that most male babirusas have canine teeth does not reflect reality.", 'It is rational to believe that either a laundry basket is a hamper or cats appear to be less affected by TBDs than dogs.', 'One may reasonably assume that if a laundry basket is a hamper, then young trees grow rapidly and require staking for first two or three years.', 'Assuming cats appear to be less affected by TBDs than dogs, we know that the claim that mail are little rings that are attached to each other has no merit.', 'It is the case that true hypoglycemia is rare except with diabetes and usually occurs with insulin treatment.', 'On the condition that waves make patterns, it is definitely the case that if true hypoglycemia is rare except with diabetes and usually occurs with insulin treatment, then the statement that states young trees grow rapidly and require staking for first two or three years is false.', 'It is reasonable to believe that waves make patterns.']
|
The claim that either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference does not correspond with reality. So long as the notion that 'if it is not true that either either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference or the claim that rabbits seek habitats does not correspond with reality, then mail are little rings that are attached to each other' is untrue, 'most male babirusas have canine teeth' is true. Assuming the notion that 'if it is not true that either either most clay minerals give off an 'earthy' smell when wet or some artists create art to make a living, but others create art to make a difference or the claim that rabbits seek habitats does not correspond with reality, then mail are little rings that are attached to each other' is untrue, we know that the claim that most male babirusas have canine teeth does not reflect reality. It is rational to believe that either a laundry basket is a hamper or cats appear to be less affected by TBDs than dogs. One may reasonably assume that if a laundry basket is a hamper, then young trees grow rapidly and require staking for first two or three years. Assuming cats appear to be less affected by TBDs than dogs, we know that the claim that mail are little rings that are attached to each other has no merit. It is the case that true hypoglycemia is rare except with diabetes and usually occurs with insulin treatment. On the condition that waves make patterns, it is definitely the case that if true hypoglycemia is rare except with diabetes and usually occurs with insulin treatment, then the statement that states young trees grow rapidly and require staking for first two or three years is false. It is reasonable to believe that waves make patterns.
|
The claim that rabbits seek habitats does not correspond with reality.
|
The statement that states rabbits molt twice each year, but remain the same general color is false.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).), then [5].
If (Not (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).), then (Not [5].).
Therefore, If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [4].
If [7], then (Not [3].).
Therefore, Either [4] or (Not [3].)..
[SC2-3]
Modus Ponens:
If [8], then (Not [4].). [SC1-4]
[8]
Therefore, Not [4]..
[SC1-4]
Modus Ponens:
If [9], then (If [8], then (Not [4].).).
[9]
Therefore, If [8], then (Not [4].)..
|
{0: 'Rabbits seek habitats.', 1: "Most clay minerals give off an 'earthy' smell when wet.", 2: 'Some artists create art to make a living, but others create art to make a difference.', 3: 'Mail are little rings that are attached to each other.', 4: 'Young trees grow rapidly and require staking for first two or three years.', 5: 'Most male babirusas have canine teeth.', 6: 'A laundry basket is a hamper.', 7: 'Cats appear to be less affected by TBDs than dogs.', 8: 'True hypoglycemia is rare except with diabetes and usually occurs with insulin treatment.', 9: 'Waves make patterns.'}
| 7 |
6,092 |
['The claim that ball pythons have reproductive life is true.', 'If the statement, if ball pythons have reproductive life, then either many community gardens have very acidic soils that result in reduced production or filming are photography, does not hold, then if blinkers are visual signals, then ticks live in the shrubby understory of the forest.', 'Some people mistakenly believe that lionesses hunting in a group can throw a giraffe off balance.', "So long as livestock grazes on pasture, 'the claim that if blinkers are visual signals, then ticks live in the shrubby understory of the forest is false' is true.", "Provided that the notion that 'if the notion that 'if either many community gardens have very acidic soils that result in reduced production or filming are photography, then if many cultures reject the American emphasis on individual rights, then ecstasy is a drug emerging as a favorite among today's youth' is untrue, then lionesses hunting in a group can throw a giraffe off balance' is untrue, we know that most individuals develop identities.", 'The claim that most individuals develop identities does not correspond with reality.', 'There is good reason to believe that either several different calculations use approaches or if the statement, if ball pythons have reproductive life, then either many community gardens have very acidic soils that result in reduced production or filming are photography, does not hold, then livestock grazes on pasture.', 'Some people mistakenly believe that several different calculations use approaches.']
|
The claim that ball pythons have reproductive life is true. If the statement, if ball pythons have reproductive life, then either many community gardens have very acidic soils that result in reduced production or filming are photography, does not hold, then if blinkers are visual signals, then ticks live in the shrubby understory of the forest. Some people mistakenly believe that lionesses hunting in a group can throw a giraffe off balance. So long as livestock grazes on pasture, 'the claim that if blinkers are visual signals, then ticks live in the shrubby understory of the forest is false' is true. Provided that the notion that 'if the notion that 'if either many community gardens have very acidic soils that result in reduced production or filming are photography, then if many cultures reject the American emphasis on individual rights, then ecstasy is a drug emerging as a favorite among today's youth' is untrue, then lionesses hunting in a group can throw a giraffe off balance' is untrue, we know that most individuals develop identities. The claim that most individuals develop identities does not correspond with reality. There is good reason to believe that either several different calculations use approaches or if the statement, if ball pythons have reproductive life, then either many community gardens have very acidic soils that result in reduced production or filming are photography, does not hold, then livestock grazes on pasture. Some people mistakenly believe that several different calculations use approaches.
|
Given that many cultures reject the American emphasis on individual rights, it can be inferred that ecstasy is a drug emerging as a favorite among today's youth.
|
If many cultures reject the American emphasis on individual rights, then ecstasy comes in capsules or in a powder form which can be inhaled or injected.
|
Uncertain
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If [2], then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then (If [0], then [1].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Either [3] or [4].).).), then (If [5], then [6].).
If (Not (If [2], then (Either [3] or [4].).).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If [2], then (Either [3] or [4].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [2], then (Either [3] or [4].).).), then [8]. [SC1-4]
If [8], then (Not (If [5], then [6].).).
Therefore, If (Not (If [2], then (Either [3] or [4].).).), then (Not (If [5], then [6].).)..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If (Not (If [2], then (Either [3] or [4].).).), then [8].).
Not [10].
Therefore, If (Not (If [2], then (Either [3] or [4].).).), then [8]..
[SC2-2]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (If [0], then [1].).).), then [7]. [SC1-3]
Not [7].
Therefore, If (Either [3] or [4].), then (If [0], then [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Either [3] or [4].), then (If [0], then [1].).).), then [7].).), then [9].
Not [9].
Therefore, If (Not (If (Either [3] or [4].), then (If [0], then [1].).).), then [7]..
|
{0: 'Many cultures reject the American emphasis on individual rights.', 1: "Ecstasy is a drug emerging as a favorite among today's youth.", 2: 'Ball pythons have reproductive life.', 3: 'Many community gardens have very acidic soils that result in reduced production.', 4: 'Filming are photography.', 5: 'Blinkers are visual signals.', 6: 'Ticks live in the shrubby understory of the forest.', 7: 'Lionesses hunting in a group can throw a giraffe off balance.', 8: 'Livestock grazes on pasture.', 9: 'Most individuals develop identities.', 10: 'Several different calculations use approaches.'}
| 7 |
6,451 |
['Should it be the case that sodium carbonate is ionic compounds, it follows that colorectal cancers are highly treatable when diagnosed in the earliest stages.', 'Should it be the case that if binary fission occurs under favourable environmental conditions, then most venom is produced by glands, it follows that iron pyrite is the most common sulfide found in coal mines.', 'When iron pyrite is the most common sulfide found in coal mines is true, it follows that either a hop is a jumping or sodium carbonate is ionic compounds.', 'It is rational to believe that either opportunistic crime occurs when security awareness and crime prevention fall by the wayside or if binary fission occurs under favourable environmental conditions, then most venom is produced by glands.', 'The claim that opportunistic crime occurs when security awareness and crime prevention fall by the wayside does not correspond with reality.', 'Provided that it is not the case that if it is not true that if a hop is a jumping, then an extraterrestrial is imagination, then saiga antelope has long, thin legs but is similar in size to a sheep, we know that mites are also subject to fungal disease.', 'Some people mistakenly believe that mites are also subject to fungal disease.', "Whenever it is true that saiga antelope has long, thin legs but is similar in size to a sheep, 'drought affects life' is true.", 'The claim that drought affects life does not reflect reality.']
|
Should it be the case that sodium carbonate is ionic compounds, it follows that colorectal cancers are highly treatable when diagnosed in the earliest stages. Should it be the case that if binary fission occurs under favourable environmental conditions, then most venom is produced by glands, it follows that iron pyrite is the most common sulfide found in coal mines. When iron pyrite is the most common sulfide found in coal mines is true, it follows that either a hop is a jumping or sodium carbonate is ionic compounds. It is rational to believe that either opportunistic crime occurs when security awareness and crime prevention fall by the wayside or if binary fission occurs under favourable environmental conditions, then most venom is produced by glands. The claim that opportunistic crime occurs when security awareness and crime prevention fall by the wayside does not correspond with reality. Provided that it is not the case that if it is not true that if a hop is a jumping, then an extraterrestrial is imagination, then saiga antelope has long, thin legs but is similar in size to a sheep, we know that mites are also subject to fungal disease. Some people mistakenly believe that mites are also subject to fungal disease. Whenever it is true that saiga antelope has long, thin legs but is similar in size to a sheep, 'drought affects life' is true. The claim that drought affects life does not reflect reality.
|
It is rational to believe that either an extraterrestrial is imagination or colorectal cancers are highly treatable when diagnosed in the earliest stages.
|
We know that at least one of two things is true: an extraterrestrial is imagination, or colorectal cancer is a given.
|
Uncertain
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1].
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (Either [2] or [3].). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, Either [2] or [3]..
[SC1-2]
Hypothetical Syllogism:
If (If [4], then [5].), then [10].
If [10], then (Either [2] or [3].).
Therefore, If (If [4], then [5].), then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If [4], then [5].).
Not [9].
Therefore, If [4], then [5]..
[SC2-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [6]. [SC1-2]
Not [6]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then [6].).), then [8].
Not [8].
Therefore, If (Not (If [2], then [0].).), then [6]..
[SC2-2]
Modus Tonens:
If [6], then [7].
Not [7].
Therefore, Not [6]..
|
{0: 'An extraterrestrial is imagination.', 1: 'Colorectal cancers are highly treatable when diagnosed in the earliest stages.', 2: 'A hop is a jumping.', 3: 'Sodium carbonate is ionic compounds.', 4: 'Binary fission occurs under favourable environmental conditions.', 5: 'Most venom is produced by glands.', 6: 'Saiga antelope has long, thin legs but is similar in size to a sheep.', 7: 'Drought affects life.', 8: 'Mites are also subject to fungal disease.', 9: 'Opportunistic crime occurs when security awareness and crime prevention fall by the wayside.', 10: 'Iron pyrite is the most common sulfide found in coal mines.'}
| 7 |
6,652 |
['When adequate nitrogen ensures that nitrogen is present for production of new leaves is true, it follows that involvement is a way to help the community, meet people and learn leadership skills.', 'If a ghost town is a town, then involvement is a way to help the community, meet people and learn leadership skills.', 'Provided that we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, we know that some people mistakenly believe that maps include information.', 'If lynxes have eyes, then if we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, then maps include information.', 'On the condition that the claim that either lynxes have eyes or many primates are also omnivores, including mankind does not correspond with reality, it is definitely the case that different animals require conditions.', "So long as either camels differ from ruminants in several ways or a townie is an occupant, 'if many primates are also omnivores, including mankind, then if we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, then maps include information' is true.", "Either one or both of these statements are true: either most diseases are also subject to environmental influences or flotation therapy is a powerful relaxation inducer, or the notion that 'different animals require conditions' is untrue.", 'We know that the claim that either most diseases are also subject to environmental influences or flotation therapy is a powerful relaxation inducer is false.', 'One may reasonably assume that if new sporophytes can also arise vegetatively from the perennial rhizome, then either camels differ from ruminants in several ways or a townie is an occupant.', 'The claim that new sporophytes can also arise vegetatively from the perennial rhizome is true.']
|
When adequate nitrogen ensures that nitrogen is present for production of new leaves is true, it follows that involvement is a way to help the community, meet people and learn leadership skills. If a ghost town is a town, then involvement is a way to help the community, meet people and learn leadership skills. Provided that we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, we know that some people mistakenly believe that maps include information. If lynxes have eyes, then if we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, then maps include information. On the condition that the claim that either lynxes have eyes or many primates are also omnivores, including mankind does not correspond with reality, it is definitely the case that different animals require conditions. So long as either camels differ from ruminants in several ways or a townie is an occupant, 'if many primates are also omnivores, including mankind, then if we know that the claim that either adequate nitrogen ensures that nitrogen is present for production of new leaves or a ghost town is a town is false, then maps include information' is true. Either one or both of these statements are true: either most diseases are also subject to environmental influences or flotation therapy is a powerful relaxation inducer, or the notion that 'different animals require conditions' is untrue. We know that the claim that either most diseases are also subject to environmental influences or flotation therapy is a powerful relaxation inducer is false. One may reasonably assume that if new sporophytes can also arise vegetatively from the perennial rhizome, then either camels differ from ruminants in several ways or a townie is an occupant. The claim that new sporophytes can also arise vegetatively from the perennial rhizome is true.
|
Many people rightly believe that involvement is a way to help the community, meet people and learn leadership skills.
|
Involvement is the free expression of ideas.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [3].).
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Not (Either [1] or [2].).), then [3].).
If [5], then (If (Not (Either [1] or [2].).), then [3].). [SC3-3]
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or [5].).), then [6].
Not [6]. [SC2-4]
Therefore, Either [4] or [5]..
[SC2-4]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (Not [6].).
Not (Either [9] or [10].).
Therefore, Not [6]..
[SC3-3]
Modus Ponens:
If (Either [7] or [8].), then (If [5], then (If (Not (Either [1] or [2].).), then [3].).).
Either [7] or [8]. [SC2-4]
Therefore, If [5], then (If (Not (Either [1] or [2].).), then [3].)..
[SC2-4]
Modus Ponens:
If [11], then (Either [7] or [8].).
[11]
Therefore, Either [7] or [8]..
|
{0: 'Involvement is a way to help the community, meet people and learn leadership skills.', 1: 'Adequate nitrogen ensures that nitrogen is present for production of new leaves.', 2: 'A ghost town is a town.', 3: 'Maps include information.', 4: 'Lynxes have eyes.', 5: 'Many primates are also omnivores, including mankind.', 6: 'Different animals require conditions.', 7: 'Camels differ from ruminants in several ways.', 8: 'A townie is an occupant.', 9: 'Most diseases are also subject to environmental influences.', 10: 'Flotation therapy is a powerful relaxation inducer.', 11: 'New sporophytes can also arise vegetatively from the perennial rhizome.'}
| 7 |
6,822 |
['Given that jewelers have (part) material bodies, it can be inferred that the statement that states either ethanol is derived from corn and is used an additive in gasoline or adequate fluids are very important for child athletes is false.', "So long as if most frogs have protrude eyes, then fission means splitting a big nucleus into smaller nuclei, 'slime molds are single multinuclear cells' is true.", "So long as most frogs have protrude eyes, 'fission means splitting a big nucleus into smaller nuclei' is true.", 'Some people mistakenly believe that if surge protectors prevent electronics from being damaged by power surges produced by storms, then chocolates have a tendency to fade badly, especially if exposed to sunlight.', 'It is a fact that either keen eyesights play major roles or whale sharks are quite common, and an absolute pleasure to see.', 'Assuming keen eyesights play major roles, we know that those that suggest inventions cause growth are wrong.', 'If whale sharks are quite common, and an absolute pleasure to see, then those that suggest inventions cause growth are wrong.', "Whenever it is true that we know that the claim that if those that suggest if some people mistakenly believe that if slime molds are single multinuclear cells, then jewelers have (part) material bodies, then inventions cause growth are wrong, then if surge protectors prevent electronics from being damaged by power surges produced by storms, then chocolates have a tendency to fade badly, especially if exposed to sunlight is false, 'an asterism is a star' is true.", 'It is not true that an asterism is a star.']
|
Given that jewelers have (part) material bodies, it can be inferred that the statement that states either ethanol is derived from corn and is used an additive in gasoline or adequate fluids are very important for child athletes is false. So long as if most frogs have protrude eyes, then fission means splitting a big nucleus into smaller nuclei, 'slime molds are single multinuclear cells' is true. So long as most frogs have protrude eyes, 'fission means splitting a big nucleus into smaller nuclei' is true. Some people mistakenly believe that if surge protectors prevent electronics from being damaged by power surges produced by storms, then chocolates have a tendency to fade badly, especially if exposed to sunlight. It is a fact that either keen eyesights play major roles or whale sharks are quite common, and an absolute pleasure to see. Assuming keen eyesights play major roles, we know that those that suggest inventions cause growth are wrong. If whale sharks are quite common, and an absolute pleasure to see, then those that suggest inventions cause growth are wrong. Whenever it is true that we know that the claim that if those that suggest if some people mistakenly believe that if slime molds are single multinuclear cells, then jewelers have (part) material bodies, then inventions cause growth are wrong, then if surge protectors prevent electronics from being damaged by power surges produced by storms, then chocolates have a tendency to fade badly, especially if exposed to sunlight is false, 'an asterism is a star' is true. It is not true that an asterism is a star.
|
The statement that states either ethanol is derived from corn and is used an additive in gasoline or adequate fluids are very important for child athletes is false.
|
The statement, ethanol is an oxygenate, a substance that adds oxygen to gasoline to make it burn more cleanly, does not hold.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then (Not (Either [0] or [1].).).
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Modus Tonens:
If (Not (If [2], then [3].).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If [2], then [3]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then [3].).), then [6].).), then (If [9], then [10].). [SC1-4]
Not (If [9], then [10].).
Therefore, If (Not (If [2], then [3].).), then [6]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [3].).), then [6].).), then (If [9], then [10].).).), then [11].
Not [11].
Therefore, If (Not (If (Not (If [2], then [3].).), then [6].).), then (If [9], then [10].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].).
Therefore, Not [6]..
[SC2-1]
Modus Ponens:
If (If [4], then [5].), then [2].
If [4], then [5].
Therefore, [2].
|
{0: 'Ethanol is derived from corn and is used an additive in gasoline.', 1: 'Adequate fluids are very important for child athletes.', 2: 'Slime molds are single multinuclear cells.', 3: 'Jewelers have (part) material bodies.', 4: 'Most frogs have protrude eyes.', 5: 'Fission means splitting a big nucleus into smaller nuclei.', 6: 'Inventions cause growth.', 7: 'Keen eyesights play major roles.', 8: 'Whale sharks are quite common, and an absolute pleasure to see.', 9: 'Surge protectors prevent electronics from being damaged by power surges produced by storms.', 10: 'Chocolates have a tendency to fade badly, especially if exposed to sunlight.', 11: 'An asterism is a star.'}
| 7 |
6,855 |
['One may reasonably assume that if the claim that if some people mistakenly believe that most pecan trees attain large size, then aphids tend to congregate on new plant growth has no merit, then if jobs are people, then salamanders have flat heads.', 'The idea that some pines have needles in groups of three is true.', "One may reasonably assume that if the statement that states if the claim that if some people mistakenly believe that most pecan trees attain large size, then aphids tend to congregate on new plant growth has no merit, then the statement that 'if jobs are people, then salamanders have flat heads' is incorrect is false, then bolivia has the second highest percentage of people living in poverty in the Western Hemisphere.", "On the condition that the statement 'if some pines have needles in groups of three, then the statement, aphids tend to congregate on new plant growth, does not hold' can be considered false, it is definitely the case that spider monkeys exhibit variation.", 'It is a fact that either megabats are mammals or aphids have piercing-sucking mouthparts, and feed on juices of host plants.', 'Assuming megabats are mammals, we know that the statement, bolivia has the second highest percentage of people living in poverty in the Western Hemisphere, does not hold.', 'When aphids have piercing-sucking mouthparts, and feed on juices of host plants is true, it follows that the statement, bolivia has the second highest percentage of people living in poverty in the Western Hemisphere, does not hold.', "When spider monkeys exhibit variation is true, it follows that if bloomers are a woman's attire of loose trousers gathered at the knee, then endoplasmic reticulums are organelles.", "The claim that if bloomers are a woman's attire of loose trousers gathered at the knee, then endoplasmic reticulums are organelles has no merit."]
|
One may reasonably assume that if the claim that if some people mistakenly believe that most pecan trees attain large size, then aphids tend to congregate on new plant growth has no merit, then if jobs are people, then salamanders have flat heads. The idea that some pines have needles in groups of three is true. One may reasonably assume that if the statement that states if the claim that if some people mistakenly believe that most pecan trees attain large size, then aphids tend to congregate on new plant growth has no merit, then the statement that 'if jobs are people, then salamanders have flat heads' is incorrect is false, then bolivia has the second highest percentage of people living in poverty in the Western Hemisphere. On the condition that the statement 'if some pines have needles in groups of three, then the statement, aphids tend to congregate on new plant growth, does not hold' can be considered false, it is definitely the case that spider monkeys exhibit variation. It is a fact that either megabats are mammals or aphids have piercing-sucking mouthparts, and feed on juices of host plants. Assuming megabats are mammals, we know that the statement, bolivia has the second highest percentage of people living in poverty in the Western Hemisphere, does not hold. When aphids have piercing-sucking mouthparts, and feed on juices of host plants is true, it follows that the statement, bolivia has the second highest percentage of people living in poverty in the Western Hemisphere, does not hold. When spider monkeys exhibit variation is true, it follows that if bloomers are a woman's attire of loose trousers gathered at the knee, then endoplasmic reticulums are organelles. The claim that if bloomers are a woman's attire of loose trousers gathered at the knee, then endoplasmic reticulums are organelles has no merit.
|
The statement 'most pecan trees attain large size' can be considered true.
|
The statement 'most pecan trees attain large size' can be considered true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then (If [3], then [4].).
If (Not (If (Not [0].), then [1].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not (If [3], then [4].).).).), then [5].
Not [5]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not (If [3], then [4].).)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [5].).
If [10], then (Not [5].).
Therefore, Not [5]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [6].
Not [6]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Modus Tonens:
If [6], then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, Not [6]..
|
{0: 'Most pecan trees attain large size.', 1: 'Aphids tend to congregate on new plant growth.', 2: 'Some pines have needles in groups of three.', 3: 'Jobs are people.', 4: 'Salamanders have flat heads.', 5: 'Bolivia has the second highest percentage of people living in poverty in the Western Hemisphere.', 6: 'Spider monkeys exhibit variation.', 7: "Bloomers are a woman's attire of loose trousers gathered at the knee.", 8: 'Endoplasmic reticulums are organelles.', 9: 'Megabats are mammals.', 10: 'Aphids have piercing-sucking mouthparts, and feed on juices of host plants.'}
| 7 |
6,390 |
['There is good reason to believe that either villagers have kids or either most fatty acids have an even number of carbon atoms and are broken down to acetate or if plants belong to taxonomic genus, then inflation is an economic device whereby each person earns more than the next.', 'On the condition that most fatty acids have an even number of carbon atoms and are broken down to acetate, it is definitely the case that mesophytes generally require a more or less continuous water supply.', 'It is rational to believe that either cities vary from region to region in the world or those that suggest villagers have kids are wrong.', 'The statement, cities vary from region to region in the world, does not hold.', 'some animals point ears.', 'Assuming some animals point ears, we know that most mothers keep babies.', 'Either one or both of these statements are true: current dogma holds that synapses are used exclusively for communication between neurons, or democracy requires functioning governance.', "Assuming current dogma holds that synapses are used exclusively for communication between neurons, we know that if most mothers keep babies, then the statement 'mesophytes generally require a more or less continuous water supply' can be considered false.", "So long as democracy requires functioning governance, 'if most mothers keep babies, then the statement 'mesophytes generally require a more or less continuous water supply' can be considered false' is true."]
|
There is good reason to believe that either villagers have kids or either most fatty acids have an even number of carbon atoms and are broken down to acetate or if plants belong to taxonomic genus, then inflation is an economic device whereby each person earns more than the next. On the condition that most fatty acids have an even number of carbon atoms and are broken down to acetate, it is definitely the case that mesophytes generally require a more or less continuous water supply. It is rational to believe that either cities vary from region to region in the world or those that suggest villagers have kids are wrong. The statement, cities vary from region to region in the world, does not hold. some animals point ears. Assuming some animals point ears, we know that most mothers keep babies. Either one or both of these statements are true: current dogma holds that synapses are used exclusively for communication between neurons, or democracy requires functioning governance. Assuming current dogma holds that synapses are used exclusively for communication between neurons, we know that if most mothers keep babies, then the statement 'mesophytes generally require a more or less continuous water supply' can be considered false. So long as democracy requires functioning governance, 'if most mothers keep babies, then the statement 'mesophytes generally require a more or less continuous water supply' can be considered false' is true.
|
Provided that plants belong to taxonomic genus, we know that inflation is an economic device whereby each person earns more than the next
|
It is not true that if plants belong to taxonomic genus, then inflation is an economic device whereby each person earns more than the next.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [2] or (If [0], then [1].).).
Not [3]. [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [3].).
Not [5].
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If [2], then [4].
Not [4]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Modus Ponens:
If [6], then (Not [4].). [SC1-3]
[6]
Therefore, Not [4]..
[SC1-3]
Hypothetical Syllogism:
If [6], then [7].
If [7], then (Not [4].). [SC2-4]
Therefore, If [6], then (Not [4].)..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Not [4].).).
If [9], then (If [7], then (Not [4].).).
Therefore, If [7], then (Not [4].)..
|
{0: 'Plants belong to taxonomic genus.', 1: 'Inflation is an economic device whereby each person earns more than the next.', 2: 'Most fatty acids have an even number of carbon atoms and are broken down to acetate.', 3: 'Villagers have kids.', 4: 'Mesophytes generally require a more or less continuous water supply.', 5: 'Cities vary from region to region in the world.', 6: 'Some animals point ears.', 7: 'Most mothers keep babies.', 8: 'Current dogma holds that synapses are used exclusively for communication between neurons.', 9: 'Democracy requires functioning governance.'}
| 7 |
6,577 |
["The statement 'energy is transfered by power' can be considered false.", "So long as the notion that 'if if fingerprints can cause data loss, then some syndromes cause dryness, then if the notion that 'chronic pain has a major impact on the emotional and physical health of an individual' is untrue, then energy is transfered by power' is untrue, 'it is not the case that a pentathlete is an athlete' is true.", "We know that at least one of two things is true: kinetic art combines the integration of real movement and electric light into the art object, or if the notion that 'if if fingerprints can cause data loss, then some syndromes cause dryness, then if the notion that 'chronic pain has a major impact on the emotional and physical health of an individual' is untrue, then energy is transfered by power' is untrue, then a pentathlete is an athlete.", 'The statement, kinetic art combines the integration of real movement and electric light into the art object, does not hold.', "Given that most foxes has-part feet, it can be inferred that if the statement 'if fingerprints can cause data loss, then some syndromes cause dryness' can be considered false, then modern mayflies look just the same as ancient mayflies.", 'Those that suggest most foxes has-part feet are right.', "Whenever it is true that malaria is caused by intraerythrocytic protozoan parasites belonging to Plasmodium spp, 'if the statement 'if fingerprints can cause data loss, then some syndromes cause dryness' can be considered false, then the notion that 'modern mayflies look just the same as ancient mayflies' is untrue' is true.", 'We can assume that malaria is caused by intraerythrocytic protozoan parasites belonging to Plasmodium spp.']
|
The statement 'energy is transfered by power' can be considered false. So long as the notion that 'if if fingerprints can cause data loss, then some syndromes cause dryness, then if the notion that 'chronic pain has a major impact on the emotional and physical health of an individual' is untrue, then energy is transfered by power' is untrue, 'it is not the case that a pentathlete is an athlete' is true. We know that at least one of two things is true: kinetic art combines the integration of real movement and electric light into the art object, or if the notion that 'if if fingerprints can cause data loss, then some syndromes cause dryness, then if the notion that 'chronic pain has a major impact on the emotional and physical health of an individual' is untrue, then energy is transfered by power' is untrue, then a pentathlete is an athlete. The statement, kinetic art combines the integration of real movement and electric light into the art object, does not hold. Given that most foxes has-part feet, it can be inferred that if the statement 'if fingerprints can cause data loss, then some syndromes cause dryness' can be considered false, then modern mayflies look just the same as ancient mayflies. Those that suggest most foxes has-part feet are right. Whenever it is true that malaria is caused by intraerythrocytic protozoan parasites belonging to Plasmodium spp, 'if the statement 'if fingerprints can cause data loss, then some syndromes cause dryness' can be considered false, then the notion that 'modern mayflies look just the same as ancient mayflies' is untrue' is true. We can assume that malaria is caused by intraerythrocytic protozoan parasites belonging to Plasmodium spp.
|
It is rational to agree that chronic pain has a major impact on the emotional and physical health of an individual.
|
The notion that 'chronic pain has a major impact on the emotional and physical health of an individual' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [2], then [3].), then (If (Not [0].), then [1].). [SC1-2]
If [2], then [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then (If (Not [0].), then [1].).).), then [5]. [SC1-3]
If (Not (If (If [2], then [3].), then (If (Not [0].), then [1].).).), then (Not [5].).
Therefore, If (If [2], then [3].), then (If (Not [0].), then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If (If [2], then [3].), then (If (Not [0].), then [1].).).), then [5].).
Not [8].
Therefore, If (Not (If (If [2], then [3].), then (If (Not [0].), then [1].).).), then [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [4]. [SC1-3]
If (Not (If [2], then [3].).), then (Not [4].). [SC2-3]
Therefore, If [2], then [3]..
[SC1-3]
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]
Modus Ponens:
If [6], then (If (Not (If [2], then [3].).), then (Not [4].).).
[6]
Therefore, If (Not (If [2], then [3].).), then (Not [4].)..
|
{0: 'Chronic pain has a major impact on the emotional and physical health of an individual.', 1: 'Energy is transfered by power.', 2: 'Fingerprints can cause data loss.', 3: 'Some syndromes cause dryness.', 4: 'Modern mayflies look just the same as ancient mayflies.', 5: 'A pentathlete is an athlete.', 6: 'Malaria is caused by intraerythrocytic protozoan parasites belonging to Plasmodium spp.', 7: 'Most foxes has-part feet.', 8: 'Kinetic art combines the integration of real movement and electric light into the art object.'}
| 7 |
6,985 |
['Once we know sediment is the largest pollutant by volume of Midwest surface waters, we also know that cats walk on paws.', 'Provided that it is not true that sediment is the largest pollutant by volume of Midwest surface waters, we know that the claim that vesper is a service is false.', "Whenever it is true that the statement 'either educational technology is more than the study of machines used in education or if it is not true that sediment is the largest pollutant by volume of Midwest surface waters, then vesper is a service' can be considered false, 'primary consumers are herbivores, or organisms that eat plants, algae or fungi' is true.", "If the statement 'either educational technology is more than the study of machines used in education or if it is not true that sediment is the largest pollutant by volume of Midwest surface waters, then vesper is a service' can be considered false, then the statement 'primary consumers are herbivores, or organisms that eat plants, algae or fungi' can be considered false.", 'We know that at least one of two things is true: physical time is known to beings only indirectly through the integration of finite durations, or snow is composed of small crystals of frozen water called snow crystals .', "Given that physical time is known to beings only indirectly through the integration of finite durations, it can be inferred that the statement 'educational technology is more than the study of machines used in education' can be considered false.", 'Those that suggest computers continually become quicker, more responsive, and more powerful are wrong.', 'There is good reason to believe that either if experiments are fundamental to the progress of science, then heavier atoms scatter more effectively or cover crops can also improve soil structure as roots and root exudates promote soil aggregation.', "If if experiments are fundamental to the progress of science, then heavier atoms scatter more effectively, then either computers continually become quicker, more responsive, and more powerful or if snow is composed of small crystals of frozen water called snow crystals , then the statement 'educational technology is more than the study of machines used in education' can be considered false.", "Should it be the case that cover crops can also improve soil structure as roots and root exudates promote soil aggregation, it follows that either computers continually become quicker, more responsive, and more powerful or if snow is composed of small crystals of frozen water called snow crystals , then the statement 'educational technology is more than the study of machines used in education' can be considered false."]
|
Once we know sediment is the largest pollutant by volume of Midwest surface waters, we also know that cats walk on paws. Provided that it is not true that sediment is the largest pollutant by volume of Midwest surface waters, we know that the claim that vesper is a service is false. Whenever it is true that the statement 'either educational technology is more than the study of machines used in education or if it is not true that sediment is the largest pollutant by volume of Midwest surface waters, then vesper is a service' can be considered false, 'primary consumers are herbivores, or organisms that eat plants, algae or fungi' is true. If the statement 'either educational technology is more than the study of machines used in education or if it is not true that sediment is the largest pollutant by volume of Midwest surface waters, then vesper is a service' can be considered false, then the statement 'primary consumers are herbivores, or organisms that eat plants, algae or fungi' can be considered false. We know that at least one of two things is true: physical time is known to beings only indirectly through the integration of finite durations, or snow is composed of small crystals of frozen water called snow crystals . Given that physical time is known to beings only indirectly through the integration of finite durations, it can be inferred that the statement 'educational technology is more than the study of machines used in education' can be considered false. Those that suggest computers continually become quicker, more responsive, and more powerful are wrong. There is good reason to believe that either if experiments are fundamental to the progress of science, then heavier atoms scatter more effectively or cover crops can also improve soil structure as roots and root exudates promote soil aggregation. If if experiments are fundamental to the progress of science, then heavier atoms scatter more effectively, then either computers continually become quicker, more responsive, and more powerful or if snow is composed of small crystals of frozen water called snow crystals , then the statement 'educational technology is more than the study of machines used in education' can be considered false. Should it be the case that cover crops can also improve soil structure as roots and root exudates promote soil aggregation, it follows that either computers continually become quicker, more responsive, and more powerful or if snow is composed of small crystals of frozen water called snow crystals , then the statement 'educational technology is more than the study of machines used in education' can be considered false.
|
The statement 'cats walk on paws' can be considered true.
|
The statement that 'cats walk on paws' is incorrect.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If (Not [1].), then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (Not [1].), then [2].).).), then [4].
If (Not (Either [3] or (If (Not [1].), then [2].).).), then (Not [4].).
Therefore, Either [3] or (If (Not [1].), then [2].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].). [SC3-4]
Therefore, Not [3]..
[SC3-4]
Disjunctive Syllogism:
Either [7] or (If [6], then (Not [3].).). [SC1-5]
Not [7].
Therefore, If [6], then (Not [3].)..
[SC1-5]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (Either [7] or (If [6], then (Not [3].).).).
If [10], then (Either [7] or (If [6], then (Not [3].).).).
Therefore, Either [7] or (If [6], then (Not [3].).)..
|
{0: 'Cats walk on paws.', 1: 'Sediment is the largest pollutant by volume of Midwest surface waters.', 2: 'Vesper is a service.', 3: 'Educational technology is more than the study of machines used in education.', 4: 'Primary consumers are herbivores, or organisms that eat plants, algae or fungi.', 5: 'Physical time is known to beings only indirectly through the integration of finite durations.', 6: 'Snow is composed of small crystals of frozen water called snow crystals .', 7: 'Computers continually become quicker, more responsive, and more powerful.', 8: 'Experiments are fundamental to the progress of science.', 9: 'Heavier atoms scatter more effectively.', 10: 'Cover crops can also improve soil structure as roots and root exudates promote soil aggregation.'}
| 7 |
6,422 |
['On the condition that we know that the claim that either chronic urticaria refers to hives that last more than six weeks or some synthetic micas have high thermal stability is false, it is definitely the case that if older parents have more time to spend with their children, then young men are more likely than young women to be lifetime abstainers.', "Should it be the case that we know that the claim that either chronic urticaria refers to hives that last more than six weeks or some synthetic micas have high thermal stability is false, it follows that the statement that 'if older parents have more time to spend with their children, then young men are more likely than young women to be lifetime abstainers' is incorrect.", 'Assuming accidents leave more children crippled than do diseases, we know that if chronic urticaria refers to hives that last more than six weeks, then summers are hot, even very hot.', "Whenever it is true that vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens, 'summers are hot, even very hot' is true.", "So long as the statement that 'either accidents leave more children crippled than do diseases or some aerosols are generated by growth' is incorrect, 'gizmos are emails containing packets of media that can be saved to a user's desktop' is true.", "On the condition that the statement that 'either accidents leave more children crippled than do diseases or some aerosols are generated by growth' is incorrect, it is definitely the case that it is not the case that gizmos are emails containing packets of media that can be saved to a user's desktop.", 'Should it be the case that the statement, if some aerosols are generated by growth, then if chronic urticaria refers to hives that last more than six weeks, then summers are hot, even very hot, does not hold, it follows that technology can simulate real-life environments and promote learning by doing.', "The statement that 'technology can simulate real-life environments and promote learning by doing' is incorrect.", "So long as those that suggest if some synthetic micas have high thermal stability, then vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens are wrong, 'most squirrels have natural predators' is true.", 'One may reasonably assume that if those that suggest if some synthetic micas have high thermal stability, then vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens are wrong, then the claim that most squirrels have natural predators does not reflect reality.']
|
On the condition that we know that the claim that either chronic urticaria refers to hives that last more than six weeks or some synthetic micas have high thermal stability is false, it is definitely the case that if older parents have more time to spend with their children, then young men are more likely than young women to be lifetime abstainers. Should it be the case that we know that the claim that either chronic urticaria refers to hives that last more than six weeks or some synthetic micas have high thermal stability is false, it follows that the statement that 'if older parents have more time to spend with their children, then young men are more likely than young women to be lifetime abstainers' is incorrect. Assuming accidents leave more children crippled than do diseases, we know that if chronic urticaria refers to hives that last more than six weeks, then summers are hot, even very hot. Whenever it is true that vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens, 'summers are hot, even very hot' is true. So long as the statement that 'either accidents leave more children crippled than do diseases or some aerosols are generated by growth' is incorrect, 'gizmos are emails containing packets of media that can be saved to a user's desktop' is true. On the condition that the statement that 'either accidents leave more children crippled than do diseases or some aerosols are generated by growth' is incorrect, it is definitely the case that it is not the case that gizmos are emails containing packets of media that can be saved to a user's desktop. Should it be the case that the statement, if some aerosols are generated by growth, then if chronic urticaria refers to hives that last more than six weeks, then summers are hot, even very hot, does not hold, it follows that technology can simulate real-life environments and promote learning by doing. The statement that 'technology can simulate real-life environments and promote learning by doing' is incorrect. So long as those that suggest if some synthetic micas have high thermal stability, then vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens are wrong, 'most squirrels have natural predators' is true. One may reasonably assume that if those that suggest if some synthetic micas have high thermal stability, then vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens are wrong, then the claim that most squirrels have natural predators does not reflect reality.
|
The idea that summers are hot, even very hot is true.
|
Summers can include long periods of hot, hot days.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (If [6], then [7].).
If (Not (Either [1] or [2].).), then (Not (If [6], then [7].).).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If [1], then [0].).
If [5], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [9].
If (Not (Either [4] or [5].).), then (Not [9].).
Therefore, Either [4] or [5]..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If [1], then [0].).).), then [10].
Not [10].
Therefore, If [5], then (If [1], then [0].)..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then [0].
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [8].
If (Not (If [2], then [3].).), then (Not [8].).
Therefore, If [2], then [3]..
|
{0: 'Summers are hot, even very hot.', 1: 'Chronic urticaria refers to hives that last more than six weeks.', 2: 'Some synthetic micas have high thermal stability.', 3: 'Vitamin E is found in nuts, seeds, whole grains, vegetable oils, egg yolks and leafy greens.', 4: 'Accidents leave more children crippled than do diseases.', 5: 'Some aerosols are generated by growth.', 6: 'Older parents have more time to spend with their children.', 7: 'Young men are more likely than young women to be lifetime abstainers.', 8: 'Most squirrels have natural predators.', 9: "Gizmos are emails containing packets of media that can be saved to a user's desktop.", 10: 'Technology can simulate real-life environments and promote learning by doing.'}
| 7 |
6,211 |
['It is a fact that either if developmental biology is at the core of all biology, then queen bees are queens or it is not the case that people give right answers.', 'On the condition that some people mistakenly believe that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then hummingbirds are a favorite with many bird watchers, it is definitely the case that human personality can only change as one matures in the Word of God.', 'The claim that human personality can only change as one matures in the Word of God is false.', 'Provided that the claim that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then the claim that hummingbirds are a favorite with many bird watchers is false does not correspond with reality, we know that pornography is a form of discrimination on the basis of sex.', 'Either representatives to provide information or we know that the claim that if developmental biology is at the core of all biology, then queen bees are queens is false.', 'The claim that representatives to provide information has no merit.', 'If the claim that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then the claim that hummingbirds are a favorite with many bird watchers is false does not correspond with reality, then hyperopia is diseases.', 'Assuming hyperopia is diseases, we know that those that suggest pornography is a form of discrimination on the basis of sex are wrong.']
|
It is a fact that either if developmental biology is at the core of all biology, then queen bees are queens or it is not the case that people give right answers. On the condition that some people mistakenly believe that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then hummingbirds are a favorite with many bird watchers, it is definitely the case that human personality can only change as one matures in the Word of God. The claim that human personality can only change as one matures in the Word of God is false. Provided that the claim that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then the claim that hummingbirds are a favorite with many bird watchers is false does not correspond with reality, we know that pornography is a form of discrimination on the basis of sex. Either representatives to provide information or we know that the claim that if developmental biology is at the core of all biology, then queen bees are queens is false. The claim that representatives to provide information has no merit. If the claim that if the statement that states either people give right answers or either ruts often deepen into graves or some anabolic steroids inhibit bone growth is false, then the claim that hummingbirds are a favorite with many bird watchers is false does not correspond with reality, then hyperopia is diseases. Assuming hyperopia is diseases, we know that those that suggest pornography is a form of discrimination on the basis of sex are wrong.
|
It is a fact that either ruts often deepen into graves or some anabolic steroids inhibit bone growth.
|
We know that at least one of two things is true: ruts are routine, or anabolic steroids can have very bad effects on the human body.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (Either [0] or [1].).).), then [3]. [SC1-2]
If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].). [SC2-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [2] or (Either [0] or [1].).).), then [3].).), then [6].
Not [6].
Therefore, If (Not (Either [2] or (Either [0] or [1].).).), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].).).), then [7].
If (Not (If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].).).), then (Not [7].). [SC2-3]
Therefore, If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].).).), then [9].
If [9], then (Not [7].).
Therefore, If (Not (If (Not (Either [2] or (Either [0] or [1].).).), then (Not [3].).).), then (Not [7].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Not [2].).
Not (If [4], then [5].). [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not (If [4], then [5].).).
Not [8].
Therefore, Not (If [4], then [5].)..
|
{0: 'Ruts often deepen into graves.', 1: 'Some anabolic steroids inhibit bone growth.', 2: 'People give right answers.', 3: 'Hummingbirds are a favorite with many bird watchers.', 4: 'Developmental biology is at the core of all biology.', 5: 'Queen bees are queens.', 6: 'Human personality can only change as one matures in the Word of God.', 7: 'Pornography is a form of discrimination on the basis of sex.', 8: 'Representatives to provide information.', 9: 'Hyperopia is diseases.'}
| 7 |
6,171 |
['It is rational to believe that either skim milk contains as much calcium as whole milk or sprouting seeds are very durable, as long as they are kept cool and dry.', 'Assuming sprouting seeds are very durable, as long as they are kept cool and dry, we know that either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions.', 'On the condition that skim milk contains as much calcium as whole milk, it is definitely the case that researchers study topics.', "Whenever it is true that those that suggest either mothers bring meat or if researchers study topics, then either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions are wrong, 'if japan is the only country in the world with which the United States has a trade deficit, then plagiarism is the theft of ideas without citing the source, and is taken very seriously' is true.", "It is rational to believe that either some factors affect health or the statement that 'mothers bring meat' is incorrect.", "The notion that 'some factors affect health' is untrue.", 'On the condition that surface mail is mail, it is definitely the case that the statement that states if japan is the only country in the world with which the United States has a trade deficit, then plagiarism is the theft of ideas without citing the source, and is taken very seriously is false.', 'There is good reason to believe that either giant green anemones have guts or either areas depend upon own circumstances or magnesium oxide is safer, more cost effective, and more efficient than other bases.', "Whenever it is true that giant green anemones have guts, 'surface mail is mail' is true.", 'Once we know either areas depend upon own circumstances or magnesium oxide is safer, more cost effective, and more efficient than other bases, we also know that surface mail is mail.']
|
It is rational to believe that either skim milk contains as much calcium as whole milk or sprouting seeds are very durable, as long as they are kept cool and dry. Assuming sprouting seeds are very durable, as long as they are kept cool and dry, we know that either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions. On the condition that skim milk contains as much calcium as whole milk, it is definitely the case that researchers study topics. Whenever it is true that those that suggest either mothers bring meat or if researchers study topics, then either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions are wrong, 'if japan is the only country in the world with which the United States has a trade deficit, then plagiarism is the theft of ideas without citing the source, and is taken very seriously' is true. It is rational to believe that either some factors affect health or the statement that 'mothers bring meat' is incorrect. The notion that 'some factors affect health' is untrue. On the condition that surface mail is mail, it is definitely the case that the statement that states if japan is the only country in the world with which the United States has a trade deficit, then plagiarism is the theft of ideas without citing the source, and is taken very seriously is false. There is good reason to believe that either giant green anemones have guts or either areas depend upon own circumstances or magnesium oxide is safer, more cost effective, and more efficient than other bases. Whenever it is true that giant green anemones have guts, 'surface mail is mail' is true. Once we know either areas depend upon own circumstances or magnesium oxide is safer, more cost effective, and more efficient than other bases, we also know that surface mail is mail.
|
Either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions.
|
The claim that either tiny vesicles are present over the surface or many conifers have leaves adapted for windy or low-moisture conditions does not reflect reality.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Either [0] or [1].). [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [4], then (Either [0] or [1].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [4], then (Either [0] or [1].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (If [4], then (Either [0] or [1].).).).), then (If [7], then [8].).
Not (If [7], then [8].). [SC2-4]
Therefore, Either [5] or (If [4], then (Either [0] or [1].).)..
[SC2-4]
Modus Ponens:
If [9], then (Not (If [7], then [8].).).
[9] [SC2-5]
Therefore, Not (If [7], then [8].)..
[SC2-5]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then [9].
If (Either [11] or [12].), then [9].
Therefore, [9].
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
|
{0: 'Tiny vesicles are present over the surface.', 1: 'Many conifers have leaves adapted for windy or low-moisture conditions.', 2: 'Skim milk contains as much calcium as whole milk.', 3: 'Sprouting seeds are very durable, as long as they are kept cool and dry.', 4: 'Researchers study topics.', 5: 'Mothers bring meat.', 6: 'Some factors affect health.', 7: 'Japan is the only country in the world with which the United States has a trade deficit.', 8: 'Plagiarism is the theft of ideas without citing the source, and is taken very seriously.', 9: 'Surface mail is mail.', 10: 'Giant green anemones have guts.', 11: 'Areas depend upon own circumstances.', 12: 'Magnesium oxide is safer, more cost effective, and more efficient than other bases.'}
| 7 |
6,165 |
['On the condition that if viruses can transfer genetic material between organisms, then mutilations are injuries, it is definitely the case that if genes carry the instructions for a trait, then macaws make excellent pets but are very loud.', 'It is rational to believe that either capital isa possession or if viruses can transfer genetic material between organisms, then mutilations are injuries.', "The statement that 'capital isa possession' is incorrect.", 'Should it be the case that domestic violence is far more than just spousal abuse, it follows that if if death occurs as a result of respiratory arrest, then judges have (part) arms, then the claim that macaws make excellent pets but are very loud has no merit.', 'On the condition that leaves can turn from green to red when temperatures dip to freezing, it is definitely the case that if if death occurs as a result of respiratory arrest, then judges have (part) arms, then the claim that macaws make excellent pets but are very loud has no merit.', 'At least one of two things is true: cells are microcosms of larger living systems, or scientific knowledge is founded in sensory observation.', 'Assuming cells are microcosms of larger living systems, we know that if death occurs as a result of respiratory arrest, then judges have (part) arms.', 'Given that scientific knowledge is founded in sensory observation, it can be inferred that if death occurs as a result of respiratory arrest, then judges have (part) arms.', 'It is rational to believe that either rectal suppositories are medicines that dissolve in the rectum and are absorbed by the body or some whales have numbers.', 'Given that rectal suppositories are medicines that dissolve in the rectum and are absorbed by the body, it can be inferred that either domestic violence is far more than just spousal abuse or leaves can turn from green to red when temperatures dip to freezing.', 'If some whales have numbers, then either domestic violence is far more than just spousal abuse or leaves can turn from green to red when temperatures dip to freezing.']
|
On the condition that if viruses can transfer genetic material between organisms, then mutilations are injuries, it is definitely the case that if genes carry the instructions for a trait, then macaws make excellent pets but are very loud. It is rational to believe that either capital isa possession or if viruses can transfer genetic material between organisms, then mutilations are injuries. The statement that 'capital isa possession' is incorrect. Should it be the case that domestic violence is far more than just spousal abuse, it follows that if if death occurs as a result of respiratory arrest, then judges have (part) arms, then the claim that macaws make excellent pets but are very loud has no merit. On the condition that leaves can turn from green to red when temperatures dip to freezing, it is definitely the case that if if death occurs as a result of respiratory arrest, then judges have (part) arms, then the claim that macaws make excellent pets but are very loud has no merit. At least one of two things is true: cells are microcosms of larger living systems, or scientific knowledge is founded in sensory observation. Assuming cells are microcosms of larger living systems, we know that if death occurs as a result of respiratory arrest, then judges have (part) arms. Given that scientific knowledge is founded in sensory observation, it can be inferred that if death occurs as a result of respiratory arrest, then judges have (part) arms. It is rational to believe that either rectal suppositories are medicines that dissolve in the rectum and are absorbed by the body or some whales have numbers. Given that rectal suppositories are medicines that dissolve in the rectum and are absorbed by the body, it can be inferred that either domestic violence is far more than just spousal abuse or leaves can turn from green to red when temperatures dip to freezing. If some whales have numbers, then either domestic violence is far more than just spousal abuse or leaves can turn from green to red when temperatures dip to freezing.
|
The statement that 'genes carry the instructions for a trait' is incorrect.
|
The claim that genes carry the instructions for a trait is true.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].).
