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| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
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| conclusion
stringlengths 15
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| question
stringlengths 14
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stringlengths 54
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stringlengths 51
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4,993 |
['It is rational to believe that either energy is a dominant factor in deforestation or acupuncture is a core therapy of Chinese medicine and one of the oldest known techniques of healing.', 'Assuming energy is a dominant factor in deforestation, we know that either greenery is plentiful with native and ornamental trees and shrubbery or eruptions increase in frequency the closer comets get to the sun.', "Whenever it is true that acupuncture is a core therapy of Chinese medicine and one of the oldest known techniques of healing, 'either greenery is plentiful with native and ornamental trees and shrubbery or eruptions increase in frequency the closer comets get to the sun' is true.", 'There is good reason to believe that either american goldfinches have bright feathers or if greenery is plentiful with native and ornamental trees and shrubbery, then if experts explain how a penis changes in size, appearance, and sexual function with age, then international research shows that most people begin to use drugs recreationally in teen age.', "The notion that 'american goldfinches have bright feathers' is untrue.", 'It is a common misconception that if carpenters are field personnel skilled in all aspects of construction, then dinsdale soils are on convex ridges and side slopes on uplands.', 'Assuming it is not the case that either if carpenters are field personnel skilled in all aspects of construction, then dinsdale soils are on convex ridges and side slopes on uplands or if eruptions increase in frequency the closer comets get to the sun, then if experts explain how a penis changes in size, appearance, and sexual function with age, then international research shows that most people begin to use drugs recreationally in teen age, we know that some dominant mutation affects chromosome inheritances.', 'The claim that some dominant mutation affects chromosome inheritances does not correspond with reality.']
|
It is rational to believe that either energy is a dominant factor in deforestation or acupuncture is a core therapy of Chinese medicine and one of the oldest known techniques of healing. Assuming energy is a dominant factor in deforestation, we know that either greenery is plentiful with native and ornamental trees and shrubbery or eruptions increase in frequency the closer comets get to the sun. Whenever it is true that acupuncture is a core therapy of Chinese medicine and one of the oldest known techniques of healing, 'either greenery is plentiful with native and ornamental trees and shrubbery or eruptions increase in frequency the closer comets get to the sun' is true. There is good reason to believe that either american goldfinches have bright feathers or if greenery is plentiful with native and ornamental trees and shrubbery, then if experts explain how a penis changes in size, appearance, and sexual function with age, then international research shows that most people begin to use drugs recreationally in teen age. The notion that 'american goldfinches have bright feathers' is untrue. It is a common misconception that if carpenters are field personnel skilled in all aspects of construction, then dinsdale soils are on convex ridges and side slopes on uplands. Assuming it is not the case that either if carpenters are field personnel skilled in all aspects of construction, then dinsdale soils are on convex ridges and side slopes on uplands or if eruptions increase in frequency the closer comets get to the sun, then if experts explain how a penis changes in size, appearance, and sexual function with age, then international research shows that most people begin to use drugs recreationally in teen age, we know that some dominant mutation affects chromosome inheritances. The claim that some dominant mutation affects chromosome inheritances does not correspond with reality.
|
So long as experts explain how a penis changes in size, appearance, and sexual function with age, 'international research shows that most people begin to use drugs recreationally in teen age' is true.
|
So long as experts explain how a penis changes in size, appearance, and sexual function with age, 'international research shows that most people begin to use drugs recreationally in teen age' is true.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [2] or [3].).
If [6], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [2], then (If [0], then [1].).).
Not [4].
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [3], then (If [0], then [1].).). [SC1-2]
Not (If [7], then [8].).
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [7], then [8].) or (If [3], then (If [0], then [1].).).).), then [9].
Not [9].
Therefore, Either (If [7], then [8].) or (If [3], then (If [0], then [1].).)..
|
{0: 'Experts explain how a penis changes in size, appearance, and sexual function with age.', 1: 'International research shows that most people begin to use drugs recreationally in teen age.', 2: 'Greenery is plentiful with native and ornamental trees and shrubbery.', 3: 'Eruptions increase in frequency the closer comets get to the sun.', 4: 'American goldfinches have bright feathers.', 5: 'Energy is a dominant factor in deforestation.', 6: 'Acupuncture is a core therapy of Chinese medicine and one of the oldest known techniques of healing.', 7: 'Carpenters are field personnel skilled in all aspects of construction.', 8: 'Dinsdale soils are on convex ridges and side slopes on uplands.', 9: 'Some dominant mutation affects chromosome inheritances.'}
| 5 |
4,859 |
['Should it be the case that neoclassical transport scales as the square of the magnetic field, it follows that the claim that insects feed on green plants does not correspond with reality.', 'We know that at least one of two things is true: if portals are entrances, then dog parks are a place for owners to train and socialize dogs, or some pipe plovers consume worms.', "Whenever it is true that if portals are entrances, then dog parks are a place for owners to train and socialize dogs, 'nouns are words that name persons, places, things, qualities or actions' is true.", 'Should it be the case that nouns are words that name persons, places, things, qualities or actions, it follows that neoclassical transport scales as the square of the magnetic field.', "Once we know the statement that 'if some pipe plovers consume worms, then neoclassical transport scales as the square of the magnetic field' is incorrect, we also know that it is not the case that poultry is a source of proteins which have an excellent amino acid profile.", "We know that either artists Learn art by studying the lives and works of famous artists or if the statement that 'if some pipe plovers consume worms, then neoclassical transport scales as the square of the magnetic field' is incorrect, then poultry is a source of proteins which have an excellent amino acid profile.", 'We know that the claim that artists Learn art by studying the lives and works of famous artists is false.']
|
Should it be the case that neoclassical transport scales as the square of the magnetic field, it follows that the claim that insects feed on green plants does not correspond with reality. We know that at least one of two things is true: if portals are entrances, then dog parks are a place for owners to train and socialize dogs, or some pipe plovers consume worms. Whenever it is true that if portals are entrances, then dog parks are a place for owners to train and socialize dogs, 'nouns are words that name persons, places, things, qualities or actions' is true. Should it be the case that nouns are words that name persons, places, things, qualities or actions, it follows that neoclassical transport scales as the square of the magnetic field. Once we know the statement that 'if some pipe plovers consume worms, then neoclassical transport scales as the square of the magnetic field' is incorrect, we also know that it is not the case that poultry is a source of proteins which have an excellent amino acid profile. We know that either artists Learn art by studying the lives and works of famous artists or if the statement that 'if some pipe plovers consume worms, then neoclassical transport scales as the square of the magnetic field' is incorrect, then poultry is a source of proteins which have an excellent amino acid profile. We know that the claim that artists Learn art by studying the lives and works of famous artists is false.
|
The claim that insects feed on green plants does not correspond with reality.
|
The claim that insects feed on green plants does not correspond with reality.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then [1]. [SC2-2]
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC2-2]
Hypothetical Syllogism:
If (If [2], then [3].), then [6].
If [6], then [1].
Therefore, If (If [2], then [3].), then [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [5]. [SC1-3]
If (Not (If [4], then [1].).), then (Not [5].).
Therefore, If [4], then [1]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [4], then [1].).), then [5].).
Not [7].
Therefore, If (Not (If [4], then [1].).), then [5]..
|
{0: 'Insects feed on green plants.', 1: 'Neoclassical transport scales as the square of the magnetic field.', 2: 'Portals are entrances.', 3: 'Dog parks are a place for owners to train and socialize dogs.', 4: 'Some pipe plovers consume worms.', 5: 'Poultry is a source of proteins which have an excellent amino acid profile.', 6: 'Nouns are words that name persons, places, things, qualities or actions.', 7: 'Artists Learn art by studying the lives and works of famous artists.'}
| 5 |
4,298 |
["Once we know several factors affect the body's ability to cool itself during extremely hot weather, we also know that paper accounts for the largest share of solid waste in many industrial countries.", "So long as moles can change over time and often respond to hormonal changes, such as during pregnancy, 'paper accounts for the largest share of solid waste in many industrial countries' is true.", "Whenever it is true that nursing is both an art and a science, 'humans are predators' is true.", 'There is good reason to believe that either if heat sinks are sinks, then neural networks are computational tools that mimic the way the human brain functions or we know that the claim that humans are predators is false.', 'The statement, if heat sinks are sinks, then neural networks are computational tools that mimic the way the human brain functions, does not hold.', "On the condition that the claim that either several factors affect the body's ability to cool itself during extremely hot weather or moles can change over time and often respond to hormonal changes, such as during pregnancy does not correspond with reality, it is definitely the case that many doctors say that a healthy limit is two drinks a day for men and one drink a day for women.", 'Provided that many doctors say that a healthy limit is two drinks a day for men and one drink a day for women, we know that nursing is both an art and a science.']
|
Once we know several factors affect the body's ability to cool itself during extremely hot weather, we also know that paper accounts for the largest share of solid waste in many industrial countries. So long as moles can change over time and often respond to hormonal changes, such as during pregnancy, 'paper accounts for the largest share of solid waste in many industrial countries' is true. Whenever it is true that nursing is both an art and a science, 'humans are predators' is true. There is good reason to believe that either if heat sinks are sinks, then neural networks are computational tools that mimic the way the human brain functions or we know that the claim that humans are predators is false. The statement, if heat sinks are sinks, then neural networks are computational tools that mimic the way the human brain functions, does not hold. On the condition that the claim that either several factors affect the body's ability to cool itself during extremely hot weather or moles can change over time and often respond to hormonal changes, such as during pregnancy does not correspond with reality, it is definitely the case that many doctors say that a healthy limit is two drinks a day for men and one drink a day for women. Provided that many doctors say that a healthy limit is two drinks a day for men and one drink a day for women, we know that nursing is both an art and a science.
|
The claim that paper accounts for the largest share of solid waste in many industrial countries is true.
|
Papers are collections of related manuscripts generated by an individual or family.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or [2].).), then [4]. [SC1-3]
If [4], then [3].
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [1] or [2].).), then [7].
If [7], then [4].
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [3].).
Not (If [5], then [6].).
Therefore, Not [3]..
|
{0: 'Paper accounts for the largest share of solid waste in many industrial countries.', 1: "Several factors affect the body's ability to cool itself during extremely hot weather.", 2: 'Moles can change over time and often respond to hormonal changes, such as during pregnancy.', 3: 'Humans are predators.', 4: 'Nursing is both an art and a science.', 5: 'Heat sinks are sinks.', 6: 'Neural networks are computational tools that mimic the way the human brain functions.', 7: 'Many doctors say that a healthy limit is two drinks a day for men and one drink a day for women.'}
| 5 |
4,553 |
['Once we know those that suggest if it is a common misconception that most lizards eat plants, then computer users are located in buildings are wrong, we also know that if programme isa software, then a crane is a lifting device.', 'It is not the case that if programme isa software, then a crane is a lifting device.', 'Either design patterns are a tool for capturing expertise about design and for improving design or sweep nets work best when foliage is dry and wind speeds are low.', 'When design patterns are a tool for capturing expertise about design and for improving design is true, it follows that if computer users are located in buildings, then free elections allow citizens to anonymously select their leaders.', 'Assuming sweep nets work best when foliage is dry and wind speeds are low, we know that if computer users are located in buildings, then free elections allow citizens to anonymously select their leaders.', "Given that social psychology is a branch of psychology that studies individuals in the social context, it can be inferred that the statement 'free elections allow citizens to anonymously select their leaders' can be considered false.", "The statement 'social psychology is a branch of psychology that studies individuals in the social context' is true."]
|
Once we know those that suggest if it is a common misconception that most lizards eat plants, then computer users are located in buildings are wrong, we also know that if programme isa software, then a crane is a lifting device. It is not the case that if programme isa software, then a crane is a lifting device. Either design patterns are a tool for capturing expertise about design and for improving design or sweep nets work best when foliage is dry and wind speeds are low. When design patterns are a tool for capturing expertise about design and for improving design is true, it follows that if computer users are located in buildings, then free elections allow citizens to anonymously select their leaders. Assuming sweep nets work best when foliage is dry and wind speeds are low, we know that if computer users are located in buildings, then free elections allow citizens to anonymously select their leaders. Given that social psychology is a branch of psychology that studies individuals in the social context, it can be inferred that the statement 'free elections allow citizens to anonymously select their leaders' can be considered false. The statement 'social psychology is a branch of psychology that studies individuals in the social context' is true.
|
It is rational to agree that most lizards eat plants.
|
Lizards eat insects.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (If [2], then [3].).
Not (If [2], then [3].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If [1], then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then [4].).
If [6], then (If [1], then [4].).
Therefore, If [1], then [4]..
[SC2-2]
Modus Ponens:
If [7], then (Not [4].).
[7]
Therefore, Not [4]..
|
{0: 'Most lizards eat plants.', 1: 'Computer users are located in buildings.', 2: 'Programme isa software.', 3: 'A crane is a lifting device.', 4: 'Free elections allow citizens to anonymously select their leaders.', 5: 'Design patterns are a tool for capturing expertise about design and for improving design.', 6: 'Sweep nets work best when foliage is dry and wind speeds are low.', 7: 'Social psychology is a branch of psychology that studies individuals in the social context.'}
| 5 |
4,672 |
['It is a fact that either perineural invasion has a negative impact on survival or if breeders report rabbits, then respiratory infections caused by viruses are common during the winter months.', "The statement 'perineural invasion has a negative impact on survival' can be considered false.", "Once we know the notion that 'breeders report rabbits' is untrue, we also know that prostate symptoms can result in impotency.", "On the condition that prostate symptoms can result in impotency, it is definitely the case that the statement that states health promotes a young person's development and a positive relationship with the environment is false.", 'If prostate symptoms can result in impotency, then retrograde motion is caused by the motion of the Earth around the sun.', "Should it be the case that retrograde motion is caused by the motion of the Earth around the sun, it follows that health promotes a young person's development and a positive relationship with the environment."]
|
It is a fact that either perineural invasion has a negative impact on survival or if breeders report rabbits, then respiratory infections caused by viruses are common during the winter months. The statement 'perineural invasion has a negative impact on survival' can be considered false. Once we know the notion that 'breeders report rabbits' is untrue, we also know that prostate symptoms can result in impotency. On the condition that prostate symptoms can result in impotency, it is definitely the case that the statement that states health promotes a young person's development and a positive relationship with the environment is false. If prostate symptoms can result in impotency, then retrograde motion is caused by the motion of the Earth around the sun. Should it be the case that retrograde motion is caused by the motion of the Earth around the sun, it follows that health promotes a young person's development and a positive relationship with the environment.
|
The statement 'respiratory infections caused by viruses are common during the winter months' can be considered true.
|
The claim that respiratory infections caused by viruses are common during the winter months has no merit.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3].
Therefore, If [1], then [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [4].
