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stringlengths 118
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stringlengths 111
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| conclusion
stringlengths 15
240
| question
stringlengths 14
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stringlengths 54
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stringlengths 51
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5,687 |
['We know that the claim that cheetahs are predatory animals is false.', 'If if some people believe that a human is formed when the sperm fertilizes the egg, then kinetic energy is the energy of motion, that is, the energy that all moving objects possess, then sexual temptation is very strong in our day and age.', 'Should it be the case that sexual temptation is very strong in our day and age, it follows that if if water is an electrical conductor, then nitric oxide attenuates the renal hemodynamic responses to increased sympathetic nerve activity, then most aquatic animals use surround water.', 'Assuming alcoholism can develop as early as adolescence and continue in older age groups, we know that if some people believe that a human is formed when the sperm fertilizes the egg, then kinetic energy is the energy of motion, that is, the energy that all moving objects possess.', 'Many people rightly believe that alcoholism can develop as early as adolescence and continue in older age groups.', "Whenever it is true that the claim that either cheetahs are predatory animals or if water is an electrical conductor, then nitric oxide attenuates the renal hemodynamic responses to increased sympathetic nerve activity does not reflect reality, 'desorption measures a greater regain at a given relative humidity' is true.", 'The statement, desorption measures a greater regain at a given relative humidity, does not hold.']
|
We know that the claim that cheetahs are predatory animals is false. If if some people believe that a human is formed when the sperm fertilizes the egg, then kinetic energy is the energy of motion, that is, the energy that all moving objects possess, then sexual temptation is very strong in our day and age. Should it be the case that sexual temptation is very strong in our day and age, it follows that if if water is an electrical conductor, then nitric oxide attenuates the renal hemodynamic responses to increased sympathetic nerve activity, then most aquatic animals use surround water. Assuming alcoholism can develop as early as adolescence and continue in older age groups, we know that if some people believe that a human is formed when the sperm fertilizes the egg, then kinetic energy is the energy of motion, that is, the energy that all moving objects possess. Many people rightly believe that alcoholism can develop as early as adolescence and continue in older age groups. Whenever it is true that the claim that either cheetahs are predatory animals or if water is an electrical conductor, then nitric oxide attenuates the renal hemodynamic responses to increased sympathetic nerve activity does not reflect reality, 'desorption measures a greater regain at a given relative humidity' is true. The statement, desorption measures a greater regain at a given relative humidity, does not hold.
|
We can assume that most aquatic animals use surround water.
|
Those that suggest most aquatic animals use surround water are wrong.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If (If [1], then [2].), then [0].). [SC1-2]
If [4], then [5]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Hypothetical Syllogism:
If (If [4], then [5].), then [8].
If [8], then (If (If [1], then [2].), then [0].).
Therefore, If (If [4], then [5].), then (If (If [1], then [2].), then [0].)..
[SC2-2]
Modus Ponens:
If [7], then (If [4], then [5].).
[7]
Therefore, If [4], then [5]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [2].). [SC1-2]
Not [3].
Therefore, If [1], then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If [1], then [2].).).), then [6].
Not [6].
Therefore, Either [3] or (If [1], then [2].)..
|
{0: 'Most aquatic animals use surround water.', 1: 'Water is an electrical conductor.', 2: 'Nitric oxide attenuates the renal hemodynamic responses to increased sympathetic nerve activity.', 3: 'Cheetahs are predatory animals.', 4: 'Some people believe that a human is formed when the sperm fertilizes the egg.', 5: 'Kinetic energy is the energy of motion, that is, the energy that all moving objects possess.', 6: 'Desorption measures a greater regain at a given relative humidity.', 7: 'Alcoholism can develop as early as adolescence and continue in older age groups.', 8: 'Sexual temptation is very strong in our day and age.'}
| 6 |
5,500 |
["Whenever it is true that nymphs are extremely beautiful females, 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' is true.", 'At least one of two things is true: most growth hormones stimulate root growth, or more carbon dioxide is produced than actually ends up in the atmosphere.', 'When most growth hormones stimulate root growth is true, it follows that human disturbances increase activities.', "So long as human disturbances increase activities, 'deer are herbivores and eat grass, leaves, shoots and bark off trees' is true.", "Given that deer are herbivores and eat grass, leaves, shoots and bark off trees, it can be inferred that if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false.", "At least one of two things is true: either natural language is everyone's preferred mode of communication or specific mechanisms play roles, or bees are a vital contributor to human life.", "Assuming either natural language is everyone's preferred mode of communication or specific mechanisms play roles, we know that if twin souls are the last two souls to individualize, then if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false.", "Should it be the case that bees are a vital contributor to human life, it follows that if twin souls are the last two souls to individualize, then if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false.", 'Once we know the claim that if more carbon dioxide is produced than actually ends up in the atmosphere, then twin souls are the last two souls to individualize does not reflect reality, we also know that funguses are located in public restrooms.', 'Provided that the claim that if more carbon dioxide is produced than actually ends up in the atmosphere, then twin souls are the last two souls to individualize does not reflect reality, we know that the statement, funguses are located in public restrooms, does not hold.']
|
Whenever it is true that nymphs are extremely beautiful females, 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' is true. At least one of two things is true: most growth hormones stimulate root growth, or more carbon dioxide is produced than actually ends up in the atmosphere. When most growth hormones stimulate root growth is true, it follows that human disturbances increase activities. So long as human disturbances increase activities, 'deer are herbivores and eat grass, leaves, shoots and bark off trees' is true. Given that deer are herbivores and eat grass, leaves, shoots and bark off trees, it can be inferred that if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false. At least one of two things is true: either natural language is everyone's preferred mode of communication or specific mechanisms play roles, or bees are a vital contributor to human life. Assuming either natural language is everyone's preferred mode of communication or specific mechanisms play roles, we know that if twin souls are the last two souls to individualize, then if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false. Should it be the case that bees are a vital contributor to human life, it follows that if twin souls are the last two souls to individualize, then if nymphs are extremely beautiful females, then the statement 'if opposition is when a planet is opposite the sun in our sky, then angel sharks live in environments' can be considered false. Once we know the claim that if more carbon dioxide is produced than actually ends up in the atmosphere, then twin souls are the last two souls to individualize does not reflect reality, we also know that funguses are located in public restrooms. Provided that the claim that if more carbon dioxide is produced than actually ends up in the atmosphere, then twin souls are the last two souls to individualize does not reflect reality, we know that the statement, funguses are located in public restrooms, does not hold.
|
The statement 'nymphs are extremely beautiful females' can be considered false.
|
The claim that some nymph has habits is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (If [1], then [2].).
If [0], then (Not (If [1], then [2].).). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [0], then (Not (If [1], then [2].).).). [SC2-2]
If [4], then (If [0], then (Not (If [1], then [2].).).). [SC3-2]
Therefore, If [0], then (Not (If [1], then [2].).)..
[SC1-2]
Constructive Dilemma:
Either [5] or [6].
If [5], then [3].
If [6], then [4]. [SC3-3]
Therefore, Either [3] or [4]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [6], then [4].).), then [11].
If (Not (If [6], then [4].).), then (Not [11].).
Therefore, If [6], then [4]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [7].
If [7], then (If [0], then (Not (If [1], then [2].).).).
Therefore, If [3], then (If [0], then (Not (If [1], then [2].).).)..
[SC3-2]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If [4], then (If [0], then (Not (If [1], then [2].).).).).
If [10], then (If [4], then (If [0], then (Not (If [1], then [2].).).).).
Therefore, If [4], then (If [0], then (Not (If [1], then [2].).).)..
|
{0: 'Nymphs are extremely beautiful females.', 1: 'Opposition is when a planet is opposite the sun in our sky.', 2: 'Angel sharks live in environments.', 3: 'Human disturbances increase activities.', 4: 'Twin souls are the last two souls to individualize.', 5: 'Most growth hormones stimulate root growth.', 6: 'More carbon dioxide is produced than actually ends up in the atmosphere.', 7: 'Deer are herbivores and eat grass, leaves, shoots and bark off trees.', 8: "Natural language is everyone's preferred mode of communication.", 9: 'Specific mechanisms play roles.', 10: 'Bees are a vital contributor to human life.', 11: 'Funguses are located in public restrooms.'}
| 6 |
5,332 |
["Whenever it is true that machine language is the basis for all computers of a certain type, 'most banana plants produce edible flowers' is true.", 'We know that either external hemorrhoids occur under the skin around the anal opening and are usually very painful or if most banana plants produce edible flowers, then acute injuries result from contact.', 'On the condition that ear protectors vary in the degree of protection given at different frequencies, it is definitely the case that it is a common misconception that external hemorrhoids occur under the skin around the anal opening and are usually very painful.', 'Provided that pigs can be of any starting weight at the time of weighing, we know that it is a common misconception that external hemorrhoids occur under the skin around the anal opening and are usually very painful.', 'Either one or both of these statements are true: ventilation is the breathing in of air or oxygen, or musical signal is a start and stop type of drive.', "So long as it is not true that if ventilation is the breathing in of air or oxygen, then ear protectors vary in the degree of protection given at different frequencies, 'if cages vary in size, then clouded leopards live in lowland tropical rainforests, but can also be found in dry woodlands' is true.", 'It is not true that if cages vary in size, then clouded leopards live in lowland tropical rainforests, but can also be found in dry woodlands.', "So long as plantations are monocultures and have nothing in common with the diversity of the rainforest, 'if musical signal is a start and stop type of drive, then pigs can be of any starting weight at the time of weighing' is true.", "The statement 'plantations are monocultures and have nothing in common with the diversity of the rainforest' is true."]
|
Whenever it is true that machine language is the basis for all computers of a certain type, 'most banana plants produce edible flowers' is true. We know that either external hemorrhoids occur under the skin around the anal opening and are usually very painful or if most banana plants produce edible flowers, then acute injuries result from contact. On the condition that ear protectors vary in the degree of protection given at different frequencies, it is definitely the case that it is a common misconception that external hemorrhoids occur under the skin around the anal opening and are usually very painful. Provided that pigs can be of any starting weight at the time of weighing, we know that it is a common misconception that external hemorrhoids occur under the skin around the anal opening and are usually very painful. Either one or both of these statements are true: ventilation is the breathing in of air or oxygen, or musical signal is a start and stop type of drive. So long as it is not true that if ventilation is the breathing in of air or oxygen, then ear protectors vary in the degree of protection given at different frequencies, 'if cages vary in size, then clouded leopards live in lowland tropical rainforests, but can also be found in dry woodlands' is true. It is not true that if cages vary in size, then clouded leopards live in lowland tropical rainforests, but can also be found in dry woodlands. So long as plantations are monocultures and have nothing in common with the diversity of the rainforest, 'if musical signal is a start and stop type of drive, then pigs can be of any starting weight at the time of weighing' is true. The statement 'plantations are monocultures and have nothing in common with the diversity of the rainforest' is true.
|
Assuming machine language is the basis for all computers of a certain type, we know that acute injuries result from contact.
|
It is not the case that if machine language is the basis for all computers of a certain type, then acute injuries result from contact.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [2], then [1].).
Not [3]. [SC2-2]
Therefore, If [2], then [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Not [3].).
If [5], then (Not [3].).
Therefore, Not [3]..
[SC1-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [4]. [SC2-4]
If [7], then [5]. [SC3-4]
Therefore, Either [4] or [5]..
[SC2-4]
Modus Tonens:
If (Not (If [6], then [4].).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, If [6], then [4]..
[SC3-4]
Modus Ponens:
If [8], then (If [7], then [5].).
[8]
Therefore, If [7], then [5]..
|
{0: 'Machine language is the basis for all computers of a certain type.', 1: 'Acute injuries result from contact.', 2: 'Most banana plants produce edible flowers.', 3: 'External hemorrhoids occur under the skin around the anal opening and are usually very painful.', 4: 'Ear protectors vary in the degree of protection given at different frequencies.', 5: 'Pigs can be of any starting weight at the time of weighing.', 6: 'Ventilation is the breathing in of air or oxygen.', 7: 'Musical signal is a start and stop type of drive.', 8: 'Plantations are monocultures and have nothing in common with the diversity of the rainforest.', 9: 'Cages vary in size.', 10: 'Clouded leopards live in lowland tropical rainforests, but can also be found in dry woodlands.'}
| 6 |
5,979 |
["Assuming many women are unduly concerned with their body images, we know that fish are one of Canada's most important natural resources.", "So long as osteoporosis is a disorder of older women, 'either trees to absorb sunlight or many women are unduly concerned with their body images' is true.", "Assuming those that suggest if trees to absorb sunlight, then fish are one of Canada's most important natural resources are wrong, we know that those that suggest either organizers have (part) nuclei or bedrooms have (part) ceilings are wrong.", 'Either some carapaces are part of ridleys or if most pregnant women have death, then rock climbing is a new and emerging sport for many athletes.', 'Should it be the case that some carapaces are part of ridleys, it follows that osteoporosis is a disorder of older women.', 'Assuming if most pregnant women have death, then rock climbing is a new and emerging sport for many athletes, we know that osteoporosis is a disorder of older women.', "Should it be the case that infrared light is emitted by an object because of what is happening at the atomic level, it follows that if those that suggest if trees to absorb sunlight, then fish are one of Canada's most important natural resources are wrong, then either organizers have (part) nuclei or bedrooms have (part) ceilings.", 'We know that at least one of two things is true: farmers are small scale household based cultivators, or water runoff is considered a non-point source since it transports soil, nutrients, and chemicals.', 'One may reasonably assume that if farmers are small scale household based cultivators, then infrared light is emitted by an object because of what is happening at the atomic level.', 'Provided that water runoff is considered a non-point source since it transports soil, nutrients, and chemicals, we know that infrared light is emitted by an object because of what is happening at the atomic level.']
|
Assuming many women are unduly concerned with their body images, we know that fish are one of Canada's most important natural resources. So long as osteoporosis is a disorder of older women, 'either trees to absorb sunlight or many women are unduly concerned with their body images' is true. Assuming those that suggest if trees to absorb sunlight, then fish are one of Canada's most important natural resources are wrong, we know that those that suggest either organizers have (part) nuclei or bedrooms have (part) ceilings are wrong. Either some carapaces are part of ridleys or if most pregnant women have death, then rock climbing is a new and emerging sport for many athletes. Should it be the case that some carapaces are part of ridleys, it follows that osteoporosis is a disorder of older women. Assuming if most pregnant women have death, then rock climbing is a new and emerging sport for many athletes, we know that osteoporosis is a disorder of older women. Should it be the case that infrared light is emitted by an object because of what is happening at the atomic level, it follows that if those that suggest if trees to absorb sunlight, then fish are one of Canada's most important natural resources are wrong, then either organizers have (part) nuclei or bedrooms have (part) ceilings. We know that at least one of two things is true: farmers are small scale household based cultivators, or water runoff is considered a non-point source since it transports soil, nutrients, and chemicals. One may reasonably assume that if farmers are small scale household based cultivators, then infrared light is emitted by an object because of what is happening at the atomic level. Provided that water runoff is considered a non-point source since it transports soil, nutrients, and chemicals, we know that infrared light is emitted by an object because of what is happening at the atomic level.
|
Many people rightly believe that fish are one of Canada's most important natural resources.
|
The claim that fish are one of Canada's most important natural resources does not correspond with reality.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [2].).
[3] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then [3].
If (If [7], then [8].), then [3].
Therefore, [3].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then (Either [4] or [5].). [SC1-2]
If (Not (If [1], then [0].).), then (Not (Either [4] or [5].).).
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [9], then (If (Not (If [1], then [0].).), then (Either [4] or [5].).).
[9] [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Either [4] or [5].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then [9].
If [11], then [9].
Therefore, [9].
|
{0: "Fish are one of Canada's most important natural resources.", 1: 'Trees to absorb sunlight.', 2: 'Many women are unduly concerned with their body images.', 3: 'Osteoporosis is a disorder of older women.', 4: 'Organizers have (part) nuclei.', 5: 'Bedrooms have (part) ceilings.', 6: 'Some carapaces are part of ridleys.', 7: 'Most pregnant women have death.', 8: 'Rock climbing is a new and emerging sport for many athletes.', 9: 'Infrared light is emitted by an object because of what is happening at the atomic level.', 10: 'Farmers are small scale household based cultivators.', 11: 'Water runoff is considered a non-point source since it transports soil, nutrients, and chemicals.'}
| 6 |
5,817 |
['Once we know energy is the ability to do work, to make something move, we also know that waves can exist at the same place at the same time.', 'Assuming decagons are among the regular polygons that can be inscribed in a given circle, we know that waves can exist at the same place at the same time.', "It is a fact that either radiolarians inhabit open water throughout the oceans or leisure is America's number-one economic activity.", 'On the condition that radiolarians inhabit open water throughout the oceans, it is definitely the case that either energy is the ability to do work, to make something move or decagons are among the regular polygons that can be inscribed in a given circle.', "One may reasonably assume that if leisure is America's number-one economic activity, then an equalitarianism is a doctrine.", 'On the condition that mental states are actually brain states, it is definitely the case that if an equalitarianism is a doctrine, then if children can face increased health risks when they immigrate, then monotremes eat invertebrates, which they search for at night.', 'Those that suggest mental states are actually brain states are right.', "So long as the claim that if if children can face increased health risks when they immigrate, then monotremes eat invertebrates, which they search for at night, then either energy is the ability to do work, to make something move or decagons are among the regular polygons that can be inscribed in a given circle does not reflect reality, 'either melanin is the sun umbrella of our skin, melanin is the skin's natural defense against UV rays or representatives share knowledge' is true.", "The notion that 'either melanin is the sun umbrella of our skin, melanin is the skin's natural defense against UV rays or representatives share knowledge' is untrue."]
|
Once we know energy is the ability to do work, to make something move, we also know that waves can exist at the same place at the same time. Assuming decagons are among the regular polygons that can be inscribed in a given circle, we know that waves can exist at the same place at the same time. It is a fact that either radiolarians inhabit open water throughout the oceans or leisure is America's number-one economic activity. On the condition that radiolarians inhabit open water throughout the oceans, it is definitely the case that either energy is the ability to do work, to make something move or decagons are among the regular polygons that can be inscribed in a given circle. One may reasonably assume that if leisure is America's number-one economic activity, then an equalitarianism is a doctrine. On the condition that mental states are actually brain states, it is definitely the case that if an equalitarianism is a doctrine, then if children can face increased health risks when they immigrate, then monotremes eat invertebrates, which they search for at night. Those that suggest mental states are actually brain states are right. So long as the claim that if if children can face increased health risks when they immigrate, then monotremes eat invertebrates, which they search for at night, then either energy is the ability to do work, to make something move or decagons are among the regular polygons that can be inscribed in a given circle does not reflect reality, 'either melanin is the sun umbrella of our skin, melanin is the skin's natural defense against UV rays or representatives share knowledge' is true. The notion that 'either melanin is the sun umbrella of our skin, melanin is the skin's natural defense against UV rays or representatives share knowledge' is untrue.
|
The statement 'waves can exist at the same place at the same time' is true.
|
Most waves are caused by displacement.
|
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].
If [3], then (Either [1] or [2].).
If [4], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC3-2]
Hypothetical Syllogism:
If [4], then [5].
If [5], then (Either [1] or [2].). [SC2-3]
Therefore, If [4], then (Either [1] or [2].)..
[SC2-3]
Hypothetical Syllogism:
If [5], then (If [6], then [7].). [SC1-4]
If (If [6], then [7].), then (Either [1] or [2].). [SC2-4]
Therefore, If [5], then (Either [1] or [2].)..
[SC1-4]
Modus Ponens:
If [8], then (If [5], then (If [6], then [7].).).
[8]
Therefore, If [5], then (If [6], then [7].)..
[SC2-4]
Modus Tonens:
If (Not (If (If [6], then [7].), then (Either [1] or [2].).).), then (Either [9] or [10].).
Not (Either [9] or [10].).
Therefore, If (If [6], then [7].), then (Either [1] or [2].)..
|
{0: 'Waves can exist at the same place at the same time.', 1: 'Energy is the ability to do work, to make something move.', 2: 'Decagons are among the regular polygons that can be inscribed in a given circle.', 3: 'Radiolarians inhabit open water throughout the oceans.', 4: "Leisure is America's number-one economic activity.", 5: 'An equalitarianism is a doctrine.', 6: 'Children can face increased health risks when they immigrate.', 7: 'Monotremes eat invertebrates, which they search for at night.', 8: 'Mental states are actually brain states.', 9: "Melanin is the sun umbrella of our skin, melanin is the skin's natural defense against UV rays.", 10: 'Representatives share knowledge.'}
| 6 |
5,620 |
['Either one or both of these statements are true: bread is baked in outdoor domed ovens just as it was for hundreds of years, or some plants have inflorescences.', 'It is rational to believe that either external control means avoiding control by others or if land trusts are tools people can use, then occasional storms can produce very heavy rainfall.', 'One may reasonably assume that if external control means avoiding control by others, then if bread is baked in outdoor domed ovens just as it was for hundreds of years, then the statement that states many straight parents abuse their children is false.', 'One may reasonably assume that if if land trusts are tools people can use, then occasional storms can produce very heavy rainfall, then if bread is baked in outdoor domed ovens just as it was for hundreds of years, then the statement that states many straight parents abuse their children is false.', "Whenever it is true that buds are small and ovoid or conical in outline, 'if time trials are often a part of a stage race, for example the Tour de France, then if some plants have inflorescences, then the statement that states many straight parents abuse their children is false' is true.", 'Given that it is not true that time trials are often a part of a stage race, for example the Tour de France, it can be inferred that larger toads eat everything from insects to other amphibians, to mice and fish.', 'When it is not true that time trials are often a part of a stage race, for example the Tour de France is true, it follows that it is a common misconception that larger toads eat everything from insects to other amphibians, to mice and fish.', "It is a fact that either labor unions represent workers and seek to protect members' interests through collective bargaining or buds are small and ovoid or conical in outline.", "The claim that labor unions represent workers and seek to protect members' interests through collective bargaining does not correspond with reality."]
|
Either one or both of these statements are true: bread is baked in outdoor domed ovens just as it was for hundreds of years, or some plants have inflorescences. It is rational to believe that either external control means avoiding control by others or if land trusts are tools people can use, then occasional storms can produce very heavy rainfall. One may reasonably assume that if external control means avoiding control by others, then if bread is baked in outdoor domed ovens just as it was for hundreds of years, then the statement that states many straight parents abuse their children is false. One may reasonably assume that if if land trusts are tools people can use, then occasional storms can produce very heavy rainfall, then if bread is baked in outdoor domed ovens just as it was for hundreds of years, then the statement that states many straight parents abuse their children is false. Whenever it is true that buds are small and ovoid or conical in outline, 'if time trials are often a part of a stage race, for example the Tour de France, then if some plants have inflorescences, then the statement that states many straight parents abuse their children is false' is true. Given that it is not true that time trials are often a part of a stage race, for example the Tour de France, it can be inferred that larger toads eat everything from insects to other amphibians, to mice and fish. When it is not true that time trials are often a part of a stage race, for example the Tour de France is true, it follows that it is a common misconception that larger toads eat everything from insects to other amphibians, to mice and fish. It is a fact that either labor unions represent workers and seek to protect members' interests through collective bargaining or buds are small and ovoid or conical in outline. The claim that labor unions represent workers and seek to protect members' interests through collective bargaining does not correspond with reality.
|
The statement that states many straight parents abuse their children is false.
|
The statement that states many straight parents abuse their children is false.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (If [1], then (Not [0].).).
If (If [4], then [5].), then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Ponens:
If [6], then (If [2], then (Not [0].).). [SC1-2]
[6] [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (If [6], then (If [2], then (Not [0].).).).
[8] [SC2-3]
Therefore, If [6], then (If [2], then (Not [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [8].
Not [9].
Therefore, [8].
[SC2-2]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].).
Therefore, [6].
|
{0: 'Many straight parents abuse their children.', 1: 'Bread is baked in outdoor domed ovens just as it was for hundreds of years.', 2: 'Some plants have inflorescences.', 3: 'External control means avoiding control by others.', 4: 'Land trusts are tools people can use.', 5: 'Occasional storms can produce very heavy rainfall.', 6: 'Time trials are often a part of a stage race, for example the Tour de France.', 7: 'Larger toads eat everything from insects to other amphibians, to mice and fish.', 8: 'Buds are small and ovoid or conical in outline.', 9: "Labor unions represent workers and seek to protect members' interests through collective bargaining."}
| 6 |
5,814 |
["So long as breast cancer is less common in younger women, but it is more likely to be aggressive, 'some dioceses have no cathedral' is true.", 'We know that either diabetes can damage tiny blood vessels in the retina of the eye or if sexual assaults are diseases, then climate change poses one of the greatest moral challenges humanity has ever faced.', 'When if sexual assaults are diseases, then climate change poses one of the greatest moral challenges humanity has ever faced is true, it follows that it is not the case that some dioceses have no cathedral.', 'The claim that ketamine inhibits nitric oxide production in activated macrophages does not reflect reality.', 'It is rational to believe that either some beetles invade homes or cisco is the nonpareil of networking franchises.', 'One may reasonably assume that if some beetles invade homes, then if diabetes can damage tiny blood vessels in the retina of the eye, then it is not the case that some dioceses have no cathedral.', "Whenever it is true that cisco is the nonpareil of networking franchises, 'if diabetes can damage tiny blood vessels in the retina of the eye, then it is not the case that some dioceses have no cathedral' is true.", "When the statement 'either ketamine inhibits nitric oxide production in activated macrophages or if the notion that 'sweat is singles' is untrue, then breast cancer is less common in younger women, but it is more likely to be aggressive' can be considered false is true, it follows that if space is an important component in the growth of any economic structure, then physical activity helps with weight loss and self-esteem in several ways.", "Provided that the statement 'either ketamine inhibits nitric oxide production in activated macrophages or if the notion that 'sweat is singles' is untrue, then breast cancer is less common in younger women, but it is more likely to be aggressive' can be considered false, we know that it is not the case that if space is an important component in the growth of any economic structure, then physical activity helps with weight loss and self-esteem in several ways."]
|
So long as breast cancer is less common in younger women, but it is more likely to be aggressive, 'some dioceses have no cathedral' is true. We know that either diabetes can damage tiny blood vessels in the retina of the eye or if sexual assaults are diseases, then climate change poses one of the greatest moral challenges humanity has ever faced. When if sexual assaults are diseases, then climate change poses one of the greatest moral challenges humanity has ever faced is true, it follows that it is not the case that some dioceses have no cathedral. The claim that ketamine inhibits nitric oxide production in activated macrophages does not reflect reality. It is rational to believe that either some beetles invade homes or cisco is the nonpareil of networking franchises. One may reasonably assume that if some beetles invade homes, then if diabetes can damage tiny blood vessels in the retina of the eye, then it is not the case that some dioceses have no cathedral. Whenever it is true that cisco is the nonpareil of networking franchises, 'if diabetes can damage tiny blood vessels in the retina of the eye, then it is not the case that some dioceses have no cathedral' is true. When the statement 'either ketamine inhibits nitric oxide production in activated macrophages or if the notion that 'sweat is singles' is untrue, then breast cancer is less common in younger women, but it is more likely to be aggressive' can be considered false is true, it follows that if space is an important component in the growth of any economic structure, then physical activity helps with weight loss and self-esteem in several ways. Provided that the statement 'either ketamine inhibits nitric oxide production in activated macrophages or if the notion that 'sweat is singles' is untrue, then breast cancer is less common in younger women, but it is more likely to be aggressive' can be considered false, we know that it is not the case that if space is an important component in the growth of any economic structure, then physical activity helps with weight loss and self-esteem in several ways.
|
It is rational to agree that sweat is singles.
|
The notion that 'sweat is singles' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [5]. [SC1-2]
If [5], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not [0].), then [5].). [SC1-3]
Not [6].
Therefore, If (Not [0].), then [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (If (Not [0].), then [5].).).), then (If [9], then [10].).
If (Not (Either [6] or (If (Not [0].), then [5].).).), then (Not (If [9], then [10].).).
Therefore, Either [6] or (If (Not [0].), then [5].)..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (Not [1].). [SC2-2]
If (If [3], then [4].), then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [2], then (Not [1].).).
If [8], then (If [2], then (Not [1].).).
Therefore, If [2], then (Not [1].)..
|
{0: 'Sweat is singles.', 1: 'Some dioceses have no cathedral.', 2: 'Diabetes can damage tiny blood vessels in the retina of the eye.', 3: 'Sexual assaults are diseases.', 4: 'Climate change poses one of the greatest moral challenges humanity has ever faced.', 5: 'Breast cancer is less common in younger women, but it is more likely to be aggressive.', 6: 'Ketamine inhibits nitric oxide production in activated macrophages.', 7: 'Some beetles invade homes.', 8: 'Cisco is the nonpareil of networking franchises.', 9: 'Space is an important component in the growth of any economic structure.', 10: 'Physical activity helps with weight loss and self-esteem in several ways.'}
| 6 |
5,516 |
["When the statement that 'either either female pandas eat bamboo leaves or distillers work with electricity and do build up heat or some water turns into ice' is incorrect is true, it follows that trackballs are input devices.", 'Assuming some people mistakenly believe that if either female pandas eat bamboo leaves or distillers work with electricity and do build up heat, then massive snowstorms affect nations, we know that it is not true that gold often acts as a hedge against inflation.', 'At least one of two things is true: topology defines the relationships of network features such as connectivity and directionality, or sheep live in meadows.', "So long as topology defines the relationships of network features such as connectivity and directionality, 'if some water turns into ice, then massive snowstorms affect nations' is true.", 'Provided that sheep live in meadows, we know that if some water turns into ice, then massive snowstorms affect nations.', "Given that humans can carry only about three-quarters of their body weight, it can be inferred that if the statement that 'either either female pandas eat bamboo leaves or distillers work with electricity and do build up heat or some water turns into ice' is incorrect, then we know that the claim that trackballs are input devices is false.", 'The idea that humans can carry only about three-quarters of their body weight is true.', 'On the condition that the claim that if some people mistakenly believe that if either female pandas eat bamboo leaves or distillers work with electricity and do build up heat, then massive snowstorms affect nations, then gold often acts as a hedge against inflation is false, it is definitely the case that alpine tundra is the area in the mountains above treeline.', "The statement 'alpine tundra is the area in the mountains above treeline' can be considered false."]
|
When the statement that 'either either female pandas eat bamboo leaves or distillers work with electricity and do build up heat or some water turns into ice' is incorrect is true, it follows that trackballs are input devices. Assuming some people mistakenly believe that if either female pandas eat bamboo leaves or distillers work with electricity and do build up heat, then massive snowstorms affect nations, we know that it is not true that gold often acts as a hedge against inflation. At least one of two things is true: topology defines the relationships of network features such as connectivity and directionality, or sheep live in meadows. So long as topology defines the relationships of network features such as connectivity and directionality, 'if some water turns into ice, then massive snowstorms affect nations' is true. Provided that sheep live in meadows, we know that if some water turns into ice, then massive snowstorms affect nations. Given that humans can carry only about three-quarters of their body weight, it can be inferred that if the statement that 'either either female pandas eat bamboo leaves or distillers work with electricity and do build up heat or some water turns into ice' is incorrect, then we know that the claim that trackballs are input devices is false. The idea that humans can carry only about three-quarters of their body weight is true. On the condition that the claim that if some people mistakenly believe that if either female pandas eat bamboo leaves or distillers work with electricity and do build up heat, then massive snowstorms affect nations, then gold often acts as a hedge against inflation is false, it is definitely the case that alpine tundra is the area in the mountains above treeline. The statement 'alpine tundra is the area in the mountains above treeline' can be considered false.
|
massive snowstorms affect nations.
|
Massive snowstorms affect nations.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [6].
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [6].). [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-2]
Modus Ponens:
If [9], then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [6].).).
[9]
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then (Not [6].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [7]. [SC1-2]
If (Not (If (Either [1] or [2].), then [0].).), then (Not [7].).
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [7].).), then [8].
Not [8].
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [7]..
[SC3-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [3], then [0].).
If [5], then (If [3], then [0].).
Therefore, If [3], then [0]..
|
{0: 'Massive snowstorms affect nations.', 1: 'Female pandas eat bamboo leaves.', 2: 'Distillers work with electricity and do build up heat.', 3: 'Some water turns into ice.', 4: 'Topology defines the relationships of network features such as connectivity and directionality.', 5: 'Sheep live in meadows.', 6: 'Trackballs are input devices.', 7: 'Gold often acts as a hedge against inflation.', 8: 'Alpine tundra is the area in the mountains above treeline.', 9: 'Humans can carry only about three-quarters of their body weight.'}
| 6 |
5,518 |
['Should it be the case that people of color appear in popular and news media and occupy positions of power and status, it follows that if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis.', 'Provided that if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, we know that some manure contains nutrients.', 'Given that those that suggest if if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, then it is not true that some manure contains nutrients are wrong, it can be inferred that some scientists propose certain gene therapies for the treatment of sickle cell disease.', 'When the claim that if socialism means far more individual liberty than workers can possibly have under capitalism, then if those that suggest if if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, then it is not true that some manure contains nutrients are wrong, then the claim that some scientists propose certain gene therapies for the treatment of sickle cell disease does not correspond with reality does not correspond with reality is true, it follows that bond graphs are a unique way of describing dynamic models.', 'Those that suggest bond graphs are a unique way of describing dynamic models are wrong.', 'We know that either a hand pump is a pump or socialism means far more individual liberty than workers can possibly have under capitalism.', 'The claim that a hand pump is a pump does not correspond with reality.']
|
Should it be the case that people of color appear in popular and news media and occupy positions of power and status, it follows that if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis. Provided that if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, we know that some manure contains nutrients. Given that those that suggest if if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, then it is not true that some manure contains nutrients are wrong, it can be inferred that some scientists propose certain gene therapies for the treatment of sickle cell disease. When the claim that if socialism means far more individual liberty than workers can possibly have under capitalism, then if those that suggest if if moulds are disgust, then indicators are chemicals which change colour when they are put into acids or alkalis, then it is not true that some manure contains nutrients are wrong, then the claim that some scientists propose certain gene therapies for the treatment of sickle cell disease does not correspond with reality does not correspond with reality is true, it follows that bond graphs are a unique way of describing dynamic models. Those that suggest bond graphs are a unique way of describing dynamic models are wrong. We know that either a hand pump is a pump or socialism means far more individual liberty than workers can possibly have under capitalism. The claim that a hand pump is a pump does not correspond with reality.
|
The statement 'people of color appear in popular and news media and occupy positions of power and status' can be considered false.
|
The claim that people of color comprise two-thirds of all prisoners nationally has no merit.
|
Uncertain
|
Modus Tonens:
If [0], then (If [1], then [2].).
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (If [1], then [2].), then [3].
If (If [1], then [2].), then (Not [3].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (Not [3].).).), then [4].
If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not [4].). [SC2-3]
Therefore, If (If [1], then [2].), then (Not [3].)..
[SC2-3]
Modus Ponens:
If [5], then (If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not [4].).). [SC1-4]
[5] [SC2-4]
Therefore, If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not [4].)..
[SC1-4]
Modus Tonens:
If (Not (If [5], then (If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not [4].).).).), then [7].
Not [7].
Therefore, If [5], then (If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not [4].).)..
[SC2-4]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
|
{0: 'People of color appear in popular and news media and occupy positions of power and status.', 1: 'Moulds are disgust.', 2: 'Indicators are chemicals which change colour when they are put into acids or alkalis.', 3: 'Some manure contains nutrients.', 4: 'Some scientists propose certain gene therapies for the treatment of sickle cell disease.', 5: 'Socialism means far more individual liberty than workers can possibly have under capitalism.', 6: 'A hand pump is a pump.', 7: 'Bond graphs are a unique way of describing dynamic models.'}
| 6 |
5,940 |
["The notion that 'either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues' is untrue.", "If it is not the case that if the statement that states either either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues or those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong is false, then the notion that 'sugar is a crystalline solid but comes from plants, sugar cane or sugar beets' is untrue, then fungal infections can be hard to treat and potentially deadly.", 'Those that suggest fungal infections can be hard to treat and potentially deadly are wrong.', 'Given that it is a common misconception that if the statement that states either either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues or those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong is false, then sugar is a crystalline solid but comes from plants, sugar cane or sugar beets, it can be inferred that lancelets also lack appendages and can move only by bending their bodies back and forth.', 'Once we know lancelets also lack appendages and can move only by bending their bodies back and forth, we also know that allergies can cause mild symptoms like sneezing, runny nose and itchy eyes.', 'At least one of two things is true: a factorial is a product, or specimens have shapes.', "When a factorial is a product is true, it follows that the notion that 'allergies can cause mild symptoms like sneezing, runny nose and itchy eyes' is untrue.", "Given that specimens have shapes, it can be inferred that the notion that 'allergies can cause mild symptoms like sneezing, runny nose and itchy eyes' is untrue."]
|
The notion that 'either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues' is untrue. If it is not the case that if the statement that states either either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues or those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong is false, then the notion that 'sugar is a crystalline solid but comes from plants, sugar cane or sugar beets' is untrue, then fungal infections can be hard to treat and potentially deadly. Those that suggest fungal infections can be hard to treat and potentially deadly are wrong. Given that it is a common misconception that if the statement that states either either warm baths relax muscles, while cool baths stimulate the body or copper is an essential trace mineral present in all body tissues or those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong is false, then sugar is a crystalline solid but comes from plants, sugar cane or sugar beets, it can be inferred that lancelets also lack appendages and can move only by bending their bodies back and forth. Once we know lancelets also lack appendages and can move only by bending their bodies back and forth, we also know that allergies can cause mild symptoms like sneezing, runny nose and itchy eyes. At least one of two things is true: a factorial is a product, or specimens have shapes. When a factorial is a product is true, it follows that the notion that 'allergies can cause mild symptoms like sneezing, runny nose and itchy eyes' is untrue. Given that specimens have shapes, it can be inferred that the notion that 'allergies can cause mild symptoms like sneezing, runny nose and itchy eyes' is untrue.
|
Those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong.
|
Those that suggest either felines have (part) nuclei or beta software is software that is being tested to identify bugs are wrong.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Not (Either [0] or [1].).). [SC1-1]
Not (Either [2] or [3].).
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then [4]. [SC1-2]
If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then (Not [4].). [SC2-2]
Therefore, Either (Either [2] or [3].) or (Not (Either [0] or [1].).)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then [4].).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then [4]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then [4].).), then [7].
If [7], then [6].
Therefore, If (Not (If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then [4].).), then [6]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [6].).
If [9], then (Not [6].).
Therefore, Not [6]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then (Not [4].).).), then [5].
Not [5].
Therefore, If (Not (Either (Either [2] or [3].) or (Not (Either [0] or [1].).).).), then (Not [4].)..
|
{0: 'Felines have (part) nuclei.', 1: 'Beta software is software that is being tested to identify bugs.', 2: 'Warm baths relax muscles, while cool baths stimulate the body.', 3: 'Copper is an essential trace mineral present in all body tissues.', 4: 'Sugar is a crystalline solid but comes from plants, sugar cane or sugar beets.', 5: 'Fungal infections can be hard to treat and potentially deadly.', 6: 'Allergies can cause mild symptoms like sneezing, runny nose and itchy eyes.', 7: 'Lancelets also lack appendages and can move only by bending their bodies back and forth.', 8: 'A factorial is a product.', 9: 'Specimens have shapes.'}
| 6 |
5,113 |
["So long as the statement that states either obesity is a big subject, with evolutionary, genetic, biochemical, and cultural components or kudus prefer savanna is false, 'cells are lysed and digested with trypsin to give peptide fragments' is true.", "The statement 'cells are lysed and digested with trypsin to give peptide fragments' can be considered false.", "Should it be the case that some bacteria cause food to spoil, it follows that if obesity is a big subject, with evolutionary, genetic, biochemical, and cultural components, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect.", 'It is a fact that either most wings have flight feathers or either termites swarm only in large colonies or animals range through all heights in the forest.', "Given that either termites swarm only in large colonies or animals range through all heights in the forest, it can be inferred that if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect.", "Provided that the statement 'some bacteria cause food to spoil' can be considered false, we know that sleeping can involve dreaming.", "Once we know the statement 'some bacteria cause food to spoil' can be considered false, we also know that the statement 'sleeping can involve dreaming' can be considered false.", "Should it be the case that those that suggest if most wings have flight feathers, then if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect are wrong, it follows that either hybrids combine a small combustion engine with an electric battery or authors report similar protective effects.", "Should it be the case that those that suggest if most wings have flight feathers, then if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect are wrong, it follows that the claim that either hybrids combine a small combustion engine with an electric battery or authors report similar protective effects does not correspond with reality."]
|
So long as the statement that states either obesity is a big subject, with evolutionary, genetic, biochemical, and cultural components or kudus prefer savanna is false, 'cells are lysed and digested with trypsin to give peptide fragments' is true. The statement 'cells are lysed and digested with trypsin to give peptide fragments' can be considered false. Should it be the case that some bacteria cause food to spoil, it follows that if obesity is a big subject, with evolutionary, genetic, biochemical, and cultural components, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect. It is a fact that either most wings have flight feathers or either termites swarm only in large colonies or animals range through all heights in the forest. Given that either termites swarm only in large colonies or animals range through all heights in the forest, it can be inferred that if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect. Provided that the statement 'some bacteria cause food to spoil' can be considered false, we know that sleeping can involve dreaming. Once we know the statement 'some bacteria cause food to spoil' can be considered false, we also know that the statement 'sleeping can involve dreaming' can be considered false. Should it be the case that those that suggest if most wings have flight feathers, then if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect are wrong, it follows that either hybrids combine a small combustion engine with an electric battery or authors report similar protective effects. Should it be the case that those that suggest if most wings have flight feathers, then if kudus prefer savanna, then the statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect are wrong, it follows that the claim that either hybrids combine a small combustion engine with an electric battery or authors report similar protective effects does not correspond with reality.
|
The statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' is incorrect.
|
The statement that 'good health depends a lot more on prevention and lifestyle choices than on treatment' 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 [3].
Not [3].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [7], then (If [1], then (Not [0].).).
[7] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [7].), then [10].
If (Not [7].), then (Not [10].).
Therefore, [7].
[SC3-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If [2], then (Not [0].).). [SC2-2]
If (Either [5] or [6].), then (If [2], then (Not [0].).).
Therefore, If [2], then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [2], then (Not [0].).).).), then (Either [8] or [9].).
If (Not (If [4], then (If [2], then (Not [0].).).).), then (Not (Either [8] or [9].).).
Therefore, If [4], then (If [2], then (Not [0].).)..
|
{0: 'Good health depends a lot more on prevention and lifestyle choices than on treatment.', 1: 'Obesity is a big subject, with evolutionary, genetic, biochemical, and cultural components.', 2: 'Kudus prefer savanna.', 3: 'Cells are lysed and digested with trypsin to give peptide fragments.', 4: 'Most wings have flight feathers.', 5: 'Termites swarm only in large colonies.', 6: 'Animals range through all heights in the forest.', 7: 'Some bacteria cause food to spoil.', 8: 'Hybrids combine a small combustion engine with an electric battery.', 9: 'Authors report similar protective effects.', 10: 'Sleeping can involve dreaming.'}
| 6 |
5,612 |
["One may reasonably assume that if the statement 'if most spruces have height, then circumcision imposes the beliefs of one person unto another' can be considered false, then sulfonamides help control coccidiosis, and nitrofurans have limited effect on enteritis.", 'Either some ungulates find protection in herds as they graze throughout the year or if sulfonamides help control coccidiosis, and nitrofurans have limited effect on enteritis, then scent glands produce strong musky odor.', 'Provided that scent glands produce strong musky odor, we know that some membranous flaps protect ears.', 'The claim that some membranous flaps protect ears does not correspond with reality.', 'Either some organisms show types or steps involve reaction.', "Assuming some organisms show types, we know that the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect.", "Whenever it is true that the claim that if steps involve reaction, then the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect is false, 'telemetry is remote data acquisition' is true.", "Provided that the claim that if steps involve reaction, then the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect is false, we know that the claim that telemetry is remote data acquisition has no merit."]
|
One may reasonably assume that if the statement 'if most spruces have height, then circumcision imposes the beliefs of one person unto another' can be considered false, then sulfonamides help control coccidiosis, and nitrofurans have limited effect on enteritis. Either some ungulates find protection in herds as they graze throughout the year or if sulfonamides help control coccidiosis, and nitrofurans have limited effect on enteritis, then scent glands produce strong musky odor. Provided that scent glands produce strong musky odor, we know that some membranous flaps protect ears. The claim that some membranous flaps protect ears does not correspond with reality. Either some organisms show types or steps involve reaction. Assuming some organisms show types, we know that the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect. Whenever it is true that the claim that if steps involve reaction, then the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect is false, 'telemetry is remote data acquisition' is true. Provided that the claim that if steps involve reaction, then the statement that 'some ungulates find protection in herds as they graze throughout the year' is incorrect is false, we know that the claim that telemetry is remote data acquisition has no merit.
|
Provided that most spruces have height, we know that circumcision imposes the beliefs of one person unto another
|
The notion that 'if most spruces have height, then circumcision imposes the beliefs of one person unto another' is untrue.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [2], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [2], then [3].).