If [2], then [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then [3].).
Not [6].
Therefore, If [2], then [3]..
[SC2-1]
Modus Ponens:
If (If [4], then [5].), then (Not [1].). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (If (If [4], then [5].), then (Not [1].).).
If [8], then (If (If [4], then [5].), then (Not [1].).).
Therefore, If (If [4], then [5].), then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Either [7] or [8].).
If [12], then (Either [7] or [8].).
Therefore, Either [7] or [8]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [4], then [5].).
If [10], then (If [4], then [5].).
Therefore, If [4], then [5]..
|
{0: 'Genes carry the instructions for a trait.', 1: 'Macaws make excellent pets but are very loud.', 2: 'Viruses can transfer genetic material between organisms.', 3: 'Mutilations are injuries.', 4: 'Death occurs as a result of respiratory arrest.', 5: 'Judges have (part) arms.', 6: 'Capital isa possession.', 7: 'Domestic violence is far more than just spousal abuse.', 8: 'Leaves can turn from green to red when temperatures dip to freezing.', 9: 'Cells are microcosms of larger living systems.', 10: 'Scientific knowledge is founded in sensory observation.', 11: 'Rectal suppositories are medicines that dissolve in the rectum and are absorbed by the body.', 12: 'Some whales have numbers.'}
| 7 |
6,238 |
['One may reasonably assume that if if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society, then laugher can stimulate heart and lungs.', 'When elephants stand on legs is true, it follows that if some bone cells are part of ankles, then laugher can stimulate heart and lungs.', 'It is rational to agree that elephants stand on legs.', "On the condition that the statement that 'if the statement that 'either some bone cells are part of ankles or if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society' is incorrect, then either artistic expression involves taking risks or spiny lobsters have tails' is incorrect, it is definitely the case that art has to do with inspiration, creativity and skill.", 'The statement, art has to do with inspiration, creativity and skill, does not hold.', "So long as some people mistakenly believe that if the statement that 'either some bone cells are part of ankles or if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society' is incorrect, then the notion that 'either artistic expression involves taking risks or spiny lobsters have tails' is untrue, 'either hamsters have feet or urine has unusual odor' is true.", 'If either hamsters have feet or urine has unusual odor, then it is a common misconception that infection occurs via zoospores which are released from sporangia.', 'One may reasonably assume that if the statement that states if either hamsters have feet or urine has unusual odor, then infection occurs via zoospores which are released from sporangia is false, then if calcium carbonate is an antacid, then folk magic is the magic of the common people, usually without elaborate ritual or preparation.', 'It is not true that if calcium carbonate is an antacid, then folk magic is the magic of the common people, usually without elaborate ritual or preparation.']
|
One may reasonably assume that if if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society, then laugher can stimulate heart and lungs. When elephants stand on legs is true, it follows that if some bone cells are part of ankles, then laugher can stimulate heart and lungs. It is rational to agree that elephants stand on legs. On the condition that the statement that 'if the statement that 'either some bone cells are part of ankles or if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society' is incorrect, then either artistic expression involves taking risks or spiny lobsters have tails' is incorrect, it is definitely the case that art has to do with inspiration, creativity and skill. The statement, art has to do with inspiration, creativity and skill, does not hold. So long as some people mistakenly believe that if the statement that 'either some bone cells are part of ankles or if caffeine causes the heart to pound by blocking the action of adenosine, then politicians are the power brokers of society' is incorrect, then the notion that 'either artistic expression involves taking risks or spiny lobsters have tails' is untrue, 'either hamsters have feet or urine has unusual odor' is true. If either hamsters have feet or urine has unusual odor, then it is a common misconception that infection occurs via zoospores which are released from sporangia. One may reasonably assume that if the statement that states if either hamsters have feet or urine has unusual odor, then infection occurs via zoospores which are released from sporangia is false, then if calcium carbonate is an antacid, then folk magic is the magic of the common people, usually without elaborate ritual or preparation. It is not true that if calcium carbonate is an antacid, then folk magic is the magic of the common people, usually without elaborate ritual or preparation.
|
It is fair to say that laugher can stimulate heart and lungs.
|
Laugher is the glue that holds hearts together.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (If [2], then [3].).).), then (Either [5] or [6].). [SC1-2]
If (Not (Either [1] or (If [2], then [3].).).), then (Not (Either [5] or [6].).). [SC2-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or (If [2], then [3].).).), then (Either [5] or [6].).).), then [9].
Not [9].
Therefore, If (Not (Either [1] or (If [2], then [3].).).), then (Either [5] or [6].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [1] or (If [2], then [3].).).), then (Not (Either [5] or [6].).).).), then (Either [7] or [8].).
Not (Either [7] or [8].). [SC2-3]
Therefore, If (Not (Either [1] or (If [2], then [3].).).), then (Not (Either [5] or [6].).)..
[SC2-3]
Reductio Ad Absurdum:
If (Either [7] or [8].), then [10]. [SC1-4]
If (Either [7] or [8].), then (Not [10].).
Therefore, Not (Either [7] or [8].)..
[SC1-4]
Modus Tonens:
If (Not (If (Either [7] or [8].), then [10].).), then (If [11], then [12].).
Not (If [11], then [12].).
Therefore, If (Either [7] or [8].), then [10]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].).
[4]
Therefore, If [1], then [0]..
|
{0: 'Laugher can stimulate heart and lungs.', 1: 'Some bone cells are part of ankles.', 2: 'Caffeine causes the heart to pound by blocking the action of adenosine.', 3: 'Politicians are the power brokers of society.', 4: 'Elephants stand on legs.', 5: 'Artistic expression involves taking risks.', 6: 'Spiny lobsters have tails.', 7: 'Hamsters have feet.', 8: 'Urine has unusual odor.', 9: 'Art has to do with inspiration, creativity and skill.', 10: 'Infection occurs via zoospores which are released from sporangia.', 11: 'Calcium carbonate is an antacid.', 12: 'Folk magic is the magic of the common people, usually without elaborate ritual or preparation.'}
| 7 |
6,188 |
['The claim that either oranges have a lot of sucrose, which is affected by acarbose or many women give birth through the birth canal after a previous cesarean section has no merit.', 'We know that the claim that yeast infections produce a thick, white vaginal discharge with the consistency of cottage cheese is false.', 'Given that the claim that either abortions occur later in the pregnancy, most often between the sixth and eighth month or some people mistakenly believe that sound travels through air, water, or even a block of steel thus all are mediums for sound has no merit, it can be inferred that if commercial food is grown in the same soil year after year after year, then genotypic frequencies describe how that variation is organized into genotypes.', 'Assuming if commercial food is grown in the same soil year after year after year, then genotypic frequencies describe how that variation is organized into genotypes, we know that either oranges have a lot of sucrose, which is affected by acarbose or many women give birth through the birth canal after a previous cesarean section.', 'Once we know the statement that states if abortions occur later in the pregnancy, most often between the sixth and eighth month, then yeast infections produce a thick, white vaginal discharge with the consistency of cottage cheese is false, we also know that psychological testing is a procedure with limited aims.', "Given that wastelands are video games, it can be inferred that the statement that 'psychological testing is a procedure with limited aims' is incorrect.", "Provided that carbohydrates support metabolism, we know that the statement that 'psychological testing is a procedure with limited aims' is incorrect.", 'We know that at least one of two things is true: some free radicals arise normally during metabolism, or gin is flavored with juniper berries .', "So long as some free radicals arise normally during metabolism, 'wastelands are video games' is true.", 'If gin is flavored with juniper berries , then carbohydrates support metabolism.']
|
The claim that either oranges have a lot of sucrose, which is affected by acarbose or many women give birth through the birth canal after a previous cesarean section has no merit. We know that the claim that yeast infections produce a thick, white vaginal discharge with the consistency of cottage cheese is false. Given that the claim that either abortions occur later in the pregnancy, most often between the sixth and eighth month or some people mistakenly believe that sound travels through air, water, or even a block of steel thus all are mediums for sound has no merit, it can be inferred that if commercial food is grown in the same soil year after year after year, then genotypic frequencies describe how that variation is organized into genotypes. Assuming if commercial food is grown in the same soil year after year after year, then genotypic frequencies describe how that variation is organized into genotypes, we know that either oranges have a lot of sucrose, which is affected by acarbose or many women give birth through the birth canal after a previous cesarean section. Once we know the statement that states if abortions occur later in the pregnancy, most often between the sixth and eighth month, then yeast infections produce a thick, white vaginal discharge with the consistency of cottage cheese is false, we also know that psychological testing is a procedure with limited aims. Given that wastelands are video games, it can be inferred that the statement that 'psychological testing is a procedure with limited aims' is incorrect. Provided that carbohydrates support metabolism, we know that the statement that 'psychological testing is a procedure with limited aims' is incorrect. We know that at least one of two things is true: some free radicals arise normally during metabolism, or gin is flavored with juniper berries . So long as some free radicals arise normally during metabolism, 'wastelands are video games' is true. If gin is flavored with juniper berries , then carbohydrates support metabolism.
|
Some people mistakenly believe that sound travels through air, water, or even a block of steel thus all are mediums for sound.
|
It is a simple truth that sound travels through air, water, or even a block of steel thus all are mediums for sound.
|
FALSE
|
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 (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or (Not [0].).).), then (If [6], then [7].).
If (If [6], then [7].), then (Either [3] or [4].).
Therefore, If (Not (Either [1] or (Not [0].).).), then (Either [3] or [4].)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [5].
Not [5]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9]. [SC1-4]
If [8], then (Not [5].).
If [9], then (Not [5].).
Therefore, Not [5]..
[SC1-4]
Constructive Dilemma:
Either [10] or [11].
If [10], then [8].
If [11], then [9].
Therefore, Either [8] or [9]..
|
{0: 'Sound travels through air, water, or even a block of steel thus all are mediums for sound.', 1: 'Abortions occur later in the pregnancy, most often between the sixth and eighth month.', 2: 'Yeast infections produce a thick, white vaginal discharge with the consistency of cottage cheese.', 3: 'Oranges have a lot of sucrose, which is affected by acarbose.', 4: 'Many women give birth through the birth canal after a previous cesarean section.', 5: 'Psychological testing is a procedure with limited aims.', 6: 'Commercial food is grown in the same soil year after year after year.', 7: 'Genotypic frequencies describe how that variation is organized into genotypes.', 8: 'Wastelands are video games.', 9: 'Carbohydrates support metabolism.', 10: 'Some free radicals arise normally during metabolism.', 11: 'Gin is flavored with juniper berries .'}
| 7 |
6,685 |
['There is good reason to believe that either cultures give religions their language, and religions offer ultimate meaning to each culture or parks include locations.', 'Assuming parks include locations, we know that it is a common misconception that cockroaches tend to concentrate in certain areas.', 'There is good reason to believe that either many people come to depend on pets for comfort, company, security and nonjudgmental affection or if mice exhibit anxiety, then tuatara mate in late summer.', 'On the condition that many people come to depend on pets for comfort, company, security and nonjudgmental affection, it is definitely the case that either rheumatic fever is a clinical presentation of heart problems without actual damage to the organ or some waters experience a hot bluegill pattern bite during the spawning season.', 'If if mice exhibit anxiety, then tuatara mate in late summer, then either rheumatic fever is a clinical presentation of heart problems without actual damage to the organ or some waters experience a hot bluegill pattern bite during the spawning season.', 'Provided that we know that the claim that if rheumatic fever is a clinical presentation of heart problems without actual damage to the organ, then if women also tend to use much more toilet paper than men, then cockroaches tend to concentrate in certain areas is false, we know that many plants protect themselves against grazing animals with thorns and poisonous chemicals.', 'It is not true that many plants protect themselves against grazing animals with thorns and poisonous chemicals.', 'When some waters experience a hot bluegill pattern bite during the spawning season is true, it follows that liquid foods are pops, juices, watery soups and other beverages.', 'One may reasonably assume that if liquid foods are pops, juices, watery soups and other beverages, then if women also tend to use much more toilet paper than men, then cockroaches tend to concentrate in certain areas.', 'When the claim that if cultures give religions their language, and religions offer ultimate meaning to each culture, then it is a common misconception that cockroaches tend to concentrate in certain areas is false is true, it follows that introduction is a quantum chemistry software developed by scientists to be used by scientists.', 'The statement, introduction is a quantum chemistry software developed by scientists to be used by scientists, does not hold.']
|
There is good reason to believe that either cultures give religions their language, and religions offer ultimate meaning to each culture or parks include locations. Assuming parks include locations, we know that it is a common misconception that cockroaches tend to concentrate in certain areas. There is good reason to believe that either many people come to depend on pets for comfort, company, security and nonjudgmental affection or if mice exhibit anxiety, then tuatara mate in late summer. On the condition that many people come to depend on pets for comfort, company, security and nonjudgmental affection, it is definitely the case that either rheumatic fever is a clinical presentation of heart problems without actual damage to the organ or some waters experience a hot bluegill pattern bite during the spawning season. If if mice exhibit anxiety, then tuatara mate in late summer, then either rheumatic fever is a clinical presentation of heart problems without actual damage to the organ or some waters experience a hot bluegill pattern bite during the spawning season. Provided that we know that the claim that if rheumatic fever is a clinical presentation of heart problems without actual damage to the organ, then if women also tend to use much more toilet paper than men, then cockroaches tend to concentrate in certain areas is false, we know that many plants protect themselves against grazing animals with thorns and poisonous chemicals. It is not true that many plants protect themselves against grazing animals with thorns and poisonous chemicals. When some waters experience a hot bluegill pattern bite during the spawning season is true, it follows that liquid foods are pops, juices, watery soups and other beverages. One may reasonably assume that if liquid foods are pops, juices, watery soups and other beverages, then if women also tend to use much more toilet paper than men, then cockroaches tend to concentrate in certain areas. When the claim that if cultures give religions their language, and religions offer ultimate meaning to each culture, then it is a common misconception that cockroaches tend to concentrate in certain areas is false is true, it follows that introduction is a quantum chemistry software developed by scientists to be used by scientists. The statement, introduction is a quantum chemistry software developed by scientists to be used by scientists, does not hold.
|
It is not true that women also tend to use much more toilet paper than men.
|
We can assume that women also tend to use much more toilet paper than men.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [0], then [1].). [SC2-2]
If [3], then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Either [2] or [3].).
If (If [8], then [9].), then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [11].
Not [11].
Therefore, If [2], then (If [0], then [1].)..
[SC3-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If [0], then [1].).
Therefore, If [3], then (If [0], then [1].)..
[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]
Modus Tonens:
If (Not (If [4], then (Not [1].).).), then [10].
Not [10].
Therefore, If [4], then (Not [1].)..
|
{0: 'Women also tend to use much more toilet paper than men.', 1: 'Cockroaches tend to concentrate in certain areas.', 2: 'Rheumatic fever is a clinical presentation of heart problems without actual damage to the organ.', 3: 'Some waters experience a hot bluegill pattern bite during the spawning season.', 4: 'Cultures give religions their language, and religions offer ultimate meaning to each culture.', 5: 'Parks include locations.', 6: 'Liquid foods are pops, juices, watery soups and other beverages.', 7: 'Many people come to depend on pets for comfort, company, security and nonjudgmental affection.', 8: 'Mice exhibit anxiety.', 9: 'Tuatara mate in late summer.', 10: 'Introduction is a quantum chemistry software developed by scientists to be used by scientists.', 11: 'Many plants protect themselves against grazing animals with thorns and poisonous chemicals.'}
| 7 |
6,803 |
['Assuming the statement that states most scarlet macaws have yellow eyes is false, we know that the claim that phytoplankton are important to the world environment is false.', 'The statement, most animals have a diverse microbial flora within their digestive tracts, does not hold.', 'At least one of two things is true: cinema is a key to matters of the spirit, creativity and values of civilization, or either most animals have a diverse microbial flora within their digestive tracts or if the statement that states most scarlet macaws have yellow eyes is false, then phytoplankton are important to the world environment.', 'The statement that states if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key is false.', "One may reasonably assume that if the notion that 'if cinema is a key to matters of the spirit, creativity and values of civilization, then if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key' is untrue, then either potassium is necessary during all stages of growth or most mothers have diets.", 'Should it be the case that conifers often react slowly to the spruce spider mite feeding, it follows that the claim that either potassium is necessary during all stages of growth or most mothers have diets has no merit.', "At least one of two things is true: some medical assistants are similar in some ways to a nurse, or if the notion that 'if cinema is a key to matters of the spirit, creativity and values of civilization, then if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key' is untrue, then conifers often react slowly to the spruce spider mite feeding.", 'The claim that some medical assistants are similar in some ways to a nurse has no merit.']
|
Assuming the statement that states most scarlet macaws have yellow eyes is false, we know that the claim that phytoplankton are important to the world environment is false. The statement, most animals have a diverse microbial flora within their digestive tracts, does not hold. At least one of two things is true: cinema is a key to matters of the spirit, creativity and values of civilization, or either most animals have a diverse microbial flora within their digestive tracts or if the statement that states most scarlet macaws have yellow eyes is false, then phytoplankton are important to the world environment. The statement that states if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key is false. One may reasonably assume that if the notion that 'if cinema is a key to matters of the spirit, creativity and values of civilization, then if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key' is untrue, then either potassium is necessary during all stages of growth or most mothers have diets. Should it be the case that conifers often react slowly to the spruce spider mite feeding, it follows that the claim that either potassium is necessary during all stages of growth or most mothers have diets has no merit. At least one of two things is true: some medical assistants are similar in some ways to a nurse, or if the notion that 'if cinema is a key to matters of the spirit, creativity and values of civilization, then if most animals live in areas, then preventive care is as important for animals as it is for humans and nutrition is the key' is untrue, then conifers often react slowly to the spruce spider mite feeding. The claim that some medical assistants are similar in some ways to a nurse has no merit.
|
We can assume that most scarlet macaws have yellow eyes.
|
The claim that most scarlet macaws have yellow eyes is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (Either [2] or (If (Not [0].), then [1].).).
Not [3]. [SC2-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-3]
Modus Tonens:
If [3], then (If [4], then [5].). [SC1-4]
Not (If [4], then [5].).
Therefore, Not [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [3], then (If [4], then [5].).).), then (Either [6] or [7].).
If (Not (If [3], then (If [4], then [5].).).), then (Not (Either [6] or [7].).). [SC2-5]
Therefore, If [3], then (If [4], then [5].)..
[SC2-5]
Hypothetical Syllogism:
If (Not (If [3], then (If [4], then [5].).).), then [8]. [SC1-6]
If [8], then (Not (Either [6] or [7].).).
Therefore, If (Not (If [3], then (If [4], then [5].).).), then (Not (Either [6] or [7].).)..
[SC1-6]
Disjunctive Syllogism:
Either [9] or (If (Not (If [3], then (If [4], then [5].).).), then [8].).
Not [9].
Therefore, If (Not (If [3], then (If [4], then [5].).).), then [8]..
|
{0: 'Most scarlet macaws have yellow eyes.', 1: 'Phytoplankton are important to the world environment.', 2: 'Most animals have a diverse microbial flora within their digestive tracts.', 3: 'Cinema is a key to matters of the spirit, creativity and values of civilization.', 4: 'Most animals live in areas.', 5: 'Preventive care is as important for animals as it is for humans and nutrition is the key.', 6: 'Potassium is necessary during all stages of growth.', 7: 'Most mothers have diets.', 8: 'Conifers often react slowly to the spruce spider mite feeding.', 9: 'Some medical assistants are similar in some ways to a nurse.'}
| 7 |
6,344 |
["The statement that 'tumors can be either benign or malignant ' is incorrect.", "So long as the claim that either tumors can be either benign or malignant or plants decompose fixing carbon, and animals decompose releasing carbon has no merit, 'waves have shapes' is true.", 'It is a fact that either some humanitarians say that all humanitarian crises are really human rights crises or television is the dominant source of information in most countries around the world today.', 'On the condition that television is the dominant source of information in most countries around the world today, it is definitely the case that the claim that waves have shapes is false.', 'At least one of two things is true: night snakes have a unique dark mark on their neck, or bronze is an alloy of tin and copper.', 'Should it be the case that night snakes have a unique dark mark on their neck, it follows that we know that the claim that either most soybeans contain proteins or uncles are males is false.', 'If bronze is an alloy of tin and copper, then we know that the claim that either most soybeans contain proteins or uncles are males is false.', "So long as some humanitarians say that all humanitarian crises are really human rights crises, 'if limpets are prey for starfish, shore-birds, fish, seals, and humans, then hooves are the primary means of self-defence, though antlers are powerful' is true.", 'Once we know we know that the claim that if if limpets are prey for starfish, shore-birds, fish, seals, and humans, then hooves are the primary means of self-defence, though antlers are powerful, then either most soybeans contain proteins or uncles are males is false, we also know that if yoga is more than asanas, then spotted knapweed has oval stalked cotyledons.', 'The statement that states if yoga is more than asanas, then spotted knapweed has oval stalked cotyledons is false.']
|
The statement that 'tumors can be either benign or malignant ' is incorrect. So long as the claim that either tumors can be either benign or malignant or plants decompose fixing carbon, and animals decompose releasing carbon has no merit, 'waves have shapes' is true. It is a fact that either some humanitarians say that all humanitarian crises are really human rights crises or television is the dominant source of information in most countries around the world today. On the condition that television is the dominant source of information in most countries around the world today, it is definitely the case that the claim that waves have shapes is false. At least one of two things is true: night snakes have a unique dark mark on their neck, or bronze is an alloy of tin and copper. Should it be the case that night snakes have a unique dark mark on their neck, it follows that we know that the claim that either most soybeans contain proteins or uncles are males is false. If bronze is an alloy of tin and copper, then we know that the claim that either most soybeans contain proteins or uncles are males is false. So long as some humanitarians say that all humanitarian crises are really human rights crises, 'if limpets are prey for starfish, shore-birds, fish, seals, and humans, then hooves are the primary means of self-defence, though antlers are powerful' is true. Once we know we know that the claim that if if limpets are prey for starfish, shore-birds, fish, seals, and humans, then hooves are the primary means of self-defence, though antlers are powerful, then either most soybeans contain proteins or uncles are males is false, we also know that if yoga is more than asanas, then spotted knapweed has oval stalked cotyledons. The statement that states if yoga is more than asanas, then spotted knapweed has oval stalked cotyledons is false.
|
The claim that plants decompose fixing carbon, and animals decompose releasing carbon is true.
|
The claim that plants decompose fixing carbon, and animals decompose releasing carbon does not reflect reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Not [2].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either [5] or [6].
If [5], then (Either [3] or [4].). [SC2-4]
If [6], then (Not [2].).
Therefore, Either (Either [3] or [4].) or (Not [2].)..
[SC2-4]
Hypothetical Syllogism:
If [5], then (If [9], then [10].).
If (If [9], then [10].), then (Either [3] or [4].). [SC2-5]
Therefore, If [5], then (Either [3] or [4].)..
[SC2-5]
Modus Tonens:
If (Not (If (If [9], then [10].), then (Either [3] or [4].).).), then (If [11], then [12].).
Not (If [11], then [12].).
Therefore, If (If [9], then [10].), then (Either [3] or [4].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not (Either [3] or [4].).).
If [8], then (Not (Either [3] or [4].).).
Therefore, Not (Either [3] or [4].)..
|
{0: 'Plants decompose fixing carbon, and animals decompose releasing carbon.', 1: 'Tumors can be either benign or malignant .', 2: 'Waves have shapes.', 3: 'Most soybeans contain proteins.', 4: 'Uncles are males.', 5: 'Some humanitarians say that all humanitarian crises are really human rights crises.', 6: 'Television is the dominant source of information in most countries around the world today.', 7: 'Night snakes have a unique dark mark on their neck.', 8: 'Bronze is an alloy of tin and copper.', 9: 'Limpets are prey for starfish, shore-birds, fish, seals, and humans.', 10: 'Hooves are the primary means of self-defence, though antlers are powerful.', 11: 'Yoga is more than asanas.', 12: 'Spotted knapweed has oval stalked cotyledons.'}
| 7 |
6,741 |
['On the condition that those that suggest if the claim that if free radicals are highly reactive oxidizing substances, then coffee is an important cash crop as well as a favorite beverage does not reflect reality, then if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages are wrong, it is definitely the case that weapons are used for violence.', 'We know that either physical properties are measures of a material s size, density, porosity and surface texture or a spiny lizard is a lizard.', 'On the condition that physical properties are measures of a material s size, density, porosity and surface texture, it is definitely the case that it is not the case that if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages.', "So long as a spiny lizard is a lizard, 'it is not the case that if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages' is true.", 'The statement, some potato has potassium, does not hold.', "Provided that it is a common misconception that if weapons are used for violence, then the statement 'capitalism leads to exploitation of workers, which promotes inequality' can be considered false, we know that copper is essential for all life, but only in small quantities.", "So long as it is a common misconception that if weapons are used for violence, then the statement 'capitalism leads to exploitation of workers, which promotes inequality' can be considered false, 'the statement that states copper is essential for all life, but only in small quantities is false' is true.", 'It is rational to believe that either plants spread pollen or either some potato has potassium or if weapons are used for violence, then capitalism leads to exploitation of workers, which promotes inequality.', 'The claim that plants spread pollen is false.']
|
On the condition that those that suggest if the claim that if free radicals are highly reactive oxidizing substances, then coffee is an important cash crop as well as a favorite beverage does not reflect reality, then if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages are wrong, it is definitely the case that weapons are used for violence. We know that either physical properties are measures of a material s size, density, porosity and surface texture or a spiny lizard is a lizard. On the condition that physical properties are measures of a material s size, density, porosity and surface texture, it is definitely the case that it is not the case that if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages. So long as a spiny lizard is a lizard, 'it is not the case that if sexual sterility is more common among hybrids as opposed to more stable parental species, then polyglot dictionaries list equivalent words in three or more languages' is true. The statement, some potato has potassium, does not hold. Provided that it is a common misconception that if weapons are used for violence, then the statement 'capitalism leads to exploitation of workers, which promotes inequality' can be considered false, we know that copper is essential for all life, but only in small quantities. So long as it is a common misconception that if weapons are used for violence, then the statement 'capitalism leads to exploitation of workers, which promotes inequality' can be considered false, 'the statement that states copper is essential for all life, but only in small quantities is false' is true. It is rational to believe that either plants spread pollen or either some potato has potassium or if weapons are used for violence, then capitalism leads to exploitation of workers, which promotes inequality. The claim that plants spread pollen is false.
|
Whenever it is true that free radicals are highly reactive oxidizing substances, 'coffee is an important cash crop as well as a favorite beverage' is true.
|
Those that suggest if free radicals are highly reactive oxidizing substances, then coffee is an important cash crop as well as a favorite beverage are wrong.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-1]
Not (If [2], then [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [6].
Not [6]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If [6], then [7]. [SC1-3]
If [6], then (Not [7].). [SC2-3]
Therefore, Not [6]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If [6], then [7].). [SC1-4]
Not [8].
Therefore, If [6], then [7]..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (Either [8] or (If [6], then [7].).).
Not [10].
Therefore, Either [8] or (If [6], then [7].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Not [7].).).), then [9].
If (Not (If [6], then (Not [7].).).), then (Not [9].).
Therefore, If [6], then (Not [7].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not (If [2], then [3].).).
If [5], then (Not (If [2], then [3].).).
Therefore, Not (If [2], then [3].)..
|
{0: 'Free radicals are highly reactive oxidizing substances.', 1: 'Coffee is an important cash crop as well as a favorite beverage.', 2: 'Sexual sterility is more common among hybrids as opposed to more stable parental species.', 3: 'Polyglot dictionaries list equivalent words in three or more languages.', 4: 'Physical properties are measures of a material s size, density, porosity and surface texture.', 5: 'A spiny lizard is a lizard.', 6: 'Weapons are used for violence.', 7: 'Capitalism leads to exploitation of workers, which promotes inequality.', 8: 'Some potato has potassium.', 9: 'Copper is essential for all life, but only in small quantities.', 10: 'Plants spread pollen.'}
| 7 |
6,453 |
['Either one or both of these statements are true: cellular phones have a wide range and can be used while moving, or if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then some compounds appear in urine.', 'On the condition that we know that the claim that if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then it is a common misconception that some compounds appear in urine is false, it is definitely the case that parking structures are located in large cities.', 'One may reasonably assume that if we know that the claim that if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then it is a common misconception that some compounds appear in urine is false, then the claim that parking structures are located in large cities does not reflect reality.', 'We know that either sodium metal is soft enough to be cut with a plastic knife or if cellular phones have a wide range and can be used while moving, then hygienists provide preventive dental care and encourage patients to develop good oral hygiene.', "Provided that the claim that if cellular phones have a wide range and can be used while moving, then the notion that 'hygienists provide preventive dental care and encourage patients to develop good oral hygiene' is untrue does not reflect reality, we know that humanity has (part) body substances.", "So long as the claim that if cellular phones have a wide range and can be used while moving, then the notion that 'hygienists provide preventive dental care and encourage patients to develop good oral hygiene' is untrue does not reflect reality, 'some people mistakenly believe that humanity has (part) body substances' is true.", 'When sodium metal is soft enough to be cut with a plastic knife is true, it follows that most cancer has characteristics.', 'If sodium metal is soft enough to be cut with a plastic knife, then it is not true that most cancer has characteristics.']
|
Either one or both of these statements are true: cellular phones have a wide range and can be used while moving, or if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then some compounds appear in urine. On the condition that we know that the claim that if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then it is a common misconception that some compounds appear in urine is false, it is definitely the case that parking structures are located in large cities. One may reasonably assume that if we know that the claim that if it is not the case that natural context is any place or circumstance which is typical for an activity or event, then it is a common misconception that some compounds appear in urine is false, then the claim that parking structures are located in large cities does not reflect reality. We know that either sodium metal is soft enough to be cut with a plastic knife or if cellular phones have a wide range and can be used while moving, then hygienists provide preventive dental care and encourage patients to develop good oral hygiene. Provided that the claim that if cellular phones have a wide range and can be used while moving, then the notion that 'hygienists provide preventive dental care and encourage patients to develop good oral hygiene' is untrue does not reflect reality, we know that humanity has (part) body substances. So long as the claim that if cellular phones have a wide range and can be used while moving, then the notion that 'hygienists provide preventive dental care and encourage patients to develop good oral hygiene' is untrue does not reflect reality, 'some people mistakenly believe that humanity has (part) body substances' is true. When sodium metal is soft enough to be cut with a plastic knife is true, it follows that most cancer has characteristics. If sodium metal is soft enough to be cut with a plastic knife, then it is not true that most cancer has characteristics.
|
The statement 'natural context is any place or circumstance which is typical for an activity or event' is true.
|
Shelfs are located in houses.
|
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 [3] or (If (Not [0].), then [1].).
Not [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-3]
If [3], then (Not [4].). [SC2-3]
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If [3], then [4].).
Not [5]. [SC2-4]
Therefore, If [3], then [4]..
[SC2-4]
Reductio Ad Absurdum:
If [5], then [7].
If [5], then (Not [7].).
Therefore, Not [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [4].).).), then [6].
If (Not (If [3], then (Not [4].).).), then (Not [6].).
Therefore, If [3], then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Natural context is any place or circumstance which is typical for an activity or event.', 1: 'Some compounds appear in urine.', 2: 'Parking structures are located in large cities.', 3: 'Cellular phones have a wide range and can be used while moving.', 4: 'Hygienists provide preventive dental care and encourage patients to develop good oral hygiene.', 5: 'Sodium metal is soft enough to be cut with a plastic knife.', 6: 'Humanity has (part) body substances.', 7: 'Most cancer has characteristics.'}
| 7 |
6,646 |
['Assuming sodium nitrate is ionic compounds, we know that industrial engineering covers a wide variety of occupational skills and knowledge.', "Whenever it is true that industrial engineering covers a wide variety of occupational skills and knowledge, 'it is not the case that either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season' is true.", 'Provided that it is not the case that if the claim that if sodium nitrate is ionic compounds, then either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season does not reflect reality, then if bumble bees like to nest in thick grass, abandoned rodent nests, or abandoned furniture, then anytime air expands due to a drop in pressure, it also gets cooler, we know that most animals maintain temperature.', 'The statement that states most animals maintain temperature is false.', 'Given that immunocompromised people are at higher risk for many types of infections, it can be inferred that if the claim that if sodium nitrate is ionic compounds, then either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season does not reflect reality, then the statement that states if bumble bees like to nest in thick grass, abandoned rodent nests, or abandoned furniture, then anytime air expands due to a drop in pressure, it also gets cooler is false.', 'If corals are good predictors of mass extinction events, then immunocompromised people are at higher risk for many types of infections.', "Whenever it is true that the notion that 'corals are good predictors of mass extinction events' is untrue, 'either beavers live in the far north of Canada, western Canada, and on the prairies or vermin isa individual' is true.", 'It is not the case that either beavers live in the far north of Canada, western Canada, and on the prairies or vermin isa individual.']
|
Assuming sodium nitrate is ionic compounds, we know that industrial engineering covers a wide variety of occupational skills and knowledge. Whenever it is true that industrial engineering covers a wide variety of occupational skills and knowledge, 'it is not the case that either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season' is true. Provided that it is not the case that if the claim that if sodium nitrate is ionic compounds, then either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season does not reflect reality, then if bumble bees like to nest in thick grass, abandoned rodent nests, or abandoned furniture, then anytime air expands due to a drop in pressure, it also gets cooler, we know that most animals maintain temperature. The statement that states most animals maintain temperature is false. Given that immunocompromised people are at higher risk for many types of infections, it can be inferred that if the claim that if sodium nitrate is ionic compounds, then either a croup is a body part or wetlands form wherever water is present for extended periods during the growing season does not reflect reality, then the statement that states if bumble bees like to nest in thick grass, abandoned rodent nests, or abandoned furniture, then anytime air expands due to a drop in pressure, it also gets cooler is false. If corals are good predictors of mass extinction events, then immunocompromised people are at higher risk for many types of infections. Whenever it is true that the notion that 'corals are good predictors of mass extinction events' is untrue, 'either beavers live in the far north of Canada, western Canada, and on the prairies or vermin isa individual' is true. It is not the case that either beavers live in the far north of Canada, western Canada, and on the prairies or vermin isa individual.
|
The claim that sodium nitrate is ionic compounds does not correspond with reality.
|
The claim that sodium nitrate is ionic compounds does not correspond with reality.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].). [SC1-1]
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].). [SC1-2]
If (Not (If [0], then (Either [1] or [2].).).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [6].
Not [6].
Therefore, If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].)..
[SC2-2]
Modus Ponens:
If [7], then (If (Not (If [0], then (Either [1] or [2].).).), then (Not (If [3], then [4].).).).
[7] [SC2-3]
Therefore, If (Not (If [0], then (Either [1] or [2].).).), then (Not (If [3], then [4].).)..
[SC2-3]
Modus Ponens:
If [8], then [7].
[8] [SC2-4]
Therefore, [7].
[SC2-4]
Modus Tonens:
If (Not [8].), then (Either [9] or [10].).
Not (Either [9] or [10].).
Therefore, [8].
[SC2-1]
Hypothetical Syllogism:
If [0], then [5].
If [5], then (Not (Either [1] or [2].).).
Therefore, If [0], then (Not (Either [1] or [2].).)..
|
{0: 'Sodium nitrate is ionic compounds.', 1: 'A croup is a body part.', 2: 'Wetlands form wherever water is present for extended periods during the growing season.', 3: 'Bumble bees like to nest in thick grass, abandoned rodent nests, or abandoned furniture.', 4: 'Anytime air expands due to a drop in pressure, it also gets cooler.', 5: 'Industrial engineering covers a wide variety of occupational skills and knowledge.', 6: 'Most animals maintain temperature.', 7: 'Immunocompromised people are at higher risk for many types of infections.', 8: 'Corals are good predictors of mass extinction events.', 9: 'Beavers live in the far north of Canada, western Canada, and on the prairies.', 10: 'Vermin isa individual.'}
| 7 |
6,830 |
['On the condition that if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation, it is definitely the case that knifes are used for diggings.', 'At least one of two things is true: grasslands occur in the warmest, driest portions of the park and forests in moderate environments, or jaguars look muscular, have massive limbs, and have a deep chest.', 'One may reasonably assume that if grasslands occur in the warmest, driest portions of the park and forests in moderate environments, then if if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity, then either planning is a family function or if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation.', 'If jaguars look muscular, have massive limbs, and have a deep chest, then if if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity, then either planning is a family function or if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation.', 'We know that at least one of two things is true: either sapwood tends to be lighter in color or tin is remarkably resistant to corrosion under atmospheric condition, or management depends on factors.', 'Assuming either sapwood tends to be lighter in color or tin is remarkably resistant to corrosion under atmospheric condition, we know that if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity.', 'Provided that management depends on factors, we know that if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity.', "Whenever it is true that a lira is an unit, 'either some viruses have similar functions or if planning is a family function, then knifes are used for diggings' is true.", 'We can assume that a lira is an unit.', 'Provided that some viruses have similar functions, we know that radish roots vary in size, color, shape and texture.', 'When some viruses have similar functions is true, it follows that the statement that states radish roots vary in size, color, shape and texture is false.']
|
On the condition that if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation, it is definitely the case that knifes are used for diggings. At least one of two things is true: grasslands occur in the warmest, driest portions of the park and forests in moderate environments, or jaguars look muscular, have massive limbs, and have a deep chest. One may reasonably assume that if grasslands occur in the warmest, driest portions of the park and forests in moderate environments, then if if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity, then either planning is a family function or if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation. If jaguars look muscular, have massive limbs, and have a deep chest, then if if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity, then either planning is a family function or if children are the threads from which the tapestry of life is woven, then quintessence can also decay into new forms of hot matter or radiation. We know that at least one of two things is true: either sapwood tends to be lighter in color or tin is remarkably resistant to corrosion under atmospheric condition, or management depends on factors. Assuming either sapwood tends to be lighter in color or tin is remarkably resistant to corrosion under atmospheric condition, we know that if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity. Provided that management depends on factors, we know that if cows tend to drink all the time, then bytes are the common unit for measuring computer and disk storage capacity. Whenever it is true that a lira is an unit, 'either some viruses have similar functions or if planning is a family function, then knifes are used for diggings' is true. We can assume that a lira is an unit. Provided that some viruses have similar functions, we know that radish roots vary in size, color, shape and texture. When some viruses have similar functions is true, it follows that the statement that states radish roots vary in size, color, shape and texture is false.
|
It is rational to agree that knifes are used for diggings.
|
It is rational to agree that knifes are used for diggings.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (Either [1] or (If [2], then [3].).). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [4], then [5].), then (Either [1] or (If [2], then [3].).).).
If [8], then (If (If [4], then [5].), then (Either [1] or (If [2], then [3].).).).
Therefore, If (If [4], then [5].), then (Either [1] or (If [2], then [3].).)..
[SC2-2]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If [4], then [5].).
If [11], then (If [4], then [5].).
Therefore, If [4], then [5]..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If [1], then [0].). [SC1-2]
Not [6]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [13], then (Either [6] or (If [1], then [0].).).
[13]
Therefore, Either [6] or (If [1], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [6], then [12].
If [6], then (Not [12].).
Therefore, Not [6]..
|
{0: 'Knifes are used for diggings.', 1: 'Planning is a family function.', 2: 'Children are the threads from which the tapestry of life is woven.', 3: 'Quintessence can also decay into new forms of hot matter or radiation.', 4: 'Cows tend to drink all the time.', 5: 'Bytes are the common unit for measuring computer and disk storage capacity.', 6: 'Some viruses have similar functions.', 7: 'Grasslands occur in the warmest, driest portions of the park and forests in moderate environments.', 8: 'Jaguars look muscular, have massive limbs, and have a deep chest.', 9: 'Sapwood tends to be lighter in color.', 10: 'Tin is remarkably resistant to corrosion under atmospheric condition.', 11: 'Management depends on factors.', 12: 'Radish roots vary in size, color, shape and texture.', 13: 'A lira is an unit.'}
| 7 |
6,155 |
['Either one or both of these statements are true: if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates, or some people mistakenly believe that geometrical optics applies the laws of reflection and refraction of light to the design of lenses .', 'We know that at least one of two things is true: toast is claimed to be useful for muscle warm-up as well as pain relief, or nitric oxide is produced by distinct categories of nitric oxide synthase isoforms.', 'Given that toast is claimed to be useful for muscle warm-up as well as pain relief, it can be inferred that the claim that if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates is false.', 'Assuming it is not the case that if nitric oxide is produced by distinct categories of nitric oxide synthase isoforms, then the claim that if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates is false, we know that either seeds vary greatly in size, shape, colour and texture or angleworms have (part) cells.', 'Assuming it is a common misconception that if either seeds vary greatly in size, shape, colour and texture or angleworms have (part) cells, then flower plants attract attention, we know that if ozone is no different, then some gene mutation causes family cancer syndromes.', 'The claim that if ozone is no different, then some gene mutation causes family cancer syndromes does not reflect reality.', 'Assuming bugs live in temperate climates, we know that the statement, flower plants attract attention, does not hold.', 'Either wealth comes from capital markets or either ethanol is made from a variety of plant substances - corn, sugar cane, even some kinds of wood or earthquakes go on almost continuously.', 'Should it be the case that wealth comes from capital markets, it follows that bugs live in temperate climates.', 'Should it be the case that either ethanol is made from a variety of plant substances - corn, sugar cane, even some kinds of wood or earthquakes go on almost continuously, it follows that bugs live in temperate climates.']
|
Either one or both of these statements are true: if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates, or some people mistakenly believe that geometrical optics applies the laws of reflection and refraction of light to the design of lenses . We know that at least one of two things is true: toast is claimed to be useful for muscle warm-up as well as pain relief, or nitric oxide is produced by distinct categories of nitric oxide synthase isoforms. Given that toast is claimed to be useful for muscle warm-up as well as pain relief, it can be inferred that the claim that if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates is false. Assuming it is not the case that if nitric oxide is produced by distinct categories of nitric oxide synthase isoforms, then the claim that if tubers have no tunic, then biogenic aggregates differ in C-mineralisation from physicogenic aggregates is false, we know that either seeds vary greatly in size, shape, colour and texture or angleworms have (part) cells. Assuming it is a common misconception that if either seeds vary greatly in size, shape, colour and texture or angleworms have (part) cells, then flower plants attract attention, we know that if ozone is no different, then some gene mutation causes family cancer syndromes. The claim that if ozone is no different, then some gene mutation causes family cancer syndromes does not reflect reality. Assuming bugs live in temperate climates, we know that the statement, flower plants attract attention, does not hold. Either wealth comes from capital markets or either ethanol is made from a variety of plant substances - corn, sugar cane, even some kinds of wood or earthquakes go on almost continuously. Should it be the case that wealth comes from capital markets, it follows that bugs live in temperate climates. Should it be the case that either ethanol is made from a variety of plant substances - corn, sugar cane, even some kinds of wood or earthquakes go on almost continuously, it follows that bugs live in temperate climates.
|
Some people mistakenly believe that geometrical optics applies the laws of reflection and refraction of light to the design of lenses .
|
Some people mistakenly believe that geometrical optics applies the laws of reflection and refraction of light to the design of lenses .
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].).
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not (If [1], then [2].).).
If [4], then (Not (If [1], then [2].).). [SC3-2]
Therefore, Not (If [1], then [2].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Not (If [1], then [2].).).).), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-3]
Therefore, If [4], then (Not (If [1], then [2].).)..
[SC2-3]
Modus Tonens:
If (Either [5] or [6].), then [7]. [SC1-4]
Not [7]. [SC2-4]
Therefore, Not (Either [5] or [6].)..
[SC1-4]
Modus Tonens:
If (Not (If (Either [5] or [6].), then [7].).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, If (Either [5] or [6].), then [7]..
[SC2-4]
Modus Ponens:
If [8], then (Not [7].).
[8] [SC2-5]
Therefore, Not [7]..
[SC2-5]
Disjunction Elimination:
Either [11] or (Either [12] or [13].).
If [11], then [8].
If (Either [12] or [13].), then [8].
Therefore, [8].
|
{0: 'Geometrical optics applies the laws of reflection and refraction of light to the design of lenses .', 1: 'Tubers have no tunic.', 2: 'Biogenic aggregates differ in C-mineralisation from physicogenic aggregates.', 3: 'Toast is claimed to be useful for muscle warm-up as well as pain relief.', 4: 'Nitric oxide is produced by distinct categories of nitric oxide synthase isoforms.', 5: 'Seeds vary greatly in size, shape, colour and texture.', 6: 'Angleworms have (part) cells.', 7: 'Flower plants attract attention.', 8: 'Bugs live in temperate climates.', 9: 'Ozone is no different.', 10: 'Some gene mutation causes family cancer syndromes.', 11: 'Wealth comes from capital markets.', 12: 'Ethanol is made from a variety of plant substances - corn, sugar cane, even some kinds of wood.', 13: 'Earthquakes go on almost continuously.'}
| 7 |
6,487 |
['The statement that states hair is a genetic thing, many guys have very little and some have a whole bunch is false.', 'Given that heredity can be a risk factor if one or more parents have been diagnosed with hypertension, it can be inferred that hair is a genetic thing, many guys have very little and some have a whole bunch.', 'We know that either plant diversity leads to ecosystem productivity or firebirds are software.', "So long as plant diversity leads to ecosystem productivity, 'evangelism means obedience' is true.", "So long as firebirds are software, 'buckets have (part) sections' is true.", 'Given that malingerings are diseases, it can be inferred that if evangelism means obedience, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension.', 'It is reasonable to believe that malingerings are diseases.', 'Either one or both of these statements are true: some species are completely or partially parthenogenetic, or flowers produce nectar to attract insects.', 'Provided that some species are completely or partially parthenogenetic, we know that if buckets have (part) sections, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension.', 'We know that at least one of two things is true: many enterococcal infections are mixed infections in which the role of enterococci is uncertain, or if flowers produce nectar to attract insects, then if buckets have (part) sections, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension.', 'The claim that many enterococcal infections are mixed infections in which the role of enterococci is uncertain has no merit.']
|
The statement that states hair is a genetic thing, many guys have very little and some have a whole bunch is false. Given that heredity can be a risk factor if one or more parents have been diagnosed with hypertension, it can be inferred that hair is a genetic thing, many guys have very little and some have a whole bunch. We know that either plant diversity leads to ecosystem productivity or firebirds are software. So long as plant diversity leads to ecosystem productivity, 'evangelism means obedience' is true. So long as firebirds are software, 'buckets have (part) sections' is true. Given that malingerings are diseases, it can be inferred that if evangelism means obedience, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension. It is reasonable to believe that malingerings are diseases. Either one or both of these statements are true: some species are completely or partially parthenogenetic, or flowers produce nectar to attract insects. Provided that some species are completely or partially parthenogenetic, we know that if buckets have (part) sections, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension. We know that at least one of two things is true: many enterococcal infections are mixed infections in which the role of enterococci is uncertain, or if flowers produce nectar to attract insects, then if buckets have (part) sections, then if it is a common misconception that some libraries use fluorescent and even neon colors effectively, then heredity can be a risk factor if one or more parents have been diagnosed with hypertension. The claim that many enterococcal infections are mixed infections in which the role of enterococci is uncertain has no merit.
|
some libraries use fluorescent and even neon colors effectively.
|
It is not true that some libraries use fluorescent and even neon colors effectively.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not [0].), then [2].). [SC2-3]
If [4], then (If (Not [0].), then [2].). [SC3-3]
Therefore, If (Not [0].), then [2]..
[SC1-3]
Constructive Dilemma:
Either [5] or [6].
If [5], then [3].
If [6], then [4].
Therefore, Either [3] or [4]..
[SC2-3]
Modus Ponens:
If [9], then (If [3], then (If (Not [0].), then [2].).).
[9]
Therefore, If [3], then (If (Not [0].), then [2].)..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then (If (Not [0].), then [2].).).
If [8], then (If [4], then (If (Not [0].), then [2].).). [SC3-4]
Therefore, If [4], then (If (Not [0].), then [2].)..
[SC3-4]
Disjunctive Syllogism:
Either [10] or (If [8], then (If [4], then (If (Not [0].), then [2].).).).
Not [10].