Therefore, If [2], then [4]..
|
{0: 'Respiratory infections caused by viruses are common during the winter months.', 1: 'Breeders report rabbits.', 2: 'Prostate symptoms can result in impotency.', 3: 'Perineural invasion has a negative impact on survival.', 4: "Health promotes a young person's development and a positive relationship with the environment.", 5: 'Retrograde motion is caused by the motion of the Earth around the sun.'}
| 5 |
4,971 |
['Either diagonal lines mark the place where wall and ceiling meet or if spirit communication is mind to mind, then most ectotherms rely on environments.', 'We know that the claim that diagonal lines mark the place where wall and ceiling meet is false.', 'When it is a common misconception that spirit communication is mind to mind is true, it follows that the claim that red rock crabs prefer substrate has no merit.', 'One may reasonably assume that if hypothyroidism is the insufficient synthesis of the thyroid hormone, then red rock crabs prefer substrate.', 'Given that it is not true that if it is a common misconception that spirit communication is mind to mind, then hypothyroidism is the insufficient synthesis of the thyroid hormone, it can be inferred that technology is everywhere in our society.', "So long as it is not true that if it is a common misconception that spirit communication is mind to mind, then hypothyroidism is the insufficient synthesis of the thyroid hormone, 'it is not true that technology is everywhere in our society' is true."]
|
Either diagonal lines mark the place where wall and ceiling meet or if spirit communication is mind to mind, then most ectotherms rely on environments. We know that the claim that diagonal lines mark the place where wall and ceiling meet is false. When it is a common misconception that spirit communication is mind to mind is true, it follows that the claim that red rock crabs prefer substrate has no merit. One may reasonably assume that if hypothyroidism is the insufficient synthesis of the thyroid hormone, then red rock crabs prefer substrate. Given that it is not true that if it is a common misconception that spirit communication is mind to mind, then hypothyroidism is the insufficient synthesis of the thyroid hormone, it can be inferred that technology is everywhere in our society. So long as it is not true that if it is a common misconception that spirit communication is mind to mind, then hypothyroidism is the insufficient synthesis of the thyroid hormone, 'it is not true that technology is everywhere in our society' is true.
|
The claim that most ectotherms rely on environments is true.
|
The claim that most ectotherms rely on environments is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3].
Therefore, If [1], then [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [4]. [SC1-3]
If [4], then [2].
Therefore, If (Not [1].), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then [4].).), then [5].
If (Not (If (Not [1].), then [4].).), then (Not [5].).
Therefore, If (Not [1].), then [4]..
|
{0: 'Most ectotherms rely on environments.', 1: 'Spirit communication is mind to mind.', 2: 'Red rock crabs prefer substrate.', 3: 'Diagonal lines mark the place where wall and ceiling meet.', 4: 'Hypothyroidism is the insufficient synthesis of the thyroid hormone.', 5: 'Technology is everywhere in our society.'}
| 5 |
4,027 |
['Should it be the case that the claim that crystals are usually well-shaped octahedrons , and less commonly dodecahedrons does not correspond with reality, it follows that killers have (part) personality.', 'Either one or both of these statements are true: phenomenons are development, or the claim that most spiders use sticky silk has no merit.', 'It is not true that phenomenons are development.', 'When killers have (part) personality is true, it follows that if effectiveness depends on factors, then trees have limbs.', 'One may reasonably assume that if those that suggest if if effectiveness depends on factors, then trees have limbs, then most spiders use sticky silk are wrong, then european trucks are mostly SUVs and vans.', 'If those that suggest if if effectiveness depends on factors, then trees have limbs, then most spiders use sticky silk are wrong, then it is not the case that european trucks are mostly SUVs and vans.']
|
Should it be the case that the claim that crystals are usually well-shaped octahedrons , and less commonly dodecahedrons does not correspond with reality, it follows that killers have (part) personality. Either one or both of these statements are true: phenomenons are development, or the claim that most spiders use sticky silk has no merit. It is not true that phenomenons are development. When killers have (part) personality is true, it follows that if effectiveness depends on factors, then trees have limbs. One may reasonably assume that if those that suggest if if effectiveness depends on factors, then trees have limbs, then most spiders use sticky silk are wrong, then european trucks are mostly SUVs and vans. If those that suggest if if effectiveness depends on factors, then trees have limbs, then most spiders use sticky silk are wrong, then it is not the case that european trucks are mostly SUVs and vans.
|
It is reasonable to believe that crystals are usually well-shaped octahedrons , and less commonly dodecahedrons .
|
It is reasonable to believe that crystals are usually well-shaped octahedrons , and less commonly dodecahedrons .
|
TRUE
|
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]
Hypothetical Syllogism:
If [3], then (If [4], then [5].).
If (If [4], then [5].), then [1]. [SC2-3]
Therefore, If [3], then [1]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [4], then [5].), then [1].).), then [6].
If (Not (If (If [4], then [5].), then [1].).), then (Not [6].).
Therefore, If (If [4], then [5].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2].
Therefore, Not [1]..
|
{0: 'Crystals are usually well-shaped octahedrons , and less commonly dodecahedrons .', 1: 'Most spiders use sticky silk.', 2: 'Phenomenons are development.', 3: 'Killers have (part) personality.', 4: 'Effectiveness depends on factors.', 5: 'Trees have limbs.', 6: 'European trucks are mostly SUVs and vans.'}
| 5 |
4,231 |
['It is reasonable to believe that blood quantum is a sterile, inhuman way of calculating authenticity.', "Once we know either endothermic animals have areas or stem rust is favored by warmer temperatures than either stripe or leaf rusts, we also know that the statement 'fluid enters the lungs, causing acute respiratory distress syndrome' can be considered false.", 'Either one or both of these statements are true: endothermic animals have areas, or stem rust is favored by warmer temperatures than either stripe or leaf rusts.', "The statement 'metaphors connect two different ideas, persons, places, or things' is true.", 'At least one of two things is true: most plants have characteristics, or if metaphors connect two different ideas, persons, places, or things, then if blood quantum is a sterile, inhuman way of calculating authenticity, then either fluid enters the lungs, causing acute respiratory distress syndrome or chancery courts hear civil cases, and circuit courts try both civil and criminal cases.', 'The claim that most plants have characteristics does not correspond with reality.']
|
It is reasonable to believe that blood quantum is a sterile, inhuman way of calculating authenticity. Once we know either endothermic animals have areas or stem rust is favored by warmer temperatures than either stripe or leaf rusts, we also know that the statement 'fluid enters the lungs, causing acute respiratory distress syndrome' can be considered false. Either one or both of these statements are true: endothermic animals have areas, or stem rust is favored by warmer temperatures than either stripe or leaf rusts. The statement 'metaphors connect two different ideas, persons, places, or things' is true. At least one of two things is true: most plants have characteristics, or if metaphors connect two different ideas, persons, places, or things, then if blood quantum is a sterile, inhuman way of calculating authenticity, then either fluid enters the lungs, causing acute respiratory distress syndrome or chancery courts hear civil cases, and circuit courts try both civil and criminal cases. The claim that most plants have characteristics does not correspond with reality.
|
It is a simple truth that chancery courts hear civil cases, and circuit courts try both civil and criminal cases.
|
We know that the claim that chancery courts hear civil cases, and circuit courts try both civil and criminal cases is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [5], then (If [2], then (Either [1] or [0].).). [SC1-3]
[5]
Therefore, If [2], then (Either [1] or [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [5], then (If [2], then (Either [1] or [0].).).).
Not [6].
Therefore, If [5], then (If [2], then (Either [1] or [0].).)..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (Not [1].).
Either [3] or [4].
Therefore, Not [1]..
|
{0: 'Chancery courts hear civil cases, and circuit courts try both civil and criminal cases.', 1: 'Fluid enters the lungs, causing acute respiratory distress syndrome.', 2: 'Blood quantum is a sterile, inhuman way of calculating authenticity.', 3: 'Endothermic animals have areas.', 4: 'Stem rust is favored by warmer temperatures than either stripe or leaf rusts.', 5: 'Metaphors connect two different ideas, persons, places, or things.', 6: 'Most plants have characteristics.'}
| 5 |
4,306 |
['Either one or both of these statements are true: either acorns become oak trees or capitalism is economy, or diseases are unlikely to affect all species the same way.', 'Assuming either acorns become oak trees or capitalism is economy, we know that if the claim that salespeople are information processors does not correspond with reality, then many people believe that information is the key to power.', 'On the condition that diseases are unlikely to affect all species the same way, it is definitely the case that if the claim that salespeople are information processors does not correspond with reality, then many people believe that information is the key to power.', 'Should it be the case that the claim that salespeople are information processors does not correspond with reality, it follows that skin sensations lie in the parietal lobe.', "We know that at least one of two things is true: vitamin U is the methylsulfonium salt of methionine, or if skin sensations lie in the parietal lobe, then the notion that 'many people believe that information is the key to power' is untrue.", 'Either some people use aloe to relieve the pain of burns or tea to soothe nerves or sulfur bridges strengthen the tire by linking the rubber polymer molecules.', 'If some people use aloe to relieve the pain of burns or tea to soothe nerves, then the statement, vitamin U is the methylsulfonium salt of methionine, does not hold.', 'Given that sulfur bridges strengthen the tire by linking the rubber polymer molecules, it can be inferred that the statement, vitamin U is the methylsulfonium salt of methionine, does not hold.']
|
Either one or both of these statements are true: either acorns become oak trees or capitalism is economy, or diseases are unlikely to affect all species the same way. Assuming either acorns become oak trees or capitalism is economy, we know that if the claim that salespeople are information processors does not correspond with reality, then many people believe that information is the key to power. On the condition that diseases are unlikely to affect all species the same way, it is definitely the case that if the claim that salespeople are information processors does not correspond with reality, then many people believe that information is the key to power. Should it be the case that the claim that salespeople are information processors does not correspond with reality, it follows that skin sensations lie in the parietal lobe. We know that at least one of two things is true: vitamin U is the methylsulfonium salt of methionine, or if skin sensations lie in the parietal lobe, then the notion that 'many people believe that information is the key to power' is untrue. Either some people use aloe to relieve the pain of burns or tea to soothe nerves or sulfur bridges strengthen the tire by linking the rubber polymer molecules. If some people use aloe to relieve the pain of burns or tea to soothe nerves, then the statement, vitamin U is the methylsulfonium salt of methionine, does not hold. Given that sulfur bridges strengthen the tire by linking the rubber polymer molecules, it can be inferred that the statement, vitamin U is the methylsulfonium salt of methionine, does not hold.
|
Those that suggest salespeople are information processors are right.
|
Salespersons work with the direct selling of goods and services to the public or another company.
|
Uncertain
|
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 (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (If (Not [0].), then [1].).
If [5], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then (Not [1].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then (Not [1].).).
Not [6]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Salespeople are information processors.', 1: 'Many people believe that information is the key to power.', 2: 'Skin sensations lie in the parietal lobe.', 3: 'Acorns become oak trees.', 4: 'Capitalism is economy.', 5: 'Diseases are unlikely to affect all species the same way.', 6: 'Vitamin U is the methylsulfonium salt of methionine.', 7: 'Some people use aloe to relieve the pain of burns or tea to soothe nerves.', 8: 'Sulfur bridges strengthen the tire by linking the rubber polymer molecules.'}
| 5 |
4,706 |
["So long as the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, 'it is a common misconception that humility means knowing and accepting the truth about oneself' is true.", 'There is good reason to believe that either systems are the means for attaining strategic goals and objectives or if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then the claim that notebooks fill with stories does not correspond with reality.', 'Either one or both of these statements are true: asexual reproduction leads to diversity, or if journals are a particular kind of periodical that are cited differently than popular magazines, then riparian areas are the zones that border streams, springs, wet meadows, marshes and ponds.', "On the condition that asexual reproduction leads to diversity, it is definitely the case that if the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, then humility means knowing and accepting the truth about oneself.", "Given that if journals are a particular kind of periodical that are cited differently than popular magazines, then riparian areas are the zones that border streams, springs, wet meadows, marshes and ponds, it can be inferred that if the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, then humility means knowing and accepting the truth about oneself.", 'Provided that field trials are contests, we know that the statement that states systems are the means for attaining strategic goals and objectives is false.', 'Those that suggest field trials are contests are right.']
|
So long as the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, 'it is a common misconception that humility means knowing and accepting the truth about oneself' is true. There is good reason to believe that either systems are the means for attaining strategic goals and objectives or if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then the claim that notebooks fill with stories does not correspond with reality. Either one or both of these statements are true: asexual reproduction leads to diversity, or if journals are a particular kind of periodical that are cited differently than popular magazines, then riparian areas are the zones that border streams, springs, wet meadows, marshes and ponds. On the condition that asexual reproduction leads to diversity, it is definitely the case that if the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, then humility means knowing and accepting the truth about oneself. Given that if journals are a particular kind of periodical that are cited differently than popular magazines, then riparian areas are the zones that border streams, springs, wet meadows, marshes and ponds, it can be inferred that if the statement that 'if the claim that apes are perfect in the way anything is perfect that is completed has no merit, then notebooks fill with stories' is incorrect, then humility means knowing and accepting the truth about oneself. Provided that field trials are contests, we know that the statement that states systems are the means for attaining strategic goals and objectives is false. Those that suggest field trials are contests are right.
|
It is rational to agree that apes are perfect in the way anything is perfect that is completed .
|
Apes possess offspring.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (If (Not (If (Not [0].), then [1].).), then [2].).
If (If [5], then [6].), then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Not [1].).).
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Ponens:
If [7], then (Not [3].).