Not [5]. [SC2-3]
Therefore, If [2], then [3]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].). [SC3-4]
Therefore, Not [5]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [7], then (Not [5].).).), then [8].
If (Not (If [7], then (Not [5].).).), then (Not [8].).
Therefore, If [7], then (Not [5].)..
[SC2-2]
Modus Tonens:
If [3], then [4].
Not [4].
Therefore, Not [3]..
|
{0: 'Most spruces have height.', 1: 'Circumcision imposes the beliefs of one person unto another.', 2: 'Sulfonamides help control coccidiosis, and nitrofurans have limited effect on enteritis.', 3: 'Scent glands produce strong musky odor.', 4: 'Some membranous flaps protect ears.', 5: 'Some ungulates find protection in herds as they graze throughout the year.', 6: 'Some organisms show types.', 7: 'Steps involve reaction.', 8: 'Telemetry is remote data acquisition.'}
| 6 |
5,037 |
['It is not the case that a wet dream is a dream.', 'Once we know it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, we also know that handguns have one purpose to kill a human being.', 'On the condition that the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, it is definitely the case that the claim that if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics does not reflect reality.', 'At least one of two things is true: muscular hypertrophy surrounding the narrowed lumen indents the stomach, causing concave defects, or death usually seals personal choices made long before the hour of death.', 'One may reasonably assume that if muscular hypertrophy surrounding the narrowed lumen indents the stomach, causing concave defects, then if handguns have one purpose to kill a human being, then a hypochondriasis is anxiety.', 'When death usually seals personal choices made long before the hour of death is true, it follows that if handguns have one purpose to kill a human being, then a hypochondriasis is anxiety.', 'Either if molluscs have a circulatory system that transports nutrients and oxygen, then smart cards look like credit cards, but they are embedded with microchips or either gophers can collect large hoards or nonfiction is prose.', 'When if molluscs have a circulatory system that transports nutrients and oxygen, then smart cards look like credit cards, but they are embedded with microchips is true, it follows that if the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, then if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics.', 'Assuming either gophers can collect large hoards or nonfiction is prose, we know that if the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, then if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics.']
|
It is not the case that a wet dream is a dream. Once we know it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, we also know that handguns have one purpose to kill a human being. On the condition that the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, it is definitely the case that the claim that if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics does not reflect reality. At least one of two things is true: muscular hypertrophy surrounding the narrowed lumen indents the stomach, causing concave defects, or death usually seals personal choices made long before the hour of death. One may reasonably assume that if muscular hypertrophy surrounding the narrowed lumen indents the stomach, causing concave defects, then if handguns have one purpose to kill a human being, then a hypochondriasis is anxiety. When death usually seals personal choices made long before the hour of death is true, it follows that if handguns have one purpose to kill a human being, then a hypochondriasis is anxiety. Either if molluscs have a circulatory system that transports nutrients and oxygen, then smart cards look like credit cards, but they are embedded with microchips or either gophers can collect large hoards or nonfiction is prose. When if molluscs have a circulatory system that transports nutrients and oxygen, then smart cards look like credit cards, but they are embedded with microchips is true, it follows that if the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, then if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics. Assuming either gophers can collect large hoards or nonfiction is prose, we know that if the claim that if it is a common misconception that either a wet dream is a dream or cleanliness is very important in a child care setting, then the claim that a hypochondriasis is anxiety is false has no merit, then if fobs can have phases and weights, then many doctors also recommend prophylactic antibiotics.
|
Many people rightly believe that cleanliness is very important in a child care setting.
|
Many people rightly believe that cleanliness is very important in a child care setting.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [2]. [SC1-2]
If (Not (Either [1] or [0].).), then (Not [2].). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or [0].).), then [3].
If [3], then [2]. [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then [2].).
If [7], then (If [3], then [2].).
Therefore, If [3], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then (If [4], then [5].). [SC1-3]
If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then (Not (If [4], then [5].).).
Therefore, If (Not (Either [1] or [0].).), then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or (Either [10] or [11].).
If (If [8], then [9].), then (If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then (If [4], then [5].).).
If (Either [10] or [11].), then (If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then (If [4], then [5].).).
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then (If [4], then [5].)..
|
{0: 'Cleanliness is very important in a child care setting.', 1: 'A wet dream is a dream.', 2: 'A hypochondriasis is anxiety.', 3: 'Handguns have one purpose to kill a human being.', 4: 'Fobs can have phases and weights.', 5: 'Many doctors also recommend prophylactic antibiotics.', 6: 'Muscular hypertrophy surrounding the narrowed lumen indents the stomach, causing concave defects.', 7: 'Death usually seals personal choices made long before the hour of death.', 8: 'Molluscs have a circulatory system that transports nutrients and oxygen.', 9: 'Smart cards look like credit cards, but they are embedded with microchips.', 10: 'Gophers can collect large hoards.', 11: 'Nonfiction is prose.'}
| 6 |
5,894 |
['At least one of two things is true: tsunamis can occur in any of the oceanic regions, but are most common in the Pacific Ocean, or faith is the powerful ability to do great things.', 'On the condition that tsunamis can occur in any of the oceanic regions, but are most common in the Pacific Ocean, it is definitely the case that if it is a common misconception that either most protists have contractile vacuoles or many people associate paganism with devil worship, then horses add body fat from front to rear and top to bottom.', 'If faith is the powerful ability to do great things, then if it is a common misconception that either most protists have contractile vacuoles or many people associate paganism with devil worship, then horses add body fat from front to rear and top to bottom.', 'There is good reason to believe that either earth is the creation of balance or barred owls are very vocal birds, often calling to one another at night, sometimes during the day.', 'On the condition that earth is the creation of balance, it is definitely the case that the statement that states horses add body fat from front to rear and top to bottom is false.', 'It is a fact that either either squirrels require diets or whales live in water temperature or runways are busy places, even when there are no planes around.', 'On the condition that either squirrels require diets or whales live in water temperature, it is definitely the case that poverty is as much a human rights issue as arbitrary arrest.', 'Once we know runways are busy places, even when there are no planes around, we also know that if barred owls are very vocal birds, often calling to one another at night, sometimes during the day, then the statement that states horses add body fat from front to rear and top to bottom is false.', 'Should it be the case that poverty is as much a human rights issue as arbitrary arrest, it follows that rage is rock bands.', 'The statement that states rage is rock bands is false.']
|
At least one of two things is true: tsunamis can occur in any of the oceanic regions, but are most common in the Pacific Ocean, or faith is the powerful ability to do great things. On the condition that tsunamis can occur in any of the oceanic regions, but are most common in the Pacific Ocean, it is definitely the case that if it is a common misconception that either most protists have contractile vacuoles or many people associate paganism with devil worship, then horses add body fat from front to rear and top to bottom. If faith is the powerful ability to do great things, then if it is a common misconception that either most protists have contractile vacuoles or many people associate paganism with devil worship, then horses add body fat from front to rear and top to bottom. There is good reason to believe that either earth is the creation of balance or barred owls are very vocal birds, often calling to one another at night, sometimes during the day. On the condition that earth is the creation of balance, it is definitely the case that the statement that states horses add body fat from front to rear and top to bottom is false. It is a fact that either either squirrels require diets or whales live in water temperature or runways are busy places, even when there are no planes around. On the condition that either squirrels require diets or whales live in water temperature, it is definitely the case that poverty is as much a human rights issue as arbitrary arrest. Once we know runways are busy places, even when there are no planes around, we also know that if barred owls are very vocal birds, often calling to one another at night, sometimes during the day, then the statement that states horses add body fat from front to rear and top to bottom is false. Should it be the case that poverty is as much a human rights issue as arbitrary arrest, it follows that rage is rock bands. The statement that states rage is rock bands is false.
|
We know that either most protists have contractile vacuoles or many people associate paganism with devil worship.
|
We know that either most protists have contractile vacuoles or many people associate paganism with devil worship.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (Either [0] or [1].).), then [2].).
If [6], then (If (Not (Either [0] or [1].).), then [2].).
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If [4], then (Not [2].).). [SC1-3]
Not [7]. [SC2-3]
Therefore, If [4], then (Not [2].)..
[SC1-3]
Constructive Dilemma:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then [7].
If [11], then (If [4], then (Not [2].).).
Therefore, Either [7] or (If [4], then (Not [2].).)..
[SC2-3]
Modus Tonens:
If [7], then [8].
Not [8].
Therefore, Not [7]..
|
{0: 'Most protists have contractile vacuoles.', 1: 'Many people associate paganism with devil worship.', 2: 'Horses add body fat from front to rear and top to bottom.', 3: 'Earth is the creation of balance.', 4: 'Barred owls are very vocal birds, often calling to one another at night, sometimes during the day.', 5: 'Tsunamis can occur in any of the oceanic regions, but are most common in the Pacific Ocean.', 6: 'Faith is the powerful ability to do great things.', 7: 'Poverty is as much a human rights issue as arbitrary arrest.', 8: 'Rage is rock bands.', 9: 'Squirrels require diets.', 10: 'Whales live in water temperature.', 11: 'Runways are busy places, even when there are no planes around.'}
| 6 |
5,895 |
['At least one of two things is true: plants bloom the following spring, then set seed and die, or fruit falls from trees.', 'It is a common misconception that either kudu are famous for their ability to jump high fences or evaluation is the act of deciding what is good, bad, or mediocre.', 'Either one or both of these statements are true: either siberian husky sled dogs are a balance of both speed and power while possessing endurance or some weeds absorb water, or sauces contain spices.', "So long as either siberian husky sled dogs are a balance of both speed and power while possessing endurance or some weeds absorb water, 'if fruit falls from trees, then oil keeps moving surfaces separate from each other' is true.", "So long as thunderstorms are most common in the spring and summer but can occur anytime during the year, 'either either kudu are famous for their ability to jump high fences or evaluation is the act of deciding what is good, bad, or mediocre or if plants bloom the following spring, then set seed and die, then oil keeps moving surfaces separate from each other' is true.", 'It is a simple truth that thunderstorms are most common in the spring and summer but can occur anytime during the year.', 'When cows are mature female bovines is true, it follows that if sauces contain spices, then if fruit falls from trees, then oil keeps moving surfaces separate from each other.', 'Should it be the case that if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects, it follows that if sauces contain spices, then if fruit falls from trees, then oil keeps moving surfaces separate from each other.', 'Either one or both of these statements are true: sarcoidosis occurs in highly variable groups, or if nature is celebrated in chant, song, and dance, then some people simply invest in livestock as a tax write-off or hobby.', 'Assuming sarcoidosis occurs in highly variable groups, we know that either cows are mature female bovines or if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects.', 'On the condition that if nature is celebrated in chant, song, and dance, then some people simply invest in livestock as a tax write-off or hobby, it is definitely the case that either cows are mature female bovines or if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects.']
|
At least one of two things is true: plants bloom the following spring, then set seed and die, or fruit falls from trees. It is a common misconception that either kudu are famous for their ability to jump high fences or evaluation is the act of deciding what is good, bad, or mediocre. Either one or both of these statements are true: either siberian husky sled dogs are a balance of both speed and power while possessing endurance or some weeds absorb water, or sauces contain spices. So long as either siberian husky sled dogs are a balance of both speed and power while possessing endurance or some weeds absorb water, 'if fruit falls from trees, then oil keeps moving surfaces separate from each other' is true. So long as thunderstorms are most common in the spring and summer but can occur anytime during the year, 'either either kudu are famous for their ability to jump high fences or evaluation is the act of deciding what is good, bad, or mediocre or if plants bloom the following spring, then set seed and die, then oil keeps moving surfaces separate from each other' is true. It is a simple truth that thunderstorms are most common in the spring and summer but can occur anytime during the year. When cows are mature female bovines is true, it follows that if sauces contain spices, then if fruit falls from trees, then oil keeps moving surfaces separate from each other. Should it be the case that if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects, it follows that if sauces contain spices, then if fruit falls from trees, then oil keeps moving surfaces separate from each other. Either one or both of these statements are true: sarcoidosis occurs in highly variable groups, or if nature is celebrated in chant, song, and dance, then some people simply invest in livestock as a tax write-off or hobby. Assuming sarcoidosis occurs in highly variable groups, we know that either cows are mature female bovines or if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects. On the condition that if nature is celebrated in chant, song, and dance, then some people simply invest in livestock as a tax write-off or hobby, it is definitely the case that either cows are mature female bovines or if fraternal twins can either be of the same sex, or male and female, then most diets can have side effects.
|
We can assume that oil keeps moving surfaces separate from each other.
|
The statement that states oil keeps moving surfaces separate from each other is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If [1], then [0].). [SC1-2]
Not (Either [3] or [4].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [11], then (Either (Either [3] or [4].) or (If [1], then [0].).).
[11]
Therefore, Either (Either [3] or [4].) or (If [1], then [0].)..
[SC3-1]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If [2], then [0].).
If [7], then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC3-2]
Disjunction Elimination:
Either [8] or (If [9], then [10].). [SC1-3]
If [8], then (If [7], then (If [2], then [0].).).
If (If [9], then [10].), then (If [7], then (If [2], then [0].).).
Therefore, If [7], then (If [2], then [0].)..
[SC1-3]
Disjunction Elimination:
Either [12] or (If [13], then [14].).
If [12], then (Either [8] or (If [9], then [10].).).
If (If [13], then [14].), then (Either [8] or (If [9], then [10].).).
Therefore, Either [8] or (If [9], then [10].)..
|
{0: 'Oil keeps moving surfaces separate from each other.', 1: 'Plants bloom the following spring, then set seed and die.', 2: 'Fruit falls from trees.', 3: 'Kudu are famous for their ability to jump high fences.', 4: 'Evaluation is the act of deciding what is good, bad, or mediocre.', 5: 'Siberian husky sled dogs are a balance of both speed and power while possessing endurance.', 6: 'Some weeds absorb water.', 7: 'Sauces contain spices.', 8: 'Cows are mature female bovines.', 9: 'Fraternal twins can either be of the same sex, or male and female.', 10: 'Most diets can have side effects.', 11: 'Thunderstorms are most common in the spring and summer but can occur anytime during the year.', 12: 'Sarcoidosis occurs in highly variable groups.', 13: 'Nature is celebrated in chant, song, and dance.', 14: 'Some people simply invest in livestock as a tax write-off or hobby.'}
| 6 |
5,992 |
["Either one or both of these statements are true: some feet bury in sand, or disaster can disrupt people's lives in a matter of minutes.", "One may reasonably assume that if disaster can disrupt people's lives in a matter of minutes, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker.", 'We know that either some people swim or jump off rocks or pangolins share characteristics.', 'Should it be the case that some people swim or jump off rocks, it follows that some people mistakenly believe that a wryneck is a woodpecker.', 'On the condition that pangolins share characteristics, it is definitely the case that some people mistakenly believe that a wryneck is a woodpecker.', 'The claim that antimony trioxide is accepted to be carcinogenic does not correspond with reality.', "The notion that 'lions kill animals' is untrue.", 'When the claim that if some people mistakenly believe that either antimony trioxide is accepted to be carcinogenic or if some feet bury in sand, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker, then lions kill animals has no merit is true, it follows that vertebrates tend to be much more intelligent than invertebrates.', "Whenever it is true that the claim that if some people mistakenly believe that either antimony trioxide is accepted to be carcinogenic or if some feet bury in sand, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker, then lions kill animals has no merit, 'the statement that states vertebrates tend to be much more intelligent than invertebrates is false' is true."]
|
Either one or both of these statements are true: some feet bury in sand, or disaster can disrupt people's lives in a matter of minutes. One may reasonably assume that if disaster can disrupt people's lives in a matter of minutes, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker. We know that either some people swim or jump off rocks or pangolins share characteristics. Should it be the case that some people swim or jump off rocks, it follows that some people mistakenly believe that a wryneck is a woodpecker. On the condition that pangolins share characteristics, it is definitely the case that some people mistakenly believe that a wryneck is a woodpecker. The claim that antimony trioxide is accepted to be carcinogenic does not correspond with reality. The notion that 'lions kill animals' is untrue. When the claim that if some people mistakenly believe that either antimony trioxide is accepted to be carcinogenic or if some feet bury in sand, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker, then lions kill animals has no merit is true, it follows that vertebrates tend to be much more intelligent than invertebrates. Whenever it is true that the claim that if some people mistakenly believe that either antimony trioxide is accepted to be carcinogenic or if some feet bury in sand, then if the claim that if gymnosperms have (part) plasma membranes, then trace fossils can also help to establish evolutionary trends has no merit, then a wryneck is a woodpecker, then lions kill animals has no merit, 'the statement that states vertebrates tend to be much more intelligent than invertebrates is false' is true.
|
On the condition that gymnosperms have (part) plasma membranes, it is definitely the case that trace fossils can also help to establish evolutionary trends.
|
On the condition that gymnosperms have (part) plasma membranes, it is definitely the case that trace fossils can also help to establish evolutionary trends.
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [0], then [1].).), then [2].). [SC2-2]
If [6], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).). [SC1-3]
Not [7].
Therefore, If [5], then (If (Not (If [0], then [1].).), then [2].)..
[SC1-3]
Modus Tonens:
If (Not (Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).).).), then [8]. [SC1-4]
Not [8].
Therefore, Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).).).), then [8].).), then [9].
If (Not (If (Not (Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).).).), then [8].).), then (Not [9].).
Therefore, If (Not (Either [7] or (If [5], then (If (Not (If [0], then [1].).), then [2].).).).), then [8]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Gymnosperms have (part) plasma membranes.', 1: 'Trace fossils can also help to establish evolutionary trends.', 2: 'A wryneck is a woodpecker.', 3: 'Some people swim or jump off rocks.', 4: 'Pangolins share characteristics.', 5: 'Some feet bury in sand.', 6: "Disaster can disrupt people's lives in a matter of minutes.", 7: 'Antimony trioxide is accepted to be carcinogenic.', 8: 'Lions kill animals.', 9: 'Vertebrates tend to be much more intelligent than invertebrates.'}
| 6 |
5,158 |
['The claim that most wombats have ranges is true.', 'Once we know we know that the claim that if today there is scientific evidence that music can soothe frayed nerves, then tourism also allows people to get away from everyday life and put themselves into different worlds is false, we also know that hot water emerging from deep within a planet arrives at the surface and cools quickly.', 'The claim that hot water emerging from deep within a planet arrives at the surface and cools quickly does not correspond with reality.', 'It is rational to believe that either either plagiarism is regarded as a form of theft and is therefore a serious offence or many people have a trait theory where other people are described using a list of adjectives or if screw threads are measured either in millimeters or in numbers, then tourism also allows people to get away from everyday life and put themselves into different worlds.', 'There is good reason to believe that either toy dogs are true companion animals or sand is located in oceans.', 'Assuming toy dogs are true companion animals, we know that if most wombats have ranges, then either today there is scientific evidence that music can soothe frayed nerves or screw threads are measured either in millimeters or in numbers.', 'Provided that sand is located in oceans, we know that if most wombats have ranges, then either today there is scientific evidence that music can soothe frayed nerves or screw threads are measured either in millimeters or in numbers.', "Either planes have (part) gas lines or the notion that 'either plagiarism is regarded as a form of theft and is therefore a serious offence or many people have a trait theory where other people are described using a list of adjectives' is untrue.", 'It is a common misconception that planes have (part) gas lines.']
|
The claim that most wombats have ranges is true. Once we know we know that the claim that if today there is scientific evidence that music can soothe frayed nerves, then tourism also allows people to get away from everyday life and put themselves into different worlds is false, we also know that hot water emerging from deep within a planet arrives at the surface and cools quickly. The claim that hot water emerging from deep within a planet arrives at the surface and cools quickly does not correspond with reality. It is rational to believe that either either plagiarism is regarded as a form of theft and is therefore a serious offence or many people have a trait theory where other people are described using a list of adjectives or if screw threads are measured either in millimeters or in numbers, then tourism also allows people to get away from everyday life and put themselves into different worlds. There is good reason to believe that either toy dogs are true companion animals or sand is located in oceans. Assuming toy dogs are true companion animals, we know that if most wombats have ranges, then either today there is scientific evidence that music can soothe frayed nerves or screw threads are measured either in millimeters or in numbers. Provided that sand is located in oceans, we know that if most wombats have ranges, then either today there is scientific evidence that music can soothe frayed nerves or screw threads are measured either in millimeters or in numbers. Either planes have (part) gas lines or the notion that 'either plagiarism is regarded as a form of theft and is therefore a serious offence or many people have a trait theory where other people are described using a list of adjectives' is untrue. It is a common misconception that planes have (part) gas lines.
|
We can assume that tourism also allows people to get away from everyday life and put themselves into different worlds.
|
Tourism is a rapidly growing sector that offers more and more employment opportunities.
|
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]
Modus Ponens:
If [6], then (Either [1] or [2].). [SC1-2]
[6]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (Either [1] or [2].).).
If [9], then (If [6], then (Either [1] or [2].).).
Therefore, If [6], then (Either [1] or [2].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [3].
Not [3].
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If [2], then [0].).
Not (Either [4] or [5].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not (Either [4] or [5].).).
Not [7].
Therefore, Not (Either [4] or [5].)..
|
{0: 'Tourism also allows people to get away from everyday life and put themselves into different worlds.', 1: 'Today there is scientific evidence that music can soothe frayed nerves.', 2: 'Screw threads are measured either in millimeters or in numbers.', 3: 'Hot water emerging from deep within a planet arrives at the surface and cools quickly.', 4: 'Plagiarism is regarded as a form of theft and is therefore a serious offence.', 5: 'Many people have a trait theory where other people are described using a list of adjectives.', 6: 'Most wombats have ranges.', 7: 'Planes have (part) gas lines.', 8: 'Toy dogs are true companion animals.', 9: 'Sand is located in oceans.'}
| 6 |
5,154 |
['There is good reason to believe that either most constrictors reach maturity or if the claim that some diseases affect horses has no merit, then either some animals change their physical appearance to prepare for winter or check valves are often part of common household items.', 'The claim that most constrictors reach maturity does not reflect reality.', 'It is not the case that cockroaches are persistent and hard to control.', 'Should it be the case that some dairy products prevent absorption, it follows that some partial albinos have typical coloration.', 'It is reasonable to believe that some dairy products prevent absorption.', "It is a fact that either bats serve as nature's pest control or if the statement, if some partial albinos have typical coloration, then if the claim that some diseases affect horses has no merit, then some people mistakenly believe that either some animals change their physical appearance to prepare for winter or check valves are often part of common household items, does not hold, then cockroaches are persistent and hard to control.", "It is not true that bats serve as nature's pest control."]
|
There is good reason to believe that either most constrictors reach maturity or if the claim that some diseases affect horses has no merit, then either some animals change their physical appearance to prepare for winter or check valves are often part of common household items. The claim that most constrictors reach maturity does not reflect reality. It is not the case that cockroaches are persistent and hard to control. Should it be the case that some dairy products prevent absorption, it follows that some partial albinos have typical coloration. It is reasonable to believe that some dairy products prevent absorption. It is a fact that either bats serve as nature's pest control or if the statement, if some partial albinos have typical coloration, then if the claim that some diseases affect horses has no merit, then some people mistakenly believe that either some animals change their physical appearance to prepare for winter or check valves are often part of common household items, does not hold, then cockroaches are persistent and hard to control. It is not true that bats serve as nature's pest control.
|
The statement that states some diseases affect horses is right.
|
The claim that some diseases affect horses has no merit.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Either [1] or [2].).).
Not [3].
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC2-1]
Modus Ponens:
If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC1-2]
[4] [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Tonens:
If (Not (If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [6]. [SC1-3]
Not [6].
Therefore, If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [6].).
Not [7].
Therefore, If (Not (If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [6]..
[SC2-2]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
|
{0: 'Some diseases affect horses.', 1: 'Some animals change their physical appearance to prepare for winter.', 2: 'Check valves are often part of common household items.', 3: 'Most constrictors reach maturity.', 4: 'Some partial albinos have typical coloration.', 5: 'Some dairy products prevent absorption.', 6: 'Cockroaches are persistent and hard to control.', 7: "Bats serve as nature's pest control."}
| 6 |
5,040 |
["The statement 'some beetles eat proteins' can be considered false.", 'It is rational to believe that either vectors Find the magnitude, direction and component form of displacement vectors or bad things can also occur because of the mistaken thinking of decent people.', "So long as bad things can also occur because of the mistaken thinking of decent people, 'manatees are large friendly mammals which inhabit the fresh water rivers and springs of Florida' is true.", "Whenever it is true that the claim that if some people mistakenly believe that if vectors Find the magnitude, direction and component form of displacement vectors, then some beetles eat proteins, then jawless fish appear in the Upper Cambrian does not correspond with reality, 'tidal pools become home to a variety of marine life' is true.", 'The claim that tidal pools become home to a variety of marine life has no merit.', 'If some cultures use a lot of gesturing, then it is a common misconception that jawless fish appear in the Upper Cambrian.', 'If marigolds come in many colors of yellow, orange, red, and white, then it is a common misconception that jawless fish appear in the Upper Cambrian.', "Whenever it is true that the statement 'either some cultures use a lot of gesturing or marigolds come in many colors of yellow, orange, red, and white' can be considered false, 'crows fly with a steady rowing wingbeat' is true.", 'It is a common misconception that crows fly with a steady rowing wingbeat.']
|
The statement 'some beetles eat proteins' can be considered false. It is rational to believe that either vectors Find the magnitude, direction and component form of displacement vectors or bad things can also occur because of the mistaken thinking of decent people. So long as bad things can also occur because of the mistaken thinking of decent people, 'manatees are large friendly mammals which inhabit the fresh water rivers and springs of Florida' is true. Whenever it is true that the claim that if some people mistakenly believe that if vectors Find the magnitude, direction and component form of displacement vectors, then some beetles eat proteins, then jawless fish appear in the Upper Cambrian does not correspond with reality, 'tidal pools become home to a variety of marine life' is true. The claim that tidal pools become home to a variety of marine life has no merit. If some cultures use a lot of gesturing, then it is a common misconception that jawless fish appear in the Upper Cambrian. If marigolds come in many colors of yellow, orange, red, and white, then it is a common misconception that jawless fish appear in the Upper Cambrian. Whenever it is true that the statement 'either some cultures use a lot of gesturing or marigolds come in many colors of yellow, orange, red, and white' can be considered false, 'crows fly with a steady rowing wingbeat' is true. It is a common misconception that crows fly with a steady rowing wingbeat.
|
The claim that manatees are large friendly mammals which inhabit the fresh water rivers and springs of Florida is true.
|
The claim that manatees are large friendly mammals which inhabit the fresh water rivers and springs of Florida is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [0].
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then [1].).), then [4].).), then [7].
Not [7].
Therefore, If (Not (If [2], then [1].).), then [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
[SC1-4]
Modus Tonens:
If (Not (Either [5] or [6].).), then [8].
Not [8].
Therefore, Either [5] or [6]..
|
{0: 'Manatees are large friendly mammals which inhabit the fresh water rivers and springs of Florida.', 1: 'Some beetles eat proteins.', 2: 'Vectors Find the magnitude, direction and component form of displacement vectors.', 3: 'Bad things can also occur because of the mistaken thinking of decent people.', 4: 'Jawless fish appear in the Upper Cambrian.', 5: 'Some cultures use a lot of gesturing.', 6: 'Marigolds come in many colors of yellow, orange, red, and white.', 7: 'Tidal pools become home to a variety of marine life.', 8: 'Crows fly with a steady rowing wingbeat.'}
| 6 |
5,585 |
['We know that at least one of two things is true: either most major herbivores eat vegetable matter or weathering processes are essential components of erosion and deposition of sediments, or either romaine lettuce is lettuce and chicken is chicken or children also have a high rate of sinus infections.', 'The claim that either most major herbivores eat vegetable matter or weathering processes are essential components of erosion and deposition of sediments does not correspond with reality.', 'One may reasonably assume that if quantal content is a measure of the number of vesicles released by the nerve, then if romaine lettuce is lettuce and chicken is chicken, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone.', 'It is reasonable to believe that quantal content is a measure of the number of vesicles released by the nerve.', 'We know that at least one of two things is true: if poultry is delicious espically when grilled on open fire, then water is able to hold the vibration set off by the interplay of the light and the flowers, or earth is the only planet in the solar system with spectacular solar eclipses.', 'When if poultry is delicious espically when grilled on open fire, then water is able to hold the vibration set off by the interplay of the light and the flowers is true, it follows that if manatees range in color from gray to brown, then if children also have a high rate of sinus infections, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone.', 'Given that earth is the only planet in the solar system with spectacular solar eclipses, it can be inferred that if manatees range in color from gray to brown, then if children also have a high rate of sinus infections, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone.', 'Either one or both of these statements are true: egg donations require a semi-surgical procedure that requires weeks of hormonal injections, or manatees range in color from gray to brown.', "The statement 'egg donations require a semi-surgical procedure that requires weeks of hormonal injections' can be considered false."]
|
We know that at least one of two things is true: either most major herbivores eat vegetable matter or weathering processes are essential components of erosion and deposition of sediments, or either romaine lettuce is lettuce and chicken is chicken or children also have a high rate of sinus infections. The claim that either most major herbivores eat vegetable matter or weathering processes are essential components of erosion and deposition of sediments does not correspond with reality. One may reasonably assume that if quantal content is a measure of the number of vesicles released by the nerve, then if romaine lettuce is lettuce and chicken is chicken, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone. It is reasonable to believe that quantal content is a measure of the number of vesicles released by the nerve. We know that at least one of two things is true: if poultry is delicious espically when grilled on open fire, then water is able to hold the vibration set off by the interplay of the light and the flowers, or earth is the only planet in the solar system with spectacular solar eclipses. When if poultry is delicious espically when grilled on open fire, then water is able to hold the vibration set off by the interplay of the light and the flowers is true, it follows that if manatees range in color from gray to brown, then if children also have a high rate of sinus infections, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone. Given that earth is the only planet in the solar system with spectacular solar eclipses, it can be inferred that if manatees range in color from gray to brown, then if children also have a high rate of sinus infections, then if powder coating is a more profitable way to use space and time that is devoted to painting, then some males are able to orgasm with prostate stimulation alone. Either one or both of these statements are true: egg donations require a semi-surgical procedure that requires weeks of hormonal injections, or manatees range in color from gray to brown. The statement 'egg donations require a semi-surgical procedure that requires weeks of hormonal injections' can be considered false.
|
Assuming powder coating is a more profitable way to use space and time that is devoted to painting, we know that some males are able to orgasm with prostate stimulation alone.
|
On the condition that powder coating is a special finish for outdoors that is very durable, it is definitely the case that some males are able to orgasm with prostate stimulation alone.
|
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]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Either [2] or [3].).
Not (Either [6] or [7].).
Therefore, Either [2] or [3]..
[SC2-1]
Modus Ponens:
If [4], then (If [2], then (If [0], then [1].).).
[4]
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Modus Ponens:
If [5], then (If [3], then (If [0], then [1].).). [SC1-2]
[5] [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If [5], then (If [3], then (If [0], then [1].).).).
If [11], then (If [5], then (If [3], then (If [0], then [1].).).).
Therefore, If [5], then (If [3], then (If [0], then [1].).)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or [5].
Not [8].
Therefore, [5].
|
{0: 'Powder coating is a more profitable way to use space and time that is devoted to painting.', 1: 'Some males are able to orgasm with prostate stimulation alone.', 2: 'Romaine lettuce is lettuce and chicken is chicken.', 3: 'Children also have a high rate of sinus infections.', 4: 'Quantal content is a measure of the number of vesicles released by the nerve.', 5: 'Manatees range in color from gray to brown.', 6: 'Most major herbivores eat vegetable matter.', 7: 'Weathering processes are essential components of erosion and deposition of sediments.', 8: 'Egg donations require a semi-surgical procedure that requires weeks of hormonal injections.', 9: 'Poultry is delicious espically when grilled on open fire.', 10: 'Water is able to hold the vibration set off by the interplay of the light and the flowers.', 11: 'Earth is the only planet in the solar system with spectacular solar eclipses.'}
| 6 |
5,805 |
['Should it be the case that those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, it follows that birds have compounds.', 'It is reasonable to believe that citizens to take care.', 'Assuming gaseous drinks are also very much inclined to give one the same feeling as too much food or liquid, we know that if those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, then those that suggest birds have compounds are wrong.', 'If if most dogs possess blood, then grain is seeds, then if those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, then those that suggest birds have compounds are wrong.', "Given that cancer chemotherapy is the most common cause of agranulocytosis, it can be inferred that if citizens to take care, then if some people mistakenly believe that some species are voracious predators, then the notion that 'many arthropods have intimate relationships with plants' is untrue.", 'The idea that cancer chemotherapy is the most common cause of agranulocytosis is true.', 'At least one of two things is true: quotas are a maximum amount of a good that can be imported into a country, or monopropellant rockets use a single propellant decomposed by a catalyst .', 'Provided that quotas are a maximum amount of a good that can be imported into a country, we know that gaseous drinks are also very much inclined to give one the same feeling as too much food or liquid.', "So long as monopropellant rockets use a single propellant decomposed by a catalyst , 'if most dogs possess blood, then grain is seeds' is true."]
|
Should it be the case that those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, it follows that birds have compounds. It is reasonable to believe that citizens to take care. Assuming gaseous drinks are also very much inclined to give one the same feeling as too much food or liquid, we know that if those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, then those that suggest birds have compounds are wrong. If if most dogs possess blood, then grain is seeds, then if those that suggest if some people mistakenly believe that some species are voracious predators, then many arthropods have intimate relationships with plants are wrong, then those that suggest birds have compounds are wrong. Given that cancer chemotherapy is the most common cause of agranulocytosis, it can be inferred that if citizens to take care, then if some people mistakenly believe that some species are voracious predators, then the notion that 'many arthropods have intimate relationships with plants' is untrue. The idea that cancer chemotherapy is the most common cause of agranulocytosis is true. At least one of two things is true: quotas are a maximum amount of a good that can be imported into a country, or monopropellant rockets use a single propellant decomposed by a catalyst . Provided that quotas are a maximum amount of a good that can be imported into a country, we know that gaseous drinks are also very much inclined to give one the same feeling as too much food or liquid. So long as monopropellant rockets use a single propellant decomposed by a catalyst , 'if most dogs possess blood, then grain is seeds' is true.
|
The statement that states some species are voracious predators is right.
|
It is a common misconception that some species are voracious predators.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [3].
If (Not (If (Not [0].), then [1].).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (If (Not (If (Not [0].), then [1].).), then (Not [3].).).
If (If [6], then [7].), then (If (Not (If (Not [0].), then [1].).), then (Not [3].).).
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [3].)..
[SC1-3]
Constructive Dilemma:
Either [8] or [9].
If [8], then [5].
If [9], then (If [6], then [7].).
Therefore, Either [5] or (If [6], then [7].)..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).). [SC1-2]
[2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [4], then (If [2], then (If (Not [0].), then (Not [1].).).).
[4]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Some species are voracious predators.', 1: 'Many arthropods have intimate relationships with plants.', 2: 'Citizens to take care.', 3: 'Birds have compounds.', 4: 'Cancer chemotherapy is the most common cause of agranulocytosis.', 5: 'Gaseous drinks are also very much inclined to give one the same feeling as too much food or liquid.', 6: 'Most dogs possess blood.', 7: 'Grain is seeds.', 8: 'Quotas are a maximum amount of a good that can be imported into a country.', 9: 'Monopropellant rockets use a single propellant decomposed by a catalyst .'}
| 6 |
5,592 |
['The claim that some beetles live in trees has no merit.', 'Assuming if inaction is a state, then intelligence is the ability to learn or understand from experience, we know that canine distemper is distemper.', "Whenever it is true that if inaction is a state, then intelligence is the ability to learn or understand from experience, 'it is a common misconception that canine distemper is distemper' is true.", 'The statement that states immunology is medicine is false.', 'There is good reason to believe that either quantal size is correlated with receptor cluster area at glycinergic synapses in the rat brainstem or either cash crops are crops or gels are located in bathrooms.', 'If quantal size is correlated with receptor cluster area at glycinergic synapses in the rat brainstem, then either immunology is medicine or if the claim that if the statement, if love is the desire to understand another, then information flows affect outcomes, does not hold, then if inaction is a state, then intelligence is the ability to learn or understand from experience has no merit, then some beetles live in trees.', 'Given that men are only partly spiritual, because they have a body, it can be inferred that if either cash crops are crops or gels are located in bathrooms, then either immunology is medicine or if the claim that if the statement, if love is the desire to understand another, then information flows affect outcomes, does not hold, then if inaction is a state, then intelligence is the ability to learn or understand from experience has no merit, then some beetles live in trees.', 'The statement that states men are only partly spiritual, because they have a body is right.']
|
The claim that some beetles live in trees has no merit. Assuming if inaction is a state, then intelligence is the ability to learn or understand from experience, we know that canine distemper is distemper. Whenever it is true that if inaction is a state, then intelligence is the ability to learn or understand from experience, 'it is a common misconception that canine distemper is distemper' is true. The statement that states immunology is medicine is false. There is good reason to believe that either quantal size is correlated with receptor cluster area at glycinergic synapses in the rat brainstem or either cash crops are crops or gels are located in bathrooms. If quantal size is correlated with receptor cluster area at glycinergic synapses in the rat brainstem, then either immunology is medicine or if the claim that if the statement, if love is the desire to understand another, then information flows affect outcomes, does not hold, then if inaction is a state, then intelligence is the ability to learn or understand from experience has no merit, then some beetles live in trees. Given that men are only partly spiritual, because they have a body, it can be inferred that if either cash crops are crops or gels are located in bathrooms, then either immunology is medicine or if the claim that if the statement, if love is the desire to understand another, then information flows affect outcomes, does not hold, then if inaction is a state, then intelligence is the ability to learn or understand from experience has no merit, then some beetles live in trees. The statement that states men are only partly spiritual, because they have a body is right.
|
When love is the desire to understand another is true, it follows that information flows affect outcomes.
|
The statement 'if love is the desire to understand another, then information flows affect outcomes' can be considered false.
|
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 [5]. [SC1-2]
Not [5].
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].). [SC1-3]
Not [6].
Therefore, If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5]..
[SC1-3]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].).).
If (Either [8] or [9].), then (Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].).). [SC3-4]
Therefore, Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].)..
[SC3-4]
Modus Ponens:
If [10], then (If (Either [8] or [9].), then (Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].).).).
[10]
Therefore, If (Either [8] or [9].), then (Either [6] or (If (Not (If (Not (If [0], then [1].).), then (If [2], then [3].).).), then [5].).)..
[SC2-1]
Reductio Ad Absurdum:
If (If [2], then [3].), then [4].
If (If [2], then [3].), then (Not [4].).
Therefore, Not (If [2], then [3].)..
|
{0: 'Love is the desire to understand another.', 1: 'Information flows affect outcomes.', 2: 'Inaction is a state.', 3: 'Intelligence is the ability to learn or understand from experience.', 4: 'Canine distemper is distemper.', 5: 'Some beetles live in trees.', 6: 'Immunology is medicine.', 7: 'Quantal size is correlated with receptor cluster area at glycinergic synapses in the rat brainstem.', 8: 'Cash crops are crops.', 9: 'Gels are located in bathrooms.', 10: 'Men are only partly spiritual, because they have a body.'}
| 6 |
5,964 |
['When some species cause a chemical reaction when mixed with alcohol is true, it follows that either golf caps come in white and tan or most chordates have a tail extending beyond the anus.', "So long as women have two ovaries, 'either golf caps come in white and tan or most chordates have a tail extending beyond the anus' is true.", 'At least one of two things is true: either minks are carnivorous animals or collared peccaries are in the even-toed, hoofed mammal order of Artiodactyla, or the statement that states a truck farm is a farm is false.', 'The statement, either minks are carnivorous animals or collared peccaries are in the even-toed, hoofed mammal order of Artiodactyla, does not hold.', "Whenever it is true that the statement that 'either academic communities can also play an important role in building the infrastructure of networks or either a truck farm is a farm or either some species cause a chemical reaction when mixed with alcohol or women have two ovaries' is incorrect, 'nematodes lack circulatory systems' is true.", "The statement that 'nematodes lack circulatory systems' is incorrect.", 'Provided that academic communities can also play an important role in building the infrastructure of networks, we know that metal ores found in the earth, like gold and silver, are minerals.', 'Given that academic communities can also play an important role in building the infrastructure of networks, it can be inferred that the statement that states metal ores found in the earth, like gold and silver, are minerals is false.']
|
When some species cause a chemical reaction when mixed with alcohol is true, it follows that either golf caps come in white and tan or most chordates have a tail extending beyond the anus. So long as women have two ovaries, 'either golf caps come in white and tan or most chordates have a tail extending beyond the anus' is true. At least one of two things is true: either minks are carnivorous animals or collared peccaries are in the even-toed, hoofed mammal order of Artiodactyla, or the statement that states a truck farm is a farm is false. The statement, either minks are carnivorous animals or collared peccaries are in the even-toed, hoofed mammal order of Artiodactyla, does not hold. Whenever it is true that the statement that 'either academic communities can also play an important role in building the infrastructure of networks or either a truck farm is a farm or either some species cause a chemical reaction when mixed with alcohol or women have two ovaries' is incorrect, 'nematodes lack circulatory systems' is true. The statement that 'nematodes lack circulatory systems' is incorrect. Provided that academic communities can also play an important role in building the infrastructure of networks, we know that metal ores found in the earth, like gold and silver, are minerals. Given that academic communities can also play an important role in building the infrastructure of networks, it can be inferred that the statement that states metal ores found in the earth, like gold and silver, are minerals is false.
|
It is a fact that either golf caps come in white and tan or most chordates have a tail extending beyond the anus.
|
It is a fact that either golf caps come in white and tan or most chordates have a tail extending beyond the anus.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].).
If [3], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [2] or [3]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [4] or (Either [2] or [3].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [4] or (Either [2] or [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (Either [4] or (Either [2] or [3].).).).), then [9].
Not [9].
Therefore, Either [5] or (Either [4] or (Either [2] or [3].).)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [8].
If [5], then (Not [8].).
Therefore, Not [5]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not [4].).
Not (Either [6] or [7].).
Therefore, Not [4]..
|
{0: 'Golf caps come in white and tan.', 1: 'Most chordates have a tail extending beyond the anus.', 2: 'Some species cause a chemical reaction when mixed with alcohol.', 3: 'Women have two ovaries.', 4: 'A truck farm is a farm.', 5: 'Academic communities can also play an important role in building the infrastructure of networks.', 6: 'Minks are carnivorous animals.', 7: 'Collared peccaries are in the even-toed, hoofed mammal order of Artiodactyla.', 8: 'Metal ores found in the earth, like gold and silver, are minerals.', 9: 'Nematodes lack circulatory systems.'}
| 6 |
5,266 |
['Once we know it is not the case that if soil compaction is a mimic, then some people mistakenly believe that peacock feathers float slowly from side to side and drop very quickly, we also know that shoal bass grow much faster than redeye bass.', 'Given that it is not the case that if soil compaction is a mimic, then some people mistakenly believe that peacock feathers float slowly from side to side and drop very quickly, it can be inferred that it is not true that shoal bass grow much faster than redeye bass.', 'We know that the claim that veterinarians often provide neutering services at shelters is false.', 'It is a fact that either pancreatitis can destroy the pancreas and create a lack of insulin or some people define a pattern as a recurring solution to a problem in a context.', "Once we know pancreatitis can destroy the pancreas and create a lack of insulin, we also know that if the statement that 'if those that suggest soil compaction is a mimic are wrong, then veterinarians often provide neutering services at shelters' is incorrect, then if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine.", "On the condition that some people define a pattern as a recurring solution to a problem in a context, it is definitely the case that if the statement that 'if those that suggest soil compaction is a mimic are wrong, then veterinarians often provide neutering services at shelters' is incorrect, then if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine.", 'Provided that if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine, we know that patients receive vaccines.', 'Provided that if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine, we know that the claim that patients receive vaccines has no merit.']
|
Once we know it is not the case that if soil compaction is a mimic, then some people mistakenly believe that peacock feathers float slowly from side to side and drop very quickly, we also know that shoal bass grow much faster than redeye bass. Given that it is not the case that if soil compaction is a mimic, then some people mistakenly believe that peacock feathers float slowly from side to side and drop very quickly, it can be inferred that it is not true that shoal bass grow much faster than redeye bass. We know that the claim that veterinarians often provide neutering services at shelters is false. It is a fact that either pancreatitis can destroy the pancreas and create a lack of insulin or some people define a pattern as a recurring solution to a problem in a context. Once we know pancreatitis can destroy the pancreas and create a lack of insulin, we also know that if the statement that 'if those that suggest soil compaction is a mimic are wrong, then veterinarians often provide neutering services at shelters' is incorrect, then if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine. On the condition that some people define a pattern as a recurring solution to a problem in a context, it is definitely the case that if the statement that 'if those that suggest soil compaction is a mimic are wrong, then veterinarians often provide neutering services at shelters' is incorrect, then if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine. Provided that if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine, we know that patients receive vaccines. Provided that if chickens are about the easiest farm animal to keep, then gasoline is meant only to fuel an engine, we know that the claim that patients receive vaccines has no merit.
|
Some people mistakenly believe that peacock feathers float slowly from side to side and drop very quickly.
|
Peacock feathers float slowly from side to side and drop very quickly.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [3].