Therefore, If [8], then (If [4], then (If (Not [0].), then [2].).)..
|
{0: 'Some libraries use fluorescent and even neon colors effectively.', 1: 'Hair is a genetic thing, many guys have very little and some have a whole bunch.', 2: 'Heredity can be a risk factor if one or more parents have been diagnosed with hypertension.', 3: 'Evangelism means obedience.', 4: 'Buckets have (part) sections.', 5: 'Plant diversity leads to ecosystem productivity.', 6: 'Firebirds are software.', 7: 'Some species are completely or partially parthenogenetic.', 8: 'Flowers produce nectar to attract insects.', 9: 'Malingerings are diseases.', 10: 'Many enterococcal infections are mixed infections in which the role of enterococci is uncertain.'}
| 7 |
6,597 |
['Given that some diets come from exoskeletons, it can be inferred that nummular dermatitis can resolve completely, though typically it persists for years.', 'Either one or both of these statements are true: if artificial insemination is an option for lesbian couples who wish to bear and raise children, then molecules begin to interact as their concentration increases, or if faith is the belief of testimony, and where there is no testimony there can be no faith, then if if some diets come from exoskeletons, then nummular dermatitis can resolve completely, though typically it persists for years, then narcotics can cause intestinal blockage or mask a severe abdominal condition.', 'The statement that states if artificial insemination is an option for lesbian couples who wish to bear and raise children, then molecules begin to interact as their concentration increases is false.', 'At least one of two things is true: secondhand smoke can be extremely harmful to both children and adults, or if injuries may have effects, then dill produces strong taproots.', "So long as if injuries may have effects, then dill produces strong taproots, 'faith is the belief of testimony, and where there is no testimony there can be no faith' is true.", "So long as a happenstance is an accident, 'faith is the belief of testimony, and where there is no testimony there can be no faith' is true.", 'Given that lamellar bone is mature, woven bone is immature and usually pathological, it can be inferred that if secondhand smoke can be extremely harmful to both children and adults, then a happenstance is an accident.', 'Assuming the claim that lamellar bone is mature, woven bone is immature and usually pathological does not reflect reality, we know that larger dogs require a higher volume of water.', 'We know that the claim that larger dogs require a higher volume of water is false.']
|
Given that some diets come from exoskeletons, it can be inferred that nummular dermatitis can resolve completely, though typically it persists for years. Either one or both of these statements are true: if artificial insemination is an option for lesbian couples who wish to bear and raise children, then molecules begin to interact as their concentration increases, or if faith is the belief of testimony, and where there is no testimony there can be no faith, then if if some diets come from exoskeletons, then nummular dermatitis can resolve completely, though typically it persists for years, then narcotics can cause intestinal blockage or mask a severe abdominal condition. The statement that states if artificial insemination is an option for lesbian couples who wish to bear and raise children, then molecules begin to interact as their concentration increases is false. At least one of two things is true: secondhand smoke can be extremely harmful to both children and adults, or if injuries may have effects, then dill produces strong taproots. So long as if injuries may have effects, then dill produces strong taproots, 'faith is the belief of testimony, and where there is no testimony there can be no faith' is true. So long as a happenstance is an accident, 'faith is the belief of testimony, and where there is no testimony there can be no faith' is true. Given that lamellar bone is mature, woven bone is immature and usually pathological, it can be inferred that if secondhand smoke can be extremely harmful to both children and adults, then a happenstance is an accident. Assuming the claim that lamellar bone is mature, woven bone is immature and usually pathological does not reflect reality, we know that larger dogs require a higher volume of water. We know that the claim that larger dogs require a higher volume of water is false.
|
It is the case that narcotics can cause intestinal blockage or mask a severe abdominal condition.
|
Narcotics mimic the effects of melatonin.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (If [1], then [2].), then [0].). [SC1-2]
[3] [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then [0].).).
Not (If [4], then [5].).
Therefore, If [3], then (If (If [1], then [2].), then [0].)..
[SC2-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then [3]. [SC2-3]
If (If [7], then [8].), then [3].
Therefore, [3].
[SC2-3]
Hypothetical Syllogism:
If [6], then [9]. [SC1-4]
If [9], then [3].
Therefore, If [6], then [3]..
[SC1-4]
Modus Ponens:
If [10], then (If [6], then [9].).
[10] [SC2-5]
Therefore, If [6], then [9]..
[SC2-5]
Modus Tonens:
If (Not [10].), then [11].
Not [11].
Therefore, [10].
|
{0: 'Narcotics can cause intestinal blockage or mask a severe abdominal condition.', 1: 'Some diets come from exoskeletons.', 2: 'Nummular dermatitis can resolve completely, though typically it persists for years.', 3: 'Faith is the belief of testimony, and where there is no testimony there can be no faith.', 4: 'Artificial insemination is an option for lesbian couples who wish to bear and raise children.', 5: 'Molecules begin to interact as their concentration increases.', 6: 'Secondhand smoke can be extremely harmful to both children and adults.', 7: 'Injuries may have effects.', 8: 'Dill produces strong taproots.', 9: 'A happenstance is an accident.', 10: 'Lamellar bone is mature, woven bone is immature and usually pathological.', 11: 'Larger dogs require a higher volume of water.'}
| 7 |
6,988 |
['Assuming the claim that milkweed has many large leaves, and it tends to grow in clumps does not correspond with reality, we know that some people mistakenly believe that pharmacology is the study of how drugs work.', 'Given that it is a common misconception that either if masks used in performances of sacred dances are sacred and as such revered and kept so in temples, then some heat enhances seed germination or if the claim that milkweed has many large leaves, and it tends to grow in clumps does not correspond with reality, then pharmacology is the study of how drugs work, it can be inferred that adult toads are more terrestrial, more warty, and have drier skin than frogs.', 'The statement that states socialism says the state owns the property and people just use it is right.', 'On the condition that adult toads are more terrestrial, more warty, and have drier skin than frogs, it is definitely the case that most eyes contain yellow irises.', 'Given that if rattlesnakes scare predators away with a combination of hissing and shaking their rattles, then moose collisions cause property damage, it can be inferred that if socialism says the state owns the property and people just use it, then the claim that if masks used in performances of sacred dances are sacred and as such revered and kept so in temples, then some heat enhances seed germination does not correspond with reality.', 'Assuming rattlesnakes scare predators away with a combination of hissing and shaking their rattles, we know that moose collisions cause property damage.', 'On the condition that most eyes contain yellow irises, it is definitely the case that depression is caused by changes in the brain and in other parts of the body that produce hormones.', "The statement that 'depression is caused by changes in the brain and in other parts of the body that produce hormones' is incorrect."]
|
Assuming the claim that milkweed has many large leaves, and it tends to grow in clumps does not correspond with reality, we know that some people mistakenly believe that pharmacology is the study of how drugs work. Given that it is a common misconception that either if masks used in performances of sacred dances are sacred and as such revered and kept so in temples, then some heat enhances seed germination or if the claim that milkweed has many large leaves, and it tends to grow in clumps does not correspond with reality, then pharmacology is the study of how drugs work, it can be inferred that adult toads are more terrestrial, more warty, and have drier skin than frogs. The statement that states socialism says the state owns the property and people just use it is right. On the condition that adult toads are more terrestrial, more warty, and have drier skin than frogs, it is definitely the case that most eyes contain yellow irises. Given that if rattlesnakes scare predators away with a combination of hissing and shaking their rattles, then moose collisions cause property damage, it can be inferred that if socialism says the state owns the property and people just use it, then the claim that if masks used in performances of sacred dances are sacred and as such revered and kept so in temples, then some heat enhances seed germination does not correspond with reality. Assuming rattlesnakes scare predators away with a combination of hissing and shaking their rattles, we know that moose collisions cause property damage. On the condition that most eyes contain yellow irises, it is definitely the case that depression is caused by changes in the brain and in other parts of the body that produce hormones. The statement that 'depression is caused by changes in the brain and in other parts of the body that produce hormones' is incorrect.
|
The statement 'milkweed has many large leaves, and it tends to grow in clumps' can be considered true.
|
Milkweeds have (part) nuclei.
|
Uncertain
|
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 Tonens:
If (Not (Either (If [2], then [3].) or (If (Not [0].), then [1].).).), then [4].
Not [4]. [SC2-3]
Therefore, Either (If [2], then [3].) or (If (Not [0].), then [1].)..
[SC2-3]
Modus Tonens:
If [4], then [6].
Not [6]. [SC2-4]
Therefore, Not [4]..
[SC2-4]
Modus Tonens:
If [6], then [9].
Not [9].
Therefore, Not [6]..
[SC2-2]
Modus Ponens:
If [5], then (Not (If [2], then [3].).). [SC1-3]
[5]
Therefore, Not (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If (If [7], then [8].), then (If [5], then (Not (If [2], then [3].).).).
If [7], then [8].
Therefore, If [5], then (Not (If [2], then [3].).)..
|
{0: 'Milkweed has many large leaves, and it tends to grow in clumps.', 1: 'Pharmacology is the study of how drugs work.', 2: 'Masks used in performances of sacred dances are sacred and as such revered and kept so in temples.', 3: 'Some heat enhances seed germination.', 4: 'Adult toads are more terrestrial, more warty, and have drier skin than frogs.', 5: 'Socialism says the state owns the property and people just use it.', 6: 'Most eyes contain yellow irises.', 7: 'Rattlesnakes scare predators away with a combination of hissing and shaking their rattles.', 8: 'Moose collisions cause property damage.', 9: 'Depression is caused by changes in the brain and in other parts of the body that produce hormones.'}
| 7 |
6,125 |
['The statement, most chlorophyll has similar chemical structures, does not hold.', 'The statement, atropine increases the size of the pupil of the eye, does not hold.', 'It is a common misconception that if gravity pulls down on airplanes and birds, then mumps is the leading cause of deafness.', "Should it be the case that fire is a natural occurrence in many of Florida's natural communities, it follows that either airports are where a great many robberies take place or either if gravity pulls down on airplanes and birds, then mumps is the leading cause of deafness or if we know that the claim that either most chlorophyll has similar chemical structures or those that suggest some clover has soil nutrient requirements are wrong is false, then atropine increases the size of the pupil of the eye.", "We can assume that fire is a natural occurrence in many of Florida's natural communities.", 'It is a fact that either chairs have seats or several medications are effective at eliminating tapeworm infections.', 'Should it be the case that the claim that if either chairs have seats or several medications are effective at eliminating tapeworm infections, then the statement that states airports are where a great many robberies take place is false does not correspond with reality, it follows that automobile safety involves a different set of technologies and issues.', 'When the claim that if either chairs have seats or several medications are effective at eliminating tapeworm infections, then the statement that states airports are where a great many robberies take place is false does not correspond with reality is true, it follows that the statement, automobile safety involves a different set of technologies and issues, does not hold.']
|
The statement, most chlorophyll has similar chemical structures, does not hold. The statement, atropine increases the size of the pupil of the eye, does not hold. It is a common misconception that if gravity pulls down on airplanes and birds, then mumps is the leading cause of deafness. Should it be the case that fire is a natural occurrence in many of Florida's natural communities, it follows that either airports are where a great many robberies take place or either if gravity pulls down on airplanes and birds, then mumps is the leading cause of deafness or if we know that the claim that either most chlorophyll has similar chemical structures or those that suggest some clover has soil nutrient requirements are wrong is false, then atropine increases the size of the pupil of the eye. We can assume that fire is a natural occurrence in many of Florida's natural communities. It is a fact that either chairs have seats or several medications are effective at eliminating tapeworm infections. Should it be the case that the claim that if either chairs have seats or several medications are effective at eliminating tapeworm infections, then the statement that states airports are where a great many robberies take place is false does not correspond with reality, it follows that automobile safety involves a different set of technologies and issues. When the claim that if either chairs have seats or several medications are effective at eliminating tapeworm infections, then the statement that states airports are where a great many robberies take place is false does not correspond with reality is true, it follows that the statement, automobile safety involves a different set of technologies and issues, does not hold.
|
Those that suggest some clover has soil nutrient requirements are wrong.
|
Some clover has soil nutrient requirements.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2]. [SC1-2]
Not [2].
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (Not (Either [1] or (Not [0].).).), then [2].). [SC1-3]
Not (If [3], then [4].).
Therefore, If (Not (Either [1] or (Not [0].).).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (Either (If [3], then [4].) or (If (Not (Either [1] or (Not [0].).).), then [2].).). [SC1-4]
Not [5]. [SC2-4]
Therefore, Either (If [3], then [4].) or (If (Not (Either [1] or (Not [0].).).), then [2].)..
[SC1-4]
Modus Ponens:
If [6], then (Either [5] or (Either (If [3], then [4].) or (If (Not (Either [1] or (Not [0].).).), then [2].).).).
[6]
Therefore, Either [5] or (Either (If [3], then [4].) or (If (Not (Either [1] or (Not [0].).).), then [2].).)..
[SC2-4]
Modus Ponens:
If (Either [7] or [8].), then (Not [5].). [SC1-5]
Either [7] or [8].
Therefore, Not [5]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Either [7] or [8].), then (Not [5].).).), then [9].
If (Not (If (Either [7] or [8].), then (Not [5].).).), then (Not [9].).
Therefore, If (Either [7] or [8].), then (Not [5].)..
|
{0: 'Some clover has soil nutrient requirements.', 1: 'Most chlorophyll has similar chemical structures.', 2: 'Atropine increases the size of the pupil of the eye.', 3: 'Gravity pulls down on airplanes and birds.', 4: 'Mumps is the leading cause of deafness.', 5: 'Airports are where a great many robberies take place.', 6: "Fire is a natural occurrence in many of Florida's natural communities.", 7: 'Chairs have seats.', 8: 'Several medications are effective at eliminating tapeworm infections.', 9: 'Automobile safety involves a different set of technologies and issues.'}
| 7 |
6,066 |
['When the claim that most crime actually occurs during the day, or inside buildings has no merit is true, it follows that some climatic fluctuations result in habitat fragmentation.', 'The claim that aDD is a neurological problem that affects at least five percent of the population has no merit.', 'One may reasonably assume that if it is not the case that if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then most individuals choose vegetarian diets, then light travels through air with little scattering.', "So long as it is not the case that if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then most individuals choose vegetarian diets, 'those that suggest light travels through air with little scattering are wrong' is true.", 'It is rational to believe that either aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants or either meadow voles use underground tunnels or digestion then occurs within a food vacuole.', 'If the claim that if aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false is false, then health is always an issue of concern for people traveling abroad.', "Provided that the claim that if aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false is false, we know that the notion that 'health is always an issue of concern for people traveling abroad' is untrue.", 'Either most people generally walk with their feet spread apart at shoulder width or if either meadow voles use underground tunnels or digestion then occurs within a food vacuole, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false.', 'It is a common misconception that most people generally walk with their feet spread apart at shoulder width.']
|
When the claim that most crime actually occurs during the day, or inside buildings has no merit is true, it follows that some climatic fluctuations result in habitat fragmentation. The claim that aDD is a neurological problem that affects at least five percent of the population has no merit. One may reasonably assume that if it is not the case that if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then most individuals choose vegetarian diets, then light travels through air with little scattering. So long as it is not the case that if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then most individuals choose vegetarian diets, 'those that suggest light travels through air with little scattering are wrong' is true. It is rational to believe that either aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants or either meadow voles use underground tunnels or digestion then occurs within a food vacuole. If the claim that if aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false is false, then health is always an issue of concern for people traveling abroad. Provided that the claim that if aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false is false, we know that the notion that 'health is always an issue of concern for people traveling abroad' is untrue. Either most people generally walk with their feet spread apart at shoulder width or if either meadow voles use underground tunnels or digestion then occurs within a food vacuole, then if the claim that either aDD is a neurological problem that affects at least five percent of the population or if the claim that most crime actually occurs during the day, or inside buildings has no merit, then the claim that some climatic fluctuations result in habitat fragmentation has no merit does not reflect reality, then we know that the claim that most individuals choose vegetarian diets is false. It is a common misconception that most people generally walk with their feet spread apart at shoulder width.
|
The claim that most crime actually occurs during the day, or inside buildings holds true.
|
The claim that most crime actually occurs during the day, or inside buildings holds true.
|
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].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3]. [SC1-3]
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].). [SC2-3]
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].).), then [4].
If (Not (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].).), then (Not [4].).
Therefore, If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3]..
[SC2-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).). [SC2-4]
If (Either [6] or [7].), then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).). [SC3-4]
Therefore, If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [5], then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).).).), then [8].
If (Not (If [5], then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).).).), then (Not [8].).
Therefore, If [5], then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).)..
[SC3-4]
Disjunctive Syllogism:
Either [9] or (If (Either [6] or [7].), then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).).).
Not [9].
Therefore, If (Either [6] or [7].), then (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).)..
|
{0: 'Most crime actually occurs during the day, or inside buildings.', 1: 'Some climatic fluctuations result in habitat fragmentation.', 2: 'ADD is a neurological problem that affects at least five percent of the population.', 3: 'Most individuals choose vegetarian diets.', 4: 'Light travels through air with little scattering.', 5: 'Aphids also produce a sticky substance called honeydew, which encourages fungus and attracts ants.', 6: 'Meadow voles use underground tunnels.', 7: 'Digestion then occurs within a food vacuole.', 8: 'Health is always an issue of concern for people traveling abroad.', 9: 'Most people generally walk with their feet spread apart at shoulder width.'}
| 7 |
6,908 |
['Either one or both of these statements are true: philosophers play a major role in the swelling tide of consciousness, or corporate entities find themselves working within government regulations.', 'When corporate entities find themselves working within government regulations is true, it follows that aspartame contains phenylalanine.', 'On the condition that the claim that if fish are located in sea, then discard is part of card games does not correspond with reality, it is definitely the case that some people mistakenly believe that construction cranes rise more numerous than trees.', "So long as the claim that if aspartame contains phenylalanine, then discard is part of card games is false, 'sauces are an essential element in cuisines all over the world' is true.", 'If we know that the claim that if philosophers play a major role in the swelling tide of consciousness, then fish are located in sea is false, then tropical lilies are available as night or day bloomers.', 'The claim that tropical lilies are available as night or day bloomers does not correspond with reality.', 'If the claim that if the claim that if fish are located in sea, then discard is part of card games does not correspond with reality, then construction cranes rise more numerous than trees is false, then students are trained in techniques.', 'Those that suggest students are trained in techniques are wrong.', 'Either earrings have surgical steel wires for pierced ears or it is not true that sauces are an essential element in cuisines all over the world.', 'It is a common misconception that earrings have surgical steel wires for pierced ears.']
|
Either one or both of these statements are true: philosophers play a major role in the swelling tide of consciousness, or corporate entities find themselves working within government regulations. When corporate entities find themselves working within government regulations is true, it follows that aspartame contains phenylalanine. On the condition that the claim that if fish are located in sea, then discard is part of card games does not correspond with reality, it is definitely the case that some people mistakenly believe that construction cranes rise more numerous than trees. So long as the claim that if aspartame contains phenylalanine, then discard is part of card games is false, 'sauces are an essential element in cuisines all over the world' is true. If we know that the claim that if philosophers play a major role in the swelling tide of consciousness, then fish are located in sea is false, then tropical lilies are available as night or day bloomers. The claim that tropical lilies are available as night or day bloomers does not correspond with reality. If the claim that if the claim that if fish are located in sea, then discard is part of card games does not correspond with reality, then construction cranes rise more numerous than trees is false, then students are trained in techniques. Those that suggest students are trained in techniques are wrong. Either earrings have surgical steel wires for pierced ears or it is not true that sauces are an essential element in cuisines all over the world. It is a common misconception that earrings have surgical steel wires for pierced ears.
|
The claim that discard is part of card games holds true.
|
Discard is abandonment.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [2].
Therefore, Either [1] or [2]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [1].).), then [9].
Not [9].
Therefore, If [3], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [6]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [6].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then [6].).), then [8].
Not [8].
Therefore, If (Not (If [1], then [0].).), then [6]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [5].
Not [5]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7].
Therefore, Not [5]..
|
{0: 'Discard is part of card games.', 1: 'Fish are located in sea.', 2: 'Aspartame contains phenylalanine.', 3: 'Philosophers play a major role in the swelling tide of consciousness.', 4: 'Corporate entities find themselves working within government regulations.', 5: 'Sauces are an essential element in cuisines all over the world.', 6: 'Construction cranes rise more numerous than trees.', 7: 'Earrings have surgical steel wires for pierced ears.', 8: 'Students are trained in techniques.', 9: 'Tropical lilies are available as night or day bloomers.'}
| 7 |
6,511 |
['We know that either power plants use nuclear energy or snakes are located in gullies.', 'Should it be the case that power plants use nuclear energy, it follows that if true communication is based on a shared understanding of the language used to convey messages, then newborns often show no signs of the disease until they are circumcised.', 'Assuming snakes are located in gullies, we know that if true communication is based on a shared understanding of the language used to convey messages, then newborns often show no signs of the disease until they are circumcised.', 'Assuming optical disks contain data stored optically rather than magnetically, we know that true communication is based on a shared understanding of the language used to convey messages.', 'On the condition that macrophages use different internalization mechanisms to clear apoptotic and necrotic cells, it is definitely the case that true communication is based on a shared understanding of the language used to convey messages.', 'Should it be the case that some beet leafhoppers transmit pathogen, it follows that either optical disks contain data stored optically rather than magnetically or macrophages use different internalization mechanisms to clear apoptotic and necrotic cells.', 'It is rational to believe that either either childhood food allergies have significant impact or female moths are typically ready to mate one week after eclosion , and do so only once or many astronomers take notes.', 'When either childhood food allergies have significant impact or female moths are typically ready to mate one week after eclosion , and do so only once is true, it follows that cells infected with non lytic viruses can continue to produce viral particles indefinitely.', 'Should it be the case that many astronomers take notes, it follows that some beet leafhoppers transmit pathogen.', 'Should it be the case that cells infected with non lytic viruses can continue to produce viral particles indefinitely, it follows that either heat detection relies on observations or people often call other meateating animals carnivores, too.', 'When cells infected with non lytic viruses can continue to produce viral particles indefinitely is true, it follows that the claim that either heat detection relies on observations or people often call other meateating animals carnivores, too has no merit.']
|
We know that either power plants use nuclear energy or snakes are located in gullies. Should it be the case that power plants use nuclear energy, it follows that if true communication is based on a shared understanding of the language used to convey messages, then newborns often show no signs of the disease until they are circumcised. Assuming snakes are located in gullies, we know that if true communication is based on a shared understanding of the language used to convey messages, then newborns often show no signs of the disease until they are circumcised. Assuming optical disks contain data stored optically rather than magnetically, we know that true communication is based on a shared understanding of the language used to convey messages. On the condition that macrophages use different internalization mechanisms to clear apoptotic and necrotic cells, it is definitely the case that true communication is based on a shared understanding of the language used to convey messages. Should it be the case that some beet leafhoppers transmit pathogen, it follows that either optical disks contain data stored optically rather than magnetically or macrophages use different internalization mechanisms to clear apoptotic and necrotic cells. It is rational to believe that either either childhood food allergies have significant impact or female moths are typically ready to mate one week after eclosion , and do so only once or many astronomers take notes. When either childhood food allergies have significant impact or female moths are typically ready to mate one week after eclosion , and do so only once is true, it follows that cells infected with non lytic viruses can continue to produce viral particles indefinitely. Should it be the case that many astronomers take notes, it follows that some beet leafhoppers transmit pathogen. Should it be the case that cells infected with non lytic viruses can continue to produce viral particles indefinitely, it follows that either heat detection relies on observations or people often call other meateating animals carnivores, too. When cells infected with non lytic viruses can continue to produce viral particles indefinitely is true, it follows that the claim that either heat detection relies on observations or people often call other meateating animals carnivores, too has no merit.
|
The statement that states newborns often show no signs of the disease until they are circumcised is right.
|
Newborns can see black and white and bright colors, like red and yellow.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [1], then [0].).
If [3], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then [1].
If [5], then [1].
Therefore, [1].
[SC1-2]
Modus Ponens:
If [6], then (Either [4] or [5].).
[6] [SC2-3]
Therefore, Either [4] or [5]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or [6]. [SC1-4]
Not [7]. [SC2-4]
Therefore, [6].
[SC1-4]
Constructive Dilemma:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then [7].
If [10], then [6].
Therefore, Either [7] or [6]..
[SC2-4]
Reductio Ad Absurdum:
If [7], then (Either [11] or [12].).
If [7], then (Not (Either [11] or [12].).).
Therefore, Not [7]..
|
{0: 'Newborns often show no signs of the disease until they are circumcised.', 1: 'True communication is based on a shared understanding of the language used to convey messages.', 2: 'Power plants use nuclear energy.', 3: 'Snakes are located in gullies.', 4: 'Optical disks contain data stored optically rather than magnetically.', 5: 'Macrophages use different internalization mechanisms to clear apoptotic and necrotic cells.', 6: 'Some beet leafhoppers transmit pathogen.', 7: 'Cells infected with non lytic viruses can continue to produce viral particles indefinitely.', 8: 'Childhood food allergies have significant impact.', 9: 'Female moths are typically ready to mate one week after eclosion , and do so only once.', 10: 'Many astronomers take notes.', 11: 'Heat detection relies on observations.', 12: 'People often call other meateating animals carnivores, too.'}
| 7 |
6,224 |
["Whenever it is true that some chromatin is part of choanocytes, 'the statement that 'if penguins have spiny tongues, then surgery isa science' is incorrect' is true.", "Should it be the case that hatred is sorrow with the accompanying idea of an external cause, it follows that the statement that 'if penguins have spiny tongues, then surgery isa science' is incorrect.", 'On the condition that the claim that all radon gas has a parent nucleus of lead does not reflect reality, it is definitely the case that hydrocarbons are the building blocks of coal, oil and other fossil fuels.', 'Either one or both of these statements are true: badgers have (part) chests, or either arginine is chemical compounds or vitamin E is a fat soluble antioxidant vitamin.', "Whenever it is true that badgers have (part) chests, 'either either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads or if all radon gas has a parent nucleus of lead, then either some chromatin is part of choanocytes or hatred is sorrow with the accompanying idea of an external cause' is true.", 'One may reasonably assume that if either arginine is chemical compounds or vitamin E is a fat soluble antioxidant vitamin, then either either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads or if all radon gas has a parent nucleus of lead, then either some chromatin is part of choanocytes or hatred is sorrow with the accompanying idea of an external cause.', 'We know that at least one of two things is true: academic integrity is fundamental to the pursuit of free inquiry and the free exchange of ideas, or the statement, either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads, does not hold.', 'It is not true that academic integrity is fundamental to the pursuit of free inquiry and the free exchange of ideas.', 'At least one of two things is true: either phonebooks have (part) sections or some people say that breakfast is the most important meal of the day, or minimum tillage allows farmers to increase machinery use efficiency, and control undesirable weeds.', "Whenever it is true that either phonebooks have (part) sections or some people say that breakfast is the most important meal of the day, 'if the claim that all radon gas has a parent nucleus of lead does not reflect reality, then the statement that 'hydrocarbons are the building blocks of coal, oil and other fossil fuels' is incorrect' is true.", "On the condition that minimum tillage allows farmers to increase machinery use efficiency, and control undesirable weeds, it is definitely the case that if the claim that all radon gas has a parent nucleus of lead does not reflect reality, then the statement that 'hydrocarbons are the building blocks of coal, oil and other fossil fuels' is incorrect."]
|
Whenever it is true that some chromatin is part of choanocytes, 'the statement that 'if penguins have spiny tongues, then surgery isa science' is incorrect' is true. Should it be the case that hatred is sorrow with the accompanying idea of an external cause, it follows that the statement that 'if penguins have spiny tongues, then surgery isa science' is incorrect. On the condition that the claim that all radon gas has a parent nucleus of lead does not reflect reality, it is definitely the case that hydrocarbons are the building blocks of coal, oil and other fossil fuels. Either one or both of these statements are true: badgers have (part) chests, or either arginine is chemical compounds or vitamin E is a fat soluble antioxidant vitamin. Whenever it is true that badgers have (part) chests, 'either either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads or if all radon gas has a parent nucleus of lead, then either some chromatin is part of choanocytes or hatred is sorrow with the accompanying idea of an external cause' is true. One may reasonably assume that if either arginine is chemical compounds or vitamin E is a fat soluble antioxidant vitamin, then either either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads or if all radon gas has a parent nucleus of lead, then either some chromatin is part of choanocytes or hatred is sorrow with the accompanying idea of an external cause. We know that at least one of two things is true: academic integrity is fundamental to the pursuit of free inquiry and the free exchange of ideas, or the statement, either peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail or pythons have heads, does not hold. It is not true that academic integrity is fundamental to the pursuit of free inquiry and the free exchange of ideas. At least one of two things is true: either phonebooks have (part) sections or some people say that breakfast is the most important meal of the day, or minimum tillage allows farmers to increase machinery use efficiency, and control undesirable weeds. Whenever it is true that either phonebooks have (part) sections or some people say that breakfast is the most important meal of the day, 'if the claim that all radon gas has a parent nucleus of lead does not reflect reality, then the statement that 'hydrocarbons are the building blocks of coal, oil and other fossil fuels' is incorrect' is true. On the condition that minimum tillage allows farmers to increase machinery use efficiency, and control undesirable weeds, it is definitely the case that if the claim that all radon gas has a parent nucleus of lead does not reflect reality, then the statement that 'hydrocarbons are the building blocks of coal, oil and other fossil fuels' is incorrect.
|
The statement that 'if penguins have spiny tongues, then surgery isa science' is incorrect.
|
So long as penguins have spiny tongues, 'surgery isa science' is true.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Not (If [0], then [1].).).
If [3], then (Not (If [0], then [1].).).
Therefore, Not (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]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [4], then (Either [2] or [3].).). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, If [4], then (Either [2] or [3].)..
[SC1-3]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (Either (Either [5] or [6].) or (If [4], then (Either [2] or [3].).).).
If (Either [10] or [11].), then (Either (Either [5] or [6].) or (If [4], then (Either [2] or [3].).).).
Therefore, Either (Either [5] or [6].) or (If [4], then (Either [2] or [3].).)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not (Either [5] or [6].).).
Not [8].
Therefore, Not (Either [5] or [6].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [7].
If (Not [4].), then (Not [7].). [SC2-3]
Therefore, [4].
[SC2-3]
Disjunction Elimination:
Either (Either [12] or [13].) or [14].
If (Either [12] or [13].), then (If (Not [4].), then (Not [7].).).
If [14], then (If (Not [4].), then (Not [7].).).
Therefore, If (Not [4].), then (Not [7].)..
|
{0: 'Penguins have spiny tongues.', 1: 'Surgery isa science.', 2: 'Some chromatin is part of choanocytes.', 3: 'Hatred is sorrow with the accompanying idea of an external cause.', 4: 'All radon gas has a parent nucleus of lead.', 5: 'Peruvian horses have a smooth lateral gait, a great disposition, and a long mane and tail.', 6: 'Pythons have heads.', 7: 'Hydrocarbons are the building blocks of coal, oil and other fossil fuels.', 8: 'Academic integrity is fundamental to the pursuit of free inquiry and the free exchange of ideas.', 9: 'Badgers have (part) chests.', 10: 'Arginine is chemical compounds.', 11: 'Vitamin E is a fat soluble antioxidant vitamin.', 12: 'Phonebooks have (part) sections.', 13: 'Some people say that breakfast is the most important meal of the day.', 14: 'Minimum tillage allows farmers to increase machinery use efficiency, and control undesirable weeds.'}
| 7 |
6,268 |
['It is not the case that tennis balls are spheres.', 'At least one of two things is true: blood clots can form at the plaque and cut off the flow of blood, or if storm isa phenomenon, then tennis balls are spheres.', 'It is a simple truth that some plants have principles.', "Whenever it is true that we know that the claim that either handicrafts are both practical implements and clothing and often have deep symbolic meaning or if some plants have principles, then it is not true that blood clots can form at the plaque and cut off the flow of blood is false, 'either scientists already know that ion channels are complex, able to open and close in different ways or gases released include Carbon monoxide, carbon dioxide, and fluorine' is true.", "The statement 'either scientists already know that ion channels are complex, able to open and close in different ways or gases released include Carbon monoxide, carbon dioxide, and fluorine' can be considered false.", 'We know that either most wildebeests have inherent instinct or the claim that handicrafts are both practical implements and clothing and often have deep symbolic meaning does not reflect reality.', 'At least one of two things is true: confusion isa state, or it is not the case that most wildebeests have inherent instinct.', 'The claim that confusion isa state is false.']
|
It is not the case that tennis balls are spheres. At least one of two things is true: blood clots can form at the plaque and cut off the flow of blood, or if storm isa phenomenon, then tennis balls are spheres. It is a simple truth that some plants have principles. Whenever it is true that we know that the claim that either handicrafts are both practical implements and clothing and often have deep symbolic meaning or if some plants have principles, then it is not true that blood clots can form at the plaque and cut off the flow of blood is false, 'either scientists already know that ion channels are complex, able to open and close in different ways or gases released include Carbon monoxide, carbon dioxide, and fluorine' is true. The statement 'either scientists already know that ion channels are complex, able to open and close in different ways or gases released include Carbon monoxide, carbon dioxide, and fluorine' can be considered false. We know that either most wildebeests have inherent instinct or the claim that handicrafts are both practical implements and clothing and often have deep symbolic meaning does not reflect reality. At least one of two things is true: confusion isa state, or it is not the case that most wildebeests have inherent instinct. The claim that confusion isa state is false.
|
The statement 'storm isa phenomenon' can be considered false.
|
The statement 'storm isa phenomenon' can be considered false.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3]
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [2].).). [SC1-4]
Not [4]. [SC2-4]
Therefore, If [3], then (Not [2].)..
[SC1-4]
Modus Tonens:
If (Not (Either [4] or (If [3], then (Not [2].).).).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either [4] or (If [3], then (Not [2].).)..
[SC2-4]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5]. [SC2-5]
Therefore, Not [4]..
[SC2-5]
Disjunctive Syllogism:
Either [8] or (Not [5].).
Not [8].
Therefore, Not [5]..
|
{0: 'Storm isa phenomenon.', 1: 'Tennis balls are spheres.', 2: 'Blood clots can form at the plaque and cut off the flow of blood.', 3: 'Some plants have principles.', 4: 'Handicrafts are both practical implements and clothing and often have deep symbolic meaning.', 5: 'Most wildebeests have inherent instinct.', 6: 'Scientists already know that ion channels are complex, able to open and close in different ways.', 7: 'Gases released include Carbon monoxide, carbon dioxide, and fluorine.', 8: 'Confusion isa state.'}
| 7 |
6,161 |
["Provided that it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, we know that the notion that 'tiny frogs have predators' is untrue.", 'One may reasonably assume that if either many affected dogs develop cataracts or a whitlow is infection, then tiny frogs have predators.', 'Once we know some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, we also know that the claim that most individuals involve in sports is false.', 'If it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then young otters suffer from reproductive abnormalities.', "Given that terminal development is disrupted in the dri maternal and zygotic mutant embryos, it can be inferred that if it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then the statement 'young otters suffer from reproductive abnormalities' can be considered false.", "Once we know most dogs have sharp teeth, we also know that if it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then the statement 'young otters suffer from reproductive abnormalities' can be considered false.", 'The claim that some diets improve verbal memory performance is false.', "If most snouts have functions, then if the statement 'either terminal development is disrupted in the dri maternal and zygotic mutant embryos or most dogs have sharp teeth' can be considered false, then some diets improve verbal memory performance.", 'The claim that most snouts have functions holds true.']
|
Provided that it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, we know that the notion that 'tiny frogs have predators' is untrue. One may reasonably assume that if either many affected dogs develop cataracts or a whitlow is infection, then tiny frogs have predators. Once we know some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, we also know that the claim that most individuals involve in sports is false. If it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then young otters suffer from reproductive abnormalities. Given that terminal development is disrupted in the dri maternal and zygotic mutant embryos, it can be inferred that if it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then the statement 'young otters suffer from reproductive abnormalities' can be considered false. Once we know most dogs have sharp teeth, we also know that if it is not true that if some people mistakenly believe that if it is not true that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient, then either many affected dogs develop cataracts or a whitlow is infection, then most individuals involve in sports, then the statement 'young otters suffer from reproductive abnormalities' can be considered false. The claim that some diets improve verbal memory performance is false. If most snouts have functions, then if the statement 'either terminal development is disrupted in the dri maternal and zygotic mutant embryos or most dogs have sharp teeth' can be considered false, then some diets improve verbal memory performance. The claim that most snouts have functions holds true.
|
The claim that nosocomial diseases are diseases spread through hospitals themselves, from patient to patient is true.
|
Those that suggest nosocomial diseases are diseases spread through hospitals themselves, from patient to patient are wrong.
|
FALSE
|
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 (Either [2] or [3].). [SC1-2]
If (Either [2] or [3].), then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4]. [SC1-3]
If (Not (If (Not [0].), then (Either [2] or [3].).).), then (Not [4].).
Therefore, If (Not [0].), then (Either [2] or [3].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4].).), then [5].
If (Not (If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4].).), then (Not [5].). [SC2-4]
Therefore, If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4]..
[SC2-4]
Disjunction Elimination:
Either [6] or [7]. [SC1-5]
If [6], then (If (Not (If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4].).), then (Not [5].).).
If [7], then (If (Not (If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4].).), then (Not [5].).).
Therefore, If (Not (If (Not (If (Not [0].), then (Either [2] or [3].).).), then [4].).), then (Not [5].)..
[SC1-5]
Modus Tonens:
If (Not (Either [6] or [7].).), then [8]. [SC1-6]
Not [8].
Therefore, Either [6] or [7]..
[SC1-6]
Modus Ponens:
If [9], then (If (Not (Either [6] or [7].).), then [8].).
[9]
Therefore, If (Not (Either [6] or [7].).), then [8]..
|
{0: 'Nosocomial diseases are diseases spread through hospitals themselves, from patient to patient.', 1: 'Tiny frogs have predators.', 2: 'Many affected dogs develop cataracts.', 3: 'A whitlow is infection.', 4: 'Most individuals involve in sports.', 5: 'Young otters suffer from reproductive abnormalities.', 6: 'Terminal development is disrupted in the dri maternal and zygotic mutant embryos.', 7: 'Most dogs have sharp teeth.', 8: 'Some diets improve verbal memory performance.', 9: 'Most snouts have functions.'}
| 7 |
6,813 |
['Given that those that suggest white mangrove has scaly, reddish brown bark and greenish white flowers are wrong, it can be inferred that coaxial cable is very expensive and used for high speed access.', 'The statement that states societies require labor is false.', "Once we know most plants produce fragrant leaves, we also know that if the statement that states if the statement, if those that suggest white mangrove has scaly, reddish brown bark and greenish white flowers are wrong, then the statement 'coaxial cable is very expensive and used for high speed access' can be considered false, does not hold, then societies require labor is false, then brain tumors are the most common solid tumor of childhood.", 'The claim that most plants produce fragrant leaves is true.', "Whenever it is true that brain tumors are the most common solid tumor of childhood, 'sunspots grow larger as time goes on' is true.", 'Should it be the case that sunspots grow larger as time goes on, it follows that some male animals give food to possible mates.', 'Assuming some male animals give food to possible mates, we know that alcohol reduces blood flow to the brain.', 'Should it be the case that some male animals give food to possible mates, it follows that the statement, alcohol reduces blood flow to the brain, does not hold.']
|
Given that those that suggest white mangrove has scaly, reddish brown bark and greenish white flowers are wrong, it can be inferred that coaxial cable is very expensive and used for high speed access. The statement that states societies require labor is false. Once we know most plants produce fragrant leaves, we also know that if the statement that states if the statement, if those that suggest white mangrove has scaly, reddish brown bark and greenish white flowers are wrong, then the statement 'coaxial cable is very expensive and used for high speed access' can be considered false, does not hold, then societies require labor is false, then brain tumors are the most common solid tumor of childhood. The claim that most plants produce fragrant leaves is true. Whenever it is true that brain tumors are the most common solid tumor of childhood, 'sunspots grow larger as time goes on' is true. Should it be the case that sunspots grow larger as time goes on, it follows that some male animals give food to possible mates. Assuming some male animals give food to possible mates, we know that alcohol reduces blood flow to the brain. Should it be the case that some male animals give food to possible mates, it follows that the statement, alcohol reduces blood flow to the brain, does not hold.
|
The statement 'white mangrove has scaly, reddish brown bark and greenish white flowers' is true.
|
Some people mistakenly believe that white mangrove has scaly, reddish brown bark and greenish white flowers.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Modus Ponens:
If [5], then (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3].).
[5]
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3]..
[SC2-3]
Modus Tonens:
If [3], then [4]. [SC1-4]
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC1-4]
Hypothetical Syllogism:
If [3], then [6].
If [6], then [4].
Therefore, If [3], then [4]..
[SC2-4]
Reductio Ad Absurdum:
If [4], then [7].
If [4], then (Not [7].).
Therefore, Not [4]..
|
{0: 'White mangrove has scaly, reddish brown bark and greenish white flowers.', 1: 'Coaxial cable is very expensive and used for high speed access.', 2: 'Societies require labor.', 3: 'Brain tumors are the most common solid tumor of childhood.', 4: 'Some male animals give food to possible mates.', 5: 'Most plants produce fragrant leaves.', 6: 'Sunspots grow larger as time goes on.', 7: 'Alcohol reduces blood flow to the brain.'}
| 7 |
6,618 |
["When the statement that 'either fire is a natural disturbance that affects oak forests or historiography is, of course, the writing of history, or the study thereof' is incorrect is true, it follows that it is not true that permeability is the capability of a rock or sediment to allow the passage of fluids.", 'We know that either succulents are herbaceous plants or modules offer functions.', 'Given that succulents are herbaceous plants, it can be inferred that if fire is a natural disturbance that affects oak forests, then humans are a remarkably homogeneous species.', 'Given that modules offer functions, it can be inferred that if fire is a natural disturbance that affects oak forests, then humans are a remarkably homogeneous species.', 'If historiography is, of course, the writing of history, or the study thereof, then subterranean termites construct four types of tubes or tunnels.', 'One may reasonably assume that if subterranean termites construct four types of tubes or tunnels, then humans are a remarkably homogeneous species.', "Whenever it is true that if children develop peanut allergies, then twigs have diameters, 'if it is not the case that if the statement that 'either fire is a natural disturbance that affects oak forests or historiography is, of course, the writing of history, or the study thereof' is incorrect, then permeability is the capability of a rock or sediment to allow the passage of fluids, then blondes tend to have more hair follicles than brunettes, and brunettes more than redheads' is true.", 'Provided that children develop peanut allergies, we know that twigs have diameters.', 'Given that blondes tend to have more hair follicles than brunettes, and brunettes more than redheads, it can be inferred that if rice bran is an excellent source of fat, then productive work is central to human dignity and happiness.', 'Assuming blondes tend to have more hair follicles than brunettes, and brunettes more than redheads, we know that the statement that states if rice bran is an excellent source of fat, then productive work is central to human dignity and happiness is false.']
|
When the statement that 'either fire is a natural disturbance that affects oak forests or historiography is, of course, the writing of history, or the study thereof' is incorrect is true, it follows that it is not true that permeability is the capability of a rock or sediment to allow the passage of fluids. We know that either succulents are herbaceous plants or modules offer functions. Given that succulents are herbaceous plants, it can be inferred that if fire is a natural disturbance that affects oak forests, then humans are a remarkably homogeneous species. Given that modules offer functions, it can be inferred that if fire is a natural disturbance that affects oak forests, then humans are a remarkably homogeneous species. If historiography is, of course, the writing of history, or the study thereof, then subterranean termites construct four types of tubes or tunnels. One may reasonably assume that if subterranean termites construct four types of tubes or tunnels, then humans are a remarkably homogeneous species. Whenever it is true that if children develop peanut allergies, then twigs have diameters, 'if it is not the case that if the statement that 'either fire is a natural disturbance that affects oak forests or historiography is, of course, the writing of history, or the study thereof' is incorrect, then permeability is the capability of a rock or sediment to allow the passage of fluids, then blondes tend to have more hair follicles than brunettes, and brunettes more than redheads' is true. Provided that children develop peanut allergies, we know that twigs have diameters. Given that blondes tend to have more hair follicles than brunettes, and brunettes more than redheads, it can be inferred that if rice bran is an excellent source of fat, then productive work is central to human dignity and happiness. Assuming blondes tend to have more hair follicles than brunettes, and brunettes more than redheads, we know that the statement that states if rice bran is an excellent source of fat, then productive work is central to human dignity and happiness is false.
|
It is true that humans are a remarkably homogeneous species.
|
It is true that humans are a remarkably homogeneous species.
|
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]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [3].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [2].).), then [3].).), then [7]. [SC1-3]
Not [7]. [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC1-3]
Modus Ponens:
If (If [10], then [11].), then (If (Not (If (Not (Either [1] or [2].).), then [3].).), then [7].).
If [10], then [11].
Therefore, If (Not (If (Not (Either [1] or [2].).), then [3].).), then [7]..
[SC2-3]
Reductio Ad Absurdum:
If [7], then (If [8], then [9].).
If [7], then (Not (If [8], then [9].).).
Therefore, Not [7]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then [0].).
If [6], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0].
Therefore, If [2], then [0]..
|
{0: 'Humans are a remarkably homogeneous species.', 1: 'Fire is a natural disturbance that affects oak forests.', 2: 'Historiography is, of course, the writing of history, or the study thereof.', 3: 'Permeability is the capability of a rock or sediment to allow the passage of fluids.', 4: 'Subterranean termites construct four types of tubes or tunnels.', 5: 'Succulents are herbaceous plants.', 6: 'Modules offer functions.', 7: 'Blondes tend to have more hair follicles than brunettes, and brunettes more than redheads.', 8: 'Rice bran is an excellent source of fat.', 9: 'Productive work is central to human dignity and happiness.', 10: 'Children develop peanut allergies.', 11: 'Twigs have diameters.'}
| 7 |
6,676 |
['When it is not the case that either either plants fail to flower for several reasons or animals expel dry air or some snakes eat stoats is true, it follows that some ectotherms gain energy.', 'One may reasonably assume that if it is not the case that either either plants fail to flower for several reasons or animals expel dry air or some snakes eat stoats, then some people mistakenly believe that some ectotherms gain energy.', 'It is rational to believe that either if frostbite is illnesses, then stroke is the third leading killer in the U.S. and the most common cause of adult-disability or some diarrhea is caused by parasites.', 'Once we know if frostbite is illnesses, then stroke is the third leading killer in the U.S. and the most common cause of adult-disability, we also know that if either plants fail to flower for several reasons or animals expel dry air, then soil water is drier through the winter and stayed wetter through the summer.', 'Once we know some diarrhea is caused by parasites, we also know that if either plants fail to flower for several reasons or animals expel dry air, then soil water is drier through the winter and stayed wetter through the summer.', 'Assuming the claim that if some snakes eat stoats, then soil water is drier through the winter and stayed wetter through the summer has no merit, we know that natural selections have effects.', 'We know that either collection agencies are service companies or local culture mediates the globalisation processes.', 'Assuming collection agencies are service companies, we know that the claim that natural selections have effects has no merit.', 'On the condition that cigarette butts can pose a fire hazard, it is definitely the case that animals have functions.', 'Should it be the case that the claim that if if cigarette butts can pose a fire hazard, then animals have functions, then if local culture mediates the globalisation processes, then the claim that natural selections have effects has no merit is false, it follows that some cacti have skin.', 'We know that the claim that some cacti have skin is false.']
|
When it is not the case that either either plants fail to flower for several reasons or animals expel dry air or some snakes eat stoats is true, it follows that some ectotherms gain energy. One may reasonably assume that if it is not the case that either either plants fail to flower for several reasons or animals expel dry air or some snakes eat stoats, then some people mistakenly believe that some ectotherms gain energy. It is rational to believe that either if frostbite is illnesses, then stroke is the third leading killer in the U.S. and the most common cause of adult-disability or some diarrhea is caused by parasites. Once we know if frostbite is illnesses, then stroke is the third leading killer in the U.S. and the most common cause of adult-disability, we also know that if either plants fail to flower for several reasons or animals expel dry air, then soil water is drier through the winter and stayed wetter through the summer. Once we know some diarrhea is caused by parasites, we also know that if either plants fail to flower for several reasons or animals expel dry air, then soil water is drier through the winter and stayed wetter through the summer. Assuming the claim that if some snakes eat stoats, then soil water is drier through the winter and stayed wetter through the summer has no merit, we know that natural selections have effects. We know that either collection agencies are service companies or local culture mediates the globalisation processes. Assuming collection agencies are service companies, we know that the claim that natural selections have effects has no merit. On the condition that cigarette butts can pose a fire hazard, it is definitely the case that animals have functions. Should it be the case that the claim that if if cigarette butts can pose a fire hazard, then animals have functions, then if local culture mediates the globalisation processes, then the claim that natural selections have effects has no merit is false, it follows that some cacti have skin. We know that the claim that some cacti have skin is false.
|
The claim that soil water is drier through the winter and stayed wetter through the summer is true.
|
Soil water is the water held in pore spaces between soil particles.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [4].
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If (Either [1] or [2].), then [0].).
If [7], then (If (Either [1] or [2].), then [0].).
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [8].
Not [8]. [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [8].).
If [10], then (Not [8].). [SC3-3]
Therefore, Not [8]..
[SC3-3]
Modus Ponens:
If (If [11], then [12].), then (If [10], then (Not [8].).). [SC1-4]
If [11], then [12].
Therefore, If [10], then (Not [8].)..
[SC1-4]
Modus Tonens:
If (Not (If (If [11], then [12].), then (If [10], then (Not [8].).).).), then [13].
Not [13].
Therefore, If (If [11], then [12].), then (If [10], then (Not [8].).)..
|
{0: 'Soil water is drier through the winter and stayed wetter through the summer.', 1: 'Plants fail to flower for several reasons.', 2: 'Animals expel dry air.', 3: 'Some snakes eat stoats.', 4: 'Some ectotherms gain energy.', 5: 'Frostbite is illnesses.', 6: 'Stroke is the third leading killer in the U.S. and the most common cause of adult-disability.', 7: 'Some diarrhea is caused by parasites.', 8: 'Natural selections have effects.', 9: 'Collection agencies are service companies.', 10: 'Local culture mediates the globalisation processes.', 11: 'Cigarette butts can pose a fire hazard.', 12: 'Animals have functions.', 13: 'Some cacti have skin.'}
| 7 |
6,178 |
["Whenever it is true that family size varies from a single parent with one child to a family of six, 'works are what determines a person s eternal destiny' is true.", 'One may reasonably assume that if the claim that if works are what determines a person s eternal destiny, then mood swings can be spontaneous, or triggered by an event is false, then sunflower plants require exposure.', 'It is not true that sunflower plants require exposure.', 'Provided that it is a common misconception that if works are what determines a person s eternal destiny, then some people mistakenly believe that mood swings can be spontaneous, or triggered by an event, we know that the statement that states mosquitoes threaten parts of the United States with the deadly West Nile virus is false.', 'It is rational to believe that either some feathers cover feet or if it is a common misconception that if works are what determines a person s eternal destiny, then some people mistakenly believe that mood swings can be spontaneous, or triggered by an event, then mosquitoes threaten parts of the United States with the deadly West Nile virus.', "The statement 'cheese has holes' can be considered false.", "One may reasonably assume that if numidy feathers have a straight stem and a very long, dropping fiber, then either cheese has holes or the notion that 'some feathers cover feet' is untrue.", 'The claim that numidy feathers have a straight stem and a very long, dropping fiber is true.']
|
Whenever it is true that family size varies from a single parent with one child to a family of six, 'works are what determines a person s eternal destiny' is true. One may reasonably assume that if the claim that if works are what determines a person s eternal destiny, then mood swings can be spontaneous, or triggered by an event is false, then sunflower plants require exposure. It is not true that sunflower plants require exposure. Provided that it is a common misconception that if works are what determines a person s eternal destiny, then some people mistakenly believe that mood swings can be spontaneous, or triggered by an event, we know that the statement that states mosquitoes threaten parts of the United States with the deadly West Nile virus is false. It is rational to believe that either some feathers cover feet or if it is a common misconception that if works are what determines a person s eternal destiny, then some people mistakenly believe that mood swings can be spontaneous, or triggered by an event, then mosquitoes threaten parts of the United States with the deadly West Nile virus. The statement 'cheese has holes' can be considered false. One may reasonably assume that if numidy feathers have a straight stem and a very long, dropping fiber, then either cheese has holes or the notion that 'some feathers cover feet' is untrue. The claim that numidy feathers have a straight stem and a very long, dropping fiber is true.
|
We know that the claim that family size varies from a single parent with one child to a family of six is false.
|
Those that suggest family size varies from a single parent with one child to a family of six are right.
|
FALSE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [3].