[7]
Therefore, Not [3]..
|
{0: 'Apes are perfect in the way anything is perfect that is completed .', 1: 'Notebooks fill with stories.', 2: 'Humility means knowing and accepting the truth about oneself.', 3: 'Systems are the means for attaining strategic goals and objectives.', 4: 'Asexual reproduction leads to diversity.', 5: 'Journals are a particular kind of periodical that are cited differently than popular magazines.', 6: 'Riparian areas are the zones that border streams, springs, wet meadows, marshes and ponds.', 7: 'Field trials are contests.'}
| 5 |
4,496 |
['On the condition that vegetation is very on the surface, it is definitely the case that careful hygiene can help reduce the spread of the infection.', 'We know that at least one of two things is true: employees create more realistic goals, or those that suggest careful hygiene can help reduce the spread of the infection are wrong.', 'It is a common misconception that employees create more realistic goals.', 'Given that the claim that either vegetation is very on the surface or teller isa person is false, it can be inferred that flurries have (part) ice crystal.', 'Should it be the case that the claim that either vegetation is very on the surface or teller isa person is false, it follows that the statement that states flurries have (part) ice crystal is false.', 'Either one or both of these statements are true: phasmids are herbivores, whereas mantids eat other animals, or if teller isa person, then either eclectics are philosophers or photos highlight plights.', 'The claim that phasmids are herbivores, whereas mantids eat other animals has no merit.']
|
On the condition that vegetation is very on the surface, it is definitely the case that careful hygiene can help reduce the spread of the infection. We know that at least one of two things is true: employees create more realistic goals, or those that suggest careful hygiene can help reduce the spread of the infection are wrong. It is a common misconception that employees create more realistic goals. Given that the claim that either vegetation is very on the surface or teller isa person is false, it can be inferred that flurries have (part) ice crystal. Should it be the case that the claim that either vegetation is very on the surface or teller isa person is false, it follows that the statement that states flurries have (part) ice crystal is false. Either one or both of these statements are true: phasmids are herbivores, whereas mantids eat other animals, or if teller isa person, then either eclectics are philosophers or photos highlight plights. The claim that phasmids are herbivores, whereas mantids eat other animals has no merit.
|
At least one of two things is true: eclectics are philosophers, or photos highlight plights.
|
Either an eclectic is a philosopher or photos illustrate significance.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4]. [SC1-2]
If [3], then [2].
If [4], then (Either [0] or [1].). [SC3-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [7].
If (Not (Either [3] or [4].).), then (Not [7].).
Therefore, Either [3] or [4]..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If [4], then (Either [0] or [1].).).
Not [6].
Therefore, If [4], then (Either [0] or [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5].
Therefore, Not [2]..
|
{0: 'Eclectics are philosophers.', 1: 'Photos highlight plights.', 2: 'Careful hygiene can help reduce the spread of the infection.', 3: 'Vegetation is very on the surface.', 4: 'Teller isa person.', 5: 'Employees create more realistic goals.', 6: 'Phasmids are herbivores, whereas mantids eat other animals.', 7: 'Flurries have (part) ice crystal.'}
| 5 |
4,558 |
['Should it be the case that the claim that sunlight brings warmth has no merit, it follows that the statement that states some soy proteins cause allergies is false.', 'Provided that most albatrosses defend sites, we know that if the claim that sunlight brings warmth has no merit, then apnea is defined as the absence of breathing.', 'It is rational to believe that either welfare programs are also an important safety net for women escaping domestic violence or religion is the proper moral custodian in society.', 'On the condition that welfare programs are also an important safety net for women escaping domestic violence, it is definitely the case that if apnea is defined as the absence of breathing, then some soy proteins cause allergies.', 'Once we know religion is the proper moral custodian in society, we also know that if apnea is defined as the absence of breathing, then some soy proteins cause allergies.', 'Should it be the case that some children understand own personal mortality, it follows that most albatrosses defend sites.', 'some children understand own personal mortality.']
|
Should it be the case that the claim that sunlight brings warmth has no merit, it follows that the statement that states some soy proteins cause allergies is false. Provided that most albatrosses defend sites, we know that if the claim that sunlight brings warmth has no merit, then apnea is defined as the absence of breathing. It is rational to believe that either welfare programs are also an important safety net for women escaping domestic violence or religion is the proper moral custodian in society. On the condition that welfare programs are also an important safety net for women escaping domestic violence, it is definitely the case that if apnea is defined as the absence of breathing, then some soy proteins cause allergies. Once we know religion is the proper moral custodian in society, we also know that if apnea is defined as the absence of breathing, then some soy proteins cause allergies. Should it be the case that some children understand own personal mortality, it follows that most albatrosses defend sites. some children understand own personal mortality.
|
The claim that sunlight brings warmth is true.
|
Most sunlight drives photosynthesis.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not [0].), then [2].).
[5] [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Modus Ponens:
If [6], then [5].
[6]
Therefore, [5].
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then [1].).
If [4], then (If [2], then [1].).
Therefore, If [2], then [1]..
|
{0: 'Sunlight brings warmth.', 1: 'Some soy proteins cause allergies.', 2: 'Apnea is defined as the absence of breathing.', 3: 'Welfare programs are also an important safety net for women escaping domestic violence.', 4: 'Religion is the proper moral custodian in society.', 5: 'Most albatrosses defend sites.', 6: 'Some children understand own personal mortality.'}
| 5 |
4,784 |
['Assuming some people take for granted the accessibility to birth control, condoms, and abortion, we know that carnivores present unique challenges for both research and management.', 'One may reasonably assume that if the claim that either if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required or some people take for granted the accessibility to birth control, condoms, and abortion does not correspond with reality, then birds have bright beaks.', 'Given that the claim that either if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required or some people take for granted the accessibility to birth control, condoms, and abortion does not correspond with reality, it can be inferred that those that suggest birds have bright beaks are wrong.', "On the condition that the statement 'if either faucets are capable of breaks or cholesterol is a waxy, fat-like substance carried in the blood, then if if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required, then carnivores present unique challenges for both research and management' can be considered false, it is definitely the case that most people generally think that cats do nothing, are lazy and all they do is eat and sleep.", "The statement 'most people generally think that cats do nothing, are lazy and all they do is eat and sleep' can be considered false.", 'Assuming either modern rifles use small calibre bullets or some fish live in lakes, we know that either faucets are capable of breaks or cholesterol is a waxy, fat-like substance carried in the blood.', 'We know that either modern rifles use small calibre bullets or some fish live in lakes.']
|
Assuming some people take for granted the accessibility to birth control, condoms, and abortion, we know that carnivores present unique challenges for both research and management. One may reasonably assume that if the claim that either if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required or some people take for granted the accessibility to birth control, condoms, and abortion does not correspond with reality, then birds have bright beaks. Given that the claim that either if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required or some people take for granted the accessibility to birth control, condoms, and abortion does not correspond with reality, it can be inferred that those that suggest birds have bright beaks are wrong. On the condition that the statement 'if either faucets are capable of breaks or cholesterol is a waxy, fat-like substance carried in the blood, then if if sail isa piece, then crop rotation is useful in increasing soil fertility, though inputs are often required, then carnivores present unique challenges for both research and management' can be considered false, it is definitely the case that most people generally think that cats do nothing, are lazy and all they do is eat and sleep. The statement 'most people generally think that cats do nothing, are lazy and all they do is eat and sleep' can be considered false. Assuming either modern rifles use small calibre bullets or some fish live in lakes, we know that either faucets are capable of breaks or cholesterol is a waxy, fat-like substance carried in the blood. We know that either modern rifles use small calibre bullets or some fish live in lakes.
|
The idea that carnivores present unique challenges for both research and management is true.
|
The idea that carnivores present unique challenges for both research and management is true.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [3].).), then [6].
If (Not (Either (If [1], then [2].) or [3].).), then (Not [6].).
Therefore, Either (If [1], then [2].) or [3]..
[SC2-1]
Modus Ponens:
If (Either [4] or [5].), then (If (If [1], then [2].), then [0].). [SC1-2]
Either [4] or [5]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (If (If [1], then [2].), then [0].).).), then [7].
Not [7].
Therefore, If (Either [4] or [5].), then (If (If [1], then [2].), then [0].)..
[SC2-2]
Modus Ponens:
If (Either [8] or [9].), then (Either [4] or [5].).
Either [8] or [9].
Therefore, Either [4] or [5]..
|
{0: 'Carnivores present unique challenges for both research and management.', 1: 'Sail isa piece.', 2: 'Crop rotation is useful in increasing soil fertility, though inputs are often required.', 3: 'Some people take for granted the accessibility to birth control, condoms, and abortion.', 4: 'Faucets are capable of breaks.', 5: 'Cholesterol is a waxy, fat-like substance carried in the blood.', 6: 'Birds have bright beaks.', 7: 'Most people generally think that cats do nothing, are lazy and all they do is eat and sleep.', 8: 'Modern rifles use small calibre bullets.', 9: 'Some fish live in lakes.'}
| 5 |
4,239 |
['When most body temperature impacts health conditions is true, it follows that some diets help kinds.', 'Provided that strength training is like weight lifting, we know that lobsters use gills to breathe.', 'Either one or both of these statements are true: climatologists compare major storms to similar ones of the past to help fine-tune future forecasts, or gas giants are astronomical objects.', 'If gas giants are astronomical objects, then if if most body temperature impacts health conditions, then some diets help kinds, then strength training is like weight lifting.', 'Given that corn is used for pop corn, it can be inferred that if climatologists compare major storms to similar ones of the past to help fine-tune future forecasts, then if if most body temperature impacts health conditions, then some diets help kinds, then strength training is like weight lifting.', 'Given that the statement that states corn is used for pop corn is false, it can be inferred that most matter passes through small intestines.', 'One may reasonably assume that if the statement that states corn is used for pop corn is false, then those that suggest most matter passes through small intestines are wrong.']
|
When most body temperature impacts health conditions is true, it follows that some diets help kinds. Provided that strength training is like weight lifting, we know that lobsters use gills to breathe. Either one or both of these statements are true: climatologists compare major storms to similar ones of the past to help fine-tune future forecasts, or gas giants are astronomical objects. If gas giants are astronomical objects, then if if most body temperature impacts health conditions, then some diets help kinds, then strength training is like weight lifting. Given that corn is used for pop corn, it can be inferred that if climatologists compare major storms to similar ones of the past to help fine-tune future forecasts, then if if most body temperature impacts health conditions, then some diets help kinds, then strength training is like weight lifting. Given that the statement that states corn is used for pop corn is false, it can be inferred that most matter passes through small intestines. One may reasonably assume that if the statement that states corn is used for pop corn is false, then those that suggest most matter passes through small intestines are wrong.
|
The statement 'lobsters use gills to breathe' can be considered true.
|
Some lobsters have gills.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [3]. [SC1-2]
If [3], then [0].
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (If [1], then [2].), then [3].). [SC2-3]
If [5], then (If (If [1], then [2].), then [3].).
Therefore, If (If [1], then [2].), then [3]..
[SC2-3]
Modus Ponens:
If [6], then (If [4], then (If (If [1], then [2].), then [3].).).
[6] [SC2-4]
Therefore, If [4], then (If (If [1], then [2].), then [3].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].).
Therefore, [6].
|
{0: 'Lobsters use gills to breathe.', 1: 'Most body temperature impacts health conditions.', 2: 'Some diets help kinds.', 3: 'Strength training is like weight lifting.', 4: 'Climatologists compare major storms to similar ones of the past to help fine-tune future forecasts.', 5: 'Gas giants are astronomical objects.', 6: 'Corn is used for pop corn.', 7: 'Most matter passes through small intestines.'}
| 5 |
4,578 |
['The claim that latent heat is the energy taken up by the air as water changes phase holds true.', 'Assuming latent heat is the energy taken up by the air as water changes phase, we know that many doctors consider invasive treatments.', "Whenever it is true that fear tends to be one of the basic emotions that repels our good, 'either most men have heart problems or if many doctors consider invasive treatments, then all nations have days they celebrate on account of some event in their history' is true.", 'The claim that fear tends to be one of the basic emotions that repels our good holds true.', 'When morays continually open and close their mouths, showing off their impressive teeth is true, it follows that the claim that most men have heart problems does not reflect reality.', 'It is a simple truth that morays continually open and close their mouths, showing off their impressive teeth.']
|
The claim that latent heat is the energy taken up by the air as water changes phase holds true. Assuming latent heat is the energy taken up by the air as water changes phase, we know that many doctors consider invasive treatments. Whenever it is true that fear tends to be one of the basic emotions that repels our good, 'either most men have heart problems or if many doctors consider invasive treatments, then all nations have days they celebrate on account of some event in their history' is true. The claim that fear tends to be one of the basic emotions that repels our good holds true. When morays continually open and close their mouths, showing off their impressive teeth is true, it follows that the claim that most men have heart problems does not reflect reality. It is a simple truth that morays continually open and close their mouths, showing off their impressive teeth.
|
We can assume that all nations have days they celebrate on account of some event in their history.
|
Nations make improvement.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2].
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [2], then [0].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If [2], then [0]..
[SC1-3]
Modus Ponens:
If [4], then (Either [3] or (If [2], then [0].).).
[4]
Therefore, Either [3] or (If [2], then [0].)..
[SC2-3]
Modus Ponens:
If [5], then (Not [3].).
[5]
Therefore, Not [3]..
|
{0: 'All nations have days they celebrate on account of some event in their history.', 1: 'Latent heat is the energy taken up by the air as water changes phase.', 2: 'Many doctors consider invasive treatments.', 3: 'Most men have heart problems.', 4: 'Fear tends to be one of the basic emotions that repels our good.', 5: 'Morays continually open and close their mouths, showing off their impressive teeth.'}
| 5 |
4,055 |
['If goats naturally have horns with only the occasional goat being polled naturally hornless, then either bears adapt to environments or if an analog is similarity, then some folic acid is synthesized by bacteria in the intestines.', 'We can assume that goats naturally have horns with only the occasional goat being polled naturally hornless.', 'Assuming leather is primarily a by-product from an animal used for food, we know that the claim that either energy is power or streams are located in countrysides has no merit.', 'Assuming if an analog is similarity, then some folic acid is synthesized by bacteria in the intestines, we know that mealybugs are the major pest problem for houseplants.', 'Once we know mealybugs are the major pest problem for houseplants, we also know that the claim that either energy is power or streams are located in countrysides has no merit.', 'Should it be the case that some diets help kidneys, it follows that if bears adapt to environments, then leather is primarily a by-product from an animal used for food.', 'It is a simple truth that some diets help kidneys.']
|
If goats naturally have horns with only the occasional goat being polled naturally hornless, then either bears adapt to environments or if an analog is similarity, then some folic acid is synthesized by bacteria in the intestines. We can assume that goats naturally have horns with only the occasional goat being polled naturally hornless. Assuming leather is primarily a by-product from an animal used for food, we know that the claim that either energy is power or streams are located in countrysides has no merit. Assuming if an analog is similarity, then some folic acid is synthesized by bacteria in the intestines, we know that mealybugs are the major pest problem for houseplants. Once we know mealybugs are the major pest problem for houseplants, we also know that the claim that either energy is power or streams are located in countrysides has no merit. Should it be the case that some diets help kidneys, it follows that if bears adapt to environments, then leather is primarily a by-product from an animal used for food. It is a simple truth that some diets help kidneys.
|
The claim that either energy is power or streams are located in countrysides has no merit.
|
Either one or both of these statements are true: energy is power, or streams are located in countrysides.
|
FALSE
|
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-1]
If [2], then (Not (Either [0] or [1].).). [SC2-1]
If (If [3], then [4].), then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If [5], then (Either [2] or (If [3], then [4].).).
[5]
Therefore, Either [2] or (If [3], then [4].)..
[SC2-1]
Hypothetical Syllogism:
If [2], then [6]. [SC1-2]
If [6], then (Not (Either [0] or [1].).).