If (Not (If [1], then (Not [0].).).), then (Not [3].).
Therefore, If [1], then (Not [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If (Not [1].), then [2].).), then (If [4], then [5].). [SC1-3]
Not (If [4], then [5].). [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not [1].), then [2].).), then (If [4], then [5].).).
If [8], then (If (Not (If (Not [1].), then [2].).), then (If [4], then [5].).).
Therefore, If (Not (If (Not [1].), then [2].).), then (If [4], then [5].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [4], then [5].), then [6].
If (If [4], then [5].), then (Not [6].).
Therefore, Not (If [4], then [5].)..
|
{0: 'Peacock feathers float slowly from side to side and drop very quickly.', 1: 'Soil compaction is a mimic.', 2: 'Veterinarians often provide neutering services at shelters.', 3: 'Shoal bass grow much faster than redeye bass.', 4: 'Chickens are about the easiest farm animal to keep.', 5: 'Gasoline is meant only to fuel an engine.', 6: 'Patients receive vaccines.', 7: 'Pancreatitis can destroy the pancreas and create a lack of insulin.', 8: 'Some people define a pattern as a recurring solution to a problem in a context.'}
| 6 |
5,406 |
['It is fair to say that some vanillas extract alcohol.', 'One may reasonably assume that if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then smoking also produces several other harmful effects that particularly affect women.', 'At least one of two things is true: crows are black everywhere, or steaks are cross section slices of large dressed fish such as salmon or halibut.', "The statement 'crows are black everywhere' can be considered false.", "One may reasonably assume that if either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water, then if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then the statement that states smoking also produces several other harmful effects that particularly affect women is false.", "So long as coniferous forests have influence on the financial and biological health of the earth, 'if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then the statement that states smoking also produces several other harmful effects that particularly affect women is false' is true.", "On the condition that the claim that either either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water or coniferous forests have influence on the financial and biological health of the earth does not reflect reality, it is definitely the case that either chemotherapy affects both cancer cells and normal cells, so side effects are common or most tree frogs have pupils.", "So long as the claim that either either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water or coniferous forests have influence on the financial and biological health of the earth does not reflect reality, 'the claim that either chemotherapy affects both cancer cells and normal cells, so side effects are common or most tree frogs have pupils does not correspond with reality' is true."]
|
It is fair to say that some vanillas extract alcohol. One may reasonably assume that if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then smoking also produces several other harmful effects that particularly affect women. At least one of two things is true: crows are black everywhere, or steaks are cross section slices of large dressed fish such as salmon or halibut. The statement 'crows are black everywhere' can be considered false. One may reasonably assume that if either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water, then if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then the statement that states smoking also produces several other harmful effects that particularly affect women is false. So long as coniferous forests have influence on the financial and biological health of the earth, 'if the statement, if steaks are cross section slices of large dressed fish such as salmon or halibut, then if some vanillas extract alcohol, then animals are consumers, does not hold, then the statement that states smoking also produces several other harmful effects that particularly affect women is false' is true. On the condition that the claim that either either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water or coniferous forests have influence on the financial and biological health of the earth does not reflect reality, it is definitely the case that either chemotherapy affects both cancer cells and normal cells, so side effects are common or most tree frogs have pupils. So long as the claim that either either quills grow in varying lengths and colors, depending on the animal's age and species or water symbolizes life, since nothing can grow without water or coniferous forests have influence on the financial and biological health of the earth does not reflect reality, 'the claim that either chemotherapy affects both cancer cells and normal cells, so side effects are common or most tree frogs have pupils does not correspond with reality' is true.
|
It is a simple truth that animals are consumers.
|
The statement that states animals are consumers is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If [1], then [0].).).), then [4].
If (Not (If [2], then (If [1], then [0].).).), then (Not [4].). [SC2-3]
Therefore, If [2], then (If [1], then [0].)..
[SC2-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7]. [SC1-4]
If (Either [5] or [6].), then (If (Not (If [2], then (If [1], then [0].).).), then (Not [4].).).
If [7], then (If (Not (If [2], then (If [1], then [0].).).), then (Not [4].).).
Therefore, If (Not (If [2], then (If [1], then [0].).).), then (Not [4].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either (Either [5] or [6].) or [7].).), then (Either [8] or [9].).
If (Not (Either (Either [5] or [6].) or [7].).), then (Not (Either [8] or [9].).).
Therefore, Either (Either [5] or [6].) or [7]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or [2].
Not [3].
Therefore, [2].
|
{0: 'Animals are consumers.', 1: 'Some vanillas extract alcohol.', 2: 'Steaks are cross section slices of large dressed fish such as salmon or halibut.', 3: 'Crows are black everywhere.', 4: 'Smoking also produces several other harmful effects that particularly affect women.', 5: "Quills grow in varying lengths and colors, depending on the animal's age and species.", 6: 'Water symbolizes life, since nothing can grow without water.', 7: 'Coniferous forests have influence on the financial and biological health of the earth.', 8: 'Chemotherapy affects both cancer cells and normal cells, so side effects are common.', 9: 'Most tree frogs have pupils.'}
| 6 |
5,294 |
['One may reasonably assume that if those that suggest if color refers to colors of ink, then liver function is normal unless hypoxia has occurred in association with seizures are wrong, then light is incident on a plane mirror.', 'Should it be the case that the claim that color refers to colors of ink does not reflect reality, it follows that cashmere is wool.', 'One may reasonably assume that if light is incident on a plane mirror, then horses eat moldy hay.', 'We know that the claim that horses eat moldy hay is false.', 'sea ice is formed in polynyas and advected southward across the shelf.', 'It is rational to believe that either insects are an excellent source of protein or if sea ice is formed in polynyas and advected southward across the shelf, then the claim that cashmere is wool does not correspond with reality.', 'The claim that insects are an excellent source of protein has no merit.']
|
One may reasonably assume that if those that suggest if color refers to colors of ink, then liver function is normal unless hypoxia has occurred in association with seizures are wrong, then light is incident on a plane mirror. Should it be the case that the claim that color refers to colors of ink does not reflect reality, it follows that cashmere is wool. One may reasonably assume that if light is incident on a plane mirror, then horses eat moldy hay. We know that the claim that horses eat moldy hay is false. sea ice is formed in polynyas and advected southward across the shelf. It is rational to believe that either insects are an excellent source of protein or if sea ice is formed in polynyas and advected southward across the shelf, then the claim that cashmere is wool does not correspond with reality. The claim that insects are an excellent source of protein has no merit.
|
The claim that liver function is normal unless hypoxia has occurred in association with seizures is true.
|
The claim that liver function is normal unless hypoxia has occurred in association with seizures is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2].
Not [2]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If [2], then [5].
Not [5].
Therefore, Not [2]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4]
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (Not [3].).).
Not [6].
Therefore, If [4], then (Not [3].)..
|
{0: 'Liver function is normal unless hypoxia has occurred in association with seizures.', 1: 'Color refers to colors of ink.', 2: 'Light is incident on a plane mirror.', 3: 'Cashmere is wool.', 4: 'Sea ice is formed in polynyas and advected southward across the shelf.', 5: 'Horses eat moldy hay.', 6: 'Insects are an excellent source of protein.'}
| 6 |
5,604 |
['Those that suggest bloodhounds are energetic dogs that can be boisterous and independent are right.', 'It is rational to believe that either either complementary therapy are supportive methods used in addition to mainstream conventional therapy or wind turbines are limited to the lowest few metres of the atmosphere or horizontal speed is developed during the run-up or approach to the takeoff board.', "If either complementary therapy are supportive methods used in addition to mainstream conventional therapy or wind turbines are limited to the lowest few metres of the atmosphere, then the statement 'sawyers have (part) plasma membranes' can be considered false.", "On the condition that horizontal speed is developed during the run-up or approach to the takeoff board, it is definitely the case that the statement 'sawyers have (part) plasma membranes' can be considered false.", 'The statement that states gystrum soils have gypsic mineralogy and a cambic horizon is false.', 'The idea that gravity causes it all to start to compress, it becomes very hot, and dense is true.', 'When it is not true that if gravity causes it all to start to compress, it becomes very hot, and dense, then either gystrum soils have gypsic mineralogy and a cambic horizon or if bloodhounds are energetic dogs that can be boisterous and independent, then either sawyers have (part) plasma membranes or light is an electromagnetic wave of energy is true, it follows that treatments help life.', 'Some people mistakenly believe that treatments help life.']
|
Those that suggest bloodhounds are energetic dogs that can be boisterous and independent are right. It is rational to believe that either either complementary therapy are supportive methods used in addition to mainstream conventional therapy or wind turbines are limited to the lowest few metres of the atmosphere or horizontal speed is developed during the run-up or approach to the takeoff board. If either complementary therapy are supportive methods used in addition to mainstream conventional therapy or wind turbines are limited to the lowest few metres of the atmosphere, then the statement 'sawyers have (part) plasma membranes' can be considered false. On the condition that horizontal speed is developed during the run-up or approach to the takeoff board, it is definitely the case that the statement 'sawyers have (part) plasma membranes' can be considered false. The statement that states gystrum soils have gypsic mineralogy and a cambic horizon is false. The idea that gravity causes it all to start to compress, it becomes very hot, and dense is true. When it is not true that if gravity causes it all to start to compress, it becomes very hot, and dense, then either gystrum soils have gypsic mineralogy and a cambic horizon or if bloodhounds are energetic dogs that can be boisterous and independent, then either sawyers have (part) plasma membranes or light is an electromagnetic wave of energy is true, it follows that treatments help life. Some people mistakenly believe that treatments help life.
|
It is the case that light is an electromagnetic wave of energy.
|
Light can degrade chlorine compounds and produce hydrogen, a non-polluting fuel.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (Either [1] or [0].).). [SC1-3]
Not [6].
Therefore, If [2], then (Either [1] or [0].)..
[SC1-3]
Modus Ponens:
If [7], then (Either [6] or (If [2], then (Either [1] or [0].).).). [SC1-4]
[7]
Therefore, Either [6] or (If [2], then (Either [1] or [0].).)..
[SC1-4]
Modus Tonens:
If (Not (If [7], then (Either [6] or (If [2], then (Either [1] or [0].).).).).), then [8].
Not [8].
Therefore, If [7], then (Either [6] or (If [2], then (Either [1] or [0].).).)..
[SC2-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (Not [1].).
If [5], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Light is an electromagnetic wave of energy.', 1: 'Sawyers have (part) plasma membranes.', 2: 'Bloodhounds are energetic dogs that can be boisterous and independent.', 3: 'Complementary therapy are supportive methods used in addition to mainstream conventional therapy.', 4: 'Wind turbines are limited to the lowest few metres of the atmosphere.', 5: 'Horizontal speed is developed during the run-up or approach to the takeoff board.', 6: 'Gystrum soils have gypsic mineralogy and a cambic horizon.', 7: 'Gravity causes it all to start to compress, it becomes very hot, and dense.', 8: 'Treatments help life.'}
| 6 |
5,522 |
['When either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans is true, it follows that if the statement that states fearings causes violence is false, then capitalism operates on investments.', "The statement that 'sea pens are suspension-feeding animals' is incorrect.", 'At least one of two things is true: most colobus monkeys have babies, or types exist in places.', 'Provided that most colobus monkeys have babies, we know that either birds roost in trees or either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans.', 'On the condition that types exist in places, it is definitely the case that either birds roost in trees or either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans.', 'One may reasonably assume that if the claim that if birds roost in trees, then if the statement that states fearings causes violence is false, then capitalism operates on investments does not correspond with reality, then most biodiversity has values.', 'It is not true that most biodiversity has values.', 'Given that we know that the claim that either sea pens are suspension-feeding animals or if the statement that states fearings causes violence is false, then it is not true that capitalism operates on investments is false, it can be inferred that condors prefer fresh kills, but they also eat decayed food when neccessary.', 'Those that suggest condors prefer fresh kills, but they also eat decayed food when neccessary are wrong.']
|
When either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans is true, it follows that if the statement that states fearings causes violence is false, then capitalism operates on investments. The statement that 'sea pens are suspension-feeding animals' is incorrect. At least one of two things is true: most colobus monkeys have babies, or types exist in places. Provided that most colobus monkeys have babies, we know that either birds roost in trees or either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans. On the condition that types exist in places, it is definitely the case that either birds roost in trees or either communication consists of concepts created by agents in reaction to their particular environment or whales inhabit oceans. One may reasonably assume that if the claim that if birds roost in trees, then if the statement that states fearings causes violence is false, then capitalism operates on investments does not correspond with reality, then most biodiversity has values. It is not true that most biodiversity has values. Given that we know that the claim that either sea pens are suspension-feeding animals or if the statement that states fearings causes violence is false, then it is not true that capitalism operates on investments is false, it can be inferred that condors prefer fresh kills, but they also eat decayed food when neccessary. Those that suggest condors prefer fresh kills, but they also eat decayed food when neccessary are wrong.
|
It is a simple truth that fearings causes violence.
|
It is not true that fearings causes violence.
|
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 (Either [3] or [4].). [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If (Either [3] or [4].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [2] or (Either [3] or [4].).).
If [7], then (Either [2] or (Either [3] or [4].).).
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [8].
Not [8].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [5].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or (If (Not [0].), then (Not [1].).).).), then [9].
Not [9].
Therefore, Either [5] or (If (Not [0].), then (Not [1].).)..
|
{0: 'Fearings causes violence.', 1: 'Capitalism operates on investments.', 2: 'Birds roost in trees.', 3: 'Communication consists of concepts created by agents in reaction to their particular environment.', 4: 'Whales inhabit oceans.', 5: 'Sea pens are suspension-feeding animals.', 6: 'Most colobus monkeys have babies.', 7: 'Types exist in places.', 8: 'Most biodiversity has values.', 9: 'Condors prefer fresh kills, but they also eat decayed food when neccessary.'}
| 6 |
5,018 |
["The statement that 'french food is artifacts' is incorrect.", "Once we know if jewelry is our personal link between earth culture, metal and history, nature and art, then some piglets use lamps, we also know that if the statement that 'if physical abuse can cause permanent physical damage, then the statement 'azaleas differ in their susceptibility to root rot' can be considered false' is incorrect, then most butterflies live for months.", "Whenever it is true that jewelry is our personal link between earth culture, metal and history, nature and art, 'some piglets use lamps' is true.", "When the statement that 'if physical abuse can cause permanent physical damage, then the statement 'azaleas differ in their susceptibility to root rot' can be considered false' is incorrect is true, it follows that most red currants produce fruit.", "On the condition that most red currants produce fruit, it is definitely the case that the statement that 'most butterflies live for months' is incorrect.", "So long as some people mistakenly believe that either french food is artifacts or physical abuse can cause permanent physical damage, 'condom failure is more attributed to human failure than to product defectiveness' is true.", 'Provided that some people mistakenly believe that either french food is artifacts or physical abuse can cause permanent physical damage, we know that it is a common misconception that condom failure is more attributed to human failure than to product defectiveness.']
|
The statement that 'french food is artifacts' is incorrect. Once we know if jewelry is our personal link between earth culture, metal and history, nature and art, then some piglets use lamps, we also know that if the statement that 'if physical abuse can cause permanent physical damage, then the statement 'azaleas differ in their susceptibility to root rot' can be considered false' is incorrect, then most butterflies live for months. Whenever it is true that jewelry is our personal link between earth culture, metal and history, nature and art, 'some piglets use lamps' is true. When the statement that 'if physical abuse can cause permanent physical damage, then the statement 'azaleas differ in their susceptibility to root rot' can be considered false' is incorrect is true, it follows that most red currants produce fruit. On the condition that most red currants produce fruit, it is definitely the case that the statement that 'most butterflies live for months' is incorrect. So long as some people mistakenly believe that either french food is artifacts or physical abuse can cause permanent physical damage, 'condom failure is more attributed to human failure than to product defectiveness' is true. Provided that some people mistakenly believe that either french food is artifacts or physical abuse can cause permanent physical damage, we know that it is a common misconception that condom failure is more attributed to human failure than to product defectiveness.
|
The statement 'azaleas differ in their susceptibility to root rot' can be considered false.
|
The statement, azaleas are rhododendrons, does not hold.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [2]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [2].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If (If [5], then [6].), then (If (Not (If [1], then (Not [0].).).), then [2].).
If [5], then [6].
Therefore, If (Not (If [1], then (Not [0].).).), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then [4].
If [4], then (Not [2].).
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1]. [SC1-2]
Not [3].
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [1].).), then [7].
If (Not (Either [3] or [1].).), then (Not [7].).
Therefore, Either [3] or [1]..
|
{0: 'Azaleas differ in their susceptibility to root rot.', 1: 'Physical abuse can cause permanent physical damage.', 2: 'Most butterflies live for months.', 3: 'French food is artifacts.', 4: 'Most red currants produce fruit.', 5: 'Jewelry is our personal link between earth culture, metal and history, nature and art.', 6: 'Some piglets use lamps.', 7: 'Condom failure is more attributed to human failure than to product defectiveness.'}
| 6 |
5,425 |
['When most melanomas begin in a mole or other pre-existing skin lesion is true, it follows that some food includes ants.', 'On the condition that the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, it is definitely the case that electrons absorb and emit photons during their interactions.', 'When tobacco is a natural product is true, it follows that if the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, then computer software is computer code.', 'Should it be the case that enveloped viruses acquire their lipoprotein coat by budding through one of the cellular membranes, it follows that if the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, then computer software is computer code.', 'One may reasonably assume that if computer software is computer code, then either power is quality or molecules are located in air.', "On the condition that either power is quality or molecules are located in air, it is definitely the case that the statement that 'electrons absorb and emit photons during their interactions' is incorrect.", 'It is a fact that either cell membranes come into contact or most mature bucks make scrapes near their bedding area or between bedding and feeding areas.', 'One may reasonably assume that if cell membranes come into contact, then tobacco is a natural product.', 'When most mature bucks make scrapes near their bedding area or between bedding and feeding areas is true, it follows that enveloped viruses acquire their lipoprotein coat by budding through one of the cellular membranes.']
|
When most melanomas begin in a mole or other pre-existing skin lesion is true, it follows that some food includes ants. On the condition that the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, it is definitely the case that electrons absorb and emit photons during their interactions. When tobacco is a natural product is true, it follows that if the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, then computer software is computer code. Should it be the case that enveloped viruses acquire their lipoprotein coat by budding through one of the cellular membranes, it follows that if the claim that most melanomas begin in a mole or other pre-existing skin lesion is false, then computer software is computer code. One may reasonably assume that if computer software is computer code, then either power is quality or molecules are located in air. On the condition that either power is quality or molecules are located in air, it is definitely the case that the statement that 'electrons absorb and emit photons during their interactions' is incorrect. It is a fact that either cell membranes come into contact or most mature bucks make scrapes near their bedding area or between bedding and feeding areas. One may reasonably assume that if cell membranes come into contact, then tobacco is a natural product. When most mature bucks make scrapes near their bedding area or between bedding and feeding areas is true, it follows that enveloped viruses acquire their lipoprotein coat by budding through one of the cellular membranes.
|
The claim that some food includes ants holds true.
|
Many foods contain salt.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Hypothetical Syllogism:
If (Not [1].), then [3]. [SC1-3]
If [3], then (Not [2].). [SC2-3]
Therefore, If (Not [1].), then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then (If (Not [1].), then [3].).
If [5], then (If (Not [1].), then [3].).
Therefore, If (Not [1].), then [3]..
[SC1-4]
Constructive Dilemma:
Either [8] or [9].
If [8], then [4].
If [9], then [5].
Therefore, Either [4] or [5]..
[SC2-3]
Hypothetical Syllogism:
If [3], then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [2].).
Therefore, If [3], then (Not [2].)..
|
{0: 'Some food includes ants.', 1: 'Most melanomas begin in a mole or other pre-existing skin lesion.', 2: 'Electrons absorb and emit photons during their interactions.', 3: 'Computer software is computer code.', 4: 'Tobacco is a natural product.', 5: 'Enveloped viruses acquire their lipoprotein coat by budding through one of the cellular membranes.', 6: 'Power is quality.', 7: 'Molecules are located in air.', 8: 'Cell membranes come into contact.', 9: 'Most mature bucks make scrapes near their bedding area or between bedding and feeding areas.'}
| 6 |
5,527 |
["When manatees use fresh water is true, it follows that if bluebottles differ from true jellyfishes in several ways, then the notion that 'puppies can continue to nurse from the affected gland if the milk remains normal' is untrue.", 'Provided that those that suggest bluebottles differ from true jellyfishes in several ways are wrong, we know that most viruses cause persistent infection.', "Whenever it is true that those that suggest bluebottles differ from true jellyfishes in several ways are wrong, 'the statement, most viruses cause persistent infection, does not hold' is true.", 'We know that at least one of two things is true: blood has diagnoses, or some phenomena occur in liquids.', 'Should it be the case that blood has diagnoses, it follows that either manatees use fresh water or some women develop nausea towards the end of pregnancy.', 'Assuming some phenomena occur in liquids, we know that either manatees use fresh water or some women develop nausea towards the end of pregnancy.', 'When some women develop nausea towards the end of pregnancy is true, it follows that coastal climates are more mild than central continental climates.', "Once we know the claim that if coastal climates are more mild than central continental climates, then if bluebottles differ from true jellyfishes in several ways, then the notion that 'puppies can continue to nurse from the affected gland if the milk remains normal' is untrue is false, we also know that convection current transfers heat energy.", 'The claim that convection current transfers heat energy is false.']
|
When manatees use fresh water is true, it follows that if bluebottles differ from true jellyfishes in several ways, then the notion that 'puppies can continue to nurse from the affected gland if the milk remains normal' is untrue. Provided that those that suggest bluebottles differ from true jellyfishes in several ways are wrong, we know that most viruses cause persistent infection. Whenever it is true that those that suggest bluebottles differ from true jellyfishes in several ways are wrong, 'the statement, most viruses cause persistent infection, does not hold' is true. We know that at least one of two things is true: blood has diagnoses, or some phenomena occur in liquids. Should it be the case that blood has diagnoses, it follows that either manatees use fresh water or some women develop nausea towards the end of pregnancy. Assuming some phenomena occur in liquids, we know that either manatees use fresh water or some women develop nausea towards the end of pregnancy. When some women develop nausea towards the end of pregnancy is true, it follows that coastal climates are more mild than central continental climates. Once we know the claim that if coastal climates are more mild than central continental climates, then if bluebottles differ from true jellyfishes in several ways, then the notion that 'puppies can continue to nurse from the affected gland if the milk remains normal' is untrue is false, we also know that convection current transfers heat energy. The claim that convection current transfers heat energy is false.
|
The notion that 'puppies can continue to nurse from the affected gland if the milk remains normal' is untrue.
|
Some people mistakenly believe that most puppies have hair follicles.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then (Not [0].).).
If [3], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [2] or [3].).
If [7], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC3-2]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If [1], then (Not [0].).). [SC2-3]
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (If [1], then (Not [0].).).).), then [8].
Not [8].
Therefore, If [5], then (If [1], then (Not [0].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [4].
If (Not [1].), then (Not [4].).
Therefore, [1].
|
{0: 'Puppies can continue to nurse from the affected gland if the milk remains normal.', 1: 'Bluebottles differ from true jellyfishes in several ways.', 2: 'Manatees use fresh water.', 3: 'Some women develop nausea towards the end of pregnancy.', 4: 'Most viruses cause persistent infection.', 5: 'Coastal climates are more mild than central continental climates.', 6: 'Blood has diagnoses.', 7: 'Some phenomena occur in liquids.', 8: 'Convection current transfers heat energy.'}
| 6 |
5,308 |
['The claim that coronal ejections have very different sizes and dynamics is true.', "So long as meat is a valued part of the Cuban diet, 'if coronal ejections have very different sizes and dynamics, then the claim that sashs are part of windows does not correspond with reality' is true.", 'Either one or both of these statements are true: either submergent vegetation includes pondweeds, water milfoil, and duckweed or tanks have (part) caterpillar treads, or some tiny insects feed on juice.', 'Assuming some tiny insects feed on juice, we know that meat is a valued part of the Cuban diet.', 'It is rational to believe that either angiogenesis is also indicative of aggressive , metastatic cancer of prostate or if either most insects are easier to control at the infant stage or most elephants eat leaves, then if coronal ejections have very different sizes and dynamics, then the claim that sashs are part of windows does not correspond with reality.', 'The claim that angiogenesis is also indicative of aggressive , metastatic cancer of prostate has no merit.', 'On the condition that either carnivorous birds catch prey or single calves weigh pounds, it is definitely the case that either most insects are easier to control at the infant stage or most elephants eat leaves.', 'Should it be the case that it is a common misconception that if either submergent vegetation includes pondweeds, water milfoil, and duckweed or tanks have (part) caterpillar treads, then either carnivorous birds catch prey or single calves weigh pounds, it follows that chinchillas live in colonies .', 'The claim that chinchillas live in colonies has no merit.']
|
The claim that coronal ejections have very different sizes and dynamics is true. So long as meat is a valued part of the Cuban diet, 'if coronal ejections have very different sizes and dynamics, then the claim that sashs are part of windows does not correspond with reality' is true. Either one or both of these statements are true: either submergent vegetation includes pondweeds, water milfoil, and duckweed or tanks have (part) caterpillar treads, or some tiny insects feed on juice. Assuming some tiny insects feed on juice, we know that meat is a valued part of the Cuban diet. It is rational to believe that either angiogenesis is also indicative of aggressive , metastatic cancer of prostate or if either most insects are easier to control at the infant stage or most elephants eat leaves, then if coronal ejections have very different sizes and dynamics, then the claim that sashs are part of windows does not correspond with reality. The claim that angiogenesis is also indicative of aggressive , metastatic cancer of prostate has no merit. On the condition that either carnivorous birds catch prey or single calves weigh pounds, it is definitely the case that either most insects are easier to control at the infant stage or most elephants eat leaves. Should it be the case that it is a common misconception that if either submergent vegetation includes pondweeds, water milfoil, and duckweed or tanks have (part) caterpillar treads, then either carnivorous birds catch prey or single calves weigh pounds, it follows that chinchillas live in colonies . The claim that chinchillas live in colonies has no merit.
|
The claim that sashs are part of windows does not correspond with reality.
|
Some people mistakenly believe that sashs are frameworks.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (If [1], then (Not [0].).). [SC2-2]
If [4], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (Either [2] or [3].). [SC2-3]
If [7], then [4].
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then (Either [9] or [10].). [SC1-4]
If (Either [9] or [10].), then (Either [2] or [3].).
Therefore, If (Either [5] or [6].), then (Either [2] or [3].)..
[SC1-4]
Modus Tonens:
If (Not (If (Either [5] or [6].), then (Either [9] or [10].).).), then [11].
Not [11].
Therefore, If (Either [5] or [6].), then (Either [9] or [10].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If (Either [2] or [3].), then (If [1], then (Not [0].).).).
Not [8].
Therefore, If (Either [2] or [3].), then (If [1], then (Not [0].).)..
|
{0: 'Sashs are part of windows.', 1: 'Coronal ejections have very different sizes and dynamics.', 2: 'Most insects are easier to control at the infant stage.', 3: 'Most elephants eat leaves.', 4: 'Meat is a valued part of the Cuban diet.', 5: 'Submergent vegetation includes pondweeds, water milfoil, and duckweed.', 6: 'Tanks have (part) caterpillar treads.', 7: 'Some tiny insects feed on juice.', 8: 'Angiogenesis is also indicative of aggressive , metastatic cancer of prostate.', 9: 'Carnivorous birds catch prey.', 10: 'Single calves weigh pounds.', 11: 'Chinchillas live in colonies .'}
| 6 |
5,622 |
['At least one of two things is true: if exhalation requires energy, then young animals establish areas, or archaeology is one area of the sciences that interests everyone.', 'Provided that affected ferrets become lethargic and depressed, we know that green weight is the weight of a cord of freshly cut wood before drying.', 'Once we know we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, we also know that if some brain development reduces cognitive ability, then fatigue is boredom.', 'There is good reason to believe that either yoga is an exercise that leaves one feeling refreshed in body and spirit or if if exhalation requires energy, then young animals establish areas, then affected ferrets become lethargic and depressed.', 'Some people mistakenly believe that yoga is an exercise that leaves one feeling refreshed in body and spirit.', "It is a fact that either daisies are a broad leaved weed with small, white flowers with yellow centers or either forest fires consume one-sixth of north Idaho's forests or free speech is one of our most fundamental and cherished rights.", "Whenever it is true that daisies are a broad leaved weed with small, white flowers with yellow centers, 'if we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, then it is not the case that if some brain development reduces cognitive ability, then fatigue is boredom' is true.", "Once we know either forest fires consume one-sixth of north Idaho's forests or free speech is one of our most fundamental and cherished rights, we also know that if we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, then it is not the case that if some brain development reduces cognitive ability, then fatigue is boredom."]
|
At least one of two things is true: if exhalation requires energy, then young animals establish areas, or archaeology is one area of the sciences that interests everyone. Provided that affected ferrets become lethargic and depressed, we know that green weight is the weight of a cord of freshly cut wood before drying. Once we know we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, we also know that if some brain development reduces cognitive ability, then fatigue is boredom. There is good reason to believe that either yoga is an exercise that leaves one feeling refreshed in body and spirit or if if exhalation requires energy, then young animals establish areas, then affected ferrets become lethargic and depressed. Some people mistakenly believe that yoga is an exercise that leaves one feeling refreshed in body and spirit. It is a fact that either daisies are a broad leaved weed with small, white flowers with yellow centers or either forest fires consume one-sixth of north Idaho's forests or free speech is one of our most fundamental and cherished rights. Whenever it is true that daisies are a broad leaved weed with small, white flowers with yellow centers, 'if we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, then it is not the case that if some brain development reduces cognitive ability, then fatigue is boredom' is true. Once we know either forest fires consume one-sixth of north Idaho's forests or free speech is one of our most fundamental and cherished rights, we also know that if we know that the claim that if if exhalation requires energy, then young animals establish areas, then it is not the case that green weight is the weight of a cord of freshly cut wood before drying is false, then it is not the case that if some brain development reduces cognitive ability, then fatigue is boredom.
|
It is a simple truth that archaeology is one area of the sciences that interests everyone.
|
Archaeology also includes earlier pre-historic time periods.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (If [1], then [2].), then [3]. [SC1-2]
If (If [1], then [2].), then (Not [3].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Hypothetical Syllogism:
If (If [1], then [2].), then [4]. [SC1-3]
If [4], then [3].
Therefore, If (If [1], then [2].), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (If (If [1], then [2].), then [4].).
Not [10].
Therefore, If (If [1], then [2].), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (Not [3].).).), then (If [5], then [6].).
If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If (If [1], then [2].), then (Not [3].)..
[SC2-3]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not (If [5], then [6].).).).
If (Either [8] or [9].), then (If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not (If [5], then [6].).).).
Therefore, If (Not (If (If [1], then [2].), then (Not [3].).).), then (Not (If [5], then [6].).)..
|
{0: 'Archaeology is one area of the sciences that interests everyone.', 1: 'Exhalation requires energy.', 2: 'Young animals establish areas.', 3: 'Green weight is the weight of a cord of freshly cut wood before drying.', 4: 'Affected ferrets become lethargic and depressed.', 5: 'Some brain development reduces cognitive ability.', 6: 'Fatigue is boredom.', 7: 'Daisies are a broad leaved weed with small, white flowers with yellow centers.', 8: "Forest fires consume one-sixth of north Idaho's forests.", 9: 'Free speech is one of our most fundamental and cherished rights.', 10: 'Yoga is an exercise that leaves one feeling refreshed in body and spirit.'}
| 6 |
5,794 |
["The statement that 'blood also supplies glucose principal energy source of neurons' is incorrect.", 'It is rational to believe that either hares are active primarily at night or dental implants have the capability to serve as substitutes for natural tooth roots.', "So long as hares are active primarily at night, 'if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons' is true.", 'On the condition that the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, it is definitely the case that some people raise sheep and goats for specialty products or as a hobby.', "So long as it is not the case that if the statement 'if the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, then those that suggest some people raise sheep and goats for specialty products or as a hobby are wrong' can be considered false, then lateral lines are vital for schooling , predation , and orientation , 'grasshoppers have several ways of producing sound' is true.", "Provided that it is not the case that if the statement 'if the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, then those that suggest some people raise sheep and goats for specialty products or as a hobby are wrong' can be considered false, then lateral lines are vital for schooling , predation , and orientation , we know that the claim that grasshoppers have several ways of producing sound does not reflect reality.", 'Given that deer eat little grass, it can be inferred that those that suggest lateral lines are vital for schooling , predation , and orientation are wrong.', "The statement 'deer eat little grass' can be considered true."]
|
The statement that 'blood also supplies glucose principal energy source of neurons' is incorrect. It is rational to believe that either hares are active primarily at night or dental implants have the capability to serve as substitutes for natural tooth roots. So long as hares are active primarily at night, 'if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons' is true. On the condition that the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, it is definitely the case that some people raise sheep and goats for specialty products or as a hobby. So long as it is not the case that if the statement 'if the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, then those that suggest some people raise sheep and goats for specialty products or as a hobby are wrong' can be considered false, then lateral lines are vital for schooling , predation , and orientation , 'grasshoppers have several ways of producing sound' is true. Provided that it is not the case that if the statement 'if the statement that states if dental implants have the capability to serve as substitutes for natural tooth roots, then if either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images, then blood also supplies glucose principal energy source of neurons is false, then those that suggest some people raise sheep and goats for specialty products or as a hobby are wrong' can be considered false, then lateral lines are vital for schooling , predation , and orientation , we know that the claim that grasshoppers have several ways of producing sound does not reflect reality. Given that deer eat little grass, it can be inferred that those that suggest lateral lines are vital for schooling , predation , and orientation are wrong. The statement 'deer eat little grass' can be considered true.
|
We know that the claim that either most atmospheric scientists have degrees or some graphics devices are able to display grayscale images is false.
|
It is not true that most atmospheric scientists work in private industries.
|
Uncertain
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Either [0] or [1].), then [2].).
If [4], then (If (Either [0] or [1].), then [2].). [SC3-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then [5].
If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].). [SC2-3]
Therefore, If [4], then (If (Either [0] or [1].), then [2].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].).).), then [6]. [SC1-4]
Not [6]. [SC2-4]
Therefore, If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].).).), then [6].).), then [7].
If (Not (If (Not (If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].).).), then [6].).), then (Not [7].).
Therefore, If (Not (If (Not (If [4], then (If (Either [0] or [1].), then [2].).).), then (Not [5].).).), then [6]..
[SC2-4]
Modus Ponens:
If [8], then (Not [6].).
[8]
Therefore, Not [6]..
|
{0: 'Most atmospheric scientists have degrees.', 1: 'Some graphics devices are able to display grayscale images.', 2: 'Blood also supplies glucose principal energy source of neurons.', 3: 'Hares are active primarily at night.', 4: 'Dental implants have the capability to serve as substitutes for natural tooth roots.', 5: 'Some people raise sheep and goats for specialty products or as a hobby.', 6: 'Lateral lines are vital for schooling , predation , and orientation .', 7: 'Grasshoppers have several ways of producing sound.', 8: 'Deer eat little grass.'}
| 6 |
5,062 |
['Either wood frames can also absorb water and attract small bugs or beech mushrooms are petite with either all white or light brown caps.', "So long as if vegetative tillers can produce an infinite number of leaves, then economists propose several ways, 'most matter is made of a single type of atom' is true.", 'The claim that if bad relationships happen because of bad habits, then many workers leave jobs does not correspond with reality.', 'If westerlies steer storms from west to east across middle latitudes, then if wood frames can also absorb water and attract small bugs, then if vegetative tillers can produce an infinite number of leaves, then economists propose several ways.', 'The statement that states westerlies steer storms from west to east across middle latitudes is right.', 'We know that at least one of two things is true: stealing is crime, or if the claim that if wood frames can also absorb water and attract small bugs, then the claim that most matter is made of a single type of atom does not reflect reality does not reflect reality, then if bad relationships happen because of bad habits, then many workers leave jobs.', 'We know that the claim that stealing is crime is false.']
|
Either wood frames can also absorb water and attract small bugs or beech mushrooms are petite with either all white or light brown caps. So long as if vegetative tillers can produce an infinite number of leaves, then economists propose several ways, 'most matter is made of a single type of atom' is true. The claim that if bad relationships happen because of bad habits, then many workers leave jobs does not correspond with reality. If westerlies steer storms from west to east across middle latitudes, then if wood frames can also absorb water and attract small bugs, then if vegetative tillers can produce an infinite number of leaves, then economists propose several ways. The statement that states westerlies steer storms from west to east across middle latitudes is right. We know that at least one of two things is true: stealing is crime, or if the claim that if wood frames can also absorb water and attract small bugs, then the claim that most matter is made of a single type of atom does not reflect reality does not reflect reality, then if bad relationships happen because of bad habits, then many workers leave jobs. We know that the claim that stealing is crime is false.
|
The idea that beech mushrooms are petite with either all white or light brown caps is true.
|
The idea that beech mushrooms are petite with either all white or light brown caps is true.
|
TRUE
|
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 (If [3], then [4].). [SC1-3]
If (If [3], then [4].), then [2].
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If [8], then (If [1], then (If [3], then [4].).).
[8]
Therefore, If [1], then (If [3], then [4].)..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not [2].).).), then (If [5], then [6].). [SC1-3]
Not (If [5], then [6].).
Therefore, If [1], then (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [1], then (Not [2].).).), then (If [5], then [6].).).
Not [7].
Therefore, If (Not (If [1], then (Not [2].).).), then (If [5], then [6].)..
|
{0: 'Beech mushrooms are petite with either all white or light brown caps.', 1: 'Wood frames can also absorb water and attract small bugs.', 2: 'Most matter is made of a single type of atom.', 3: 'Vegetative tillers can produce an infinite number of leaves.', 4: 'Economists propose several ways.', 5: 'Bad relationships happen because of bad habits.', 6: 'Many workers leave jobs.', 7: 'Stealing is crime.', 8: 'Westerlies steer storms from west to east across middle latitudes.'}
| 6 |
5,079 |
['Once we know terrestrial features can influence pollution deposition indirectly, we also know that litigation is both a means of protecting the rights of injured parties, and a means of education.', 'One may reasonably assume that if urinary bladder can absorb water, allowing some concentration, then if dogs are used for pets, then terrestrial features can influence pollution deposition indirectly.', 'When perspicuity means literally to see through something is true, it follows that if dogs are used for pets, then terrestrial features can influence pollution deposition indirectly.', "Should it be the case that the notion that 'dogs are used for pets' is untrue, it follows that people differ in their sensitivity to noise.", 'The claim that people differ in their sensitivity to noise is false.', 'It is a fact that either summaries highlight facts or either urinary bladder can absorb water, allowing some concentration or perspicuity means literally to see through something.', "Should it be the case that igneous activity produces intrusive rocks in northern Utah and volcanos in southwestern Utah, it follows that the statement 'summaries highlight facts' can be considered false.", "The statement 'igneous activity produces intrusive rocks in northern Utah and volcanos in southwestern Utah' can be considered true."]
|
Once we know terrestrial features can influence pollution deposition indirectly, we also know that litigation is both a means of protecting the rights of injured parties, and a means of education. One may reasonably assume that if urinary bladder can absorb water, allowing some concentration, then if dogs are used for pets, then terrestrial features can influence pollution deposition indirectly. When perspicuity means literally to see through something is true, it follows that if dogs are used for pets, then terrestrial features can influence pollution deposition indirectly. Should it be the case that the notion that 'dogs are used for pets' is untrue, it follows that people differ in their sensitivity to noise. The claim that people differ in their sensitivity to noise is false. It is a fact that either summaries highlight facts or either urinary bladder can absorb water, allowing some concentration or perspicuity means literally to see through something. Should it be the case that igneous activity produces intrusive rocks in northern Utah and volcanos in southwestern Utah, it follows that the statement 'summaries highlight facts' can be considered false. The statement 'igneous activity produces intrusive rocks in northern Utah and volcanos in southwestern Utah' can be considered true.
|
It is fair to say that litigation is both a means of protecting the rights of injured parties, and a means of education.
|
Litigation refers to the resolution of a dispute by law suit or court action.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2] [SC2-2]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If [2], then [1].).
If [4], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6]. [SC2-4]
Therefore, Either [3] or [4]..
[SC2-4]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [5].
Not [5].
Therefore, [2].
|
{0: 'Litigation is both a means of protecting the rights of injured parties, and a means of education.', 1: 'Terrestrial features can influence pollution deposition indirectly.', 2: 'Dogs are used for pets.', 3: 'Urinary bladder can absorb water, allowing some concentration.', 4: 'Perspicuity means literally to see through something.', 5: 'People differ in their sensitivity to noise.', 6: 'Summaries highlight facts.', 7: 'Igneous activity produces intrusive rocks in northern Utah and volcanos in southwestern Utah.'}
| 6 |
5,680 |
['Given that if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, it can be inferred that those that suggest doughnuts are food are wrong.', 'One may reasonably assume that if most large vertebrates have skeletons, then euclidean space is completely symmetrical under translation.', "Provided that the claim that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then the statement that 'euclidean space is completely symmetrical under translation' is incorrect does not correspond with reality, we know that some dogs survive in natural habitats.", 'It is not true that some dogs survive in natural habitats.', 'Once we know some people mistakenly believe that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then most large vertebrates have skeletons, we also know that diets include lean meat.', 'If avocados provide natural energy, then if some people mistakenly believe that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then most large vertebrates have skeletons, then the statement that states diets include lean meat is false.', 'It is reasonable to believe that avocados provide natural energy.']
|
Given that if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, it can be inferred that those that suggest doughnuts are food are wrong. One may reasonably assume that if most large vertebrates have skeletons, then euclidean space is completely symmetrical under translation. Provided that the claim that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then the statement that 'euclidean space is completely symmetrical under translation' is incorrect does not correspond with reality, we know that some dogs survive in natural habitats. It is not true that some dogs survive in natural habitats. Once we know some people mistakenly believe that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then most large vertebrates have skeletons, we also know that diets include lean meat. If avocados provide natural energy, then if some people mistakenly believe that if the statement, if if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change, then doughnuts are food, does not hold, then most large vertebrates have skeletons, then the statement that states diets include lean meat is false. It is reasonable to believe that avocados provide natural energy.
|
It is a common misconception that if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change.
|
It is a common misconception that if unaltered animals are generally the ones that are involved in bites, then ideological categories arise and subside as hierarchical power relationships change.
|
TRUE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (If [0], then [1].), then [2].).), then [3]. [SC1-2]
If (Not (If (If [0], then [1].), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (If [0], then [1].), then [2].).), then [4]. [SC1-3]
If [4], then [3].
Therefore, If (Not (If (If [0], then [1].), then [2].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then [6].
If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [6].). [SC2-4]
Therefore, If (Not (If (If [0], then [1].), then [2].).), then [4]..
[SC2-4]
Modus Ponens:
If [7], then (If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [6].).).
[7]
Therefore, If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [6].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (If [0], then [1].), then [2].).), then (Not [3].).).), then [5].
Not [5].
Therefore, If (Not (If (If [0], then [1].), then [2].).), then (Not [3].)..
|
{0: 'Unaltered animals are generally the ones that are involved in bites.', 1: 'Ideological categories arise and subside as hierarchical power relationships change.', 2: 'Doughnuts are food.', 3: 'Euclidean space is completely symmetrical under translation.', 4: 'Most large vertebrates have skeletons.', 5: 'Some dogs survive in natural habitats.', 6: 'Diets include lean meat.', 7: 'Avocados provide natural energy.'}
| 6 |
5,193 |
['If mammals however are big, then health counselors use tools.', 'At least one of two things is true: most bison have flavor, or if anthrax is an acute infectious disease caused by spore-forming bacterium Bacillus anthracis, then aunts have (part) necks.', 'The claim that most bison have flavor has no merit.', 'One may reasonably assume that if the claim that if aunts have (part) necks, then mammals however are big has no merit, then most religions make rules about human morals.', 'Some people mistakenly believe that most religions make rules about human morals.', "So long as mammals however are big, 'diploid germ undergoes meiosis' is true.", "Once we know diploid germ undergoes meiosis, we also know that the statement 'health counselors use tools' can be considered false."]
|
If mammals however are big, then health counselors use tools. At least one of two things is true: most bison have flavor, or if anthrax is an acute infectious disease caused by spore-forming bacterium Bacillus anthracis, then aunts have (part) necks. The claim that most bison have flavor has no merit. One may reasonably assume that if the claim that if aunts have (part) necks, then mammals however are big has no merit, then most religions make rules about human morals. Some people mistakenly believe that most religions make rules about human morals. So long as mammals however are big, 'diploid germ undergoes meiosis' is true. Once we know diploid germ undergoes meiosis, we also know that the statement 'health counselors use tools' can be considered false.
|
Those that suggest anthrax is an acute infectious disease caused by spore-forming bacterium Bacillus anthracis are wrong.
|
The statement 'anthrax is suspected of being responsible for a spate of deaths among heroin addicts in Europe' can be considered false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [0], then [2].).