Not [3].
Therefore, If [1], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then [4]. [SC1-3]
If (Not (If [1], then (Not [2].).).), then (Not [4].).
Therefore, If [1], then (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If (Not (If [1], then (Not [2].).).), then [4].).
Not [5]. [SC2-4]
Therefore, If (Not (If [1], then (Not [2].).).), then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (Not [5].). [SC1-5]
Not [6].
Therefore, Not [5]..
[SC1-5]
Modus Ponens:
If [7], then (Either [6] or (Not [5].).).
[7]
Therefore, Either [6] or (Not [5].)..
|
{0: 'Family size varies from a single parent with one child to a family of six.', 1: 'Works are what determines a person s eternal destiny.', 2: 'Mood swings can be spontaneous, or triggered by an event.', 3: 'Sunflower plants require exposure.', 4: 'Mosquitoes threaten parts of the United States with the deadly West Nile virus.', 5: 'Some feathers cover feet.', 6: 'Cheese has holes.', 7: 'Numidy feathers have a straight stem and a very long, dropping fiber.'}
| 7 |
6,950 |
['It is a fact that either either patterns suggest interaction or some molds release spores that are small enough to remain airborne or if static electricity is an electrical charge on the surface of an object, then firearms are used for killing.', 'Assuming either patterns suggest interaction or some molds release spores that are small enough to remain airborne, we know that either light infestations occur during the summer months or skin tones range from almost pure white to slightly pale human flesh color.', "Whenever it is true that if static electricity is an electrical charge on the surface of an object, then firearms are used for killing, 'either light infestations occur during the summer months or skin tones range from almost pure white to slightly pale human flesh color' is true.", 'At least one of two things is true: privatized jobs return to the public sector as governments discover the flaws of contracting out, or sexual activity can stimulate vaginal secretions.', 'Given that privatized jobs return to the public sector as governments discover the flaws of contracting out, it can be inferred that if light infestations occur during the summer months, then most tiger beetles use legs.', 'Should it be the case that sexual activity can stimulate vaginal secretions, it follows that if light infestations occur during the summer months, then most tiger beetles use legs.', 'It is not true that if oil extraction is another cause of oil spill, then depression can make diagnosing narcolepsy difficult.', 'The statement, potassium now flows out of the cell, with the result that the membrane potential is re-established, does not hold.', 'Many people rightly believe that stepmothers have (part) human bodies.', 'Once we know stepmothers have (part) human bodies, we also know that if physical activity offers a variety of benefits for individuals with autism, then relief workers to obtain information.', 'Provided that if physical activity offers a variety of benefits for individuals with autism, then relief workers to obtain information, we know that if it is not the case that if the statement, if skin tones range from almost pure white to slightly pale human flesh color, then incinerators reduce the volume of garbage that has to be dumped, does not hold, then if oil extraction is another cause of oil spill, then depression can make diagnosing narcolepsy difficult, then potassium now flows out of the cell, with the result that the membrane potential is re-established.']
|
It is a fact that either either patterns suggest interaction or some molds release spores that are small enough to remain airborne or if static electricity is an electrical charge on the surface of an object, then firearms are used for killing. Assuming either patterns suggest interaction or some molds release spores that are small enough to remain airborne, we know that either light infestations occur during the summer months or skin tones range from almost pure white to slightly pale human flesh color. Whenever it is true that if static electricity is an electrical charge on the surface of an object, then firearms are used for killing, 'either light infestations occur during the summer months or skin tones range from almost pure white to slightly pale human flesh color' is true. At least one of two things is true: privatized jobs return to the public sector as governments discover the flaws of contracting out, or sexual activity can stimulate vaginal secretions. Given that privatized jobs return to the public sector as governments discover the flaws of contracting out, it can be inferred that if light infestations occur during the summer months, then most tiger beetles use legs. Should it be the case that sexual activity can stimulate vaginal secretions, it follows that if light infestations occur during the summer months, then most tiger beetles use legs. It is not true that if oil extraction is another cause of oil spill, then depression can make diagnosing narcolepsy difficult. The statement, potassium now flows out of the cell, with the result that the membrane potential is re-established, does not hold. Many people rightly believe that stepmothers have (part) human bodies. Once we know stepmothers have (part) human bodies, we also know that if physical activity offers a variety of benefits for individuals with autism, then relief workers to obtain information. Provided that if physical activity offers a variety of benefits for individuals with autism, then relief workers to obtain information, we know that if it is not the case that if the statement, if skin tones range from almost pure white to slightly pale human flesh color, then incinerators reduce the volume of garbage that has to be dumped, does not hold, then if oil extraction is another cause of oil spill, then depression can make diagnosing narcolepsy difficult, then potassium now flows out of the cell, with the result that the membrane potential is re-established.
|
Either one or both of these statements are true: most tiger beetles use legs, or incinerators reduce the volume of garbage that has to be dumped.
|
There is good reason to believe that either tiger beetles have patterns or incinerators require landfills for their toxic ash.
|
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]
Disjunction Elimination:
Either (Either [8] or [9].) or (If [10], then [11].).
If (Either [8] or [9].), then (Either [2] or [3].).
If (If [10], then [11].), then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [0].).
If [5], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [1].).), then (If [6], then [7].). [SC1-2]
Not (If [6], then [7].).
Therefore, If [3], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [3], then [1].).), then (If [6], then [7].).).), then [12]. [SC1-3]
Not [12].
Therefore, If (Not (If [3], then [1].).), then (If [6], then [7].)..
[SC1-3]
Modus Ponens:
If [13], then (If (Not (If (Not (If [3], then [1].).), then (If [6], then [7].).).), then [12].). [SC1-4]
[13]
Therefore, If (Not (If (Not (If [3], then [1].).), then (If [6], then [7].).).), then [12]..
[SC1-4]
Hypothetical Syllogism:
If [13], then (If [14], then [15].).
If (If [14], then [15].), then (If (Not (If (Not (If [3], then [1].).), then (If [6], then [7].).).), then [12].).
Therefore, If [13], then (If (Not (If (Not (If [3], then [1].).), then (If [6], then [7].).).), then [12].)..
|
{0: 'Most tiger beetles use legs.', 1: 'Incinerators reduce the volume of garbage that has to be dumped.', 2: 'Light infestations occur during the summer months.', 3: 'Skin tones range from almost pure white to slightly pale human flesh color.', 4: 'Privatized jobs return to the public sector as governments discover the flaws of contracting out.', 5: 'Sexual activity can stimulate vaginal secretions.', 6: 'Oil extraction is another cause of oil spill.', 7: 'Depression can make diagnosing narcolepsy difficult.', 8: 'Patterns suggest interaction.', 9: 'Some molds release spores that are small enough to remain airborne.', 10: 'Static electricity is an electrical charge on the surface of an object.', 11: 'Firearms are used for killing.', 12: 'Potassium now flows out of the cell, with the result that the membrane potential is re-established.', 13: 'Stepmothers have (part) human bodies.', 14: 'Physical activity offers a variety of benefits for individuals with autism.', 15: 'Relief workers to obtain information.'}
| 7 |
6,415 |
['We know that either fingers are used for types or if hamsters are nocturnal creatures, which means that they like to sleep all day, then hemolytic anemia is difficult to treat, and treatment depends on the cause.', 'Assuming it is not true that if hamsters are nocturnal creatures, which means that they like to sleep all day, then the statement, hemolytic anemia is difficult to treat, and treatment depends on the cause, does not hold, we know that wheel bugs feed by piercing the host and injecting a potent saliva into the prey.', 'The statement, wheel bugs feed by piercing the host and injecting a potent saliva into the prey, does not hold.', "So long as some doctors recommend yogurt, 'it is a common misconception that fingers are used for types' is true.", 'Either one or both of these statements are true: overweight birds can have health problems, as do underweight birds, or either some doctors recommend yogurt or twilight times vary with season.', 'Once we know the claim that if twilight times vary with season, then it is a common misconception that fingers are used for types does not correspond with reality, we also know that most soft drinks contain artificial colorants, caffeine, sugar, or artificial sweeteners.', "Should it be the case that the claim that if twilight times vary with season, then it is a common misconception that fingers are used for types does not correspond with reality, it follows that the notion that 'most soft drinks contain artificial colorants, caffeine, sugar, or artificial sweeteners' is untrue.", 'There is good reason to believe that either chimps are by comparison slow and ponderous in trees or some bats have rabies.', 'Should it be the case that chimps are by comparison slow and ponderous in trees, it follows that it is not the case that overweight birds can have health problems, as do underweight birds.', 'On the condition that some bats have rabies, it is definitely the case that it is not the case that overweight birds can have health problems, as do underweight birds.']
|
We know that either fingers are used for types or if hamsters are nocturnal creatures, which means that they like to sleep all day, then hemolytic anemia is difficult to treat, and treatment depends on the cause. Assuming it is not true that if hamsters are nocturnal creatures, which means that they like to sleep all day, then the statement, hemolytic anemia is difficult to treat, and treatment depends on the cause, does not hold, we know that wheel bugs feed by piercing the host and injecting a potent saliva into the prey. The statement, wheel bugs feed by piercing the host and injecting a potent saliva into the prey, does not hold. So long as some doctors recommend yogurt, 'it is a common misconception that fingers are used for types' is true. Either one or both of these statements are true: overweight birds can have health problems, as do underweight birds, or either some doctors recommend yogurt or twilight times vary with season. Once we know the claim that if twilight times vary with season, then it is a common misconception that fingers are used for types does not correspond with reality, we also know that most soft drinks contain artificial colorants, caffeine, sugar, or artificial sweeteners. Should it be the case that the claim that if twilight times vary with season, then it is a common misconception that fingers are used for types does not correspond with reality, it follows that the notion that 'most soft drinks contain artificial colorants, caffeine, sugar, or artificial sweeteners' is untrue. There is good reason to believe that either chimps are by comparison slow and ponderous in trees or some bats have rabies. Should it be the case that chimps are by comparison slow and ponderous in trees, it follows that it is not the case that overweight birds can have health problems, as do underweight birds. On the condition that some bats have rabies, it is definitely the case that it is not the case that overweight birds can have health problems, as do underweight birds.
|
Those that suggest hamsters are nocturnal creatures, which means that they like to sleep all day are wrong.
|
Those that suggest hamsters are nocturnal creatures, which means that they like to sleep all day are wrong.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Not [2].).
If [5], then (Not [2].). [SC3-3]
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either [4] or [5].).
Not [7]. [SC2-4]
Therefore, Either [4] or [5]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Not [2].).).), then [6].
If (Not (If [5], then (Not [2].).).), then (Not [6].).
Therefore, If [5], then (Not [2].)..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [3].
Not [3].
Therefore, If [0], then (Not [1].)..
|
{0: 'Hamsters are nocturnal creatures, which means that they like to sleep all day.', 1: 'Hemolytic anemia is difficult to treat, and treatment depends on the cause.', 2: 'Fingers are used for types.', 3: 'Wheel bugs feed by piercing the host and injecting a potent saliva into the prey.', 4: 'Some doctors recommend yogurt.', 5: 'Twilight times vary with season.', 6: 'Most soft drinks contain artificial colorants, caffeine, sugar, or artificial sweeteners.', 7: 'Overweight birds can have health problems, as do underweight birds.', 8: 'Chimps are by comparison slow and ponderous in trees.', 9: 'Some bats have rabies.'}
| 7 |
6,100 |
['Either one or both of these statements are true: plant marigolds to deter pests, or larval stages last from months.', 'If plant marigolds to deter pests, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit.', 'There is good reason to believe that either democracy offers the greatest chance for people to realize their full potential or services are aid.', 'On the condition that democracy offers the greatest chance for people to realize their full potential, it is definitely the case that if active surveillance is conducted to determine incidence of disease, then if larval stages last from months, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit.', 'Should it be the case that services are aid, it follows that crystals have different types of symmetry and different kinds of faces.', 'Once we know crystals have different types of symmetry and different kinds of faces, we also know that if active surveillance is conducted to determine incidence of disease, then if larval stages last from months, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit.', 'Once we know those that suggest active surveillance is conducted to determine incidence of disease are wrong, we also know that people normally have a dip in their blood pressure during the night.', 'Should it be the case that people normally have a dip in their blood pressure during the night, it follows that wildlife pays a heavy price for livestock grazing.', "When all diseases are reversible is true, it follows that the notion that 'wildlife pays a heavy price for livestock grazing' is untrue.", 'It is fair to say that all diseases are reversible .']
|
Either one or both of these statements are true: plant marigolds to deter pests, or larval stages last from months. If plant marigolds to deter pests, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit. There is good reason to believe that either democracy offers the greatest chance for people to realize their full potential or services are aid. On the condition that democracy offers the greatest chance for people to realize their full potential, it is definitely the case that if active surveillance is conducted to determine incidence of disease, then if larval stages last from months, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit. Should it be the case that services are aid, it follows that crystals have different types of symmetry and different kinds of faces. Once we know crystals have different types of symmetry and different kinds of faces, we also know that if active surveillance is conducted to determine incidence of disease, then if larval stages last from months, then the claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit. Once we know those that suggest active surveillance is conducted to determine incidence of disease are wrong, we also know that people normally have a dip in their blood pressure during the night. Should it be the case that people normally have a dip in their blood pressure during the night, it follows that wildlife pays a heavy price for livestock grazing. When all diseases are reversible is true, it follows that the notion that 'wildlife pays a heavy price for livestock grazing' is untrue. It is fair to say that all diseases are reversible .
|
The claim that if spheres have diameters, then all audio sources have an output load capacity, called output impedance has no merit.
|
When spheres have diameters is true, it follows that all audio sources have an output load capacity, called output impedance.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not (If [0], then [1].).).
If [3], then (Not (If [0], then [1].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC3-1]
Modus Ponens:
If [4], then (If [3], then (Not (If [0], then [1].).).). [SC1-2]
[4] [SC2-2]
Therefore, If [3], then (Not (If [0], then [1].).)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (If [3], then (Not (If [0], then [1].).).).).
If [7], then (If [4], then (If [3], then (Not (If [0], then [1].).).).). [SC3-3]
Therefore, If [4], then (If [3], then (Not (If [0], then [1].).).)..
[SC3-3]
Hypothetical Syllogism:
If [7], then [9].
If [9], then (If [4], then (If [3], then (Not (If [0], then [1].).).).).
Therefore, If [7], then (If [4], then (If [3], then (Not (If [0], then [1].).).).)..
[SC2-2]
Modus Tonens:
If (Not [4].), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, [4].
[SC1-3]
Hypothetical Syllogism:
If (Not [4].), then [8].
If [8], then [5].
Therefore, If (Not [4].), then [5]..
[SC2-3]
Modus Ponens:
If [10], then (Not [5].).
[10]
Therefore, Not [5]..
|
{0: 'Spheres have diameters.', 1: 'All audio sources have an output load capacity, called output impedance.', 2: 'Plant marigolds to deter pests.', 3: 'Larval stages last from months.', 4: 'Active surveillance is conducted to determine incidence of disease.', 5: 'Wildlife pays a heavy price for livestock grazing.', 6: 'Democracy offers the greatest chance for people to realize their full potential.', 7: 'Services are aid.', 8: 'People normally have a dip in their blood pressure during the night.', 9: 'Crystals have different types of symmetry and different kinds of faces.', 10: 'All diseases are reversible .'}
| 7 |
6,733 |
['If interstitial oedema impairs blood flow .Activation of the kallikrein and kinin system occurs, then food includes whole wheat bread.', "Should it be the case that the statement that 'either interstitial oedema impairs blood flow .Activation of the kallikrein and kinin system occurs or many elderly people experience mild cognitive impairments' is incorrect, it follows that biotechnology is responsible for breakthroughs that have benefitted people for centuries.", 'The statement, biotechnology is responsible for breakthroughs that have benefitted people for centuries, does not hold.', "Whenever it is true that it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, 'some people mistakenly believe that if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver' is true.", 'We know that at least one of two things is true: greenways are corridors of open space that connect recreational, cultural or natural areas, or either abiotic data exists in the form of climate records, maps and air photos, and pollution records or angel sharks tend to live in fairly shallow seas, feeding on bottom-living animals.', "So long as either abiotic data exists in the form of climate records, maps and air photos, and pollution records or angel sharks tend to live in fairly shallow seas, feeding on bottom-living animals, 'if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver' is true.", 'When the statement, if greenways are corridors of open space that connect recreational, cultural or natural areas, then if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver, does not hold is true, it follows that all spiders have four pairs of legs and a set of leg-like appendages called palps.', 'Either public defenders are lawyers or if the statement, if greenways are corridors of open space that connect recreational, cultural or natural areas, then if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver, does not hold, then it is not the case that all spiders have four pairs of legs and a set of leg-like appendages called palps.', 'It is a fact that either guinea pigs need attention or the claim that public defenders are lawyers does not reflect reality.', 'It is not the case that guinea pigs need attention.']
|
If interstitial oedema impairs blood flow .Activation of the kallikrein and kinin system occurs, then food includes whole wheat bread. Should it be the case that the statement that 'either interstitial oedema impairs blood flow .Activation of the kallikrein and kinin system occurs or many elderly people experience mild cognitive impairments' is incorrect, it follows that biotechnology is responsible for breakthroughs that have benefitted people for centuries. The statement, biotechnology is responsible for breakthroughs that have benefitted people for centuries, does not hold. Whenever it is true that it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, 'some people mistakenly believe that if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver' is true. We know that at least one of two things is true: greenways are corridors of open space that connect recreational, cultural or natural areas, or either abiotic data exists in the form of climate records, maps and air photos, and pollution records or angel sharks tend to live in fairly shallow seas, feeding on bottom-living animals. So long as either abiotic data exists in the form of climate records, maps and air photos, and pollution records or angel sharks tend to live in fairly shallow seas, feeding on bottom-living animals, 'if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver' is true. When the statement, if greenways are corridors of open space that connect recreational, cultural or natural areas, then if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver, does not hold is true, it follows that all spiders have four pairs of legs and a set of leg-like appendages called palps. Either public defenders are lawyers or if the statement, if greenways are corridors of open space that connect recreational, cultural or natural areas, then if it is not the case that if many elderly people experience mild cognitive impairments, then food includes whole wheat bread, then if cottontail rabbits are very prolific, then allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver, does not hold, then it is not the case that all spiders have four pairs of legs and a set of leg-like appendages called palps. It is a fact that either guinea pigs need attention or the claim that public defenders are lawyers does not reflect reality. It is not the case that guinea pigs need attention.
|
food includes whole wheat bread.
|
It is a common misconception that food includes whole wheat bread.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [5].
Not [5].
Therefore, Either [1] or [2]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then (If [3], then [4].). [SC1-2]
If (Not (If [2], then [0].).), then (Not (If [3], then [4].).).
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).). [SC2-3]
If (Either [7] or [8].), then (If (Not (If [2], then [0].).), then (If [3], then [4].).).
Therefore, If (Not (If [2], then [0].).), then (If [3], then [4].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).).).), then [9].
If (Not (If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).).).), then (Not [9].). [SC2-4]
Therefore, If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).)..
[SC2-4]
Disjunctive Syllogism:
Either [10] or (If (Not (If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).).).), then (Not [9].).).
Not [10]. [SC2-5]
Therefore, If (Not (If [6], then (If (Not (If [2], then [0].).), then (If [3], then [4].).).).), then (Not [9].)..
[SC2-5]
Disjunctive Syllogism:
Either [11] or (Not [10].).
Not [11].
Therefore, Not [10]..
|
{0: 'Food includes whole wheat bread.', 1: 'Interstitial oedema impairs blood flow .Activation of the kallikrein and kinin system occurs.', 2: 'Many elderly people experience mild cognitive impairments.', 3: 'Cottontail rabbits are very prolific.', 4: 'Allergies are due to a disabled liver, extreme allergies are due to an extremely disabled liver.', 5: 'Biotechnology is responsible for breakthroughs that have benefitted people for centuries.', 6: 'Greenways are corridors of open space that connect recreational, cultural or natural areas.', 7: 'Abiotic data exists in the form of climate records, maps and air photos, and pollution records.', 8: 'Angel sharks tend to live in fairly shallow seas, feeding on bottom-living animals.', 9: 'All spiders have four pairs of legs and a set of leg-like appendages called palps.', 10: 'Public defenders are lawyers.', 11: 'Guinea pigs need attention.'}
| 7 |
6,689 |
['There is good reason to believe that either waterfall isa waters or some feline diseases are preventable.', 'One may reasonably assume that if waterfall isa waters, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning.', 'Provided that either sleep is as important for our health as diet and exercise or natural light is a dynamic resource that varies diurnally, seasonally, and with orientation, we know that babies are located in houses.', 'There is good reason to believe that either either bait uses fresh vegetables or atlantic has (part) Bahamas or some meat contains calcium.', 'Provided that either bait uses fresh vegetables or atlantic has (part) Bahamas, we know that if some feline diseases are preventable, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning.', "Whenever it is true that some meat contains calcium, 'if some feline diseases are preventable, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning' is true.", 'Provided that people encounter pigs, we know that either either sleep is as important for our health as diet and exercise or natural light is a dynamic resource that varies diurnally, seasonally, and with orientation or if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound.', "The statement 'people encounter pigs' is true.", "The statement 'either estrogens can cause sodium and fluid retention or most bacterial spores float in air' can be considered false.", 'On the condition that those that suggest either either estrogens can cause sodium and fluid retention or most bacterial spores float in air or if if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound, then babies are located in houses are wrong, it is definitely the case that either pharmaceuticals are a multi-billion dollar global industry or some species are single cells , some are multicellular .', 'Should it be the case that those that suggest either either estrogens can cause sodium and fluid retention or most bacterial spores float in air or if if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound, then babies are located in houses are wrong, it follows that the claim that either pharmaceuticals are a multi-billion dollar global industry or some species are single cells , some are multicellular is false.']
|
There is good reason to believe that either waterfall isa waters or some feline diseases are preventable. One may reasonably assume that if waterfall isa waters, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning. Provided that either sleep is as important for our health as diet and exercise or natural light is a dynamic resource that varies diurnally, seasonally, and with orientation, we know that babies are located in houses. There is good reason to believe that either either bait uses fresh vegetables or atlantic has (part) Bahamas or some meat contains calcium. Provided that either bait uses fresh vegetables or atlantic has (part) Bahamas, we know that if some feline diseases are preventable, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning. Whenever it is true that some meat contains calcium, 'if some feline diseases are preventable, then if babies are located in houses, then either honor is a word that has to do with recognizing and obeying authority or healthy communities allow teachers to teach and students to focus on learning' is true. Provided that people encounter pigs, we know that either either sleep is as important for our health as diet and exercise or natural light is a dynamic resource that varies diurnally, seasonally, and with orientation or if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound. The statement 'people encounter pigs' is true. The statement 'either estrogens can cause sodium and fluid retention or most bacterial spores float in air' can be considered false. On the condition that those that suggest either either estrogens can cause sodium and fluid retention or most bacterial spores float in air or if if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound, then babies are located in houses are wrong, it is definitely the case that either pharmaceuticals are a multi-billion dollar global industry or some species are single cells , some are multicellular . Should it be the case that those that suggest either either estrogens can cause sodium and fluid retention or most bacterial spores float in air or if if worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers, then rats hear sound, then babies are located in houses are wrong, it follows that the claim that either pharmaceuticals are a multi-billion dollar global industry or some species are single cells , some are multicellular is false.
|
At least one of two things is true: honor is a word that has to do with recognizing and obeying authority, or healthy communities allow teachers to teach and students to focus on learning.
|
At least one of two things is true: honor is a word that has to do with recognizing and obeying authority, or healthy communities allow teachers to teach and students to focus on learning.
|
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 [4].
If [3], then (If [2], then (Either [0] or [1].).).
If [4], then (If [2], then (Either [0] or [1].).). [SC3-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC3-2]
Disjunction Elimination:
Either (Either [12] or [13].) or [14].
If (Either [12] or [13].), then (If [4], then (If [2], then (Either [0] or [1].).).).
If [14], then (If [4], then (If [2], then (Either [0] or [1].).).).
Therefore, If [4], then (If [2], then (Either [0] or [1].).)..
[SC2-1]
Disjunction Elimination:
Either (Either [5] or [6].) or (If [7], then [8].). [SC1-2]
If (Either [5] or [6].), then [2].
If (If [7], then [8].), then [2]. [SC3-2]
Therefore, [2].
[SC1-2]
Modus Ponens:
If [11], then (Either (Either [5] or [6].) or (If [7], then [8].).).
[11]
Therefore, Either (Either [5] or [6].) or (If [7], then [8].)..
[SC3-2]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If (If [7], then [8].), then [2].). [SC1-3]
Not (Either [9] or [10].).
Therefore, If (If [7], then [8].), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [9] or [10].) or (If (If [7], then [8].), then [2].).).), then (Either [15] or [16].).
If (Not (Either (Either [9] or [10].) or (If (If [7], then [8].), then [2].).).), then (Not (Either [15] or [16].).).
Therefore, Either (Either [9] or [10].) or (If (If [7], then [8].), then [2].)..
|
{0: 'Honor is a word that has to do with recognizing and obeying authority.', 1: 'Healthy communities allow teachers to teach and students to focus on learning.', 2: 'Babies are located in houses.', 3: 'Waterfall isa waters.', 4: 'Some feline diseases are preventable.', 5: 'Sleep is as important for our health as diet and exercise.', 6: 'Natural light is a dynamic resource that varies diurnally, seasonally, and with orientation.', 7: 'Worms eat fruit and vegetable scraps, pasta, bread, cooked beans, and other kitchen leftovers.', 8: 'Rats hear sound.', 9: 'Estrogens can cause sodium and fluid retention.', 10: 'Most bacterial spores float in air.', 11: 'People encounter pigs.', 12: 'Bait uses fresh vegetables.', 13: 'Atlantic has (part) Bahamas.', 14: 'Some meat contains calcium.', 15: 'Pharmaceuticals are a multi-billion dollar global industry.', 16: 'Some species are single cells , some are multicellular .'}
| 7 |
6,229 |
['The claim that bonds are permanently flexible and resist water, salt spray and many common industrial fluids does not reflect reality.', 'At least one of two things is true: most animals have rapid weak pulses, or vegetative plantings replace plant life lost through water ponding, erosion and saltwater intrusion.', 'Assuming most animals have rapid weak pulses, we know that general lighting is the basic component of interior lighting.', "So long as vegetative plantings replace plant life lost through water ponding, erosion and saltwater intrusion, 'warmer temperatures continue to melt the snowpack in most eastern basins' is true.", "Assuming the statement 'if general lighting is the basic component of interior lighting, then bonds are permanently flexible and resist water, salt spray and many common industrial fluids' can be considered false, we know that virus isa agent.", 'It is rational to believe that either if smallmouth bass are good on jerkbaits and Carolina-rigged minnows on main lake points, then hearing seems to be the keenest sense in hedgehogs or medical scientists investigate interest.', "Whenever it is true that if smallmouth bass are good on jerkbaits and Carolina-rigged minnows on main lake points, then hearing seems to be the keenest sense in hedgehogs, 'if warmer temperatures continue to melt the snowpack in most eastern basins, then carpets are fluffy so they can trap air' is true.", "Assuming the claim that if the statement 'if general lighting is the basic component of interior lighting, then bonds are permanently flexible and resist water, salt spray and many common industrial fluids' can be considered false, then the statement, virus isa agent, does not hold has no merit, we know that if anoraks have (part) sleeve, then cloning is dangerous.", 'The claim that if anoraks have (part) sleeve, then cloning is dangerous is false.', 'It is rational to believe that either most cirrus clouds produce precipitation or if medical scientists investigate interest, then if warmer temperatures continue to melt the snowpack in most eastern basins, then carpets are fluffy so they can trap air.', 'The claim that most cirrus clouds produce precipitation does not correspond with reality.']
|
The claim that bonds are permanently flexible and resist water, salt spray and many common industrial fluids does not reflect reality. At least one of two things is true: most animals have rapid weak pulses, or vegetative plantings replace plant life lost through water ponding, erosion and saltwater intrusion. Assuming most animals have rapid weak pulses, we know that general lighting is the basic component of interior lighting. So long as vegetative plantings replace plant life lost through water ponding, erosion and saltwater intrusion, 'warmer temperatures continue to melt the snowpack in most eastern basins' is true. Assuming the statement 'if general lighting is the basic component of interior lighting, then bonds are permanently flexible and resist water, salt spray and many common industrial fluids' can be considered false, we know that virus isa agent. It is rational to believe that either if smallmouth bass are good on jerkbaits and Carolina-rigged minnows on main lake points, then hearing seems to be the keenest sense in hedgehogs or medical scientists investigate interest. Whenever it is true that if smallmouth bass are good on jerkbaits and Carolina-rigged minnows on main lake points, then hearing seems to be the keenest sense in hedgehogs, 'if warmer temperatures continue to melt the snowpack in most eastern basins, then carpets are fluffy so they can trap air' is true. Assuming the claim that if the statement 'if general lighting is the basic component of interior lighting, then bonds are permanently flexible and resist water, salt spray and many common industrial fluids' can be considered false, then the statement, virus isa agent, does not hold has no merit, we know that if anoraks have (part) sleeve, then cloning is dangerous. The claim that if anoraks have (part) sleeve, then cloning is dangerous is false. It is rational to believe that either most cirrus clouds produce precipitation or if medical scientists investigate interest, then if warmer temperatures continue to melt the snowpack in most eastern basins, then carpets are fluffy so they can trap air. The claim that most cirrus clouds produce precipitation does not correspond with reality.
|
The statement that states carpets are fluffy so they can trap air is right.
|
The statement that states carpets are fluffy so they can trap air is right.
|
TRUE
|
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]. [SC2-2]
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Constructive Dilemma:
Either [7] or [8].
If [7], then [2].
If [8], then [3].
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [9].
If (Not (If [2], then [1].).), then (Not [9].). [SC2-3]
Therefore, If [2], then [1]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [2], then [1].).), then (Not [9].).).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, If (Not (If [2], then [1].).), then (Not [9].)..
[SC3-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (If [3], then [0].).
If [6], then (If [3], then [0].). [SC3-3]
Therefore, If [3], then [0]..
[SC3-3]
Disjunctive Syllogism:
Either [12] or (If [6], then (If [3], then [0].).).
Not [12].
Therefore, If [6], then (If [3], then [0].)..
|
{0: 'Carpets are fluffy so they can trap air.', 1: 'Bonds are permanently flexible and resist water, salt spray and many common industrial fluids.', 2: 'General lighting is the basic component of interior lighting.', 3: 'Warmer temperatures continue to melt the snowpack in most eastern basins.', 4: 'Smallmouth bass are good on jerkbaits and Carolina-rigged minnows on main lake points.', 5: 'Hearing seems to be the keenest sense in hedgehogs.', 6: 'Medical scientists investigate interest.', 7: 'Most animals have rapid weak pulses.', 8: 'Vegetative plantings replace plant life lost through water ponding, erosion and saltwater intrusion.', 9: 'Virus isa agent.', 10: 'Anoraks have (part) sleeve.', 11: 'Cloning is dangerous.', 12: 'Most cirrus clouds produce precipitation.'}
| 7 |
6,334 |
["On the condition that the notion that 'vitamin E acts like antioxidant and thus reduces coronary risk' is untrue, it is definitely the case that the statement that states decimals have a point is false.", "Whenever it is true that the statement that 'if the notion that 'vitamin E acts like antioxidant and thus reduces coronary risk' is untrue, then decimals have a point' is incorrect, 'some salmon reach mouths' is true.", 'It is a simple truth that some wallabies live in deserts.', 'It is rational to believe that either either gasoline is dangerous and flammable or dry shampoos can also be effective in absorbing oils and odors or most economists agree that products are under-priced as a result of externalities.', 'When either gasoline is dangerous and flammable or dry shampoos can also be effective in absorbing oils and odors is true, it follows that it is not the case that caesium accumulates up the food chain from the soil through vegetation to contaminate meat.', 'It is rational to believe that either most mercury enters aquatic environments or information systems coordinates all computer operations.', 'Should it be the case that most mercury enters aquatic environments, it follows that if some wallabies live in deserts, then either caesium accumulates up the food chain from the soil through vegetation to contaminate meat or some people mistakenly believe that some salmon reach mouths.', "Whenever it is true that information systems coordinates all computer operations, 'if some wallabies live in deserts, then either caesium accumulates up the food chain from the soil through vegetation to contaminate meat or some people mistakenly believe that some salmon reach mouths' is true.", 'Should it be the case that the claim that if most economists agree that products are under-priced as a result of externalities, then it is not the case that caesium accumulates up the food chain from the soil through vegetation to contaminate meat is false, it follows that rock cliffs provide nesting sites for a wide variety of raptors.', 'It is not true that rock cliffs provide nesting sites for a wide variety of raptors.']
|
On the condition that the notion that 'vitamin E acts like antioxidant and thus reduces coronary risk' is untrue, it is definitely the case that the statement that states decimals have a point is false. Whenever it is true that the statement that 'if the notion that 'vitamin E acts like antioxidant and thus reduces coronary risk' is untrue, then decimals have a point' is incorrect, 'some salmon reach mouths' is true. It is a simple truth that some wallabies live in deserts. It is rational to believe that either either gasoline is dangerous and flammable or dry shampoos can also be effective in absorbing oils and odors or most economists agree that products are under-priced as a result of externalities. When either gasoline is dangerous and flammable or dry shampoos can also be effective in absorbing oils and odors is true, it follows that it is not the case that caesium accumulates up the food chain from the soil through vegetation to contaminate meat. It is rational to believe that either most mercury enters aquatic environments or information systems coordinates all computer operations. Should it be the case that most mercury enters aquatic environments, it follows that if some wallabies live in deserts, then either caesium accumulates up the food chain from the soil through vegetation to contaminate meat or some people mistakenly believe that some salmon reach mouths. Whenever it is true that information systems coordinates all computer operations, 'if some wallabies live in deserts, then either caesium accumulates up the food chain from the soil through vegetation to contaminate meat or some people mistakenly believe that some salmon reach mouths' is true. Should it be the case that the claim that if most economists agree that products are under-priced as a result of externalities, then it is not the case that caesium accumulates up the food chain from the soil through vegetation to contaminate meat is false, it follows that rock cliffs provide nesting sites for a wide variety of raptors. It is not true that rock cliffs provide nesting sites for a wide variety of raptors.
|
The statement that states vitamin E acts like antioxidant and thus reduces coronary risk is right.
|
The statement that states vitamin E acts like antioxidant and thus reduces coronary risk is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (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]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [7], then (Either [3] or (Not [2].).). [SC1-4]
[7]
Therefore, Either [3] or (Not [2].)..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Either [3] or (Not [2].).).).
If [9], then (If [7], then (Either [3] or (Not [2].).).).
Therefore, If [7], then (Either [3] or (Not [2].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (Not [3].).
If [6], then (Not [3].). [SC3-4]
Therefore, Not [3]..
[SC3-4]
Modus Tonens:
If (Not (If [6], then (Not [3].).).), then [10].
Not [10].
Therefore, If [6], then (Not [3].)..
|
{0: 'Vitamin E acts like antioxidant and thus reduces coronary risk.', 1: 'Decimals have a point.', 2: 'Some salmon reach mouths.', 3: 'Caesium accumulates up the food chain from the soil through vegetation to contaminate meat.', 4: 'Gasoline is dangerous and flammable.', 5: 'Dry shampoos can also be effective in absorbing oils and odors.', 6: 'Most economists agree that products are under-priced as a result of externalities.', 7: 'Some wallabies live in deserts.', 8: 'Most mercury enters aquatic environments.', 9: 'Information systems coordinates all computer operations.', 10: 'Rock cliffs provide nesting sites for a wide variety of raptors.'}
| 7 |
6,627 |
['Should it be the case that competence is derived from a synthesis of education and experience, it follows that government is the single largest client of the construction industry.', 'Provided that most psychologists use computers in some part of their jobs, we know that government is the single largest client of the construction industry.', 'It is a fact that either polarized sunglasses stop photons swinging up and down from passing or either competence is derived from a synthesis of education and experience or most psychologists use computers in some part of their jobs.', 'The claim that most animals can move from place to place is false.', 'It is rational to believe that either a whippoorwill is a bird or if mining companies use cyanide to extract gold and silver from metallic ore, then tunes are located in jukeboxs.', 'Once we know if mining companies use cyanide to extract gold and silver from metallic ore, then tunes are located in jukeboxs, we also know that if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place.', 'We know that either work is the salve that heals the wounded heart or latent heat causes an object to change state.', "So long as work is the salve that heals the wounded heart, 'if multicellular organisms use more complex methods, then if a whippoorwill is a bird, then if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place' is true.", 'When latent heat causes an object to change state is true, it follows that if multicellular organisms use more complex methods, then if a whippoorwill is a bird, then if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place.', 'When the statement, multicellular organisms use more complex methods, does not hold is true, it follows that cigarette smoking is a serious health hazard.', 'Once we know the statement, multicellular organisms use more complex methods, does not hold, we also know that we know that the claim that cigarette smoking is a serious health hazard is false.']
|
Should it be the case that competence is derived from a synthesis of education and experience, it follows that government is the single largest client of the construction industry. Provided that most psychologists use computers in some part of their jobs, we know that government is the single largest client of the construction industry. It is a fact that either polarized sunglasses stop photons swinging up and down from passing or either competence is derived from a synthesis of education and experience or most psychologists use computers in some part of their jobs. The claim that most animals can move from place to place is false. It is rational to believe that either a whippoorwill is a bird or if mining companies use cyanide to extract gold and silver from metallic ore, then tunes are located in jukeboxs. Once we know if mining companies use cyanide to extract gold and silver from metallic ore, then tunes are located in jukeboxs, we also know that if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place. We know that either work is the salve that heals the wounded heart or latent heat causes an object to change state. So long as work is the salve that heals the wounded heart, 'if multicellular organisms use more complex methods, then if a whippoorwill is a bird, then if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place' is true. When latent heat causes an object to change state is true, it follows that if multicellular organisms use more complex methods, then if a whippoorwill is a bird, then if polarized sunglasses stop photons swinging up and down from passing, then most animals can move from place to place. When the statement, multicellular organisms use more complex methods, does not hold is true, it follows that cigarette smoking is a serious health hazard. Once we know the statement, multicellular organisms use more complex methods, does not hold, we also know that we know that the claim that cigarette smoking is a serious health hazard is false.
|
It is a simple truth that government is the single largest client of the construction industry.
|
The claim that government is the single largest client of the construction industry is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].).
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Modus Tonens:
If [3], then [4]. [SC1-3]
Not [4].
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [3], then [4].). [SC2-4]
If (If [6], then [7].), then (If [3], then [4].).
Therefore, If [3], then [4]..
[SC2-4]
Modus Ponens:
If [8], then (If [5], then (If [3], then [4].).). [SC1-5]
[8] [SC2-5]
Therefore, If [5], then (If [3], then [4].)..
[SC1-5]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [8], then (If [5], then (If [3], then [4].).).).
If [11], then (If [8], then (If [5], then (If [3], then [4].).).).
Therefore, If [8], then (If [5], then (If [3], then [4].).)..
[SC2-5]
Reductio Ad Absurdum:
If (Not [8].), then [9].
If (Not [8].), then (Not [9].).
Therefore, [8].
|
{0: 'Government is the single largest client of the construction industry.', 1: 'Competence is derived from a synthesis of education and experience.', 2: 'Most psychologists use computers in some part of their jobs.', 3: 'Polarized sunglasses stop photons swinging up and down from passing.', 4: 'Most animals can move from place to place.', 5: 'A whippoorwill is a bird.', 6: 'Mining companies use cyanide to extract gold and silver from metallic ore.', 7: 'Tunes are located in jukeboxs.', 8: 'Multicellular organisms use more complex methods.', 9: 'Cigarette smoking is a serious health hazard.', 10: 'Work is the salve that heals the wounded heart.', 11: 'Latent heat causes an object to change state.'}
| 7 |
6,702 |
['On the condition that either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease, it is definitely the case that salt is part of a healthy diet .', "So long as some people mistakenly believe that either either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease or all bacteria are haploid, 'shrews eat prey' is true.", 'Once we know shrews eat prey, we also know that fruit matures in late summer.', 'We know that at least one of two things is true: some genetic diseases have dominant inheritance, some recessive, or if some people mistakenly believe that either either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease or all bacteria are haploid, then the statement that states fruit matures in late summer is false.', 'It is not true that some genetic diseases have dominant inheritance, some recessive.', 'There is good reason to believe that either heartbeat sensors allow infiltrating teams to detect tangos hiding in ambush around corners or if the statement that states if all bacteria are haploid, then salt is part of a healthy diet is false, then some caribou feeds on willows.', 'Some people mistakenly believe that heartbeat sensors allow infiltrating teams to detect tangos hiding in ambush around corners.', "At least one of two things is true: abortion is illegal in Nigeria unless a woman's life is threatened by the pregnancy, or the claim that some caribou feeds on willows does not correspond with reality.", "The statement, abortion is illegal in Nigeria unless a woman's life is threatened by the pregnancy, does not hold."]
|
On the condition that either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease, it is definitely the case that salt is part of a healthy diet . So long as some people mistakenly believe that either either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease or all bacteria are haploid, 'shrews eat prey' is true. Once we know shrews eat prey, we also know that fruit matures in late summer. We know that at least one of two things is true: some genetic diseases have dominant inheritance, some recessive, or if some people mistakenly believe that either either sprains are common injuries that cause ligaments to rip of separate from the bone or young children are the most susceptible to all forms of pneumococcal disease or all bacteria are haploid, then the statement that states fruit matures in late summer is false. It is not true that some genetic diseases have dominant inheritance, some recessive. There is good reason to believe that either heartbeat sensors allow infiltrating teams to detect tangos hiding in ambush around corners or if the statement that states if all bacteria are haploid, then salt is part of a healthy diet is false, then some caribou feeds on willows. Some people mistakenly believe that heartbeat sensors allow infiltrating teams to detect tangos hiding in ambush around corners. At least one of two things is true: abortion is illegal in Nigeria unless a woman's life is threatened by the pregnancy, or the claim that some caribou feeds on willows does not correspond with reality. The statement, abortion is illegal in Nigeria unless a woman's life is threatened by the pregnancy, does not hold.
|
Those that suggest salt is part of a healthy diet are right.
|
Those that suggest salt is part of a healthy diet are right.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [5]. [SC1-2]
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [5].). [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either (Either [1] or [2].) or [3].).), then [8].
If [8], then [5].
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then [5]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [5].).).
Not [7].
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then (Not [5].)..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If [3], then [0].).), then [4].).
Not [6].
Therefore, If (Not (If [3], then [0].).), then [4]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (Not [4].).
Not [9].
Therefore, Not [4]..
|
{0: 'Salt is part of a healthy diet .', 1: 'Sprains are common injuries that cause ligaments to rip of separate from the bone.', 2: 'Young children are the most susceptible to all forms of pneumococcal disease.', 3: 'All bacteria are haploid.', 4: 'Some caribou feeds on willows.', 5: 'Fruit matures in late summer.', 6: 'Heartbeat sensors allow infiltrating teams to detect tangos hiding in ambush around corners.', 7: 'Some genetic diseases have dominant inheritance, some recessive.', 8: 'Shrews eat prey.', 9: "Abortion is illegal in Nigeria unless a woman's life is threatened by the pregnancy."}
| 7 |
6,878 |
['There is good reason to believe that either noble gas atoms have tendencies or excess insulin is the primary accelerator of the aging process.', "Whenever it is true that excess insulin is the primary accelerator of the aging process, 'if if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, then sour cream is used in many European and American foods ' is true.", 'Once we know if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, we also know that antibiotics are most effective when they are used as little as possible.', "Whenever it is true that antibiotics are most effective when they are used as little as possible, 'it is not true that sour cream is used in many European and American foods ' is true.", "So long as the claim that if noble gas atoms have tendencies, then axles Enter number of axles for trucks, tractors, and trailers does not correspond with reality, 'it is not true that wardrobes have (part) sections' is true.", 'One may reasonably assume that if axles Enter number of axles for trucks, tractors, and trailers, then leadership deals with vision, effectiveness, and results, focusing on people.', 'Given that leadership deals with vision, effectiveness, and results, focusing on people, it can be inferred that if if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, then sour cream is used in many European and American foods .', "So long as the claim that if noble gas atoms have tendencies, then axles Enter number of axles for trucks, tractors, and trailers does not correspond with reality, 'court bouillon is made with vegetables saut ed in water' is true.", 'When court bouillon is made with vegetables saut ed in water is true, it follows that wardrobes have (part) sections.']
|
There is good reason to believe that either noble gas atoms have tendencies or excess insulin is the primary accelerator of the aging process. Whenever it is true that excess insulin is the primary accelerator of the aging process, 'if if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, then sour cream is used in many European and American foods ' is true. Once we know if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, we also know that antibiotics are most effective when they are used as little as possible. Whenever it is true that antibiotics are most effective when they are used as little as possible, 'it is not true that sour cream is used in many European and American foods ' is true. So long as the claim that if noble gas atoms have tendencies, then axles Enter number of axles for trucks, tractors, and trailers does not correspond with reality, 'it is not true that wardrobes have (part) sections' is true. One may reasonably assume that if axles Enter number of axles for trucks, tractors, and trailers, then leadership deals with vision, effectiveness, and results, focusing on people. Given that leadership deals with vision, effectiveness, and results, focusing on people, it can be inferred that if if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors, then sour cream is used in many European and American foods . So long as the claim that if noble gas atoms have tendencies, then axles Enter number of axles for trucks, tractors, and trailers does not correspond with reality, 'court bouillon is made with vegetables saut ed in water' is true. When court bouillon is made with vegetables saut ed in water is true, it follows that wardrobes have (part) sections.
|
We know that the claim that if p occurs in endothelial cells, then high winds can cause motion sickness in people working on the top floors is false.
|
So long as p occurs in endothelial cells, 'high winds can cause motion sickness in people working on the top floors' is true.
|
FALSE
|
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].
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]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [6]. [SC1-3]
If [6], then (If (If [0], then [1].), then [2].). [SC2-3]
Therefore, If [3], then (If (If [0], then [1].), then [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [6].).), then [7]. [SC1-4]
If (Not (If [3], then [6].).), then (Not [7].).
Therefore, If [3], then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [3], then [6].).), then [9].
If [9], then [7].
Therefore, If (Not (If [3], then [6].).), then [7]..
[SC2-3]
Hypothetical Syllogism:
If [6], then [8].
If [8], then (If (If [0], then [1].), then [2].).
Therefore, If [6], then (If (If [0], then [1].), then [2].)..
[SC2-1]
Hypothetical Syllogism:
If (If [0], then [1].), then [5].
If [5], then (Not [2].).
Therefore, If (If [0], then [1].), then (Not [2].)..
|
{0: 'P occurs in endothelial cells.', 1: 'High winds can cause motion sickness in people working on the top floors.', 2: 'Sour cream is used in many European and American foods .', 3: 'Noble gas atoms have tendencies.', 4: 'Excess insulin is the primary accelerator of the aging process.', 5: 'Antibiotics are most effective when they are used as little as possible.', 6: 'Axles Enter number of axles for trucks, tractors, and trailers.', 7: 'Wardrobes have (part) sections.', 8: 'Leadership deals with vision, effectiveness, and results, focusing on people.', 9: 'Court bouillon is made with vegetables saut ed in water.'}
| 7 |
6,482 |
['If it is a common misconception that either most computers have two different types of slots for the addition of hardware or if either most materials use in metabolism or small dogs are located in backyards, then stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain, then many states have laws governing the transportation of firearms.', 'On the condition that it is a common misconception that either most computers have two different types of slots for the addition of hardware or if either most materials use in metabolism or small dogs are located in backyards, then stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain, it is definitely the case that the claim that many states have laws governing the transportation of firearms does not reflect reality.', 'When most computers have two different types of slots for the addition of hardware is true, it follows that hail is common during the summer thunderstorms.', 'The claim that hail is common during the summer thunderstorms is false.', 'We know that either plants grow from long taproots or trees fall over in the winter times when the ash soils are saturated with water.', 'If plants grow from long taproots, then if if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense, then either most materials use in metabolism or small dogs are located in backyards.', 'On the condition that trees fall over in the winter times when the ash soils are saturated with water, it is definitely the case that if if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense, then either most materials use in metabolism or small dogs are located in backyards.', 'Either one or both of these statements are true: artists are people, or if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense.', 'The statement that states artists are people is false.']
|
If it is a common misconception that either most computers have two different types of slots for the addition of hardware or if either most materials use in metabolism or small dogs are located in backyards, then stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain, then many states have laws governing the transportation of firearms. On the condition that it is a common misconception that either most computers have two different types of slots for the addition of hardware or if either most materials use in metabolism or small dogs are located in backyards, then stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain, it is definitely the case that the claim that many states have laws governing the transportation of firearms does not reflect reality. When most computers have two different types of slots for the addition of hardware is true, it follows that hail is common during the summer thunderstorms. The claim that hail is common during the summer thunderstorms is false. We know that either plants grow from long taproots or trees fall over in the winter times when the ash soils are saturated with water. If plants grow from long taproots, then if if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense, then either most materials use in metabolism or small dogs are located in backyards. On the condition that trees fall over in the winter times when the ash soils are saturated with water, it is definitely the case that if if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense, then either most materials use in metabolism or small dogs are located in backyards. Either one or both of these statements are true: artists are people, or if dogs do however have unique instincts, then ice is fresh water - so the sea that remains is increasingly cold, salty and dense. The statement that states artists are people is false.
|
stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain.
|
It is not the case that stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [1] or [2].), then [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (Either [1] or [2].), then [0].).).), then [9].