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Modus Ponens:
If [8], then (If [2], then [6].).
[8]
Therefore, If [2], then [6]..
[SC3-1]
Hypothetical Syllogism:
If (If [3], then [4].), then [7].
If [7], then (Not (Either [0] or [1].).).
Therefore, If (If [3], then [4].), then (Not (Either [0] or [1].).)..
|
{0: 'Energy is power.', 1: 'Streams are located in countrysides.', 2: 'Bears adapt to environments.', 3: 'An analog is similarity.', 4: 'Some folic acid is synthesized by bacteria in the intestines.', 5: 'Goats naturally have horns with only the occasional goat being polled naturally hornless.', 6: 'Leather is primarily a by-product from an animal used for food.', 7: 'Mealybugs are the major pest problem for houseplants.', 8: 'Some diets help kidneys.'}
| 5 |
4,906 |
["The statement 'silkies are a very game breed, full of bravado and have strong guarding instincts' can be considered false.", 'The claim that civic entrepreneurs know how to work with people to get results is false.', 'When those that suggest either if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone or if the claim that either silkies are a very game breed, full of bravado and have strong guarding instincts or numerous species render oils that result in flavorings is false, then civic entrepreneurs know how to work with people to get results are wrong is true, it follows that fluff pulp is used primarily in the manufacture of disposable diapers and other sanitary items.', 'Should it be the case that those that suggest either if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone or if the claim that either silkies are a very game breed, full of bravado and have strong guarding instincts or numerous species render oils that result in flavorings is false, then civic entrepreneurs know how to work with people to get results are wrong, it follows that we know that the claim that fluff pulp is used primarily in the manufacture of disposable diapers and other sanitary items is false.', 'It is a fact that either most cattle survive infection or people get diets.', "Provided that most cattle survive infection, we know that the statement 'if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone' can be considered false.", "On the condition that people get diets, it is definitely the case that the statement 'if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone' can be considered false."]
|
The statement 'silkies are a very game breed, full of bravado and have strong guarding instincts' can be considered false. The claim that civic entrepreneurs know how to work with people to get results is false. When those that suggest either if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone or if the claim that either silkies are a very game breed, full of bravado and have strong guarding instincts or numerous species render oils that result in flavorings is false, then civic entrepreneurs know how to work with people to get results are wrong is true, it follows that fluff pulp is used primarily in the manufacture of disposable diapers and other sanitary items. Should it be the case that those that suggest either if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone or if the claim that either silkies are a very game breed, full of bravado and have strong guarding instincts or numerous species render oils that result in flavorings is false, then civic entrepreneurs know how to work with people to get results are wrong, it follows that we know that the claim that fluff pulp is used primarily in the manufacture of disposable diapers and other sanitary items is false. It is a fact that either most cattle survive infection or people get diets. Provided that most cattle survive infection, we know that the statement 'if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone' can be considered false. On the condition that people get diets, it is definitely the case that the statement 'if form is the structure of dance, then all mammals are vertebrate animals, which means they have a backbone' can be considered false.
|
It is reasonable to believe that numerous species render oils that result in flavorings.
|
The statement that 'numerous species render oils that result in flavorings' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2]. [SC1-2]
Not [2].
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (Not (Either [1] or [0].).), then [2].). [SC1-3]
Not (If [3], then [4].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [3], then [4].) or (If (Not (Either [1] or [0].).), then [2].).).), then [5].
If (Not (Either (If [3], then [4].) or (If (Not (Either [1] or [0].).), then [2].).).), then (Not [5].).
Therefore, Either (If [3], then [4].) or (If (Not (Either [1] or [0].).), then [2].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not (If [3], then [4].).).
If [7], then (Not (If [3], then [4].).).
Therefore, Not (If [3], then [4].)..
|
{0: 'Numerous species render oils that result in flavorings.', 1: 'Silkies are a very game breed, full of bravado and have strong guarding instincts.', 2: 'Civic entrepreneurs know how to work with people to get results.', 3: 'Form is the structure of dance.', 4: 'All mammals are vertebrate animals, which means they have a backbone.', 5: 'Fluff pulp is used primarily in the manufacture of disposable diapers and other sanitary items.', 6: 'Most cattle survive infection.', 7: 'People get diets.'}
| 5 |
4,175 |
['If if elders are very marginalized in our society, but they are a repository of knowledge and experience, then white colobus monkeys have babies, then if vitamin D is an important factor in calcium absorption, then mythology is social anthropology.', 'Assuming biologists acknowledge pollution, we know that if vitamin D is an important factor in calcium absorption, then mythology is social anthropology.', 'Provided that mythology is social anthropology, we know that energy has movement.', 'On the condition that phytoplankton are the primary producers in the Antarctic marine food web, it is definitely the case that either if elders are very marginalized in our society, but they are a repository of knowledge and experience, then white colobus monkeys have babies or biologists acknowledge pollution.', 'The claim that phytoplankton are the primary producers in the Antarctic marine food web is true.', 'It is rational to believe that either if a blueberry bush is a bush, then snow flakes have lower moisture and higher air content than other types of precipitation or if mythology is social anthropology, then the statement, energy has movement, does not hold.', "The statement that 'if a blueberry bush is a bush, then snow flakes have lower moisture and higher air content than other types of precipitation' is incorrect."]
|
If if elders are very marginalized in our society, but they are a repository of knowledge and experience, then white colobus monkeys have babies, then if vitamin D is an important factor in calcium absorption, then mythology is social anthropology. Assuming biologists acknowledge pollution, we know that if vitamin D is an important factor in calcium absorption, then mythology is social anthropology. Provided that mythology is social anthropology, we know that energy has movement. On the condition that phytoplankton are the primary producers in the Antarctic marine food web, it is definitely the case that either if elders are very marginalized in our society, but they are a repository of knowledge and experience, then white colobus monkeys have babies or biologists acknowledge pollution. The claim that phytoplankton are the primary producers in the Antarctic marine food web is true. It is rational to believe that either if a blueberry bush is a bush, then snow flakes have lower moisture and higher air content than other types of precipitation or if mythology is social anthropology, then the statement, energy has movement, does not hold. The statement that 'if a blueberry bush is a bush, then snow flakes have lower moisture and higher air content than other types of precipitation' is incorrect.
|
Some people mistakenly believe that vitamin D is an important factor in calcium absorption.
|
It is not the case that vitamin D helps build strong bones and teeth, and ensures muscle and nerve function.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (If [0], then [1].).
If [5], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If [6], then (Either (If [3], then [4].) or [5].).
[6]
Therefore, Either (If [3], then [4].) or [5]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [1], then (Not [2].).).
Not (If [7], then [8].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Vitamin D is an important factor in calcium absorption.', 1: 'Mythology is social anthropology.', 2: 'Energy has movement.', 3: 'Elders are very marginalized in our society, but they are a repository of knowledge and experience.', 4: 'White colobus monkeys have babies.', 5: 'Biologists acknowledge pollution.', 6: 'Phytoplankton are the primary producers in the Antarctic marine food web.', 7: 'A blueberry bush is a bush.', 8: 'Snow flakes have lower moisture and higher air content than other types of precipitation.'}
| 5 |
4,014 |
['Provided that it is not true that most porcupines has-part tongues, we know that prescription medications are the most cost-effective form of health care.', 'Should it be the case that prescription medications are the most cost-effective form of health care, it follows that cytologists are biologists.', 'Should it be the case that sea cucumbers eat plankton and other organic matter, it follows that if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false.', "Whenever it is true that it is a common misconception that either sea cucumbers eat plankton and other organic matter or radiation can therefore transport heat from a hotter to a cooler object, 'some materials contain powerful solvent' is true.", 'The claim that some materials contain powerful solvent does not reflect reality.', 'Either treatments have significant effects or if anacondas are boas, then bunks are the ideal choice of bed for older children.', "Whenever it is true that treatments have significant effects, 'if radiation can therefore transport heat from a hotter to a cooler object, then if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false' is true.", "Whenever it is true that if anacondas are boas, then bunks are the ideal choice of bed for older children, 'if radiation can therefore transport heat from a hotter to a cooler object, then if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false' is true."]
|
Provided that it is not true that most porcupines has-part tongues, we know that prescription medications are the most cost-effective form of health care. Should it be the case that prescription medications are the most cost-effective form of health care, it follows that cytologists are biologists. Should it be the case that sea cucumbers eat plankton and other organic matter, it follows that if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false. Whenever it is true that it is a common misconception that either sea cucumbers eat plankton and other organic matter or radiation can therefore transport heat from a hotter to a cooler object, 'some materials contain powerful solvent' is true. The claim that some materials contain powerful solvent does not reflect reality. Either treatments have significant effects or if anacondas are boas, then bunks are the ideal choice of bed for older children. Whenever it is true that treatments have significant effects, 'if radiation can therefore transport heat from a hotter to a cooler object, then if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false' is true. Whenever it is true that if anacondas are boas, then bunks are the ideal choice of bed for older children, 'if radiation can therefore transport heat from a hotter to a cooler object, then if it is not true that most porcupines has-part tongues, then the claim that cytologists are biologists is false' is true.
|
The statement 'most porcupines has-part tongues' is true.
|
Some people mistakenly believe that most porcupines has-part tongues.
|
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 [4].
If [4], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5].
Not [5].
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [3], then (If (Not [0].), then (Not [1].).).).
If (If [7], then [8].), then (If [3], then (If (Not [0].), then (Not [1].).).).
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Most porcupines has-part tongues.', 1: 'Cytologists are biologists.', 2: 'Sea cucumbers eat plankton and other organic matter.', 3: 'Radiation can therefore transport heat from a hotter to a cooler object.', 4: 'Prescription medications are the most cost-effective form of health care.', 5: 'Some materials contain powerful solvent.', 6: 'Treatments have significant effects.', 7: 'Anacondas are boas.', 8: 'Bunks are the ideal choice of bed for older children.'}
| 5 |
4,077 |
['Either one or both of these statements are true: most tortoises have thick shells, or deity is synonymous with bodhicitta.', 'It is rational to agree that suppliers to provide solutions.', "Whenever it is true that the statement that 'if the notion that 'if suppliers to provide solutions, then it is not true that most tortoises have thick shells' is untrue, then beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out' is incorrect, 'biotechnology is an international boom industry' is true.", 'The claim that biotechnology is an international boom industry does not correspond with reality.', 'Either either food is one part of the treatment for diabetes or death is the end of sensation, the absence of life or most bipolar children have attention-deficit hyperactivity disorder .', 'Once we know either food is one part of the treatment for diabetes or death is the end of sensation, the absence of life, we also know that those that suggest beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out are wrong.', "So long as most bipolar children have attention-deficit hyperactivity disorder , 'those that suggest beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out are wrong' is true."]
|
Either one or both of these statements are true: most tortoises have thick shells, or deity is synonymous with bodhicitta. It is rational to agree that suppliers to provide solutions. Whenever it is true that the statement that 'if the notion that 'if suppliers to provide solutions, then it is not true that most tortoises have thick shells' is untrue, then beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out' is incorrect, 'biotechnology is an international boom industry' is true. The claim that biotechnology is an international boom industry does not correspond with reality. Either either food is one part of the treatment for diabetes or death is the end of sensation, the absence of life or most bipolar children have attention-deficit hyperactivity disorder . Once we know either food is one part of the treatment for diabetes or death is the end of sensation, the absence of life, we also know that those that suggest beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out are wrong. So long as most bipolar children have attention-deficit hyperactivity disorder , 'those that suggest beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out are wrong' is true.
|
Those that suggest deity is synonymous with bodhicitta are right.
|
The claim that deity is synonymous with bodhicitta does not correspond with reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then (Not [1].).).), then [3].).), then [4].
Not [4].
Therefore, If (Not (If [2], then (Not [1].).).), then [3]..
[SC2-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Deity is synonymous with bodhicitta.', 1: 'Most tortoises have thick shells.', 2: 'Suppliers to provide solutions.', 3: 'Beavers like to stay out in the rain because their fur acts like a raincoat - keeps water out.', 4: 'Biotechnology is an international boom industry.', 5: 'Food is one part of the treatment for diabetes.', 6: 'Death is the end of sensation, the absence of life.', 7: 'Most bipolar children have attention-deficit hyperactivity disorder .'}
| 5 |
4,031 |
['There is good reason to believe that either either chipmunks lead primarily solitary lives or water is a valuable resource that sustains our industry, our natural diversity, and our health or technology is an evolutionary process.', 'One may reasonably assume that if either chipmunks lead primarily solitary lives or water is a valuable resource that sustains our industry, our natural diversity, and our health, then noodle soup is more a noodle dish rather than a soup dish.', 'When technology is an evolutionary process is true, it follows that pythium also can rot the base of unrooted cuttings.', 'We know that at least one of two things is true: some tetrapods have terrestrial ancestors, or if noodle soup is more a noodle dish rather than a soup dish, then most bobcats subsist on diets.', 'Should it be the case that the statement that states if pythium also can rot the base of unrooted cuttings, then most bobcats subsist on diets is false, it follows that proteins are built up of chains of amino acids that are freed and adsorbed in the intestine.', "The statement that 'proteins are built up of chains of amino acids that are freed and adsorbed in the intestine' is incorrect.", 'We know that either either irregular preterits are irregular because of the way they evolved from Latin or psychopaths are unemotional or the statement that states some tetrapods have terrestrial ancestors is false.', "The statement 'either irregular preterits are irregular because of the way they evolved from Latin or psychopaths are unemotional' can be considered false."]
|
There is good reason to believe that either either chipmunks lead primarily solitary lives or water is a valuable resource that sustains our industry, our natural diversity, and our health or technology is an evolutionary process. One may reasonably assume that if either chipmunks lead primarily solitary lives or water is a valuable resource that sustains our industry, our natural diversity, and our health, then noodle soup is more a noodle dish rather than a soup dish. When technology is an evolutionary process is true, it follows that pythium also can rot the base of unrooted cuttings. We know that at least one of two things is true: some tetrapods have terrestrial ancestors, or if noodle soup is more a noodle dish rather than a soup dish, then most bobcats subsist on diets. Should it be the case that the statement that states if pythium also can rot the base of unrooted cuttings, then most bobcats subsist on diets is false, it follows that proteins are built up of chains of amino acids that are freed and adsorbed in the intestine. The statement that 'proteins are built up of chains of amino acids that are freed and adsorbed in the intestine' is incorrect. We know that either either irregular preterits are irregular because of the way they evolved from Latin or psychopaths are unemotional or the statement that states some tetrapods have terrestrial ancestors is false. The statement 'either irregular preterits are irregular because of the way they evolved from Latin or psychopaths are unemotional' can be considered false.
|
The statement that states most bobcats subsist on diets is right.
|
The statement, most bobcats subsist on diets, does not hold.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then [1].