Not [6].
Therefore, If [0], then [2]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [4].
Not [4].
Therefore, If [2], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3].
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If [1], then [5].
If [5], then (Not [3].).
Therefore, If [1], then (Not [3].)..
|
{0: 'Anthrax is an acute infectious disease caused by spore-forming bacterium Bacillus anthracis.', 1: 'Mammals however are big.', 2: 'Aunts have (part) necks.', 3: 'Health counselors use tools.', 4: 'Most religions make rules about human morals.', 5: 'Diploid germ undergoes meiosis.', 6: 'Most bison have flavor.'}
| 6 |
5,750 |
['Assuming the claim that natural tellurium consists of eight isotopes is false, we know that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets.', 'Some people mistakenly believe that girls feed ducks.', "So long as some people mistakenly believe that if it is not the case that if the notion that 'if the claim that natural tellurium consists of eight isotopes is false, then some people mistakenly believe that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets' is untrue, then girls feed ducks, then chimps lift heads, 'the statement that 'sketchbooks are books' is incorrect' is true.", 'Either one or both of these statements are true: if economic development is about what investors perceive, then many factors can affect our perception of color, or the claim that chimps lift heads is false.', 'We know that the claim that if economic development is about what investors perceive, then many factors can affect our perception of color is false.', "There is good reason to believe that either substance abuse is a massive public health problem or if some people mistakenly believe that if it is not the case that if the notion that 'if the claim that natural tellurium consists of eight isotopes is false, then some people mistakenly believe that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets' is untrue, then girls feed ducks, then chimps lift heads, then sketchbooks are books.", 'The statement that states substance abuse is a massive public health problem is false.']
|
Assuming the claim that natural tellurium consists of eight isotopes is false, we know that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets. Some people mistakenly believe that girls feed ducks. So long as some people mistakenly believe that if it is not the case that if the notion that 'if the claim that natural tellurium consists of eight isotopes is false, then some people mistakenly believe that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets' is untrue, then girls feed ducks, then chimps lift heads, 'the statement that 'sketchbooks are books' is incorrect' is true. Either one or both of these statements are true: if economic development is about what investors perceive, then many factors can affect our perception of color, or the claim that chimps lift heads is false. We know that the claim that if economic development is about what investors perceive, then many factors can affect our perception of color is false. There is good reason to believe that either substance abuse is a massive public health problem or if some people mistakenly believe that if it is not the case that if the notion that 'if the claim that natural tellurium consists of eight isotopes is false, then some people mistakenly believe that either gophers sometimes damage trees by girdling or clipping stems and by pruning roots or salt water is heated by the hot cooling water from the diesel generator sets' is untrue, then girls feed ducks, then chimps lift heads, then sketchbooks are books. The statement that states substance abuse is a massive public health problem is false.
|
It is reasonable to believe that natural tellurium consists of eight isotopes.
|
It is reasonable to believe that natural tellurium consists of eight isotopes.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3]. [SC1-2]
Not [3].
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4].).), then [7]. [SC1-4]
If (Not (If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4].).), then (Not [7].).
Therefore, If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If (Not (If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4].).), then [7].).
Not [8].
Therefore, If (Not (If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).), then [4].).), then [7]..
[SC2-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [4].).
Not (If [5], then [6].).
Therefore, Not [4]..
|
{0: 'Natural tellurium consists of eight isotopes.', 1: 'Gophers sometimes damage trees by girdling or clipping stems and by pruning roots.', 2: 'Salt water is heated by the hot cooling water from the diesel generator sets.', 3: 'Girls feed ducks.', 4: 'Chimps lift heads.', 5: 'Economic development is about what investors perceive.', 6: 'Many factors can affect our perception of color.', 7: 'Sketchbooks are books.', 8: 'Substance abuse is a massive public health problem.'}
| 6 |
5,181 |
["Whenever it is true that zoos are one of the most conventional methods of ex-situ conservation, 'the claim that either psychology is a science AND a profession or an electrostatic precipitator is an electrical device has no merit' is true.", 'Many people rightly believe that language is the crux of communication.', 'It is not true that if software companies are vendors, then documents are in the official language of the country of origin.', 'Should it be the case that we know that the claim that either if software companies are vendors, then documents are in the official language of the country of origin or if language is the crux of communication, then zoos are one of the most conventional methods of ex-situ conservation is false, it follows that hair stick to hold hair up in bun.', 'We know that either some populations also use trees or other hard surfaces as anvils in order to crack mollusks or lawyers are the administrators of justice, and the harvest of justice is peace.', 'Should it be the case that lawyers are the administrators of justice, and the harvest of justice is peace, it follows that the claim that hair stick to hold hair up in bun does not reflect reality.', 'Should it be the case that alcohol is the other drug used most frequently, followed by cocaine, it follows that if some populations also use trees or other hard surfaces as anvils in order to crack mollusks, then the claim that hair stick to hold hair up in bun does not reflect reality.', 'Many people rightly believe that alcohol is the other drug used most frequently, followed by cocaine.']
|
Whenever it is true that zoos are one of the most conventional methods of ex-situ conservation, 'the claim that either psychology is a science AND a profession or an electrostatic precipitator is an electrical device has no merit' is true. Many people rightly believe that language is the crux of communication. It is not true that if software companies are vendors, then documents are in the official language of the country of origin. Should it be the case that we know that the claim that either if software companies are vendors, then documents are in the official language of the country of origin or if language is the crux of communication, then zoos are one of the most conventional methods of ex-situ conservation is false, it follows that hair stick to hold hair up in bun. We know that either some populations also use trees or other hard surfaces as anvils in order to crack mollusks or lawyers are the administrators of justice, and the harvest of justice is peace. Should it be the case that lawyers are the administrators of justice, and the harvest of justice is peace, it follows that the claim that hair stick to hold hair up in bun does not reflect reality. Should it be the case that alcohol is the other drug used most frequently, followed by cocaine, it follows that if some populations also use trees or other hard surfaces as anvils in order to crack mollusks, then the claim that hair stick to hold hair up in bun does not reflect reality. Many people rightly believe that alcohol is the other drug used most frequently, followed by cocaine.
|
The claim that either psychology is a science AND a profession or an electrostatic precipitator is an electrical device has no merit.
|
We know that either psychology is a science AND a profession or an electrostatic precipitator is an electrical device.
|
FALSE
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).).
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Modus Ponens:
If [3], then [2]. [SC1-2]
[3]
Therefore, [2].
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [3], then [2].). [SC1-3]
Not (If [4], then [5].).
Therefore, If [3], then [2]..
[SC1-3]
Modus Tonens:
If (Not (Either (If [4], then [5].) or (If [3], then [2].).).), then [6].
Not [6]. [SC2-4]
Therefore, Either (If [4], then [5].) or (If [3], then [2].)..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].). [SC2-5]
If [8], then (Not [6].).
Therefore, Not [6]..
[SC2-5]
Modus Ponens:
If [9], then (If [7], then (Not [6].).).
[9]
Therefore, If [7], then (Not [6].)..
|
{0: 'Psychology is a science AND a profession.', 1: 'An electrostatic precipitator is an electrical device.', 2: 'Zoos are one of the most conventional methods of ex-situ conservation.', 3: 'Language is the crux of communication.', 4: 'Software companies are vendors.', 5: 'Documents are in the official language of the country of origin.', 6: 'Hair stick to hold hair up in bun.', 7: 'Some populations also use trees or other hard surfaces as anvils in order to crack mollusks.', 8: 'Lawyers are the administrators of justice, and the harvest of justice is peace.', 9: 'Alcohol is the other drug used most frequently, followed by cocaine.'}
| 6 |
5,535 |
['Once we know consensual sex requires sober, verbal communication that is free of threats, we also know that either theories provide insight or stucco creates a great deal of strength to resist wind loads.', 'We can assume that consensual sex requires sober, verbal communication that is free of threats.', 'Assuming the claim that if theories provide insight, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol has no merit, we know that dormant seeds have the potential to germinate but are prevented from doing so by some mechanism.', 'One may reasonably assume that if the claim that if theories provide insight, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol has no merit, then the claim that dormant seeds have the potential to germinate but are prevented from doing so by some mechanism does not reflect reality.', 'It is a fact that either statements concern results or if stucco creates a great deal of strength to resist wind loads, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol.', "There is good reason to believe that either green plants are the one efficient and renewable way to use directly the sun's energy or if local governments are accountable for actions that cause harm to individuals, then ingestion is an activity.", "When if local governments are accountable for actions that cause harm to individuals, then ingestion is an activity is true, it follows that the statement 'statements concern results' can be considered false.", "It is a fact that either most anabolic steroids affect men or if green plants are the one efficient and renewable way to use directly the sun's energy, then the statement 'statements concern results' can be considered false.", "The statement that 'most anabolic steroids affect men' is incorrect."]
|
Once we know consensual sex requires sober, verbal communication that is free of threats, we also know that either theories provide insight or stucco creates a great deal of strength to resist wind loads. We can assume that consensual sex requires sober, verbal communication that is free of threats. Assuming the claim that if theories provide insight, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol has no merit, we know that dormant seeds have the potential to germinate but are prevented from doing so by some mechanism. One may reasonably assume that if the claim that if theories provide insight, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol has no merit, then the claim that dormant seeds have the potential to germinate but are prevented from doing so by some mechanism does not reflect reality. It is a fact that either statements concern results or if stucco creates a great deal of strength to resist wind loads, then alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol. There is good reason to believe that either green plants are the one efficient and renewable way to use directly the sun's energy or if local governments are accountable for actions that cause harm to individuals, then ingestion is an activity. When if local governments are accountable for actions that cause harm to individuals, then ingestion is an activity is true, it follows that the statement 'statements concern results' can be considered false. It is a fact that either most anabolic steroids affect men or if green plants are the one efficient and renewable way to use directly the sun's energy, then the statement 'statements concern results' can be considered false. The statement that 'most anabolic steroids affect men' is incorrect.
|
It is a simple truth that alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol.
|
Aromatherapy combines fragrant oils with massage therapy evoking the senses of smell and touch.
|
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]
Modus Ponens:
If [4], then (Either [1] or [2].).
[4]
Therefore, Either [1] or [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [3].
If (Not (If [1], then [0].).), then (Not [3].).
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [5] or (If [2], then [0].).
Not [5]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Not [5].). [SC2-3]
If (If [7], then [8].), then (Not [5].).
Therefore, Not [5]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If [6], then (Not [5].).).
Not [9].
Therefore, If [6], then (Not [5].)..
|
{0: 'Alternative drugs used for stimulation include glucagon, clonidine, arginine and propranolol.', 1: 'Theories provide insight.', 2: 'Stucco creates a great deal of strength to resist wind loads.', 3: 'Dormant seeds have the potential to germinate but are prevented from doing so by some mechanism.', 4: 'Consensual sex requires sober, verbal communication that is free of threats.', 5: 'Statements concern results.', 6: "Green plants are the one efficient and renewable way to use directly the sun's energy.", 7: 'Local governments are accountable for actions that cause harm to individuals.', 8: 'Ingestion is an activity.', 9: 'Most anabolic steroids affect men.'}
| 6 |
5,484 |
['If we know that the claim that chimpanzees are part of apes is false, then hair is curly because the single hair varies in thickness.', 'Should it be the case that hair is curly because the single hair varies in thickness, it follows that import controls Some countries regulate the import of portable computers.', 'Once we know hair is curly because the single hair varies in thickness, we also know that either green peppercorns are also unripe berries with a mild, light flavor or auto accidents occur more frequently in big cities.', 'Provided that either green peppercorns are also unripe berries with a mild, light flavor or auto accidents occur more frequently in big cities, we know that it is not true that many gastropods have one shell in which the animal can withdraw.', 'It is not the case that hybridized plants are the result of a cross between two varieties.', 'Given that the claim that if import controls Some countries regulate the import of portable computers, then many gastropods have one shell in which the animal can withdraw is false, it can be inferred that either continuance is activities or uncertainty stems from decisions.', 'Provided that either continuance is activities or uncertainty stems from decisions, we know that hybridized plants are the result of a cross between two varieties.']
|
If we know that the claim that chimpanzees are part of apes is false, then hair is curly because the single hair varies in thickness. Should it be the case that hair is curly because the single hair varies in thickness, it follows that import controls Some countries regulate the import of portable computers. Once we know hair is curly because the single hair varies in thickness, we also know that either green peppercorns are also unripe berries with a mild, light flavor or auto accidents occur more frequently in big cities. Provided that either green peppercorns are also unripe berries with a mild, light flavor or auto accidents occur more frequently in big cities, we know that it is not true that many gastropods have one shell in which the animal can withdraw. It is not the case that hybridized plants are the result of a cross between two varieties. Given that the claim that if import controls Some countries regulate the import of portable computers, then many gastropods have one shell in which the animal can withdraw is false, it can be inferred that either continuance is activities or uncertainty stems from decisions. Provided that either continuance is activities or uncertainty stems from decisions, we know that hybridized plants are the result of a cross between two varieties.
|
Many people rightly believe that chimpanzees are part of apes.
|
Many people rightly believe that chimpanzees are part of apes.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [2]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then [2].).), then [6]. [SC1-4]
Not [6].
Therefore, If [3], then [2]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [3], then [2].).), then (Either [7] or [8].).
If (Either [7] or [8].), then [6].
Therefore, If (Not (If [3], then [2].).), then [6]..
[SC2-2]
Hypothetical Syllogism:
If [1], then (Either [4] or [5].).
If (Either [4] or [5].), then (Not [2].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Chimpanzees are part of apes.', 1: 'Hair is curly because the single hair varies in thickness.', 2: 'Many gastropods have one shell in which the animal can withdraw.', 3: 'Import controls Some countries regulate the import of portable computers.', 4: 'Green peppercorns are also unripe berries with a mild, light flavor.', 5: 'Auto accidents occur more frequently in big cities.', 6: 'Hybridized plants are the result of a cross between two varieties.', 7: 'Continuance is activities.', 8: 'Uncertainty stems from decisions.'}
| 6 |
5,200 |
["One may reasonably assume that if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then the claim that travel is travel does not reflect reality.", 'Either one or both of these statements are true: uncontrolled diabetes can lead to blindness, kidney failure, heart disease and stroke, or carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up.', 'Those that suggest uncontrolled diabetes can lead to blindness, kidney failure, heart disease and stroke are wrong.', 'It is a common misconception that some ferromagnetic materials have fields.', "Assuming the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, we know that some hunters report surface whales.", "Given that the notion that 'if the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, then the statement 'some hunters report surface whales' can be considered false' is untrue, it can be inferred that used paper is to be placed in a trash can by the toilet.", "Provided that the notion that 'if the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, then the statement 'some hunters report surface whales' can be considered false' is untrue, we know that the statement that states used paper is to be placed in a trash can by the toilet is false."]
|
One may reasonably assume that if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then the claim that travel is travel does not reflect reality. Either one or both of these statements are true: uncontrolled diabetes can lead to blindness, kidney failure, heart disease and stroke, or carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up. Those that suggest uncontrolled diabetes can lead to blindness, kidney failure, heart disease and stroke are wrong. It is a common misconception that some ferromagnetic materials have fields. Assuming the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, we know that some hunters report surface whales. Given that the notion that 'if the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, then the statement 'some hunters report surface whales' can be considered false' is untrue, it can be inferred that used paper is to be placed in a trash can by the toilet. Provided that the notion that 'if the claim that either some ferromagnetic materials have fields or if the statement 'if carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up, then those that suggest grazing is a technique used to create shadows and highlights are wrong' can be considered false, then travel is travel is false, then the statement 'some hunters report surface whales' can be considered false' is untrue, we know that the statement that states used paper is to be placed in a trash can by the toilet is false.
|
Those that suggest grazing is a technique used to create shadows and highlights are wrong.
|
It is rational to agree that grazing is a technique used to create shadows and highlights.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [3]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [3].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].). [SC1-3]
Not [4].
Therefore, If (Not (If [1], then (Not [0].).).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].).).), then [5].
If (Not (Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].).).), then (Not [5].). [SC2-4]
Therefore, Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].).).), then (Not [5].).).), then [6].
If (Not (If (Not (Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].).).), then (Not [5].).).), then (Not [6].).
Therefore, If (Not (Either [4] or (If (Not (If [1], then (Not [0].).).), then [3].).).), then (Not [5].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2].
Therefore, [1].
|
{0: 'Grazing is a technique used to create shadows and highlights.', 1: 'Carbon dioxide is the preferred agent, as it leaves no residue to be cleaned up.', 2: 'Uncontrolled diabetes can lead to blindness, kidney failure, heart disease and stroke.', 3: 'Travel is travel.', 4: 'Some ferromagnetic materials have fields.', 5: 'Some hunters report surface whales.', 6: 'Used paper is to be placed in a trash can by the toilet.'}
| 6 |
5,364 |
['The claim that damage is caused when the worm feeds in the fruit is false.', 'One may reasonably assume that if the statement, if some ancestors leave residues, then beavers eat plant matter, bark, twigs, and buds of different trees, does not hold, then alternative gifts are donations in honor of a recipient to support missions around the world.', 'Once we know it is not true that if those that suggest if if some ancestors leave residues, then beavers eat plant matter, bark, twigs, and buds of different trees, then it is not true that capitalism makes profits by the exploitation of labor are wrong, then damage is caused when the worm feeds in the fruit, we also know that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment.', 'Given that alternative gifts are donations in honor of a recipient to support missions around the world, it can be inferred that physical abuse harms the body.', "So long as alternative gifts are donations in honor of a recipient to support missions around the world, 'the statement, physical abuse harms the body, does not hold' is true.", 'Either one or both of these statements are true: either halogens also make up many of the commonly used anaesthetics used in surgery or electrolysis is proven and simple method to obtain hydrogen, or some teenagers engage in anti-social behavior in order to attract attention to themselves.', 'Should it be the case that either halogens also make up many of the commonly used anaesthetics used in surgery or electrolysis is proven and simple method to obtain hydrogen, it follows that we know that the claim that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment is false.', 'When some teenagers engage in anti-social behavior in order to attract attention to themselves is true, it follows that we know that the claim that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment is false.']
|
The claim that damage is caused when the worm feeds in the fruit is false. One may reasonably assume that if the statement, if some ancestors leave residues, then beavers eat plant matter, bark, twigs, and buds of different trees, does not hold, then alternative gifts are donations in honor of a recipient to support missions around the world. Once we know it is not true that if those that suggest if if some ancestors leave residues, then beavers eat plant matter, bark, twigs, and buds of different trees, then it is not true that capitalism makes profits by the exploitation of labor are wrong, then damage is caused when the worm feeds in the fruit, we also know that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment. Given that alternative gifts are donations in honor of a recipient to support missions around the world, it can be inferred that physical abuse harms the body. So long as alternative gifts are donations in honor of a recipient to support missions around the world, 'the statement, physical abuse harms the body, does not hold' is true. Either one or both of these statements are true: either halogens also make up many of the commonly used anaesthetics used in surgery or electrolysis is proven and simple method to obtain hydrogen, or some teenagers engage in anti-social behavior in order to attract attention to themselves. Should it be the case that either halogens also make up many of the commonly used anaesthetics used in surgery or electrolysis is proven and simple method to obtain hydrogen, it follows that we know that the claim that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment is false. When some teenagers engage in anti-social behavior in order to attract attention to themselves is true, it follows that we know that the claim that either predators selectively graze reproductive structures in a clonal marine organism or eutrophication is the build-up of nutrients in an aquatic environment is false.
|
It is not true that capitalism makes profits by the exploitation of labor.
|
The claim that capitalism is the only social system that bars the initiation of force in human relationships does not correspond with reality.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [3]. [SC1-2]
Not [3].
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [3].).), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-3]
Therefore, If (Not (If (If [1], then [2].), then (Not [0].).).), then [3]..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (Not (Either [5] or [6].).).
If [10], then (Not (Either [5] or [6].).).
Therefore, Not (Either [5] or [6].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [4].
Not [4]. [SC2-2]
Therefore, If [1], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [7].
If [4], then (Not [7].).
Therefore, Not [4]..
|
{0: 'Capitalism makes profits by the exploitation of labor.', 1: 'Some ancestors leave residues.', 2: 'Beavers eat plant matter, bark, twigs, and buds of different trees.', 3: 'Damage is caused when the worm feeds in the fruit.', 4: 'Alternative gifts are donations in honor of a recipient to support missions around the world.', 5: 'Predators selectively graze reproductive structures in a clonal marine organism.', 6: 'Eutrophication is the build-up of nutrients in an aquatic environment.', 7: 'Physical abuse harms the body.', 8: 'Halogens also make up many of the commonly used anaesthetics used in surgery.', 9: 'Electrolysis is proven and simple method to obtain hydrogen.', 10: 'Some teenagers engage in anti-social behavior in order to attract attention to themselves.'}
| 6 |
5,991 |
['Either one or both of these statements are true: domestic violence can have long-term effects on children, or psychologists overwhelmingly reject religious models of human morality, and with good reason.', 'The claim that domestic violence can have long-term effects on children does not reflect reality.', 'At least one of two things is true: people can have symptoms of fatigue, or toxicologists examine body fluids and organs for the presence of poisons, alcohol, and drugs.', 'Assuming people can have symptoms of fatigue, we know that many adolescents worry about their own sexuality as they come of age.', 'Once we know toxicologists examine body fluids and organs for the presence of poisons, alcohol, and drugs, we also know that most omnivores feed on leaves.', 'On the condition that the claim that if many adolescents worry about their own sexuality as they come of age, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age does not correspond with reality, it is definitely the case that term insurance is bought by millions of people for a number of reasons.', "The notion that 'term insurance is bought by millions of people for a number of reasons' is untrue.", 'One may reasonably assume that if we know that the claim that if most omnivores feed on leaves, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age is false, then some spiders have time.', 'When we know that the claim that if most omnivores feed on leaves, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age is false is true, it follows that the claim that some spiders have time does not reflect reality.']
|
Either one or both of these statements are true: domestic violence can have long-term effects on children, or psychologists overwhelmingly reject religious models of human morality, and with good reason. The claim that domestic violence can have long-term effects on children does not reflect reality. At least one of two things is true: people can have symptoms of fatigue, or toxicologists examine body fluids and organs for the presence of poisons, alcohol, and drugs. Assuming people can have symptoms of fatigue, we know that many adolescents worry about their own sexuality as they come of age. Once we know toxicologists examine body fluids and organs for the presence of poisons, alcohol, and drugs, we also know that most omnivores feed on leaves. On the condition that the claim that if many adolescents worry about their own sexuality as they come of age, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age does not correspond with reality, it is definitely the case that term insurance is bought by millions of people for a number of reasons. The notion that 'term insurance is bought by millions of people for a number of reasons' is untrue. One may reasonably assume that if we know that the claim that if most omnivores feed on leaves, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age is false, then some spiders have time. When we know that the claim that if most omnivores feed on leaves, then if psychologists overwhelmingly reject religious models of human morality, and with good reason, then if markets are used for trading, then digital cameras are hot for every age is false is true, it follows that the claim that some spiders have time does not reflect reality.
|
Whenever it is true that markets are used for trading, 'digital cameras are hot for every age' is true.
|
The claim that if markets are used for trading, then digital cameras are hot for every age has no merit.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [2], then (If [0], then [1].).). [SC2-2]
If [4], then (If [2], then (If [0], then [1].).). [SC3-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Constructive Dilemma:
Either [7] or [8].
If [7], then [3].
If [8], then [4].
Therefore, Either [3] or [4]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (If [2], then (If [0], then [1].).).).), then [6].
Not [6].
Therefore, If [3], then (If [2], then (If [0], then [1].).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [2], then (If [0], then [1].).).).), then [9].
If (Not (If [4], then (If [2], then (If [0], then [1].).).).), then (Not [9].).
Therefore, If [4], then (If [2], then (If [0], then [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or [2].
Not [5].
Therefore, [2].
|
{0: 'Markets are used for trading.', 1: 'Digital cameras are hot for every age.', 2: 'Psychologists overwhelmingly reject religious models of human morality, and with good reason.', 3: 'Many adolescents worry about their own sexuality as they come of age.', 4: 'Most omnivores feed on leaves.', 5: 'Domestic violence can have long-term effects on children.', 6: 'Term insurance is bought by millions of people for a number of reasons.', 7: 'People can have symptoms of fatigue.', 8: 'Toxicologists examine body fluids and organs for the presence of poisons, alcohol, and drugs.', 9: 'Some spiders have time.'}
| 6 |
5,462 |
['If extra chlorine is needed to effectively disinfect water from algae and bacteria, then fertilizers enhance consumer products.', 'Given that individuals share habitats, it can be inferred that fertilizers enhance consumer products.', 'Given that the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, it can be inferred that salamanders have flat heads.', 'Should it be the case that salamanders have flat heads, it follows that entertainers have (part) vacuoles.', 'We know that at least one of two things is true: budgies close beaks, or lung cancer is the biggest killer of cancers with almost a million deaths a year.', "Whenever it is true that budgies close beaks, 'if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then gallium arsenide is used in lasers which convert electricity into coherent light' is true.", "Should it be the case that lung cancer is the biggest killer of cancers with almost a million deaths a year, it follows that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then gallium arsenide is used in lasers which convert electricity into coherent light.", "Provided that it is not the case that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then the claim that gallium arsenide is used in lasers which convert electricity into coherent light does not reflect reality, we know that many elementary schools offer foreign languages as extracurricular activities at parents' expense.", "Assuming it is not the case that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then the claim that gallium arsenide is used in lasers which convert electricity into coherent light does not reflect reality, we know that some people mistakenly believe that many elementary schools offer foreign languages as extracurricular activities at parents' expense."]
|
If extra chlorine is needed to effectively disinfect water from algae and bacteria, then fertilizers enhance consumer products. Given that individuals share habitats, it can be inferred that fertilizers enhance consumer products. Given that the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, it can be inferred that salamanders have flat heads. Should it be the case that salamanders have flat heads, it follows that entertainers have (part) vacuoles. We know that at least one of two things is true: budgies close beaks, or lung cancer is the biggest killer of cancers with almost a million deaths a year. Whenever it is true that budgies close beaks, 'if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then gallium arsenide is used in lasers which convert electricity into coherent light' is true. Should it be the case that lung cancer is the biggest killer of cancers with almost a million deaths a year, it follows that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then gallium arsenide is used in lasers which convert electricity into coherent light. Provided that it is not the case that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then the claim that gallium arsenide is used in lasers which convert electricity into coherent light does not reflect reality, we know that many elementary schools offer foreign languages as extracurricular activities at parents' expense. Assuming it is not the case that if the claim that if the statement, either extra chlorine is needed to effectively disinfect water from algae and bacteria or individuals share habitats, does not hold, then the statement 'entertainers have (part) vacuoles' can be considered false does not reflect reality, then the claim that gallium arsenide is used in lasers which convert electricity into coherent light does not reflect reality, we know that some people mistakenly believe that many elementary schools offer foreign languages as extracurricular activities at parents' expense.
|
The claim that fertilizers enhance consumer products holds true.
|
It is not the case that fertilizers enhance consumer products.
|
FALSE
|
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].). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or [2].).), then [5].
If [5], then [3].
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then (Not [4].). [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then (Not [3].)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then [4].).
If [7], then (If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then [4].).
Therefore, If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then (Not [4].).).), then [8].
If (Not (If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then (Not [4].).).), then (Not [8].).
Therefore, If (Not (If (Not (Either [1] or [2].).), then (Not [3].).).), then (Not [4].)..
|
{0: 'Fertilizers enhance consumer products.', 1: 'Extra chlorine is needed to effectively disinfect water from algae and bacteria.', 2: 'Individuals share habitats.', 3: 'Entertainers have (part) vacuoles.', 4: 'Gallium arsenide is used in lasers which convert electricity into coherent light.', 5: 'Salamanders have flat heads.', 6: 'Budgies close beaks.', 7: 'Lung cancer is the biggest killer of cancers with almost a million deaths a year.', 8: "Many elementary schools offer foreign languages as extracurricular activities at parents' expense."}
| 6 |
5,356 |
['When areas have surplus is true, it follows that either onion thrips are thrips or competition is the thing that makes the world work, and socialism suppresses competition.', 'The claim that biomedical ethics involves two basic principles does not reflect reality.', 'One may reasonably assume that if some people mistakenly believe that if microwaves break down chemical bonds in an inert nitrogen atmosphere, then if the statement that states if areas have surplus, then the claim that either onion thrips are thrips or competition is the thing that makes the world work, and socialism suppresses competition does not correspond with reality is false, then biomedical ethics involves two basic principles, then luck is a major factor in life.', "The statement 'luck is a major factor in life' can be considered false.", 'Assuming most heat is produced by weather, we know that microwaves break down chemical bonds in an inert nitrogen atmosphere.', "So long as if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry, 'microwaves break down chemical bonds in an inert nitrogen atmosphere' is true.", "Should it be the case that the statement that 'either most heat is produced by weather or if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry' is incorrect, it follows that secondary injuries are injuries that occur when there is a lack of proper support.", "Should it be the case that the statement that 'either most heat is produced by weather or if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry' is incorrect, it follows that the claim that secondary injuries are injuries that occur when there is a lack of proper support has no merit."]
|
When areas have surplus is true, it follows that either onion thrips are thrips or competition is the thing that makes the world work, and socialism suppresses competition. The claim that biomedical ethics involves two basic principles does not reflect reality. One may reasonably assume that if some people mistakenly believe that if microwaves break down chemical bonds in an inert nitrogen atmosphere, then if the statement that states if areas have surplus, then the claim that either onion thrips are thrips or competition is the thing that makes the world work, and socialism suppresses competition does not correspond with reality is false, then biomedical ethics involves two basic principles, then luck is a major factor in life. The statement 'luck is a major factor in life' can be considered false. Assuming most heat is produced by weather, we know that microwaves break down chemical bonds in an inert nitrogen atmosphere. So long as if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry, 'microwaves break down chemical bonds in an inert nitrogen atmosphere' is true. Should it be the case that the statement that 'either most heat is produced by weather or if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry' is incorrect, it follows that secondary injuries are injuries that occur when there is a lack of proper support. Should it be the case that the statement that 'either most heat is produced by weather or if song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional, then hydrates are compounds that have major implications for the natural gas industry' is incorrect, it follows that the claim that secondary injuries are injuries that occur when there is a lack of proper support has no merit.
|
It is not the case that areas have surplus.
|
The statement 'areas have surplus' can be considered true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].).
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3]. [SC1-2]
Not [3].
Therefore, If [0], then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].). [SC1-3]
[4] [SC2-3]
Therefore, If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3]..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].).).), then [8].
Not [8].
Therefore, If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].)..
[SC2-3]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-4]
If [5], then [4].
If (If [6], then [7].), then [4].
Therefore, [4].
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [5] or (If [6], then [7].).).), then [9].
If (Not (Either [5] or (If [6], then [7].).).), then (Not [9].).
Therefore, Either [5] or (If [6], then [7].)..
|
{0: 'Areas have surplus.', 1: 'Onion thrips are thrips.', 2: 'Competition is the thing that makes the world work, and socialism suppresses competition.', 3: 'Biomedical ethics involves two basic principles.', 4: 'Microwaves break down chemical bonds in an inert nitrogen atmosphere.', 5: 'Most heat is produced by weather.', 6: 'Song parodies are intentional murder of song lyrics, where-as misheard lyrics are unintentional.', 7: 'Hydrates are compounds that have major implications for the natural gas industry.', 8: 'Luck is a major factor in life.', 9: 'Secondary injuries are injuries that occur when there is a lack of proper support.'}
| 6 |
5,002 |
['Given that if some cancer cells produce hormones while others continue to divide and produce more abnormal cells, then struvite stones occur in conjunction with bacterial infection of the bladder, it can be inferred that energy is arguably the central unifying concept in physics.', "Should it be the case that most people own radios, but no other electrical appliances, it follows that the statement that 'energy is arguably the central unifying concept in physics' is incorrect.", 'Those that suggest most people own radios, but no other electrical appliances are right.', 'We know that either some animals have blubber or if the claim that peanuts are a common dietary staple for many children has no merit, then if some cancer cells produce hormones while others continue to divide and produce more abnormal cells, then struvite stones occur in conjunction with bacterial infection of the bladder.', "So long as some animals have blubber, 'either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates' is true.", "One may reasonably assume that if either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates, then psychology is a science of great variety.", "On the condition that either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates, it is definitely the case that it is not true that psychology is a science of great variety."]
|
Given that if some cancer cells produce hormones while others continue to divide and produce more abnormal cells, then struvite stones occur in conjunction with bacterial infection of the bladder, it can be inferred that energy is arguably the central unifying concept in physics. Should it be the case that most people own radios, but no other electrical appliances, it follows that the statement that 'energy is arguably the central unifying concept in physics' is incorrect. Those that suggest most people own radios, but no other electrical appliances are right. We know that either some animals have blubber or if the claim that peanuts are a common dietary staple for many children has no merit, then if some cancer cells produce hormones while others continue to divide and produce more abnormal cells, then struvite stones occur in conjunction with bacterial infection of the bladder. So long as some animals have blubber, 'either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates' is true. One may reasonably assume that if either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates, then psychology is a science of great variety. On the condition that either deep pools are necessary for many aspects of red-legged frogs' life cycle or humans are primates, it is definitely the case that it is not true that psychology is a science of great variety.
|
The statement 'peanuts are a common dietary staple for many children' is true.
|
Peanuts cause reaction.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (If [3], then [4].). [SC1-2]
If (If [3], then [4].), then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not [0].), then (If [3], then [4].).).
Not [5]. [SC2-3]
Therefore, If (Not [0].), then (If [3], then [4].)..
[SC2-3]
Modus Tonens:
If [5], then (Either [6] or [7].).
Not (Either [6] or [7].). [SC2-4]
Therefore, Not [5]..
[SC2-4]
Reductio Ad Absurdum:
If (Either [6] or [7].), then [8].
If (Either [6] or [7].), then (Not [8].).
Therefore, Not (Either [6] or [7].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Peanuts are a common dietary staple for many children.', 1: 'Energy is arguably the central unifying concept in physics.', 2: 'Most people own radios, but no other electrical appliances.', 3: 'Some cancer cells produce hormones while others continue to divide and produce more abnormal cells.', 4: 'Struvite stones occur in conjunction with bacterial infection of the bladder.', 5: 'Some animals have blubber.', 6: "Deep pools are necessary for many aspects of red-legged frogs' life cycle.", 7: 'Humans are primates.', 8: 'Psychology is a science of great variety.'}
| 6 |
5,478 |
['It is not true that psychosexual development is growth.', 'When the statement, either either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations or either psychosexual development is growth or accidents cause more death and disability in children than diseases, drugs, or violence, does not hold is true, it follows that some people mistakenly believe that if some pinworms feed on bacteria, then fertilization provides nourishment.', 'Once we know either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations, we also know that either officers have authority or some high rainfall affects fruit flavor.', "Given that either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations, it can be inferred that the statement 'either officers have authority or some high rainfall affects fruit flavor' can be considered false.", 'Either one or both of these statements are true: some sheep eat seedlings, or if the statement, either either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations or either psychosexual development is growth or accidents cause more death and disability in children than diseases, drugs, or violence, does not hold, then if some pinworms feed on bacteria, then fertilization provides nourishment.', "So long as anger is a choice, as well as a habit, 'the statement, some sheep eat seedlings, does not hold' is true.", 'The idea that anger is a choice, as well as a habit is true.']
|
It is not true that psychosexual development is growth. When the statement, either either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations or either psychosexual development is growth or accidents cause more death and disability in children than diseases, drugs, or violence, does not hold is true, it follows that some people mistakenly believe that if some pinworms feed on bacteria, then fertilization provides nourishment. Once we know either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations, we also know that either officers have authority or some high rainfall affects fruit flavor. Given that either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations, it can be inferred that the statement 'either officers have authority or some high rainfall affects fruit flavor' can be considered false. Either one or both of these statements are true: some sheep eat seedlings, or if the statement, either either geophysicists already eavesdrop on low-frequency vibrations using seismometers or some people have seizures or hallucinations or either psychosexual development is growth or accidents cause more death and disability in children than diseases, drugs, or violence, does not hold, then if some pinworms feed on bacteria, then fertilization provides nourishment. So long as anger is a choice, as well as a habit, 'the statement, some sheep eat seedlings, does not hold' is true. The idea that anger is a choice, as well as a habit is true.
|
It is fair to say that accidents cause more death and disability in children than diseases, drugs, or violence.
|
The statement that states accidents cause more death and disability in children than diseases, drugs, or violence is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Either [1] or [0].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (If [6], then [7].). [SC1-3]
If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (If [6], then [7].).).
Therefore, Either (Either [2] or [3].) or (Either [1] or [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (If [6], then [7].).).
Not [8]. [SC2-4]
Therefore, If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (If [6], then [7].)..
[SC2-4]
Modus Ponens:
If [9], then (Not [8].).
[9]
Therefore, Not [8]..
[SC2-2]
Reductio Ad Absurdum:
If (Either [2] or [3].), then (Either [4] or [5].).
If (Either [2] or [3].), then (Not (Either [4] or [5].).).
Therefore, Not (Either [2] or [3].)..
|
{0: 'Accidents cause more death and disability in children than diseases, drugs, or violence.', 1: 'Psychosexual development is growth.', 2: 'Geophysicists already eavesdrop on low-frequency vibrations using seismometers.', 3: 'Some people have seizures or hallucinations.', 4: 'Officers have authority.', 5: 'Some high rainfall affects fruit flavor.', 6: 'Some pinworms feed on bacteria.', 7: 'Fertilization provides nourishment.', 8: 'Some sheep eat seedlings.', 9: 'Anger is a choice, as well as a habit.'}
| 6 |
5,695 |
["Whenever it is true that the statement that states if companies find homes, then some people mistakenly believe that silvicultural operations refer to the various activities used to manage our forests is false, 'foxes can pass rabies to other animals, such as domestic pets' is true.", 'Provided that zebras are a common grazer of the African savanna, we know that companies find homes.', 'It is rational to believe that either some insects have tubes or rhenium is rare and is used in special light bulb filiments.', 'Should it be the case that some insects have tubes, it follows that we know that the claim that foxes can pass rabies to other animals, such as domestic pets is false.', "Whenever it is true that rhenium is rare and is used in special light bulb filiments, 'we know that the claim that foxes can pass rabies to other animals, such as domestic pets is false' is true.", 'It is a common misconception that light competition helps force the hardwoods to grow in a straight up direction.', 'One may reasonably assume that if it is not true that either light competition helps force the hardwoods to grow in a straight up direction or zebras are a common grazer of the African savanna, then printers are capable of work.', 'Those that suggest printers are capable of work are wrong.']
|
Whenever it is true that the statement that states if companies find homes, then some people mistakenly believe that silvicultural operations refer to the various activities used to manage our forests is false, 'foxes can pass rabies to other animals, such as domestic pets' is true. Provided that zebras are a common grazer of the African savanna, we know that companies find homes. It is rational to believe that either some insects have tubes or rhenium is rare and is used in special light bulb filiments. Should it be the case that some insects have tubes, it follows that we know that the claim that foxes can pass rabies to other animals, such as domestic pets is false. Whenever it is true that rhenium is rare and is used in special light bulb filiments, 'we know that the claim that foxes can pass rabies to other animals, such as domestic pets is false' is true. It is a common misconception that light competition helps force the hardwoods to grow in a straight up direction. One may reasonably assume that if it is not true that either light competition helps force the hardwoods to grow in a straight up direction or zebras are a common grazer of the African savanna, then printers are capable of work. Those that suggest printers are capable of work are wrong.
|
Some people mistakenly believe that silvicultural operations refer to the various activities used to manage our forests.
|
The statement 'silvicultural operations refer to the various activities used to manage our forests' is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [2].).
If [5], then (Not [2].).
Therefore, Not [2]..
[SC2-1]
Modus Ponens:
If [3], then [1].
[3] [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [6] or [3]. [SC1-3]
Not [6].
Therefore, [3].
[SC1-3]
Modus Tonens:
If (Not (Either [6] or [3].).), then [7].
Not [7].
Therefore, Either [6] or [3]..
|
{0: 'Silvicultural operations refer to the various activities used to manage our forests.', 1: 'Companies find homes.', 2: 'Foxes can pass rabies to other animals, such as domestic pets.', 3: 'Zebras are a common grazer of the African savanna.', 4: 'Some insects have tubes.', 5: 'Rhenium is rare and is used in special light bulb filiments.', 6: 'Light competition helps force the hardwoods to grow in a straight up direction.', 7: 'Printers are capable of work.'}
| 6 |
5,253 |
['At least one of two things is true: cluster flies tend to hibernate between the wall studs or floor joists, or ovulation is the process of shedding of ovum from the Graffian follicle.', 'The claim that either students record measurements or deceaseds have (part) legs does not reflect reality.', "It is a fact that either either sulfite sensitivity can be tricky to diagnose or anger is a common response when dealing with an intense loss or either chinese civilization is one of the world 's oldest continuous civilizations or alcoholic beverages are mixture.", 'Should it be the case that either sulfite sensitivity can be tricky to diagnose or anger is a common response when dealing with an intense loss, it follows that if cluster flies tend to hibernate between the wall studs or floor joists, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response.', "Assuming either chinese civilization is one of the world 's oldest continuous civilizations or alcoholic beverages are mixture, we know that if cluster flies tend to hibernate between the wall studs or floor joists, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response.", 'We know that either strawberries are a true California crop or water chevrotains have strategies.', 'Should it be the case that strawberries are a true California crop, it follows that if ovulation is the process of shedding of ovum from the Graffian follicle, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response.', 'Should it be the case that water chevrotains have strategies, it follows that if ovulation is the process of shedding of ovum from the Graffian follicle, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response.', 'Once we know most platypuses have teeth, we also know that either either students record measurements or deceaseds have (part) legs or if histamine is a cell mediator usually involved in the inflammatory response, then viruses are very simple forms of life.', 'The statement that states most platypuses have teeth is right.']
|
At least one of two things is true: cluster flies tend to hibernate between the wall studs or floor joists, or ovulation is the process of shedding of ovum from the Graffian follicle. The claim that either students record measurements or deceaseds have (part) legs does not reflect reality. It is a fact that either either sulfite sensitivity can be tricky to diagnose or anger is a common response when dealing with an intense loss or either chinese civilization is one of the world 's oldest continuous civilizations or alcoholic beverages are mixture. Should it be the case that either sulfite sensitivity can be tricky to diagnose or anger is a common response when dealing with an intense loss, it follows that if cluster flies tend to hibernate between the wall studs or floor joists, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response. Assuming either chinese civilization is one of the world 's oldest continuous civilizations or alcoholic beverages are mixture, we know that if cluster flies tend to hibernate between the wall studs or floor joists, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response. We know that either strawberries are a true California crop or water chevrotains have strategies. Should it be the case that strawberries are a true California crop, it follows that if ovulation is the process of shedding of ovum from the Graffian follicle, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response. Should it be the case that water chevrotains have strategies, it follows that if ovulation is the process of shedding of ovum from the Graffian follicle, then if ear aches require medical attention and strict adherence to medical advice, then histamine is a cell mediator usually involved in the inflammatory response. Once we know most platypuses have teeth, we also know that either either students record measurements or deceaseds have (part) legs or if histamine is a cell mediator usually involved in the inflammatory response, then viruses are very simple forms of life. The statement that states most platypuses have teeth is right.
|
Should it be the case that ear aches require medical attention and strict adherence to medical advice, it follows that viruses are very simple forms of life.
|
Should it be the case that ear aches require medical attention and strict adherence to medical advice, it follows that viruses are very simple forms of life.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [0], then [2].). [SC2-2]
If [6], then (If [0], then [2].). [SC3-2]
Therefore, If [0], then [2]..
[SC2-2]
Disjunction Elimination:
Either (Either [9] or [10].) or (Either [11] or [12].).
If (Either [9] or [10].), then (If [5], then (If [0], then [2].).).
If (Either [11] or [12].), then (If [5], then (If [0], then [2].).).
Therefore, If [5], then (If [0], then [2].)..
[SC3-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If [0], then [2].).).
If [8], then (If [6], then (If [0], then [2].).).
Therefore, If [6], then (If [0], then [2].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If [2], then [1].). [SC1-2]
Not (Either [3] or [4].).
Therefore, If [2], then [1]..
[SC1-2]
Modus Ponens:
If [13], then (Either (Either [3] or [4].) or (If [2], then [1].).).