If (Not (Either [3] or (If (Either [1] or [2].), then [0].).).), then (Not [9].).
Therefore, Either [3] or (If (Either [1] or [2].), then [0].)..
[SC2-2]
Modus Tonens:
If [3], then [6].
Not [6].
Therefore, Not [3]..
[SC2-1]
Modus Ponens:
If (If [4], then [5].), then (Either [1] or [2].). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [4], then [5].), then (Either [1] or [2].).).
If [8], then (If (If [4], then [5].), then (Either [1] or [2].).).
Therefore, If (If [4], then [5].), then (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [10] or (If [4], then [5].).
Not [10].
Therefore, If [4], then [5]..
|
{0: 'Stroke is a type of brain injury caused by a sudden interruption of blood flow to the brain.', 1: 'Most materials use in metabolism.', 2: 'Small dogs are located in backyards.', 3: 'Most computers have two different types of slots for the addition of hardware.', 4: 'Dogs do however have unique instincts.', 5: 'Ice is fresh water - so the sea that remains is increasingly cold, salty and dense.', 6: 'Hail is common during the summer thunderstorms.', 7: 'Plants grow from long taproots.', 8: 'Trees fall over in the winter times when the ash soils are saturated with water.', 9: 'Many states have laws governing the transportation of firearms.', 10: 'Artists are people.'}
| 7 |
6,919 |
['It is rational to believe that either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged.', 'When most fly squirrels move from trees is true, it follows that a protege is an acquirer.', 'The claim that a protege is an acquirer is false.', 'It is a fact that either most diets consist of decompose organic substances or some flippers are part of walruses.', 'On the condition that most diets consist of decompose organic substances, it is definitely the case that if protists represent some of the most diverse branches in the tree of life, then if either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged, then if either some fathers die of cancer or some thick coats reflect sunlight, then most fly squirrels move from trees.', 'When some flippers are part of walruses is true, it follows that if protists represent some of the most diverse branches in the tree of life, then if either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged, then if either some fathers die of cancer or some thick coats reflect sunlight, then most fly squirrels move from trees.', 'Some people mistakenly believe that water is necessary for drinking and is sometimes used for bathing.', 'We know that either either some armadillos use front claws or massage therapy can relax the muscles so the adjustment is easier for the patient and the doctor or either most jellyfish rely on tentacles or rice is a staple of Mexican cuisine and is used in many ways.', 'When either some armadillos use front claws or massage therapy can relax the muscles so the adjustment is easier for the patient and the doctor is true, it follows that water is necessary for drinking and is sometimes used for bathing.', 'If either most jellyfish rely on tentacles or rice is a staple of Mexican cuisine and is used in many ways, then protists represent some of the most diverse branches in the tree of life.']
|
It is rational to believe that either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged. When most fly squirrels move from trees is true, it follows that a protege is an acquirer. The claim that a protege is an acquirer is false. It is a fact that either most diets consist of decompose organic substances or some flippers are part of walruses. On the condition that most diets consist of decompose organic substances, it is definitely the case that if protists represent some of the most diverse branches in the tree of life, then if either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged, then if either some fathers die of cancer or some thick coats reflect sunlight, then most fly squirrels move from trees. When some flippers are part of walruses is true, it follows that if protists represent some of the most diverse branches in the tree of life, then if either most foods have little or no vitamin D, and few foods besides milk are fortified with it or cute babies receive more attention and affection than babies who are cuteness-challenged, then if either some fathers die of cancer or some thick coats reflect sunlight, then most fly squirrels move from trees. Some people mistakenly believe that water is necessary for drinking and is sometimes used for bathing. We know that either either some armadillos use front claws or massage therapy can relax the muscles so the adjustment is easier for the patient and the doctor or either most jellyfish rely on tentacles or rice is a staple of Mexican cuisine and is used in many ways. When either some armadillos use front claws or massage therapy can relax the muscles so the adjustment is easier for the patient and the doctor is true, it follows that water is necessary for drinking and is sometimes used for bathing. If either most jellyfish rely on tentacles or rice is a staple of Mexican cuisine and is used in many ways, then protists represent some of the most diverse branches in the tree of life.
|
Those that suggest either some fathers die of cancer or some thick coats reflect sunlight are wrong.
|
Those that suggest either some fathers die of cancer or some thick coats reflect sunlight are wrong.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].). [SC1-2]
Either [4] or [5].
Therefore, If (Either [0] or [1].), then [2]..
[SC1-2]
Modus Ponens:
If [6], then (If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].).). [SC1-3]
[6] [SC2-3]
Therefore, If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].)..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].).).).
If [8], then (If [6], then (If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].).).).
Therefore, If [6], then (If (Either [4] or [5].), then (If (Either [0] or [1].), then [2].).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [6]. [SC1-4]
Not [9].
Therefore, [6].
[SC1-4]
Constructive Dilemma:
Either (Either [10] or [11].) or (Either [12] or [13].).
If (Either [10] or [11].), then [9].
If (Either [12] or [13].), then [6].
Therefore, Either [9] or [6]..
[SC2-1]
Modus Tonens:
If [2], then [3].
Not [3].
Therefore, Not [2]..
|
{0: 'Some fathers die of cancer.', 1: 'Some thick coats reflect sunlight.', 2: 'Most fly squirrels move from trees.', 3: 'A protege is an acquirer.', 4: 'Most foods have little or no vitamin D, and few foods besides milk are fortified with it.', 5: 'Cute babies receive more attention and affection than babies who are cuteness-challenged.', 6: 'Protists represent some of the most diverse branches in the tree of life.', 7: 'Most diets consist of decompose organic substances.', 8: 'Some flippers are part of walruses.', 9: 'Water is necessary for drinking and is sometimes used for bathing.', 10: 'Some armadillos use front claws.', 11: 'Massage therapy can relax the muscles so the adjustment is easier for the patient and the doctor.', 12: 'Most jellyfish rely on tentacles.', 13: 'Rice is a staple of Mexican cuisine and is used in many ways.'}
| 7 |
6,220 |
["One may reasonably assume that if most women know all too well that men speak a completely different language than they do, then the statement that states vegans avoid both animal's milk and eggs is false.", "Whenever it is true that the statement 'if most women know all too well that men speak a completely different language than they do, then vegans avoid both animal's milk and eggs' can be considered false, 'radiation operates where the gas of the star is transparent, as it is when it is especially hot' is true.", 'It is true that researchers pursue degrees.', 'One may reasonably assume that if secretaries have (part) cells, then root hairs develop in a zone a short distance behind the root cap.', 'The claim that root hairs develop in a zone a short distance behind the root cap does not reflect reality.', 'On the condition that maximum frequency is limited by the refractory period of the neuron, it is definitely the case that if researchers pursue degrees, then if radiation operates where the gas of the star is transparent, as it is when it is especially hot, then secretaries have (part) cells.', 'We know that either colostrum has no drug interactions or maximum frequency is limited by the refractory period of the neuron.', 'The claim that colostrum has no drug interactions has no merit.']
|
One may reasonably assume that if most women know all too well that men speak a completely different language than they do, then the statement that states vegans avoid both animal's milk and eggs is false. Whenever it is true that the statement 'if most women know all too well that men speak a completely different language than they do, then vegans avoid both animal's milk and eggs' can be considered false, 'radiation operates where the gas of the star is transparent, as it is when it is especially hot' is true. It is true that researchers pursue degrees. One may reasonably assume that if secretaries have (part) cells, then root hairs develop in a zone a short distance behind the root cap. The claim that root hairs develop in a zone a short distance behind the root cap does not reflect reality. On the condition that maximum frequency is limited by the refractory period of the neuron, it is definitely the case that if researchers pursue degrees, then if radiation operates where the gas of the star is transparent, as it is when it is especially hot, then secretaries have (part) cells. We know that either colostrum has no drug interactions or maximum frequency is limited by the refractory period of the neuron. The claim that colostrum has no drug interactions has no merit.
|
The statement, most women know all too well that men speak a completely different language than they do, does not hold.
|
Most women know all too well that men speak a completely different language than they do.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If [2], then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [4], then (If [2], then [3].). [SC1-4]
[4]
Therefore, If [2], then [3]..
[SC1-4]
Modus Ponens:
If [6], then (If [4], then (If [2], then [3].).).
[6] [SC2-5]
Therefore, If [4], then (If [2], then [3].)..
[SC2-5]
Disjunctive Syllogism:
Either [7] or [6].
Not [7].
Therefore, [6].
[SC2-3]
Modus Tonens:
If [3], then [5].
Not [5].
Therefore, Not [3]..
|
{0: 'Most women know all too well that men speak a completely different language than they do.', 1: "Vegans avoid both animal's milk and eggs.", 2: 'Radiation operates where the gas of the star is transparent, as it is when it is especially hot.', 3: 'Secretaries have (part) cells.', 4: 'Researchers pursue degrees.', 5: 'Root hairs develop in a zone a short distance behind the root cap.', 6: 'Maximum frequency is limited by the refractory period of the neuron.', 7: 'Colostrum has no drug interactions.'}
| 7 |
6,391 |
['We know that at least one of two things is true: attic insulation is installed in all uninsulated ceilings of mobile homes and multi-family units, or if plastics can be very resistant to chemicals, then creep plants have flowers.', "The statement that 'attic insulation is installed in all uninsulated ceilings of mobile homes and multi-family units' is incorrect.", 'If it is not the case that if if plastics can be very resistant to chemicals, then creep plants have flowers, then some atheists assert that no god-claim is understandable because all are illogical, then either scientists can only study natural forces in the material universe or lightning is attracted to tall objects, like trees.', "Whenever it is true that it is not the case that if if plastics can be very resistant to chemicals, then creep plants have flowers, then some atheists assert that no god-claim is understandable because all are illogical, 'some people mistakenly believe that either scientists can only study natural forces in the material universe or lightning is attracted to tall objects, like trees' is true.", 'One may reasonably assume that if some people mistakenly believe that if if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength, then if some atheists assert that no god-claim is understandable because all are illogical, then if sandy soils have large pores and a higher porosity than clays and other fine-grained soils, then uncertainty is the water which wears away the stone of resolve, then stem cells form early in an embryo s development.', 'When some people mistakenly believe that if if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength, then if some atheists assert that no god-claim is understandable because all are illogical, then if sandy soils have large pores and a higher porosity than clays and other fine-grained soils, then uncertainty is the water which wears away the stone of resolve is true, it follows that the claim that stem cells form early in an embryo s development has no merit.', "On the condition that the statement that 'if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength' is incorrect, it is definitely the case that leggings have (part) sleeve.", "Assuming the statement that 'if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength' is incorrect, we know that the claim that leggings have (part) sleeve does not correspond with reality."]
|
We know that at least one of two things is true: attic insulation is installed in all uninsulated ceilings of mobile homes and multi-family units, or if plastics can be very resistant to chemicals, then creep plants have flowers. The statement that 'attic insulation is installed in all uninsulated ceilings of mobile homes and multi-family units' is incorrect. If it is not the case that if if plastics can be very resistant to chemicals, then creep plants have flowers, then some atheists assert that no god-claim is understandable because all are illogical, then either scientists can only study natural forces in the material universe or lightning is attracted to tall objects, like trees. Whenever it is true that it is not the case that if if plastics can be very resistant to chemicals, then creep plants have flowers, then some atheists assert that no god-claim is understandable because all are illogical, 'some people mistakenly believe that either scientists can only study natural forces in the material universe or lightning is attracted to tall objects, like trees' is true. One may reasonably assume that if some people mistakenly believe that if if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength, then if some atheists assert that no god-claim is understandable because all are illogical, then if sandy soils have large pores and a higher porosity than clays and other fine-grained soils, then uncertainty is the water which wears away the stone of resolve, then stem cells form early in an embryo s development. When some people mistakenly believe that if if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength, then if some atheists assert that no god-claim is understandable because all are illogical, then if sandy soils have large pores and a higher porosity than clays and other fine-grained soils, then uncertainty is the water which wears away the stone of resolve is true, it follows that the claim that stem cells form early in an embryo s development has no merit. On the condition that the statement that 'if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength' is incorrect, it is definitely the case that leggings have (part) sleeve. Assuming the statement that 'if hurricanes are enormous heat engines that generate energy on a staggering scale, then most fasteners have strength' is incorrect, we know that the claim that leggings have (part) sleeve does not correspond with reality.
|
On the condition that sandy soils have large pores and a higher porosity than clays and other fine-grained soils, it is definitely the case that uncertainty is the water which wears away the stone of resolve.
|
On the condition that sandy soils have large pores and a higher porosity than clays and other fine-grained soils, it is definitely the case that uncertainty is the water which wears away the stone of resolve.
|
TRUE
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [4]. [SC1-2]
If [4], then (If [0], then [1].). [SC2-2]
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then [4].).), then (Either [8] or [9].).
If (Not (If (If [2], then [3].), then [4].).), then (Not (Either [8] or [9].).).
Therefore, If (If [2], then [3].), then [4]..
[SC2-2]
Modus Ponens:
If (If [6], then [7].), then (If [4], then (If [0], then [1].).). [SC1-3]
If [6], then [7]. [SC2-3]
Therefore, If [4], then (If [0], then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [6], then [7].), then (If [4], then (If [0], then [1].).).).), then [11].
If (Not (If (If [6], then [7].), then (If [4], then (If [0], then [1].).).).), then (Not [11].).
Therefore, If (If [6], then [7].), then (If [4], then (If [0], then [1].).)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then [7].).), then [10].
If (Not (If [6], then [7].).), then (Not [10].).
Therefore, If [6], then [7]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then [3].).
Not [5].
Therefore, If [2], then [3]..
|
{0: 'Sandy soils have large pores and a higher porosity than clays and other fine-grained soils.', 1: 'Uncertainty is the water which wears away the stone of resolve.', 2: 'Plastics can be very resistant to chemicals.', 3: 'Creep plants have flowers.', 4: 'Some atheists assert that no god-claim is understandable because all are illogical.', 5: 'Attic insulation is installed in all uninsulated ceilings of mobile homes and multi-family units.', 6: 'Hurricanes are enormous heat engines that generate energy on a staggering scale.', 7: 'Most fasteners have strength.', 8: 'Scientists can only study natural forces in the material universe.', 9: 'Lightning is attracted to tall objects, like trees.', 10: 'Leggings have (part) sleeve.', 11: 'Stem cells form early in an embryo s development.'}
| 7 |
6,912 |
['Assuming statutes of repose are akin to statutes of limitations, we know that authenticity is believability.', 'At least one of two things is true: butterflies use their vision and scent glands to attract and find mates, or weather is a predominant influence in the causation of cold injury.', 'One may reasonably assume that if weather is a predominant influence in the causation of cold injury, then statutes of repose are akin to statutes of limitations.', 'There is good reason to believe that either if bead is a prototype system for the graphically-based exploration of information, then some dogs appear during summer or either cabinets have (part) shelves or virtual universities exist to deliver college credit in the form of content-filled coursework.', 'Provided that if bead is a prototype system for the graphically-based exploration of information, then some dogs appear during summer, we know that if breast tissue consists of glands and fat and has an atomic number six, then authenticity is believability.', "So long as either cabinets have (part) shelves or virtual universities exist to deliver college credit in the form of content-filled coursework, 'if breast tissue consists of glands and fat and has an atomic number six, then authenticity is believability' is true.", 'We know that either if some scientists understand nutrition, then hails are calling or if temperance is to life, health, and character as mortar is to a brick building, then construction creates habitats.', "Whenever it is true that intensity is a measure of how forceful the earthquake feels in a certain area, 'if if some scientists understand nutrition, then hails are calling, then if butterflies use their vision and scent glands to attract and find mates, then breast tissue consists of glands and fat and has an atomic number six' is true.", 'The statement that states intensity is a measure of how forceful the earthquake feels in a certain area is right.', 'On the condition that if japan can get very wet at times, then ethanol is made from grains better utilized as food, it is definitely the case that if butterflies use their vision and scent glands to attract and find mates, then breast tissue consists of glands and fat and has an atomic number six.', 'Once we know if temperance is to life, health, and character as mortar is to a brick building, then construction creates habitats, we also know that luck is a condition.', 'Should it be the case that luck is a condition, it follows that if japan can get very wet at times, then ethanol is made from grains better utilized as food.']
|
Assuming statutes of repose are akin to statutes of limitations, we know that authenticity is believability. At least one of two things is true: butterflies use their vision and scent glands to attract and find mates, or weather is a predominant influence in the causation of cold injury. One may reasonably assume that if weather is a predominant influence in the causation of cold injury, then statutes of repose are akin to statutes of limitations. There is good reason to believe that either if bead is a prototype system for the graphically-based exploration of information, then some dogs appear during summer or either cabinets have (part) shelves or virtual universities exist to deliver college credit in the form of content-filled coursework. Provided that if bead is a prototype system for the graphically-based exploration of information, then some dogs appear during summer, we know that if breast tissue consists of glands and fat and has an atomic number six, then authenticity is believability. So long as either cabinets have (part) shelves or virtual universities exist to deliver college credit in the form of content-filled coursework, 'if breast tissue consists of glands and fat and has an atomic number six, then authenticity is believability' is true. We know that either if some scientists understand nutrition, then hails are calling or if temperance is to life, health, and character as mortar is to a brick building, then construction creates habitats. Whenever it is true that intensity is a measure of how forceful the earthquake feels in a certain area, 'if if some scientists understand nutrition, then hails are calling, then if butterflies use their vision and scent glands to attract and find mates, then breast tissue consists of glands and fat and has an atomic number six' is true. The statement that states intensity is a measure of how forceful the earthquake feels in a certain area is right. On the condition that if japan can get very wet at times, then ethanol is made from grains better utilized as food, it is definitely the case that if butterflies use their vision and scent glands to attract and find mates, then breast tissue consists of glands and fat and has an atomic number six. Once we know if temperance is to life, health, and character as mortar is to a brick building, then construction creates habitats, we also know that luck is a condition. Should it be the case that luck is a condition, it follows that if japan can get very wet at times, then ethanol is made from grains better utilized as food.
|
It is fair to say that authenticity is believability.
|
It is fair to say that authenticity is believability.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [7] or [8].
If [7], then [1]. [SC2-2]
If [8], then [2].
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either (If [9], then [10].) or (If [11], then [12].).
If (If [9], then [10].), then (If [7], then [1].). [SC2-3]
If (If [11], then [12].), then (If [7], then [1].). [SC3-3]
Therefore, If [7], then [1]..
[SC2-3]
Modus Ponens:
If [13], then (If (If [9], then [10].), then (If [7], then [1].).).
[13]
Therefore, If (If [9], then [10].), then (If [7], then [1].)..
[SC3-3]
Hypothetical Syllogism:
If (If [11], then [12].), then (If [14], then [15].). [SC1-4]
If (If [14], then [15].), then (If [7], then [1].).
Therefore, If (If [11], then [12].), then (If [7], then [1].)..
[SC1-4]
Hypothetical Syllogism:
If (If [11], then [12].), then [16].
If [16], then (If [14], then [15].).
Therefore, If (If [11], then [12].), then (If [14], then [15].)..
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or (Either [5] or [6].).
If (If [3], then [4].), then (If [1], then [0].).
If (Either [5] or [6].), then (If [1], then [0].).
Therefore, If [1], then [0]..
|
{0: 'Authenticity is believability.', 1: 'Breast tissue consists of glands and fat and has an atomic number six.', 2: 'Statutes of repose are akin to statutes of limitations.', 3: 'Bead is a prototype system for the graphically-based exploration of information.', 4: 'Some dogs appear during summer.', 5: 'Cabinets have (part) shelves.', 6: 'Virtual universities exist to deliver college credit in the form of content-filled coursework.', 7: 'Butterflies use their vision and scent glands to attract and find mates.', 8: 'Weather is a predominant influence in the causation of cold injury.', 9: 'Some scientists understand nutrition.', 10: 'Hails are calling.', 11: 'Temperance is to life, health, and character as mortar is to a brick building.', 12: 'Construction creates habitats.', 13: 'Intensity is a measure of how forceful the earthquake feels in a certain area.', 14: 'Japan can get very wet at times.', 15: 'Ethanol is made from grains better utilized as food.', 16: 'Luck is a condition.'}
| 7 |
6,427 |
['Assuming those that suggest either people understand offers or a manufacturing plant is a plant are wrong, we know that semaphores have three properties.', "The statement that 'semaphores have three properties' is incorrect.", "So long as the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, 'the statement that states money is a resource that allows people to get on with living is false' is true.", "If most armadillos have poor vision, then if a manufacturing plant is a plant, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect.", "If genetic testing can also help to determine carrier status, then if a manufacturing plant is a plant, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect.", 'There is good reason to believe that either intracranial comparison is a powerful tool for phylogenetic classification of fossils or if most tsunamis are caused by quakes, then wireless networks have to operate over a shared communication medium.', "Whenever it is true that intracranial comparison is a powerful tool for phylogenetic classification of fossils, 'if the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, then money is a resource that allows people to get on with living' is true.", "Whenever it is true that if most tsunamis are caused by quakes, then wireless networks have to operate over a shared communication medium, 'if the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, then money is a resource that allows people to get on with living' is true.", 'It is rational to believe that either either herbs work completely differently than drugs or an income tax is a tax or fish have air-filled sacs called swimbladders inside their bodies.', 'Assuming either herbs work completely differently than drugs or an income tax is a tax, we know that either most armadillos have poor vision or genetic testing can also help to determine carrier status.', 'Given that we know that the claim that if fish have air-filled sacs called swimbladders inside their bodies, then either most armadillos have poor vision or genetic testing can also help to determine carrier status is false, it can be inferred that mites cause a bronzed or stippled appearance on the foliage, especially in hot weather.', 'Once we know we know that the claim that if fish have air-filled sacs called swimbladders inside their bodies, then either most armadillos have poor vision or genetic testing can also help to determine carrier status is false, we also know that it is not true that mites cause a bronzed or stippled appearance on the foliage, especially in hot weather.']
|
Assuming those that suggest either people understand offers or a manufacturing plant is a plant are wrong, we know that semaphores have three properties. The statement that 'semaphores have three properties' is incorrect. So long as the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, 'the statement that states money is a resource that allows people to get on with living is false' is true. If most armadillos have poor vision, then if a manufacturing plant is a plant, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect. If genetic testing can also help to determine carrier status, then if a manufacturing plant is a plant, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect. There is good reason to believe that either intracranial comparison is a powerful tool for phylogenetic classification of fossils or if most tsunamis are caused by quakes, then wireless networks have to operate over a shared communication medium. Whenever it is true that intracranial comparison is a powerful tool for phylogenetic classification of fossils, 'if the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, then money is a resource that allows people to get on with living' is true. Whenever it is true that if most tsunamis are caused by quakes, then wireless networks have to operate over a shared communication medium, 'if the claim that if people understand offers, then the statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect is false, then money is a resource that allows people to get on with living' is true. It is rational to believe that either either herbs work completely differently than drugs or an income tax is a tax or fish have air-filled sacs called swimbladders inside their bodies. Assuming either herbs work completely differently than drugs or an income tax is a tax, we know that either most armadillos have poor vision or genetic testing can also help to determine carrier status. Given that we know that the claim that if fish have air-filled sacs called swimbladders inside their bodies, then either most armadillos have poor vision or genetic testing can also help to determine carrier status is false, it can be inferred that mites cause a bronzed or stippled appearance on the foliage, especially in hot weather. Once we know we know that the claim that if fish have air-filled sacs called swimbladders inside their bodies, then either most armadillos have poor vision or genetic testing can also help to determine carrier status is false, we also know that it is not true that mites cause a bronzed or stippled appearance on the foliage, especially in hot weather.
|
The statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect.
|
The statement that 'text processing itself stands on assumptions about how to tokenize and normalize text into words' is incorrect.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [6].
Not [6].
Therefore, Either [1] or [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [5]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [5].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (If (Not (If [1], then (Not [0].).).), then [5].).
If (If [11], then [12].), then (If (Not (If [1], then (Not [0].).).), then [5].).
Therefore, If (Not (If [1], then (Not [0].).).), then [5]..
[SC3-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [2], then (Not [0].).).
If [4], then (If [2], then (Not [0].).).
Therefore, If [2], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Either [3] or [4].).
If [9], then (Either [3] or [4].). [SC3-3]
Therefore, Either [3] or [4]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [9], then (Either [3] or [4].).).), then [13].
If (Not (If [9], then (Either [3] or [4].).).), then (Not [13].).
Therefore, If [9], then (Either [3] or [4].)..
|
{0: 'Text processing itself stands on assumptions about how to tokenize and normalize text into words.', 1: 'People understand offers.', 2: 'A manufacturing plant is a plant.', 3: 'Most armadillos have poor vision.', 4: 'Genetic testing can also help to determine carrier status.', 5: 'Money is a resource that allows people to get on with living.', 6: 'Semaphores have three properties.', 7: 'Herbs work completely differently than drugs.', 8: 'An income tax is a tax.', 9: 'Fish have air-filled sacs called swimbladders inside their bodies.', 10: 'Intracranial comparison is a powerful tool for phylogenetic classification of fossils.', 11: 'Most tsunamis are caused by quakes.', 12: 'Wireless networks have to operate over a shared communication medium.', 13: 'Mites cause a bronzed or stippled appearance on the foliage, especially in hot weather.'}
| 7 |
6,309 |
["Whenever it is true that some people mistakenly believe that either if energy travels through matter as waves, then cats are solitary animals and usually hunt alone or the statement that 'currency is a layered and distorted image of bills from around the world' is incorrect, 'cockles have much sand sticking to their shells before storms' is true.", "When termite soldiers are blind, but still capable of defending their nest is true, it follows that if some people mistakenly believe that either if energy travels through matter as waves, then cats are solitary animals and usually hunt alone or the statement that 'currency is a layered and distorted image of bills from around the world' is incorrect, then those that suggest cockles have much sand sticking to their shells before storms are wrong.", 'It is rational to agree that termite soldiers are blind, but still capable of defending their nest.', "So long as the statement 'if transactions are causal loops in which each factor affects the other, then it is a common misconception that if energy travels through matter as waves, then cats are solitary animals and usually hunt alone' can be considered false, 'most animals eat proteins' is true.", "When the statement 'if transactions are causal loops in which each factor affects the other, then it is a common misconception that if energy travels through matter as waves, then cats are solitary animals and usually hunt alone' can be considered false is true, it follows that the claim that most animals eat proteins does not correspond with reality.", 'We know that at least one of two things is true: requirements influence complexity, or transactions are causal loops in which each factor affects the other.', "We know that either if most thyroid cancers are slow growing, and readily cured, then elephants have only four molars in use at a time or the notion that 'requirements influence complexity' is untrue.", 'The claim that if most thyroid cancers are slow growing, and readily cured, then elephants have only four molars in use at a time has no merit.']
|
Whenever it is true that some people mistakenly believe that either if energy travels through matter as waves, then cats are solitary animals and usually hunt alone or the statement that 'currency is a layered and distorted image of bills from around the world' is incorrect, 'cockles have much sand sticking to their shells before storms' is true. When termite soldiers are blind, but still capable of defending their nest is true, it follows that if some people mistakenly believe that either if energy travels through matter as waves, then cats are solitary animals and usually hunt alone or the statement that 'currency is a layered and distorted image of bills from around the world' is incorrect, then those that suggest cockles have much sand sticking to their shells before storms are wrong. It is rational to agree that termite soldiers are blind, but still capable of defending their nest. So long as the statement 'if transactions are causal loops in which each factor affects the other, then it is a common misconception that if energy travels through matter as waves, then cats are solitary animals and usually hunt alone' can be considered false, 'most animals eat proteins' is true. When the statement 'if transactions are causal loops in which each factor affects the other, then it is a common misconception that if energy travels through matter as waves, then cats are solitary animals and usually hunt alone' can be considered false is true, it follows that the claim that most animals eat proteins does not correspond with reality. We know that at least one of two things is true: requirements influence complexity, or transactions are causal loops in which each factor affects the other. We know that either if most thyroid cancers are slow growing, and readily cured, then elephants have only four molars in use at a time or the notion that 'requirements influence complexity' is untrue. The claim that if most thyroid cancers are slow growing, and readily cured, then elephants have only four molars in use at a time has no merit.
|
The statement that 'currency is a layered and distorted image of bills from around the world' is incorrect.
|
It is true that currency is a layered and distorted image of bills from around the world.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or (Not [0].).).), then [3].
If (Not (Either (If [1], then [2].) or (Not [0].).).), then (Not [3].). [SC2-2]
Therefore, Either (If [1], then [2].) or (Not [0].)..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (Either (If [1], then [2].) or (Not [0].).).), then (Not [3].).).
[6]
Therefore, If (Not (Either (If [1], then [2].) or (Not [0].).).), then (Not [3].)..
[SC2-1]
Modus Ponens:
If [4], then (Not (If [1], then [2].).). [SC1-2]
[4] [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not (If [1], then [2].).).).), then [7].
If (Not (If [4], then (Not (If [1], then [2].).).).), then (Not [7].).
Therefore, If [4], then (Not (If [1], then [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [4].
Not [5]. [SC2-3]
Therefore, [4].
[SC2-3]
Disjunctive Syllogism:
Either (If [8], then [9].) or (Not [5].).
Not (If [8], then [9].).
Therefore, Not [5]..
|
{0: 'Currency is a layered and distorted image of bills from around the world.', 1: 'Energy travels through matter as waves.', 2: 'Cats are solitary animals and usually hunt alone.', 3: 'Cockles have much sand sticking to their shells before storms.', 4: 'Transactions are causal loops in which each factor affects the other.', 5: 'Requirements influence complexity.', 6: 'Termite soldiers are blind, but still capable of defending their nest.', 7: 'Most animals eat proteins.', 8: 'Most thyroid cancers are slow growing, and readily cured.', 9: 'Elephants have only four molars in use at a time.'}
| 7 |
6,775 |
['There is good reason to believe that either some air pressure causes air or earthquakes strike regions.', 'Once we know earthquakes strike regions, we also know that mavericks typically hog resources.', 'Some people mistakenly believe that most caimen have teeth.', 'It is rational to believe that either some wildflowers do fine in poor soils while others require a more fertile environment or if barrier islands are islands, then images take many forms and transcend boundaries of time, culture, and language.', 'When if barrier islands are islands, then images take many forms and transcend boundaries of time, culture, and language is true, it follows that either most caimen have teeth or if some air pressure causes air, then mavericks typically hog resources.', 'Given that castles have (part) attics, it can be inferred that if accompaniment literally means to walk with or alongside people, then if some wildflowers do fine in poor soils while others require a more fertile environment, then either most caimen have teeth or if some air pressure causes air, then mavericks typically hog resources.', "The statement 'castles have (part) attics' is true.", 'On the condition that it is not the case that accompaniment literally means to walk with or alongside people, it is definitely the case that wrango soils are on alluvial fan and inset fans.', "We know that at least one of two things is true: if pleasantness is quality, then fangs are tooths, or the statement 'wrango soils are on alluvial fan and inset fans' can be considered false.", 'The claim that if pleasantness is quality, then fangs are tooths does not correspond with reality.']
|
There is good reason to believe that either some air pressure causes air or earthquakes strike regions. Once we know earthquakes strike regions, we also know that mavericks typically hog resources. Some people mistakenly believe that most caimen have teeth. It is rational to believe that either some wildflowers do fine in poor soils while others require a more fertile environment or if barrier islands are islands, then images take many forms and transcend boundaries of time, culture, and language. When if barrier islands are islands, then images take many forms and transcend boundaries of time, culture, and language is true, it follows that either most caimen have teeth or if some air pressure causes air, then mavericks typically hog resources. Given that castles have (part) attics, it can be inferred that if accompaniment literally means to walk with or alongside people, then if some wildflowers do fine in poor soils while others require a more fertile environment, then either most caimen have teeth or if some air pressure causes air, then mavericks typically hog resources. The statement 'castles have (part) attics' is true. On the condition that it is not the case that accompaniment literally means to walk with or alongside people, it is definitely the case that wrango soils are on alluvial fan and inset fans. We know that at least one of two things is true: if pleasantness is quality, then fangs are tooths, or the statement 'wrango soils are on alluvial fan and inset fans' can be considered false. The claim that if pleasantness is quality, then fangs are tooths does not correspond with reality.
|
It is a simple truth that mavericks typically hog resources.
|
Mavericks are calfs.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].). [SC1-2]
Not [3].
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (Either [3] or (If [1], then [0].).). [SC2-3]
If (If [5], then [6].), then (Either [3] or (If [1], then [0].).).
Therefore, Either [3] or (If [1], then [0].)..
[SC2-3]
Modus Ponens:
If [7], then (If [4], then (Either [3] or (If [1], then [0].).).). [SC1-4]
[7] [SC2-4]
Therefore, If [4], then (Either [3] or (If [1], then [0].).)..
[SC1-4]
Modus Ponens:
If [8], then (If [7], then (If [4], then (Either [3] or (If [1], then [0].).).).).
[8]
Therefore, If [7], then (If [4], then (Either [3] or (If [1], then [0].).).)..
[SC2-4]
Modus Tonens:
If (Not [7].), then [9].
Not [9]. [SC2-5]
Therefore, [7].
[SC2-5]
Disjunctive Syllogism:
Either (If [10], then [11].) or (Not [9].).
Not (If [10], then [11].).
Therefore, Not [9]..
|
{0: 'Mavericks typically hog resources.', 1: 'Some air pressure causes air.', 2: 'Earthquakes strike regions.', 3: 'Most caimen have teeth.', 4: 'Some wildflowers do fine in poor soils while others require a more fertile environment.', 5: 'Barrier islands are islands.', 6: 'Images take many forms and transcend boundaries of time, culture, and language.', 7: 'Accompaniment literally means to walk with or alongside people.', 8: 'Castles have (part) attics.', 9: 'Wrango soils are on alluvial fan and inset fans.', 10: 'Pleasantness is quality.', 11: 'Fangs are tooths.'}
| 7 |
6,885 |
["Either one or both of these statements are true: allergic reactions are nature's way, or a thresher shark is a shark.", 'It is a fact that either many men accept the cultural norm that males lack the biological capacity to deal with emotion or specimens grow in places.', 'On the condition that many men accept the cultural norm that males lack the biological capacity to deal with emotion, it is definitely the case that if rice provides starches, then privacy is a continual issue on the Internet.', 'Once we know specimens grow in places, we also know that if rice provides starches, then privacy is a continual issue on the Internet.', "So long as grace is a church of people ministering to people, 'either if optimum nutrition is a lifestyle commitment, then overcast days are good for taking pictures because there are few shadows or if if rice provides starches, then privacy is a continual issue on the Internet, then if either allergic reactions are nature's way or a thresher shark is a shark, then if population growth is encouraged for greater profits in the expanding global economy, then users respond to tasks' is true.", 'The statement that states grace is a church of people ministering to people is right.', 'We know that at least one of two things is true: either amateur radio is a hobby of personal enjoyment or users have (part) vacuoles, or those that suggest if optimum nutrition is a lifestyle commitment, then overcast days are good for taking pictures because there are few shadows are wrong.', 'It is rational to believe that either neutrinos interact with matter only through the weak interaction and hence are difficult to detect or the claim that either amateur radio is a hobby of personal enjoyment or users have (part) vacuoles does not correspond with reality.', 'The claim that neutrinos interact with matter only through the weak interaction and hence are difficult to detect does not reflect reality.']
|
Either one or both of these statements are true: allergic reactions are nature's way, or a thresher shark is a shark. It is a fact that either many men accept the cultural norm that males lack the biological capacity to deal with emotion or specimens grow in places. On the condition that many men accept the cultural norm that males lack the biological capacity to deal with emotion, it is definitely the case that if rice provides starches, then privacy is a continual issue on the Internet. Once we know specimens grow in places, we also know that if rice provides starches, then privacy is a continual issue on the Internet. So long as grace is a church of people ministering to people, 'either if optimum nutrition is a lifestyle commitment, then overcast days are good for taking pictures because there are few shadows or if if rice provides starches, then privacy is a continual issue on the Internet, then if either allergic reactions are nature's way or a thresher shark is a shark, then if population growth is encouraged for greater profits in the expanding global economy, then users respond to tasks' is true. The statement that states grace is a church of people ministering to people is right. We know that at least one of two things is true: either amateur radio is a hobby of personal enjoyment or users have (part) vacuoles, or those that suggest if optimum nutrition is a lifestyle commitment, then overcast days are good for taking pictures because there are few shadows are wrong. It is rational to believe that either neutrinos interact with matter only through the weak interaction and hence are difficult to detect or the claim that either amateur radio is a hobby of personal enjoyment or users have (part) vacuoles does not correspond with reality. The claim that neutrinos interact with matter only through the weak interaction and hence are difficult to detect does not reflect reality.
|
Given that population growth is encouraged for greater profits in the expanding global economy, it can be inferred that users respond to tasks.
|
Given that population growth is encouraged for greater profits in the expanding global economy, it can be inferred that users respond to tasks.
|
TRUE
|
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].). [SC1-1]
Either [2] or [3].
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If (Either [2] or [3].), then (If [0], then [1].).). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (If [4], then [5].), then (If (Either [2] or [3].), then (If [0], then [1].).).). [SC1-3]
Not (If [6], then [7].). [SC2-3]
Therefore, If (If [4], then [5].), then (If (Either [2] or [3].), then (If [0], then [1].).)..
[SC1-3]
Modus Ponens:
If [10], then (Either (If [6], then [7].) or (If (If [4], then [5].), then (If (Either [2] or [3].), then (If [0], then [1].).).).).
[10]
Therefore, Either (If [6], then [7].) or (If (If [4], then [5].), then (If (Either [2] or [3].), then (If [0], then [1].).).)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [11] or [12].) or (Not (If [6], then [7].).).
Not (Either [11] or [12].). [SC2-4]
Therefore, Not (If [6], then [7].)..
[SC2-4]
Disjunctive Syllogism:
Either [13] or (Not (Either [11] or [12].).).
Not [13].
Therefore, Not (Either [11] or [12].)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then [5].).
If [9], then (If [4], then [5].).
Therefore, If [4], then [5]..
|
{0: 'Population growth is encouraged for greater profits in the expanding global economy.', 1: 'Users respond to tasks.', 2: "Allergic reactions are nature's way.", 3: 'A thresher shark is a shark.', 4: 'Rice provides starches.', 5: 'Privacy is a continual issue on the Internet.', 6: 'Optimum nutrition is a lifestyle commitment.', 7: 'Overcast days are good for taking pictures because there are few shadows.', 8: 'Many men accept the cultural norm that males lack the biological capacity to deal with emotion.', 9: 'Specimens grow in places.', 10: 'Grace is a church of people ministering to people.', 11: 'Amateur radio is a hobby of personal enjoyment.', 12: 'Users have (part) vacuoles.', 13: 'Neutrinos interact with matter only through the weak interaction and hence are difficult to detect.'}
| 7 |
6,015 |
['Given that moles are solitary animals that come together only to breed, it can be inferred that either some walls cover cell membranes or atoms form bonds to other atoms by transferring or sharing electrons.', "The statement 'moles are solitary animals that come together only to breed' can be considered true.", 'We know that at least one of two things is true: either some renal abnormalities occur after initiations or sea lions travel by swimming, in general, while sea gulls travel mainly through the air, or if some walls cover cell membranes, then if springtails have (part) sections, then most ranches keep cattle.', 'The statement that states either discharge is flow or books are the windows to our imagination and dreams is false.', 'Given that either some renal abnormalities occur after initiations or sea lions travel by swimming, in general, while sea gulls travel mainly through the air, it can be inferred that light is transmitted through transparent medium such as glass.', 'The statement, light is transmitted through transparent medium such as glass, does not hold.', 'Given that potassium is vital for the normal operation of the nervous system, muscles and the kidneys, it can be inferred that either either discharge is flow or books are the windows to our imagination and dreams or if atoms form bonds to other atoms by transferring or sharing electrons, then if springtails have (part) sections, then most ranches keep cattle.', 'Either one or both of these statements are true: some water moves through pharynxs, or mynahs have (part) rib cages.', 'One may reasonably assume that if some water moves through pharynxs, then potassium is vital for the normal operation of the nervous system, muscles and the kidneys.', "Whenever it is true that mynahs have (part) rib cages, 'potassium is vital for the normal operation of the nervous system, muscles and the kidneys' is true."]
|
Given that moles are solitary animals that come together only to breed, it can be inferred that either some walls cover cell membranes or atoms form bonds to other atoms by transferring or sharing electrons. The statement 'moles are solitary animals that come together only to breed' can be considered true. We know that at least one of two things is true: either some renal abnormalities occur after initiations or sea lions travel by swimming, in general, while sea gulls travel mainly through the air, or if some walls cover cell membranes, then if springtails have (part) sections, then most ranches keep cattle. The statement that states either discharge is flow or books are the windows to our imagination and dreams is false. Given that either some renal abnormalities occur after initiations or sea lions travel by swimming, in general, while sea gulls travel mainly through the air, it can be inferred that light is transmitted through transparent medium such as glass. The statement, light is transmitted through transparent medium such as glass, does not hold. Given that potassium is vital for the normal operation of the nervous system, muscles and the kidneys, it can be inferred that either either discharge is flow or books are the windows to our imagination and dreams or if atoms form bonds to other atoms by transferring or sharing electrons, then if springtails have (part) sections, then most ranches keep cattle. Either one or both of these statements are true: some water moves through pharynxs, or mynahs have (part) rib cages. One may reasonably assume that if some water moves through pharynxs, then potassium is vital for the normal operation of the nervous system, muscles and the kidneys. Whenever it is true that mynahs have (part) rib cages, 'potassium is vital for the normal operation of the nervous system, muscles and the kidneys' is true.
|
Whenever it is true that springtails have (part) sections, 'most ranches keep cattle' is true.
|
If springtails have (part) sections, then ranchs are farms.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [6], then (Either [2] or [3].).
[6]
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If [2], then (If [0], then [1].).).
Not (Either [7] or [8].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Modus Tonens:
If (Either [7] or [8].), then [9].
Not [9].
Therefore, Not (Either [7] or [8].)..
[SC3-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If [3], then (If [0], then [1].).). [SC1-2]
Not (Either [4] or [5].).
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [10], then (Either (Either [4] or [5].) or (If [3], then (If [0], then [1].).).).
[10] [SC2-3]
Therefore, Either (Either [4] or [5].) or (If [3], then (If [0], then [1].).)..
[SC2-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then [10].
If [12], then [10].
Therefore, [10].
|
{0: 'Springtails have (part) sections.', 1: 'Most ranches keep cattle.', 2: 'Some walls cover cell membranes.', 3: 'Atoms form bonds to other atoms by transferring or sharing electrons.', 4: 'Discharge is flow.', 5: 'Books are the windows to our imagination and dreams.', 6: 'Moles are solitary animals that come together only to breed.', 7: 'Some renal abnormalities occur after initiations.', 8: 'Sea lions travel by swimming, in general, while sea gulls travel mainly through the air.', 9: 'Light is transmitted through transparent medium such as glass.', 10: 'Potassium is vital for the normal operation of the nervous system, muscles and the kidneys.', 11: 'Some water moves through pharynxs.', 12: 'Mynahs have (part) rib cages.'}
| 7 |
6,493 |
['Either appreciation is the ability to value someone or something for their positive aspects or if if confidentiality is the corner-stone of any counseling or therapy relationship, then ground water is stored in aquifers, then the claim that elder Flowers are ideal for the treatment of colds and influenza is false.', 'It is not true that oral skills are important, especially the ability to speak in public and tell stories.', 'Given that appreciation is the ability to value someone or something for their positive aspects, it can be inferred that those that suggest frets mark the locations of notes along the musical scale are wrong.', 'When many other substances have powerful effects is true, it follows that if it is not the case that if confidentiality is the corner-stone of any counseling or therapy relationship, then ground water is stored in aquifers, then oral skills are important, especially the ability to speak in public and tell stories.', 'It is true that many other substances have powerful effects.', 'If those that suggest if appreciation is the ability to value someone or something for their positive aspects, then frets mark the locations of notes along the musical scale are wrong, then fireballs can be green, yellow, orange, blue, red, as well as brilliant white.', 'Given that those that suggest if appreciation is the ability to value someone or something for their positive aspects, then frets mark the locations of notes along the musical scale are wrong, it can be inferred that either creatine is produced naturally in the human liver, pancreas, and kidneys or flowers can hang down to better catch the wind.', 'On the condition that either creatine is produced naturally in the human liver, pancreas, and kidneys or flowers can hang down to better catch the wind, it is definitely the case that the statement, fireballs can be green, yellow, orange, blue, red, as well as brilliant white, does not hold.']
|
Either appreciation is the ability to value someone or something for their positive aspects or if if confidentiality is the corner-stone of any counseling or therapy relationship, then ground water is stored in aquifers, then the claim that elder Flowers are ideal for the treatment of colds and influenza is false. It is not true that oral skills are important, especially the ability to speak in public and tell stories. Given that appreciation is the ability to value someone or something for their positive aspects, it can be inferred that those that suggest frets mark the locations of notes along the musical scale are wrong. When many other substances have powerful effects is true, it follows that if it is not the case that if confidentiality is the corner-stone of any counseling or therapy relationship, then ground water is stored in aquifers, then oral skills are important, especially the ability to speak in public and tell stories. It is true that many other substances have powerful effects. If those that suggest if appreciation is the ability to value someone or something for their positive aspects, then frets mark the locations of notes along the musical scale are wrong, then fireballs can be green, yellow, orange, blue, red, as well as brilliant white. Given that those that suggest if appreciation is the ability to value someone or something for their positive aspects, then frets mark the locations of notes along the musical scale are wrong, it can be inferred that either creatine is produced naturally in the human liver, pancreas, and kidneys or flowers can hang down to better catch the wind. On the condition that either creatine is produced naturally in the human liver, pancreas, and kidneys or flowers can hang down to better catch the wind, it is definitely the case that the statement, fireballs can be green, yellow, orange, blue, red, as well as brilliant white, does not hold.
|
The claim that elder Flowers are ideal for the treatment of colds and influenza is false.
|
Those that suggest elder Flowers are ideal for the treatment of colds and influenza are right.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (If [1], then [2].), then (Not [0].).).
Not [4]. [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [6]. [SC1-3]
If [4], then (Not [6].).
Therefore, Not [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then [6].).), then [7].
If (Not (If [4], then [6].).), then (Not [7].). [SC2-4]
Therefore, If [4], then [6]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If [4], then [6].).), then (Either [8] or [9].).
If (Either [8] or [9].), then (Not [7].).
Therefore, If (Not (If [4], then [6].).), then (Not [7].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [3]. [SC1-2]
Not [3].
Therefore, If [1], then [2]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If [1], then [2].).), then [3].).
[5]
Therefore, If (Not (If [1], then [2].).), then [3]..
|
{0: 'Elder Flowers are ideal for the treatment of colds and influenza.', 1: 'Confidentiality is the corner-stone of any counseling or therapy relationship.', 2: 'Ground water is stored in aquifers.', 3: 'Oral skills are important, especially the ability to speak in public and tell stories.', 4: 'Appreciation is the ability to value someone or something for their positive aspects.', 5: 'Many other substances have powerful effects.', 6: 'Frets mark the locations of notes along the musical scale.', 7: 'Fireballs can be green, yellow, orange, blue, red, as well as brilliant white.', 8: 'Creatine is produced naturally in the human liver, pancreas, and kidneys.', 9: 'Flowers can hang down to better catch the wind.'}
| 7 |
6,245 |
['The claim that fat digestion can only occur at the surface of fat globules does not reflect reality.', 'At least one of two things is true: carpenter ants are one of the larger ants in Maine, or either iranian revolution causes major disruptions in oil supplies from the Persian Gulf or hydrofoils are devices.', "If carpenter ants are one of the larger ants in Maine, then if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most nebulas emit light.", "Assuming either iranian revolution causes major disruptions in oil supplies from the Persian Gulf or hydrofoils are devices, we know that if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most nebulas emit light.", 'On the condition that most female platypuses build burrows, it is definitely the case that if poison comes from plants, then enhanced metabolism allows the plant to breakdown the herbicide faster to non-phytotoxic components.', "Given that if aD affects the parts of the brain that control thought, memory and language, then full sunlight is needed for many plants to assume their full potential, it can be inferred that if if poison comes from plants, then enhanced metabolism allows the plant to breakdown the herbicide faster to non-phytotoxic components, then the statement 'most nebulas emit light' can be considered false.", 'On the condition that aD affects the parts of the brain that control thought, memory and language, it is definitely the case that full sunlight is needed for many plants to assume their full potential.', 'We know that either liquid nitrogen poses no environmental hazards or if homeostasis is equilibrium, then authors work for companies.', "Once we know liquid nitrogen poses no environmental hazards, we also know that if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most female platypuses build burrows.", "One may reasonably assume that if if homeostasis is equilibrium, then authors work for companies, then if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most female platypuses build burrows."]
|
The claim that fat digestion can only occur at the surface of fat globules does not reflect reality. At least one of two things is true: carpenter ants are one of the larger ants in Maine, or either iranian revolution causes major disruptions in oil supplies from the Persian Gulf or hydrofoils are devices. If carpenter ants are one of the larger ants in Maine, then if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most nebulas emit light. Assuming either iranian revolution causes major disruptions in oil supplies from the Persian Gulf or hydrofoils are devices, we know that if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most nebulas emit light. On the condition that most female platypuses build burrows, it is definitely the case that if poison comes from plants, then enhanced metabolism allows the plant to breakdown the herbicide faster to non-phytotoxic components. Given that if aD affects the parts of the brain that control thought, memory and language, then full sunlight is needed for many plants to assume their full potential, it can be inferred that if if poison comes from plants, then enhanced metabolism allows the plant to breakdown the herbicide faster to non-phytotoxic components, then the statement 'most nebulas emit light' can be considered false. On the condition that aD affects the parts of the brain that control thought, memory and language, it is definitely the case that full sunlight is needed for many plants to assume their full potential. We know that either liquid nitrogen poses no environmental hazards or if homeostasis is equilibrium, then authors work for companies. Once we know liquid nitrogen poses no environmental hazards, we also know that if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most female platypuses build burrows. One may reasonably assume that if if homeostasis is equilibrium, then authors work for companies, then if the statement that 'if strategic issues are the fundamental challenges that confront labor and management, then fat digestion can only occur at the surface of fat globules' is incorrect, then most female platypuses build burrows.
|
The statement that states strategic issues are the fundamental challenges that confront labor and management is false.
|
Many people rightly believe that strategic issues are the fundamental challenges that confront labor and management.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (If (Not (If [0], then [1].).), then [2].).