If [6], then [2].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Not [3].).
Not (Either [8] or [9].).
Therefore, Not [3]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [7].
Not [7].
Therefore, If [2], then [0]..
|
{0: 'Most bobcats subsist on diets.', 1: 'Noodle soup is more a noodle dish rather than a soup dish.', 2: 'Pythium also can rot the base of unrooted cuttings.', 3: 'Some tetrapods have terrestrial ancestors.', 4: 'Chipmunks lead primarily solitary lives.', 5: 'Water is a valuable resource that sustains our industry, our natural diversity, and our health.', 6: 'Technology is an evolutionary process.', 7: 'Proteins are built up of chains of amino acids that are freed and adsorbed in the intestine.', 8: 'Irregular preterits are irregular because of the way they evolved from Latin.', 9: 'Psychopaths are unemotional.'}
| 5 |
4,481 |
['On the condition that bugs move about in the world, gather food and avoid poison, it is definitely the case that men are more likely to develop knobby bumps on the nose, called rhinophyma.', 'Provided that men are more likely to develop knobby bumps on the nose, called rhinophyma, we know that all catfish have long barbels and smooth, scaleless skin.', 'Given that trouble falling asleep orstaying asleep is a common symptom of generalized anxiety disorder, it can be inferred that if all catfish have long barbels and smooth, scaleless skin, then database managers are software.', 'The idea that trouble falling asleep orstaying asleep is a common symptom of generalized anxiety disorder is true.', 'Assuming database managers are software, we know that cream is used for skin.', 'Given that database managers are software, it can be inferred that we know that the claim that cream is used for skin is false.']
|
On the condition that bugs move about in the world, gather food and avoid poison, it is definitely the case that men are more likely to develop knobby bumps on the nose, called rhinophyma. Provided that men are more likely to develop knobby bumps on the nose, called rhinophyma, we know that all catfish have long barbels and smooth, scaleless skin. Given that trouble falling asleep orstaying asleep is a common symptom of generalized anxiety disorder, it can be inferred that if all catfish have long barbels and smooth, scaleless skin, then database managers are software. The idea that trouble falling asleep orstaying asleep is a common symptom of generalized anxiety disorder is true. Assuming database managers are software, we know that cream is used for skin. Given that database managers are software, it can be inferred that we know that the claim that cream is used for skin is false.
|
The statement 'bugs move about in the world, gather food and avoid poison' can be considered false.
|
The claim that bugs gather in sunny locations in Fall does not reflect reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1].
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [1], then [3].).
[5]
Therefore, If [1], then [3]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
|
{0: 'Bugs move about in the world, gather food and avoid poison.', 1: 'All catfish have long barbels and smooth, scaleless skin.', 2: 'Men are more likely to develop knobby bumps on the nose, called rhinophyma.', 3: 'Database managers are software.', 4: 'Cream is used for skin.', 5: 'Trouble falling asleep orstaying asleep is a common symptom of generalized anxiety disorder.'}
| 5 |
4,310 |
["Whenever it is true that we know that the claim that if quinine sulfate darkens on exposure to light, then the statement that 'people are bisexuals' is incorrect is false, 'lizards eat a variety of plants and plant parts' is true.", 'Those that suggest lizards eat a variety of plants and plant parts are wrong.', "When if prescription medicines have directions just for the person whose name is on the label, then antibodies react with cellular proteins is true, it follows that if the statement 'if quinine sulfate darkens on exposure to light, then people are bisexuals' can be considered false, then most women have fans and lace veils over their hair.", 'Assuming prescription medicines have directions just for the person whose name is on the label, we know that antibodies react with cellular proteins.', "If the statement 'if quinine sulfate darkens on exposure to light, then people are bisexuals' can be considered false, then carotid surgery is one way surgeons eliminate the blockage.", 'One may reasonably assume that if carotid surgery is one way surgeons eliminate the blockage, then the claim that most women have fans and lace veils over their hair does not correspond with reality.']
|
Whenever it is true that we know that the claim that if quinine sulfate darkens on exposure to light, then the statement that 'people are bisexuals' is incorrect is false, 'lizards eat a variety of plants and plant parts' is true. Those that suggest lizards eat a variety of plants and plant parts are wrong. When if prescription medicines have directions just for the person whose name is on the label, then antibodies react with cellular proteins is true, it follows that if the statement 'if quinine sulfate darkens on exposure to light, then people are bisexuals' can be considered false, then most women have fans and lace veils over their hair. Assuming prescription medicines have directions just for the person whose name is on the label, we know that antibodies react with cellular proteins. If the statement 'if quinine sulfate darkens on exposure to light, then people are bisexuals' can be considered false, then carotid surgery is one way surgeons eliminate the blockage. One may reasonably assume that if carotid surgery is one way surgeons eliminate the blockage, then the claim that most women have fans and lace veils over their hair does not correspond with reality.
|
We know that the claim that quinine sulfate darkens on exposure to light is false.
|
It is not true that quinine sulfate is extensively metabolized, mainly in the liver.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If (Not (If [0], then [1].).), then [2].).
If [4], then [5].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [6].
If [6], then (Not [2].).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [3].
Not [3].
Therefore, If [0], then (Not [1].)..
|
{0: 'Quinine sulfate darkens on exposure to light.', 1: 'People are bisexuals.', 2: 'Most women have fans and lace veils over their hair.', 3: 'Lizards eat a variety of plants and plant parts.', 4: 'Prescription medicines have directions just for the person whose name is on the label.', 5: 'Antibodies react with cellular proteins.', 6: 'Carotid surgery is one way surgeons eliminate the blockage.'}
| 5 |
4,311 |
["Whenever it is true that either moths have (part) cells or orchids grow on trees, in the ground or in the home, 'either if helmets offer head protection, then growth hormone is an important hormone that declines with aging or pain associates with compartment syndromes' is true.", 'Either moths have (part) cells or orchids grow on trees, in the ground or in the home.', 'When the statement that states if if helmets offer head protection, then growth hormone is an important hormone that declines with aging, then those that suggest leadership is a skill that can be developed and nurtured are wrong is false is true, it follows that ice is crystal.', 'We know that the claim that ice is crystal is false.', 'When pain associates with compartment syndromes is true, it follows that if some eggs are located in birds, then some gases enter abdomens.', 'Either one or both of these statements are true: spectators have (part) sections, or if if some eggs are located in birds, then some gases enter abdomens, then those that suggest leadership is a skill that can be developed and nurtured are wrong.', 'Some people mistakenly believe that spectators have (part) sections.']
|
Whenever it is true that either moths have (part) cells or orchids grow on trees, in the ground or in the home, 'either if helmets offer head protection, then growth hormone is an important hormone that declines with aging or pain associates with compartment syndromes' is true. Either moths have (part) cells or orchids grow on trees, in the ground or in the home. When the statement that states if if helmets offer head protection, then growth hormone is an important hormone that declines with aging, then those that suggest leadership is a skill that can be developed and nurtured are wrong is false is true, it follows that ice is crystal. We know that the claim that ice is crystal is false. When pain associates with compartment syndromes is true, it follows that if some eggs are located in birds, then some gases enter abdomens. Either one or both of these statements are true: spectators have (part) sections, or if if some eggs are located in birds, then some gases enter abdomens, then those that suggest leadership is a skill that can be developed and nurtured are wrong. Some people mistakenly believe that spectators have (part) sections.
|
Those that suggest leadership is a skill that can be developed and nurtured are wrong.
|
Those that suggest leadership is a skill that can be developed and nurtured are right.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (Either [4] or [5].), then (Either (If [1], then [2].) or [3].).
Either [4] or [5].
Therefore, Either (If [1], then [2].) or [3]..
[SC2-1]
Modus Tonens:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [6].
Not [6].
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC3-1]
Hypothetical Syllogism:
If [3], then (If [7], then [8].).
If (If [7], then [8].), then (Not [0].). [SC2-2]
Therefore, If [3], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If (If [7], then [8].), then (Not [0].).).
Not [9].
Therefore, If (If [7], then [8].), then (Not [0].)..
|
{0: 'Leadership is a skill that can be developed and nurtured.', 1: 'Helmets offer head protection.', 2: 'Growth hormone is an important hormone that declines with aging.', 3: 'Pain associates with compartment syndromes.', 4: 'Moths have (part) cells.', 5: 'Orchids grow on trees, in the ground or in the home.', 6: 'Ice is crystal.', 7: 'Some eggs are located in birds.', 8: 'Some gases enter abdomens.', 9: 'Spectators have (part) sections.'}
| 5 |
4,883 |
['Either squirrels have (part) rib cages or the claim that heart is the source of love, and it is the core of personality has no merit.', "If the claim that if squirrels have (part) rib cages, then inhalers are devices that help spray medication into a child's lungs does not correspond with reality, then biological viruses are similar.", "One may reasonably assume that if the claim that if squirrels have (part) rib cages, then inhalers are devices that help spray medication into a child's lungs does not correspond with reality, then those that suggest biological viruses are similar are wrong.", "Once we know the claim that if squirrels have (part) rib cages, then the notion that 'inhalers are devices that help spray medication into a child's lungs' is untrue has no merit, we also know that acute leukemia affects immature white blood cells and is most often seen in children.", "If newsagents carry magazines, then if the claim that if squirrels have (part) rib cages, then the notion that 'inhalers are devices that help spray medication into a child's lungs' is untrue has no merit, then the claim that acute leukemia affects immature white blood cells and is most often seen in children has no merit.", "The statement 'newsagents carry magazines' can be considered true."]
|
Either squirrels have (part) rib cages or the claim that heart is the source of love, and it is the core of personality has no merit. If the claim that if squirrels have (part) rib cages, then inhalers are devices that help spray medication into a child's lungs does not correspond with reality, then biological viruses are similar. One may reasonably assume that if the claim that if squirrels have (part) rib cages, then inhalers are devices that help spray medication into a child's lungs does not correspond with reality, then those that suggest biological viruses are similar are wrong. Once we know the claim that if squirrels have (part) rib cages, then the notion that 'inhalers are devices that help spray medication into a child's lungs' is untrue has no merit, we also know that acute leukemia affects immature white blood cells and is most often seen in children. If newsagents carry magazines, then if the claim that if squirrels have (part) rib cages, then the notion that 'inhalers are devices that help spray medication into a child's lungs' is untrue has no merit, then the claim that acute leukemia affects immature white blood cells and is most often seen in children has no merit. The statement 'newsagents carry magazines' can be considered true.
|
The claim that heart is the source of love, and it is the core of personality has no merit.
|
The claim that heart is the source of love, and it is the core of personality has no merit.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
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]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then [3].
If (Not (If [1], then (Not [2].).).), then (Not [3].). [SC2-3]
Therefore, If [1], then (Not [2].)..
[SC2-3]
Modus Ponens:
If [5], then (If (Not (If [1], then (Not [2].).).), then (Not [3].).).
[5]
Therefore, If (Not (If [1], then (Not [2].).).), then (Not [3].)..
|
{0: 'Heart is the source of love, and it is the core of personality.', 1: 'Squirrels have (part) rib cages.', 2: "Inhalers are devices that help spray medication into a child's lungs.", 3: 'Acute leukemia affects immature white blood cells and is most often seen in children.', 4: 'Biological viruses are similar.', 5: 'Newsagents carry magazines.'}
| 5 |
4,788 |
['The statement that states if most scorpions hide under logs, rocks, boards and clutter, then vietnamese has (part) plasma membranes is false.', 'Given that decomposition is the breakdown of organic molecules into inorganic molecules, it can be inferred that if either face flies are closely related and similar in appearance to house flies but have different habitats or some prey serves as food, then if most scorpions hide under logs, rocks, boards and clutter, then vietnamese has (part) plasma membranes.', "Provided that the statement 'decomposition is the breakdown of organic molecules into inorganic molecules' can be considered false, we know that some chinchillas eat hay.", 'The statement that states most flowers grow in shady areas is false.', "It is a fact that either most salamanders has-part toes or if the statement that states if the statement 'decomposition is the breakdown of organic molecules into inorganic molecules' can be considered false, then the statement that states some chinchillas eat hay is false is false, then most flowers grow in shady areas.", 'The claim that most salamanders has-part toes does not correspond with reality.']
|
The statement that states if most scorpions hide under logs, rocks, boards and clutter, then vietnamese has (part) plasma membranes is false. Given that decomposition is the breakdown of organic molecules into inorganic molecules, it can be inferred that if either face flies are closely related and similar in appearance to house flies but have different habitats or some prey serves as food, then if most scorpions hide under logs, rocks, boards and clutter, then vietnamese has (part) plasma membranes. Provided that the statement 'decomposition is the breakdown of organic molecules into inorganic molecules' can be considered false, we know that some chinchillas eat hay. The statement that states most flowers grow in shady areas is false. It is a fact that either most salamanders has-part toes or if the statement that states if the statement 'decomposition is the breakdown of organic molecules into inorganic molecules' can be considered false, then the statement that states some chinchillas eat hay is false is false, then most flowers grow in shady areas. The claim that most salamanders has-part toes does not correspond with reality.
|
The claim that either face flies are closely related and similar in appearance to house flies but have different habitats or some prey serves as food is false.
|
Either face flies are closely related and similar in appearance to house flies but have different habitats or some prey serves as food.
|
FALSE
|
Modus Tonens:
If (Either [0] or [1].), then (If [2], then [3].). [SC1-1]
Not (If [2], then [3].).
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If [4], then (If (Either [0] or [1].), then (If [2], then [3].).).
[4] [SC2-2]
Therefore, If (Either [0] or [1].), then (If [2], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [5].
If (Not [4].), then (Not [5].). [SC2-3]
Therefore, [4].
[SC2-3]
Modus Tonens:
If (Not (If (Not [4].), then (Not [5].).).), then [6]. [SC1-4]
Not [6].
Therefore, If (Not [4].), then (Not [5].)..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Not [4].), then (Not [5].).).), then [6].).
Not [7].