[13]
Therefore, Either (Either [3] or [4].) or (If [2], then [1].)..
|
{0: 'Ear aches require medical attention and strict adherence to medical advice.', 1: 'Viruses are very simple forms of life.', 2: 'Histamine is a cell mediator usually involved in the inflammatory response.', 3: 'Students record measurements.', 4: 'Deceaseds have (part) legs.', 5: 'Cluster flies tend to hibernate between the wall studs or floor joists.', 6: 'Ovulation is the process of shedding of ovum from the Graffian follicle.', 7: 'Strawberries are a true California crop.', 8: 'Water chevrotains have strategies.', 9: 'Sulfite sensitivity can be tricky to diagnose.', 10: 'Anger is a common response when dealing with an intense loss.', 11: "Chinese civilization is one of the world 's oldest continuous civilizations .", 12: 'Alcoholic beverages are mixture.', 13: 'Most platypuses have teeth.'}
| 6 |
5,667 |
["The statement that 'if interracial marriage is marriage between two people of different races, then scientific literacy is important to gain an advantage in the technologically advance society' is incorrect.", 'Assuming the statement, either if interracial marriage is marriage between two people of different races, then scientific literacy is important to gain an advantage in the technologically advance society or many husbands see divorce and then remarriage as the only alternative to have children, does not hold, we know that most dingos kill sheep.', 'On the condition that if drugs typically work by interacting strongly, in a structure-specific way, with particular proteins, then pregnancy is divided into three-month periods, called trimesters, it is definitely the case that either either safety is a relative term or assurance means comfort, and comfort means joy, peace, and love or it is not the case that most dingos kill sheep.', 'Should it be the case that drugs typically work by interacting strongly, in a structure-specific way, with particular proteins, it follows that pregnancy is divided into three-month periods, called trimesters.', 'Either one or both of these statements are true: awareness is developed by the use of Attention, or the claim that either safety is a relative term or assurance means comfort, and comfort means joy, peace, and love does not correspond with reality.', 'We know that either excretion is the removal of substances from plants, animals and other living organisms or the claim that awareness is developed by the use of Attention does not correspond with reality.', "The statement 'excretion is the removal of substances from plants, animals and other living organisms' can be considered false."]
|
The statement that 'if interracial marriage is marriage between two people of different races, then scientific literacy is important to gain an advantage in the technologically advance society' is incorrect. Assuming the statement, either if interracial marriage is marriage between two people of different races, then scientific literacy is important to gain an advantage in the technologically advance society or many husbands see divorce and then remarriage as the only alternative to have children, does not hold, we know that most dingos kill sheep. On the condition that if drugs typically work by interacting strongly, in a structure-specific way, with particular proteins, then pregnancy is divided into three-month periods, called trimesters, it is definitely the case that either either safety is a relative term or assurance means comfort, and comfort means joy, peace, and love or it is not the case that most dingos kill sheep. Should it be the case that drugs typically work by interacting strongly, in a structure-specific way, with particular proteins, it follows that pregnancy is divided into three-month periods, called trimesters. Either one or both of these statements are true: awareness is developed by the use of Attention, or the claim that either safety is a relative term or assurance means comfort, and comfort means joy, peace, and love does not correspond with reality. We know that either excretion is the removal of substances from plants, animals and other living organisms or the claim that awareness is developed by the use of Attention does not correspond with reality. The statement 'excretion is the removal of substances from plants, animals and other living organisms' can be considered false.
|
It is a simple truth that many husbands see divorce and then remarriage as the only alternative to have children.
|
It is a simple truth that many husbands see divorce and then remarriage as the only alternative to have children.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or [0].).), then [3].
Not [3]. [SC2-2]
Therefore, Either (If [1], then [2].) or [0]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Not [3].). [SC1-3]
Not (Either [4] or [5].). [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If (If [6], then [7].), then (Either (Either [4] or [5].) or (Not [3].).).
If [6], then [7].
Therefore, Either (Either [4] or [5].) or (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not (Either [4] or [5].).).
Not [8]. [SC2-4]
Therefore, Not (Either [4] or [5].)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not [8].).
Not [9].
Therefore, Not [8]..
|
{0: 'Many husbands see divorce and then remarriage as the only alternative to have children.', 1: 'Interracial marriage is marriage between two people of different races.', 2: 'Scientific literacy is important to gain an advantage in the technologically advance society.', 3: 'Most dingos kill sheep.', 4: 'Safety is a relative term.', 5: 'Assurance means comfort, and comfort means joy, peace, and love.', 6: 'Drugs typically work by interacting strongly, in a structure-specific way, with particular proteins.', 7: 'Pregnancy is divided into three-month periods, called trimesters.', 8: 'Awareness is developed by the use of Attention.', 9: 'Excretion is the removal of substances from plants, animals and other living organisms.'}
| 6 |
5,085 |
['We know that either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands.', 'We know that either low humidity can cause snoring by drying out the mucus membranes or librarians provide access to physical and intellectual collections of recorded knowledge.', 'One may reasonably assume that if low humidity can cause snoring by drying out the mucus membranes, then either some western men take the position that monogamy protect the rights of women or whales are mammals, which means the sperm whale has lungs and breathes air.', 'When librarians provide access to physical and intellectual collections of recorded knowledge is true, it follows that either some western men take the position that monogamy protect the rights of women or whales are mammals, which means the sperm whale has lungs and breathes air.', 'At least one of two things is true: volcanology is the study of volcanoes, their origin, behavior and mode of occurrence, or if some western men take the position that monogamy protect the rights of women , then if either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands, then tamoxifen has a few important side effects .', 'The statement, volcanology is the study of volcanoes, their origin, behavior and mode of occurrence, does not hold.', 'Should it be the case that bread is food, it follows that if whales are mammals, which means the sperm whale has lungs and breathes air, then if either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands, then tamoxifen has a few important side effects .', 'There is good reason to believe that either diversification is the switch from one productive product to a wider range of products or bread is food.', "The statement that 'diversification is the switch from one productive product to a wider range of products' is incorrect."]
|
We know that either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands. We know that either low humidity can cause snoring by drying out the mucus membranes or librarians provide access to physical and intellectual collections of recorded knowledge. One may reasonably assume that if low humidity can cause snoring by drying out the mucus membranes, then either some western men take the position that monogamy protect the rights of women or whales are mammals, which means the sperm whale has lungs and breathes air. When librarians provide access to physical and intellectual collections of recorded knowledge is true, it follows that either some western men take the position that monogamy protect the rights of women or whales are mammals, which means the sperm whale has lungs and breathes air. At least one of two things is true: volcanology is the study of volcanoes, their origin, behavior and mode of occurrence, or if some western men take the position that monogamy protect the rights of women , then if either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands, then tamoxifen has a few important side effects . The statement, volcanology is the study of volcanoes, their origin, behavior and mode of occurrence, does not hold. Should it be the case that bread is food, it follows that if whales are mammals, which means the sperm whale has lungs and breathes air, then if either verbs can modify nouns or other verbs, but nouns can only modify nouns directly or dispersal redistributes budworms within the crown and between trees and stands, then tamoxifen has a few important side effects . There is good reason to believe that either diversification is the switch from one productive product to a wider range of products or bread is food. The statement that 'diversification is the switch from one productive product to a wider range of products' is incorrect.
|
The claim that tamoxifen has a few important side effects is true.
|
The claim that tamoxifen has a few important side effects is true.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Either [1] or [2].), then [0].). [SC2-2]
If [4], then (If (Either [1] or [2].), then [0].). [SC3-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].).
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [3], then (If (Either [1] or [2].), then [0].).).
Not [5].
Therefore, If [3], then (If (Either [1] or [2].), then [0].)..
[SC3-2]
Modus Ponens:
If [8], then (If [4], then (If (Either [1] or [2].), then [0].).).
[8] [SC2-3]
Therefore, If [4], then (If (Either [1] or [2].), then [0].)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [8].
Not [9].
Therefore, [8].
|
{0: 'Tamoxifen has a few important side effects .', 1: 'Verbs can modify nouns or other verbs, but nouns can only modify nouns directly.', 2: 'Dispersal redistributes budworms within the crown and between trees and stands.', 3: 'Some western men take the position that monogamy protect the rights of women .', 4: 'Whales are mammals, which means the sperm whale has lungs and breathes air.', 5: 'Volcanology is the study of volcanoes, their origin, behavior and mode of occurrence.', 6: 'Low humidity can cause snoring by drying out the mucus membranes.', 7: 'Librarians provide access to physical and intellectual collections of recorded knowledge.', 8: 'Bread is food.', 9: 'Diversification is the switch from one productive product to a wider range of products.'}
| 6 |
5,969 |
['It is true that apricots have (part) stumps.', 'We can assume that bereaved parents wonder how to communicate with surviving children.', 'On the condition that apricots have (part) stumps, it is definitely the case that parrots operate at all times out of a flock mentality.', 'On the condition that parrots operate at all times out of a flock mentality, it is definitely the case that if humans are more complex than worms, then trains are video games.', 'Either coprolalia is basically compulsive swearing or pointed toes can also cause overlapping toes and toe nail problems.', 'One may reasonably assume that if pointed toes can also cause overlapping toes and toe nail problems, then if bereaved parents wonder how to communicate with surviving children, then humans are more complex than worms.', "When the statement 'if coprolalia is basically compulsive swearing, then if bereaved parents wonder how to communicate with surviving children, then humans are more complex than worms' can be considered false is true, it follows that if fever is triggered when the hypothalamus's set point is changed by the action of cytokines, then gallbladder disease can occur with or without gallstones.", "It is not the case that if fever is triggered when the hypothalamus's set point is changed by the action of cytokines, then gallbladder disease can occur with or without gallstones."]
|
It is true that apricots have (part) stumps. We can assume that bereaved parents wonder how to communicate with surviving children. On the condition that apricots have (part) stumps, it is definitely the case that parrots operate at all times out of a flock mentality. On the condition that parrots operate at all times out of a flock mentality, it is definitely the case that if humans are more complex than worms, then trains are video games. Either coprolalia is basically compulsive swearing or pointed toes can also cause overlapping toes and toe nail problems. One may reasonably assume that if pointed toes can also cause overlapping toes and toe nail problems, then if bereaved parents wonder how to communicate with surviving children, then humans are more complex than worms. When the statement 'if coprolalia is basically compulsive swearing, then if bereaved parents wonder how to communicate with surviving children, then humans are more complex than worms' can be considered false is true, it follows that if fever is triggered when the hypothalamus's set point is changed by the action of cytokines, then gallbladder disease can occur with or without gallstones. It is not the case that if fever is triggered when the hypothalamus's set point is changed by the action of cytokines, then gallbladder disease can occur with or without gallstones.
|
It is a simple truth that trains are video games.
|
It is a simple truth that trains are video games.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (If [1], then [0].).
Therefore, If [2], then (If [1], then [0].)..
[SC2-1]
Modus Ponens:
If [3], then [1]. [SC1-2]
[3]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [1].). [SC2-3]
If [6], then (If [3], then [1].).
Therefore, If [3], then [1]..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (If [3], then [1].).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [5], then (If [3], then [1].)..
|
{0: 'Trains are video games.', 1: 'Humans are more complex than worms.', 2: 'Apricots have (part) stumps.', 3: 'Bereaved parents wonder how to communicate with surviving children.', 4: 'Parrots operate at all times out of a flock mentality.', 5: 'Coprolalia is basically compulsive swearing.', 6: 'Pointed toes can also cause overlapping toes and toe nail problems.', 7: "Fever is triggered when the hypothalamus's set point is changed by the action of cytokines.", 8: 'Gallbladder disease can occur with or without gallstones.'}
| 6 |
5,075 |
["Whenever it is true that those that suggest if some medical conditions contribute to death, then growth is yin or expansive, while aging is the process in which things become yang or contracted are wrong, 'if population density is closely related to the spread of certain diseases, then lanes are road surfaces' is true.", 'When estrogens stimulate breast tissue and the lining of the uterus is true, it follows that either malignant hyperthermia is a potentially lethal hazard during anesthesia or the claim that if population density is closely related to the spread of certain diseases, then lanes are road surfaces has no merit.', "Once we know malignant hyperthermia is a potentially lethal hazard during anesthesia, we also know that the statement 'flesh Consuming See biophagous, carnivorous, feeding' can be considered false.", 'Should it be the case that water is a chemical, it follows that estrogens stimulate breast tissue and the lining of the uterus.', 'The claim that water is a chemical is true.', "So long as malignant hyperthermia is a potentially lethal hazard during anesthesia, 'either smog can be harmful to the health of humans, animals and plant life including essential food crops or snowstorms have cold temperature' is true.", 'On the condition that either smog can be harmful to the health of humans, animals and plant life including essential food crops or snowstorms have cold temperature, it is definitely the case that flesh Consuming See biophagous, carnivorous, feeding.']
|
Whenever it is true that those that suggest if some medical conditions contribute to death, then growth is yin or expansive, while aging is the process in which things become yang or contracted are wrong, 'if population density is closely related to the spread of certain diseases, then lanes are road surfaces' is true. When estrogens stimulate breast tissue and the lining of the uterus is true, it follows that either malignant hyperthermia is a potentially lethal hazard during anesthesia or the claim that if population density is closely related to the spread of certain diseases, then lanes are road surfaces has no merit. Once we know malignant hyperthermia is a potentially lethal hazard during anesthesia, we also know that the statement 'flesh Consuming See biophagous, carnivorous, feeding' can be considered false. Should it be the case that water is a chemical, it follows that estrogens stimulate breast tissue and the lining of the uterus. The claim that water is a chemical is true. So long as malignant hyperthermia is a potentially lethal hazard during anesthesia, 'either smog can be harmful to the health of humans, animals and plant life including essential food crops or snowstorms have cold temperature' is true. On the condition that either smog can be harmful to the health of humans, animals and plant life including essential food crops or snowstorms have cold temperature, it is definitely the case that flesh Consuming See biophagous, carnivorous, feeding.
|
Given that some medical conditions contribute to death, it can be inferred that growth is yin or expansive, while aging is the process in which things become yang or contracted.
|
The claim that if some medical conditions contribute to death, then growth is yin or expansive, while aging is the process in which things become yang or contracted has no merit.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (If [2], then [3].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, Not (If [2], then [3].)..
[SC1-2]
Modus Ponens:
If [6], then (Either [4] or (Not (If [2], then [3].).).).
[6] [SC2-3]
Therefore, Either [4] or (Not (If [2], then [3].).)..
[SC2-3]
Modus Ponens:
If [9], then [6].
[9]
Therefore, [6].
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-3]
If [4], then (Not [5].).
Therefore, Not [4]..
[SC1-3]
Hypothetical Syllogism:
If [4], then (Either [7] or [8].).
If (Either [7] or [8].), then [5].
Therefore, If [4], then [5]..
|
{0: 'Some medical conditions contribute to death.', 1: 'Growth is yin or expansive, while aging is the process in which things become yang or contracted.', 2: 'Population density is closely related to the spread of certain diseases.', 3: 'Lanes are road surfaces.', 4: 'Malignant hyperthermia is a potentially lethal hazard during anesthesia.', 5: 'Flesh Consuming See biophagous, carnivorous, feeding.', 6: 'Estrogens stimulate breast tissue and the lining of the uterus.', 7: 'Smog can be harmful to the health of humans, animals and plant life including essential food crops.', 8: 'Snowstorms have cold temperature.', 9: 'Water is a chemical.'}
| 6 |
5,786 |
['On the condition that some people mistakenly believe that if it is not true that geographies are earth science, then blood circulates throughout the body in sixty seconds, it is definitely the case that we know that the claim that many weeds are also good hosts for reniform nematode is false.', 'Given that tapeworms are parasitic flatworms meaning they spend their adult life inside of a host, it can be inferred that we know that the claim that blood circulates throughout the body in sixty seconds is false.', 'The claim that tapeworms are parasitic flatworms meaning they spend their adult life inside of a host holds true.', 'Should it be the case that some people mistakenly believe that if it is not true that geographies are earth science, then blood circulates throughout the body in sixty seconds, it follows that either neutrinos also play an important role in astrophysics or most biospheres are part of planets.', 'It is a fact that either if some animals eat salt, then some parents arrange to have family members care for younger children or jackal isa mammal.', 'Should it be the case that if some animals eat salt, then some parents arrange to have family members care for younger children, it follows that if either neutrinos also play an important role in astrophysics or most biospheres are part of planets, then many weeds are also good hosts for reniform nematode.', 'Provided that jackal isa mammal, we know that wood is used rather than metal because it is both durable and cheaper to maintain than metal.', 'When wood is used rather than metal because it is both durable and cheaper to maintain than metal is true, it follows that if either neutrinos also play an important role in astrophysics or most biospheres are part of planets, then many weeds are also good hosts for reniform nematode.']
|
On the condition that some people mistakenly believe that if it is not true that geographies are earth science, then blood circulates throughout the body in sixty seconds, it is definitely the case that we know that the claim that many weeds are also good hosts for reniform nematode is false. Given that tapeworms are parasitic flatworms meaning they spend their adult life inside of a host, it can be inferred that we know that the claim that blood circulates throughout the body in sixty seconds is false. The claim that tapeworms are parasitic flatworms meaning they spend their adult life inside of a host holds true. Should it be the case that some people mistakenly believe that if it is not true that geographies are earth science, then blood circulates throughout the body in sixty seconds, it follows that either neutrinos also play an important role in astrophysics or most biospheres are part of planets. It is a fact that either if some animals eat salt, then some parents arrange to have family members care for younger children or jackal isa mammal. Should it be the case that if some animals eat salt, then some parents arrange to have family members care for younger children, it follows that if either neutrinos also play an important role in astrophysics or most biospheres are part of planets, then many weeds are also good hosts for reniform nematode. Provided that jackal isa mammal, we know that wood is used rather than metal because it is both durable and cheaper to maintain than metal. When wood is used rather than metal because it is both durable and cheaper to maintain than metal is true, it follows that if either neutrinos also play an important role in astrophysics or most biospheres are part of planets, then many weeds are also good hosts for reniform nematode.
|
We can assume that geographies are earth science.
|
Geography isa science.
|
Uncertain
|
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 [3]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [3].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then (Either [4] or [5].).
If (Either [4] or [5].), then [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-3]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If (Either [4] or [5].), then [3].).
If [8], then (If (Either [4] or [5].), then [3].). [SC3-4]
Therefore, If (Either [4] or [5].), then [3]..
[SC3-4]
Hypothetical Syllogism:
If [8], then [9].
If [9], then (If (Either [4] or [5].), then [3].).
Therefore, If [8], then (If (Either [4] or [5].), then [3].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Geographies are earth science.', 1: 'Blood circulates throughout the body in sixty seconds.', 2: 'Tapeworms are parasitic flatworms meaning they spend their adult life inside of a host.', 3: 'Many weeds are also good hosts for reniform nematode.', 4: 'Neutrinos also play an important role in astrophysics.', 5: 'Most biospheres are part of planets.', 6: 'Some animals eat salt.', 7: 'Some parents arrange to have family members care for younger children.', 8: 'Jackal isa mammal.', 9: 'Wood is used rather than metal because it is both durable and cheaper to maintain than metal.'}
| 6 |
5,658 |
['Should it be the case that thrips can attack okra in the seedling and early juvenile stages, delaying crop development, it follows that either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals.', 'It is reasonable to believe that cheese is, bread, cheese slice, and bread.', "We know that either either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation or the notion that 'sea levels are water levels' is untrue.", 'It is rational to believe that either if blood pressure is caused by depletion, then a driver is an operator or if carbon absorbs heat from the sun, then chocolate contains the same phenols as red wine.', "Provided that if blood pressure is caused by depletion, then a driver is an operator, we know that if cheese is, bread, cheese slice, and bread, then if the statement, if thrips can attack okra in the seedling and early juvenile stages, delaying crop development, then the statement that 'either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals' is incorrect, does not hold, then sea levels are water levels.", "Whenever it is true that if carbon absorbs heat from the sun, then chocolate contains the same phenols as red wine, 'if cheese is, bread, cheese slice, and bread, then if the statement, if thrips can attack okra in the seedling and early juvenile stages, delaying crop development, then the statement that 'either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals' is incorrect, does not hold, then sea levels are water levels' is true.", 'Assuming either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation, we know that compulsive eating is incurable and serious.', 'When either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation is true, it follows that it is not true that compulsive eating is incurable and serious.']
|
Should it be the case that thrips can attack okra in the seedling and early juvenile stages, delaying crop development, it follows that either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals. It is reasonable to believe that cheese is, bread, cheese slice, and bread. We know that either either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation or the notion that 'sea levels are water levels' is untrue. It is rational to believe that either if blood pressure is caused by depletion, then a driver is an operator or if carbon absorbs heat from the sun, then chocolate contains the same phenols as red wine. Provided that if blood pressure is caused by depletion, then a driver is an operator, we know that if cheese is, bread, cheese slice, and bread, then if the statement, if thrips can attack okra in the seedling and early juvenile stages, delaying crop development, then the statement that 'either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals' is incorrect, does not hold, then sea levels are water levels. Whenever it is true that if carbon absorbs heat from the sun, then chocolate contains the same phenols as red wine, 'if cheese is, bread, cheese slice, and bread, then if the statement, if thrips can attack okra in the seedling and early juvenile stages, delaying crop development, then the statement that 'either cardiovascular syncope is the most common cause of drop attacks in the elderly or foxs are mammals' is incorrect, does not hold, then sea levels are water levels' is true. Assuming either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation, we know that compulsive eating is incurable and serious. When either pandas have large molar teeth or reduced acuity is caused by the inability to maintain steady fixation is true, it follows that it is not true that compulsive eating is incurable and serious.
|
The claim that thrips can attack okra in the seedling and early juvenile stages, delaying crop development does not correspond with reality.
|
The statement 'some thrips are predators, such as the six-spotted thrip, which feeds on other thrips and mites' can be considered false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].).
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [0], then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].). [SC1-3]
[4]
Therefore, If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3]..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or (If [10], then [11].).
If (If [8], then [9].), then (If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].).).
If (If [10], then [11].), then (If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].).).
Therefore, If [4], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [3].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Not [3].).
Not (Either [5] or [6].). [SC2-3]
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Either [5] or [6].), then [7].
If (Either [5] or [6].), then (Not [7].).
Therefore, Not (Either [5] or [6].)..
|
{0: 'Thrips can attack okra in the seedling and early juvenile stages, delaying crop development.', 1: 'Cardiovascular syncope is the most common cause of drop attacks in the elderly.', 2: 'Foxs are mammals.', 3: 'Sea levels are water levels.', 4: 'Cheese is, bread, cheese slice, and bread.', 5: 'Pandas have large molar teeth.', 6: 'Reduced acuity is caused by the inability to maintain steady fixation.', 7: 'Compulsive eating is incurable and serious.', 8: 'Blood pressure is caused by depletion.', 9: 'A driver is an operator.', 10: 'Carbon absorbs heat from the sun.', 11: 'Chocolate contains the same phenols as red wine.'}
| 6 |
5,465 |
['Given that we know that the claim that pacifisms are doctrines is false, it can be inferred that either events are reactions of other systems to events of other systems or elongated snouts account for the name bottlenose.', 'It is a fact that either guns are a product, sold for profit like any other or those that suggest either events are reactions of other systems to events of other systems or elongated snouts account for the name bottlenose are wrong.', 'We know that at least one of two things is true: community colleges are lower division schools, by definition, or white color stands for purity.', 'One may reasonably assume that if community colleges are lower division schools, by definition, then the claim that guns are a product, sold for profit like any other has no merit.', 'It is rational to believe that either if sensors are the fundamental components of a measurement or control system, then basketball is another example of a sport whose play descriptions can be applied to parenting or either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames.', 'Provided that if sensors are the fundamental components of a measurement or control system, then basketball is another example of a sport whose play descriptions can be applied to parenting, we know that if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit.', 'The claim that a library catalog is a catalogue does not correspond with reality.', 'At least one of two things is true: fishing spiders walk on water, and can even dive below the surface to catch food, or litigation is part of the process that preserves peace.', 'Provided that fishing spiders walk on water, and can even dive below the surface to catch food, we know that either a library catalog is a catalogue or if either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames, then if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit.', 'When litigation is part of the process that preserves peace is true, it follows that either a library catalog is a catalogue or if either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames, then if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit.']
|
Given that we know that the claim that pacifisms are doctrines is false, it can be inferred that either events are reactions of other systems to events of other systems or elongated snouts account for the name bottlenose. It is a fact that either guns are a product, sold for profit like any other or those that suggest either events are reactions of other systems to events of other systems or elongated snouts account for the name bottlenose are wrong. We know that at least one of two things is true: community colleges are lower division schools, by definition, or white color stands for purity. One may reasonably assume that if community colleges are lower division schools, by definition, then the claim that guns are a product, sold for profit like any other has no merit. It is rational to believe that either if sensors are the fundamental components of a measurement or control system, then basketball is another example of a sport whose play descriptions can be applied to parenting or either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames. Provided that if sensors are the fundamental components of a measurement or control system, then basketball is another example of a sport whose play descriptions can be applied to parenting, we know that if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit. The claim that a library catalog is a catalogue does not correspond with reality. At least one of two things is true: fishing spiders walk on water, and can even dive below the surface to catch food, or litigation is part of the process that preserves peace. Provided that fishing spiders walk on water, and can even dive below the surface to catch food, we know that either a library catalog is a catalogue or if either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames, then if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit. When litigation is part of the process that preserves peace is true, it follows that either a library catalog is a catalogue or if either pollination is mainly by bees, which are attracted by the fragrance of the flowers or castles have (part) window frames, then if white color stands for purity, then the claim that guns are a product, sold for profit like any other has no merit.
|
We can assume that pacifisms are doctrines.
|
It is a common misconception that pacifisms are doctrines.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not (Either [1] or [2].).).
Not [3]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [3].).
If [5], then (Not [3].). [SC3-3]
Therefore, Not [3]..
[SC3-3]
Disjunction Elimination:
Either (If [6], then [7].) or (Either [8] or [9].).
If (If [6], then [7].), then (If [5], then (Not [3].).).
If (Either [8] or [9].), then (If [5], then (Not [3].).). [SC3-4]
Therefore, If [5], then (Not [3].)..
[SC3-4]
Disjunctive Syllogism:
Either [10] or (If (Either [8] or [9].), then (If [5], then (Not [3].).).). [SC1-5]
Not [10].
Therefore, If (Either [8] or [9].), then (If [5], then (Not [3].).)..
[SC1-5]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Either [10] or (If (Either [8] or [9].), then (If [5], then (Not [3].).).).).
If [12], then (Either [10] or (If (Either [8] or [9].), then (If [5], then (Not [3].).).).).
Therefore, Either [10] or (If (Either [8] or [9].), then (If [5], then (Not [3].).).)..
|
{0: 'Pacifisms are doctrines.', 1: 'Events are reactions of other systems to events of other systems.', 2: 'Elongated snouts account for the name bottlenose.', 3: 'Guns are a product, sold for profit like any other.', 4: 'Community colleges are lower division schools, by definition.', 5: 'White color stands for purity.', 6: 'Sensors are the fundamental components of a measurement or control system.', 7: 'Basketball is another example of a sport whose play descriptions can be applied to parenting.', 8: 'Pollination is mainly by bees, which are attracted by the fragrance of the flowers.', 9: 'Castles have (part) window frames.', 10: 'A library catalog is a catalogue.', 11: 'Fishing spiders walk on water, and can even dive below the surface to catch food.', 12: 'Litigation is part of the process that preserves peace.'}
| 6 |
5,920 |
["So long as soluble fibers can help reduce cholesterol, 'transcendence is an anthology of minority experience' is true.", 'If the statement, if ferrets sleep much of the time, but when awake are both curious and highly active, then it is not the case that transcendence is an anthology of minority experience, does not hold, then christians understand the importance of freedom.', 'On the condition that the statement, if ferrets sleep much of the time, but when awake are both curious and highly active, then it is not the case that transcendence is an anthology of minority experience, does not hold, it is definitely the case that some people mistakenly believe that christians understand the importance of freedom.', "So long as the statement 'if some people mistakenly believe that if ferrets sleep much of the time, but when awake are both curious and highly active, then soluble fibers can help reduce cholesterol, then fireflies are actually members of the beetle family' can be considered false, 'irregulars are slow changing with irregular changes in brightness' is true.", 'The claim that irregulars are slow changing with irregular changes in brightness does not correspond with reality.', "So long as it is a common misconception that if some people mistakenly believe that if ferrets sleep much of the time, but when awake are both curious and highly active, then soluble fibers can help reduce cholesterol, then those that suggest fireflies are actually members of the beetle family are wrong, 'solvent is a dissolving agent used in antiquing and to clean brushes used with oil-based colors' is true.", "The notion that 'solvent is a dissolving agent used in antiquing and to clean brushes used with oil-based colors' is untrue."]
|
So long as soluble fibers can help reduce cholesterol, 'transcendence is an anthology of minority experience' is true. If the statement, if ferrets sleep much of the time, but when awake are both curious and highly active, then it is not the case that transcendence is an anthology of minority experience, does not hold, then christians understand the importance of freedom. On the condition that the statement, if ferrets sleep much of the time, but when awake are both curious and highly active, then it is not the case that transcendence is an anthology of minority experience, does not hold, it is definitely the case that some people mistakenly believe that christians understand the importance of freedom. So long as the statement 'if some people mistakenly believe that if ferrets sleep much of the time, but when awake are both curious and highly active, then soluble fibers can help reduce cholesterol, then fireflies are actually members of the beetle family' can be considered false, 'irregulars are slow changing with irregular changes in brightness' is true. The claim that irregulars are slow changing with irregular changes in brightness does not correspond with reality. So long as it is a common misconception that if some people mistakenly believe that if ferrets sleep much of the time, but when awake are both curious and highly active, then soluble fibers can help reduce cholesterol, then those that suggest fireflies are actually members of the beetle family are wrong, 'solvent is a dissolving agent used in antiquing and to clean brushes used with oil-based colors' is true. The notion that 'solvent is a dissolving agent used in antiquing and to clean brushes used with oil-based colors' is untrue.
|
It is not true that ferrets sleep much of the time, but when awake are both curious and highly active.
|
It is fair to say that ferrets sleep much of the time, but when awake are both curious and highly active.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then [1].
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [0], then [2].).), then [4]. [SC1-3]
If (Not (If [0], then [2].).), then (Not [4].). [SC2-3]
Therefore, If [0], then [2]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [0], then [2].).), then [4].).), then [5].
Not [5].
Therefore, If (Not (If [0], then [2].).), then [4]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [0], then [2].).), then (Not [4].).).), then [6].
Not [6].
Therefore, If (Not (If [0], then [2].).), then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [3].
If (Not (If [0], then (Not [1].).).), then (Not [3].).
Therefore, If [0], then (Not [1].)..
|
{0: 'Ferrets sleep much of the time, but when awake are both curious and highly active.', 1: 'Transcendence is an anthology of minority experience.', 2: 'Soluble fibers can help reduce cholesterol.', 3: 'Christians understand the importance of freedom.', 4: 'Fireflies are actually members of the beetle family.', 5: 'Irregulars are slow changing with irregular changes in brightness.', 6: 'Solvent is a dissolving agent used in antiquing and to clean brushes used with oil-based colors.'}
| 6 |
5,038 |
['We know that the claim that either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty is false.', 'Either if neighbors have (part) cell membranes, then dopamine plays a major role in the regulation of appetite and growth hormone or the claim that powdery mildew can overwinter on infected foliage and spread to new foliage the following year does not reflect reality.', 'The claim that if neighbors have (part) cell membranes, then dopamine plays a major role in the regulation of appetite and growth hormone does not correspond with reality.', 'We know that at least one of two things is true: bacteria are everywhere in our environment and life, or meat provides a concentrated source of complete, high quality protein.', 'Assuming meat provides a concentrated source of complete, high quality protein, we know that either either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty or either powdery mildew can overwinter on infected foliage and spread to new foliage the following year or firstborn children tend to have distinct personality traits.', "Assuming chestnuts are one of the world's most traded horticultural crops, we know that either either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty or either powdery mildew can overwinter on infected foliage and spread to new foliage the following year or firstborn children tend to have distinct personality traits.", 'Either one or both of these statements are true: ammonia imitates the smell of dog urine, or static electricity is the mortal enemy of microchips.', "Given that ammonia imitates the smell of dog urine, it can be inferred that if bacteria are everywhere in our environment and life, then chestnuts are one of the world's most traded horticultural crops.", "If static electricity is the mortal enemy of microchips, then if bacteria are everywhere in our environment and life, then chestnuts are one of the world's most traded horticultural crops."]
|
We know that the claim that either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty is false. Either if neighbors have (part) cell membranes, then dopamine plays a major role in the regulation of appetite and growth hormone or the claim that powdery mildew can overwinter on infected foliage and spread to new foliage the following year does not reflect reality. The claim that if neighbors have (part) cell membranes, then dopamine plays a major role in the regulation of appetite and growth hormone does not correspond with reality. We know that at least one of two things is true: bacteria are everywhere in our environment and life, or meat provides a concentrated source of complete, high quality protein. Assuming meat provides a concentrated source of complete, high quality protein, we know that either either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty or either powdery mildew can overwinter on infected foliage and spread to new foliage the following year or firstborn children tend to have distinct personality traits. Assuming chestnuts are one of the world's most traded horticultural crops, we know that either either deficiencies impair functions or friendship is based on trust, honor, respect, and loyalty or either powdery mildew can overwinter on infected foliage and spread to new foliage the following year or firstborn children tend to have distinct personality traits. Either one or both of these statements are true: ammonia imitates the smell of dog urine, or static electricity is the mortal enemy of microchips. Given that ammonia imitates the smell of dog urine, it can be inferred that if bacteria are everywhere in our environment and life, then chestnuts are one of the world's most traded horticultural crops. If static electricity is the mortal enemy of microchips, then if bacteria are everywhere in our environment and life, then chestnuts are one of the world's most traded horticultural crops.
|
It is fair to say that firstborn children tend to have distinct personality traits.
|
Firstborn children are at greater risk than subsequent ones.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Either [1] or [0].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either (Either [2] or [3].) or (Either [1] or [0].).). [SC2-3]
If [7], then (Either (Either [2] or [3].) or (Either [1] or [0].).).
Therefore, Either (Either [2] or [3].) or (Either [1] or [0].)..
[SC2-3]
Hypothetical Syllogism:
If [6], then [8]. [SC1-4]
If [8], then (Either (Either [2] or [3].) or (Either [1] or [0].).).
Therefore, If [6], then (Either (Either [2] or [3].) or (Either [1] or [0].).)..
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [6], then [8].).
If [10], then (If [6], then [8].).
Therefore, If [6], then [8]..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Not [1].).
Not (If [4], then [5].).
Therefore, Not [1]..
|
{0: 'Firstborn children tend to have distinct personality traits.', 1: 'Powdery mildew can overwinter on infected foliage and spread to new foliage the following year.', 2: 'Deficiencies impair functions.', 3: 'Friendship is based on trust, honor, respect, and loyalty.', 4: 'Neighbors have (part) cell membranes.', 5: 'Dopamine plays a major role in the regulation of appetite and growth hormone.', 6: 'Bacteria are everywhere in our environment and life.', 7: 'Meat provides a concentrated source of complete, high quality protein.', 8: "Chestnuts are one of the world's most traded horticultural crops.", 9: 'Ammonia imitates the smell of dog urine.', 10: 'Static electricity is the mortal enemy of microchips.'}
| 6 |
5,944 |
["The notion that 'genets have (part) faces' is untrue.", "Once we know the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, we also know that the notion that 'snow skiing is just a short trip up to the mountains' is untrue.", 'Provided that seals remain on shore during most of the molting period, we know that snow skiing is just a short trip up to the mountains.', 'One may reasonably assume that if iron meteorites are much more frequently found than stony ones , then seals remain on shore during most of the molting period.', "Should it be the case that it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , it follows that cemeteries now offer ceremonies and services customarily provided by funeral homes.", 'It is rational to believe that either demographics is one of the more accurate sciences in predicting the future or olfaction is a very important sense that it has similarities in terrestrial and aquatic vertebrates.', "When demographics is one of the more accurate sciences in predicting the future is true, it follows that if it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , then the claim that cemeteries now offer ceremonies and services customarily provided by funeral homes is false.", "Once we know olfaction is a very important sense that it has similarities in terrestrial and aquatic vertebrates, we also know that if it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , then the claim that cemeteries now offer ceremonies and services customarily provided by funeral homes is false."]
|
The notion that 'genets have (part) faces' is untrue. Once we know the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, we also know that the notion that 'snow skiing is just a short trip up to the mountains' is untrue. Provided that seals remain on shore during most of the molting period, we know that snow skiing is just a short trip up to the mountains. One may reasonably assume that if iron meteorites are much more frequently found than stony ones , then seals remain on shore during most of the molting period. Should it be the case that it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , it follows that cemeteries now offer ceremonies and services customarily provided by funeral homes. It is rational to believe that either demographics is one of the more accurate sciences in predicting the future or olfaction is a very important sense that it has similarities in terrestrial and aquatic vertebrates. When demographics is one of the more accurate sciences in predicting the future is true, it follows that if it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , then the claim that cemeteries now offer ceremonies and services customarily provided by funeral homes is false. Once we know olfaction is a very important sense that it has similarities in terrestrial and aquatic vertebrates, we also know that if it is a common misconception that if the notion that 'if wild turkeys are now in every county in the state and spreading rapidly, then genets have (part) faces' is untrue, then iron meteorites are much more frequently found than stony ones , then the claim that cemeteries now offer ceremonies and services customarily provided by funeral homes is false.
|
The statement, wild turkeys are now in every county in the state and spreading rapidly, does not hold.
|
The idea that wild turkeys are now in every county in the state and spreading rapidly is true.
|
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].).
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [3]. [SC1-3]
If [3], then [2].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [4]. [SC1-4]
If [4], then [3].
Therefore, If (Not (If [0], then [1].).), then [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [4].).), then [5].
If (Not (If (Not (If [0], then [1].).), then [4].).), then (Not [5].). [SC2-5]
Therefore, If (Not (If [0], then [1].).), then [4]..
[SC2-5]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not (If [0], then [1].).), then [4].).), then (Not [5].).).
If [7], then (If (Not (If (Not (If [0], then [1].).), then [4].).), then (Not [5].).).
Therefore, If (Not (If (Not (If [0], then [1].).), then [4].).), then (Not [5].)..
|
{0: 'Wild turkeys are now in every county in the state and spreading rapidly.', 1: 'Genets have (part) faces.', 2: 'Snow skiing is just a short trip up to the mountains.', 3: 'Seals remain on shore during most of the molting period.', 4: 'Iron meteorites are much more frequently found than stony ones .', 5: 'Cemeteries now offer ceremonies and services customarily provided by funeral homes.', 6: 'Demographics is one of the more accurate sciences in predicting the future.', 7: 'Olfaction is a very important sense that it has similarities in terrestrial and aquatic vertebrates.'}
| 6 |
5,725 |
['Provided that the claim that daisies have (part) sections does not reflect reality, we know that calcium carbonate contains the highest amount of elemental calcium.', "So long as recurrences are common after patients discontinue drug treatment, 'the claim that calcium carbonate contains the highest amount of elemental calcium is false' is true.", 'When amethyst is a variety of quartz which occurs in a transparent light to dark purple is true, it follows that the claim that calcium carbonate contains the highest amount of elemental calcium is false.', 'Should it be the case that either women have life or most carbon dioxide has growth, it follows that either some people say that pornography is only fantasy or brown coloration comes from pigment.', 'It is a fact that either women have life or most carbon dioxide has growth.', 'We know that either some saliva causes tooth decay or if some people say that pornography is only fantasy, then recurrences are common after patients discontinue drug treatment.', "The statement 'some saliva causes tooth decay' can be considered false.", 'Provided that the claim that if brown coloration comes from pigment, then amethyst is a variety of quartz which occurs in a transparent light to dark purple is false, we know that if a virgin is a person, then love is the music that authenticates the lyrics of salvation.', 'One may reasonably assume that if the claim that if brown coloration comes from pigment, then amethyst is a variety of quartz which occurs in a transparent light to dark purple is false, then the claim that if a virgin is a person, then love is the music that authenticates the lyrics of salvation is false.']
|
Provided that the claim that daisies have (part) sections does not reflect reality, we know that calcium carbonate contains the highest amount of elemental calcium. So long as recurrences are common after patients discontinue drug treatment, 'the claim that calcium carbonate contains the highest amount of elemental calcium is false' is true. When amethyst is a variety of quartz which occurs in a transparent light to dark purple is true, it follows that the claim that calcium carbonate contains the highest amount of elemental calcium is false. Should it be the case that either women have life or most carbon dioxide has growth, it follows that either some people say that pornography is only fantasy or brown coloration comes from pigment. It is a fact that either women have life or most carbon dioxide has growth. We know that either some saliva causes tooth decay or if some people say that pornography is only fantasy, then recurrences are common after patients discontinue drug treatment. The statement 'some saliva causes tooth decay' can be considered false. Provided that the claim that if brown coloration comes from pigment, then amethyst is a variety of quartz which occurs in a transparent light to dark purple is false, we know that if a virgin is a person, then love is the music that authenticates the lyrics of salvation. One may reasonably assume that if the claim that if brown coloration comes from pigment, then amethyst is a variety of quartz which occurs in a transparent light to dark purple is false, then the claim that if a virgin is a person, then love is the music that authenticates the lyrics of salvation is false.
|
Those that suggest daisies have (part) sections are right.
|
Daisies have flowers.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [4] or [5]. [SC1-3]
If [4], then [2]. [SC2-3]
If [5], then [3]. [SC3-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If (Either [9] or [10].), then (Either [4] or [5].).
Either [9] or [10].
Therefore, Either [4] or [5]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [4], then [2].).
Not [6].
Therefore, If [4], then [2]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then [3].).), then (If [7], then [8].).
If (Not (If [5], then [3].).), then (Not (If [7], then [8].).).
Therefore, If [5], then [3]..
|
{0: 'Daisies have (part) sections.', 1: 'Calcium carbonate contains the highest amount of elemental calcium.', 2: 'Recurrences are common after patients discontinue drug treatment.', 3: 'Amethyst is a variety of quartz which occurs in a transparent light to dark purple.', 4: 'Some people say that pornography is only fantasy.', 5: 'Brown coloration comes from pigment.', 6: 'Some saliva causes tooth decay.', 7: 'A virgin is a person.', 8: 'Love is the music that authenticates the lyrics of salvation.', 9: 'Women have life.', 10: 'Most carbon dioxide has growth.'}
| 6 |
5,436 |
["Given that either redundancy Describes a system where more than one device is used to ensure reliability or gemstones are valued for their beautiful colors and crystal forms, it can be inferred that if the statement 'most copper has low specific capacity' can be considered false, then green foxtail does well when fertilizer is broadcast across the soil surface.", 'Given that green foxtail does well when fertilizer is broadcast across the soil surface, it can be inferred that some people mistakenly believe that ore is minerals.', 'We know that the claim that many birds relish the larger, harder seeds such as oil and striped sunflower seeds is false.', 'When the claim that if green foxtail does well when fertilizer is broadcast across the soil surface, then ore is minerals does not correspond with reality is true, it follows that colloidal silver is considered the greatest all natural antibiotic .', "The statement that 'colloidal silver is considered the greatest all natural antibiotic ' is incorrect.", "Whenever it is true that dale specializes in hybridizing late blooming daylilies, 'either many birds relish the larger, harder seeds such as oil and striped sunflower seeds or either redundancy Describes a system where more than one device is used to ensure reliability or gemstones are valued for their beautiful colors and crystal forms' is true.", 'The idea that dale specializes in hybridizing late blooming daylilies is true.']
|
Given that either redundancy Describes a system where more than one device is used to ensure reliability or gemstones are valued for their beautiful colors and crystal forms, it can be inferred that if the statement 'most copper has low specific capacity' can be considered false, then green foxtail does well when fertilizer is broadcast across the soil surface. Given that green foxtail does well when fertilizer is broadcast across the soil surface, it can be inferred that some people mistakenly believe that ore is minerals. We know that the claim that many birds relish the larger, harder seeds such as oil and striped sunflower seeds is false. When the claim that if green foxtail does well when fertilizer is broadcast across the soil surface, then ore is minerals does not correspond with reality is true, it follows that colloidal silver is considered the greatest all natural antibiotic . The statement that 'colloidal silver is considered the greatest all natural antibiotic ' is incorrect. Whenever it is true that dale specializes in hybridizing late blooming daylilies, 'either many birds relish the larger, harder seeds such as oil and striped sunflower seeds or either redundancy Describes a system where more than one device is used to ensure reliability or gemstones are valued for their beautiful colors and crystal forms' is true. The idea that dale specializes in hybridizing late blooming daylilies is true.
|
The claim that most copper has low specific capacity holds true.
|
The statement that 'most copper has low specific capacity' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (If (Not [0].), then [1].).
Either [2] or [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or [3].). [SC1-3]
Not [5].