If (Either [4] or [5].), then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then (If [6], then [7].). [SC1-3]
If (If [6], then [7].), then (Not [2].). [SC2-3]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [10]. [SC1-4]
If [10], then (If [6], then [7].).
Therefore, If (Not (If [0], then [1].).), then (If [6], then [7].)..
[SC1-4]
Disjunction Elimination:
Either [11] or (If [12], then [13].).
If [11], then (If (Not (If [0], then [1].).), then [10].).
If (If [12], then [13].), then (If (Not (If [0], then [1].).), then [10].).
Therefore, If (Not (If [0], then [1].).), then [10]..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (If (If [6], then [7].), then (Not [2].).).
If [8], then [9].
Therefore, If (If [6], then [7].), then (Not [2].)..
|
{0: 'Strategic issues are the fundamental challenges that confront labor and management.', 1: 'Fat digestion can only occur at the surface of fat globules.', 2: 'Most nebulas emit light.', 3: 'Carpenter ants are one of the larger ants in Maine.', 4: 'Iranian revolution causes major disruptions in oil supplies from the Persian Gulf.', 5: 'Hydrofoils are devices.', 6: 'Poison comes from plants.', 7: 'Enhanced metabolism allows the plant to breakdown the herbicide faster to non-phytotoxic components.', 8: 'AD affects the parts of the brain that control thought, memory and language.', 9: 'Full sunlight is needed for many plants to assume their full potential.', 10: 'Most female platypuses build burrows.', 11: 'Liquid nitrogen poses no environmental hazards.', 12: 'Homeostasis is equilibrium.', 13: 'Authors work for companies.'}
| 7 |
6,898 |
["Either acute ergotism produces alkaloids, which are toxic or if the statement 'some animals rely on voles' can be considered false, then no people have (part) cytoplasm.", 'Provided that most eyes see light, we know that it is not the case that no people have (part) cytoplasm.', 'If acute ergotism produces alkaloids, which are toxic, then we know that the claim that adult wasps feed on sweet liquids is false.', 'One may reasonably assume that if ligers are the offspring of a male lion bred with a female tiger, then most eyes see light.', 'It is rational to believe that either aromatherapy is another way to lift depression or if acute ergotism produces alkaloids, which are toxic, then adult wasps feed on sweet liquids.', "The statement 'aromatherapy is another way to lift depression' can be considered false.", 'On the condition that it is not true that ligers are the offspring of a male lion bred with a female tiger, it is definitely the case that kangaroos are marsupials.', 'The claim that kangaroos are marsupials does not correspond with reality.']
|
Either acute ergotism produces alkaloids, which are toxic or if the statement 'some animals rely on voles' can be considered false, then no people have (part) cytoplasm. Provided that most eyes see light, we know that it is not the case that no people have (part) cytoplasm. If acute ergotism produces alkaloids, which are toxic, then we know that the claim that adult wasps feed on sweet liquids is false. One may reasonably assume that if ligers are the offspring of a male lion bred with a female tiger, then most eyes see light. It is rational to believe that either aromatherapy is another way to lift depression or if acute ergotism produces alkaloids, which are toxic, then adult wasps feed on sweet liquids. The statement 'aromatherapy is another way to lift depression' can be considered false. On the condition that it is not true that ligers are the offspring of a male lion bred with a female tiger, it is definitely the case that kangaroos are marsupials. The claim that kangaroos are marsupials does not correspond with reality.
|
The statement that states some animals rely on voles is right.
|
The statement that 'some animals rely on voles' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [5]. [SC1-3]
If [2], then (Not [5].).
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [2], then [5].).
Not [6].
Therefore, If [2], then [5]..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [4], then [3].
[4] [SC2-3]
Therefore, [3].
[SC2-3]
Modus Tonens:
If (Not [4].), then [7].
Not [7].
Therefore, [4].
|
{0: 'Some animals rely on voles.', 1: 'No people have (part) cytoplasm.', 2: 'Acute ergotism produces alkaloids, which are toxic.', 3: 'Most eyes see light.', 4: 'Ligers are the offspring of a male lion bred with a female tiger.', 5: 'Adult wasps feed on sweet liquids.', 6: 'Aromatherapy is another way to lift depression.', 7: 'Kangaroos are marsupials.'}
| 7 |
6,006 |
['Provided that the claim that if if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities, then if dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, then some older people are unable to manage their own affairs due to a medical or a mental condition is false, we know that tornadoes form more in the United States than anywhere else in the world.', 'It is not true that catholic girls have strong feelings about nuns, often bitter but sometimes affectionate.', 'It is rational to believe that either tektites are protective in nature and aid one in grounding into Earth reality or if boiling water is, in fact, the worst thing to do because it actually concentrates the nitrate, then if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities.', "The statement that 'tektites are protective in nature and aid one in grounding into Earth reality' is incorrect.", 'Either one or both of these statements are true: atlantic leatherbacks are slightly larger than the Pacific population, or boiling water is, in fact, the worst thing to do because it actually concentrates the nitrate.', 'Some people mistakenly believe that atlantic leatherbacks are slightly larger than the Pacific population.', 'Provided that the statement that states if the claim that if the claim that if if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities, then if dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, then some older people are unable to manage their own affairs due to a medical or a mental condition is false, then some people mistakenly believe that tornadoes form more in the United States than anywhere else in the world does not reflect reality, then catholic girls have strong feelings about nuns, often bitter but sometimes affectionate is false, we know that labium isa body part.', 'The statement, labium isa body part, does not hold.']
|
Provided that the claim that if if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities, then if dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, then some older people are unable to manage their own affairs due to a medical or a mental condition is false, we know that tornadoes form more in the United States than anywhere else in the world. It is not true that catholic girls have strong feelings about nuns, often bitter but sometimes affectionate. It is rational to believe that either tektites are protective in nature and aid one in grounding into Earth reality or if boiling water is, in fact, the worst thing to do because it actually concentrates the nitrate, then if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities. The statement that 'tektites are protective in nature and aid one in grounding into Earth reality' is incorrect. Either one or both of these statements are true: atlantic leatherbacks are slightly larger than the Pacific population, or boiling water is, in fact, the worst thing to do because it actually concentrates the nitrate. Some people mistakenly believe that atlantic leatherbacks are slightly larger than the Pacific population. Provided that the statement that states if the claim that if the claim that if if natural sinks are unable to assimilate human-generated carbon dioxide, then domain names convey ideas and transmit organizational identities, then if dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, then some older people are unable to manage their own affairs due to a medical or a mental condition is false, then some people mistakenly believe that tornadoes form more in the United States than anywhere else in the world does not reflect reality, then catholic girls have strong feelings about nuns, often bitter but sometimes affectionate is false, we know that labium isa body part. The statement, labium isa body part, does not hold.
|
Once we know dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, we also know that some older people are unable to manage their own affairs due to a medical or a mental condition.
|
Once we know dMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance, we also know that some older people are unable to manage their own affairs due to a medical or a mental condition.
|
TRUE
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then [5].
If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Not [5].). [SC2-2]
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Not [5].).).), then [6]. [SC1-3]
Not [6].
Therefore, If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Not [5].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Not [5].).).), then [6].).), then [9].
Not [9].
Therefore, If (Not (If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Not [5].).).), then [6]..
[SC2-1]
Modus Ponens:
If [4], then (If [2], then [3].). [SC1-2]
[4] [SC2-2]
Therefore, If [2], then [3]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If [4], then (If [2], then [3].).).
Not [8].
Therefore, If [4], then (If [2], then [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or [4].
Not [7].
Therefore, [4].
|
{0: 'DMD patients lack a protein dubbed dystrophin, which plays a critical role in muscle maintenance.', 1: 'Some older people are unable to manage their own affairs due to a medical or a mental condition.', 2: 'Natural sinks are unable to assimilate human-generated carbon dioxide.', 3: 'Domain names convey ideas and transmit organizational identities.', 4: 'Boiling water is, in fact, the worst thing to do because it actually concentrates the nitrate.', 5: 'Tornadoes form more in the United States than anywhere else in the world.', 6: 'Catholic girls have strong feelings about nuns, often bitter but sometimes affectionate.', 7: 'Atlantic leatherbacks are slightly larger than the Pacific population.', 8: 'Tektites are protective in nature and aid one in grounding into Earth reality.', 9: 'Labium isa body part.'}
| 7 |
6,613 |
['Once we know child abuse crosses all economic, cultural, ethnic, and geographic lines, we also know that some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body.', 'If most hammerhead sharks have thick heads, then lions are opportunistic, and carrion is easy food.', 'When compound eyes are usually present is true, it follows that child abuse crosses all economic, cultural, ethnic, and geographic lines.', "Whenever it is true that the statement, if lions are opportunistic, and carrion is easy food, then some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body, does not hold, 'human labor is essential in every aspect of our lives' is true.", 'Should it be the case that the statement, if lions are opportunistic, and carrion is easy food, then some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body, does not hold, it follows that we know that the claim that human labor is essential in every aspect of our lives is false.', "One may reasonably assume that if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then the statement that states difficulties are opportunities to better things is false.", 'The claim that fires there consume thousands of acres of pine forests is true.', 'There is good reason to believe that either crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond or monasteries have (part) attics.', "Whenever it is true that monasteries have (part) attics, 'if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' is true.", "Provided that the statement 'if crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond, then if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' can be considered false, we know that either mallards are very common throughout North America or online identity is a persistent kind of presence.", "Should it be the case that the statement 'if crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond, then if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' can be considered false, it follows that the notion that 'either mallards are very common throughout North America or online identity is a persistent kind of presence' is untrue."]
|
Once we know child abuse crosses all economic, cultural, ethnic, and geographic lines, we also know that some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body. If most hammerhead sharks have thick heads, then lions are opportunistic, and carrion is easy food. When compound eyes are usually present is true, it follows that child abuse crosses all economic, cultural, ethnic, and geographic lines. Whenever it is true that the statement, if lions are opportunistic, and carrion is easy food, then some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body, does not hold, 'human labor is essential in every aspect of our lives' is true. Should it be the case that the statement, if lions are opportunistic, and carrion is easy food, then some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body, does not hold, it follows that we know that the claim that human labor is essential in every aspect of our lives is false. One may reasonably assume that if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then the statement that states difficulties are opportunities to better things is false. The claim that fires there consume thousands of acres of pine forests is true. There is good reason to believe that either crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond or monasteries have (part) attics. Whenever it is true that monasteries have (part) attics, 'if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' is true. Provided that the statement 'if crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond, then if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' can be considered false, we know that either mallards are very common throughout North America or online identity is a persistent kind of presence. Should it be the case that the statement 'if crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond, then if fires there consume thousands of acres of pine forests, then if the statement 'either most hammerhead sharks have thick heads or compound eyes are usually present' can be considered false, then difficulties are opportunities to better things' can be considered false, it follows that the notion that 'either mallards are very common throughout North America or online identity is a persistent kind of presence' is untrue.
|
Some people mistakenly believe that trigger points differ from tender points in that they refer the pain to other parts of the body.
|
It is not true that trigger points are spots of hard, ropy tissue that are sore when touched.
|
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]
Constructive Dilemma:
Either [3] or [4]. [SC1-2]
If [3], then [1].
If [4], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [6]. [SC1-3]
If (Not (Either [3] or [4].).), then (Not [6].).
Therefore, Either [3] or [4]..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (Either [3] or [4].).), then [6].). [SC1-4]
[7]
Therefore, If (Not (Either [3] or [4].).), then [6]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (If (Not (Either [3] or [4].).), then [6].).). [SC2-5]
If [9], then (If [7], then (If (Not (Either [3] or [4].).), then [6].).).
Therefore, If [7], then (If (Not (Either [3] or [4].).), then [6].)..
[SC2-5]
Reductio Ad Absurdum:
If (Not (If [8], then (If [7], then (If (Not (Either [3] or [4].).), then [6].).).).), then (Either [10] or [11].).
If (Not (If [8], then (If [7], then (If (Not (Either [3] or [4].).), then [6].).).).), then (Not (Either [10] or [11].).).
Therefore, If [8], then (If [7], then (If (Not (Either [3] or [4].).), then [6].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [5].
If (Not (If [1], then (Not [0].).).), then (Not [5].).
Therefore, If [1], then (Not [0].)..
|
{0: 'Trigger points differ from tender points in that they refer the pain to other parts of the body.', 1: 'Lions are opportunistic, and carrion is easy food.', 2: 'Child abuse crosses all economic, cultural, ethnic, and geographic lines.', 3: 'Most hammerhead sharks have thick heads.', 4: 'Compound eyes are usually present.', 5: 'Human labor is essential in every aspect of our lives.', 6: 'Difficulties are opportunities to better things.', 7: 'Fires there consume thousands of acres of pine forests.', 8: 'Crystalline boron is transparent, brittle, a non-conductor, and nearly as hard as diamond.', 9: 'Monasteries have (part) attics.', 10: 'Mallards are very common throughout North America.', 11: 'Online identity is a persistent kind of presence.'}
| 7 |
6,533 |
['Either vegetative growth requires nitrogen which is absorbed from the soil or earth contains elements.', 'On the condition that vegetative growth requires nitrogen which is absorbed from the soil, it is definitely the case that japanese people love to read weather forecasts and check out train timetables on their phones.', 'Either one or both of these statements are true: decadence is sometimes amoral, especially in the modern era, or if vegetative growth requires nitrogen which is absorbed from the soil, then the claim that men have noses is false.', 'The claim that decadence is sometimes amoral, especially in the modern era is false.', 'Provided that either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments, we know that if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses.', "If the claim that either either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments or oscuro cigars are black, very stong with little bouquet and are very rare has no merit, then subway lines are color coded on maps to help travelers 'untangle' the mess of lines.", "So long as the claim that either either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments or oscuro cigars are black, very stong with little bouquet and are very rare has no merit, 'the claim that subway lines are color coded on maps to help travelers 'untangle' the mess of lines is false' is true.", 'On the condition that the claim that if oscuro cigars are black, very stong with little bouquet and are very rare, then if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses is false, it is definitely the case that chickens show reaction.', "One may reasonably assume that if the claim that if oscuro cigars are black, very stong with little bouquet and are very rare, then if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses is false, then the notion that 'chickens show reaction' is untrue."]
|
Either vegetative growth requires nitrogen which is absorbed from the soil or earth contains elements. On the condition that vegetative growth requires nitrogen which is absorbed from the soil, it is definitely the case that japanese people love to read weather forecasts and check out train timetables on their phones. Either one or both of these statements are true: decadence is sometimes amoral, especially in the modern era, or if vegetative growth requires nitrogen which is absorbed from the soil, then the claim that men have noses is false. The claim that decadence is sometimes amoral, especially in the modern era is false. Provided that either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments, we know that if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses. If the claim that either either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments or oscuro cigars are black, very stong with little bouquet and are very rare has no merit, then subway lines are color coded on maps to help travelers 'untangle' the mess of lines. So long as the claim that either either some voltage regulators are part of motorbikes or some people test their soil every year to save money on fertilizer, lime and other soil amendments or oscuro cigars are black, very stong with little bouquet and are very rare has no merit, 'the claim that subway lines are color coded on maps to help travelers 'untangle' the mess of lines is false' is true. On the condition that the claim that if oscuro cigars are black, very stong with little bouquet and are very rare, then if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses is false, it is definitely the case that chickens show reaction. One may reasonably assume that if the claim that if oscuro cigars are black, very stong with little bouquet and are very rare, then if japanese people love to read weather forecasts and check out train timetables on their phones, then men have noses is false, then the notion that 'chickens show reaction' is untrue.
|
It is reasonable to believe that earth contains elements.
|
Earth is examined from the vantage point of space.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [4].
If [4], then [2]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7]. [SC1-4]
If (Either [5] or [6].), then (If [4], then [2].).
If [7], then (If [4], then [2].). [SC3-4]
Therefore, If [4], then [2]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either (Either [5] or [6].) or [7].).), then [9].
If (Not (Either (Either [5] or [6].) or [7].).), then (Not [9].).
Therefore, Either (Either [5] or [6].) or [7]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [7], then (If [4], then [2].).).), then [8].
If (Not (If [7], then (If [4], then [2].).).), then (Not [8].).
Therefore, If [7], then (If [4], then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [1], then (Not [2].).).
Not [3].
Therefore, If [1], then (Not [2].)..
|
{0: 'Earth contains elements.', 1: 'Vegetative growth requires nitrogen which is absorbed from the soil.', 2: 'Men have noses.', 3: 'Decadence is sometimes amoral, especially in the modern era.', 4: 'Japanese people love to read weather forecasts and check out train timetables on their phones.', 5: 'Some voltage regulators are part of motorbikes.', 6: 'Some people test their soil every year to save money on fertilizer, lime and other soil amendments.', 7: 'Oscuro cigars are black, very stong with little bouquet and are very rare.', 8: 'Chickens show reaction.', 9: "Subway lines are color coded on maps to help travelers 'untangle' the mess of lines."}
| 7 |
6,397 |
['Should it be the case that vanadium compounds can cause severe liver damage, it follows that calfs are body parts.', 'On the condition that modern people have cro magnon brains, it is definitely the case that calfs are body parts.', "When the statement that 'either accomplishment is an action or macaques show behavior' is incorrect is true, it follows that squeezes are lovers.", 'The claim that squeezes are lovers has no merit.', 'Either animals bring food or computers can do many different jobs because they are programmable.', 'Once we know animals bring food, we also know that if accomplishment is an action, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains.', 'Assuming computers can do many different jobs because they are programmable, we know that if accomplishment is an action, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains.', "One may reasonably assume that if the claim that if macaques show behavior, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains is false, then plagiarism is the unacknowledged borrowing of another writer's words or ideas.", 'It is a fact that either bereavement parents can and do survive or free radicals oxidize fat.', "Should it be the case that free radicals oxidize fat, it follows that those that suggest plagiarism is the unacknowledged borrowing of another writer's words or ideas are wrong.", "When subversion is an abysmal regression is true, it follows that if bereavement parents can and do survive, then those that suggest plagiarism is the unacknowledged borrowing of another writer's words or ideas are wrong.", 'The statement that states subversion is an abysmal regression is right.']
|
Should it be the case that vanadium compounds can cause severe liver damage, it follows that calfs are body parts. On the condition that modern people have cro magnon brains, it is definitely the case that calfs are body parts. When the statement that 'either accomplishment is an action or macaques show behavior' is incorrect is true, it follows that squeezes are lovers. The claim that squeezes are lovers has no merit. Either animals bring food or computers can do many different jobs because they are programmable. Once we know animals bring food, we also know that if accomplishment is an action, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains. Assuming computers can do many different jobs because they are programmable, we know that if accomplishment is an action, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains. One may reasonably assume that if the claim that if macaques show behavior, then either vanadium compounds can cause severe liver damage or modern people have cro magnon brains is false, then plagiarism is the unacknowledged borrowing of another writer's words or ideas. It is a fact that either bereavement parents can and do survive or free radicals oxidize fat. Should it be the case that free radicals oxidize fat, it follows that those that suggest plagiarism is the unacknowledged borrowing of another writer's words or ideas are wrong. When subversion is an abysmal regression is true, it follows that if bereavement parents can and do survive, then those that suggest plagiarism is the unacknowledged borrowing of another writer's words or ideas are wrong. The statement that states subversion is an abysmal regression is right.
|
It is reasonable to believe that calfs are body parts.
|
Calves are weaned at eight months, following which time they join groups of calves of their own age.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either [1] or [2].). [SC2-2]
If [4], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [8].
Not [8].
Therefore, Either [3] or [4]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then (Either [1] or [2].).).
If [7], then (If [3], then (Either [1] or [2].).).
Therefore, If [3], then (Either [1] or [2].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Either [1] or [2].).).), then [5].
Not [5]. [SC2-3]
Therefore, If [4], then (Either [1] or [2].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [5].). [SC2-4]
If [10], then (Not [5].).
Therefore, Not [5]..
[SC2-4]
Modus Ponens:
If [11], then (If [9], then (Not [5].).).
[11]
Therefore, If [9], then (Not [5].)..
|
{0: 'Calfs are body parts.', 1: 'Vanadium compounds can cause severe liver damage.', 2: 'Modern people have cro magnon brains.', 3: 'Accomplishment is an action.', 4: 'Macaques show behavior.', 5: "Plagiarism is the unacknowledged borrowing of another writer's words or ideas.", 6: 'Animals bring food.', 7: 'Computers can do many different jobs because they are programmable.', 8: 'Squeezes are lovers.', 9: 'Bereavement parents can and do survive.', 10: 'Free radicals oxidize fat.', 11: 'Subversion is an abysmal regression.'}
| 7 |
6,721 |
['Those that suggest antioxidants absorb free radicals in the body are wrong.', "So long as some people say that they are the 'most advanced' invertebrates, 'if it is a common misconception that petrels are birds, then antioxidants absorb free radicals in the body' is true.", 'It is a common misconception that rabbits are physically delicate animals and are a poor choice for a child under the age of five.', "If the claim that if we know that the claim that either some people say that they are the 'most advanced' invertebrates or if epidemics can occur where horses are congregated, then beavers create wetland habitats is false, then football has a pension fund does not reflect reality, then some breeds actually have a propensity for hearing loss.", 'It is not true that some breeds actually have a propensity for hearing loss.', 'Should it be the case that either courtship is an important ritual for culpeos, it takes place during the winter months or cadavers often have to be stockpiled for varying periods of time prior to their use, it follows that the claim that football has a pension fund does not reflect reality.', 'There is good reason to believe that either courtship is an important ritual for culpeos, it takes place during the winter months or cadavers often have to be stockpiled for varying periods of time prior to their use.', "So long as plovers have (part) corpi, 'if the statement that 'if if epidemics can occur where horses are congregated, then beavers create wetland habitats, then if it is a common misconception that petrels are birds, then antioxidants absorb free radicals in the body' is incorrect, then rabbits are physically delicate animals and are a poor choice for a child under the age of five' is true.", "The statement 'plovers have (part) corpi' can be considered true."]
|
Those that suggest antioxidants absorb free radicals in the body are wrong. So long as some people say that they are the 'most advanced' invertebrates, 'if it is a common misconception that petrels are birds, then antioxidants absorb free radicals in the body' is true. It is a common misconception that rabbits are physically delicate animals and are a poor choice for a child under the age of five. If the claim that if we know that the claim that either some people say that they are the 'most advanced' invertebrates or if epidemics can occur where horses are congregated, then beavers create wetland habitats is false, then football has a pension fund does not reflect reality, then some breeds actually have a propensity for hearing loss. It is not true that some breeds actually have a propensity for hearing loss. Should it be the case that either courtship is an important ritual for culpeos, it takes place during the winter months or cadavers often have to be stockpiled for varying periods of time prior to their use, it follows that the claim that football has a pension fund does not reflect reality. There is good reason to believe that either courtship is an important ritual for culpeos, it takes place during the winter months or cadavers often have to be stockpiled for varying periods of time prior to their use. So long as plovers have (part) corpi, 'if the statement that 'if if epidemics can occur where horses are congregated, then beavers create wetland habitats, then if it is a common misconception that petrels are birds, then antioxidants absorb free radicals in the body' is incorrect, then rabbits are physically delicate animals and are a poor choice for a child under the age of five' is true. The statement 'plovers have (part) corpi' can be considered true.
|
It is the case that petrels are birds.
|
It is a common misconception that petrels are birds.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-2]
If [2], then (If (Not [0].), then [1].).
If (If [3], then [4].), then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If [3], then [4].).).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [2] or (If [3], then [4].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [2] or (If [3], then [4].).).), then [5].).), then [10].
Not [10].
Therefore, If (Not (Either [2] or (If [3], then [4].).).), then [5]..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then (Not [5].).
Either [7] or [8].
Therefore, Not [5]..
[SC3-2]
Modus Tonens:
If (Not (If (If [3], then [4].), then (If (Not [0].), then [1].).).), then [6]. [SC1-3]
Not [6].
Therefore, If (If [3], then [4].), then (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If [9], then (If (Not (If (If [3], then [4].), then (If (Not [0].), then [1].).).), then [6].).
[9]
Therefore, If (Not (If (If [3], then [4].), then (If (Not [0].), then [1].).).), then [6]..
|
{0: 'Petrels are birds.', 1: 'Antioxidants absorb free radicals in the body.', 2: "Some people say that they are the 'most advanced' invertebrates.", 3: 'Epidemics can occur where horses are congregated.', 4: 'Beavers create wetland habitats.', 5: 'Football has a pension fund.', 6: 'Rabbits are physically delicate animals and are a poor choice for a child under the age of five.', 7: 'Courtship is an important ritual for culpeos, it takes place during the winter months.', 8: 'Cadavers often have to be stockpiled for varying periods of time prior to their use.', 9: 'Plovers have (part) corpi.', 10: 'Some breeds actually have a propensity for hearing loss.'}
| 7 |
6,858 |
["At least one of two things is true: cold symptoms are probably the result of the body's immune response to the viral invasion, or if the claim that cinnamon is part of cinnamon has no merit, then revolutions turning on themselves and leading to more tyranny are far more common in history.", "The statement, cold symptoms are probably the result of the body's immune response to the viral invasion, does not hold.", 'Provided that it is a common misconception that if the claim that cinnamon is part of cinnamon has no merit, then it is not the case that revolutions turning on themselves and leading to more tyranny are far more common in history, we know that if death is an evil that produces torment, fear, hatred, suffering, agony, pain, grief and heartache, then fats produce the least amount of carbon dioxide along with proteins.', 'It is not the case that muscular system is made up of all the muscles attached to bones.', 'Provided that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs, we know that either muscular system is made up of all the muscles attached to bones or the claim that if death is an evil that produces torment, fear, hatred, suffering, agony, pain, grief and heartache, then fats produce the least amount of carbon dioxide along with proteins is false.', 'It is a common misconception that cool air can hold less moisture than warm air.', 'If it is not the case that if we know that the claim that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs is false, then cool air can hold less moisture than warm air, then toxic chemicals are only a single factor within the water-chemistry component.', 'When it is not the case that if we know that the claim that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs is false, then cool air can hold less moisture than warm air is true, it follows that the claim that toxic chemicals are only a single factor within the water-chemistry component does not reflect reality.']
|
At least one of two things is true: cold symptoms are probably the result of the body's immune response to the viral invasion, or if the claim that cinnamon is part of cinnamon has no merit, then revolutions turning on themselves and leading to more tyranny are far more common in history. The statement, cold symptoms are probably the result of the body's immune response to the viral invasion, does not hold. Provided that it is a common misconception that if the claim that cinnamon is part of cinnamon has no merit, then it is not the case that revolutions turning on themselves and leading to more tyranny are far more common in history, we know that if death is an evil that produces torment, fear, hatred, suffering, agony, pain, grief and heartache, then fats produce the least amount of carbon dioxide along with proteins. It is not the case that muscular system is made up of all the muscles attached to bones. Provided that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs, we know that either muscular system is made up of all the muscles attached to bones or the claim that if death is an evil that produces torment, fear, hatred, suffering, agony, pain, grief and heartache, then fats produce the least amount of carbon dioxide along with proteins is false. It is a common misconception that cool air can hold less moisture than warm air. If it is not the case that if we know that the claim that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs is false, then cool air can hold less moisture than warm air, then toxic chemicals are only a single factor within the water-chemistry component. When it is not the case that if we know that the claim that either acrylics are basically water-based paints or faberge eggs are probably the most widely-recognized ornamental eggs is false, then cool air can hold less moisture than warm air is true, it follows that the claim that toxic chemicals are only a single factor within the water-chemistry component does not reflect reality.
|
The claim that cinnamon is part of cinnamon holds true.
|
Cinnamon is located in kitchens.
|
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 [4] or (If (Not [0].), then [1].).
Not [4].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not (If [2], then [3].).). [SC1-3]
Not [5].
Therefore, Not (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If (Either [6] or [7].), then (Either [5] or (Not (If [2], then [3].).).).
Either [6] or [7]. [SC2-4]
Therefore, Either [5] or (Not (If [2], then [3].).)..
[SC2-4]
Modus Tonens:
If (Not (Either [6] or [7].).), then [8]. [SC1-5]
Not [8].
Therefore, Either [6] or [7]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Not (Either [6] or [7].).), then [8].).), then [9].
If (Not (If (Not (Either [6] or [7].).), then [8].).), then (Not [9].).
Therefore, If (Not (Either [6] or [7].).), then [8]..
|
{0: 'Cinnamon is part of cinnamon.', 1: 'Revolutions turning on themselves and leading to more tyranny are far more common in history.', 2: 'Death is an evil that produces torment, fear, hatred, suffering, agony, pain, grief and heartache.', 3: 'Fats produce the least amount of carbon dioxide along with proteins.', 4: "Cold symptoms are probably the result of the body's immune response to the viral invasion.", 5: 'Muscular system is made up of all the muscles attached to bones.', 6: 'Acrylics are basically water-based paints.', 7: 'Faberge eggs are probably the most widely-recognized ornamental eggs.', 8: 'Cool air can hold less moisture than warm air.', 9: 'Toxic chemicals are only a single factor within the water-chemistry component.'}
| 7 |
6,691 |
['One may reasonably assume that if male cardinals have bright red feathers, but females have duller orange-brown feathers, then if most pressure drives movement, then daughter cells are cells.', "Whenever it is true that the claim that male cardinals have bright red feathers, but females have duller orange-brown feathers is false, 'plants vary in susceptibility to pathogens' is true.", "On the condition that the statement that 'if plants vary in susceptibility to pathogens, then essential oil is the heart, or essence, of a plant' is incorrect, it is definitely the case that modern society relies heavily on the convenience and versatility of electricity.", "Once we know the statement that 'if plants vary in susceptibility to pathogens, then essential oil is the heart, or essence, of a plant' is incorrect, we also know that it is not the case that modern society relies heavily on the convenience and versatility of electricity.", "The statement 'futurists discuss the possibilities of sports on the moon and in orbital stations' can be considered false.", 'Given that air currents speed up drying by moving the surrounding moist air away from the food, it can be inferred that either futurists discuss the possibilities of sports on the moon and in orbital stations or if plants vary in susceptibility to pathogens, then the claim that essential oil is the heart, or essence, of a plant does not reflect reality.', "Whenever it is true that the statement that 'air currents speed up drying by moving the surrounding moist air away from the food' is incorrect, 'communications are key to relationships in organisations, and gossip is a natural human impulse' is true.", 'It is not true that communications are key to relationships in organisations, and gossip is a natural human impulse.']
|
One may reasonably assume that if male cardinals have bright red feathers, but females have duller orange-brown feathers, then if most pressure drives movement, then daughter cells are cells. Whenever it is true that the claim that male cardinals have bright red feathers, but females have duller orange-brown feathers is false, 'plants vary in susceptibility to pathogens' is true. On the condition that the statement that 'if plants vary in susceptibility to pathogens, then essential oil is the heart, or essence, of a plant' is incorrect, it is definitely the case that modern society relies heavily on the convenience and versatility of electricity. Once we know the statement that 'if plants vary in susceptibility to pathogens, then essential oil is the heart, or essence, of a plant' is incorrect, we also know that it is not the case that modern society relies heavily on the convenience and versatility of electricity. The statement 'futurists discuss the possibilities of sports on the moon and in orbital stations' can be considered false. Given that air currents speed up drying by moving the surrounding moist air away from the food, it can be inferred that either futurists discuss the possibilities of sports on the moon and in orbital stations or if plants vary in susceptibility to pathogens, then the claim that essential oil is the heart, or essence, of a plant does not reflect reality. Whenever it is true that the statement that 'air currents speed up drying by moving the surrounding moist air away from the food' is incorrect, 'communications are key to relationships in organisations, and gossip is a natural human impulse' is true. It is not true that communications are key to relationships in organisations, and gossip is a natural human impulse.
|
Once we know most pressure drives movement, we also know that daughter cells are cells.
|
The statement that states if most pressure drives movement, then daughter cells are cells is false.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].).
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not [2].), then [3].
Not [3]. [SC2-2]
Therefore, [2].
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-3]
If [3], then (Not [4].). [SC2-3]
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [4].).), then [5].
If (Not (If [3], then [4].).), then (Not [5].).
Therefore, If [3], then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [3], then (Not [4].).). [SC1-4]
Not [6].
Therefore, If [3], then (Not [4].)..
[SC1-4]
Modus Ponens:
If [7], then (Either [6] or (If [3], then (Not [4].).).).
[7] [SC2-5]
Therefore, Either [6] or (If [3], then (Not [4].).)..
[SC2-5]
Modus Tonens:
If (Not [7].), then [8].
Not [8].
Therefore, [7].
|
{0: 'Most pressure drives movement.', 1: 'Daughter cells are cells.', 2: 'Male cardinals have bright red feathers, but females have duller orange-brown feathers.', 3: 'Plants vary in susceptibility to pathogens.', 4: 'Essential oil is the heart, or essence, of a plant.', 5: 'Modern society relies heavily on the convenience and versatility of electricity.', 6: 'Futurists discuss the possibilities of sports on the moon and in orbital stations.', 7: 'Air currents speed up drying by moving the surrounding moist air away from the food.', 8: 'Communications are key to relationships in organisations, and gossip is a natural human impulse.'}
| 7 |
6,104 |
["One may reasonably assume that if the statement that 'if either some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil or premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy, then books are located in houses' is incorrect, then if some agricultural nutrients cause pollution problems, then arthropods have size limitations.", "Once we know the statement that 'if either some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil or premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy, then books are located in houses' is incorrect, we also know that the notion that 'if some agricultural nutrients cause pollution problems, then arthropods have size limitations' is untrue.", "Whenever it is true that flame wars are to be avoided as they congest the Internet and can upset people, 'premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy' is true.", "Assuming the statement that 'either balance is important in life and in sports or flame wars are to be avoided as they congest the Internet and can upset people' is incorrect, we know that if older people find it more difficult to tell when they are becoming chilled or overheated, then neural synchrony correlates with surface segregration rules.", 'We know that the claim that if older people find it more difficult to tell when they are becoming chilled or overheated, then neural synchrony correlates with surface segregration rules is false.', 'We know that at least one of two things is true: most compost absorbs water, or if balance is important in life and in sports, then some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil.', "Whenever it is true that most compost absorbs water, 'either immigrant policy focuses on what to do about the effects of immigration upon our society or predation plays key roles' is true.", 'We know that either yeast is only one leavening agent that can be used in making breads or we know that the claim that either immigrant policy focuses on what to do about the effects of immigration upon our society or predation plays key roles is false.', 'The statement that states yeast is only one leavening agent that can be used in making breads is false.']
|
One may reasonably assume that if the statement that 'if either some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil or premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy, then books are located in houses' is incorrect, then if some agricultural nutrients cause pollution problems, then arthropods have size limitations. Once we know the statement that 'if either some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil or premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy, then books are located in houses' is incorrect, we also know that the notion that 'if some agricultural nutrients cause pollution problems, then arthropods have size limitations' is untrue. Whenever it is true that flame wars are to be avoided as they congest the Internet and can upset people, 'premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy' is true. Assuming the statement that 'either balance is important in life and in sports or flame wars are to be avoided as they congest the Internet and can upset people' is incorrect, we know that if older people find it more difficult to tell when they are becoming chilled or overheated, then neural synchrony correlates with surface segregration rules. We know that the claim that if older people find it more difficult to tell when they are becoming chilled or overheated, then neural synchrony correlates with surface segregration rules is false. We know that at least one of two things is true: most compost absorbs water, or if balance is important in life and in sports, then some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil. Whenever it is true that most compost absorbs water, 'either immigrant policy focuses on what to do about the effects of immigration upon our society or predation plays key roles' is true. We know that either yeast is only one leavening agent that can be used in making breads or we know that the claim that either immigrant policy focuses on what to do about the effects of immigration upon our society or predation plays key roles is false. The statement that states yeast is only one leavening agent that can be used in making breads is false.
|
The statement 'books are located in houses' can be considered true.
|
The statement, books are located in houses, does not hold.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then (If [3], then [4].).
If (Not (If (Either [1] or [2].), then [0].).), then (Not (If [3], then [4].).).
Therefore, If (Either [1] or [2].), then [0]..
[SC2-1]
Constructive Dilemma:
Either [5] or [6]. [SC1-2]
If [5], then [1]. [SC2-2]
If [6], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or [6].).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, Either [5] or [6]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [5], then [1].).
Not [7]. [SC2-3]
Therefore, If [5], then [1]..
[SC2-3]
Modus Tonens:
If [7], then (Either [10] or [11].).
Not (Either [10] or [11].). [SC2-4]
Therefore, Not [7]..
[SC2-4]
Disjunctive Syllogism:
Either [12] or (Not (Either [10] or [11].).).
Not [12].
Therefore, Not (Either [10] or [11].)..
|
{0: 'Books are located in houses.', 1: 'Some plants produce both parasitic roots and ordinary roots for absorp- tion of water from the soil.', 2: 'Premature labor is very common in pneumonia and influenza, being more frequent in late pregnancy.', 3: 'Some agricultural nutrients cause pollution problems.', 4: 'Arthropods have size limitations.', 5: 'Balance is important in life and in sports.', 6: 'Flame wars are to be avoided as they congest the Internet and can upset people.', 7: 'Most compost absorbs water.', 8: 'Older people find it more difficult to tell when they are becoming chilled or overheated.', 9: 'Neural synchrony correlates with surface segregration rules.', 10: 'Immigrant policy focuses on what to do about the effects of immigration upon our society.', 11: 'Predation plays key roles.', 12: 'Yeast is only one leavening agent that can be used in making breads.'}
| 7 |
6,303 |
["Whenever it is true that either hard drives wear out over time, they draw lots of power and get very hot or small dust particles suspend in air, 'needles are located in beachs' is true.", "So long as needles are located in beachs, 'spores usually develop thick walls with more than one layer and can function as propagules' is true.", "Provided that the claim that either vocabulary is cognition or castors are mountains is false, we know that the statement that 'if cacti live for years, then healthy adulthoods start with healthy childhoods' is incorrect.", 'Assuming the claim that if vocabulary is cognition, then hard drives wear out over time, they draw lots of power and get very hot does not correspond with reality, we know that camels have two rows of thick eyelashes to protect their eyes from the desert dust.', 'The statement, camels have two rows of thick eyelashes to protect their eyes from the desert dust, does not hold.', 'If castors are mountains, then birds are capable of hatchs.', 'When birds are capable of hatchs is true, it follows that small dust particles suspend in air.', 'Either one or both of these statements are true: grace is also that by which Bible doctrine is illuminated, or insurance companies profit from underwriting risks - and marketing to the healthy.', 'Provided that grace is also that by which Bible doctrine is illuminated, we know that if the claim that either vocabulary is cognition or castors are mountains is false, then if cacti live for years, then healthy adulthoods start with healthy childhoods.', "Whenever it is true that insurance companies profit from underwriting risks - and marketing to the healthy, 'if the claim that either vocabulary is cognition or castors are mountains is false, then if cacti live for years, then healthy adulthoods start with healthy childhoods' is true."]
|
Whenever it is true that either hard drives wear out over time, they draw lots of power and get very hot or small dust particles suspend in air, 'needles are located in beachs' is true. So long as needles are located in beachs, 'spores usually develop thick walls with more than one layer and can function as propagules' is true. Provided that the claim that either vocabulary is cognition or castors are mountains is false, we know that the statement that 'if cacti live for years, then healthy adulthoods start with healthy childhoods' is incorrect. Assuming the claim that if vocabulary is cognition, then hard drives wear out over time, they draw lots of power and get very hot does not correspond with reality, we know that camels have two rows of thick eyelashes to protect their eyes from the desert dust. The statement, camels have two rows of thick eyelashes to protect their eyes from the desert dust, does not hold. If castors are mountains, then birds are capable of hatchs. When birds are capable of hatchs is true, it follows that small dust particles suspend in air. Either one or both of these statements are true: grace is also that by which Bible doctrine is illuminated, or insurance companies profit from underwriting risks - and marketing to the healthy. Provided that grace is also that by which Bible doctrine is illuminated, we know that if the claim that either vocabulary is cognition or castors are mountains is false, then if cacti live for years, then healthy adulthoods start with healthy childhoods. Whenever it is true that insurance companies profit from underwriting risks - and marketing to the healthy, 'if the claim that either vocabulary is cognition or castors are mountains is false, then if cacti live for years, then healthy adulthoods start with healthy childhoods' is true.
|
We can assume that spores usually develop thick walls with more than one layer and can function as propagules.
|
The claim that spores usually develop thick walls with more than one layer and can function as propagules has no merit.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Either [1] or [2].), then [3].
If [3], then [0].
Therefore, If (Either [1] or [2].), then [0]..
[SC2-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1]. [SC2-2]
If [5], then [2]. [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (If [7], then [8].). [SC1-3]
If (Not (Either [4] or [5].).), then (Not (If [7], then [8].).).
Therefore, Either [4] or [5]..
[SC1-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Not (Either [4] or [5].).), then (If [7], then [8].).).
If [11], then (If (Not (Either [4] or [5].).), then (If [7], then [8].).).
Therefore, If (Not (Either [4] or [5].).), then (If [7], then [8].)..
[SC2-2]
Modus Tonens:
If (Not (If [4], then [1].).), then [9].
Not [9].
Therefore, If [4], then [1]..
[SC3-2]
Hypothetical Syllogism:
If [5], then [6].
If [6], then [2].
Therefore, If [5], then [2]..
|
{0: 'Spores usually develop thick walls with more than one layer and can function as propagules.', 1: 'Hard drives wear out over time, they draw lots of power and get very hot.', 2: 'Small dust particles suspend in air.', 3: 'Needles are located in beachs.', 4: 'Vocabulary is cognition.', 5: 'Castors are mountains.', 6: 'Birds are capable of hatchs.', 7: 'Cacti live for years.', 8: 'Healthy adulthoods start with healthy childhoods.', 9: 'Camels have two rows of thick eyelashes to protect their eyes from the desert dust.', 10: 'Grace is also that by which Bible doctrine is illuminated.', 11: 'Insurance companies profit from underwriting risks - and marketing to the healthy.'}
| 7 |
6,549 |
['It is a fact that either black powder is very fouling and subsequently very corrosive or food insecurity is an ever increasing problem affecting the working poor.', "So long as black powder is very fouling and subsequently very corrosive, 'road verges constitute major habitats for small rodents and insectivores' is true.", "The statement that 'an antipyretic is medicine' is incorrect.", 'Either one or both of these statements are true: either prokaryotes are either bacteria or archaea, most of which are the smallest of all organisms or floods are dangerous places to play, or some people have a high and others have a low emotional intelligence.', "When either prokaryotes are either bacteria or archaea, most of which are the smallest of all organisms or floods are dangerous places to play is true, it follows that if the statement 'if the statement, if food insecurity is an ever increasing problem affecting the working poor, then road verges constitute major habitats for small rodents and insectivores, does not hold, then an antipyretic is medicine' can be considered false, then if mountains reach right down to the sea, then females are located in beds.", "If some people have a high and others have a low emotional intelligence, then if the statement 'if the statement, if food insecurity is an ever increasing problem affecting the working poor, then road verges constitute major habitats for small rodents and insectivores, does not hold, then an antipyretic is medicine' can be considered false, then if mountains reach right down to the sea, then females are located in beds.", 'The statement that states laser treatment is popular for the treatment of oral cavity and airway lesions is right.', 'When either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs is true, it follows that we know that the claim that if mountains reach right down to the sea, then females are located in beds is false.', "Whenever it is true that the statement, if laser treatment is popular for the treatment of oral cavity and airway lesions, then either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs, does not hold, 'if molecule are microscopic, then wind can alter surface materials, especially in desert climates, both by erosion and by deposition' is true.", 'Given that the statement, if laser treatment is popular for the treatment of oral cavity and airway lesions, then either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs, does not hold, it can be inferred that the statement, if molecule are microscopic, then wind can alter surface materials, especially in desert climates, both by erosion and by deposition, does not hold.']
|
It is a fact that either black powder is very fouling and subsequently very corrosive or food insecurity is an ever increasing problem affecting the working poor. So long as black powder is very fouling and subsequently very corrosive, 'road verges constitute major habitats for small rodents and insectivores' is true. The statement that 'an antipyretic is medicine' is incorrect. Either one or both of these statements are true: either prokaryotes are either bacteria or archaea, most of which are the smallest of all organisms or floods are dangerous places to play, or some people have a high and others have a low emotional intelligence. When either prokaryotes are either bacteria or archaea, most of which are the smallest of all organisms or floods are dangerous places to play is true, it follows that if the statement 'if the statement, if food insecurity is an ever increasing problem affecting the working poor, then road verges constitute major habitats for small rodents and insectivores, does not hold, then an antipyretic is medicine' can be considered false, then if mountains reach right down to the sea, then females are located in beds. If some people have a high and others have a low emotional intelligence, then if the statement 'if the statement, if food insecurity is an ever increasing problem affecting the working poor, then road verges constitute major habitats for small rodents and insectivores, does not hold, then an antipyretic is medicine' can be considered false, then if mountains reach right down to the sea, then females are located in beds. The statement that states laser treatment is popular for the treatment of oral cavity and airway lesions is right. When either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs is true, it follows that we know that the claim that if mountains reach right down to the sea, then females are located in beds is false. Whenever it is true that the statement, if laser treatment is popular for the treatment of oral cavity and airway lesions, then either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs, does not hold, 'if molecule are microscopic, then wind can alter surface materials, especially in desert climates, both by erosion and by deposition' is true. Given that the statement, if laser treatment is popular for the treatment of oral cavity and airway lesions, then either acorns are a critical food source for Ozark black bears or wild daffodils grow from bulbs, does not hold, it can be inferred that the statement, if molecule are microscopic, then wind can alter surface materials, especially in desert climates, both by erosion and by deposition, does not hold.
|
The claim that road verges constitute major habitats for small rodents and insectivores is true.
|
The statement that 'road verges constitute major habitats for small rodents and insectivores' is incorrect.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3].
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then [3].).), then (If [4], then [5].). [SC1-3]
Not (If [4], then [5].). [SC2-3]
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If (Not (If (Not (If [2], then [0].).), then [3].).), then (If [4], then [5].).).
If [9], then (If (Not (If (Not (If [2], then [0].).), then [3].).), then (If [4], then [5].).).
Therefore, If (Not (If (Not (If [2], then [0].).), then [3].).), then (If [4], then [5].)..
[SC2-3]
Modus Ponens:
If [6], then (Not (If [4], then [5].).). [SC1-4]
[6]
Therefore, Not (If [4], then [5].)..
[SC1-4]
Hypothetical Syllogism:
If [6], then (Either [10] or [11].). [SC1-5]
If (Either [10] or [11].), then (Not (If [4], then [5].).).
Therefore, If [6], then (Not (If [4], then [5].).)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If [6], then (Either [10] or [11].).).), then (If [12], then [13].).
If (Not (If [6], then (Either [10] or [11].).).), then (Not (If [12], then [13].).).
Therefore, If [6], then (Either [10] or [11].)..
|
{0: 'Road verges constitute major habitats for small rodents and insectivores.', 1: 'Black powder is very fouling and subsequently very corrosive.', 2: 'Food insecurity is an ever increasing problem affecting the working poor.', 3: 'An antipyretic is medicine.', 4: 'Mountains reach right down to the sea.', 5: 'Females are located in beds.', 6: 'Laser treatment is popular for the treatment of oral cavity and airway lesions.', 7: 'Prokaryotes are either bacteria or archaea, most of which are the smallest of all organisms.', 8: 'Floods are dangerous places to play.', 9: 'Some people have a high and others have a low emotional intelligence.', 10: 'Acorns are a critical food source for Ozark black bears.', 11: 'Wild daffodils grow from bulbs.', 12: 'Molecule are microscopic.', 13: 'Wind can alter surface materials, especially in desert climates, both by erosion and by deposition.'}
| 7 |
6,729 |
['At least one of two things is true: onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, or it is a common misconception that atherosclerosis is the most common cause of coronary artery disease in lupus.', 'When either uncertainty is a big source of psychological stress or lists provide insight is true, it follows that rural areas lie close to cities, and the temperature varies from ices to torrid.', "So long as rural areas lie close to cities, and the temperature varies from ices to torrid, 'either atherosclerosis is the most common cause of coronary artery disease in lupus or factors include genetic predisposition' is true.", "Provided that the statement 'either uncertainty is a big source of psychological stress or lists provide insight' can be considered false, we know that if traits are character states, then oxidative damage is deleterious to cell function.", "On the condition that the statement 'either uncertainty is a big source of psychological stress or lists provide insight' can be considered false, it is definitely the case that the statement, if traits are character states, then oxidative damage is deleterious to cell function, does not hold.", 'The claim that robots are located in manufacturing plants is false.', 'When it is not true that if onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, then robots are located in manufacturing plants is true, it follows that some mice show tendencies.', "So long as it is not true that if onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, then robots are located in manufacturing plants, 'the claim that some mice show tendencies is false' is true."]
|
At least one of two things is true: onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, or it is a common misconception that atherosclerosis is the most common cause of coronary artery disease in lupus. When either uncertainty is a big source of psychological stress or lists provide insight is true, it follows that rural areas lie close to cities, and the temperature varies from ices to torrid. So long as rural areas lie close to cities, and the temperature varies from ices to torrid, 'either atherosclerosis is the most common cause of coronary artery disease in lupus or factors include genetic predisposition' is true. Provided that the statement 'either uncertainty is a big source of psychological stress or lists provide insight' can be considered false, we know that if traits are character states, then oxidative damage is deleterious to cell function. On the condition that the statement 'either uncertainty is a big source of psychological stress or lists provide insight' can be considered false, it is definitely the case that the statement, if traits are character states, then oxidative damage is deleterious to cell function, does not hold. The claim that robots are located in manufacturing plants is false. When it is not true that if onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, then robots are located in manufacturing plants is true, it follows that some mice show tendencies. So long as it is not true that if onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye, then robots are located in manufacturing plants, 'the claim that some mice show tendencies is false' is true.
|
We can assume that factors include genetic predisposition.
|
Some people mistakenly believe that factors include genetic predisposition.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (Either [1] or [0].). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [5].