Therefore, If (Not (If (Not [4].), then (Not [5].).).), then [6]..
|
{0: 'Face flies are closely related and similar in appearance to house flies but have different habitats.', 1: 'Some prey serves as food.', 2: 'Most scorpions hide under logs, rocks, boards and clutter.', 3: 'Vietnamese has (part) plasma membranes.', 4: 'Decomposition is the breakdown of organic molecules into inorganic molecules.', 5: 'Some chinchillas eat hay.', 6: 'Most flowers grow in shady areas.', 7: 'Most salamanders has-part toes.'}
| 5 |
4,045 |
['Should it be the case that many mammals have swimming movements identical with their terrestrial limb movements, it follows that most humans kill prey.', "Provided that rats eat crops, we know that the notion that 'most humans kill prey' is untrue.", 'If those that suggest if those that suggest rats eat crops are wrong, then writing is in itself the act of being attentive to experience are wrong, then transformation matrices define the mathematical mapping from one coordinate space into another.', "Given that those that suggest if those that suggest rats eat crops are wrong, then writing is in itself the act of being attentive to experience are wrong, it can be inferred that the statement that 'transformation matrices define the mathematical mapping from one coordinate space into another' is incorrect.", "One may reasonably assume that if the claim that if those that suggest rats eat crops are wrong, then the notion that 'writing is in itself the act of being attentive to experience' is untrue has no merit, then image compression is achieved by decorrelating the pixels of an image.", 'Some people mistakenly believe that image compression is achieved by decorrelating the pixels of an image.']
|
Should it be the case that many mammals have swimming movements identical with their terrestrial limb movements, it follows that most humans kill prey. Provided that rats eat crops, we know that the notion that 'most humans kill prey' is untrue. If those that suggest if those that suggest rats eat crops are wrong, then writing is in itself the act of being attentive to experience are wrong, then transformation matrices define the mathematical mapping from one coordinate space into another. Given that those that suggest if those that suggest rats eat crops are wrong, then writing is in itself the act of being attentive to experience are wrong, it can be inferred that the statement that 'transformation matrices define the mathematical mapping from one coordinate space into another' is incorrect. One may reasonably assume that if the claim that if those that suggest rats eat crops are wrong, then the notion that 'writing is in itself the act of being attentive to experience' is untrue has no merit, then image compression is achieved by decorrelating the pixels of an image. Some people mistakenly believe that image compression is achieved by decorrelating the pixels of an image.
|
We know that the claim that many mammals have swimming movements identical with their terrestrial limb movements is false.
|
The claim that some mammals have stomach bacteria is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [3]. [SC1-3]
If (Not [2].), then (Not [3].). [SC2-3]
Therefore, [2].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then [3].).), then [4].
If (Not (If (Not [2].), then [3].).), then (Not [4].).
Therefore, If (Not [2].), then [3]..
[SC2-3]
Modus Tonens:
If (Not (If (Not [2].), then (Not [3].).).), then [5].
Not [5].
Therefore, If (Not [2].), then (Not [3].)..
|
{0: 'Many mammals have swimming movements identical with their terrestrial limb movements.', 1: 'Most humans kill prey.', 2: 'Rats eat crops.', 3: 'Writing is in itself the act of being attentive to experience.', 4: 'Transformation matrices define the mathematical mapping from one coordinate space into another.', 5: 'Image compression is achieved by decorrelating the pixels of an image.'}
| 5 |
4,103 |
['Given that those that suggest either deforestation occurs around the world, though tropical rainforests are particularly targeted or b vitamins find in food are wrong, it can be inferred that bats have remarkably large lungs.', 'The claim that adequate sleep helps as well, since sleep helps regulate hormone levels does not reflect reality.', 'We know that either primates have two sub orders they are divided into or if those that suggest either deforestation occurs around the world, though tropical rainforests are particularly targeted or b vitamins find in food are wrong, then we know that the claim that bats have remarkably large lungs is false.', 'We know that the claim that primates have two sub orders they are divided into is false.', 'Assuming storm drains empty directly into a body of water, we know that if deforestation occurs around the world, though tropical rainforests are particularly targeted, then adequate sleep helps as well, since sleep helps regulate hormone levels.', 'It is a simple truth that storm drains empty directly into a body of water.']
|
Given that those that suggest either deforestation occurs around the world, though tropical rainforests are particularly targeted or b vitamins find in food are wrong, it can be inferred that bats have remarkably large lungs. The claim that adequate sleep helps as well, since sleep helps regulate hormone levels does not reflect reality. We know that either primates have two sub orders they are divided into or if those that suggest either deforestation occurs around the world, though tropical rainforests are particularly targeted or b vitamins find in food are wrong, then we know that the claim that bats have remarkably large lungs is false. We know that the claim that primates have two sub orders they are divided into is false. Assuming storm drains empty directly into a body of water, we know that if deforestation occurs around the world, though tropical rainforests are particularly targeted, then adequate sleep helps as well, since sleep helps regulate hormone levels. It is a simple truth that storm drains empty directly into a body of water.
|
Many people rightly believe that b vitamins find in food.
|
We know that the claim that b vitamins find in food is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [3].
If (Not (Either [1] or [0].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [1] or [0].).), then (Not [3].).).
Not [5].
Therefore, If (Not (Either [1] or [0].).), then (Not [3].)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [4], then (If [1], then [2].).
[4]
Therefore, If [1], then [2]..
|
{0: 'B vitamins find in food.', 1: 'Deforestation occurs around the world, though tropical rainforests are particularly targeted.', 2: 'Adequate sleep helps as well, since sleep helps regulate hormone levels.', 3: 'Bats have remarkably large lungs.', 4: 'Storm drains empty directly into a body of water.', 5: 'Primates have two sub orders they are divided into.'}
| 5 |
4,760 |
['We know that at least one of two things is true: either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, or allergic reactions can occur with herbal remedies just like other medications.', 'Once we know allergic reactions can occur with herbal remedies just like other medications, we also know that tapeworms have (part) corpi.', 'Assuming fitness requires physical conditioning through an exercise or sports program, we know that if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi.', 'It is rational to believe that either cardoons are part of cardoons or brown rouge is a step between black and white.', 'On the condition that cardoons are part of cardoons, it is definitely the case that either fitness requires physical conditioning through an exercise or sports program or either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner.', 'If we know that the claim that if either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner, then if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi is false, then hOT magma rises to create new crust.', 'If we know that the claim that if either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner, then if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi is false, then the claim that hOT magma rises to create new crust has no merit.', "Should it be the case that the notion that 'if brown rouge is a step between black and white, then either fitness requires physical conditioning through an exercise or sports program or either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner' is untrue, it follows that some triangles are equilateral.", "The statement that 'some triangles are equilateral' is incorrect."]
|
We know that at least one of two things is true: either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, or allergic reactions can occur with herbal remedies just like other medications. Once we know allergic reactions can occur with herbal remedies just like other medications, we also know that tapeworms have (part) corpi. Assuming fitness requires physical conditioning through an exercise or sports program, we know that if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi. It is rational to believe that either cardoons are part of cardoons or brown rouge is a step between black and white. On the condition that cardoons are part of cardoons, it is definitely the case that either fitness requires physical conditioning through an exercise or sports program or either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner. If we know that the claim that if either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner, then if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi is false, then hOT magma rises to create new crust. If we know that the claim that if either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner, then if either cucumbers have a reputation for beating the heat or migraines usually occur less frequently as a person ages, then tapeworms have (part) corpi is false, then the claim that hOT magma rises to create new crust has no merit. Should it be the case that the notion that 'if brown rouge is a step between black and white, then either fitness requires physical conditioning through an exercise or sports program or either evangelism belongs outside of the church, and edification belongs inside the church or electricity always behaves in a prescribed and uniform manner' is untrue, it follows that some triangles are equilateral. The statement that 'some triangles are equilateral' is incorrect.
|
Many people rightly believe that tapeworms have (part) corpi.
|
Tapeworms lack a gut or mouth.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (If (Either [1] or [2].), then [0].).
If (Either [5] or [6].), then (If (Either [1] or [2].), then [0].). [SC3-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [4] or (Either [5] or [6].).).
If [9], then (Either [4] or (Either [5] or [6].).). [SC3-3]
Therefore, Either [4] or (Either [5] or [6].)..
[SC3-3]
Modus Tonens:
If (Not (If [9], then (Either [4] or (Either [5] or [6].).).).), then [10].
Not [10].
Therefore, If [9], then (Either [4] or (Either [5] or [6].).)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [5] or [6].), then (If (Either [1] or [2].), then [0].).).), then [7].
If (Not (If (Either [5] or [6].), then (If (Either [1] or [2].), then [0].).).), then (Not [7].).
Therefore, If (Either [5] or [6].), then (If (Either [1] or [2].), then [0].)..
|
{0: 'Tapeworms have (part) corpi.', 1: 'Cucumbers have a reputation for beating the heat.', 2: 'Migraines usually occur less frequently as a person ages.', 3: 'Allergic reactions can occur with herbal remedies just like other medications.', 4: 'Fitness requires physical conditioning through an exercise or sports program.', 5: 'Evangelism belongs outside of the church, and edification belongs inside the church.', 6: 'Electricity always behaves in a prescribed and uniform manner.', 7: 'HOT magma rises to create new crust.', 8: 'Cardoons are part of cardoons.', 9: 'Brown rouge is a step between black and white.', 10: 'Some triangles are equilateral.'}
| 5 |
4,001 |
['Assuming exfoliation accounts partly for the rounding of many summits in the highlands, we know that if a voting right is a right, then some king cobras excrete waste materials.', 'The claim that exfoliation accounts partly for the rounding of many summits in the highlands is true.', 'When the statement, if a voting right is a right, then we know that the claim that some king cobras excrete waste materials is false, does not hold is true, it follows that most viral pneumonia causes illnesses.', 'We can assume that trees provide additional protection.', "Provided that lead poisoning can have serious consequences in children, we know that if trees provide additional protection, then the notion that 'most viral pneumonia causes illnesses' is untrue.", 'The statement that states lead poisoning can have serious consequences in children is right.']
|
Assuming exfoliation accounts partly for the rounding of many summits in the highlands, we know that if a voting right is a right, then some king cobras excrete waste materials. The claim that exfoliation accounts partly for the rounding of many summits in the highlands is true. When the statement, if a voting right is a right, then we know that the claim that some king cobras excrete waste materials is false, does not hold is true, it follows that most viral pneumonia causes illnesses. We can assume that trees provide additional protection. Provided that lead poisoning can have serious consequences in children, we know that if trees provide additional protection, then the notion that 'most viral pneumonia causes illnesses' is untrue. The statement that states lead poisoning can have serious consequences in children is right.
|
The notion that 'a voting right is a right' is untrue.
|
The claim that voting rights are an essential indicator of the basic freedom of the citizens of any nation does not reflect reality.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (If [0], then [1].).
[3]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [2].
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [4], then (Not [2].). [SC1-3]
[4]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [5], then (If [4], then (Not [2].).).
[5]
Therefore, If [4], then (Not [2].)..
|
{0: 'A voting right is a right.', 1: 'Some king cobras excrete waste materials.', 2: 'Most viral pneumonia causes illnesses.', 3: 'Exfoliation accounts partly for the rounding of many summits in the highlands.', 4: 'Trees provide additional protection.', 5: 'Lead poisoning can have serious consequences in children.'}
| 5 |
4,823 |
['On the condition that sleeping causes dreams, it is definitely the case that large catfish live in many rivers throughout the world, where they are important scavengers.', 'Some people mistakenly believe that speed helps to keep the boat upright by bringing the apparent wind forward.', 'It is a fact that either stopcocks are faucets or if infect mosquitoes transmit viruses, then either speed helps to keep the boat upright by bringing the apparent wind forward or if sleeping causes dreams, then the statement, large catfish live in many rivers throughout the world, where they are important scavengers, does not hold.', 'It is not the case that stopcocks are faucets.', 'If the claim that infect mosquitoes transmit viruses does not correspond with reality, then either solenoids are stronger with more current or more wire turns or adding a soft iron core or annual ryegrass is an important forage crop in East Texas.', 'It is not the case that either solenoids are stronger with more current or more wire turns or adding a soft iron core or annual ryegrass is an important forage crop in East Texas.']
|
On the condition that sleeping causes dreams, it is definitely the case that large catfish live in many rivers throughout the world, where they are important scavengers. Some people mistakenly believe that speed helps to keep the boat upright by bringing the apparent wind forward. It is a fact that either stopcocks are faucets or if infect mosquitoes transmit viruses, then either speed helps to keep the boat upright by bringing the apparent wind forward or if sleeping causes dreams, then the statement, large catfish live in many rivers throughout the world, where they are important scavengers, does not hold. It is not the case that stopcocks are faucets. If the claim that infect mosquitoes transmit viruses does not correspond with reality, then either solenoids are stronger with more current or more wire turns or adding a soft iron core or annual ryegrass is an important forage crop in East Texas. It is not the case that either solenoids are stronger with more current or more wire turns or adding a soft iron core or annual ryegrass is an important forage crop in East Texas.
|
Some people mistakenly believe that sleeping causes dreams.
|
Some people mistakenly believe that sleeping causes dreams.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If [0], then (Not [1].).). [SC1-2]
Not [2].
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or (If [0], then (Not [1].).).). [SC1-3]
[3] [SC2-3]
Therefore, Either [2] or (If [0], then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [3], then (Either [2] or (If [0], then (Not [1].).).).).
Not [6].
Therefore, If [3], then (Either [2] or (If [0], then (Not [1].).).)..
[SC2-3]
Modus Tonens:
If (Not [3].), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, [3].
|
{0: 'Sleeping causes dreams.', 1: 'Large catfish live in many rivers throughout the world, where they are important scavengers.', 2: 'Speed helps to keep the boat upright by bringing the apparent wind forward.', 3: 'Infect mosquitoes transmit viruses.', 4: 'Solenoids are stronger with more current or more wire turns or adding a soft iron core.', 5: 'Annual ryegrass is an important forage crop in East Texas.', 6: 'Stopcocks are faucets.'}
| 5 |
4,710 |
['At least one of two things is true: degradation is the erosion of landforms by water, wind, and gravity, or either trees can help direct air movement or offspring consume diets.', "Whenever it is true that hospitals also have major pharmacies with several million dollars of street-value drugs, 'some pigs develop calcium deficiencies' is true.", 'At least one of two things is true: if veins deliver blood, then saline soils are locally present, or water reduces friction.', "Given that water reduces friction, it can be inferred that if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it.", 'We know that at least one of two things is true: either commercial insecticide has quality or women face no increased risk of breast cancer ten or more years after stopping the Pill, or if degradation is the erosion of landforms by water, wind, and gravity, then hospitals also have major pharmacies with several million dollars of street-value drugs.', 'Those that suggest either commercial insecticide has quality or women face no increased risk of breast cancer ten or more years after stopping the Pill are wrong.', "Provided that the notion that 'if if veins deliver blood, then saline soils are locally present, then if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it' is untrue, we know that chlorine also increases efficiency.", "Given that the notion that 'if if veins deliver blood, then saline soils are locally present, then if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it' is untrue, it can be inferred that the claim that chlorine also increases efficiency is false."]
|
At least one of two things is true: degradation is the erosion of landforms by water, wind, and gravity, or either trees can help direct air movement or offspring consume diets. Whenever it is true that hospitals also have major pharmacies with several million dollars of street-value drugs, 'some pigs develop calcium deficiencies' is true. At least one of two things is true: if veins deliver blood, then saline soils are locally present, or water reduces friction. Given that water reduces friction, it can be inferred that if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it. We know that at least one of two things is true: either commercial insecticide has quality or women face no increased risk of breast cancer ten or more years after stopping the Pill, or if degradation is the erosion of landforms by water, wind, and gravity, then hospitals also have major pharmacies with several million dollars of street-value drugs. Those that suggest either commercial insecticide has quality or women face no increased risk of breast cancer ten or more years after stopping the Pill are wrong. Provided that the notion that 'if if veins deliver blood, then saline soils are locally present, then if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it' is untrue, we know that chlorine also increases efficiency. Given that the notion that 'if if veins deliver blood, then saline soils are locally present, then if either trees can help direct air movement or offspring consume diets, then stress is the body's response to any demand put upon it' is untrue, it can be inferred that the claim that chlorine also increases efficiency is false.
|
There is good reason to believe that either some pigs develop calcium deficiencies or stress is the body's response to any demand put upon it.
|
We know that either pigs transmit the disease the fastest although cattle are the most susceptible or some stress is a normal part of daily life.
|
Uncertain
|
Constructive Dilemma:
Either [2] or (Either [3] or [4].).