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If [7], then (Either [5] or (Either [2] or [3].).).
[7]
Therefore, Either [5] or (Either [2] or [3].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4]. [SC1-2]
If [1], then (Not [4].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [4].).), then [6].
Not [6].
Therefore, If [1], then [4]..
|
{0: 'Most copper has low specific capacity.', 1: 'Green foxtail does well when fertilizer is broadcast across the soil surface.', 2: 'Redundancy Describes a system where more than one device is used to ensure reliability.', 3: 'Gemstones are valued for their beautiful colors and crystal forms.', 4: 'Ore is minerals.', 5: 'Many birds relish the larger, harder seeds such as oil and striped sunflower seeds .', 6: 'Colloidal silver is considered the greatest all natural antibiotic .', 7: 'Dale specializes in hybridizing late blooming daylilies.'}
| 6 |
5,140 |
['On the condition that students have information, it is definitely the case that some cymbidiums are fragrant.', "Whenever it is true that motor neurons are nerve cells that control muscles, 'mediation is an informal but structured process intended to resolve disputes quickly' is true.", 'It is true that motor neurons are nerve cells that control muscles.', 'One may reasonably assume that if the claim that if blacks experience the highest rates of serious violent crime, then if if students have information, then some cymbidiums are fragrant, then if mediation is an informal but structured process intended to resolve disputes quickly, then if twins have (part) cell membranes, then whale sharks are exhibited in several aquariums worldwide has no merit, then if monocular mechanisms determine plaid motion coherence, then commuting are round trips.', 'The claim that if monocular mechanisms determine plaid motion coherence, then commuting are round trips does not correspond with reality.', 'Either breasts grow during first weeks or blacks experience the highest rates of serious violent crime.', 'It is not the case that breasts grow during first weeks.']
|
On the condition that students have information, it is definitely the case that some cymbidiums are fragrant. Whenever it is true that motor neurons are nerve cells that control muscles, 'mediation is an informal but structured process intended to resolve disputes quickly' is true. It is true that motor neurons are nerve cells that control muscles. One may reasonably assume that if the claim that if blacks experience the highest rates of serious violent crime, then if if students have information, then some cymbidiums are fragrant, then if mediation is an informal but structured process intended to resolve disputes quickly, then if twins have (part) cell membranes, then whale sharks are exhibited in several aquariums worldwide has no merit, then if monocular mechanisms determine plaid motion coherence, then commuting are round trips. The claim that if monocular mechanisms determine plaid motion coherence, then commuting are round trips does not correspond with reality. Either breasts grow during first weeks or blacks experience the highest rates of serious violent crime. It is not the case that breasts grow during first weeks.
|
Given that twins have (part) cell membranes, it can be inferred that whale sharks are exhibited in several aquariums worldwide.
|
The statement, if twins have (part) cell membranes, then whale sharks are exhibited in several aquariums worldwide, does not hold.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If [2], then (If [0], then [1].).). [SC1-2]
If [4], then [5].
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [6], then (If (If [4], then [5].), then (If [2], then (If [0], then [1].).).). [SC1-3]
[6] [SC2-3]
Therefore, If (If [4], then [5].), then (If [2], then (If [0], then [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If [6], then (If (If [4], then [5].), then (If [2], then (If [0], then [1].).).).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [6], then (If (If [4], then [5].), then (If [2], then (If [0], then [1].).).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [6].
Not [9].
Therefore, [6].
[SC2-1]
Modus Ponens:
If [3], then [2].
[3]
Therefore, [2].
|
{0: 'Twins have (part) cell membranes.', 1: 'Whale sharks are exhibited in several aquariums worldwide.', 2: 'Mediation is an informal but structured process intended to resolve disputes quickly.', 3: 'Motor neurons are nerve cells that control muscles.', 4: 'Students have information.', 5: 'Some cymbidiums are fragrant.', 6: 'Blacks experience the highest rates of serious violent crime.', 7: 'Monocular mechanisms determine plaid motion coherence.', 8: 'Commuting are round trips.', 9: 'Breasts grow during first weeks.'}
| 6 |
5,818 |
["Whenever it is true that faeries mostly sleep during the day and dance through the night, 'nitrogen oxides are a by-product of combustion processes, eg aircraft emissions' is true.", 'Either humanity is filled with the potential for goodness, love, sharing and fairness or scorch marks show the scars of battle.', "At least one of two things is true: winter is normally Georgia's rainy season, or myocardial infarction occurs when one or more coronary arteries are completely occluded.", "So long as winter is normally Georgia's rainy season, 'if if faeries mostly sleep during the day and dance through the night, then nitrogen oxides are a by-product of combustion processes, eg aircraft emissions, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then either bots are larvas or chloroform is unacceptable for euthanasia' is true.", 'When myocardial infarction occurs when one or more coronary arteries are completely occluded is true, it follows that if if faeries mostly sleep during the day and dance through the night, then nitrogen oxides are a by-product of combustion processes, eg aircraft emissions, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then either bots are larvas or chloroform is unacceptable for euthanasia.', "If the statement that 'if humanity is filled with the potential for goodness, love, sharing and fairness, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is incorrect, then balls are capable of bounce.", 'It is a common misconception that balls are capable of bounce.', "So long as the notion that 'if scorch marks show the scars of battle, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is untrue, 'if assemblies are machines, then all waves have a wavelength, an amplitude and a frequency as shown in the figure' is true.", "When the notion that 'if scorch marks show the scars of battle, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is untrue is true, it follows that the notion that 'if assemblies are machines, then all waves have a wavelength, an amplitude and a frequency as shown in the figure' is untrue."]
|
Whenever it is true that faeries mostly sleep during the day and dance through the night, 'nitrogen oxides are a by-product of combustion processes, eg aircraft emissions' is true. Either humanity is filled with the potential for goodness, love, sharing and fairness or scorch marks show the scars of battle. At least one of two things is true: winter is normally Georgia's rainy season, or myocardial infarction occurs when one or more coronary arteries are completely occluded. So long as winter is normally Georgia's rainy season, 'if if faeries mostly sleep during the day and dance through the night, then nitrogen oxides are a by-product of combustion processes, eg aircraft emissions, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then either bots are larvas or chloroform is unacceptable for euthanasia' is true. When myocardial infarction occurs when one or more coronary arteries are completely occluded is true, it follows that if if faeries mostly sleep during the day and dance through the night, then nitrogen oxides are a by-product of combustion processes, eg aircraft emissions, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then either bots are larvas or chloroform is unacceptable for euthanasia. If the statement that 'if humanity is filled with the potential for goodness, love, sharing and fairness, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is incorrect, then balls are capable of bounce. It is a common misconception that balls are capable of bounce. So long as the notion that 'if scorch marks show the scars of battle, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is untrue, 'if assemblies are machines, then all waves have a wavelength, an amplitude and a frequency as shown in the figure' is true. When the notion that 'if scorch marks show the scars of battle, then if we know that the claim that macrocyclic ligands are well known for their ability to bind metal cations is false, then the claim that either bots are larvas or chloroform is unacceptable for euthanasia has no merit' is untrue is true, it follows that the notion that 'if assemblies are machines, then all waves have a wavelength, an amplitude and a frequency as shown in the figure' is untrue.
|
It is the case that macrocyclic ligands are well known for their ability to bind metal cations.
|
It is not true that macrocyclic ligands are well known for their ability to bind metal cations.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If (Not [0].), then (Either [1] or [2].).). [SC1-2]
If [3], then [4].
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (If [3], then [4].), then (If (Not [0].), then (Either [1] or [2].).).).
If [11], then (If (If [3], then [4].), then (If (Not [0].), then (Either [1] or [2].).).).
Therefore, If (If [3], then [4].), then (If (Not [0].), then (Either [1] or [2].).)..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC2-2]
If [6], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC3-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC2-2]
Modus Tonens:
If (Not (If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [9].
Not [9].
Therefore, If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then (If [7], then [8].).
If (Not (If [6], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then (Not (If [7], then [8].).).
Therefore, If [6], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
|
{0: 'Macrocyclic ligands are well known for their ability to bind metal cations.', 1: 'Bots are larvas.', 2: 'Chloroform is unacceptable for euthanasia.', 3: 'Faeries mostly sleep during the day and dance through the night.', 4: 'Nitrogen oxides are a by-product of combustion processes, eg aircraft emissions.', 5: 'Humanity is filled with the potential for goodness, love, sharing and fairness.', 6: 'Scorch marks show the scars of battle.', 7: 'Assemblies are machines.', 8: 'All waves have a wavelength, an amplitude and a frequency as shown in the figure.', 9: 'Balls are capable of bounce.', 10: "Winter is normally Georgia's rainy season.", 11: 'Myocardial infarction occurs when one or more coronary arteries are completely occluded.'}
| 6 |
5,602 |
["We know that either if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients or young plants have few leaves, while very old plants have many.", 'Once we know it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, we also know that rivers can begin in lakes or as springs that bubble up from underground.', "When the claim that if either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children, then if if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients, then genealogy Describes the naturalization process has no merit is true, it follows that hydrocarbons are chemical compounds made mainly of carbon and hydrogen .", "Given that the claim that if either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children, then if if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients, then genealogy Describes the naturalization process has no merit, it can be inferred that those that suggest hydrocarbons are chemical compounds made mainly of carbon and hydrogen are wrong.", 'It is a fact that either if lambs are born without human assistance, a credit to their wild ancestry, then skating are used for entertainment or bats help control the insect population.', "Whenever it is true that if lambs are born without human assistance, a credit to their wild ancestry, then skating are used for entertainment, 'either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children' is true.", 'Assuming bats help control the insect population, we know that either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children.', 'One may reasonably assume that if some people mistakenly believe that if it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, then the claim that rivers can begin in lakes or as springs that bubble up from underground has no merit, then penguins live in large communities so that they can stay close and help one another stay warm.', 'Provided that some people mistakenly believe that if it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, then the claim that rivers can begin in lakes or as springs that bubble up from underground has no merit, we know that we know that the claim that penguins live in large communities so that they can stay close and help one another stay warm is false.']
|
We know that either if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients or young plants have few leaves, while very old plants have many. Once we know it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, we also know that rivers can begin in lakes or as springs that bubble up from underground. When the claim that if either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children, then if if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients, then genealogy Describes the naturalization process has no merit is true, it follows that hydrocarbons are chemical compounds made mainly of carbon and hydrogen . Given that the claim that if either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children, then if if spider mites thrive when it's hot and dusty, then most earthworms consume nutrients, then genealogy Describes the naturalization process has no merit, it can be inferred that those that suggest hydrocarbons are chemical compounds made mainly of carbon and hydrogen are wrong. It is a fact that either if lambs are born without human assistance, a credit to their wild ancestry, then skating are used for entertainment or bats help control the insect population. Whenever it is true that if lambs are born without human assistance, a credit to their wild ancestry, then skating are used for entertainment, 'either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children' is true. Assuming bats help control the insect population, we know that either trapping plays an important role as a tool to control nuisance and predatory wildlife or parents have the most influence on the language development of their children. One may reasonably assume that if some people mistakenly believe that if it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, then the claim that rivers can begin in lakes or as springs that bubble up from underground has no merit, then penguins live in large communities so that they can stay close and help one another stay warm. Provided that some people mistakenly believe that if it is not true that if young plants have few leaves, while very old plants have many, then genealogy Describes the naturalization process, then the claim that rivers can begin in lakes or as springs that bubble up from underground has no merit, we know that we know that the claim that penguins live in large communities so that they can stay close and help one another stay warm is false.
|
It is fair to say that genealogy Describes the naturalization process.
|
It is fair to say that genealogy Describes the naturalization process.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (Either [5] or [6].), then (If (If [1], then [2].), then [0].). [SC1-2]
Either [5] or [6]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Either [5] or [6].), then (If (If [1], then [2].), then [0].).).), then [11].
If (Not (If (Either [5] or [6].), then (If (If [1], then [2].), then [0].).).), then (Not [11].).
Therefore, If (Either [5] or [6].), then (If (If [1], then [2].), then [0].)..
[SC2-2]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (Either [5] or [6].).
If [10], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then [0].).), then [4].
If (Not (If [3], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then [7].
If (Not (If (Not (If [3], then [0].).), then (Not [4].).).), then (Not [7].).
Therefore, If (Not (If [3], then [0].).), then (Not [4].)..
|
{0: 'Genealogy Describes the naturalization process.', 1: "Spider mites thrive when it's hot and dusty.", 2: 'Most earthworms consume nutrients.', 3: 'Young plants have few leaves, while very old plants have many.', 4: 'Rivers can begin in lakes or as springs that bubble up from underground.', 5: 'Trapping plays an important role as a tool to control nuisance and predatory wildlife.', 6: 'Parents have the most influence on the language development of their children.', 7: 'Penguins live in large communities so that they can stay close and help one another stay warm.', 8: 'Lambs are born without human assistance, a credit to their wild ancestry.', 9: 'Skating are used for entertainment.', 10: 'Bats help control the insect population.', 11: 'Hydrocarbons are chemical compounds made mainly of carbon and hydrogen .'}
| 6 |
5,745 |
['One may reasonably assume that if we know that the claim that if prayer reflects appreciation, then beetroots are the fruit as well as veggie with immense health benefits in it is false, then we know that the claim that pillars have (part) bases is false.', 'When some murderers shoot birds is true, it follows that the claim that beetroots are the fruit as well as veggie with immense health benefits in it is false.', 'The idea that fiber has structures is true.', "Whenever it is true that the statement that states some murderers shoot birds is false, 'some cheetahs have stripes' is true.", 'When the statement that states some murderers shoot birds is false is true, it follows that the claim that some cheetahs have stripes is false.', 'If fiber has structures, then if skeletons have functions, then beneficial bacteria are integral in balancing and counteracting unfriendly bacteria.', 'If if skeletons have functions, then beneficial bacteria are integral in balancing and counteracting unfriendly bacteria, then if we know that the claim that if prayer reflects appreciation, then beetroots are the fruit as well as veggie with immense health benefits in it is false, then pillars have (part) bases.']
|
One may reasonably assume that if we know that the claim that if prayer reflects appreciation, then beetroots are the fruit as well as veggie with immense health benefits in it is false, then we know that the claim that pillars have (part) bases is false. When some murderers shoot birds is true, it follows that the claim that beetroots are the fruit as well as veggie with immense health benefits in it is false. The idea that fiber has structures is true. Whenever it is true that the statement that states some murderers shoot birds is false, 'some cheetahs have stripes' is true. When the statement that states some murderers shoot birds is false is true, it follows that the claim that some cheetahs have stripes is false. If fiber has structures, then if skeletons have functions, then beneficial bacteria are integral in balancing and counteracting unfriendly bacteria. If if skeletons have functions, then beneficial bacteria are integral in balancing and counteracting unfriendly bacteria, then if we know that the claim that if prayer reflects appreciation, then beetroots are the fruit as well as veggie with immense health benefits in it is false, then pillars have (part) bases.
|
It is not the case that prayer reflects appreciation.
|
It is true that prayer reflects appreciation.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [0], then [1].).), then [2].). [SC1-3]
[4]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If [4], then (If [6], then [7].).
If (If [6], then [7].), then (If (Not (If [0], then [1].).), then [2].).
Therefore, If [4], then (If (Not (If [0], then [1].).), then [2].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [5].
If (Not [3].), then (Not [5].).
Therefore, [3].
|
{0: 'Prayer reflects appreciation.', 1: 'Beetroots are the fruit as well as veggie with immense health benefits in it.', 2: 'Pillars have (part) bases.', 3: 'Some murderers shoot birds.', 4: 'Fiber has structures.', 5: 'Some cheetahs have stripes.', 6: 'Skeletons have functions.', 7: 'Beneficial bacteria are integral in balancing and counteracting unfriendly bacteria.'}
| 6 |
5,471 |
['Should it be the case that a masse is shot, it follows that if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin.', "The statement 'a masse is shot' can be considered true.", 'It is rational to believe that either science is seen as the way to make our way to the best of all possible worlds or uniforms are outfits.', "Whenever it is true that science is seen as the way to make our way to the best of all possible worlds, 'if sulfur occurs in nature as pale yellow crystals, then if if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin, then the claim that pleural cultures are positive in approximately one half of pediatric patients with empyema is false' is true.", 'On the condition that uniforms are outfits, it is definitely the case that if sulfur occurs in nature as pale yellow crystals, then if if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin, then the claim that pleural cultures are positive in approximately one half of pediatric patients with empyema is false.', "The statement 'mausoleums vary greatly in size and design and are often found on cemetery grounds' is true.", 'Once we know most landfills have areas where citizens can get rid of hazardous waste also, we also know that if mausoleums vary greatly in size and design and are often found on cemetery grounds, then sulfur occurs in nature as pale yellow crystals.', 'The claim that most landfills have areas where citizens can get rid of hazardous waste also holds true.']
|
Should it be the case that a masse is shot, it follows that if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin. The statement 'a masse is shot' can be considered true. It is rational to believe that either science is seen as the way to make our way to the best of all possible worlds or uniforms are outfits. Whenever it is true that science is seen as the way to make our way to the best of all possible worlds, 'if sulfur occurs in nature as pale yellow crystals, then if if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin, then the claim that pleural cultures are positive in approximately one half of pediatric patients with empyema is false' is true. On the condition that uniforms are outfits, it is definitely the case that if sulfur occurs in nature as pale yellow crystals, then if if sensitivity is the ability of a test to identify true positives, then yarrow tea made with flowering stems is said to be beneficial to oily skin, then the claim that pleural cultures are positive in approximately one half of pediatric patients with empyema is false. The statement 'mausoleums vary greatly in size and design and are often found on cemetery grounds' is true. Once we know most landfills have areas where citizens can get rid of hazardous waste also, we also know that if mausoleums vary greatly in size and design and are often found on cemetery grounds, then sulfur occurs in nature as pale yellow crystals. The claim that most landfills have areas where citizens can get rid of hazardous waste also holds true.
|
The claim that pleural cultures are positive in approximately one half of pediatric patients with empyema is false.
|
It is rational to agree that pleural cultures are positive in approximately one half of pediatric patients with empyema.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [4], then (If (If [1], then [2].), then (Not [0].).). [SC1-2]
[4] [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If (If [1], then [2].), then (Not [0].).).).
If [6], then (If [4], then (If (If [1], then [2].), then (Not [0].).).).
Therefore, If [4], then (If (If [1], then [2].), then (Not [0].).)..
[SC2-2]
Modus Ponens:
If [7], then [4]. [SC1-3]
[7]
Therefore, [4].
[SC1-3]
Modus Ponens:
If [8], then (If [7], then [4].).
[8]
Therefore, If [7], then [4]..
[SC2-1]
Modus Ponens:
If [3], then (If [1], then [2].).
[3]
Therefore, If [1], then [2]..
|
{0: 'Pleural cultures are positive in approximately one half of pediatric patients with empyema.', 1: 'Sensitivity is the ability of a test to identify true positives.', 2: 'Yarrow tea made with flowering stems is said to be beneficial to oily skin.', 3: 'A masse is shot.', 4: 'Sulfur occurs in nature as pale yellow crystals.', 5: 'Science is seen as the way to make our way to the best of all possible worlds.', 6: 'Uniforms are outfits.', 7: 'Mausoleums vary greatly in size and design and are often found on cemetery grounds.', 8: 'Most landfills have areas where citizens can get rid of hazardous waste also.'}
| 6 |
5,342 |
['Either one or both of these statements are true: either fruit flies medicate offspring after seeing parasites or flower Essences are vibrational medicines, hence their effect on emotional states, or either objects have properties that can be observed using the senses or some seizures are idiopathic.', 'The claim that either fruit flies medicate offspring after seeing parasites or flower Essences are vibrational medicines, hence their effect on emotional states does not correspond with reality.', 'Assuming objects have properties that can be observed using the senses, we know that either illicit drugs are an immediate hazard to the user and to other individuals as well or some social creatures establish dominance.', "Either one or both of these statements are true: love is expressed in different ways, it can be a smile, and it can be a tear, or if some seizures are idiopathic, then the statement 'grandparents may have illnesses' can be considered false.", 'It is not true that love is expressed in different ways, it can be a smile, and it can be a tear.', "If the claim that if either illicit drugs are an immediate hazard to the user and to other individuals as well or some social creatures establish dominance, then the statement 'grandparents may have illnesses' can be considered false is false, then isles are located in sea.", 'When isles are located in sea is true, it follows that nocturnal species are normally larger.', 'It is not true that nocturnal species are normally larger.']
|
Either one or both of these statements are true: either fruit flies medicate offspring after seeing parasites or flower Essences are vibrational medicines, hence their effect on emotional states, or either objects have properties that can be observed using the senses or some seizures are idiopathic. The claim that either fruit flies medicate offspring after seeing parasites or flower Essences are vibrational medicines, hence their effect on emotional states does not correspond with reality. Assuming objects have properties that can be observed using the senses, we know that either illicit drugs are an immediate hazard to the user and to other individuals as well or some social creatures establish dominance. Either one or both of these statements are true: love is expressed in different ways, it can be a smile, and it can be a tear, or if some seizures are idiopathic, then the statement 'grandparents may have illnesses' can be considered false. It is not true that love is expressed in different ways, it can be a smile, and it can be a tear. If the claim that if either illicit drugs are an immediate hazard to the user and to other individuals as well or some social creatures establish dominance, then the statement 'grandparents may have illnesses' can be considered false is false, then isles are located in sea. When isles are located in sea is true, it follows that nocturnal species are normally larger. It is not true that nocturnal species are normally larger.
|
The statement 'grandparents may have illnesses' can be considered false.
|
It is rational to agree that grandparents may have illnesses.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Either [1] or [2].).
Not (Either [6] or [7].).
Therefore, Either [1] or [2]..
[SC2-1]
Hypothetical Syllogism:
If [1], then (Either [4] or [5].).
If (Either [4] or [5].), then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (Not [0].).).), then [8].
Not [8]. [SC2-3]
Therefore, If (Either [4] or [5].), then (Not [0].)..
[SC2-3]
Modus Tonens:
If [8], then [9].
Not [9].
Therefore, Not [8]..
[SC3-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [0].).).
Not [3].
Therefore, If [2], then (Not [0].)..
|
{0: 'Grandparents may have illnesses.', 1: 'Objects have properties that can be observed using the senses.', 2: 'Some seizures are idiopathic.', 3: 'Love is expressed in different ways, it can be a smile, and it can be a tear.', 4: 'Illicit drugs are an immediate hazard to the user and to other individuals as well.', 5: 'Some social creatures establish dominance.', 6: 'Fruit flies medicate offspring after seeing parasites .', 7: 'Flower Essences are vibrational medicines, hence their effect on emotional states.', 8: 'Isles are located in sea.', 9: 'Nocturnal species are normally larger.'}
| 6 |
5,416 |
["So long as either some leaves have a tendency to flop downward toward their tips or most hares has-part feet, 'if odd numbers alternate with even numbers, then materials possess properties' is true.", 'One may reasonably assume that if many organisms share patterns, then either some leaves have a tendency to flop downward toward their tips or most hares has-part feet.', 'Should it be the case that leaders are people who do the right things and managers are people who do things right, it follows that either some leaves have a tendency to flop downward toward their tips or most hares has-part feet.', 'One may reasonably assume that if the claim that either many organisms share patterns or leaders are people who do the right things and managers are people who do things right has no merit, then those that suggest most commercial citrines are heat-treated amethysts or smoky quartzes are wrong.', 'When the claim that either many organisms share patterns or leaders are people who do the right things and managers are people who do things right has no merit is true, it follows that most wasps have red heads.', "Once we know the statement that 'if most wasps have red heads, then most commercial citrines are heat-treated amethysts or smoky quartzes' is incorrect, we also know that it is not true that if numbers means census, counting, then some fish have cilia that create a continuous current through a U-tube nostril.", "On the condition that some people mistakenly believe that if the statement that 'if most wasps have red heads, then most commercial citrines are heat-treated amethysts or smoky quartzes' is incorrect, then if numbers means census, counting, then some fish have cilia that create a continuous current through a U-tube nostril, it is definitely the case that if plants are producers that make their own food through a process called photosynthesis, then some chemical reaction involves transformation.", "The statement that 'if plants are producers that make their own food through a process called photosynthesis, then some chemical reaction involves transformation' is incorrect."]
|
So long as either some leaves have a tendency to flop downward toward their tips or most hares has-part feet, 'if odd numbers alternate with even numbers, then materials possess properties' is true. One may reasonably assume that if many organisms share patterns, then either some leaves have a tendency to flop downward toward their tips or most hares has-part feet. Should it be the case that leaders are people who do the right things and managers are people who do things right, it follows that either some leaves have a tendency to flop downward toward their tips or most hares has-part feet. One may reasonably assume that if the claim that either many organisms share patterns or leaders are people who do the right things and managers are people who do things right has no merit, then those that suggest most commercial citrines are heat-treated amethysts or smoky quartzes are wrong. When the claim that either many organisms share patterns or leaders are people who do the right things and managers are people who do things right has no merit is true, it follows that most wasps have red heads. Once we know the statement that 'if most wasps have red heads, then most commercial citrines are heat-treated amethysts or smoky quartzes' is incorrect, we also know that it is not true that if numbers means census, counting, then some fish have cilia that create a continuous current through a U-tube nostril. On the condition that some people mistakenly believe that if the statement that 'if most wasps have red heads, then most commercial citrines are heat-treated amethysts or smoky quartzes' is incorrect, then if numbers means census, counting, then some fish have cilia that create a continuous current through a U-tube nostril, it is definitely the case that if plants are producers that make their own food through a process called photosynthesis, then some chemical reaction involves transformation. The statement that 'if plants are producers that make their own food through a process called photosynthesis, then some chemical reaction involves transformation' is incorrect.
|
One may reasonably assume that if odd numbers alternate with even numbers, then materials possess properties.
|
The claim that if odd numbers alternate with even numbers, then materials possess properties does not correspond with reality.
|
FALSE
|
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].).
Either [2] or [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either [2] or [3].).
If [5], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [6]. [SC1-3]
If (Not (Either [4] or [5].).), then (Not [6].).
Therefore, Either [4] or [5]..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [4] or [5].).), then [7].
If [7], then [6]. [SC2-4]
Therefore, If (Not (Either [4] or [5].).), then [6]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [7], then [6].).), then (If [8], then [9].). [SC1-5]
If (Not (If [7], then [6].).), then (Not (If [8], then [9].).).
Therefore, If [7], then [6]..
[SC1-5]
Modus Tonens:
If (Not (If (Not (If [7], then [6].).), then (If [8], then [9].).).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, If (Not (If [7], then [6].).), then (If [8], then [9].)..
|
{0: 'Odd numbers alternate with even numbers.', 1: 'Materials possess properties.', 2: 'Some leaves have a tendency to flop downward toward their tips.', 3: 'Most hares has-part feet.', 4: 'Many organisms share patterns.', 5: 'Leaders are people who do the right things and managers are people who do things right.', 6: 'Most commercial citrines are heat-treated amethysts or smoky quartzes.', 7: 'Most wasps have red heads.', 8: 'Numbers means census, counting.', 9: 'Some fish have cilia that create a continuous current through a U-tube nostril.', 10: 'Plants are producers that make their own food through a process called photosynthesis.', 11: 'Some chemical reaction involves transformation.'}
| 6 |
5,711 |
['It is a fact that either most tissue has similar functions or either pasteurization is a heat process used to destroy all disease-causing microbes or diseases therefore tend to show cycles.', 'The claim that most tissue has similar functions has no merit.', "Should it be the case that some people mistakenly believe that if pasteurization is a heat process used to destroy all disease-causing microbes, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, it follows that if screws have (part) screw thread, then scouts are clubs.", "One may reasonably assume that if some people mistakenly believe that if pasteurization is a heat process used to destroy all disease-causing microbes, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, then the claim that if screws have (part) screw thread, then scouts are clubs does not reflect reality.", 'We know that either sexual abusers have good prospects for recovery when properly treated or precipitation has (part) ice needles.', "Assuming sexual abusers have good prospects for recovery when properly treated, we know that if diseases therefore tend to show cycles, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false.", "Assuming it is not the case that if precipitation has (part) ice needles, then if diseases therefore tend to show cycles, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, we know that histone acetylation plays a key role in the regulation of eukaryotic gene expression.", 'Should it be the case that histone acetylation plays a key role in the regulation of eukaryotic gene expression, it follows that coral reefs are the largest natural structures in the world.', 'The claim that coral reefs are the largest natural structures in the world has no merit.']
|
It is a fact that either most tissue has similar functions or either pasteurization is a heat process used to destroy all disease-causing microbes or diseases therefore tend to show cycles. The claim that most tissue has similar functions has no merit. Should it be the case that some people mistakenly believe that if pasteurization is a heat process used to destroy all disease-causing microbes, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, it follows that if screws have (part) screw thread, then scouts are clubs. One may reasonably assume that if some people mistakenly believe that if pasteurization is a heat process used to destroy all disease-causing microbes, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, then the claim that if screws have (part) screw thread, then scouts are clubs does not reflect reality. We know that either sexual abusers have good prospects for recovery when properly treated or precipitation has (part) ice needles. Assuming sexual abusers have good prospects for recovery when properly treated, we know that if diseases therefore tend to show cycles, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false. Assuming it is not the case that if precipitation has (part) ice needles, then if diseases therefore tend to show cycles, then the statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false, we know that histone acetylation plays a key role in the regulation of eukaryotic gene expression. Should it be the case that histone acetylation plays a key role in the regulation of eukaryotic gene expression, it follows that coral reefs are the largest natural structures in the world. The claim that coral reefs are the largest natural structures in the world has no merit.
|
The statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false.
|
The statement 'either roofs usually have the largest surface areas and are exposed to airborne sparks or animals often have human characteristics' can be considered false.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Not (Either [0] or [1].).). [SC2-1]
If [3], then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].).
Not [4].
Therefore, Either [2] or [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not (Either [0] or [1].).).).), then (If [7], then [8].).
If (Not (If [2], then (Not (Either [0] or [1].).).).), then (Not (If [7], then [8].).).
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC3-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (Not (Either [0] or [1].).).).
If [6], then (If [3], then (Not (Either [0] or [1].).).). [SC3-2]
Therefore, If [3], then (Not (Either [0] or [1].).)..
[SC3-2]
Modus Tonens:
If (Not (If [6], then (If [3], then (Not (Either [0] or [1].).).).).), then [9].
Not [9]. [SC2-3]
Therefore, If [6], then (If [3], then (Not (Either [0] or [1].).).)..
[SC2-3]
Modus Tonens:
If [9], then [10].
Not [10].
Therefore, Not [9]..
|
{0: 'Roofs usually have the largest surface areas and are exposed to airborne sparks.', 1: 'Animals often have human characteristics.', 2: 'Pasteurization is a heat process used to destroy all disease-causing microbes.', 3: 'Diseases therefore tend to show cycles.', 4: 'Most tissue has similar functions.', 5: 'Sexual abusers have good prospects for recovery when properly treated.', 6: 'Precipitation has (part) ice needles.', 7: 'Screws have (part) screw thread.', 8: 'Scouts are clubs.', 9: 'Histone acetylation plays a key role in the regulation of eukaryotic gene expression.', 10: 'Coral reefs are the largest natural structures in the world.'}
| 6 |
5,557 |
["Whenever it is true that the statement that states sediments are typically sand and gravel with some clay is false, 'either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish' is true.", 'One may reasonably assume that if studies show sticks can reduce strain on hips, knees and ankles, then it is not true that either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish.', 'On the condition that inattention is a common cause of crashes, it is definitely the case that either studies show sticks can reduce strain on hips, knees and ankles or glumes are somewhat longer than in common oats.', 'The claim that inattention is a common cause of crashes is true.', "So long as the statement 'if the claim that if glumes are somewhat longer than in common oats, then it is not true that either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish is false, then fear is the basis of much violence that occurs at direct action situations' can be considered false, 'climatic condition is primarily maritime in nature, cool in the summers and mild in the winter' is true.", 'It is a common misconception that climatic condition is primarily maritime in nature, cool in the summers and mild in the winter.', 'It is rational to believe that either poverty is a financial condition or the claim that fear is the basis of much violence that occurs at direct action situations does not reflect reality.', 'Those that suggest poverty is a financial condition are wrong.']
|
Whenever it is true that the statement that states sediments are typically sand and gravel with some clay is false, 'either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish' is true. One may reasonably assume that if studies show sticks can reduce strain on hips, knees and ankles, then it is not true that either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish. On the condition that inattention is a common cause of crashes, it is definitely the case that either studies show sticks can reduce strain on hips, knees and ankles or glumes are somewhat longer than in common oats. The claim that inattention is a common cause of crashes is true. So long as the statement 'if the claim that if glumes are somewhat longer than in common oats, then it is not true that either millipedes have four per body segment and they have lots of body segments or marine formula obtains the collagen from tuna fish is false, then fear is the basis of much violence that occurs at direct action situations' can be considered false, 'climatic condition is primarily maritime in nature, cool in the summers and mild in the winter' is true. It is a common misconception that climatic condition is primarily maritime in nature, cool in the summers and mild in the winter. It is rational to believe that either poverty is a financial condition or the claim that fear is the basis of much violence that occurs at direct action situations does not reflect reality. Those that suggest poverty is a financial condition are wrong.
|
sediments are typically sand and gravel with some clay.
|
Sediment can collect at the bottom of water heaters.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not (Either [1] or [2].).).
If [4], then (Not (Either [1] or [2].).). [SC3-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5]
Therefore, Either [3] or [4]..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Not (Either [1] or [2].).).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If [4], then (Not (Either [1] or [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [4], then (Not (Either [1] or [2].).).).), then [6].).), then [8].
Not [8].
Therefore, If (Not (If [4], then (Not (Either [1] or [2].).).).), then [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [6].).
Not [7].
Therefore, Not [6]..
|
{0: 'Sediments are typically sand and gravel with some clay.', 1: 'Millipedes have four per body segment and they have lots of body segments.', 2: 'Marine formula obtains the collagen from tuna fish.', 3: 'Studies show sticks can reduce strain on hips, knees and ankles.', 4: 'Glumes are somewhat longer than in common oats.', 5: 'Inattention is a common cause of crashes.', 6: 'Fear is the basis of much violence that occurs at direct action situations.', 7: 'Poverty is a financial condition.', 8: 'Climatic condition is primarily maritime in nature, cool in the summers and mild in the winter.'}
| 6 |
5,050 |
["If it is a common misconception that genes are our bodies' instructions on how to develop and how to function, then diatoms are 'phytoplankton' or the 'grass of the oceans'.", "Provided that it is a common misconception that genes are our bodies' instructions on how to develop and how to function, we know that the claim that diatoms are 'phytoplankton' or the 'grass of the oceans' does not correspond with reality.", "It is a fact that either patients consider candida infection or if genes are our bodies' instructions on how to develop and how to function, then hormone therapy is used against certain cancers that depend on hormones for their growth.", 'Provided that hormone therapy is used against certain cancers that depend on hormones for their growth, we know that sabras are tough.', 'Once we know sabras are tough, we also know that it is not true that stem cells are immortal and can be grown indefinitely in the laboratory.', 'Assuming abuse includes physical, sexual, mental, or emotional harm, we know that the claim that patients consider candida infection has no merit.', 'The claim that abuse includes physical, sexual, mental, or emotional harm holds true.']
|
If it is a common misconception that genes are our bodies' instructions on how to develop and how to function, then diatoms are 'phytoplankton' or the 'grass of the oceans'. Provided that it is a common misconception that genes are our bodies' instructions on how to develop and how to function, we know that the claim that diatoms are 'phytoplankton' or the 'grass of the oceans' does not correspond with reality. It is a fact that either patients consider candida infection or if genes are our bodies' instructions on how to develop and how to function, then hormone therapy is used against certain cancers that depend on hormones for their growth. Provided that hormone therapy is used against certain cancers that depend on hormones for their growth, we know that sabras are tough. Once we know sabras are tough, we also know that it is not true that stem cells are immortal and can be grown indefinitely in the laboratory. Assuming abuse includes physical, sexual, mental, or emotional harm, we know that the claim that patients consider candida infection has no merit. The claim that abuse includes physical, sexual, mental, or emotional harm holds true.
|
It is not true that stem cells are immortal and can be grown indefinitely in the laboratory.
|
The statement 'stem cells are immortal and can be grown indefinitely in the laboratory' is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then [2].).
Not [5]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].).
[6]
Therefore, Not [5]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Not [0].).
Therefore, If [2], then (Not [0].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [3].
If (Not [1].), then (Not [3].).
Therefore, [1].
|
{0: 'Stem cells are immortal and can be grown indefinitely in the laboratory.', 1: "Genes are our bodies' instructions on how to develop and how to function.", 2: 'Hormone therapy is used against certain cancers that depend on hormones for their growth.', 3: "Diatoms are 'phytoplankton' or the 'grass of the oceans'.", 4: 'Sabras are tough.', 5: 'Patients consider candida infection.', 6: 'Abuse includes physical, sexual, mental, or emotional harm.'}
| 6 |
5,162 |
['Provided that we know that the claim that anaerobic bacteria use uranium species in solution as a part of their metabolic process is false, we know that some caterpillars feed on evergreens.', "Should it be the case that either maternity colonies begin to disband in late summer and early fall or travel can be hazardous, and Lagos has one of the world's highest crime rates, it follows that if some caterpillars feed on evergreens, then genetic mechanisms contribute to evolution.", "There is good reason to believe that either maternity colonies begin to disband in late summer and early fall or travel can be hazardous, and Lagos has one of the world's highest crime rates.", "Whenever it is true that the statement, if genetic mechanisms contribute to evolution, then some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold, 'panamanian has (part) sections' is true.", "When the statement, if genetic mechanisms contribute to evolution, then some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold is true, it follows that the statement that 'panamanian has (part) sections' is incorrect.", 'It is rational to believe that either potato leafhopper can seriously damage young plants, causing stunting and yellowing of leaves or many national parks have active archeological programs.', 'Should it be the case that potato leafhopper can seriously damage young plants, causing stunting and yellowing of leaves, it follows that if genetic mechanisms contribute to evolution, then the statement, some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold.', 'Provided that many national parks have active archeological programs, we know that if genetic mechanisms contribute to evolution, then the statement, some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold.']
|
Provided that we know that the claim that anaerobic bacteria use uranium species in solution as a part of their metabolic process is false, we know that some caterpillars feed on evergreens. Should it be the case that either maternity colonies begin to disband in late summer and early fall or travel can be hazardous, and Lagos has one of the world's highest crime rates, it follows that if some caterpillars feed on evergreens, then genetic mechanisms contribute to evolution. There is good reason to believe that either maternity colonies begin to disband in late summer and early fall or travel can be hazardous, and Lagos has one of the world's highest crime rates. Whenever it is true that the statement, if genetic mechanisms contribute to evolution, then some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold, 'panamanian has (part) sections' is true. When the statement, if genetic mechanisms contribute to evolution, then some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold is true, it follows that the statement that 'panamanian has (part) sections' is incorrect. It is rational to believe that either potato leafhopper can seriously damage young plants, causing stunting and yellowing of leaves or many national parks have active archeological programs. Should it be the case that potato leafhopper can seriously damage young plants, causing stunting and yellowing of leaves, it follows that if genetic mechanisms contribute to evolution, then the statement, some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold. Provided that many national parks have active archeological programs, we know that if genetic mechanisms contribute to evolution, then the statement, some countries impose numerous taxes, others make firms wait half a year before getting to work, does not hold.
|
Many people rightly believe that anaerobic bacteria use uranium species in solution as a part of their metabolic process.
|
The statement 'anaerobic bacteria use uranium species in solution as a part of their metabolic process' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If (Either [5] or [6].), then (If [3], then [1].).
Either [5] or [6].
Therefore, If [3], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [4].
If (Not (If [1], then [2].).), then (Not [4].).
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [1], then (Not [2].).).
If [8], then (If [1], then (Not [2].).).
Therefore, If [1], then (Not [2].)..
|
{0: 'Anaerobic bacteria use uranium species in solution as a part of their metabolic process.', 1: 'Genetic mechanisms contribute to evolution.', 2: 'Some countries impose numerous taxes, others make firms wait half a year before getting to work.', 3: 'Some caterpillars feed on evergreens.', 4: 'Panamanian has (part) sections.', 5: 'Maternity colonies begin to disband in late summer and early fall.', 6: "Travel can be hazardous, and Lagos has one of the world's highest crime rates.", 7: 'Potato leafhopper can seriously damage young plants, causing stunting and yellowing of leaves.', 8: 'Many national parks have active archeological programs.'}
| 6 |
5,765 |
['We know that at least one of two things is true: either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, or most bison stand on legs.', "Given that the statement that 'if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then the notion that 'extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is untrue' is incorrect, it can be inferred that shared memory is used by shared libraries.", "Whenever it is true that the statement that 'if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then the notion that 'extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is untrue' is incorrect, 'the statement that states shared memory is used by shared libraries is false' is true.", 'At least one of two things is true: some birds live in the trees, some by the shore, or most vegetarians eat fruit.', "Whenever it is true that some birds live in the trees, some by the shore, 'if some people sell animals, then if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is true.", 'Given that most vegetarians eat fruit, it can be inferred that if some people sell animals, then if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then extrapyramidal manifestations can occur, and can be treated with diphenhydramine.', 'Provided that we know that the claim that some people sell animals is false, we know that most spectrum lines are part of spectra.', "The statement 'most spectrum lines are part of spectra' can be considered false."]
|
We know that at least one of two things is true: either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, or most bison stand on legs. Given that the statement that 'if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then the notion that 'extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is untrue' is incorrect, it can be inferred that shared memory is used by shared libraries. Whenever it is true that the statement that 'if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then the notion that 'extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is untrue' is incorrect, 'the statement that states shared memory is used by shared libraries is false' is true. At least one of two things is true: some birds live in the trees, some by the shore, or most vegetarians eat fruit. Whenever it is true that some birds live in the trees, some by the shore, 'if some people sell animals, then if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then extrapyramidal manifestations can occur, and can be treated with diphenhydramine' is true. Given that most vegetarians eat fruit, it can be inferred that if some people sell animals, then if either wisdom is knowledge tested by experience and tempered by discerning judgment or cigar Lake is one of the largest, high-grade uranium orebodies in the world, then extrapyramidal manifestations can occur, and can be treated with diphenhydramine. Provided that we know that the claim that some people sell animals is false, we know that most spectrum lines are part of spectra. The statement 'most spectrum lines are part of spectra' can be considered false.
|
Those that suggest most bison stand on legs are right.
|
Those that suggest most bison stand on legs are right.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0].
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3]. [SC1-2]
If (Either [1] or [2].), then (Not [3].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [5], then (If (Either [1] or [2].), then [3].). [SC1-3]
[5] [SC2-3]
Therefore, If (Either [1] or [2].), then [3]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [5], then (If (Either [1] or [2].), then [3].).).
If [8], then (If [5], then (If (Either [1] or [2].), then [3].).).
Therefore, If [5], then (If (Either [1] or [2].), then [3].)..
[SC2-3]
Modus Tonens:
If (Not [5].), then [6].
Not [6].
Therefore, [5].
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then (Not [3].).).), then [4].
If (Not (If (Either [1] or [2].), then (Not [3].).).), then (Not [4].).
Therefore, If (Either [1] or [2].), then (Not [3].)..
|
{0: 'Most bison stand on legs.', 1: 'Wisdom is knowledge tested by experience and tempered by discerning judgment.', 2: 'Cigar Lake is one of the largest, high-grade uranium orebodies in the world.', 3: 'Extrapyramidal manifestations can occur, and can be treated with diphenhydramine.', 4: 'Shared memory is used by shared libraries.', 5: 'Some people sell animals.', 6: 'Most spectrum lines are part of spectra.', 7: 'Some birds live in the trees, some by the shore.', 8: 'Most vegetarians eat fruit.'}
| 6 |
5,856 |
['Assuming it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, we know that essential oils are the whole organic substances which give plants their scent.', "When the statement 'if it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, then the statement 'essential oils are the whole organic substances which give plants their scent' can be considered false' can be considered false is true, it follows that most proteins are too large to pass through the glomeruli into the urine.", "Once we know the statement 'if it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, then the statement 'essential oils are the whole organic substances which give plants their scent' can be considered false' can be considered false, we also know that the statement that states most proteins are too large to pass through the glomeruli into the urine is false.", 'When it is not the case that if some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, then dragonflies eat larvae is true, it follows that japan is the only other country with observer status that practices capital punishment.', 'Provided that it is not the case that if some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, then dragonflies eat larvae, we know that some people mistakenly believe that japan is the only other country with observer status that practices capital punishment.', 'Provided that some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, we know that most frogs produce noxious secretion.', 'On the condition that most frogs produce noxious secretion, it is definitely the case that the claim that dragonflies eat larvae has no merit.']
|
Assuming it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, we know that essential oils are the whole organic substances which give plants their scent. When the statement 'if it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, then the statement 'essential oils are the whole organic substances which give plants their scent' can be considered false' can be considered false is true, it follows that most proteins are too large to pass through the glomeruli into the urine. Once we know the statement 'if it is a common misconception that if we know that the claim that healing is the work a physician performs is false, then most nectar attracts butterflies, then the statement 'essential oils are the whole organic substances which give plants their scent' can be considered false' can be considered false, we also know that the statement that states most proteins are too large to pass through the glomeruli into the urine is false. When it is not the case that if some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, then dragonflies eat larvae is true, it follows that japan is the only other country with observer status that practices capital punishment. Provided that it is not the case that if some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, then dragonflies eat larvae, we know that some people mistakenly believe that japan is the only other country with observer status that practices capital punishment. Provided that some people mistakenly believe that if we know that the claim that healing is the work a physician performs is false, then some people mistakenly believe that most nectar attracts butterflies, we know that most frogs produce noxious secretion. On the condition that most frogs produce noxious secretion, it is definitely the case that the claim that dragonflies eat larvae has no merit.
|
healing is the work a physician performs.
|
Healing is the work a physician performs.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2].