If [5], then (Either [1] or [0].).
Therefore, If (Either [2] or [3].), then (Either [1] or [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (If [6], then [7].).
If (Not (Either [2] or [3].).), then (Not (If [6], then [7].).).
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If [4], then [8]. [SC1-3]
Not [8].
Therefore, Not [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then [8].).), then [9].
If (Not (If [4], then [8].).), then (Not [9].).
Therefore, If [4], then [8]..
|
{0: 'Factors include genetic predisposition.', 1: 'Atherosclerosis is the most common cause of coronary artery disease in lupus.', 2: 'Uncertainty is a big source of psychological stress.', 3: 'Lists provide insight.', 4: 'Onion skins produce yellow, walnut hulls produce brown, and pokeberries provide a purple dye.', 5: 'Rural areas lie close to cities, and the temperature varies from ices to torrid.', 6: 'Traits are character states.', 7: 'Oxidative damage is deleterious to cell function.', 8: 'Robots are located in manufacturing plants.', 9: 'Some mice show tendencies.'}
| 7 |
6,208 |
['If capital letters are usually easier for young children to learn first, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then mill Creek is a clear stream that is bordered by thick forest.', "If if a trekker is a traveler, then treehoppers live for months, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then the statement that 'mill Creek is a clear stream that is bordered by thick forest' is incorrect.", "One may reasonably assume that if the statement 'either capital letters are usually easier for young children to learn first or many proteins play active and vital roles in ensuring normal cell function' can be considered false, then tourism is the second largest source of currency in Mexico.", 'The claim that tourism is the second largest source of currency in Mexico does not reflect reality.', 'One may reasonably assume that if some people mistakenly believe that if many proteins play active and vital roles in ensuring normal cell function, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then mill Creek is a clear stream that is bordered by thick forest, then snakes hold their own tail in their mouth, form a coil and chase people.', 'The claim that snakes hold their own tail in their mouth, form a coil and chase people does not correspond with reality.', 'If folktales are alive and constantly changing, then either if a trekker is a traveler, then treehoppers live for months or anxiety is a common problem, but so is asthma.', 'It is rational to agree that folktales are alive and constantly changing.', "One may reasonably assume that if sleeping can involve dreaming, then if anxiety is a common problem, but so is asthma, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then the statement that 'mill Creek is a clear stream that is bordered by thick forest' is incorrect.", 'sleeping can involve dreaming.']
|
If capital letters are usually easier for young children to learn first, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then mill Creek is a clear stream that is bordered by thick forest. If if a trekker is a traveler, then treehoppers live for months, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then the statement that 'mill Creek is a clear stream that is bordered by thick forest' is incorrect. One may reasonably assume that if the statement 'either capital letters are usually easier for young children to learn first or many proteins play active and vital roles in ensuring normal cell function' can be considered false, then tourism is the second largest source of currency in Mexico. The claim that tourism is the second largest source of currency in Mexico does not reflect reality. One may reasonably assume that if some people mistakenly believe that if many proteins play active and vital roles in ensuring normal cell function, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then mill Creek is a clear stream that is bordered by thick forest, then snakes hold their own tail in their mouth, form a coil and chase people. The claim that snakes hold their own tail in their mouth, form a coil and chase people does not correspond with reality. If folktales are alive and constantly changing, then either if a trekker is a traveler, then treehoppers live for months or anxiety is a common problem, but so is asthma. It is rational to agree that folktales are alive and constantly changing. One may reasonably assume that if sleeping can involve dreaming, then if anxiety is a common problem, but so is asthma, then if it is not true that dysfunction has a psychological basis for some males and can contribute to well-being a, then the statement that 'mill Creek is a clear stream that is bordered by thick forest' is incorrect. sleeping can involve dreaming.
|
The statement 'dysfunction has a psychological basis for some males and can contribute to well-being a' can be considered true.
|
It is a common misconception that dysfunction has a psychological basis for some males and can contribute to well-being a.
|
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].).
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [7].
Not [7].
Therefore, Either [2] or [3]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (If (Not [0].), then [1].).).), then [9].
Not [9].
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-2]
If (If [4], then [5].), then (If (Not [0].), then (Not [1].).).
If [6], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [10], then (Either (If [4], then [5].) or [6].).
[10]
Therefore, Either (If [4], then [5].) or [6]..
[SC3-2]
Modus Ponens:
If [8], then (If [6], then (If (Not [0].), then (Not [1].).).).
[8]
Therefore, If [6], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Dysfunction has a psychological basis for some males and can contribute to well-being a.', 1: 'Mill Creek is a clear stream that is bordered by thick forest.', 2: 'Capital letters are usually easier for young children to learn first.', 3: 'Many proteins play active and vital roles in ensuring normal cell function.', 4: 'A trekker is a traveler.', 5: 'Treehoppers live for months.', 6: 'Anxiety is a common problem, but so is asthma.', 7: 'Tourism is the second largest source of currency in Mexico.', 8: 'Sleeping can involve dreaming.', 9: 'Snakes hold their own tail in their mouth, form a coil and chase people.', 10: 'Folktales are alive and constantly changing.'}
| 7 |
6,302 |
['Either one or both of these statements are true: age appears to be a major factor in public opinion of nudity and sexual content in movies, or either large mass absorbs heat or gills are therefore very efficient at absorbing oxygen from water.', 'Assuming age appears to be a major factor in public opinion of nudity and sexual content in movies, we know that either if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants or if martens have (part) sections, then mountains are highlands.', 'Assuming either large mass absorbs heat or gills are therefore very efficient at absorbing oxygen from water, we know that either if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants or if martens have (part) sections, then mountains are highlands.', 'On the condition that counters are registers, it is definitely the case that a duckpin is a pin.', 'If if counters are registers, then a duckpin is a pin, then centrism is a peculiarism, then, with a fluid identity.', 'We know that either draws are objects or philosophical problems occur in contexts.', 'Should it be the case that draws are objects, it follows that if centrism is a peculiarism, then, with a fluid identity, then the claim that if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants does not reflect reality.', 'If the statement that states if philosophical problems occur in contexts, then if centrism is a peculiarism, then, with a fluid identity, then the claim that if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants does not reflect reality is false, then beetles kill plants.', 'We know that either water is the key element in dissolving and transporting reactants and products or some people mistakenly believe that beetles kill plants.', 'The statement that states water is the key element in dissolving and transporting reactants and products is false.']
|
Either one or both of these statements are true: age appears to be a major factor in public opinion of nudity and sexual content in movies, or either large mass absorbs heat or gills are therefore very efficient at absorbing oxygen from water. Assuming age appears to be a major factor in public opinion of nudity and sexual content in movies, we know that either if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants or if martens have (part) sections, then mountains are highlands. Assuming either large mass absorbs heat or gills are therefore very efficient at absorbing oxygen from water, we know that either if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants or if martens have (part) sections, then mountains are highlands. On the condition that counters are registers, it is definitely the case that a duckpin is a pin. If if counters are registers, then a duckpin is a pin, then centrism is a peculiarism, then, with a fluid identity. We know that either draws are objects or philosophical problems occur in contexts. Should it be the case that draws are objects, it follows that if centrism is a peculiarism, then, with a fluid identity, then the claim that if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants does not reflect reality. If the statement that states if philosophical problems occur in contexts, then if centrism is a peculiarism, then, with a fluid identity, then the claim that if art is symbolic communication practiced by humans using icons, then healthy women are critical to the survival and welfare of infants does not reflect reality is false, then beetles kill plants. We know that either water is the key element in dissolving and transporting reactants and products or some people mistakenly believe that beetles kill plants. The statement that states water is the key element in dissolving and transporting reactants and products is false.
|
Provided that martens have (part) sections, we know that mountains are highlands
|
On the condition that martens are common in forests and visitors can see coyotes in all habitats, it is definitely the case that mountains are highlands.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [0], then [1].). [SC1-1]
Not (If [2], then [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Either (If [2], then [3].) or (If [0], then [1].).).
If (Either [5] or [6].), then (Either (If [2], then [3].) or (If [0], then [1].).).
Therefore, Either (If [2], then [3].) or (If [0], then [1].)..
[SC2-1]
Modus Ponens:
If (If [7], then [8].), then (Not (If [2], then [3].).). [SC1-2]
If [7], then [8].
Therefore, Not (If [2], then [3].)..
[SC1-2]
Hypothetical Syllogism:
If (If [7], then [8].), then [9].
If [9], then (Not (If [2], then [3].).). [SC2-3]
Therefore, If (If [7], then [8].), then (Not (If [2], then [3].).)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [9], then (Not (If [2], then [3].).).).
If [11], then (If [9], then (Not (If [2], then [3].).).). [SC3-4]
Therefore, If [9], then (Not (If [2], then [3].).)..
[SC3-4]
Modus Tonens:
If (Not (If [11], then (If [9], then (Not (If [2], then [3].).).).).), then [12].
Not [12]. [SC2-5]
Therefore, If [11], then (If [9], then (Not (If [2], then [3].).).)..
[SC2-5]
Disjunctive Syllogism:
Either [13] or (Not [12].).
Not [13].
Therefore, Not [12]..
|
{0: 'Martens have (part) sections.', 1: 'Mountains are highlands.', 2: 'Art is symbolic communication practiced by humans using icons.', 3: 'Healthy women are critical to the survival and welfare of infants.', 4: 'Age appears to be a major factor in public opinion of nudity and sexual content in movies.', 5: 'Large mass absorbs heat.', 6: 'Gills are therefore very efficient at absorbing oxygen from water.', 7: 'Counters are registers.', 8: 'A duckpin is a pin.', 9: 'Centrism is a peculiarism, then, with a fluid identity.', 10: 'Draws are objects.', 11: 'Philosophical problems occur in contexts.', 12: 'Beetles kill plants.', 13: 'Water is the key element in dissolving and transporting reactants and products.'}
| 7 |
6,051 |
['Assuming international laws exist for the conduct of games, we know that runners is another type of asexual reproduction.', 'Either drones are fertile male honey bees or either large T is a DNA binding protein that oligomerizes using a zinc finger or machines are used for dumps.', 'Provided that drones are fertile male honey bees, we know that international laws exist for the conduct of games.', 'When either large T is a DNA binding protein that oligomerizes using a zinc finger or machines are used for dumps is true, it follows that proteins are also common sources of human allergies.', "On the condition that the notion that 'if proteins are also common sources of human allergies, then some people mistakenly think they are allergic to narcotics if the narcotic causes nausea' is untrue, it is definitely the case that supernatural power has performance.", 'The statement, supernatural power has performance, does not hold.', 'If genetics plays secondary roles, then if most pets eat high quality food, then those that suggest runners is another type of asexual reproduction are wrong.', 'We can assume that genetics plays secondary roles.', 'On the condition that the claim that most pets eat high quality food does not correspond with reality, it is definitely the case that some fire affects koalas.', 'Provided that the claim that most pets eat high quality food does not correspond with reality, we know that the statement that states some fire affects koalas is false.']
|
Assuming international laws exist for the conduct of games, we know that runners is another type of asexual reproduction. Either drones are fertile male honey bees or either large T is a DNA binding protein that oligomerizes using a zinc finger or machines are used for dumps. Provided that drones are fertile male honey bees, we know that international laws exist for the conduct of games. When either large T is a DNA binding protein that oligomerizes using a zinc finger or machines are used for dumps is true, it follows that proteins are also common sources of human allergies. On the condition that the notion that 'if proteins are also common sources of human allergies, then some people mistakenly think they are allergic to narcotics if the narcotic causes nausea' is untrue, it is definitely the case that supernatural power has performance. The statement, supernatural power has performance, does not hold. If genetics plays secondary roles, then if most pets eat high quality food, then those that suggest runners is another type of asexual reproduction are wrong. We can assume that genetics plays secondary roles. On the condition that the claim that most pets eat high quality food does not correspond with reality, it is definitely the case that some fire affects koalas. Provided that the claim that most pets eat high quality food does not correspond with reality, we know that the statement that states some fire affects koalas is false.
|
It is reasonable to believe that some people mistakenly think they are allergic to narcotics if the narcotic causes nausea.
|
It is reasonable to believe that some people mistakenly think they are allergic to narcotics if the narcotic causes nausea.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Constructive Dilemma:
Either [6] or (Either [7] or [8].).
If [6], then [2].
If (Either [7] or [8].), then [3].
Therefore, Either [2] or [3]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then [0].).), then [9].
Not [9].
Therefore, If [3], then [0]..
[SC2-1]
Modus Ponens:
If [4], then (Not [1].). [SC1-2]
[4] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [4], then (Not [1].).).
[5]
Therefore, If [4], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [10].
If (Not [4].), then (Not [10].).
Therefore, [4].
|
{0: 'Some people mistakenly think they are allergic to narcotics if the narcotic causes nausea.', 1: 'Runners is another type of asexual reproduction.', 2: 'International laws exist for the conduct of games.', 3: 'Proteins are also common sources of human allergies.', 4: 'Most pets eat high quality food.', 5: 'Genetics plays secondary roles.', 6: 'Drones are fertile male honey bees.', 7: 'Large T is a DNA binding protein that oligomerizes using a zinc finger.', 8: 'Machines are used for dumps.', 9: 'Supernatural power has performance.', 10: 'Some fire affects koalas.'}
| 7 |
6,090 |
['We know that either bulbs conduct electricity or institutions are slow to change because change scares individuals.', 'Assuming bulbs conduct electricity, we know that growlers are icebergs.', 'Provided that those that suggest if institutions are slow to change because change scares individuals, then basil plants receive light are wrong, we know that bacteria have a prokaryote cell type.', 'It is a common misconception that bacteria have a prokaryote cell type.', 'Those that suggest prolactin stimulates milk production are wrong.', "On the condition that the statement that states if growlers are icebergs, then some humans have distinct structures is false, it is definitely the case that if technology changes quickly in today's world, then emotions are the real fuel source behind power struggles.", "Should it be the case that if technology changes quickly in today's world, then emotions are the real fuel source behind power struggles, it follows that transactions create values.", 'Assuming a bolster is a pillow, we know that if transactions create values, then prolactin stimulates milk production.', 'We can assume that a bolster is a pillow.']
|
We know that either bulbs conduct electricity or institutions are slow to change because change scares individuals. Assuming bulbs conduct electricity, we know that growlers are icebergs. Provided that those that suggest if institutions are slow to change because change scares individuals, then basil plants receive light are wrong, we know that bacteria have a prokaryote cell type. It is a common misconception that bacteria have a prokaryote cell type. Those that suggest prolactin stimulates milk production are wrong. On the condition that the statement that states if growlers are icebergs, then some humans have distinct structures is false, it is definitely the case that if technology changes quickly in today's world, then emotions are the real fuel source behind power struggles. Should it be the case that if technology changes quickly in today's world, then emotions are the real fuel source behind power struggles, it follows that transactions create values. Assuming a bolster is a pillow, we know that if transactions create values, then prolactin stimulates milk production. We can assume that a bolster is a pillow.
|
It is a fact that either some humans have distinct structures or basil plants receive light.
|
Some people mistakenly believe that either some humans have distinct structures or basil plants receive light.
|
FALSE
|
Constructive Dilemma:
Either [2] or [3].
If [2], then [0]. [SC2-1]
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If [4], then [0].).), then [6]. [SC1-3]
Not [6].
Therefore, If [4], then [0]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [4], then [0].).), then [7]. [SC1-4]
If [7], then [6]. [SC2-4]
Therefore, If (Not (If [4], then [0].).), then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [4], then [0].).), then (If [9], then [10].).
If (If [9], then [10].), then [7].
Therefore, If (Not (If [4], then [0].).), then [7]..
[SC2-4]
Modus Ponens:
If [8], then (If [7], then [6].).
[8]
Therefore, If [7], then [6]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [1].).), then [5].
Not [5].
Therefore, If [3], then [1]..
|
{0: 'Some humans have distinct structures.', 1: 'Basil plants receive light.', 2: 'Bulbs conduct electricity.', 3: 'Institutions are slow to change because change scares individuals.', 4: 'Growlers are icebergs.', 5: 'Bacteria have a prokaryote cell type.', 6: 'Prolactin stimulates milk production.', 7: 'Transactions create values.', 8: 'A bolster is a pillow.', 9: "Technology changes quickly in today's world.", 10: 'Emotions are the real fuel source behind power struggles.'}
| 7 |
6,354 |
['When it is not true that either some echidnas have fur or high cholesterol is treatable through diet, exercise, and medication is true, it follows that freshwater fish have highly efficient kidneys to excrete lots of water and little salt.', 'When it is not true that either some echidnas have fur or high cholesterol is treatable through diet, exercise, and medication is true, it follows that the claim that freshwater fish have highly efficient kidneys to excrete lots of water and little salt does not correspond with reality.', "Whenever it is true that many plants produce flowers, 'if some echidnas have fur, then merchant accounts are the retailers side of the credit card business' is true.", 'At least one of two things is true: most blood tests reveal liver problems, or longitude is the coordinate affected by time errors.', 'Given that most blood tests reveal liver problems, it can be inferred that if high cholesterol is treatable through diet, exercise, and medication, then merchant accounts are the retailers side of the credit card business.', 'There is good reason to believe that either leptospirosis is a well-documented laboratory hazard or history is a term that includes a massive amount of material.', 'On the condition that leptospirosis is a well-documented laboratory hazard, it is definitely the case that either many plants produce flowers or some energy goes into water.', 'When history is a term that includes a massive amount of material is true, it follows that either many plants produce flowers or some energy goes into water.', 'On the condition that it is not true that if some energy goes into water, then if some echidnas have fur, then merchant accounts are the retailers side of the credit card business, it is definitely the case that most pleural effusions associated with lung cancer are due to tumour.', 'Provided that it is not true that if some energy goes into water, then if some echidnas have fur, then merchant accounts are the retailers side of the credit card business, we know that those that suggest most pleural effusions associated with lung cancer are due to tumour are wrong.', "Whenever it is true that the claim that if longitude is the coordinate affected by time errors, then if high cholesterol is treatable through diet, exercise, and medication, then merchant accounts are the retailers side of the credit card business has no merit, 'blood flow increases to the brain and major muscles' is true.", "The statement 'blood flow increases to the brain and major muscles' can be considered false."]
|
When it is not true that either some echidnas have fur or high cholesterol is treatable through diet, exercise, and medication is true, it follows that freshwater fish have highly efficient kidneys to excrete lots of water and little salt. When it is not true that either some echidnas have fur or high cholesterol is treatable through diet, exercise, and medication is true, it follows that the claim that freshwater fish have highly efficient kidneys to excrete lots of water and little salt does not correspond with reality. Whenever it is true that many plants produce flowers, 'if some echidnas have fur, then merchant accounts are the retailers side of the credit card business' is true. At least one of two things is true: most blood tests reveal liver problems, or longitude is the coordinate affected by time errors. Given that most blood tests reveal liver problems, it can be inferred that if high cholesterol is treatable through diet, exercise, and medication, then merchant accounts are the retailers side of the credit card business. There is good reason to believe that either leptospirosis is a well-documented laboratory hazard or history is a term that includes a massive amount of material. On the condition that leptospirosis is a well-documented laboratory hazard, it is definitely the case that either many plants produce flowers or some energy goes into water. When history is a term that includes a massive amount of material is true, it follows that either many plants produce flowers or some energy goes into water. On the condition that it is not true that if some energy goes into water, then if some echidnas have fur, then merchant accounts are the retailers side of the credit card business, it is definitely the case that most pleural effusions associated with lung cancer are due to tumour. Provided that it is not true that if some energy goes into water, then if some echidnas have fur, then merchant accounts are the retailers side of the credit card business, we know that those that suggest most pleural effusions associated with lung cancer are due to tumour are wrong. Whenever it is true that the claim that if longitude is the coordinate affected by time errors, then if high cholesterol is treatable through diet, exercise, and medication, then merchant accounts are the retailers side of the credit card business has no merit, 'blood flow increases to the brain and major muscles' is true. The statement 'blood flow increases to the brain and major muscles' can be considered false.
|
The statement 'merchant accounts are the retailers side of the credit card business' is true.
|
The claim that merchant accounts are the retailers side of the credit card business does not reflect reality.
|
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]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [5].
If (Not (Either [1] or [2].).), then (Not [5].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either [6] or [7]. [SC1-2]
If [6], then (If [1], then [0].).
If [7], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [6] or [7].).
If [10], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [7], then (If [1], then [0].).).), then [11].
If (Not (If [7], then (If [1], then [0].).).), then (Not [11].).
Therefore, If [7], then (If [1], then [0].)..
[SC3-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then [0].).
If [4], then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If [2], then [0].).).), then [8].
Not [8].
Therefore, If [4], then (If [2], then [0].)..
|
{0: 'Merchant accounts are the retailers side of the credit card business.', 1: 'Some echidnas have fur.', 2: 'High cholesterol is treatable through diet, exercise, and medication.', 3: 'Most blood tests reveal liver problems.', 4: 'Longitude is the coordinate affected by time errors.', 5: 'Freshwater fish have highly efficient kidneys to excrete lots of water and little salt.', 6: 'Many plants produce flowers.', 7: 'Some energy goes into water.', 8: 'Blood flow increases to the brain and major muscles.', 9: 'Leptospirosis is a well-documented laboratory hazard.', 10: 'History is a term that includes a massive amount of material.', 11: 'Most pleural effusions associated with lung cancer are due to tumour.'}
| 7 |
6,632 |
['Once we know dairy farmers use antibiotics and growth hormones, we also know that daffodils live a long time.', 'Once we know if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes, we also know that eggs are fertilized when the sperm and egg fuse together, and a zygote is formed.', 'Once we know if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes, we also know that we know that the claim that eggs are fertilized when the sperm and egg fuse together, and a zygote is formed is false.', 'Should it be the case that it is not the case that if love is physically different from friendship, then either if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes or if if dairy farmers use antibiotics and growth hormones, then daffodils live a long time, then the claim that physicians prescribe medication every day does not reflect reality, it follows that if gametophytes have (part) cells, then a cockatiel is a parrot.', 'It is not the case that if gametophytes have (part) cells, then a cockatiel is a parrot.', 'When every human being has desires is true, it follows that love is physically different from friendship.', 'Provided that batons are sticks, we know that love is physically different from friendship.', "Once we know the statement that states either every human being has desires or batons are sticks is false, we also know that accelerated erosion is more rapid than normal erosion and results primarily from man's activities.", "It is not the case that accelerated erosion is more rapid than normal erosion and results primarily from man's activities."]
|
Once we know dairy farmers use antibiotics and growth hormones, we also know that daffodils live a long time. Once we know if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes, we also know that eggs are fertilized when the sperm and egg fuse together, and a zygote is formed. Once we know if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes, we also know that we know that the claim that eggs are fertilized when the sperm and egg fuse together, and a zygote is formed is false. Should it be the case that it is not the case that if love is physically different from friendship, then either if saddlebacks vary their calls so that even individuals from different areas can be identified, then heterochromatic areas are confined exclusively to the X chromosomes or if if dairy farmers use antibiotics and growth hormones, then daffodils live a long time, then the claim that physicians prescribe medication every day does not reflect reality, it follows that if gametophytes have (part) cells, then a cockatiel is a parrot. It is not the case that if gametophytes have (part) cells, then a cockatiel is a parrot. When every human being has desires is true, it follows that love is physically different from friendship. Provided that batons are sticks, we know that love is physically different from friendship. Once we know the statement that states either every human being has desires or batons are sticks is false, we also know that accelerated erosion is more rapid than normal erosion and results primarily from man's activities. It is not the case that accelerated erosion is more rapid than normal erosion and results primarily from man's activities.
|
The claim that physicians prescribe medication every day does not reflect reality.
|
The claim that most physicians diagnose food allergies does not reflect reality.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (If [1], then [2].), then (Not [0].).). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (Either (If [3], then [4].) or (If (If [1], then [2].), then (Not [0].).).). [SC1-3]
[5] [SC2-3]
Therefore, Either (If [3], then [4].) or (If (If [1], then [2].), then (Not [0].).)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (Either (If [3], then [4].) or (If (If [1], then [2].), then (Not [0].).).).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [5], then (Either (If [3], then [4].) or (If (If [1], then [2].), then (Not [0].).).)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10]. [SC1-4]
If [9], then [5].
If [10], then [5].
Therefore, [5].
[SC1-4]
Modus Tonens:
If (Not (Either [9] or [10].).), then [11].
Not [11].
Therefore, Either [9] or [10]..
[SC2-2]
Reductio Ad Absurdum:
If (If [3], then [4].), then [6].
If (If [3], then [4].), then (Not [6].).
Therefore, Not (If [3], then [4].)..
|
{0: 'Physicians prescribe medication every day.', 1: 'Dairy farmers use antibiotics and growth hormones.', 2: 'Daffodils live a long time.', 3: 'Saddlebacks vary their calls so that even individuals from different areas can be identified.', 4: 'Heterochromatic areas are confined exclusively to the X chromosomes.', 5: 'Love is physically different from friendship.', 6: 'Eggs are fertilized when the sperm and egg fuse together, and a zygote is formed.', 7: 'Gametophytes have (part) cells.', 8: 'A cockatiel is a parrot.', 9: 'Every human being has desires.', 10: 'Batons are sticks.', 11: "Accelerated erosion is more rapid than normal erosion and results primarily from man's activities."}
| 7 |
6,460 |
['We know that at least one of two things is true: illegal aliens are people, or most rock hyraxes reach maturity.', 'If some animals acquire their food easily, such as rabbits, horses and elephants, then if illegal aliens are people, then electrons surround the nucleus in orbitals of various energies.', 'Those that suggest sundews grow from roots are wrong.', 'When it is a common misconception that if stereoscopic films can help localize intracranial fragments, then if most rock hyraxes reach maturity, then electrons surround the nucleus in orbitals of various energies is true, it follows that birds play a very important part in the natural control of insects and in the dispersal of seeds.', 'It is not true that birds play a very important part in the natural control of insects and in the dispersal of seeds.', "So long as those that suggest stereoscopic films can help localize intracranial fragments are wrong, 'some massage therapists sell health and massage-related products' is true.", 'Should it be the case that those that suggest stereoscopic films can help localize intracranial fragments are wrong, it follows that we know that the claim that some massage therapists sell health and massage-related products is false.', "Whenever it is true that wind energy is one of the most environmentally benign forms of energy development, 'if the claim that some animals acquire their food easily, such as rabbits, horses and elephants does not reflect reality, then sundews grow from roots' is true.", 'The claim that wind energy is one of the most environmentally benign forms of energy development holds true.']
|
We know that at least one of two things is true: illegal aliens are people, or most rock hyraxes reach maturity. If some animals acquire their food easily, such as rabbits, horses and elephants, then if illegal aliens are people, then electrons surround the nucleus in orbitals of various energies. Those that suggest sundews grow from roots are wrong. When it is a common misconception that if stereoscopic films can help localize intracranial fragments, then if most rock hyraxes reach maturity, then electrons surround the nucleus in orbitals of various energies is true, it follows that birds play a very important part in the natural control of insects and in the dispersal of seeds. It is not true that birds play a very important part in the natural control of insects and in the dispersal of seeds. So long as those that suggest stereoscopic films can help localize intracranial fragments are wrong, 'some massage therapists sell health and massage-related products' is true. Should it be the case that those that suggest stereoscopic films can help localize intracranial fragments are wrong, it follows that we know that the claim that some massage therapists sell health and massage-related products is false. Whenever it is true that wind energy is one of the most environmentally benign forms of energy development, 'if the claim that some animals acquire their food easily, such as rabbits, horses and elephants does not reflect reality, then sundews grow from roots' is true. The claim that wind energy is one of the most environmentally benign forms of energy development holds true.
|
The claim that electrons surround the nucleus in orbitals of various energies is true.
|
The claim that electrons surround the nucleus in orbitals of various energies is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].).
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not [4].), then [5]. [SC1-3]
Not [5].
Therefore, [4].
[SC1-3]
Modus Ponens:
If [8], then (If (Not [4].), then [5].).
[8]
Therefore, If (Not [4].), then [5]..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].). [SC1-2]
[3] [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (If [2], then [0].).).), then [6].
Not [6].
Therefore, If [3], then (If [2], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [7].
If (Not [3].), then (Not [7].).
Therefore, [3].
|
{0: 'Electrons surround the nucleus in orbitals of various energies.', 1: 'Illegal aliens are people.', 2: 'Most rock hyraxes reach maturity.', 3: 'Stereoscopic films can help localize intracranial fragments.', 4: 'Some animals acquire their food easily, such as rabbits, horses and elephants.', 5: 'Sundews grow from roots.', 6: 'Birds play a very important part in the natural control of insects and in the dispersal of seeds.', 7: 'Some massage therapists sell health and massage-related products.', 8: 'Wind energy is one of the most environmentally benign forms of energy development.'}
| 7 |
6,022 |
['Should it be the case that primates have brains, it follows that if work is the transfer of energy, then growth stocks are scarce in the Singapore market.', 'We know that at least one of two things is true: physical activity appears to decrease the initiation of cigarette smoking in adolescent girls, or if bassets are a breed that are hardy and brave, then primates have brains.', 'The claim that physical activity appears to decrease the initiation of cigarette smoking in adolescent girls is false.', 'We know that either acupuncture is compatible with virtually all modern medical techniques or if glands have short bodies, simple branched and coiled tubular glands, then poor diets affect development.', 'Given that acupuncture is compatible with virtually all modern medical techniques, it can be inferred that either social marketing is an idea attached to leadership and a passion for change or if bassets are a breed that are hardy and brave, then it is not the case that if work is the transfer of energy, then growth stocks are scarce in the Singapore market.', 'Provided that if glands have short bodies, simple branched and coiled tubular glands, then poor diets affect development, we know that either social marketing is an idea attached to leadership and a passion for change or if bassets are a breed that are hardy and brave, then it is not the case that if work is the transfer of energy, then growth stocks are scarce in the Singapore market.', 'It is a common misconception that grizzlies can be cinnamon, brown, blonde and black.', 'At least one of two things is true: ladybugs are also one of the most useful insects, or either grizzlies can be cinnamon, brown, blonde and black or it is not true that social marketing is an idea attached to leadership and a passion for change.', 'The claim that ladybugs are also one of the most useful insects does not reflect reality.']
|
Should it be the case that primates have brains, it follows that if work is the transfer of energy, then growth stocks are scarce in the Singapore market. We know that at least one of two things is true: physical activity appears to decrease the initiation of cigarette smoking in adolescent girls, or if bassets are a breed that are hardy and brave, then primates have brains. The claim that physical activity appears to decrease the initiation of cigarette smoking in adolescent girls is false. We know that either acupuncture is compatible with virtually all modern medical techniques or if glands have short bodies, simple branched and coiled tubular glands, then poor diets affect development. Given that acupuncture is compatible with virtually all modern medical techniques, it can be inferred that either social marketing is an idea attached to leadership and a passion for change or if bassets are a breed that are hardy and brave, then it is not the case that if work is the transfer of energy, then growth stocks are scarce in the Singapore market. Provided that if glands have short bodies, simple branched and coiled tubular glands, then poor diets affect development, we know that either social marketing is an idea attached to leadership and a passion for change or if bassets are a breed that are hardy and brave, then it is not the case that if work is the transfer of energy, then growth stocks are scarce in the Singapore market. It is a common misconception that grizzlies can be cinnamon, brown, blonde and black. At least one of two things is true: ladybugs are also one of the most useful insects, or either grizzlies can be cinnamon, brown, blonde and black or it is not true that social marketing is an idea attached to leadership and a passion for change. The claim that ladybugs are also one of the most useful insects does not reflect reality.
|
We know that the claim that bassets are a breed that are hardy and brave is false.
|
We know that the claim that bassets are a breed that are hardy and brave is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then (If [1], then [2].). [SC1-1]
If [0], then (Not (If [1], then [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [4]. [SC1-2]
If [4], then (If [1], then [2].).
Therefore, If [0], then (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If [0], then [4].).
Not [8].
Therefore, If [0], then [4]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [0], then (Not (If [1], then [2].).).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [0], then (Not (If [1], then [2].).)..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Either [3] or (If [0], then (Not (If [1], then [2].).).).).
If (If [6], then [7].), then (Either [3] or (If [0], then (Not (If [1], then [2].).).).).
Therefore, Either [3] or (If [0], then (Not (If [1], then [2].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (Not [3].). [SC1-3]
Not [9].
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (Either [9] or (Not [3].).).
Not [10].
Therefore, Either [9] or (Not [3].)..
|
{0: 'Bassets are a breed that are hardy and brave.', 1: 'Work is the transfer of energy.', 2: 'Growth stocks are scarce in the Singapore market.', 3: 'Social marketing is an idea attached to leadership and a passion for change.', 4: 'Primates have brains.', 5: 'Acupuncture is compatible with virtually all modern medical techniques.', 6: 'Glands have short bodies, simple branched and coiled tubular glands.', 7: 'Poor diets affect development.', 8: 'Physical activity appears to decrease the initiation of cigarette smoking in adolescent girls.', 9: 'Grizzlies can be cinnamon, brown, blonde and black.', 10: 'Ladybugs are also one of the most useful insects.'}
| 7 |
6,374 |
['Provided that marriage is about two people coming together to love and support each other, we know that fertilizers are available in commercial inorganic or organic forms.', "Should it be the case that marriage is about two people coming together to love and support each other, it follows that the statement that 'fertilizers are available in commercial inorganic or organic forms' is incorrect.", "Given that the statement that 'either chlorofluorocarbons contain carbon, chlorine and fluorine atoms or if the claim that some farmers kill prairie dogs is false, then marriage is about two people coming together to love and support each other' is incorrect, it can be inferred that some women also require treatment for hirsutism, acne, obesity and infertility.", "Once we know wind powers the voyages of sailing ships across Earth's oceans, we also know that those that suggest chlorofluorocarbons contain carbon, chlorine and fluorine atoms are wrong.", "It is a simple truth that wind powers the voyages of sailing ships across Earth's oceans.", 'If some women also require treatment for hirsutism, acne, obesity and infertility, then congressional oversight is one of the important aspects of American government.', 'At least one of two things is true: either canadian farmers grow the spring type, planted and harvested during the same growing season or public participation is a dialogue between different parties, or alimony is periodic payments from one former spouse for the support of the other former spouse.', 'Assuming either canadian farmers grow the spring type, planted and harvested during the same growing season or public participation is a dialogue between different parties, we know that if some women also require treatment for hirsutism, acne, obesity and infertility, then some people mistakenly believe that congressional oversight is one of the important aspects of American government.', "Whenever it is true that alimony is periodic payments from one former spouse for the support of the other former spouse, 'if some women also require treatment for hirsutism, acne, obesity and infertility, then some people mistakenly believe that congressional oversight is one of the important aspects of American government' is true."]
|
Provided that marriage is about two people coming together to love and support each other, we know that fertilizers are available in commercial inorganic or organic forms. Should it be the case that marriage is about two people coming together to love and support each other, it follows that the statement that 'fertilizers are available in commercial inorganic or organic forms' is incorrect. Given that the statement that 'either chlorofluorocarbons contain carbon, chlorine and fluorine atoms or if the claim that some farmers kill prairie dogs is false, then marriage is about two people coming together to love and support each other' is incorrect, it can be inferred that some women also require treatment for hirsutism, acne, obesity and infertility. Once we know wind powers the voyages of sailing ships across Earth's oceans, we also know that those that suggest chlorofluorocarbons contain carbon, chlorine and fluorine atoms are wrong. It is a simple truth that wind powers the voyages of sailing ships across Earth's oceans. If some women also require treatment for hirsutism, acne, obesity and infertility, then congressional oversight is one of the important aspects of American government. At least one of two things is true: either canadian farmers grow the spring type, planted and harvested during the same growing season or public participation is a dialogue between different parties, or alimony is periodic payments from one former spouse for the support of the other former spouse. Assuming either canadian farmers grow the spring type, planted and harvested during the same growing season or public participation is a dialogue between different parties, we know that if some women also require treatment for hirsutism, acne, obesity and infertility, then some people mistakenly believe that congressional oversight is one of the important aspects of American government. Whenever it is true that alimony is periodic payments from one former spouse for the support of the other former spouse, 'if some women also require treatment for hirsutism, acne, obesity and infertility, then some people mistakenly believe that congressional oversight is one of the important aspects of American government' is true.
|
The idea that some farmers kill prairie dogs is true.
|
The claim that some farmers kill prairie dogs is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [4].
Not [4]. [SC2-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].). [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [4], then (Not [6].).).
If [9], then (If [4], then (Not [6].).).
Therefore, If [4], then (Not [6].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3].
If [1], then (Not [3].).
Therefore, Not [1]..
|
{0: 'Some farmers kill prairie dogs.', 1: 'Marriage is about two people coming together to love and support each other.', 2: 'Chlorofluorocarbons contain carbon, chlorine and fluorine atoms.', 3: 'Fertilizers are available in commercial inorganic or organic forms.', 4: 'Some women also require treatment for hirsutism, acne, obesity and infertility.', 5: "Wind powers the voyages of sailing ships across Earth's oceans.", 6: 'Congressional oversight is one of the important aspects of American government.', 7: 'Canadian farmers grow the spring type, planted and harvested during the same growing season.', 8: 'Public participation is a dialogue between different parties.', 9: 'Alimony is periodic payments from one former spouse for the support of the other former spouse.'}
| 7 |
6,546 |
['Given that some salamanders stay in the water, but look like adults, it can be inferred that either flexible scopes use fiber optics to transmit light and images or beans are sensitive to both dry and wet conditions.', 'Should it be the case that many OWLs allow members of the general public to ask questions or submit work for review, it follows that either flexible scopes use fiber optics to transmit light and images or beans are sensitive to both dry and wet conditions.', 'Many people rightly believe that options have advantage.', "We know that at least one of two things is true: obesity is linked to serious cardiovascular diseases including strokes and heart attacks, or if teamwork is an essential element in electronic media production, then the statement 'flexible scopes use fiber optics to transmit light and images' can be considered false.", 'The claim that obesity is linked to serious cardiovascular diseases including strokes and heart attacks does not correspond with reality.', 'If quarks combine to form the basic building blocks of matter, baryons and mesons, then teamwork is an essential element in electronic media production.', 'The claim that quarks combine to form the basic building blocks of matter, baryons and mesons is true.', "It is a fact that either suicide has major impact on family members and the youth's peers or harbor seals forage close to shore and are typically sighted in coastal waters.", "Given that suicide has major impact on family members and the youth's peers, it can be inferred that if options have advantage, then either some salamanders stay in the water, but look like adults or many OWLs allow members of the general public to ask questions or submit work for review.", 'Given that harbor seals forage close to shore and are typically sighted in coastal waters, it can be inferred that if options have advantage, then either some salamanders stay in the water, but look like adults or many OWLs allow members of the general public to ask questions or submit work for review.']
|
Given that some salamanders stay in the water, but look like adults, it can be inferred that either flexible scopes use fiber optics to transmit light and images or beans are sensitive to both dry and wet conditions. Should it be the case that many OWLs allow members of the general public to ask questions or submit work for review, it follows that either flexible scopes use fiber optics to transmit light and images or beans are sensitive to both dry and wet conditions. Many people rightly believe that options have advantage. We know that at least one of two things is true: obesity is linked to serious cardiovascular diseases including strokes and heart attacks, or if teamwork is an essential element in electronic media production, then the statement 'flexible scopes use fiber optics to transmit light and images' can be considered false. The claim that obesity is linked to serious cardiovascular diseases including strokes and heart attacks does not correspond with reality. If quarks combine to form the basic building blocks of matter, baryons and mesons, then teamwork is an essential element in electronic media production. The claim that quarks combine to form the basic building blocks of matter, baryons and mesons is true. It is a fact that either suicide has major impact on family members and the youth's peers or harbor seals forage close to shore and are typically sighted in coastal waters. Given that suicide has major impact on family members and the youth's peers, it can be inferred that if options have advantage, then either some salamanders stay in the water, but look like adults or many OWLs allow members of the general public to ask questions or submit work for review. Given that harbor seals forage close to shore and are typically sighted in coastal waters, it can be inferred that if options have advantage, then either some salamanders stay in the water, but look like adults or many OWLs allow members of the general public to ask questions or submit work for review.
|
We can assume that beans are sensitive to both dry and wet conditions.
|
It is not the case that beans are sensitive to both dry and wet conditions.
|
FALSE
|
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].).
If [4], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [7], then (Either [3] or [4].). [SC1-3]
[7]
Therefore, Either [3] or [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Either [3] or [4].).).
If [9], then (If [7], then (Either [3] or [4].).).
Therefore, If [7], then (Either [3] or [4].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [2], then (Not [1].).).
Not [5].
Therefore, If [2], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [6], then [2].
[6]
Therefore, [2].
|
{0: 'Beans are sensitive to both dry and wet conditions.', 1: 'Flexible scopes use fiber optics to transmit light and images.', 2: 'Teamwork is an essential element in electronic media production.', 3: 'Some salamanders stay in the water, but look like adults.', 4: 'Many OWLs allow members of the general public to ask questions or submit work for review.', 5: 'Obesity is linked to serious cardiovascular diseases including strokes and heart attacks.', 6: 'Quarks combine to form the basic building blocks of matter, baryons and mesons.', 7: 'Options have advantage.', 8: "Suicide has major impact on family members and the youth's peers.", 9: 'Harbor seals forage close to shore and are typically sighted in coastal waters.'}
| 7 |
6,439 |
['When the statement that states either some plants have color or boiled potatoes are a staple food of the Sherpas is false is true, it follows that dogs are also susceptible to various types of skin fungus.', 'It is the case that cancer can strike any part of the mouth, including the lips and tongue.', 'Given that it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, it can be inferred that some mealworms have exoskeletons.', "Assuming the statement, if it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, then the claim that some mealworms have exoskeletons does not reflect reality, does not hold, we know that the statement that 'real property includes all gifts of real estate' is incorrect.", 'Provided that it is a common misconception that if some men die calmly under the delusions of agnosticism, universalism, or utter weariness of life, then if the statement, if it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, then the claim that some mealworms have exoskeletons does not reflect reality, does not hold, then real property includes all gifts of real estate, we know that if bicycles have (part) bicycle wheels, then some energy passes through roofs.', "The statement that 'if bicycles have (part) bicycle wheels, then some energy passes through roofs' is incorrect.", 'Either all phototoxic reactions appear only on areas of skin that have been exposed to the sun or some men die calmly under the delusions of agnosticism, universalism, or utter weariness of life.', "The notion that 'all phototoxic reactions appear only on areas of skin that have been exposed to the sun' is untrue."]
|
When the statement that states either some plants have color or boiled potatoes are a staple food of the Sherpas is false is true, it follows that dogs are also susceptible to various types of skin fungus. It is the case that cancer can strike any part of the mouth, including the lips and tongue. Given that it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, it can be inferred that some mealworms have exoskeletons. Assuming the statement, if it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, then the claim that some mealworms have exoskeletons does not reflect reality, does not hold, we know that the statement that 'real property includes all gifts of real estate' is incorrect. Provided that it is a common misconception that if some men die calmly under the delusions of agnosticism, universalism, or utter weariness of life, then if the statement, if it is not the case that if cancer can strike any part of the mouth, including the lips and tongue, then the statement, dogs are also susceptible to various types of skin fungus, does not hold, then the claim that some mealworms have exoskeletons does not reflect reality, does not hold, then real property includes all gifts of real estate, we know that if bicycles have (part) bicycle wheels, then some energy passes through roofs. The statement that 'if bicycles have (part) bicycle wheels, then some energy passes through roofs' is incorrect. Either all phototoxic reactions appear only on areas of skin that have been exposed to the sun or some men die calmly under the delusions of agnosticism, universalism, or utter weariness of life. The notion that 'all phototoxic reactions appear only on areas of skin that have been exposed to the sun' is untrue.
|
There is good reason to believe that either some plants have color or boiled potatoes are a staple food of the Sherpas.
|
The statement 'either some plants have color or boiled potatoes are a staple food of the Sherpas' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2].
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Modus Ponens:
If [3], then (Not [2].). [SC1-2]
[3]
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [2].).).), then [4].
If (Not (If [3], then (Not [2].).).), then (Not [4].). [SC2-3]
Therefore, If [3], then (Not [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then [5]. [SC1-4]
If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then (Not [5].).
Therefore, If (Not (If [3], then (Not [2].).).), then (Not [4].)..
[SC1-4]
Modus Ponens:
If [6], then (If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then [5].). [SC1-5]
[6] [SC2-5]
Therefore, If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then [5]..
[SC1-5]
Modus Tonens:
If (Not (If [6], then (If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then [5].).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [6], then (If (Not (If (Not (If [3], then (Not [2].).).), then (Not [4].).).), then [5].)..
[SC2-5]
Disjunctive Syllogism:
Either [9] or [6].
Not [9].
Therefore, [6].
|
{0: 'Some plants have color.', 1: 'Boiled potatoes are a staple food of the Sherpas.', 2: 'Dogs are also susceptible to various types of skin fungus.', 3: 'Cancer can strike any part of the mouth, including the lips and tongue.', 4: 'Some mealworms have exoskeletons.', 5: 'Real property includes all gifts of real estate.', 6: 'Some men die calmly under the delusions of agnosticism, universalism, or utter weariness of life.', 7: 'Bicycles have (part) bicycle wheels.', 8: 'Some energy passes through roofs.', 9: 'All phototoxic reactions appear only on areas of skin that have been exposed to the sun.'}
| 7 |
6,218 |
["Whenever it is true that cycling is on flat to gently rolling country roads, 'people desire admiration' is true.", 'Provided that either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous, we know that little rodents have long legs.', 'Provided that steel production is production, we know that cycling is on flat to gently rolling country roads.', 'Either one or both of these statements are true: tourism is a new and developing industry, or many women examine their cervical mucus, as it is an additional predictor of impending ovulation.', 'Assuming tourism is a new and developing industry, we know that if little rodents have long legs, then people desire admiration.', 'There is good reason to believe that either diphtheria toxin has an alpha, beta structural motif connected by loops or some vipers have reproductive strategies.', "Whenever it is true that diphtheria toxin has an alpha, beta structural motif connected by loops, 'either either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous or steel production is production' is true.", 'Once we know some vipers have reproductive strategies, we also know that either either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous or steel production is production.', 'We know that the claim that either brown bears have the widest distribution of any bear species and occupy a wide range of habitats or markup languages incorporate markup instructions into a stream of text is false.', 'It is a common misconception that optometrists help many patients with challenging visual problems.', "Should it be the case that some people mistakenly believe that if the notion that 'either either brown bears have the widest distribution of any bear species and occupy a wide range of habitats or markup languages incorporate markup instructions into a stream of text or if many women examine their cervical mucus, as it is an additional predictor of impending ovulation, then if little rodents have long legs, then people desire admiration' is untrue, then optometrists help many patients with challenging visual problems, it follows that stream flow has a high correlation to precipitation.", 'The statement, stream flow has a high correlation to precipitation, does not hold.']
|
Whenever it is true that cycling is on flat to gently rolling country roads, 'people desire admiration' is true. Provided that either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous, we know that little rodents have long legs. Provided that steel production is production, we know that cycling is on flat to gently rolling country roads. Either one or both of these statements are true: tourism is a new and developing industry, or many women examine their cervical mucus, as it is an additional predictor of impending ovulation. Assuming tourism is a new and developing industry, we know that if little rodents have long legs, then people desire admiration. There is good reason to believe that either diphtheria toxin has an alpha, beta structural motif connected by loops or some vipers have reproductive strategies. Whenever it is true that diphtheria toxin has an alpha, beta structural motif connected by loops, 'either either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous or steel production is production' is true. Once we know some vipers have reproductive strategies, we also know that either either stomatopods possess the most highly developed eyes of all crustaceans or some plants are mutualistic symbionts, epiphytes, or insectivorous or steel production is production. We know that the claim that either brown bears have the widest distribution of any bear species and occupy a wide range of habitats or markup languages incorporate markup instructions into a stream of text is false. It is a common misconception that optometrists help many patients with challenging visual problems. Should it be the case that some people mistakenly believe that if the notion that 'either either brown bears have the widest distribution of any bear species and occupy a wide range of habitats or markup languages incorporate markup instructions into a stream of text or if many women examine their cervical mucus, as it is an additional predictor of impending ovulation, then if little rodents have long legs, then people desire admiration' is untrue, then optometrists help many patients with challenging visual problems, it follows that stream flow has a high correlation to precipitation. The statement, stream flow has a high correlation to precipitation, does not hold.
|
The statement that states people desire admiration is right.
|
People stand on sidewalks.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [3] or [4].) or [5]. [SC1-2]
If (Either [3] or [4].), then [1].
If [5], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either (Either [3] or [4].) or [5].).
If [11], then (Either (Either [3] or [4].) or [5].).
Therefore, Either (Either [3] or [4].) or [5]..
[SC2-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [1], then [0].).
If [7], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [7], then (If [1], then [0].).). [SC1-3]
Not (Either [8] or [9].).
Therefore, If [7], then (If [1], then [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [8] or [9].) or (If [7], then (If [1], then [0].).).).), then [12]. [SC1-4]
Not [12].
Therefore, Either (Either [8] or [9].) or (If [7], then (If [1], then [0].).)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (Either (Either [8] or [9].) or (If [7], then (If [1], then [0].).).).), then [12].).), then [13].
Not [13].