If [2], then [0]. [SC2-1]
If (Either [3] or [4].), then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [8]. [SC1-2]
If [8], then [0].
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If [2], then [8].).
Not (Either [9] or [10].).
Therefore, If [2], then [8]..
[SC3-1]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If (Either [3] or [4].), then [1].). [SC2-2]
If [7], then (If (Either [3] or [4].), then [1].).
Therefore, If (Either [3] or [4].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (If (Either [3] or [4].), then [1].).).), then [11].
If (Not (If (If [5], then [6].), then (If (Either [3] or [4].), then [1].).).), then (Not [11].).
Therefore, If (If [5], then [6].), then (If (Either [3] or [4].), then [1].)..
|
{0: 'Some pigs develop calcium deficiencies.', 1: "Stress is the body's response to any demand put upon it.", 2: 'Degradation is the erosion of landforms by water, wind, and gravity.', 3: 'Trees can help direct air movement.', 4: 'Offspring consume diets.', 5: 'Veins deliver blood.', 6: 'Saline soils are locally present.', 7: 'Water reduces friction.', 8: 'Hospitals also have major pharmacies with several million dollars of street-value drugs.', 9: 'Commercial insecticide has quality.', 10: 'Women face no increased risk of breast cancer ten or more years after stopping the Pill.', 11: 'Chlorine also increases efficiency.'}
| 5 |
4,614 |
["The statement 'regurgitation is a symptom of megaesophagus or other esophageal disease' can be considered true.", 'leaves wither and die in spring.', 'It is rational to believe that either water oak grows across a wide geographic range but is less common in the mountains or if women still die from haemorrhages, infections and toxaemia, then constellations are a group of stars that often include asterisms.', "Given that water oak grows across a wide geographic range but is less common in the mountains, it can be inferred that the notion that 'development provides distribution' is untrue.", "Should it be the case that if women still die from haemorrhages, infections and toxaemia, then constellations are a group of stars that often include asterisms, it follows that the notion that 'development provides distribution' is untrue.", 'Either one or both of these statements are true: bird lungs are special, because they have an opening at each end, or if leaves wither and die in spring, then if it is not true that if regurgitation is a symptom of megaesophagus or other esophageal disease, then christians live in relationship to the central truths of their faith, then development provides distribution.', "The notion that 'bird lungs are special, because they have an opening at each end' is untrue."]
|
The statement 'regurgitation is a symptom of megaesophagus or other esophageal disease' can be considered true. leaves wither and die in spring. It is rational to believe that either water oak grows across a wide geographic range but is less common in the mountains or if women still die from haemorrhages, infections and toxaemia, then constellations are a group of stars that often include asterisms. Given that water oak grows across a wide geographic range but is less common in the mountains, it can be inferred that the notion that 'development provides distribution' is untrue. Should it be the case that if women still die from haemorrhages, infections and toxaemia, then constellations are a group of stars that often include asterisms, it follows that the notion that 'development provides distribution' is untrue. Either one or both of these statements are true: bird lungs are special, because they have an opening at each end, or if leaves wither and die in spring, then if it is not true that if regurgitation is a symptom of megaesophagus or other esophageal disease, then christians live in relationship to the central truths of their faith, then development provides distribution. The notion that 'bird lungs are special, because they have an opening at each end' is untrue.
|
It is a simple truth that christians live in relationship to the central truths of their faith.
|
The statement 'christians live in relationship to the central truths of their faith' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If [1], then [0].).), then [2].). [SC1-3]
[6]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (If (Not (If [1], then [0].).), then [2].).).
Not [7].
Therefore, If [6], then (If (Not (If [1], then [0].).), then [2].)..
[SC2-2]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (Not [2].).
If (If [4], then [5].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Christians live in relationship to the central truths of their faith.', 1: 'Regurgitation is a symptom of megaesophagus or other esophageal disease.', 2: 'Development provides distribution.', 3: 'Water oak grows across a wide geographic range but is less common in the mountains.', 4: 'Women still die from haemorrhages, infections and toxaemia.', 5: 'Constellations are a group of stars that often include asterisms.', 6: 'Leaves wither and die in spring.', 7: 'Bird lungs are special, because they have an opening at each end.'}
| 5 |
4,790 |
['Once we know the statement that states free grace is beneficence is false, we also know that the claim that if smart objects are modules of reusable software, then many radicals view capitalism as an undefeatable totality is false.', 'The claim that ethylene is used in automotive parts, cosmetics and food additives has no merit.', 'The claim that agriculture ranks second only to mining in terms of risk for fatal injury is false.', 'Provided that we know that the claim that if the statement, either ethylene is used in automotive parts, cosmetics and food additives or if the statement that states free grace is beneficence is false, then if smart objects are modules of reusable software, then many radicals view capitalism as an undefeatable totality, does not hold, then agriculture ranks second only to mining in terms of risk for fatal injury is false, we know that stock splits affect only the par value of the stock and the number of shares outstanding.', 'It is rational to believe that either thrips pass through two nymphs stages, in which the nymphs feed on the same food as the adults or evolution is scientific fact.', 'When thrips pass through two nymphs stages, in which the nymphs feed on the same food as the adults is true, it follows that we know that the claim that stock splits affect only the par value of the stock and the number of shares outstanding is false.', 'On the condition that evolution is scientific fact, it is definitely the case that we know that the claim that stock splits affect only the par value of the stock and the number of shares outstanding is false.']
|
Once we know the statement that states free grace is beneficence is false, we also know that the claim that if smart objects are modules of reusable software, then many radicals view capitalism as an undefeatable totality is false. The claim that ethylene is used in automotive parts, cosmetics and food additives has no merit. The claim that agriculture ranks second only to mining in terms of risk for fatal injury is false. Provided that we know that the claim that if the statement, either ethylene is used in automotive parts, cosmetics and food additives or if the statement that states free grace is beneficence is false, then if smart objects are modules of reusable software, then many radicals view capitalism as an undefeatable totality, does not hold, then agriculture ranks second only to mining in terms of risk for fatal injury is false, we know that stock splits affect only the par value of the stock and the number of shares outstanding. It is rational to believe that either thrips pass through two nymphs stages, in which the nymphs feed on the same food as the adults or evolution is scientific fact. When thrips pass through two nymphs stages, in which the nymphs feed on the same food as the adults is true, it follows that we know that the claim that stock splits affect only the par value of the stock and the number of shares outstanding is false. On the condition that evolution is scientific fact, it is definitely the case that we know that the claim that stock splits affect only the par value of the stock and the number of shares outstanding is false.
|
Those that suggest free grace is beneficence are right.
|
Those that suggest free grace is beneficence are right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (If [1], then [2].).). [SC1-2]
Not [3].
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4]. [SC1-3]
Not [4].
Therefore, Either [3] or (If (Not [0].), then (If [1], then [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4].).), then [5].
Not [5]. [SC2-4]
Therefore, If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4]..
[SC2-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Free grace is beneficence.', 1: 'Smart objects are modules of reusable software.', 2: 'Many radicals view capitalism as an undefeatable totality.', 3: 'Ethylene is used in automotive parts, cosmetics and food additives.', 4: 'Agriculture ranks second only to mining in terms of risk for fatal injury.', 5: 'Stock splits affect only the par value of the stock and the number of shares outstanding.', 6: 'Thrips pass through two nymphs stages, in which the nymphs feed on the same food as the adults.', 7: 'Evolution is scientific fact.'}
| 5 |
4,408 |
["Whenever it is true that the statement that states a quin is a sib is false, 'it is not the case that most animals eat hay' is true.", 'It is not the case that development is the expression or realisation of the inheritance.', 'One may reasonably assume that if we know that the claim that if the statement that states a quin is a sib is false, then most animals eat hay is false, then some chemicals react with water and produce excessive heat, and flammable or toxic gases.', "Provided that the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, we know that panamanian has (part) cytoplasm.", 'We know that either corn plants have tassels at the top of the plant which produce pollen or some llamas have domesticate cousins.', "So long as corn plants have tassels at the top of the plant which produce pollen, 'if the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, then the statement 'panamanian has (part) cytoplasm' can be considered false' is true.", "If some llamas have domesticate cousins, then if the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, then the statement 'panamanian has (part) cytoplasm' can be considered false."]
|
Whenever it is true that the statement that states a quin is a sib is false, 'it is not the case that most animals eat hay' is true. It is not the case that development is the expression or realisation of the inheritance. One may reasonably assume that if we know that the claim that if the statement that states a quin is a sib is false, then most animals eat hay is false, then some chemicals react with water and produce excessive heat, and flammable or toxic gases. Provided that the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, we know that panamanian has (part) cytoplasm. We know that either corn plants have tassels at the top of the plant which produce pollen or some llamas have domesticate cousins. So long as corn plants have tassels at the top of the plant which produce pollen, 'if the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, then the statement 'panamanian has (part) cytoplasm' can be considered false' is true. If some llamas have domesticate cousins, then if the statement that 'if some chemicals react with water and produce excessive heat, and flammable or toxic gases, then development is the expression or realisation of the inheritance' is incorrect, then the statement 'panamanian has (part) cytoplasm' can be considered false.
|
It is rational to agree that a quin is a sib.
|
A quin is a sib.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [3].
If [3], then [2]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then [2].).), then [4].
If (Not (If [3], then [2].).), then (Not [4].). [SC2-4]
Therefore, If [3], then [2]..
[SC2-4]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [3], then [2].).), then (Not [4].).).
If [6], then (If (Not (If [3], then [2].).), then (Not [4].).).
Therefore, If (Not (If [3], then [2].).), then (Not [4].)..
|
{0: 'A quin is a sib.', 1: 'Most animals eat hay.', 2: 'Development is the expression or realisation of the inheritance.', 3: 'Some chemicals react with water and produce excessive heat, and flammable or toxic gases.', 4: 'Panamanian has (part) cytoplasm.', 5: 'Corn plants have tassels at the top of the plant which produce pollen.', 6: 'Some llamas have domesticate cousins.'}
| 5 |
4,736 |
['Either one or both of these statements are true: rocks have lower n than unconsolidated materials, or some heterogeneous mixture includes liquids.', 'Provided that rocks have lower n than unconsolidated materials, we know that either places have certain special quality or personal information is any information that relates to an identifiable person.', 'Once we know some heterogeneous mixture includes liquids, we also know that most elephants live in Africa.', 'There is good reason to believe that either precious earth is called dirt and has to be washed off or free radicals start the chain scission which leads to degredation.', 'Once we know arteries are the blood vessels that carry blood with oxygen away from the heart and to the muscles , we also know that if most elephants live in Africa, then climate change can also effect biological diversity in several ways.', 'The idea that arteries are the blood vessels that carry blood with oxygen away from the heart and to the muscles is true.', 'Assuming either precious earth is called dirt and has to be washed off or free radicals start the chain scission which leads to degredation, we know that if chemicals come from breakdowns, then violence saps the psychological well being of every child, every parent and grandparent.', 'Should it be the case that if chemicals come from breakdowns, then violence saps the psychological well being of every child, every parent and grandparent, it follows that if either places have certain special quality or personal information is any information that relates to an identifiable person, then climate change can also effect biological diversity in several ways.']
|
Either one or both of these statements are true: rocks have lower n than unconsolidated materials, or some heterogeneous mixture includes liquids. Provided that rocks have lower n than unconsolidated materials, we know that either places have certain special quality or personal information is any information that relates to an identifiable person. Once we know some heterogeneous mixture includes liquids, we also know that most elephants live in Africa. There is good reason to believe that either precious earth is called dirt and has to be washed off or free radicals start the chain scission which leads to degredation. Once we know arteries are the blood vessels that carry blood with oxygen away from the heart and to the muscles , we also know that if most elephants live in Africa, then climate change can also effect biological diversity in several ways. The idea that arteries are the blood vessels that carry blood with oxygen away from the heart and to the muscles is true. Assuming either precious earth is called dirt and has to be washed off or free radicals start the chain scission which leads to degredation, we know that if chemicals come from breakdowns, then violence saps the psychological well being of every child, every parent and grandparent. Should it be the case that if chemicals come from breakdowns, then violence saps the psychological well being of every child, every parent and grandparent, it follows that if either places have certain special quality or personal information is any information that relates to an identifiable person, then climate change can also effect biological diversity in several ways.
|
The statement that states climate change can also effect biological diversity in several ways is right.
|
Climate change is an air problem, a water problem, and a land problem.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then (Either [1] or [2].).
If [5], then [3].
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Modus Ponens:
If (Either [7] or [8].), then (If (Either [1] or [2].), then [0].). [SC1-2]
Either [7] or [8].
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Either [7] or [8].), then (If [9], then [10].).
If (If [9], then [10].), then (If (Either [1] or [2].), then [0].).
Therefore, If (Either [7] or [8].), then (If (Either [1] or [2].), then [0].)..
[SC3-1]
Modus Ponens:
If [6], then (If [3], then [0].).