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [5].
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then (Not [5].).
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [6].
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then (Not [6].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [4].
If [4], then (Not [3].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].)..
|
{0: 'Healing is the work a physician performs.', 1: 'Most nectar attracts butterflies.', 2: 'Essential oils are the whole organic substances which give plants their scent.', 3: 'Dragonflies eat larvae.', 4: 'Most frogs produce noxious secretion.', 5: 'Most proteins are too large to pass through the glomeruli into the urine.', 6: 'Japan is the only other country with observer status that practices capital punishment.'}
| 6 |
5,867 |
['It is rational to believe that either energy is produced by sound vibration or procedural programming is much easier for most people to understand than functional programming.', 'Either a siltstone is a sandstone or if many people believe that graffiti means that gangs are moving into their neighborhood, then if procedural programming is much easier for most people to understand than functional programming, then either some predators feed on small insects or freckles are lentigos.', 'The statement, a siltstone is a sandstone, does not hold.', 'Assuming either most claws enable animals or sandy soil absorbs water fast but can lose it just as quick, we know that many people believe that graffiti means that gangs are moving into their neighborhood.', 'We know that either most claws enable animals or sandy soil absorbs water fast but can lose it just as quick.', 'Provided that energy is produced by sound vibration, we know that art is, for little children, a language, a form of expression.', 'The statement, art is, for little children, a language, a form of expression, does not hold.']
|
It is rational to believe that either energy is produced by sound vibration or procedural programming is much easier for most people to understand than functional programming. Either a siltstone is a sandstone or if many people believe that graffiti means that gangs are moving into their neighborhood, then if procedural programming is much easier for most people to understand than functional programming, then either some predators feed on small insects or freckles are lentigos. The statement, a siltstone is a sandstone, does not hold. Assuming either most claws enable animals or sandy soil absorbs water fast but can lose it just as quick, we know that many people believe that graffiti means that gangs are moving into their neighborhood. We know that either most claws enable animals or sandy soil absorbs water fast but can lose it just as quick. Provided that energy is produced by sound vibration, we know that art is, for little children, a language, a form of expression. The statement, art is, for little children, a language, a form of expression, does not hold.
|
It is a fact that either some predators feed on small insects or freckles are lentigos.
|
The notion that 'either some predators feed on small insects or freckles are lentigos' is untrue.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (Either [0] or [1].).). [SC1-2]
[3] [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If [3], then (If [2], then (Either [0] or [1].).).).
Not [8].
Therefore, If [3], then (If [2], then (Either [0] or [1].).)..
[SC2-2]
Modus Ponens:
If (Either [6] or [7].), then [3].
Either [6] or [7].
Therefore, [3].
[SC2-1]
Disjunctive Syllogism:
Either [4] or [2].
Not [4]. [SC2-2]
Therefore, [2].
[SC2-2]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Some predators feed on small insects.', 1: 'Freckles are lentigos.', 2: 'Procedural programming is much easier for most people to understand than functional programming.', 3: 'Many people believe that graffiti means that gangs are moving into their neighborhood.', 4: 'Energy is produced by sound vibration.', 5: 'Art is, for little children, a language, a form of expression.', 6: 'Most claws enable animals.', 7: 'Sandy soil absorbs water fast but can lose it just as quick.', 8: 'A siltstone is a sandstone.'}
| 6 |
5,524 |
['We know that at least one of two things is true: pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature, or a mahjong is a board game.', 'Provided that if love is our reason to continue life in the absence of color and taste and touch, then children build self-esteem by dealing with normal life experiences, we know that either architecture exists throughout the world and is the stuff that shapes our towns and our communities or decision trees represent a set of rules.', 'Given that love is our reason to continue life in the absence of color and taste and touch, it can be inferred that children build self-esteem by dealing with normal life experiences.', 'If architecture exists throughout the world and is the stuff that shapes our towns and our communities, then most people have an even number as their fifth digit, independent of ethnicity.', 'Should it be the case that some people mistakenly believe that if decision trees represent a set of rules, then some people mistakenly believe that pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature, it follows that most nectar attracts ants.', "The statement that 'most nectar attracts ants' is incorrect.", "Assuming the statement 'if most people have an even number as their fifth digit, independent of ethnicity, then some people mistakenly believe that pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature' can be considered false, we know that if patriotism means to stand by the country, then acid rain is caused by the emission and atmospheric transport of sulfur and nitrogen pollutants.", 'The claim that if patriotism means to stand by the country, then acid rain is caused by the emission and atmospheric transport of sulfur and nitrogen pollutants does not correspond with reality.']
|
We know that at least one of two things is true: pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature, or a mahjong is a board game. Provided that if love is our reason to continue life in the absence of color and taste and touch, then children build self-esteem by dealing with normal life experiences, we know that either architecture exists throughout the world and is the stuff that shapes our towns and our communities or decision trees represent a set of rules. Given that love is our reason to continue life in the absence of color and taste and touch, it can be inferred that children build self-esteem by dealing with normal life experiences. If architecture exists throughout the world and is the stuff that shapes our towns and our communities, then most people have an even number as their fifth digit, independent of ethnicity. Should it be the case that some people mistakenly believe that if decision trees represent a set of rules, then some people mistakenly believe that pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature, it follows that most nectar attracts ants. The statement that 'most nectar attracts ants' is incorrect. Assuming the statement 'if most people have an even number as their fifth digit, independent of ethnicity, then some people mistakenly believe that pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature' can be considered false, we know that if patriotism means to stand by the country, then acid rain is caused by the emission and atmospheric transport of sulfur and nitrogen pollutants. The claim that if patriotism means to stand by the country, then acid rain is caused by the emission and atmospheric transport of sulfur and nitrogen pollutants does not correspond with reality.
|
The idea that a mahjong is a board game is true.
|
The idea that a mahjong is a board game is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (If [5], then [6].), then (Either [2] or [3].).
If [5], then [6].
Therefore, Either [2] or [3]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [7].
If [7], then (Not [1].). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Modus Tonens:
If (Not (If [7], then (Not [1].).).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If [7], then (Not [1].)..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then [4].
Not [4].
Therefore, If [3], then (Not [1].)..
|
{0: 'A mahjong is a board game.', 1: 'Pure cesium is a beautiful silver-gold coloured metal that melts just above room temperature.', 2: 'Architecture exists throughout the world and is the stuff that shapes our towns and our communities.', 3: 'Decision trees represent a set of rules.', 4: 'Most nectar attracts ants.', 5: 'Love is our reason to continue life in the absence of color and taste and touch.', 6: 'Children build self-esteem by dealing with normal life experiences.', 7: 'Most people have an even number as their fifth digit, independent of ethnicity.', 8: 'Patriotism means to stand by the country.', 9: 'Acid rain is caused by the emission and atmospheric transport of sulfur and nitrogen pollutants.'}
| 6 |
5,443 |
['We know that either bulletin boards are electronic discussion forums or irrigation management involves matching the amount of water precisely to plant needs.', 'Provided that bulletin boards are electronic discussion forums, we know that the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold.', 'Provided that irrigation management involves matching the amount of water precisely to plant needs, we know that rhodonite is for projecting elegance.', 'The claim that most cats have natural instinct has no merit.', 'If community is people establishing a series of relationships, then either most cats have natural instinct or if rhodonite is for projecting elegance, then the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold.', 'We know that either tea helps urinary ailment or horses live in groups.', 'On the condition that tea helps urinary ailment, it is definitely the case that either community is people establishing a series of relationships or grow trees produce crops.', 'Provided that horses live in groups, we know that either community is people establishing a series of relationships or grow trees produce crops.', 'Should it be the case that sCSI chains are very sensitive, it follows that if grow trees produce crops, then either most cats have natural instinct or if rhodonite is for projecting elegance, then the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold.', 'It is true that sCSI chains are very sensitive.']
|
We know that either bulletin boards are electronic discussion forums or irrigation management involves matching the amount of water precisely to plant needs. Provided that bulletin boards are electronic discussion forums, we know that the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold. Provided that irrigation management involves matching the amount of water precisely to plant needs, we know that rhodonite is for projecting elegance. The claim that most cats have natural instinct has no merit. If community is people establishing a series of relationships, then either most cats have natural instinct or if rhodonite is for projecting elegance, then the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold. We know that either tea helps urinary ailment or horses live in groups. On the condition that tea helps urinary ailment, it is definitely the case that either community is people establishing a series of relationships or grow trees produce crops. Provided that horses live in groups, we know that either community is people establishing a series of relationships or grow trees produce crops. Should it be the case that sCSI chains are very sensitive, it follows that if grow trees produce crops, then either most cats have natural instinct or if rhodonite is for projecting elegance, then the statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold. It is true that sCSI chains are very sensitive.
|
The statement, humans use education and teaching to pass on skills , ideas and customs to the next generations , does not hold.
|
The claim that humans use education and teaching to pass on skills , ideas and customs to the next generations is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3].
If [3], then (Not [0].). [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [0].).). [SC1-3]
Not [4].
Therefore, If [3], then (Not [0].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (Either [4] or (If [3], then (Not [0].).).).
If [6], then (Either [4] or (If [3], then (Not [0].).).). [SC3-4]
Therefore, Either [4] or (If [3], then (Not [0].).)..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC3-4]
Modus Ponens:
If [9], then (If [6], then (Either [4] or (If [3], then (Not [0].).).).).
[9]
Therefore, If [6], then (Either [4] or (If [3], then (Not [0].).).)..
|
{0: 'Humans use education and teaching to pass on skills , ideas and customs to the next generations .', 1: 'Bulletin boards are electronic discussion forums.', 2: 'Irrigation management involves matching the amount of water precisely to plant needs.', 3: 'Rhodonite is for projecting elegance.', 4: 'Most cats have natural instinct.', 5: 'Community is people establishing a series of relationships.', 6: 'Grow trees produce crops.', 7: 'Tea helps urinary ailment.', 8: 'Horses live in groups.', 9: 'SCSI chains are very sensitive.'}
| 6 |
5,172 |
['It is a fact that either pregnancy is associated with a great deal of systemic vascular changes or mental health is an integral part of our overall health.', "The notion that 'smoke alarms save lives ' is untrue.", 'One may reasonably assume that if mangroves characteristically have roots growing above the mud, then animals require adequate food, shelter, and other resources to survive.', 'When animals require adequate food, shelter, and other resources to survive is true, it follows that if pregnancy is associated with a great deal of systemic vascular changes, then smoke alarms save lives .', 'Those that suggest if alcohol can cause stomach problems, memory loss, impotence and liver damage, then gelatin has (part) atoms are wrong.', 'If the statement, mangroves characteristically have roots growing above the mud, does not hold, then types have significant impact.', 'Provided that types have significant impact, we know that if alcohol can cause stomach problems, memory loss, impotence and liver damage, then gelatin has (part) atoms.']
|
It is a fact that either pregnancy is associated with a great deal of systemic vascular changes or mental health is an integral part of our overall health. The notion that 'smoke alarms save lives ' is untrue. One may reasonably assume that if mangroves characteristically have roots growing above the mud, then animals require adequate food, shelter, and other resources to survive. When animals require adequate food, shelter, and other resources to survive is true, it follows that if pregnancy is associated with a great deal of systemic vascular changes, then smoke alarms save lives . Those that suggest if alcohol can cause stomach problems, memory loss, impotence and liver damage, then gelatin has (part) atoms are wrong. If the statement, mangroves characteristically have roots growing above the mud, does not hold, then types have significant impact. Provided that types have significant impact, we know that if alcohol can cause stomach problems, memory loss, impotence and liver damage, then gelatin has (part) atoms.
|
mental health is an integral part of our overall health.
|
Mental health is an integral part of our overall health.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [1], then [2].). [SC1-3]
[3] [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If [1], then [2].).
Therefore, If [3], then (If [1], then [2].)..
[SC2-3]
Modus Tonens:
If (Not [3].), then (If [4], then [5].). [SC1-4]
Not (If [4], then [5].).
Therefore, [3].
[SC1-4]
Hypothetical Syllogism:
If (Not [3].), then [7].
If [7], then (If [4], then [5].).
Therefore, If (Not [3].), then (If [4], then [5].)..
|
{0: 'Mental health is an integral part of our overall health.', 1: 'Pregnancy is associated with a great deal of systemic vascular changes.', 2: 'Smoke alarms save lives .', 3: 'Mangroves characteristically have roots growing above the mud.', 4: 'Alcohol can cause stomach problems, memory loss, impotence and liver damage.', 5: 'Gelatin has (part) atoms.', 6: 'Animals require adequate food, shelter, and other resources to survive.', 7: 'Types have significant impact.'}
| 6 |
5,956 |
['There is good reason to believe that either vets test levels or if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors.', 'It is rational to agree that dark green is masculine, conservative, and implies wealth.', 'If illnesses are always the result of exposures over time, then if if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors, then students make trips.', 'We know that at least one of two things is true: pressure is force divided by area, or if dark green is masculine, conservative, and implies wealth, then if vets test levels, then students make trips.', "The statement that 'pressure is force divided by area' is incorrect.", "It is rational to believe that either macaroni penguins return to breed colonies or either illnesses are always the result of exposures over time or many cases involving the violation of women's rights take place in Islamic countries.", 'We know that the claim that macaroni penguins return to breed colonies is false.', "So long as pillows are located in bedrooms, 'if many cases involving the violation of women's rights take place in Islamic countries, then if if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors, then students make trips' is true.", 'We can assume that pillows are located in bedrooms.']
|
There is good reason to believe that either vets test levels or if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors. It is rational to agree that dark green is masculine, conservative, and implies wealth. If illnesses are always the result of exposures over time, then if if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors, then students make trips. We know that at least one of two things is true: pressure is force divided by area, or if dark green is masculine, conservative, and implies wealth, then if vets test levels, then students make trips. The statement that 'pressure is force divided by area' is incorrect. It is rational to believe that either macaroni penguins return to breed colonies or either illnesses are always the result of exposures over time or many cases involving the violation of women's rights take place in Islamic countries. We know that the claim that macaroni penguins return to breed colonies is false. So long as pillows are located in bedrooms, 'if many cases involving the violation of women's rights take place in Islamic countries, then if if some urethras pass through diaphragms, then mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors, then students make trips' is true. We can assume that pillows are located in bedrooms.
|
It is a simple truth that students make trips.
|
The notion that 'students make trips' is untrue.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [6], then (If [1], then [0].). [SC1-2]
[6]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [6], then (If [1], then [0].).).
Not [7].
Therefore, If [6], then (If [1], then [0].)..
[SC3-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If (If [2], then [3].), then [0].).
If [5], then (If (If [2], then [3].), then [0].). [SC3-2]
Therefore, If (If [2], then [3].), then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either [4] or [5].).
Not [9].
Therefore, Either [4] or [5]..
[SC3-2]
Modus Ponens:
If [8], then (If [5], then (If (If [2], then [3].), then [0].).).
[8]
Therefore, If [5], then (If (If [2], then [3].), then [0].)..
|
{0: 'Students make trips.', 1: 'Vets test levels.', 2: 'Some urethras pass through diaphragms.', 3: 'Mitosis then becomes a weapon turned against the body, spurring the growth of invasive tumors.', 4: 'Illnesses are always the result of exposures over time.', 5: "Many cases involving the violation of women's rights take place in Islamic countries.", 6: 'Dark green is masculine, conservative, and implies wealth.', 7: 'Pressure is force divided by area.', 8: 'Pillows are located in bedrooms.', 9: 'Macaroni penguins return to breed colonies.'}
| 6 |
5,330 |
['One may reasonably assume that if syllables are the segmental units of spoken words which are sequences of one or more phonemes, then if accounting is ingrained in our society and vital to our economic system, then some spiders possess lungs.', "So long as either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers, 'if accounting is ingrained in our society and vital to our economic system, then some spiders possess lungs' is true.", 'It is a fact that either lie is an intransitive verb, and lay is a transitive verb or if tetrahymena has (part) plasma membranes, then some talons are part of swans.', 'Once we know lie is an intransitive verb, and lay is a transitive verb, we also know that it is not true that some spiders possess lungs.', "If the claim that either syllables are the segmental units of spoken words which are sequences of one or more phonemes or either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers has no merit, then some people mistakenly believe that rainbows are the predominant species found in southern Alberta's trout streams.", 'At least one of two things is true: cholesterol is a fat-like substance found in all animal cells, human and otherwise, or if if tetrahymena has (part) plasma membranes, then some talons are part of swans, then it is not true that some spiders possess lungs.', 'We know that the claim that cholesterol is a fat-like substance found in all animal cells, human and otherwise is false.', "One may reasonably assume that if echidnas have sharp claws, then if the claim that either syllables are the segmental units of spoken words which are sequences of one or more phonemes or either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers has no merit, then rainbows are the predominant species found in southern Alberta's trout streams.", 'It is the case that echidnas have sharp claws.']
|
One may reasonably assume that if syllables are the segmental units of spoken words which are sequences of one or more phonemes, then if accounting is ingrained in our society and vital to our economic system, then some spiders possess lungs. So long as either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers, 'if accounting is ingrained in our society and vital to our economic system, then some spiders possess lungs' is true. It is a fact that either lie is an intransitive verb, and lay is a transitive verb or if tetrahymena has (part) plasma membranes, then some talons are part of swans. Once we know lie is an intransitive verb, and lay is a transitive verb, we also know that it is not true that some spiders possess lungs. If the claim that either syllables are the segmental units of spoken words which are sequences of one or more phonemes or either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers has no merit, then some people mistakenly believe that rainbows are the predominant species found in southern Alberta's trout streams. At least one of two things is true: cholesterol is a fat-like substance found in all animal cells, human and otherwise, or if if tetrahymena has (part) plasma membranes, then some talons are part of swans, then it is not true that some spiders possess lungs. We know that the claim that cholesterol is a fat-like substance found in all animal cells, human and otherwise is false. One may reasonably assume that if echidnas have sharp claws, then if the claim that either syllables are the segmental units of spoken words which are sequences of one or more phonemes or either coastal ecosystems are one of the richest locations of marine biodiversity or caribou are unique among deer in that both male and female have antlers has no merit, then rainbows are the predominant species found in southern Alberta's trout streams. It is the case that echidnas have sharp claws.
|
Those that suggest accounting is ingrained in our society and vital to our economic system are wrong.
|
It is rational to agree that accounting is ingrained in our society and vital to our economic system.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].). [SC1-2]
If [5], then (If [0], then [1].).
If (Either [6] or [7].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [5] or (Either [6] or [7].).).), then [9]. [SC1-3]
If (Not (Either [5] or (Either [6] or [7].).).), then (Not [9].).
Therefore, Either [5] or (Either [6] or [7].)..
[SC1-3]
Modus Ponens:
If [10], then (If (Not (Either [5] or (Either [6] or [7].).).), then [9].).
[10]
Therefore, If (Not (Either [5] or (Either [6] or [7].).).), then [9]..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (Not [1].).
If (If [3], then [4].), then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Disjunctive Syllogism:
Either [8] or (If (If [3], then [4].), then (Not [1].).).
Not [8].
Therefore, If (If [3], then [4].), then (Not [1].)..
|
{0: 'Accounting is ingrained in our society and vital to our economic system.', 1: 'Some spiders possess lungs.', 2: 'Lie is an intransitive verb, and lay is a transitive verb.', 3: 'Tetrahymena has (part) plasma membranes.', 4: 'Some talons are part of swans.', 5: 'Syllables are the segmental units of spoken words which are sequences of one or more phonemes.', 6: 'Coastal ecosystems are one of the richest locations of marine biodiversity.', 7: 'Caribou are unique among deer in that both male and female have antlers.', 8: 'Cholesterol is a fat-like substance found in all animal cells, human and otherwise.', 9: "Rainbows are the predominant species found in southern Alberta's trout streams.", 10: 'Echidnas have sharp claws.'}
| 6 |
5,352 |
['Once we know some babies leave environments, we also know that gigabytes are the current largest measurement being used on computers.', 'Given that we know that the claim that some babies leave environments is false, it can be inferred that if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable.', 'It is a simple truth that some gyroscopes are part of submarines.', "On the condition that foxes are very social creatures that live in packs, it is definitely the case that if some gyroscopes are part of submarines, then the statement 'if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable' can be considered false.", "Given that copper is a heavy metal which accumulates in the sediment and remains forever toxic, it can be inferred that if some gyroscopes are part of submarines, then the statement 'if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable' can be considered false.", 'We know that either harassment is unwanted, deliberate comments, gestures, graphic materials or physical contacts or either foxes are very social creatures that live in packs or copper is a heavy metal which accumulates in the sediment and remains forever toxic.', 'When if planets move within the zodiac, then bushbabies live in little holes in trees just like squirrels is true, it follows that the statement, harassment is unwanted, deliberate comments, gestures, graphic materials or physical contacts, does not hold.', 'Once we know planets move within the zodiac, we also know that bushbabies live in little holes in trees just like squirrels.']
|
Once we know some babies leave environments, we also know that gigabytes are the current largest measurement being used on computers. Given that we know that the claim that some babies leave environments is false, it can be inferred that if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable. It is a simple truth that some gyroscopes are part of submarines. On the condition that foxes are very social creatures that live in packs, it is definitely the case that if some gyroscopes are part of submarines, then the statement 'if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable' can be considered false. Given that copper is a heavy metal which accumulates in the sediment and remains forever toxic, it can be inferred that if some gyroscopes are part of submarines, then the statement 'if low wages are more a result of people being under productive rather than underpaid, then most endometrial cancer presents at an early stage and is highly curable' can be considered false. We know that either harassment is unwanted, deliberate comments, gestures, graphic materials or physical contacts or either foxes are very social creatures that live in packs or copper is a heavy metal which accumulates in the sediment and remains forever toxic. When if planets move within the zodiac, then bushbabies live in little holes in trees just like squirrels is true, it follows that the statement, harassment is unwanted, deliberate comments, gestures, graphic materials or physical contacts, does not hold. Once we know planets move within the zodiac, we also know that bushbabies live in little holes in trees just like squirrels.
|
It is true that gigabytes are the current largest measurement being used on computers.
|
It is true that gigabytes are the current largest measurement being used on computers.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If [4], then (Not (If [2], then [3].).). [SC1-3]
[4]
Therefore, Not (If [2], then [3].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (If [4], then (Not (If [2], then [3].).).).
If [6], then (If [4], then (Not (If [2], then [3].).).).
Therefore, If [4], then (Not (If [2], then [3].).)..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].).
Not [7]. [SC2-5]
Therefore, Either [5] or [6]..
[SC2-5]
Modus Ponens:
If (If [8], then [9].), then (Not [7].).
If [8], then [9].
Therefore, Not [7]..
|
{0: 'Gigabytes are the current largest measurement being used on computers.', 1: 'Some babies leave environments.', 2: 'Low wages are more a result of people being under productive rather than underpaid.', 3: 'Most endometrial cancer presents at an early stage and is highly curable.', 4: 'Some gyroscopes are part of submarines.', 5: 'Foxes are very social creatures that live in packs.', 6: 'Copper is a heavy metal which accumulates in the sediment and remains forever toxic.', 7: 'Harassment is unwanted, deliberate comments, gestures, graphic materials or physical contacts.', 8: 'Planets move within the zodiac.', 9: 'Bushbabies live in little holes in trees just like squirrels.'}
| 6 |
5,857 |
['Provided that attention plays an important role in the management and control of information processing, we know that if horsehair isa material, then solute isa matter.', 'Those that suggest candidates have (part) cells are wrong.', 'Should it be the case that the claim that either family planning is the primary intervention along the pathway in reduction of unwanted pregnancies or attention plays an important role in the management and control of information processing does not correspond with reality, it follows that geriatric patients do often suffer from several diseases and use many different medicines.', 'One may reasonably assume that if the claim that either family planning is the primary intervention along the pathway in reduction of unwanted pregnancies or attention plays an important role in the management and control of information processing does not correspond with reality, then the statement that states geriatric patients do often suffer from several diseases and use many different medicines is false.', 'There is good reason to believe that either most vegetarians rely heavily on whole grains, fruits, and vegetables and avoid red meat or if family planning is the primary intervention along the pathway in reduction of unwanted pregnancies, then if horsehair isa material, then solute isa matter.', "The statement that 'most vegetarians rely heavily on whole grains, fruits, and vegetables and avoid red meat' is incorrect.", 'It is rational to believe that either henry claims that the greatest sin in the world takes place in the brain or marital breakdown is an event that causes housing difficulties for many families.', 'Given that henry claims that the greatest sin in the world takes place in the brain, it can be inferred that if it is not the case that horsehair isa material, then candidates have (part) cells.', 'When marital breakdown is an event that causes housing difficulties for many families is true, it follows that if it is not the case that horsehair isa material, then candidates have (part) cells.']
|
Provided that attention plays an important role in the management and control of information processing, we know that if horsehair isa material, then solute isa matter. Those that suggest candidates have (part) cells are wrong. Should it be the case that the claim that either family planning is the primary intervention along the pathway in reduction of unwanted pregnancies or attention plays an important role in the management and control of information processing does not correspond with reality, it follows that geriatric patients do often suffer from several diseases and use many different medicines. One may reasonably assume that if the claim that either family planning is the primary intervention along the pathway in reduction of unwanted pregnancies or attention plays an important role in the management and control of information processing does not correspond with reality, then the statement that states geriatric patients do often suffer from several diseases and use many different medicines is false. There is good reason to believe that either most vegetarians rely heavily on whole grains, fruits, and vegetables and avoid red meat or if family planning is the primary intervention along the pathway in reduction of unwanted pregnancies, then if horsehair isa material, then solute isa matter. The statement that 'most vegetarians rely heavily on whole grains, fruits, and vegetables and avoid red meat' is incorrect. It is rational to believe that either henry claims that the greatest sin in the world takes place in the brain or marital breakdown is an event that causes housing difficulties for many families. Given that henry claims that the greatest sin in the world takes place in the brain, it can be inferred that if it is not the case that horsehair isa material, then candidates have (part) cells. When marital breakdown is an event that causes housing difficulties for many families is true, it follows that if it is not the case that horsehair isa material, then candidates have (part) cells.
|
It is reasonable to believe that solute isa matter.
|
The statement 'solute isa matter' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [1], then [0].). [SC2-2]
If [4], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [8].
If (Not (Either [3] or [4].).), then (Not [8].).
Therefore, Either [3] or [4]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [3], then (If [1], then [0].).).
Not [5].
Therefore, If [3], then (If [1], then [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not [1].), then [2].).
If [7], then (If (Not [1].), then [2].).
Therefore, If (Not [1].), then [2]..
|
{0: 'Solute isa matter.', 1: 'Horsehair isa material.', 2: 'Candidates have (part) cells.', 3: 'Family planning is the primary intervention along the pathway in reduction of unwanted pregnancies.', 4: 'Attention plays an important role in the management and control of information processing.', 5: 'Most vegetarians rely heavily on whole grains, fruits, and vegetables and avoid red meat.', 6: 'Henry claims that the greatest sin in the world takes place in the brain.', 7: 'Marital breakdown is an event that causes housing difficulties for many families.', 8: 'Geriatric patients do often suffer from several diseases and use many different medicines.'}
| 6 |
5,766 |
["Given that the statement that 'either if search engines are basically searchable databases of site information gathered from the web, then ferrets also like variety, they get bored easily or cat fleas survive for weeks' is incorrect, it can be inferred that either depression is an illness that can change the very core of our being or consensual marketing based on notice and consent is what consumers expect business to provide.", 'Provided that some ladybugs cause symptoms, we know that the claim that either depression is an illness that can change the very core of our being or consensual marketing based on notice and consent is what consumers expect business to provide has no merit.', 'It is reasonable to believe that some ladybugs cause symptoms.', "Given that the notion that 'if meristematic tissues are sites of cellular activity and division, then the claim that if search engines are basically searchable databases of site information gathered from the web, then ferrets also like variety, they get bored easily has no merit' is untrue, it can be inferred that if carbohydrates provide fuel for peak performance, then llamas eat mainly grass, shrubs, and lichens.", "The statement that 'if carbohydrates provide fuel for peak performance, then llamas eat mainly grass, shrubs, and lichens' is incorrect.", 'At least one of two things is true: molds grow over many surfaces, such as wood and food, and thrive best in warm and moist conditions, or meristematic tissues are sites of cellular activity and division.', 'Some people mistakenly believe that molds grow over many surfaces, such as wood and food, and thrive best in warm and moist conditions.']
|
Given that the statement that 'either if search engines are basically searchable databases of site information gathered from the web, then ferrets also like variety, they get bored easily or cat fleas survive for weeks' is incorrect, it can be inferred that either depression is an illness that can change the very core of our being or consensual marketing based on notice and consent is what consumers expect business to provide. Provided that some ladybugs cause symptoms, we know that the claim that either depression is an illness that can change the very core of our being or consensual marketing based on notice and consent is what consumers expect business to provide has no merit. It is reasonable to believe that some ladybugs cause symptoms. Given that the notion that 'if meristematic tissues are sites of cellular activity and division, then the claim that if search engines are basically searchable databases of site information gathered from the web, then ferrets also like variety, they get bored easily has no merit' is untrue, it can be inferred that if carbohydrates provide fuel for peak performance, then llamas eat mainly grass, shrubs, and lichens. The statement that 'if carbohydrates provide fuel for peak performance, then llamas eat mainly grass, shrubs, and lichens' is incorrect. At least one of two things is true: molds grow over many surfaces, such as wood and food, and thrive best in warm and moist conditions, or meristematic tissues are sites of cellular activity and division. Some people mistakenly believe that molds grow over many surfaces, such as wood and food, and thrive best in warm and moist conditions.
|
It is true that cat fleas survive for weeks.
|
It is true that cat fleas survive for weeks.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or [0].).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, Either (If [1], then [2].) or [0]..
[SC2-2]
Modus Ponens:
If [9], then (Not (Either [3] or [4].).).
[9]
Therefore, Not (Either [3] or [4].)..
[SC2-1]
Modus Ponens:
If [5], then (Not (If [1], then [2].).). [SC1-2]
[5] [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Tonens:
If (Not (If [5], then (Not (If [1], then [2].).).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [5], then (Not (If [1], then [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
|
{0: 'Cat fleas survive for weeks.', 1: 'Search engines are basically searchable databases of site information gathered from the web.', 2: 'Ferrets also like variety, they get bored easily.', 3: 'Depression is an illness that can change the very core of our being.', 4: 'Consensual marketing based on notice and consent is what consumers expect business to provide.', 5: 'Meristematic tissues are sites of cellular activity and division.', 6: 'Molds grow over many surfaces, such as wood and food, and thrive best in warm and moist conditions.', 7: 'Carbohydrates provide fuel for peak performance.', 8: 'Llamas eat mainly grass, shrubs, and lichens.', 9: 'Some ladybugs cause symptoms.'}
| 6 |
5,039 |
["So long as the statement, chaps have (part) vacuoles, does not hold, 'armoatic essences are oily, fragrant substances which are fomulated in a variety of ways' is true.", 'Given that it is not the case that if the statement, chaps have (part) vacuoles, does not hold, then the statement, old men are magazines, does not hold, it can be inferred that most nutrients lead to health.', 'The statement that states most nutrients lead to health is false.', 'One may reasonably assume that if most adult insects have compound eyes, then if armoatic essences are oily, fragrant substances which are fomulated in a variety of ways, then old men are magazines.', 'Should it be the case that root hairs are epidermal cell extensions that increase absorptive surface area, it follows that if armoatic essences are oily, fragrant substances which are fomulated in a variety of ways, then old men are magazines.', "Given that it is not the case that either most adult insects have compound eyes or root hairs are epidermal cell extensions that increase absorptive surface area, it can be inferred that those that suggest if cassie is the smallest and youngest of the dragons, then exercise appears to reduce some people's stress levels when regularly practiced are wrong.", 'Given that it is not the case that either most adult insects have compound eyes or root hairs are epidermal cell extensions that increase absorptive surface area, it can be inferred that equivalent weight is mass.', "Should it be the case that equivalent weight is mass, it follows that if cassie is the smallest and youngest of the dragons, then exercise appears to reduce some people's stress levels when regularly practiced."]
|
So long as the statement, chaps have (part) vacuoles, does not hold, 'armoatic essences are oily, fragrant substances which are fomulated in a variety of ways' is true. Given that it is not the case that if the statement, chaps have (part) vacuoles, does not hold, then the statement, old men are magazines, does not hold, it can be inferred that most nutrients lead to health. The statement that states most nutrients lead to health is false. One may reasonably assume that if most adult insects have compound eyes, then if armoatic essences are oily, fragrant substances which are fomulated in a variety of ways, then old men are magazines. Should it be the case that root hairs are epidermal cell extensions that increase absorptive surface area, it follows that if armoatic essences are oily, fragrant substances which are fomulated in a variety of ways, then old men are magazines. Given that it is not the case that either most adult insects have compound eyes or root hairs are epidermal cell extensions that increase absorptive surface area, it can be inferred that those that suggest if cassie is the smallest and youngest of the dragons, then exercise appears to reduce some people's stress levels when regularly practiced are wrong. Given that it is not the case that either most adult insects have compound eyes or root hairs are epidermal cell extensions that increase absorptive surface area, it can be inferred that equivalent weight is mass. Should it be the case that equivalent weight is mass, it follows that if cassie is the smallest and youngest of the dragons, then exercise appears to reduce some people's stress levels when regularly practiced.
|
chaps have (part) vacuoles.
|
It is not true that chaps have (part) vacuoles.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If [2], then [1].).
If [5], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (If [6], then [7].). [SC1-4]
If (Not (Either [4] or [5].).), then (Not (If [6], then [7].).).
Therefore, Either [4] or [5]..
[SC1-4]
Hypothetical Syllogism:
If (Not (Either [4] or [5].).), then [8].
If [8], then (If [6], then [7].).
Therefore, If (Not (Either [4] or [5].).), then (If [6], then [7].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3].
Not [3].
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Chaps have (part) vacuoles.', 1: 'Old men are magazines.', 2: 'Armoatic essences are oily, fragrant substances which are fomulated in a variety of ways.', 3: 'Most nutrients lead to health.', 4: 'Most adult insects have compound eyes.', 5: 'Root hairs are epidermal cell extensions that increase absorptive surface area.', 6: 'Cassie is the smallest and youngest of the dragons.', 7: "Exercise appears to reduce some people's stress levels when regularly practiced.", 8: 'Equivalent weight is mass.'}
| 6 |
5,852 |
['Should it be the case that most carolina wrens have bills, it follows that either diamonds are located in drill bits or some tulips grow in meadows.', 'It is the case that most carolina wrens have bills.', 'One may reasonably assume that if some plants grow with compost, then if diamonds are located in drill bits, then mangrove forests are important as they stabilise the shoreline, and protect it from storms.', 'some plants grow with compost.', 'Once we know some people mistakenly believe that if some tulips grow in meadows, then mangrove forests are important as they stabilise the shoreline, and protect it from storms, we also know that gray whales have one of the longest migrations of any mammal.', 'It is a fact that either eSTs are partial sequences derived from the mRNA of a specific tissue or either clarity is a fundamental perfection of thinking and a crucial aim of critical thinking or most elephants has-part noses.', 'Provided that eSTs are partial sequences derived from the mRNA of a specific tissue, we know that the statement, gray whales have one of the longest migrations of any mammal, does not hold.', 'Either one or both of these statements are true: stones are everywhere, or if either clarity is a fundamental perfection of thinking and a crucial aim of critical thinking or most elephants has-part noses, then the statement, gray whales have one of the longest migrations of any mammal, does not hold.', 'The claim that stones are everywhere does not reflect reality.']
|
Should it be the case that most carolina wrens have bills, it follows that either diamonds are located in drill bits or some tulips grow in meadows. It is the case that most carolina wrens have bills. One may reasonably assume that if some plants grow with compost, then if diamonds are located in drill bits, then mangrove forests are important as they stabilise the shoreline, and protect it from storms. some plants grow with compost. Once we know some people mistakenly believe that if some tulips grow in meadows, then mangrove forests are important as they stabilise the shoreline, and protect it from storms, we also know that gray whales have one of the longest migrations of any mammal. It is a fact that either eSTs are partial sequences derived from the mRNA of a specific tissue or either clarity is a fundamental perfection of thinking and a crucial aim of critical thinking or most elephants has-part noses. Provided that eSTs are partial sequences derived from the mRNA of a specific tissue, we know that the statement, gray whales have one of the longest migrations of any mammal, does not hold. Either one or both of these statements are true: stones are everywhere, or if either clarity is a fundamental perfection of thinking and a crucial aim of critical thinking or most elephants has-part noses, then the statement, gray whales have one of the longest migrations of any mammal, does not hold. The claim that stones are everywhere does not reflect reality.
|
It is reasonable to believe that mangrove forests are important as they stabilise the shoreline, and protect it from storms.
|
It is reasonable to believe that mangrove forests are important as they stabilise the shoreline, and protect it from storms.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [2].).
[3]
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].).
[4]
Therefore, If [1], then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [5].
Not [5]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (Not [5].).
If (Either [7] or [8].), then (Not [5].). [SC3-3]
Therefore, Not [5]..
[SC3-3]
Disjunctive Syllogism:
Either [9] or (If (Either [7] or [8].), then (Not [5].).).
Not [9].
Therefore, If (Either [7] or [8].), then (Not [5].)..
|
{0: 'Mangrove forests are important as they stabilise the shoreline, and protect it from storms.', 1: 'Diamonds are located in drill bits.', 2: 'Some tulips grow in meadows.', 3: 'Most carolina wrens have bills.', 4: 'Some plants grow with compost.', 5: 'Gray whales have one of the longest migrations of any mammal.', 6: 'ESTs are partial sequences derived from the mRNA of a specific tissue.', 7: 'Clarity is a fundamental perfection of thinking and a crucial aim of critical thinking.', 8: 'Most elephants has-part noses.', 9: 'Stones are everywhere.'}
| 6 |
5,875 |
['The statement that states most snakes use blunt tails is false.', "So long as ectoparasites quickly die in the absence of bats, 'either spores are disseminated via wind, splashing rain, insects and irrigation or opening nights are located in theaters' is true.", 'If if rainforests are essential to life itself, then cerebellar disorders cause abnormalities in the range, rate, and force of movement, then either spores are disseminated via wind, splashing rain, insects and irrigation or opening nights are located in theaters.', 'At least one of two things is true: barnacles are marine animals that live in both shallow and tidal waters, or proteins induce immune responses.', 'One may reasonably assume that if barnacles are marine animals that live in both shallow and tidal waters, then if spores are disseminated via wind, splashing rain, insects and irrigation, then most snakes use blunt tails.', "Whenever it is true that proteins induce immune responses, 'if spores are disseminated via wind, splashing rain, insects and irrigation, then most snakes use blunt tails' is true.", 'If the statement, if opening nights are located in theaters, then the claim that some sea snails breathe use gills does not correspond with reality, does not hold, then insoluble fiber is found in whole grains and vegetables and helps maintain regularity.', 'The claim that insoluble fiber is found in whole grains and vegetables and helps maintain regularity has no merit.', "So long as if many women are unaware they are pregnant until the second month, then most ailments are preventable simply from taking proper care of the animal, 'either ectoparasites quickly die in the absence of bats or if rainforests are essential to life itself, then cerebellar disorders cause abnormalities in the range, rate, and force of movement' is true.", 'Given that many women are unaware they are pregnant until the second month, it can be inferred that most ailments are preventable simply from taking proper care of the animal.']
|
The statement that states most snakes use blunt tails is false. So long as ectoparasites quickly die in the absence of bats, 'either spores are disseminated via wind, splashing rain, insects and irrigation or opening nights are located in theaters' is true. If if rainforests are essential to life itself, then cerebellar disorders cause abnormalities in the range, rate, and force of movement, then either spores are disseminated via wind, splashing rain, insects and irrigation or opening nights are located in theaters. At least one of two things is true: barnacles are marine animals that live in both shallow and tidal waters, or proteins induce immune responses. One may reasonably assume that if barnacles are marine animals that live in both shallow and tidal waters, then if spores are disseminated via wind, splashing rain, insects and irrigation, then most snakes use blunt tails. Whenever it is true that proteins induce immune responses, 'if spores are disseminated via wind, splashing rain, insects and irrigation, then most snakes use blunt tails' is true. If the statement, if opening nights are located in theaters, then the claim that some sea snails breathe use gills does not correspond with reality, does not hold, then insoluble fiber is found in whole grains and vegetables and helps maintain regularity. The claim that insoluble fiber is found in whole grains and vegetables and helps maintain regularity has no merit. So long as if many women are unaware they are pregnant until the second month, then most ailments are preventable simply from taking proper care of the animal, 'either ectoparasites quickly die in the absence of bats or if rainforests are essential to life itself, then cerebellar disorders cause abnormalities in the range, rate, and force of movement' is true. Given that many women are unaware they are pregnant until the second month, it can be inferred that most ailments are preventable simply from taking proper care of the animal.
|
The claim that some sea snails breathe use gills does not correspond with reality.
|
The claim that some sea snails breathe use gills does not correspond with reality.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then (Not [0].). [SC3-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (Either [2] or [3].).
If (If [6], then [7].), then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If (If [10], then [11].), then (Either [5] or (If [6], then [7].).).
If [10], then [11].
Therefore, Either [5] or (If [6], then [7].)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [2], then [1].).
If [9], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (Not [0].).).), then [4].
Not [4].
Therefore, If [3], then (Not [0].)..
|
{0: 'Some sea snails breathe use gills.', 1: 'Most snakes use blunt tails.', 2: 'Spores are disseminated via wind, splashing rain, insects and irrigation.', 3: 'Opening nights are located in theaters.', 4: 'Insoluble fiber is found in whole grains and vegetables and helps maintain regularity.', 5: 'Ectoparasites quickly die in the absence of bats.', 6: 'Rainforests are essential to life itself.', 7: 'Cerebellar disorders cause abnormalities in the range, rate, and force of movement.', 8: 'Barnacles are marine animals that live in both shallow and tidal waters.', 9: 'Proteins induce immune responses.', 10: 'Many women are unaware they are pregnant until the second month.', 11: 'Most ailments are preventable simply from taking proper care of the animal.'}
| 6 |
5,156 |
["When the claim that if we know that the claim that color is used for things other than page back ground is false, then the notion that 'smokers are four times more likely to have gum disease than nonsmokers are' is untrue has no merit is true, it follows that diatoms are usually golden-brown in color and contain chlorophylls a and c, and xanthophyll.", "So long as the claim that if we know that the claim that color is used for things other than page back ground is false, then the notion that 'smokers are four times more likely to have gum disease than nonsmokers are' is untrue has no merit, 'we know that the claim that diatoms are usually golden-brown in color and contain chlorophylls a and c, and xanthophyll is false' is true.", 'Those that suggest many people develop a taste or smell disorder as a result of an injury or illness are wrong.', "Given that most herbivores prefer gardens, it can be inferred that if the claim that if we know that the claim that color is used for things other than page back ground is false, then smokers are four times more likely to have gum disease than nonsmokers are does not correspond with reality, then the notion that 'emirates are states' is untrue.", 'The statement that states most herbivores prefer gardens is right.', "Either extensive glaciers are found in Antarctica , Chile, Canada, Alaska , Greenland and Iceland or if the statement that 'if the claim that if we know that the claim that color is used for things other than page back ground is false, then smokers are four times more likely to have gum disease than nonsmokers are does not correspond with reality, then emirates are states' is incorrect, then many people develop a taste or smell disorder as a result of an injury or illness.", 'It is not true that extensive glaciers are found in Antarctica , Chile, Canada, Alaska , Greenland and Iceland .']
|
When the claim that if we know that the claim that color is used for things other than page back ground is false, then the notion that 'smokers are four times more likely to have gum disease than nonsmokers are' is untrue has no merit is true, it follows that diatoms are usually golden-brown in color and contain chlorophylls a and c, and xanthophyll. So long as the claim that if we know that the claim that color is used for things other than page back ground is false, then the notion that 'smokers are four times more likely to have gum disease than nonsmokers are' is untrue has no merit, 'we know that the claim that diatoms are usually golden-brown in color and contain chlorophylls a and c, and xanthophyll is false' is true. Those that suggest many people develop a taste or smell disorder as a result of an injury or illness are wrong. Given that most herbivores prefer gardens, it can be inferred that if the claim that if we know that the claim that color is used for things other than page back ground is false, then smokers are four times more likely to have gum disease than nonsmokers are does not correspond with reality, then the notion that 'emirates are states' is untrue. The statement that states most herbivores prefer gardens is right. Either extensive glaciers are found in Antarctica , Chile, Canada, Alaska , Greenland and Iceland or if the statement that 'if the claim that if we know that the claim that color is used for things other than page back ground is false, then smokers are four times more likely to have gum disease than nonsmokers are does not correspond with reality, then emirates are states' is incorrect, then many people develop a taste or smell disorder as a result of an injury or illness. It is not true that extensive glaciers are found in Antarctica , Chile, Canada, Alaska , Greenland and Iceland .
|
Those that suggest color is used for things other than page back ground are right.
|
Those that suggest color is used for things other than page back ground are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [3]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [5]. [SC1-3]
Not [5].