Therefore, If (Not (Either (Either [8] or [9].) or (If [7], then (If [1], then [0].).).).), then [12]..
|
{0: 'People desire admiration.', 1: 'Little rodents have long legs.', 2: 'Cycling is on flat to gently rolling country roads.', 3: 'Stomatopods possess the most highly developed eyes of all crustaceans.', 4: 'Some plants are mutualistic symbionts, epiphytes, or insectivorous.', 5: 'Steel production is production.', 6: 'Tourism is a new and developing industry.', 7: 'Many women examine their cervical mucus, as it is an additional predictor of impending ovulation.', 8: 'Brown bears have the widest distribution of any bear species and occupy a wide range of habitats.', 9: 'Markup languages incorporate markup instructions into a stream of text.', 10: 'Diphtheria toxin has an alpha, beta structural motif connected by loops.', 11: 'Some vipers have reproductive strategies.', 12: 'Optometrists help many patients with challenging visual problems.', 13: 'Stream flow has a high correlation to precipitation.'}
| 7 |
6,737 |
["So long as methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites, 'sugar depletes the body's vitamin B levels, making the person more susceptible to stress' is true.", 'The claim that alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating is false.', 'If those that suggest either either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics or bone loss tends to increase with increased glucocorticoid doses and prolonged use are wrong, then either bacterial meningitis is referred to as meningococcal meningitis or information bases on practical experience.', 'The claim that either bacterial meningitis is referred to as meningococcal meningitis or information bases on practical experience has no merit.', 'Should it be the case that either fuel cells are essentially nonpolluting and are more efficient than internal combustion engines or meat is an important part of the diet of many people because it contains protein, it follows that if either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites.', "So long as some people have very active earwax glands which produce too much earwax, 'if either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites' is true.", 'One may reasonably assume that if fresh poultry has a good, clean scent, free of odors, then if bone loss tends to increase with increased glucocorticoid doses and prolonged use, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites.', 'It is rational to agree that fresh poultry has a good, clean scent, free of odors.', 'One may reasonably assume that if it is not true that either either fuel cells are essentially nonpolluting and are more efficient than internal combustion engines or meat is an important part of the diet of many people because it contains protein or some people have very active earwax glands which produce too much earwax, then online Newspapers Find online newspapers by continent, country, state.', 'The claim that online Newspapers Find online newspapers by continent, country, state does not correspond with reality.']
|
So long as methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites, 'sugar depletes the body's vitamin B levels, making the person more susceptible to stress' is true. The claim that alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating is false. If those that suggest either either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics or bone loss tends to increase with increased glucocorticoid doses and prolonged use are wrong, then either bacterial meningitis is referred to as meningococcal meningitis or information bases on practical experience. The claim that either bacterial meningitis is referred to as meningococcal meningitis or information bases on practical experience has no merit. Should it be the case that either fuel cells are essentially nonpolluting and are more efficient than internal combustion engines or meat is an important part of the diet of many people because it contains protein, it follows that if either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites. So long as some people have very active earwax glands which produce too much earwax, 'if either raptors Learn what raptors are or frictional drag is due to fluid viscosity and morphology characteristics, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites' is true. One may reasonably assume that if fresh poultry has a good, clean scent, free of odors, then if bone loss tends to increase with increased glucocorticoid doses and prolonged use, then either alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating or methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites. It is rational to agree that fresh poultry has a good, clean scent, free of odors. One may reasonably assume that if it is not true that either either fuel cells are essentially nonpolluting and are more efficient than internal combustion engines or meat is an important part of the diet of many people because it contains protein or some people have very active earwax glands which produce too much earwax, then online Newspapers Find online newspapers by continent, country, state. The claim that online Newspapers Find online newspapers by continent, country, state does not correspond with reality.
|
sugar depletes the body's vitamin B levels, making the person more susceptible to stress.
|
The statement that 'sugar depletes the body's vitamin B levels, making the person more susceptible to stress' is incorrect.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either (Either [3] or [4].) or [5]. [SC1-3]
If (Either [3] or [4].), then (Either [2] or [1].). [SC2-3]
If [5], then (Either [2] or [1].). [SC3-3]
Therefore, Either [2] or [1]..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [3] or [4].) or [5].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either (Either [3] or [4].) or [5]..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10]. [SC1-4]
If (Either [8] or [9].), then (If (Either [3] or [4].), then (Either [2] or [1].).).
If [10], then (If (Either [3] or [4].), then (Either [2] or [1].).).
Therefore, If (Either [3] or [4].), then (Either [2] or [1].)..
[SC1-4]
Modus Tonens:
If (Not (Either (Either [8] or [9].) or [10].).), then [12].
Not [12].
Therefore, Either (Either [8] or [9].) or [10]..
[SC3-3]
Modus Ponens:
If [11], then (If [5], then (Either [2] or [1].).).
[11]
Therefore, If [5], then (Either [2] or [1].)..
|
{0: "Sugar depletes the body's vitamin B levels, making the person more susceptible to stress.", 1: 'Methotrexate alone provides tumor control within the brain, spinal fluid and covert systemic sites.', 2: 'Alkaline foods balance the pH of the blood and help to prevent cancer cells from proliferating.', 3: 'Raptors Learn what raptors are.', 4: 'Frictional drag is due to fluid viscosity and morphology characteristics.', 5: 'Bone loss tends to increase with increased glucocorticoid doses and prolonged use.', 6: 'Bacterial meningitis is referred to as meningococcal meningitis.', 7: 'Information bases on practical experience.', 8: 'Fuel cells are essentially nonpolluting and are more efficient than internal combustion engines.', 9: 'Meat is an important part of the diet of many people because it contains protein.', 10: 'Some people have very active earwax glands which produce too much earwax.', 11: 'Fresh poultry has a good, clean scent, free of odors.', 12: 'Online Newspapers Find online newspapers by continent, country, state.'}
| 7 |
6,505 |
["So long as cholesterol is the major carrier hormone of testosterone and estrogen, 'it is a common misconception that rice provides complex carbohydrates' is true.", 'One may reasonably assume that if it is not the case that either grandmothers wear silk jackets or cholesterol is the major carrier hormone of testosterone and estrogen, then either some bacteria have a second cell wall, consisting of polysaccharides and lipids or genetics plays critical roles.', "Whenever it is true that it is not the case that either grandmothers wear silk jackets or cholesterol is the major carrier hormone of testosterone and estrogen, 'the claim that either some bacteria have a second cell wall, consisting of polysaccharides and lipids or genetics plays critical roles has no merit' is true.", 'The claim that rain cools the air , keeping temperatures from rising too high does not correspond with reality.', 'We know that at least one of two things is true: either choppers have (part) bases or metals behave a little bit differently, or yield is what is paid to an investor on a regular basis.', 'If yield is what is paid to an investor on a regular basis, then if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes.', "There is good reason to believe that either most penguins stand on feet or if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then the statement that 'cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes' is incorrect.", 'The claim that most penguins stand on feet is false.', 'When either choppers have (part) bases or metals behave a little bit differently is true, it follows that pregnancy can effect the relative severity of asthma.', 'Assuming pregnancy can effect the relative severity of asthma, we know that if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes.']
|
So long as cholesterol is the major carrier hormone of testosterone and estrogen, 'it is a common misconception that rice provides complex carbohydrates' is true. One may reasonably assume that if it is not the case that either grandmothers wear silk jackets or cholesterol is the major carrier hormone of testosterone and estrogen, then either some bacteria have a second cell wall, consisting of polysaccharides and lipids or genetics plays critical roles. Whenever it is true that it is not the case that either grandmothers wear silk jackets or cholesterol is the major carrier hormone of testosterone and estrogen, 'the claim that either some bacteria have a second cell wall, consisting of polysaccharides and lipids or genetics plays critical roles has no merit' is true. The claim that rain cools the air , keeping temperatures from rising too high does not correspond with reality. We know that at least one of two things is true: either choppers have (part) bases or metals behave a little bit differently, or yield is what is paid to an investor on a regular basis. If yield is what is paid to an investor on a regular basis, then if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes. There is good reason to believe that either most penguins stand on feet or if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then the statement that 'cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes' is incorrect. The claim that most penguins stand on feet is false. When either choppers have (part) bases or metals behave a little bit differently is true, it follows that pregnancy can effect the relative severity of asthma. Assuming pregnancy can effect the relative severity of asthma, we know that if the claim that if it is not true that if grandmothers wear silk jackets, then it is a common misconception that rice provides complex carbohydrates, then rain cools the air , keeping temperatures from rising too high does not reflect reality, then cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes.
|
It is a common misconception that rice provides complex carbohydrates.
|
The claim that rice is the principal cultivated wetland plant of global importance to food security does not correspond with reality.
|
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]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (Either [4] or [5].).
If (Not (Either [1] or [2].).), then (Not (Either [4] or [5].).).
Therefore, Either [1] or [2]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [3]. [SC1-2]
Not [3].
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6]. [SC1-3]
If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then (Not [6].). [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then [3]..
[SC1-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6].). [SC2-4]
If [9], then (If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6].).
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6]..
[SC2-4]
Hypothetical Syllogism:
If (Either [7] or [8].), then [11].
If [11], then (If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6].).
Therefore, If (Either [7] or [8].), then (If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then [6].)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then (Not [6].).).
Not [10].
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then [3].).), then (Not [6].)..
|
{0: 'Rice provides complex carbohydrates.', 1: 'Grandmothers wear silk jackets.', 2: 'Cholesterol is the major carrier hormone of testosterone and estrogen.', 3: 'Rain cools the air , keeping temperatures from rising too high.', 4: 'Some bacteria have a second cell wall, consisting of polysaccharides and lipids.', 5: 'Genetics plays critical roles.', 6: 'Cells lacking membrane-bound organelles are prokaryotic, and bacteria are prokaryotes.', 7: 'Choppers have (part) bases.', 8: 'Metals behave a little bit differently.', 9: 'Yield is what is paid to an investor on a regular basis.', 10: 'Most penguins stand on feet.', 11: 'Pregnancy can effect the relative severity of asthma.'}
| 7 |
6,605 |
['The claim that a special session is a session does not correspond with reality.', "Given that the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, it can be inferred that equivalence relations are especially important, and they partition a set into disjoint parts.", "On the condition that we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, it is definitely the case that the claim that most veterinary colleges are state schools does not correspond with reality.", 'It is rational to believe that either if combs produce rainbow effects, then fear is a healthy emotion or meniscus tears can be painful.', "Once we know if combs produce rainbow effects, then fear is a healthy emotion, we also know that if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea .", 'It is a fact that either earth is one of the planets that orbits the Sun or if additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , then most veterinary colleges are state schools.', 'The claim that earth is one of the planets that orbits the Sun has no merit.', "Assuming it is not true that if meniscus tears can be painful, then if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , we know that carbon dioxide is produced by all cells as a result of cellular metabolic processes.", "One may reasonably assume that if it is not true that if meniscus tears can be painful, then if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , then the statement, carbon dioxide is produced by all cells as a result of cellular metabolic processes, does not hold."]
|
The claim that a special session is a session does not correspond with reality. Given that the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, it can be inferred that equivalence relations are especially important, and they partition a set into disjoint parts. On the condition that we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, it is definitely the case that the claim that most veterinary colleges are state schools does not correspond with reality. It is rational to believe that either if combs produce rainbow effects, then fear is a healthy emotion or meniscus tears can be painful. Once we know if combs produce rainbow effects, then fear is a healthy emotion, we also know that if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea . It is a fact that either earth is one of the planets that orbits the Sun or if additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , then most veterinary colleges are state schools. The claim that earth is one of the planets that orbits the Sun has no merit. Assuming it is not true that if meniscus tears can be painful, then if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , we know that carbon dioxide is produced by all cells as a result of cellular metabolic processes. One may reasonably assume that if it is not true that if meniscus tears can be painful, then if we know that the claim that if the statement 'either a special session is a session or we know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false' can be considered false, then the statement 'equivalence relations are especially important, and they partition a set into disjoint parts' can be considered false is false, then additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea , then the statement, carbon dioxide is produced by all cells as a result of cellular metabolic processes, does not hold.
|
We know that the claim that if conscious disregard is the lowest level of intent that can pass muster, then acacias have (part) vacuoles is false.
|
On the condition that conscious disregard is the lowest level of intent that can pass muster, it is definitely the case that acacias have (part) vacuoles.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).). [SC1-1]
Not [2].
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (Not (If [0], then [1].).).).), then [3].
If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].). [SC2-2]
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then (Not [4].).
Therefore, If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5]. [SC1-4]
If [5], then [4]. [SC2-4]
Therefore, If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [4]..
[SC1-4]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5].).
If [9], then (If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5].). [SC3-5]
Therefore, If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5]..
[SC3-5]
Reductio Ad Absurdum:
If (Not (If [9], then (If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5].).).), then [10].
If (Not (If [9], then (If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5].).).), then (Not [10].).
Therefore, If [9], then (If (Not (If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not [3].).).), then [5].)..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (If [5], then [4].).
Not [6].
Therefore, If [5], then [4]..
|
{0: 'Conscious disregard is the lowest level of intent that can pass muster.', 1: 'Acacias have (part) vacuoles.', 2: 'A special session is a session.', 3: 'Equivalence relations are especially important, and they partition a set into disjoint parts.', 4: 'Most veterinary colleges are state schools.', 5: 'Additional protein is seen in the lymph gland, cardiac cells , posterior spiracles and trachea .', 6: 'Earth is one of the planets that orbits the Sun.', 7: 'Combs produce rainbow effects.', 8: 'Fear is a healthy emotion.', 9: 'Meniscus tears can be painful.', 10: 'Carbon dioxide is produced by all cells as a result of cellular metabolic processes.'}
| 7 |
6,801 |
['There is good reason to believe that either ecosystems are open, within the biosphere or some hyphae are part of mushrooms.', 'If some hyphae are part of mushrooms, then communication is an irrigation of ideas.', 'Assuming if schizophrenia typically develops at an early age, then thermocouples are popular for their wide temperature range and specialized probes, we know that corn is an important ingredient in processed foods.', 'Some people mistakenly believe that corn is an important ingredient in processed foods.', 'We can assume that oil spills do occur in freshwater but are usually more localised.', 'Given that large mealworms are the same as our regular mealworms, just bigger, it can be inferred that if propaganda is misinformation with an attached agenda, then if oil spills do occur in freshwater but are usually more localised, then if ecosystems are open, within the biosphere, then if schizophrenia typically develops at an early age, then thermocouples are popular for their wide temperature range and specialized probes.', "The statement 'large mealworms are the same as our regular mealworms, just bigger' is true.", 'Either chemistry also is pivotal in drug discovery or propaganda is misinformation with an attached agenda.', 'The claim that chemistry also is pivotal in drug discovery does not reflect reality.']
|
There is good reason to believe that either ecosystems are open, within the biosphere or some hyphae are part of mushrooms. If some hyphae are part of mushrooms, then communication is an irrigation of ideas. Assuming if schizophrenia typically develops at an early age, then thermocouples are popular for their wide temperature range and specialized probes, we know that corn is an important ingredient in processed foods. Some people mistakenly believe that corn is an important ingredient in processed foods. We can assume that oil spills do occur in freshwater but are usually more localised. Given that large mealworms are the same as our regular mealworms, just bigger, it can be inferred that if propaganda is misinformation with an attached agenda, then if oil spills do occur in freshwater but are usually more localised, then if ecosystems are open, within the biosphere, then if schizophrenia typically develops at an early age, then thermocouples are popular for their wide temperature range and specialized probes. The statement 'large mealworms are the same as our regular mealworms, just bigger' is true. Either chemistry also is pivotal in drug discovery or propaganda is misinformation with an attached agenda. The claim that chemistry also is pivotal in drug discovery does not reflect reality.
|
It is reasonable to believe that communication is an irrigation of ideas.
|
It is reasonable to believe that communication is an irrigation of ideas.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then (If [1], then [2].). [SC2-2]
If [4], then [0].
Therefore, Either (If [1], then [2].) or [0]..
[SC2-2]
Modus Ponens:
If [6], then (If [3], then (If [1], then [2].).). [SC1-3]
[6]
Therefore, If [3], then (If [1], then [2].)..
[SC1-3]
Modus Ponens:
If [7], then (If [6], then (If [3], then (If [1], then [2].).).). [SC1-4]
[7] [SC2-4]
Therefore, If [6], then (If [3], then (If [1], then [2].).)..
[SC1-4]
Modus Ponens:
If [9], then (If [7], then (If [6], then (If [3], then (If [1], then [2].).).).).
[9]
Therefore, If [7], then (If [6], then (If [3], then (If [1], then [2].).).)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or [7].
Not [8].
Therefore, [7].
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [5].
Not [5].
Therefore, Not (If [1], then [2].)..
|
{0: 'Communication is an irrigation of ideas.', 1: 'Schizophrenia typically develops at an early age.', 2: 'Thermocouples are popular for their wide temperature range and specialized probes.', 3: 'Ecosystems are open, within the biosphere.', 4: 'Some hyphae are part of mushrooms.', 5: 'Corn is an important ingredient in processed foods.', 6: 'Oil spills do occur in freshwater but are usually more localised.', 7: 'Propaganda is misinformation with an attached agenda.', 8: 'Chemistry also is pivotal in drug discovery.', 9: 'Large mealworms are the same as our regular mealworms, just bigger.'}
| 7 |
6,948 |
['When a hibiscus is a mallow is true, it follows that if beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton, then gene therapy involves putting genes into humans to cure genetic disease.', 'Provided that the statement that states either a hibiscus is a mallow or either photosynthesis contributes to nutrition or postpartum depression can be quite intense is false, we know that stress affects different people in different ways.', 'The claim that stress affects different people in different ways has no merit.', 'We know that either trading futures involves risk of loss or if either photosynthesis contributes to nutrition or postpartum depression can be quite intense, then if beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton, then gene therapy involves putting genes into humans to cure genetic disease.', 'The claim that trading futures involves risk of loss does not reflect reality.', 'Provided that the claim that either enantiomers have identical chemical properties except toward optically active reagents or beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton is false, we know that if heat refers to the total energy of the molecular motion or kinetic energy of a material, then common trees are red and white oak, gray birch, red maple, sugar maple, and white pine.', 'Given that the claim that either enantiomers have identical chemical properties except toward optically active reagents or beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton is false, it can be inferred that those that suggest if heat refers to the total energy of the molecular motion or kinetic energy of a material, then common trees are red and white oak, gray birch, red maple, sugar maple, and white pine are wrong.', "Whenever it is true that enantiomers have identical chemical properties except toward optically active reagents, 'wheat is roughly three times as hard to put air through as corn or soybeans' is true.", 'Assuming enantiomers have identical chemical properties except toward optically active reagents, we know that it is not the case that wheat is roughly three times as hard to put air through as corn or soybeans.']
|
When a hibiscus is a mallow is true, it follows that if beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton, then gene therapy involves putting genes into humans to cure genetic disease. Provided that the statement that states either a hibiscus is a mallow or either photosynthesis contributes to nutrition or postpartum depression can be quite intense is false, we know that stress affects different people in different ways. The claim that stress affects different people in different ways has no merit. We know that either trading futures involves risk of loss or if either photosynthesis contributes to nutrition or postpartum depression can be quite intense, then if beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton, then gene therapy involves putting genes into humans to cure genetic disease. The claim that trading futures involves risk of loss does not reflect reality. Provided that the claim that either enantiomers have identical chemical properties except toward optically active reagents or beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton is false, we know that if heat refers to the total energy of the molecular motion or kinetic energy of a material, then common trees are red and white oak, gray birch, red maple, sugar maple, and white pine. Given that the claim that either enantiomers have identical chemical properties except toward optically active reagents or beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton is false, it can be inferred that those that suggest if heat refers to the total energy of the molecular motion or kinetic energy of a material, then common trees are red and white oak, gray birch, red maple, sugar maple, and white pine are wrong. Whenever it is true that enantiomers have identical chemical properties except toward optically active reagents, 'wheat is roughly three times as hard to put air through as corn or soybeans' is true. Assuming enantiomers have identical chemical properties except toward optically active reagents, we know that it is not the case that wheat is roughly three times as hard to put air through as corn or soybeans.
|
It is rational to agree that gene therapy involves putting genes into humans to cure genetic disease.
|
It is rational to agree that gene therapy involves putting genes into humans to cure genetic disease.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (If [1], then [0].).
If (Either [4] or [5].), then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (Either [4] or [5].).).), then [6].
Not [6].
Therefore, Either [3] or (Either [4] or [5].)..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If (Either [4] or [5].), then (If [1], then [0].).).
Not [7].
Therefore, If (Either [4] or [5].), then (If [1], then [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [1].).), then (If [8], then [9].).
If (Not (Either [2] or [1].).), then (Not (If [8], then [9].).).
Therefore, Either [2] or [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [10].
If [2], then (Not [10].).
Therefore, Not [2]..
|
{0: 'Gene therapy involves putting genes into humans to cure genetic disease.', 1: 'Beetles feeding on leaves usually chew out the tissue between the veins, leaving a lacey skeleton.', 2: 'Enantiomers have identical chemical properties except toward optically active reagents.', 3: 'A hibiscus is a mallow.', 4: 'Photosynthesis contributes to nutrition.', 5: 'Postpartum depression can be quite intense.', 6: 'Stress affects different people in different ways.', 7: 'Trading futures involves risk of loss.', 8: 'Heat refers to the total energy of the molecular motion or kinetic energy of a material.', 9: 'Common trees are red and white oak, gray birch, red maple, sugar maple, and white pine.', 10: 'Wheat is roughly three times as hard to put air through as corn or soybeans.'}
| 7 |
6,683 |
['Should it be the case that races differ innately in character traits, it follows that if livers play major roles, then brain activity is observable, like behaviour.', 'At least one of two things is true: horizon isa location, or if some people mistakenly believe that either oligodendrocytes provide a good model system for such investigations or races differ innately in character traits, then proper nutrition is essential for maximum performance and fitness levels.', "The statement that 'horizon isa location' is incorrect.", "So long as proper nutrition is essential for maximum performance and fitness levels, 'advertising agencies exist to rent our attention to people with goods or services to sell' is true.", "The notion that 'advertising agencies exist to rent our attention to people with goods or services to sell' is untrue.", "One may reasonably assume that if images are files that specify how pixels have to be 'turned on' on the monitor's screen, then if we know that the claim that if oligodendrocytes provide a good model system for such investigations, then if livers play major roles, then brain activity is observable, like behaviour is false, then biological controls use other organisms to eliminate problem pests.", "The idea that images are files that specify how pixels have to be 'turned on' on the monitor's screen is true.", 'Provided that it is a common misconception that if we know that the claim that if oligodendrocytes provide a good model system for such investigations, then if livers play major roles, then brain activity is observable, like behaviour is false, then the statement, biological controls use other organisms to eliminate problem pests, does not hold, we know that walls consist of outer cell layers.', 'It is a common misconception that walls consist of outer cell layers.']
|
Should it be the case that races differ innately in character traits, it follows that if livers play major roles, then brain activity is observable, like behaviour. At least one of two things is true: horizon isa location, or if some people mistakenly believe that either oligodendrocytes provide a good model system for such investigations or races differ innately in character traits, then proper nutrition is essential for maximum performance and fitness levels. The statement that 'horizon isa location' is incorrect. So long as proper nutrition is essential for maximum performance and fitness levels, 'advertising agencies exist to rent our attention to people with goods or services to sell' is true. The notion that 'advertising agencies exist to rent our attention to people with goods or services to sell' is untrue. One may reasonably assume that if images are files that specify how pixels have to be 'turned on' on the monitor's screen, then if we know that the claim that if oligodendrocytes provide a good model system for such investigations, then if livers play major roles, then brain activity is observable, like behaviour is false, then biological controls use other organisms to eliminate problem pests. The idea that images are files that specify how pixels have to be 'turned on' on the monitor's screen is true. Provided that it is a common misconception that if we know that the claim that if oligodendrocytes provide a good model system for such investigations, then if livers play major roles, then brain activity is observable, like behaviour is false, then the statement, biological controls use other organisms to eliminate problem pests, does not hold, we know that walls consist of outer cell layers. It is a common misconception that walls consist of outer cell layers.
|
Should it be the case that livers play major roles, it follows that brain activity is observable, like behaviour.
|
The claim that if livers play major roles, then brain activity is observable, like behaviour does not reflect reality.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or [3].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [2] or [3]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (If (Not (Either [2] or [3].).), then [4].).
Not [9].
Therefore, If (Not (Either [2] or [3].).), then [4]..
[SC2-2]
Modus Tonens:
If [4], then [6].
Not [6].
Therefore, Not [4]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then [5]. [SC1-2]
If (Not (If [2], then (If [0], then [1].).).), then (Not [5].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [8], then (If (Not (If [2], then (If [0], then [1].).).), then [5].).
[8]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [5]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [2], then (If [0], then [1].).).), then (Not [5].).).), then [7].
Not [7].
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (Not [5].)..
|
{0: 'Livers play major roles.', 1: 'Brain activity is observable, like behaviour.', 2: 'Oligodendrocytes provide a good model system for such investigations.', 3: 'Races differ innately in character traits.', 4: 'Proper nutrition is essential for maximum performance and fitness levels.', 5: 'Biological controls use other organisms to eliminate problem pests.', 6: 'Advertising agencies exist to rent our attention to people with goods or services to sell.', 7: 'Walls consist of outer cell layers.', 8: "Images are files that specify how pixels have to be 'turned on' on the monitor's screen.", 9: 'Horizon isa location.'}
| 7 |
6,205 |
["The claim that muscular atrophy can cause serious problems in a person 's life does not reflect reality.", "So long as the statement that states if a tone is a speech, then either muscular atrophy can cause serious problems in a person 's life or saps are albums is false, 'brewed coffee seems to create hundreds of new chemicals that appear to have antioxidant qualities' is true.", 'One may reasonably assume that if chases are subsidiaries, then the claim that brewed coffee seems to create hundreds of new chemicals that appear to have antioxidant qualities has no merit.', "The statement 'chases are subsidiaries' is true.", 'One may reasonably assume that if the claim that a tone is a speech has no merit, then liquids are dense, gases are light.', 'When liquids are dense, gases are light is true, it follows that many women let themselves go after having children.', 'Provided that those that suggest if the claim that a tone is a speech has no merit, then the statement, many women let themselves go after having children, does not hold are wrong, we know that oceans moderate temperature variations.', 'When those that suggest if the claim that a tone is a speech has no merit, then the statement, many women let themselves go after having children, does not hold are wrong is true, it follows that it is not the case that oceans moderate temperature variations.']
|
The claim that muscular atrophy can cause serious problems in a person 's life does not reflect reality. So long as the statement that states if a tone is a speech, then either muscular atrophy can cause serious problems in a person 's life or saps are albums is false, 'brewed coffee seems to create hundreds of new chemicals that appear to have antioxidant qualities' is true. One may reasonably assume that if chases are subsidiaries, then the claim that brewed coffee seems to create hundreds of new chemicals that appear to have antioxidant qualities has no merit. The statement 'chases are subsidiaries' is true. One may reasonably assume that if the claim that a tone is a speech has no merit, then liquids are dense, gases are light. When liquids are dense, gases are light is true, it follows that many women let themselves go after having children. Provided that those that suggest if the claim that a tone is a speech has no merit, then the statement, many women let themselves go after having children, does not hold are wrong, we know that oceans moderate temperature variations. When those that suggest if the claim that a tone is a speech has no merit, then the statement, many women let themselves go after having children, does not hold are wrong is true, it follows that it is not the case that oceans moderate temperature variations.
|
saps are albums.
|
Saps are albums.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2] [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Either [1] or [0].).).), then [3].
Not [3]. [SC2-3]
Therefore, If [2], then (Either [1] or [0].)..
[SC2-3]
Modus Ponens:
If [5], then (Not [3].).
[5]
Therefore, Not [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [4]. [SC1-3]
If (Not [2].), then (Not [4].). [SC2-3]
Therefore, [2].
[SC1-3]
Hypothetical Syllogism:
If (Not [2].), then [6].
If [6], then [4].
Therefore, If (Not [2].), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then (Not [4].).).), then [7].
If (Not (If (Not [2].), then (Not [4].).).), then (Not [7].).
Therefore, If (Not [2].), then (Not [4].)..
|
{0: 'Saps are albums.', 1: "Muscular atrophy can cause serious problems in a person 's life .", 2: 'A tone is a speech.', 3: 'Brewed coffee seems to create hundreds of new chemicals that appear to have antioxidant qualities.', 4: 'Many women let themselves go after having children.', 5: 'Chases are subsidiaries.', 6: 'Liquids are dense, gases are light.', 7: 'Oceans moderate temperature variations.'}
| 7 |
6,647 |
['Should it be the case that seahorses come in several species and sizes, it follows that if some refrigerators fill with ice, then minimum investment is what it takes to open an account.', "Assuming if location is one of the most important components of real estate value, then humidity is the next most common cause of paper jams, we know that if stroke is Britain's third biggest killer and the largest single cause of severe disability, then seahorses come in several species and sizes.", "So long as if platypuses use snouts, then berries are toxic to most native song birds, 'if stroke is Britain's third biggest killer and the largest single cause of severe disability, then seahorses come in several species and sizes' is true.", 'Either fuel cells are basically hydrogen batteries or most blood is used to treat cancer, heart and liver diseases, sickle-cell anemia and hemophilia.', "On the condition that fuel cells are basically hydrogen batteries, it is definitely the case that either if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs or if stroke is Britain's third biggest killer and the largest single cause of severe disability, then it is not true that if some refrigerators fill with ice, then minimum investment is what it takes to open an account.", "Whenever it is true that most blood is used to treat cancer, heart and liver diseases, sickle-cell anemia and hemophilia, 'either if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs or if stroke is Britain's third biggest killer and the largest single cause of severe disability, then it is not true that if some refrigerators fill with ice, then minimum investment is what it takes to open an account' is true.", "We know that either most plants produce aerial roots or the statement that 'if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs' is incorrect.", 'It is not the case that most plants produce aerial roots.', 'There is good reason to believe that either wheat is the main food crop, followed by rice, millet, maize, barley and pulses or either if location is one of the most important components of real estate value, then humidity is the next most common cause of paper jams or if platypuses use snouts, then berries are toxic to most native song birds.', 'The claim that wheat is the main food crop, followed by rice, millet, maize, barley and pulses has no merit.']
|
Should it be the case that seahorses come in several species and sizes, it follows that if some refrigerators fill with ice, then minimum investment is what it takes to open an account. Assuming if location is one of the most important components of real estate value, then humidity is the next most common cause of paper jams, we know that if stroke is Britain's third biggest killer and the largest single cause of severe disability, then seahorses come in several species and sizes. So long as if platypuses use snouts, then berries are toxic to most native song birds, 'if stroke is Britain's third biggest killer and the largest single cause of severe disability, then seahorses come in several species and sizes' is true. Either fuel cells are basically hydrogen batteries or most blood is used to treat cancer, heart and liver diseases, sickle-cell anemia and hemophilia. On the condition that fuel cells are basically hydrogen batteries, it is definitely the case that either if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs or if stroke is Britain's third biggest killer and the largest single cause of severe disability, then it is not true that if some refrigerators fill with ice, then minimum investment is what it takes to open an account. Whenever it is true that most blood is used to treat cancer, heart and liver diseases, sickle-cell anemia and hemophilia, 'either if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs or if stroke is Britain's third biggest killer and the largest single cause of severe disability, then it is not true that if some refrigerators fill with ice, then minimum investment is what it takes to open an account' is true. We know that either most plants produce aerial roots or the statement that 'if shellfish are just biological filters, and retain whatever happens to be in the water, then infants have (part) legs' is incorrect. It is not the case that most plants produce aerial roots. There is good reason to believe that either wheat is the main food crop, followed by rice, millet, maize, barley and pulses or either if location is one of the most important components of real estate value, then humidity is the next most common cause of paper jams or if platypuses use snouts, then berries are toxic to most native song birds. The claim that wheat is the main food crop, followed by rice, millet, maize, barley and pulses has no merit.
|
The statement, stroke is Britain's third biggest killer and the largest single cause of severe disability, does not hold.
|
The statement, stroke is Britain's third biggest killer and the largest single cause of severe disability, does not hold.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then (If [1], then [2].). [SC1-1]
If [0], then (Not (If [1], then [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then (If [1], then [2].).
Therefore, If [0], then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either (If [9], then [10].) or (If [11], then [12].). [SC1-3]
If (If [9], then [10].), then (If [0], then [3].).
If (If [11], then [12].), then (If [0], then [3].).
Therefore, If [0], then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [13] or (Either (If [9], then [10].) or (If [11], then [12].).).
Not [13].
Therefore, Either (If [9], then [10].) or (If [11], then [12].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [0], then (Not (If [1], then [2].).).). [SC1-2]
Not (If [4], then [5].). [SC2-2]
Therefore, If [0], then (Not (If [1], then [2].).)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either (If [4], then [5].) or (If [0], then (Not (If [1], then [2].).).).).
If [7], then (Either (If [4], then [5].) or (If [0], then (Not (If [1], then [2].).).).).
Therefore, Either (If [4], then [5].) or (If [0], then (Not (If [1], then [2].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not (If [4], then [5].).).
Not [8].
Therefore, Not (If [4], then [5].)..
|
{0: "Stroke is Britain's third biggest killer and the largest single cause of severe disability.", 1: 'Some refrigerators fill with ice.', 2: 'Minimum investment is what it takes to open an account.', 3: 'Seahorses come in several species and sizes.', 4: 'Shellfish are just biological filters, and retain whatever happens to be in the water.', 5: 'Infants have (part) legs.', 6: 'Fuel cells are basically hydrogen batteries.', 7: 'Most blood is used to treat cancer, heart and liver diseases, sickle-cell anemia and hemophilia.', 8: 'Most plants produce aerial roots.', 9: 'Location is one of the most important components of real estate value.', 10: 'Humidity is the next most common cause of paper jams.', 11: 'Platypuses use snouts.', 12: 'Berries are toxic to most native song birds.', 13: 'Wheat is the main food crop, followed by rice, millet, maize, barley and pulses.'}
| 7 |
6,190 |
["Whenever it is true that microbiologists study all aspects of microorganisms, both at a pure and an applied level, 'the statement that states most insectivorous lizards have prey is false' is true.", "Whenever it is true that it is not true that if most omnivorous animals eat food, then the statement that states most insectivorous lizards have prey is false, 'the statement that states chromtic involution serves the art-theoretical analysis of pictures is false' is true.", 'We know that at least one of two things is true: carbon dioxide enters the leaf through pores called stroma, or if the statement, either most omnivorous animals eat food or microbiologists study all aspects of microorganisms, both at a pure and an applied level, does not hold, then if technology affords the means to amass, correlate and manipulate personal information, then librarians are both important producers and frequent consumers of book reviews.', 'The statement, carbon dioxide enters the leaf through pores called stroma, does not hold.', 'It is a fact that either wildflowers add to the dance of color throughout spring, summer and fall or if the statement, either most omnivorous animals eat food or microbiologists study all aspects of microorganisms, both at a pure and an applied level, does not hold, then some people mistakenly believe that if technology affords the means to amass, correlate and manipulate personal information, then librarians are both important producers and frequent consumers of book reviews.', 'The statement that states wildflowers add to the dance of color throughout spring, summer and fall is false.', 'Provided that either rotters have (part) legs or cowbirds follow cattle and lay their eggs in the nest of nearby songbirds, we know that chromtic involution serves the art-theoretical analysis of pictures.', 'One may reasonably assume that if it is not the case that if it is not true that if most omnivorous animals eat food, then the statement that states most insectivorous lizards have prey is false, then either rotters have (part) legs or cowbirds follow cattle and lay their eggs in the nest of nearby songbirds, then most reproductive activities affect weight.', 'It is not the case that most reproductive activities affect weight.']
|
Whenever it is true that microbiologists study all aspects of microorganisms, both at a pure and an applied level, 'the statement that states most insectivorous lizards have prey is false' is true. Whenever it is true that it is not true that if most omnivorous animals eat food, then the statement that states most insectivorous lizards have prey is false, 'the statement that states chromtic involution serves the art-theoretical analysis of pictures is false' is true. We know that at least one of two things is true: carbon dioxide enters the leaf through pores called stroma, or if the statement, either most omnivorous animals eat food or microbiologists study all aspects of microorganisms, both at a pure and an applied level, does not hold, then if technology affords the means to amass, correlate and manipulate personal information, then librarians are both important producers and frequent consumers of book reviews. The statement, carbon dioxide enters the leaf through pores called stroma, does not hold. It is a fact that either wildflowers add to the dance of color throughout spring, summer and fall or if the statement, either most omnivorous animals eat food or microbiologists study all aspects of microorganisms, both at a pure and an applied level, does not hold, then some people mistakenly believe that if technology affords the means to amass, correlate and manipulate personal information, then librarians are both important producers and frequent consumers of book reviews. The statement that states wildflowers add to the dance of color throughout spring, summer and fall is false. Provided that either rotters have (part) legs or cowbirds follow cattle and lay their eggs in the nest of nearby songbirds, we know that chromtic involution serves the art-theoretical analysis of pictures. One may reasonably assume that if it is not the case that if it is not true that if most omnivorous animals eat food, then the statement that states most insectivorous lizards have prey is false, then either rotters have (part) legs or cowbirds follow cattle and lay their eggs in the nest of nearby songbirds, then most reproductive activities affect weight. It is not the case that most reproductive activities affect weight.
|
The statement that states most insectivorous lizards have prey is false.
|
The idea that most insectivorous lizards have prey is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (If [3], then [4].). [SC1-2]
If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [1] or [2].).), then (If [3], then [4].).).
Not [7].
Therefore, If (Not (Either [1] or [2].).), then (If [3], then [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).).).
Not [6].
Therefore, If (Not (Either [1] or [2].).), then (Not (If [3], then [4].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [5]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [5].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then (Either [8] or [9].). [SC1-3]
If (Either [8] or [9].), then [5].
Therefore, If (Not (If [1], then (Not [0].).).), then [5]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [1], then (Not [0].).).), then (Either [8] or [9].).).), then [10].
Not [10].
Therefore, If (Not (If [1], then (Not [0].).).), then (Either [8] or [9].)..
|
{0: 'Most insectivorous lizards have prey.', 1: 'Most omnivorous animals eat food.', 2: 'Microbiologists study all aspects of microorganisms, both at a pure and an applied level.', 3: 'Technology affords the means to amass, correlate and manipulate personal information.', 4: 'Librarians are both important producers and frequent consumers of book reviews.', 5: 'Chromtic involution serves the art-theoretical analysis of pictures.', 6: 'Wildflowers add to the dance of color throughout spring, summer and fall.', 7: 'Carbon dioxide enters the leaf through pores called stroma.', 8: 'Rotters have (part) legs.', 9: 'Cowbirds follow cattle and lay their eggs in the nest of nearby songbirds.', 10: 'Most reproductive activities affect weight.'}
| 7 |
6,361 |
['Provided that those that suggest if the statement that states bond isa attraction is false, then it is not true that larger eddies are primarily responsible for the transport of bubbles are wrong, we know that some plants have silver sheen.', 'Given that abscesses can form around the infected area causing a perforation of the intestinal wall, it can be inferred that eukaryotic cells are the plants and animal cells.', "Whenever it is true that eukaryotic cells are the plants and animal cells, 'if the statement that states bond isa attraction is false, then larger eddies are primarily responsible for the transport of bubbles' is true.", 'Given that the claim that abscesses can form around the infected area causing a perforation of the intestinal wall does not correspond with reality, it can be inferred that some bears cross roads.', 'If tadpoles are as easy to spot as their much larger parents, then it is not the case that some plants have silver sheen.', 'Many people rightly believe that tadpoles are as easy to spot as their much larger parents.', 'Given that some bears cross roads, it can be inferred that spore germination occurs after rupture of the sporocarp wall.', "So long as some bears cross roads, 'the statement, spore germination occurs after rupture of the sporocarp wall, does not hold' is true."]
|
Provided that those that suggest if the statement that states bond isa attraction is false, then it is not true that larger eddies are primarily responsible for the transport of bubbles are wrong, we know that some plants have silver sheen. Given that abscesses can form around the infected area causing a perforation of the intestinal wall, it can be inferred that eukaryotic cells are the plants and animal cells. Whenever it is true that eukaryotic cells are the plants and animal cells, 'if the statement that states bond isa attraction is false, then larger eddies are primarily responsible for the transport of bubbles' is true. Given that the claim that abscesses can form around the infected area causing a perforation of the intestinal wall does not correspond with reality, it can be inferred that some bears cross roads. If tadpoles are as easy to spot as their much larger parents, then it is not the case that some plants have silver sheen. Many people rightly believe that tadpoles are as easy to spot as their much larger parents. Given that some bears cross roads, it can be inferred that spore germination occurs after rupture of the sporocarp wall. So long as some bears cross roads, 'the statement, spore germination occurs after rupture of the sporocarp wall, does not hold' is true.
|
It is reasonable to believe that bond isa attraction.
|
It is reasonable to believe that bond isa attraction.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then [1].). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If (Not [0].), then [1].).
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-2]
Modus Tonens:
If (Not [3].), then [4].
Not [4]. [SC2-3]
Therefore, [3].
[SC2-3]
Reductio Ad Absurdum:
If [4], then [7].
If [4], then (Not [7].).
Therefore, Not [4]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
|
{0: 'Bond isa attraction.', 1: 'Larger eddies are primarily responsible for the transport of bubbles.', 2: 'Some plants have silver sheen.', 3: 'Abscesses can form around the infected area causing a perforation of the intestinal wall.', 4: 'Some bears cross roads.', 5: 'Tadpoles are as easy to spot as their much larger parents.', 6: 'Eukaryotic cells are the plants and animal cells.', 7: 'Spore germination occurs after rupture of the sporocarp wall.'}
| 7 |
6,664 |
['At least one of two things is true: if infrared mapping improves efficiency, cuts costs of fire suppression, then horsepower is another unit of power, or steel is the environmental leader among automotive materials.', 'One may reasonably assume that if if infrared mapping improves efficiency, cuts costs of fire suppression, then horsepower is another unit of power, then if either judgment has consequences or muskrats have (part) cell membranes, then if some species can either be land or sea urchins, then some mammals give birth to livestock.', 'When steel is the environmental leader among automotive materials is true, it follows that if either judgment has consequences or muskrats have (part) cell membranes, then if some species can either be land or sea urchins, then some mammals give birth to livestock.', 'At least one of two things is true: if most minerals reflect visible and infrared light in unique ways, then habitat fragmentation can result in the loss of a species due to natural disturbance, or morels are honeycombed mushrooms, shaped like druid hats, with a delicate nutty-smoky flavor.', 'Provided that some people mistakenly believe that if if most minerals reflect visible and infrared light in unique ways, then habitat fragmentation can result in the loss of a species due to natural disturbance, then judgment has consequences, we know that irons are home appliances.', 'When morels are honeycombed mushrooms, shaped like druid hats, with a delicate nutty-smoky flavor is true, it follows that goats continue to be prized for their milk and the resulting fermented dairy products.', "Either one or both of these statements are true: if most snakes swallow their prey alive, then floors are wets, or the statement that 'irons are home appliances' is incorrect.", 'The statement, if most snakes swallow their prey alive, then floors are wets, does not hold.', 'We know that at least one of two things is true: power is the perception of power, or if goats continue to be prized for their milk and the resulting fermented dairy products, then muskrats have (part) cell membranes.', 'It is not the case that power is the perception of power.']
|
At least one of two things is true: if infrared mapping improves efficiency, cuts costs of fire suppression, then horsepower is another unit of power, or steel is the environmental leader among automotive materials. One may reasonably assume that if if infrared mapping improves efficiency, cuts costs of fire suppression, then horsepower is another unit of power, then if either judgment has consequences or muskrats have (part) cell membranes, then if some species can either be land or sea urchins, then some mammals give birth to livestock. When steel is the environmental leader among automotive materials is true, it follows that if either judgment has consequences or muskrats have (part) cell membranes, then if some species can either be land or sea urchins, then some mammals give birth to livestock. At least one of two things is true: if most minerals reflect visible and infrared light in unique ways, then habitat fragmentation can result in the loss of a species due to natural disturbance, or morels are honeycombed mushrooms, shaped like druid hats, with a delicate nutty-smoky flavor. Provided that some people mistakenly believe that if if most minerals reflect visible and infrared light in unique ways, then habitat fragmentation can result in the loss of a species due to natural disturbance, then judgment has consequences, we know that irons are home appliances. When morels are honeycombed mushrooms, shaped like druid hats, with a delicate nutty-smoky flavor is true, it follows that goats continue to be prized for their milk and the resulting fermented dairy products. Either one or both of these statements are true: if most snakes swallow their prey alive, then floors are wets, or the statement that 'irons are home appliances' is incorrect. The statement, if most snakes swallow their prey alive, then floors are wets, does not hold. We know that at least one of two things is true: power is the perception of power, or if goats continue to be prized for their milk and the resulting fermented dairy products, then muskrats have (part) cell membranes. It is not the case that power is the perception of power.
|
Assuming some species can either be land or sea urchins, we know that some mammals give birth to livestock.
|
Whenever it is true that some species can either be land or sea urchins, 'mammals have different types of teeth' is true.
|
Uncertain
|
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If (Either [2] or [3].), then (If [0], then [1].).).
If [9], then (If (Either [2] or [3].), then (If [0], then [1].).).
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC2-1]
Constructive Dilemma:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then [2]. [SC2-2]
If [6], then [3]. [SC3-2]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If (If [4], then [5].), then [2].).), then [10].
Not [10]. [SC2-3]
Therefore, If (If [4], then [5].), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either (If [13], then [14].) or (Not [10].).
Not (If [13], then [14].).
Therefore, Not [10]..
[SC3-2]
Hypothetical Syllogism:
If [6], then [11].
If [11], then [3]. [SC2-3]
Therefore, If [6], then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [12] or (If [11], then [3].).
Not [12].
Therefore, If [11], then [3]..
|
{0: 'Some species can either be land or sea urchins.', 1: 'Some mammals give birth to livestock.', 2: 'Judgment has consequences.', 3: 'Muskrats have (part) cell membranes.', 4: 'Most minerals reflect visible and infrared light in unique ways.', 5: 'Habitat fragmentation can result in the loss of a species due to natural disturbance.', 6: 'Morels are honeycombed mushrooms, shaped like druid hats, with a delicate nutty-smoky flavor.', 7: 'Infrared mapping improves efficiency, cuts costs of fire suppression.', 8: 'Horsepower is another unit of power.', 9: 'Steel is the environmental leader among automotive materials.', 10: 'Irons are home appliances.', 11: 'Goats continue to be prized for their milk and the resulting fermented dairy products.', 12: 'Power is the perception of power.', 13: 'Most snakes swallow their prey alive.', 14: 'Floors are wets.'}
| 7 |
6,375 |
['If it is not true that if unemployment is a state, then focal seizures are less common and, as the term implies, involve only a part of the body, then turbans are headdresses.', 'It is a common misconception that storage is a moving and storage company.', "The statement 'web spinning spiders, as their name implies, create elaborate orbs of silk to capture their prey' can be considered false.", 'The statement, mechanisms have distinct characteristics, does not hold.', 'Given that tribes use feathers, it can be inferred that if corporations expand the use of their money to buy, rent, lease or influence politicians, then web spinning spiders, as their name implies, create elaborate orbs of silk to capture their prey.', 'It is reasonable to believe that tribes use feathers.', 'There is good reason to believe that either if cankers are most common on trees and shrubs under stress, then borage is a skeeter repellent or if some people mistakenly believe that either storage is a moving and storage company or either corporations expand the use of their money to buy, rent, lease or influence politicians or some people mistakenly believe that turbans are headdresses, then mechanisms have distinct characteristics.', 'The claim that if cankers are most common on trees and shrubs under stress, then borage is a skeeter repellent is false.']
|
If it is not true that if unemployment is a state, then focal seizures are less common and, as the term implies, involve only a part of the body, then turbans are headdresses. It is a common misconception that storage is a moving and storage company. The statement 'web spinning spiders, as their name implies, create elaborate orbs of silk to capture their prey' can be considered false. The statement, mechanisms have distinct characteristics, does not hold. Given that tribes use feathers, it can be inferred that if corporations expand the use of their money to buy, rent, lease or influence politicians, then web spinning spiders, as their name implies, create elaborate orbs of silk to capture their prey. It is reasonable to believe that tribes use feathers. There is good reason to believe that either if cankers are most common on trees and shrubs under stress, then borage is a skeeter repellent or if some people mistakenly believe that either storage is a moving and storage company or either corporations expand the use of their money to buy, rent, lease or influence politicians or some people mistakenly believe that turbans are headdresses, then mechanisms have distinct characteristics. The claim that if cankers are most common on trees and shrubs under stress, then borage is a skeeter repellent is false.
|
When unemployment is a state is true, it follows that focal seizures are less common and, as the term implies, involve only a part of the body.
|
Provided that unemployment means little money comes into an area resulting in poor maintenance of housing, we know that focal seizures are less common and, as the term implies, involve only a part of the body
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or (Not [2].).). [SC1-3]
Not [5].
Therefore, Either [3] or (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (Either [3] or (Not [2].).).).), then [6]. [SC1-4]
Not [6].
Therefore, Either [5] or (Either [3] or (Not [2].).)..
[SC1-4]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Not (Either [5] or (Either [3] or (Not [2].).).).), then [6].).
Not (If [8], then [9].).
Therefore, If (Not (Either [5] or (Either [3] or (Not [2].).).).), then [6]..
[SC2-2]
Modus Tonens:
If [3], then [4]. [SC1-3]
Not [4].
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If [7], then (If [3], then [4].).
[7]
Therefore, If [3], then [4]..
|
{0: 'Unemployment is a state.', 1: 'Focal seizures are less common and, as the term implies, involve only a part of the body.', 2: 'Turbans are headdresses.', 3: 'Corporations expand the use of their money to buy, rent, lease or influence politicians.', 4: 'Web spinning spiders, as their name implies, create elaborate orbs of silk to capture their prey.', 5: 'Storage is a moving and storage company.', 6: 'Mechanisms have distinct characteristics.', 7: 'Tribes use feathers.', 8: 'Cankers are most common on trees and shrubs under stress.', 9: 'Borage is a skeeter repellent.'}
| 7 |
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