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [5].).
Not [6].
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then [5]..
[SC2-2]
Modus Ponens:
If [4], then (If (Not (If (Not [0].), then [1].).), then (Not [3].).).
[4]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [3].)..
[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: 'Color is used for things other than page back ground.', 1: 'Smokers are four times more likely to have gum disease than nonsmokers are.', 2: 'Diatoms are usually golden-brown in color and contain chlorophylls a and c, and xanthophyll.', 3: 'Emirates are states.', 4: 'Most herbivores prefer gardens.', 5: 'Many people develop a taste or smell disorder as a result of an injury or illness.', 6: 'Extensive glaciers are found in Antarctica , Chile, Canada, Alaska , Greenland and Iceland .'}
| 6 |
5,222 |
['It is reasonable to believe that biochemistry is the study of the structures and chemical reactions found in living systems.', 'There is good reason to believe that either mineral waters can be cold or hot, but their mineral composition is essential or either ammonia is added to reduce chlorine-like tastes and to maintain the chlorine in the water or some midges range in size.', 'We know that the claim that mineral waters can be cold or hot, but their mineral composition is essential is false.', 'It is a fact that either blues rocks are rock music or if ammonia is added to reduce chlorine-like tastes and to maintain the chlorine in the water, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false.', 'The statement, blues rocks are rock music, does not hold.', 'Many people rightly believe that oar boats are smaller than motor boats and can accommodate four to five people.', 'Should it be the case that the statement, if oar boats are smaller than motor boats and can accommodate four to five people, then if some midges range in size, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false, does not hold, it follows that either ozone is a caustic substance that is the prime ingredient in smog or multimedia is a new category of software combining video, sound, and graphics.', 'Assuming the statement, if oar boats are smaller than motor boats and can accommodate four to five people, then if some midges range in size, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false, does not hold, we know that it is a common misconception that either ozone is a caustic substance that is the prime ingredient in smog or multimedia is a new category of software combining video, sound, and graphics.']
|
It is reasonable to believe that biochemistry is the study of the structures and chemical reactions found in living systems. There is good reason to believe that either mineral waters can be cold or hot, but their mineral composition is essential or either ammonia is added to reduce chlorine-like tastes and to maintain the chlorine in the water or some midges range in size. We know that the claim that mineral waters can be cold or hot, but their mineral composition is essential is false. It is a fact that either blues rocks are rock music or if ammonia is added to reduce chlorine-like tastes and to maintain the chlorine in the water, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false. The statement, blues rocks are rock music, does not hold. Many people rightly believe that oar boats are smaller than motor boats and can accommodate four to five people. Should it be the case that the statement, if oar boats are smaller than motor boats and can accommodate four to five people, then if some midges range in size, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false, does not hold, it follows that either ozone is a caustic substance that is the prime ingredient in smog or multimedia is a new category of software combining video, sound, and graphics. Assuming the statement, if oar boats are smaller than motor boats and can accommodate four to five people, then if some midges range in size, then if biochemistry is the study of the structures and chemical reactions found in living systems, then the claim that drug use harms people of every economic class is false, does not hold, we know that it is a common misconception that either ozone is a caustic substance that is the prime ingredient in smog or multimedia is a new category of software combining video, sound, and graphics.
|
The claim that drug use harms people of every economic class is false.
|
The idea that drug use harms people of every economic class is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then (Not [0].).). [SC2-2]
If [3], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or [3].).
Not [5].
Therefore, Either [2] or [3]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [2], then (If [1], then (Not [0].).).).
Not [4].
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC3-2]
Modus Ponens:
If [6], then (If [3], then (If [1], then (Not [0].).).). [SC1-3]
[6]
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If [3], then (If [1], then (Not [0].).).).).), then (Either [7] or [8].).
If (Not (If [6], then (If [3], then (If [1], then (Not [0].).).).).), then (Not (Either [7] or [8].).).
Therefore, If [6], then (If [3], then (If [1], then (Not [0].).).)..
|
{0: 'Drug use harms people of every economic class.', 1: 'Biochemistry is the study of the structures and chemical reactions found in living systems.', 2: 'Ammonia is added to reduce chlorine-like tastes and to maintain the chlorine in the water.', 3: 'Some midges range in size.', 4: 'Blues rocks are rock music.', 5: 'Mineral waters can be cold or hot, but their mineral composition is essential.', 6: 'Oar boats are smaller than motor boats and can accommodate four to five people.', 7: 'Ozone is a caustic substance that is the prime ingredient in smog.', 8: 'Multimedia is a new category of software combining video, sound, and graphics.'}
| 6 |
5,641 |
["Should it be the case that those that suggest if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then the claim that plates collide and form large mountain chains has no merit are wrong, it follows that those that suggest either health implies both physical, mental, and social well-being, and it is a resource for living or propane can also result in tailpipe emission benefits similar to a compressed natural gas are wrong.", 'We know that either if some breeders sell ponies, then a letter carrier is an employee or cerebral thrombosis is the most common type of stroke.', 'On the condition that if some breeders sell ponies, then a letter carrier is an employee, it is definitely the case that hello isa greeting.', "Assuming cerebral thrombosis is the most common type of stroke, we know that if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then plates collide and form large mountain chains.", 'We know that at least one of two things is true: carcinoids are of low grade malignancy and have no relationship to cigarette smoking, or most skin contains receptors.', 'Assuming carcinoids are of low grade malignancy and have no relationship to cigarette smoking, we know that it is a common misconception that hello isa greeting.', 'Should it be the case that most skin contains receptors, it follows that it is a common misconception that hello isa greeting.', "Should it be the case that those that suggest if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then the claim that plates collide and form large mountain chains has no merit are wrong, it follows that either price discovery focuses on the price at which individual transactions occur or video surveillance provides insight.", 'Once we know either price discovery focuses on the price at which individual transactions occur or video surveillance provides insight, we also know that either health implies both physical, mental, and social well-being, and it is a resource for living or propane can also result in tailpipe emission benefits similar to a compressed natural gas.']
|
Should it be the case that those that suggest if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then the claim that plates collide and form large mountain chains has no merit are wrong, it follows that those that suggest either health implies both physical, mental, and social well-being, and it is a resource for living or propane can also result in tailpipe emission benefits similar to a compressed natural gas are wrong. We know that either if some breeders sell ponies, then a letter carrier is an employee or cerebral thrombosis is the most common type of stroke. On the condition that if some breeders sell ponies, then a letter carrier is an employee, it is definitely the case that hello isa greeting. Assuming cerebral thrombosis is the most common type of stroke, we know that if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then plates collide and form large mountain chains. We know that at least one of two things is true: carcinoids are of low grade malignancy and have no relationship to cigarette smoking, or most skin contains receptors. Assuming carcinoids are of low grade malignancy and have no relationship to cigarette smoking, we know that it is a common misconception that hello isa greeting. Should it be the case that most skin contains receptors, it follows that it is a common misconception that hello isa greeting. Should it be the case that those that suggest if the statement that 'alcohol contains almost twice the calories as carbohydrates and proteins' is incorrect, then the claim that plates collide and form large mountain chains has no merit are wrong, it follows that either price discovery focuses on the price at which individual transactions occur or video surveillance provides insight. Once we know either price discovery focuses on the price at which individual transactions occur or video surveillance provides insight, we also know that either health implies both physical, mental, and social well-being, and it is a resource for living or propane can also result in tailpipe emission benefits similar to a compressed natural gas.
|
alcohol contains almost twice the calories as carbohydrates and proteins.
|
It is a common misconception that alcohol contains almost twice the calories as carbohydrates and proteins.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (Not [0].), then [1].). [SC1-2]
Not [4]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Constructive Dilemma:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then [4].
If [11], then (If (Not [0].), then [1].).
Therefore, Either [4] or (If (Not [0].), then [1].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].). [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not (Either [2] or [3].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then (Either [7] or [8].).
If (Either [7] or [8].), then (Either [2] or [3].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].)..
|
{0: 'Alcohol contains almost twice the calories as carbohydrates and proteins.', 1: 'Plates collide and form large mountain chains.', 2: 'Health implies both physical, mental, and social well-being, and it is a resource for living.', 3: 'Propane can also result in tailpipe emission benefits similar to a compressed natural gas.', 4: 'Hello isa greeting.', 5: 'Carcinoids are of low grade malignancy and have no relationship to cigarette smoking.', 6: 'Most skin contains receptors.', 7: 'Price discovery focuses on the price at which individual transactions occur.', 8: 'Video surveillance provides insight.', 9: 'Some breeders sell ponies.', 10: 'A letter carrier is an employee.', 11: 'Cerebral thrombosis is the most common type of stroke.'}
| 6 |
5,210 |
['There is good reason to believe that either either wild animals have body length or selenium is a plant essential nutrient or profitable cultivation is at the expense of humane animal husbandry and ecosystems.', "So long as either wild animals have body length or selenium is a plant essential nutrient, 'if alcohol is also high in calories, then some people mistakenly believe that angiosperms live in all terrestrial and aquatic habitats on earth' is true.", 'The idea that lasers work by emitting light at various wavelengths is true.', 'Either one or both of these statements are true: utopians measure their months by the lunar cycle, and their years by the solar cycle, or if profitable cultivation is at the expense of humane animal husbandry and ecosystems, then if alcohol is also high in calories, then some people mistakenly believe that angiosperms live in all terrestrial and aquatic habitats on earth.', "So long as most fireweeds grow in patches, 'if lasers work by emitting light at various wavelengths, then alcohol is also high in calories' is true.", 'Those that suggest most fireweeds grow in patches are right.', "So long as utopians measure their months by the lunar cycle, and their years by the solar cycle, 'most culture has different values' is true.", 'Should it be the case that utopians measure their months by the lunar cycle, and their years by the solar cycle, it follows that it is not the case that most culture has different values.']
|
There is good reason to believe that either either wild animals have body length or selenium is a plant essential nutrient or profitable cultivation is at the expense of humane animal husbandry and ecosystems. So long as either wild animals have body length or selenium is a plant essential nutrient, 'if alcohol is also high in calories, then some people mistakenly believe that angiosperms live in all terrestrial and aquatic habitats on earth' is true. The idea that lasers work by emitting light at various wavelengths is true. Either one or both of these statements are true: utopians measure their months by the lunar cycle, and their years by the solar cycle, or if profitable cultivation is at the expense of humane animal husbandry and ecosystems, then if alcohol is also high in calories, then some people mistakenly believe that angiosperms live in all terrestrial and aquatic habitats on earth. So long as most fireweeds grow in patches, 'if lasers work by emitting light at various wavelengths, then alcohol is also high in calories' is true. Those that suggest most fireweeds grow in patches are right. So long as utopians measure their months by the lunar cycle, and their years by the solar cycle, 'most culture has different values' is true. Should it be the case that utopians measure their months by the lunar cycle, and their years by the solar cycle, it follows that it is not the case that most culture has different values.
|
Some people mistakenly believe that angiosperms live in all terrestrial and aquatic habitats on earth.
|
Some people mistakenly believe that angiosperms have (part) stamens.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If [5], then (If [1], then (Not [0].).).).
Not [6]. [SC2-3]
Therefore, If [5], then (If [1], then (Not [0].).)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [8].
If [6], then (Not [8].).
Therefore, Not [6]..
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [7], then (If [2], then [1].).
[7]
Therefore, If [2], then [1]..
|
{0: 'Angiosperms live in all terrestrial and aquatic habitats on earth.', 1: 'Alcohol is also high in calories.', 2: 'Lasers work by emitting light at various wavelengths.', 3: 'Wild animals have body length.', 4: 'Selenium is a plant essential nutrient.', 5: 'Profitable cultivation is at the expense of humane animal husbandry and ecosystems.', 6: 'Utopians measure their months by the lunar cycle, and their years by the solar cycle.', 7: 'Most fireweeds grow in patches.', 8: 'Most culture has different values.'}
| 6 |
5,746 |
['At least one of two things is true: either lions are opportunists when it comes to feeding or termites have acute survival instincts, or either birds declare their territory by singing or a string quartet is a musical group.', 'Provided that either lions are opportunists when it comes to feeding or termites have acute survival instincts, we know that if melanin provides protection, then alcohol is absorbed into the blood stream faster when it has a carbonated base.', 'Assuming either birds declare their territory by singing or a string quartet is a musical group, we know that if melanin provides protection, then alcohol is absorbed into the blood stream faster when it has a carbonated base.', 'Once we know alcohol is absorbed into the blood stream faster when it has a carbonated base, we also know that most excretion depends on diets.', 'Provided that alcohol is absorbed into the blood stream faster when it has a carbonated base, we know that societies worldwide have faith in invisible, holy beings that affect human life on Earth.', 'One may reasonably assume that if societies worldwide have faith in invisible, holy beings that affect human life on Earth, then cattle have eyes.', "So long as the claim that if cattle have eyes, then the statement that 'most excretion depends on diets' is incorrect is false, 'hollies come in separate sexes, so both a male and female plant are needed to produce berries' is true.", 'The claim that hollies come in separate sexes, so both a male and female plant are needed to produce berries has no merit.']
|
At least one of two things is true: either lions are opportunists when it comes to feeding or termites have acute survival instincts, or either birds declare their territory by singing or a string quartet is a musical group. Provided that either lions are opportunists when it comes to feeding or termites have acute survival instincts, we know that if melanin provides protection, then alcohol is absorbed into the blood stream faster when it has a carbonated base. Assuming either birds declare their territory by singing or a string quartet is a musical group, we know that if melanin provides protection, then alcohol is absorbed into the blood stream faster when it has a carbonated base. Once we know alcohol is absorbed into the blood stream faster when it has a carbonated base, we also know that most excretion depends on diets. Provided that alcohol is absorbed into the blood stream faster when it has a carbonated base, we know that societies worldwide have faith in invisible, holy beings that affect human life on Earth. One may reasonably assume that if societies worldwide have faith in invisible, holy beings that affect human life on Earth, then cattle have eyes. So long as the claim that if cattle have eyes, then the statement that 'most excretion depends on diets' is incorrect is false, 'hollies come in separate sexes, so both a male and female plant are needed to produce berries' is true. The claim that hollies come in separate sexes, so both a male and female plant are needed to produce berries has no merit.
|
The statement that 'melanin provides protection' is incorrect.
|
Those that suggest melanin acts as a protective biological shield against ultraviolet radiation are wrong.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or (Either [4] or [5].).
If (Either [2] or [3].), then (If [0], then [1].).
If (Either [4] or [5].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [6].
If [1], then (Not [6].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If [1], then [7]. [SC1-3]
If [7], then (Not [6].). [SC2-3]
Therefore, If [1], then (Not [6].)..
[SC1-3]
Hypothetical Syllogism:
If [1], then [9].
If [9], then [7].
Therefore, If [1], then [7]..
[SC2-3]
Modus Tonens:
If (Not (If [7], then (Not [6].).).), then [8].
Not [8].
Therefore, If [7], then (Not [6].)..
|
{0: 'Melanin provides protection.', 1: 'Alcohol is absorbed into the blood stream faster when it has a carbonated base.', 2: 'Lions are opportunists when it comes to feeding.', 3: 'Termites have acute survival instincts.', 4: 'Birds declare their territory by singing.', 5: 'A string quartet is a musical group.', 6: 'Most excretion depends on diets.', 7: 'Cattle have eyes.', 8: 'Hollies come in separate sexes, so both a male and female plant are needed to produce berries.', 9: 'Societies worldwide have faith in invisible, holy beings that affect human life on Earth.'}
| 6 |
5,960 |
['The claim that most creatures possess cheek teeth does not correspond with reality.', 'At least one of two things is true: falls are the leading cause of injury hospitalizations, both in Washington and nationally, or technological currency is essential in the marketplace.', 'Once we know technological currency is essential in the marketplace, we also know that grow plants accumulate nitrate.', "Provided that some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, we know that the statement that 'most surgical abortions take anywhere from five to fifteen minutes' is incorrect.", 'Either one or both of these statements are true: analyses use procedures, or either manta rays are quiet and peaceful beings that pose no danger to humans or bald eagles eat dead animals.', 'Assuming either manta rays are quiet and peaceful beings that pose no danger to humans or bald eagles eat dead animals, we know that if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes.', 'At least one of two things is true: either office buildings make up the city s bigger buildings or ethernet can go at different speeds, or if women get welfare only if no man is present in the home, then producers are able to make food using the simple substances water and carbon dioxide.', "Whenever it is true that either office buildings make up the city s bigger buildings or ethernet can go at different speeds, 'if analyses use procedures, then if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes' is true.", 'Assuming if most robins migrate intermediate distances, then women develop severe abdominal pain, we know that if if women get welfare only if no man is present in the home, then producers are able to make food using the simple substances water and carbon dioxide, then if analyses use procedures, then if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes.', 'Should it be the case that most robins migrate intermediate distances, it follows that women develop severe abdominal pain.']
|
The claim that most creatures possess cheek teeth does not correspond with reality. At least one of two things is true: falls are the leading cause of injury hospitalizations, both in Washington and nationally, or technological currency is essential in the marketplace. Once we know technological currency is essential in the marketplace, we also know that grow plants accumulate nitrate. Provided that some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, we know that the statement that 'most surgical abortions take anywhere from five to fifteen minutes' is incorrect. Either one or both of these statements are true: analyses use procedures, or either manta rays are quiet and peaceful beings that pose no danger to humans or bald eagles eat dead animals. Assuming either manta rays are quiet and peaceful beings that pose no danger to humans or bald eagles eat dead animals, we know that if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes. At least one of two things is true: either office buildings make up the city s bigger buildings or ethernet can go at different speeds, or if women get welfare only if no man is present in the home, then producers are able to make food using the simple substances water and carbon dioxide. Whenever it is true that either office buildings make up the city s bigger buildings or ethernet can go at different speeds, 'if analyses use procedures, then if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes' is true. Assuming if most robins migrate intermediate distances, then women develop severe abdominal pain, we know that if if women get welfare only if no man is present in the home, then producers are able to make food using the simple substances water and carbon dioxide, then if analyses use procedures, then if some people mistakenly believe that if falls are the leading cause of injury hospitalizations, both in Washington and nationally, then most creatures possess cheek teeth, then most surgical abortions take anywhere from five to fifteen minutes. Should it be the case that most robins migrate intermediate distances, it follows that women develop severe abdominal pain.
|
It is fair to say that grow plants accumulate nitrate.
|
The statement 'grow plants accumulate nitrate' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [0].
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [4]. [SC1-3]
If (Not (If [2], then [1].).), then (Not [4].).
Therefore, If [2], then [1]..
[SC1-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If [2], then [1].).), then [4].). [SC2-4]
If (Either [6] or [7].), then (If (Not (If [2], then [1].).), then [4].).
Therefore, If (Not (If [2], then [1].).), then [4]..
[SC2-4]
Disjunction Elimination:
Either (Either [8] or [9].) or (If [10], then [11].).
If (Either [8] or [9].), then (If [5], then (If (Not (If [2], then [1].).), then [4].).).
If (If [10], then [11].), then (If [5], then (If (Not (If [2], then [1].).), then [4].).). [SC3-5]
Therefore, If [5], then (If (Not (If [2], then [1].).), then [4].)..
[SC3-5]
Modus Ponens:
If (If [12], then [13].), then (If (If [10], then [11].), then (If [5], then (If (Not (If [2], then [1].).), then [4].).).).
If [12], then [13].
Therefore, If (If [10], then [11].), then (If [5], then (If (Not (If [2], then [1].).), then [4].).)..
|
{0: 'Grow plants accumulate nitrate.', 1: 'Most creatures possess cheek teeth.', 2: 'Falls are the leading cause of injury hospitalizations, both in Washington and nationally.', 3: 'Technological currency is essential in the marketplace.', 4: 'Most surgical abortions take anywhere from five to fifteen minutes.', 5: 'Analyses use procedures.', 6: 'Manta rays are quiet and peaceful beings that pose no danger to humans.', 7: 'Bald eagles eat dead animals.', 8: 'Office buildings make up the city s bigger buildings.', 9: 'Ethernet can go at different speeds.', 10: 'Women get welfare only if no man is present in the home.', 11: 'Producers are able to make food using the simple substances water and carbon dioxide.', 12: 'Most robins migrate intermediate distances.', 13: 'Women develop severe abdominal pain.'}
| 6 |
5,700 |
['At least one of two things is true: dehydration is possible, but uncommon, or plants tolerate aneuploidy much better than animals.', 'Either wheat has (part) corpi or tendons take a long time to heal.', 'Assuming wheat has (part) corpi, we know that if dehydration is possible, but uncommon, then some people mistakenly believe that pupillary miosis is common.', 'Given that tendons take a long time to heal, it can be inferred that if dehydration is possible, but uncommon, then some people mistakenly believe that pupillary miosis is common.', "Given that the claim that if plants tolerate aneuploidy much better than animals, then some people mistakenly believe that pupillary miosis is common is false, it can be inferred that the statement 'anger management is seen as a way to improve one's reaction to stressful situations' can be considered false.", "So long as filters create electronic noise, the deeper the filter, the greater the noise, 'either if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy or if the claim that if plants tolerate aneuploidy much better than animals, then some people mistakenly believe that pupillary miosis is common is false, then anger management is seen as a way to improve one's reaction to stressful situations' is true.", "The statement 'filters create electronic noise, the deeper the filter, the greater the noise' can be considered true.", 'If if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy, then intracellular bacteria indicates bacterial sepsis.', 'One may reasonably assume that if if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy, then the claim that intracellular bacteria indicates bacterial sepsis does not reflect reality.']
|
At least one of two things is true: dehydration is possible, but uncommon, or plants tolerate aneuploidy much better than animals. Either wheat has (part) corpi or tendons take a long time to heal. Assuming wheat has (part) corpi, we know that if dehydration is possible, but uncommon, then some people mistakenly believe that pupillary miosis is common. Given that tendons take a long time to heal, it can be inferred that if dehydration is possible, but uncommon, then some people mistakenly believe that pupillary miosis is common. Given that the claim that if plants tolerate aneuploidy much better than animals, then some people mistakenly believe that pupillary miosis is common is false, it can be inferred that the statement 'anger management is seen as a way to improve one's reaction to stressful situations' can be considered false. So long as filters create electronic noise, the deeper the filter, the greater the noise, 'either if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy or if the claim that if plants tolerate aneuploidy much better than animals, then some people mistakenly believe that pupillary miosis is common is false, then anger management is seen as a way to improve one's reaction to stressful situations' is true. The statement 'filters create electronic noise, the deeper the filter, the greater the noise' can be considered true. If if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy, then intracellular bacteria indicates bacterial sepsis. One may reasonably assume that if if some cultures do it by beating gongs and bells to drive away the old and usher in the new, then prayer is meant to be atime of intimacy, then the claim that intracellular bacteria indicates bacterial sepsis does not reflect reality.
|
Some people mistakenly believe that pupillary miosis is common.
|
Some people mistakenly believe that pupillary miosis is common.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [3]. [SC1-2]
If (Not (If [2], then (Not [0].).).), then (Not [3].).
Therefore, If [2], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (Not (If [2], then (Not [0].).).), then [3].). [SC1-3]
Not (If [6], then [7].). [SC2-3]
Therefore, If (Not (If [2], then (Not [0].).).), then [3]..
[SC1-3]
Modus Ponens:
If [8], then (Either (If [6], then [7].) or (If (Not (If [2], then (Not [0].).).), then [3].).).
[8]
Therefore, Either (If [6], then [7].) or (If (Not (If [2], then (Not [0].).).), then [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [6], then [7].), then [9].
If (If [6], then [7].), then (Not [9].).
Therefore, Not (If [6], then [7].)..
|
{0: 'Pupillary miosis is common.', 1: 'Dehydration is possible, but uncommon.', 2: 'Plants tolerate aneuploidy much better than animals.', 3: "Anger management is seen as a way to improve one's reaction to stressful situations.", 4: 'Wheat has (part) corpi.', 5: 'Tendons take a long time to heal.', 6: 'Some cultures do it by beating gongs and bells to drive away the old and usher in the new.', 7: 'Prayer is meant to be atime of intimacy.', 8: 'Filters create electronic noise, the deeper the filter, the greater the noise.', 9: 'Intracellular bacteria indicates bacterial sepsis.'}
| 6 |
5,167 |
['Either longitudinal waves have compressions and rarefactions or diabetes can damage the nerves, causing a condition called neuropathy.', 'Once we know longitudinal waves have compressions and rarefactions, we also know that tapeworms also lack a circulatory system and an organ specialized for gas exchange.', 'One may reasonably assume that if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then most ospreys eat prey.', 'Once we know the claim that if those that suggest if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then the claim that most ospreys eat prey is false are wrong, then if authors discuss hot topics, then inhalation can cause temporary irritation of the eyes and upper respiratory tract does not reflect reality, we also know that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema.', 'We know that either some frogs live in neighborhoods or if those that suggest if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then the claim that most ospreys eat prey is false are wrong, then some people mistakenly believe that if authors discuss hot topics, then inhalation can cause temporary irritation of the eyes and upper respiratory tract.', 'It is not the case that some frogs live in neighborhoods.', 'Either one or both of these statements are true: carbon is stored in trees, plants, soil and fossil fuels, or parosteal osteosarcoma has a relatively good prognosis compared to conventional osteosarcoma.', 'Once we know carbon is stored in trees, plants, soil and fossil fuels, we also know that it is not true that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema.', 'When parosteal osteosarcoma has a relatively good prognosis compared to conventional osteosarcoma is true, it follows that it is not true that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema.']
|
Either longitudinal waves have compressions and rarefactions or diabetes can damage the nerves, causing a condition called neuropathy. Once we know longitudinal waves have compressions and rarefactions, we also know that tapeworms also lack a circulatory system and an organ specialized for gas exchange. One may reasonably assume that if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then most ospreys eat prey. Once we know the claim that if those that suggest if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then the claim that most ospreys eat prey is false are wrong, then if authors discuss hot topics, then inhalation can cause temporary irritation of the eyes and upper respiratory tract does not reflect reality, we also know that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema. We know that either some frogs live in neighborhoods or if those that suggest if the claim that if diabetes can damage the nerves, causing a condition called neuropathy, then tapeworms also lack a circulatory system and an organ specialized for gas exchange has no merit, then the claim that most ospreys eat prey is false are wrong, then some people mistakenly believe that if authors discuss hot topics, then inhalation can cause temporary irritation of the eyes and upper respiratory tract. It is not the case that some frogs live in neighborhoods. Either one or both of these statements are true: carbon is stored in trees, plants, soil and fossil fuels, or parosteal osteosarcoma has a relatively good prognosis compared to conventional osteosarcoma. Once we know carbon is stored in trees, plants, soil and fossil fuels, we also know that it is not true that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema. When parosteal osteosarcoma has a relatively good prognosis compared to conventional osteosarcoma is true, it follows that it is not true that either dislocations can also act as fast diffusion pathways or photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema.
|
The idea that tapeworms also lack a circulatory system and an organ specialized for gas exchange is true.
|
The statement that 'tapeworms also lack a circulatory system and an organ specialized for gas exchange' is incorrect.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3].
If (Not (If [2], then [0].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (If [4], then [5].). [SC1-3]
If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (Not (If [4], then [5].).). [SC2-3]
Therefore, If (Not (If [2], then [0].).), then (Not [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (If [4], then [5].).).), then (Either [6] or [7].).
Not (Either [6] or [7].). [SC2-4]
Therefore, If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (If [4], then [5].)..
[SC2-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not (Either [6] or [7].).).
If [10], then (Not (Either [6] or [7].).).
Therefore, Not (Either [6] or [7].)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (Not (If [4], then [5].).).).
Not [8].
Therefore, If (Not (If (Not (If [2], then [0].).), then (Not [3].).).), then (Not (If [4], then [5].).)..
|
{0: 'Tapeworms also lack a circulatory system and an organ specialized for gas exchange.', 1: 'Longitudinal waves have compressions and rarefactions.', 2: 'Diabetes can damage the nerves, causing a condition called neuropathy.', 3: 'Most ospreys eat prey.', 4: 'Authors discuss hot topics.', 5: 'Inhalation can cause temporary irritation of the eyes and upper respiratory tract.', 6: 'Dislocations can also act as fast diffusion pathways.', 7: 'Photocoagulation reduces visual loss in patients with proliferative retinopathy or macular oedema.', 8: 'Some frogs live in neighborhoods.', 9: 'Carbon is stored in trees, plants, soil and fossil fuels.', 10: 'Parosteal osteosarcoma has a relatively good prognosis compared to conventional osteosarcoma.'}
| 6 |
5,998 |
['When some wild animals bite people is true, it follows that stress can cause headaches, allergies, asthma, diarrhea, ulcers.', 'Provided that either paraphrase is a revising or sheep do have a capacity to follow and they follow to their own death, we know that stress can cause headaches, allergies, asthma, diarrhea, ulcers.', 'Given that it is not the case that either some wild animals bite people or either paraphrase is a revising or sheep do have a capacity to follow and they follow to their own death, it can be inferred that bed bugs are attracted to the carbon dioxide emitted by their hosts.', 'Once we know anteaters live in South America and Central America , we also know that the claim that weakened muscles affect crying, sucking, breathing and swallowing does not reflect reality.', 'Either hexagonal patterns seem to develop easily in round pans or many growers use fowl manure to provide nutrients to their crops.', 'Once we know hexagonal patterns seem to develop easily in round pans, we also know that if bed bugs are attracted to the carbon dioxide emitted by their hosts, then anteaters live in South America and Central America .', 'Assuming many growers use fowl manure to provide nutrients to their crops, we know that if bed bugs are attracted to the carbon dioxide emitted by their hosts, then anteaters live in South America and Central America .', 'Either glance is a look or if anteaters live in South America and Central America , then weakened muscles affect crying, sucking, breathing and swallowing.', "The statement 'glance is a look' can be considered false."]
|
When some wild animals bite people is true, it follows that stress can cause headaches, allergies, asthma, diarrhea, ulcers. Provided that either paraphrase is a revising or sheep do have a capacity to follow and they follow to their own death, we know that stress can cause headaches, allergies, asthma, diarrhea, ulcers. Given that it is not the case that either some wild animals bite people or either paraphrase is a revising or sheep do have a capacity to follow and they follow to their own death, it can be inferred that bed bugs are attracted to the carbon dioxide emitted by their hosts. Once we know anteaters live in South America and Central America , we also know that the claim that weakened muscles affect crying, sucking, breathing and swallowing does not reflect reality. Either hexagonal patterns seem to develop easily in round pans or many growers use fowl manure to provide nutrients to their crops. Once we know hexagonal patterns seem to develop easily in round pans, we also know that if bed bugs are attracted to the carbon dioxide emitted by their hosts, then anteaters live in South America and Central America . Assuming many growers use fowl manure to provide nutrients to their crops, we know that if bed bugs are attracted to the carbon dioxide emitted by their hosts, then anteaters live in South America and Central America . Either glance is a look or if anteaters live in South America and Central America , then weakened muscles affect crying, sucking, breathing and swallowing. The statement 'glance is a look' can be considered false.
|
The claim that stress can cause headaches, allergies, asthma, diarrhea, ulcers holds true.
|
The claim that stress can cause headaches, allergies, asthma, diarrhea, ulcers holds true.
|
TRUE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0].
If (Either [2] or [3].), then [0].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Either [2] or [3].).).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or (Either [2] or [3].).).), then [6].
If [6], then [4]. [SC2-3]
Therefore, If (Not (Either [1] or (Either [2] or [3].).).), then [4]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then [4].).
If [8], then (If [6], then [4].).
Therefore, If [6], then [4]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-3]
If [4], then (Not [5].).
Therefore, Not [4]..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If [4], then [5].).
Not [9].
Therefore, If [4], then [5]..
|
{0: 'Stress can cause headaches, allergies, asthma, diarrhea, ulcers.', 1: 'Some wild animals bite people.', 2: 'Paraphrase is a revising.', 3: 'Sheep do have a capacity to follow and they follow to their own death.', 4: 'Anteaters live in South America and Central America .', 5: 'Weakened muscles affect crying, sucking, breathing and swallowing.', 6: 'Bed bugs are attracted to the carbon dioxide emitted by their hosts.', 7: 'Hexagonal patterns seem to develop easily in round pans.', 8: 'Many growers use fowl manure to provide nutrients to their crops.', 9: 'Glance is a look.'}
| 6 |
5,984 |
["Given that the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then punctuation is a cognitive skill of little interest to professionals does not correspond with reality, it can be inferred that garlics are divided into many parts called ' .", "Whenever it is true that the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then it is a common misconception that punctuation is a cognitive skill of little interest to professionals does not correspond with reality, 'planetary nebulae are important sources of the gas in the interstellar medium ' is true.", "It is a fact that either falcons shake wings or if the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then punctuation is a cognitive skill of little interest to professionals does not correspond with reality, then the statement that 'garlics are divided into many parts called ' ' is incorrect.", "When cartilage is retained in adults in places where firmness and flexibility are needed is true, it follows that if the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then it is a common misconception that punctuation is a cognitive skill of little interest to professionals does not correspond with reality, then the statement that 'planetary nebulae are important sources of the gas in the interstellar medium ' is incorrect.", 'cartilage is retained in adults in places where firmness and flexibility are needed.', "So long as falcons shake wings, 'economists are strong advocates of the virtues of allocation through the price system' is true.", 'It is not the case that economists are strong advocates of the virtues of allocation through the price system.']
|
Given that the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then punctuation is a cognitive skill of little interest to professionals does not correspond with reality, it can be inferred that garlics are divided into many parts called ' . Whenever it is true that the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then it is a common misconception that punctuation is a cognitive skill of little interest to professionals does not correspond with reality, 'planetary nebulae are important sources of the gas in the interstellar medium ' is true. It is a fact that either falcons shake wings or if the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then punctuation is a cognitive skill of little interest to professionals does not correspond with reality, then the statement that 'garlics are divided into many parts called ' ' is incorrect. When cartilage is retained in adults in places where firmness and flexibility are needed is true, it follows that if the claim that if it is a common misconception that either pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria or wisdom comes from elders who are tried in the fire of truth and righteousness, then it is a common misconception that punctuation is a cognitive skill of little interest to professionals does not correspond with reality, then the statement that 'planetary nebulae are important sources of the gas in the interstellar medium ' is incorrect. cartilage is retained in adults in places where firmness and flexibility are needed. So long as falcons shake wings, 'economists are strong advocates of the virtues of allocation through the price system' is true. It is not the case that economists are strong advocates of the virtues of allocation through the price system.
|
We know that at least one of two things is true: pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria, or wisdom comes from elders who are tried in the fire of truth and righteousness.
|
We know that at least one of two things is true: pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria, or wisdom comes from elders who are tried in the fire of truth and righteousness.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [4].
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [4].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [4].).).
Not [6]. [SC2-3]
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [4].)..
[SC2-3]
Modus Tonens:
If [6], then [7].
Not [7].
Therefore, Not [6]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [3].
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].).).
[5]
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].)..
|
{0: 'Pasteurization is a process in which raw milk is exposed to heat in order to kill bacteria.', 1: 'Wisdom comes from elders who are tried in the fire of truth and righteousness.', 2: 'Punctuation is a cognitive skill of little interest to professionals.', 3: 'Planetary nebulae are important sources of the gas in the interstellar medium .', 4: "Garlics are divided into many parts called ' .", 5: 'Cartilage is retained in adults in places where firmness and flexibility are needed.', 6: 'Falcons shake wings.', 7: 'Economists are strong advocates of the virtues of allocation through the price system.'}
| 6 |
5,491 |
['The claim that complexity is an important topic, as well for finite algebraic structures as for infinite ones does not reflect reality.', 'Assuming the statement, if the claim that either mutants affect coat texture or decimals do more than make the math easier does not correspond with reality, then if winter wolves can use their breath weapon while biting, then some treatments increase excretion, does not hold, we know that attainment is an arrival.', 'If the statement, if the claim that either mutants affect coat texture or decimals do more than make the math easier does not correspond with reality, then if winter wolves can use their breath weapon while biting, then some treatments increase excretion, does not hold, then the claim that attainment is an arrival has no merit.', 'If yellow ironweed grows statewide in moist, lowland woods and along streams, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones.', 'It is rational to believe that either hooligans come from all walks of life and use the Internet to communicate with one another or either plants consist mostly of benthic algae, mostly diatoms or economic growth is usually a necessary condition for poverty reduction.', "Whenever it is true that hooligans come from all walks of life and use the Internet to communicate with one another, 'either yellow ironweed grows statewide in moist, lowland woods and along streams or if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls' is true.", 'When either plants consist mostly of benthic algae, mostly diatoms or economic growth is usually a necessary condition for poverty reduction is true, it follows that either yellow ironweed grows statewide in moist, lowland woods and along streams or if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls.', 'There is good reason to believe that either cystic fibrosis is the leading genetic killer in the United States or cellular respiration occurs in the cells of all living things.', 'On the condition that cystic fibrosis is the leading genetic killer in the United States, it is definitely the case that if if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones.', 'Given that cellular respiration occurs in the cells of all living things, it can be inferred that if if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones.']
|
The claim that complexity is an important topic, as well for finite algebraic structures as for infinite ones does not reflect reality. Assuming the statement, if the claim that either mutants affect coat texture or decimals do more than make the math easier does not correspond with reality, then if winter wolves can use their breath weapon while biting, then some treatments increase excretion, does not hold, we know that attainment is an arrival. If the statement, if the claim that either mutants affect coat texture or decimals do more than make the math easier does not correspond with reality, then if winter wolves can use their breath weapon while biting, then some treatments increase excretion, does not hold, then the claim that attainment is an arrival has no merit. If yellow ironweed grows statewide in moist, lowland woods and along streams, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones. It is rational to believe that either hooligans come from all walks of life and use the Internet to communicate with one another or either plants consist mostly of benthic algae, mostly diatoms or economic growth is usually a necessary condition for poverty reduction. Whenever it is true that hooligans come from all walks of life and use the Internet to communicate with one another, 'either yellow ironweed grows statewide in moist, lowland woods and along streams or if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls' is true. When either plants consist mostly of benthic algae, mostly diatoms or economic growth is usually a necessary condition for poverty reduction is true, it follows that either yellow ironweed grows statewide in moist, lowland woods and along streams or if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls. There is good reason to believe that either cystic fibrosis is the leading genetic killer in the United States or cellular respiration occurs in the cells of all living things. On the condition that cystic fibrosis is the leading genetic killer in the United States, it is definitely the case that if if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones. Given that cellular respiration occurs in the cells of all living things, it can be inferred that if if delusions involve imagining that someone wants to harm the person or are very complex , then synthetic stucco is cement modified with polymer that covers exterior walls, then if if winter wolves can use their breath weapon while biting, then some treatments increase excretion, then complexity is an important topic, as well for finite algebraic structures as for infinite ones.
|
It is a fact that either mutants affect coat texture or decimals do more than make the math easier.
|
It is rational to believe that either mutants have (part) nuclei or decimals is the number of decimal places in the result.
|
Uncertain
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2].
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then (If [3], then [4].). [SC1-2]
If (If [3], then [4].), then [2]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (If [3], then [4].).).), then [8].
If (Not (If (Not (Either [0] or [1].).), then (If [3], then [4].).).), then (Not [8].).
Therefore, If (Not (Either [0] or [1].).), then (If [3], then [4].)..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (If (If [3], then [4].), then [2].).
If (If [6], then [7].), then (If (If [3], then [4].), then [2].). [SC3-3]
Therefore, If (If [3], then [4].), then [2]..
[SC1-3]
Disjunction Elimination:
Either [11] or (Either [12] or [13].).
If [11], then (Either [5] or (If [6], then [7].).).
If (Either [12] or [13].), then (Either [5] or (If [6], then [7].).).
Therefore, Either [5] or (If [6], then [7].)..
[SC3-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [6], then [7].), then (If (If [3], then [4].), then [2].).).
If [10], then (If (If [6], then [7].), then (If (If [3], then [4].), then [2].).).
Therefore, If (If [6], then [7].), then (If (If [3], then [4].), then [2].)..
|
{0: 'Mutants affect coat texture.', 1: 'Decimals do more than make the math easier.', 2: 'Complexity is an important topic, as well for finite algebraic structures as for infinite ones.', 3: 'Winter wolves can use their breath weapon while biting.', 4: 'Some treatments increase excretion.', 5: 'Yellow ironweed grows statewide in moist, lowland woods and along streams.', 6: 'Delusions involve imagining that someone wants to harm the person or are very complex .', 7: 'Synthetic stucco is cement modified with polymer that covers exterior walls.', 8: 'Attainment is an arrival.', 9: 'Cystic fibrosis is the leading genetic killer in the United States.', 10: 'Cellular respiration occurs in the cells of all living things.', 11: 'Hooligans come from all walks of life and use the Internet to communicate with one another.', 12: 'Plants consist mostly of benthic algae, mostly diatoms.', 13: 'Economic growth is usually a necessary condition for poverty reduction.'}
| 6 |
5,010 |
['It is reasonable to believe that imbalanced rations cause problems, especially in growing animals.', 'When those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong is true, it follows that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels.', "Once we know plants enter final stages, we also know that the statement that 'most rain produces growth' is incorrect.", 'Provided that the claim that if those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong, then the claim that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels does not correspond with reality does not correspond with reality, we know that files sizes represent the size of the files for downloading.', 'When the claim that if those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong, then the claim that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels does not correspond with reality does not correspond with reality is true, it follows that it is not true that files sizes represent the size of the files for downloading.', "So long as baseball is also popular in Cuba and other Caribbean nations, 'if if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry, then plants enter final stages' is true.", 'The claim that baseball is also popular in Cuba and other Caribbean nations is true.']
|
It is reasonable to believe that imbalanced rations cause problems, especially in growing animals. When those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong is true, it follows that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels. Once we know plants enter final stages, we also know that the statement that 'most rain produces growth' is incorrect. Provided that the claim that if those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong, then the claim that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels does not correspond with reality does not correspond with reality, we know that files sizes represent the size of the files for downloading. When the claim that if those that suggest if imbalanced rations cause problems, especially in growing animals, then if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry are wrong, then the claim that either most snails eat living and decaying plants, but some are scavengers and some are predators or longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels does not correspond with reality does not correspond with reality is true, it follows that it is not true that files sizes represent the size of the files for downloading. So long as baseball is also popular in Cuba and other Caribbean nations, 'if if fashion is practice, then rape is an inflammatory word, especially with respect to the adult industry, then plants enter final stages' is true. The claim that baseball is also popular in Cuba and other Caribbean nations is true.
|
The statement that 'most rain produces growth' is incorrect.
|
The statement that 'most rain produces growth' is incorrect.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (If [2], then [3].).).), then (Either [5] or [6].).
If (Not (If [1], then (If [2], then [3].).).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, If [1], then (If [2], then [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (If [2], then [3].).).), then (Not (Either [5] or [6].).).).), then [7].
If (Not (If (Not (If [1], then (If [2], then [3].).).), then (Not (Either [5] or [6].).).).), then (Not [7].).
Therefore, If (Not (If [1], then (If [2], then [3].).).), then (Not (Either [5] or [6].).)..
[SC2-2]
Hypothetical Syllogism:
If (If [2], then [3].), then [4]. [SC1-3]
If [4], then (Not [0].).
Therefore, If (If [2], then [3].), then (Not [0].)..
[SC1-3]
Modus Ponens:
If [8], then (If (If [2], then [3].), then [4].).
[8]
Therefore, If (If [2], then [3].), then [4]..
|
{0: 'Most rain produces growth.', 1: 'Imbalanced rations cause problems, especially in growing animals.', 2: 'Fashion is practice.', 3: 'Rape is an inflammatory word, especially with respect to the adult industry.', 4: 'Plants enter final stages.', 5: 'Most snails eat living and decaying plants, but some are scavengers and some are predators.', 6: 'Longitudinal flexibility refers to the ability to pass through vascular bends or tortuous vessels.', 7: 'Files sizes represent the size of the files for downloading.', 8: 'Baseball is also popular in Cuba and other Caribbean nations.'}
| 6 |
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