[6]
Therefore, If [3], then [0]..
|
{0: 'Climate change can also effect biological diversity in several ways.', 1: 'Places have certain special quality.', 2: 'Personal information is any information that relates to an identifiable person.', 3: 'Most elephants live in Africa.', 4: 'Rocks have lower n than unconsolidated materials.', 5: 'Some heterogeneous mixture includes liquids.', 6: 'Arteries are the blood vessels that carry blood with oxygen away from the heart and to the muscles .', 7: 'Precious earth is called dirt and has to be washed off.', 8: 'Free radicals start the chain scission which leads to degredation.', 9: 'Chemicals come from breakdowns.', 10: 'Violence saps the psychological well being of every child, every parent and grandparent.'}
| 5 |
4,957 |
['Given that if tees are sites, then some giant puffballs contain spores, it can be inferred that origins of replication are the sites at which DNA replication is initiated.', 'Provided that the statement, either if tees are sites, then some giant puffballs contain spores or large cities provide pressurized hydrants for use in fighting fires, does not hold, we know that most data types use all the bit patterns that can be formed with the eight bits of a byte.', 'On the condition that pediatric surgery is a relatively new medical field, it is definitely the case that if large cities provide pressurized hydrants for use in fighting fires, then origins of replication are the sites at which DNA replication is initiated.', "Whenever it is true that beagles can easily gain weight if overfed, 'if large cities provide pressurized hydrants for use in fighting fires, then origins of replication are the sites at which DNA replication is initiated' is true.", 'Once we know either colonies have churches or many people are allergic to bees and Africanized bees sting more often than the European variety, we also know that if the statement, either if tees are sites, then some giant puffballs contain spores or large cities provide pressurized hydrants for use in fighting fires, does not hold, then the claim that most data types use all the bit patterns that can be formed with the eight bits of a byte does not correspond with reality.', 'There is good reason to believe that either colonies have churches or many people are allergic to bees and Africanized bees sting more often than the European variety.', 'One may reasonably assume that if the statement, either pediatric surgery is a relatively new medical field or beagles can easily gain weight if overfed, does not hold, then some people can only sleep with the light on.', "The statement 'some people can only sleep with the light on' can be considered false."]
|
Given that if tees are sites, then some giant puffballs contain spores, it can be inferred that origins of replication are the sites at which DNA replication is initiated. Provided that the statement, either if tees are sites, then some giant puffballs contain spores or large cities provide pressurized hydrants for use in fighting fires, does not hold, we know that most data types use all the bit patterns that can be formed with the eight bits of a byte. On the condition that pediatric surgery is a relatively new medical field, it is definitely the case that if large cities provide pressurized hydrants for use in fighting fires, then origins of replication are the sites at which DNA replication is initiated. Whenever it is true that beagles can easily gain weight if overfed, 'if large cities provide pressurized hydrants for use in fighting fires, then origins of replication are the sites at which DNA replication is initiated' is true. Once we know either colonies have churches or many people are allergic to bees and Africanized bees sting more often than the European variety, we also know that if the statement, either if tees are sites, then some giant puffballs contain spores or large cities provide pressurized hydrants for use in fighting fires, does not hold, then the claim that most data types use all the bit patterns that can be formed with the eight bits of a byte does not correspond with reality. There is good reason to believe that either colonies have churches or many people are allergic to bees and Africanized bees sting more often than the European variety. One may reasonably assume that if the statement, either pediatric surgery is a relatively new medical field or beagles can easily gain weight if overfed, does not hold, then some people can only sleep with the light on. The statement 'some people can only sleep with the light on' can be considered false.
|
It is rational to agree that origins of replication are the sites at which DNA replication is initiated.
|
Origins of replication is organic matter.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [3].).), then [4].
If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].). [SC2-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC2-2]
Modus Ponens:
If (Either [7] or [8].), then (If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].).).
Either [7] or [8].
Therefore, If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].)..
[SC3-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (If [3], then [0].).
If [6], then (If [3], then [0].).
Therefore, If [3], then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or [6].).), then [9].
Not [9].
Therefore, Either [5] or [6]..
|
{0: 'Origins of replication are the sites at which DNA replication is initiated.', 1: 'Tees are sites.', 2: 'Some giant puffballs contain spores.', 3: 'Large cities provide pressurized hydrants for use in fighting fires.', 4: 'Most data types use all the bit patterns that can be formed with the eight bits of a byte.', 5: 'Pediatric surgery is a relatively new medical field.', 6: 'Beagles can easily gain weight if overfed.', 7: 'Colonies have churches.', 8: 'Many people are allergic to bees and Africanized bees sting more often than the European variety.', 9: 'Some people can only sleep with the light on.'}
| 5 |
4,366 |
['At least one of two things is true: every substance is necessarily infinite, or either climate change can also aid in the dispersal of plant and crop disease or the claim that boxs are used for seats is false.', 'Given that polonium is a radioactive, extremely rare semi-metal, it can be inferred that the statement, climate change can also aid in the dispersal of plant and crop disease, does not hold.', 'It is the case that polonium is a radioactive, extremely rare semi-metal.', "Assuming every substance is necessarily infinite, we know that the statement that 'most magpies eat larvae' is incorrect.", 'Given that the claim that if every substance is necessarily infinite, then most magpies eat larvae is false, it can be inferred that birdfeeders also can help pheasants survive.', 'The claim that birdfeeders also can help pheasants survive does not reflect reality.']
|
At least one of two things is true: every substance is necessarily infinite, or either climate change can also aid in the dispersal of plant and crop disease or the claim that boxs are used for seats is false. Given that polonium is a radioactive, extremely rare semi-metal, it can be inferred that the statement, climate change can also aid in the dispersal of plant and crop disease, does not hold. It is the case that polonium is a radioactive, extremely rare semi-metal. Assuming every substance is necessarily infinite, we know that the statement that 'most magpies eat larvae' is incorrect. Given that the claim that if every substance is necessarily infinite, then most magpies eat larvae is false, it can be inferred that birdfeeders also can help pheasants survive. The claim that birdfeeders also can help pheasants survive does not reflect reality.
|
The claim that boxs are used for seats is false.
|
It is not the case that boxs are located in post offices.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or (Not [0].).).
Not [3]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-3]
If [3], then (Not [4].).
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (If [3], then [4].).), then [5].
Not [5].
Therefore, If [3], then [4]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Boxs are used for seats.', 1: 'Climate change can also aid in the dispersal of plant and crop disease.', 2: 'Polonium is a radioactive, extremely rare semi-metal.', 3: 'Every substance is necessarily infinite.', 4: 'Most magpies eat larvae.', 5: 'Birdfeeders also can help pheasants survive.'}
| 5 |
4,918 |
["If it is not the case that some electrical activities involve motion, then the statement 'either companies use tests or most universities maintain herbariums' can be considered false.", 'Given that the claim that if men also have a higher bone density than women, then if it is not the case that some electrical activities involve motion, then either companies use tests or most universities maintain herbariums is false, it can be inferred that some southern cassowaries have claws.', 'Given that the claim that if men also have a higher bone density than women, then if it is not the case that some electrical activities involve motion, then either companies use tests or most universities maintain herbariums is false, it can be inferred that the claim that some southern cassowaries have claws does not reflect reality.', 'Some people mistakenly believe that injection wells vary in their potential to contaminate ground water.', 'We know that at least one of two things is true: destination isa region, or either injection wells vary in their potential to contaminate ground water or men also have a higher bone density than women.', 'The claim that destination isa region does not reflect reality.']
|
If it is not the case that some electrical activities involve motion, then the statement 'either companies use tests or most universities maintain herbariums' can be considered false. Given that the claim that if men also have a higher bone density than women, then if it is not the case that some electrical activities involve motion, then either companies use tests or most universities maintain herbariums is false, it can be inferred that some southern cassowaries have claws. Given that the claim that if men also have a higher bone density than women, then if it is not the case that some electrical activities involve motion, then either companies use tests or most universities maintain herbariums is false, it can be inferred that the claim that some southern cassowaries have claws does not reflect reality. Some people mistakenly believe that injection wells vary in their potential to contaminate ground water. We know that at least one of two things is true: destination isa region, or either injection wells vary in their potential to contaminate ground water or men also have a higher bone density than women. The claim that destination isa region does not reflect reality.
|
The claim that some electrical activities involve motion holds true.
|
Electrical activity plays a major role in the control of gastric motor activity.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Either [1] or [2].).). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then [4].
If (Not (If [3], then (If (Not [0].), then (Either [1] or [2].).).).), then (Not [4].).
Therefore, If [3], then (If (Not [0].), then (Either [1] or [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [3]. [SC1-3]
Not [5].
Therefore, [3].
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [5] or [3].).
Not [6].
Therefore, Either [5] or [3]..
|
{0: 'Some electrical activities involve motion.', 1: 'Companies use tests.', 2: 'Most universities maintain herbariums.', 3: 'Men also have a higher bone density than women.', 4: 'Some southern cassowaries have claws.', 5: 'Injection wells vary in their potential to contaminate ground water.', 6: 'Destination isa region.'}
| 5 |
4,267 |
['Given that it is not true that honey badgers eat meat, it can be inferred that most MMs start in normal skin.', 'On the condition that cats learn very quickly when they are motivated, it is definitely the case that if it is not true that honey badgers eat meat, then some people mistakenly believe that event horizon is a scientific term which stands for the boundary between a black hole and our space.', 'It is a simple truth that cats learn very quickly when they are motivated.', 'One may reasonably assume that if most MMs start in normal skin, then stress Management Managing stress is an important form of treatment.', 'We know that at least one of two things is true: clubfoot is a congenital malformation that is usually diagnosed at birth, or historian isa someone.', 'Assuming clubfoot is a congenital malformation that is usually diagnosed at birth, we know that if stress Management Managing stress is an important form of treatment, then event horizon is a scientific term which stands for the boundary between a black hole and our space.', "So long as historian isa someone, 'if stress Management Managing stress is an important form of treatment, then event horizon is a scientific term which stands for the boundary between a black hole and our space' is true."]
|
Given that it is not true that honey badgers eat meat, it can be inferred that most MMs start in normal skin. On the condition that cats learn very quickly when they are motivated, it is definitely the case that if it is not true that honey badgers eat meat, then some people mistakenly believe that event horizon is a scientific term which stands for the boundary between a black hole and our space. It is a simple truth that cats learn very quickly when they are motivated. One may reasonably assume that if most MMs start in normal skin, then stress Management Managing stress is an important form of treatment. We know that at least one of two things is true: clubfoot is a congenital malformation that is usually diagnosed at birth, or historian isa someone. Assuming clubfoot is a congenital malformation that is usually diagnosed at birth, we know that if stress Management Managing stress is an important form of treatment, then event horizon is a scientific term which stands for the boundary between a black hole and our space. So long as historian isa someone, 'if stress Management Managing stress is an important form of treatment, then event horizon is a scientific term which stands for the boundary between a black hole and our space' is true.
|
The statement 'honey badgers eat meat' is true.
|
It is not true that honey badgers eat meat.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [4].
If [4], then [1]. [SC2-3]
Therefore, If [3], then [1]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then [1].).
If [6], then (If [4], then [1].).
Therefore, If [4], then [1]..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).).
[2]
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Honey badgers eat meat.', 1: 'Event horizon is a scientific term which stands for the boundary between a black hole and our space.', 2: 'Cats learn very quickly when they are motivated.', 3: 'Most MMs start in normal skin.', 4: 'Stress Management Managing stress is an important form of treatment.', 5: 'Clubfoot is a congenital malformation that is usually diagnosed at birth.', 6: 'Historian isa someone.'}
| 5 |
4,230 |
["Whenever it is true that it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, 'most sand has color' is true.", 'There is good reason to believe that either many people complain that adding fiber to the diet causes gas or the claim that salvation is the end result of belief matched with action has no merit.', 'It is not the case that many people complain that adding fiber to the diet causes gas.', "Provided that the claim that if it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, then the claim that most sand has color is false is false, we know that the statement that 'habitat loss is now the leading threat to wildlife in the Americas' is incorrect.", 'One may reasonably assume that if the statement that states if the claim that if it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, then the claim that most sand has color is false is false, then habitat loss is now the leading threat to wildlife in the Americas is false, then some body temperature exceeds degrees.', 'The statement that states some body temperature exceeds degrees is false.']
|
Whenever it is true that it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, 'most sand has color' is true. There is good reason to believe that either many people complain that adding fiber to the diet causes gas or the claim that salvation is the end result of belief matched with action has no merit. It is not the case that many people complain that adding fiber to the diet causes gas. Provided that the claim that if it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, then the claim that most sand has color is false is false, we know that the statement that 'habitat loss is now the leading threat to wildlife in the Americas' is incorrect. One may reasonably assume that if the statement that states if the claim that if it is not the case that either salvation is the end result of belief matched with action or salamanders carry genes, then the claim that most sand has color is false is false, then habitat loss is now the leading threat to wildlife in the Americas is false, then some body temperature exceeds degrees. The statement that states some body temperature exceeds degrees is false.
|
The statement 'salamanders carry genes' is true.
|
Some salamanders occur at high density.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [3].
If (Not (Either [1] or [0].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then (Not [4].).
Therefore, If (Not (Either [1] or [0].).), then (Not [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4].).), then [5].
Not [5].
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2].
Therefore, Not [1]..
|
{0: 'Salamanders carry genes.', 1: 'Salvation is the end result of belief matched with action.', 2: 'Many people complain that adding fiber to the diet causes gas.', 3: 'Most sand has color.', 4: 'Habitat loss is now the leading threat to wildlife in the Americas.', 5: 'Some body temperature exceeds degrees.'}
| 5 |
4,996 |
['Either food habits appear to differ among estuarine areas or either maximum wealth is created by efficient exchanges or if mosquitoes have (part) cytoplasm, then overcharges often are the result of incorrect or inaccurate hospital billing.', 'The claim that food habits appear to differ among estuarine areas has no merit.', 'Once we know those that suggest if maximum wealth is created by efficient exchanges, then shamans usually are men, but some women also have shamanic power are wrong, we also know that affected birds show severe weight loss, depression and intolerance to exercise.', "One may reasonably assume that if those that suggest if maximum wealth is created by efficient exchanges, then shamans usually are men, but some women also have shamanic power are wrong, then the statement that 'affected birds show severe weight loss, depression and intolerance to exercise' is incorrect.", "So long as narrow tongues have surfaces, 'the claim that shamans usually are men, but some women also have shamanic power does not reflect reality' is true.", 'Those that suggest narrow tongues have surfaces are right.']
|
Either food habits appear to differ among estuarine areas or either maximum wealth is created by efficient exchanges or if mosquitoes have (part) cytoplasm, then overcharges often are the result of incorrect or inaccurate hospital billing. The claim that food habits appear to differ among estuarine areas has no merit. Once we know those that suggest if maximum wealth is created by efficient exchanges, then shamans usually are men, but some women also have shamanic power are wrong, we also know that affected birds show severe weight loss, depression and intolerance to exercise. One may reasonably assume that if those that suggest if maximum wealth is created by efficient exchanges, then shamans usually are men, but some women also have shamanic power are wrong, then the statement that 'affected birds show severe weight loss, depression and intolerance to exercise' is incorrect. So long as narrow tongues have surfaces, 'the claim that shamans usually are men, but some women also have shamanic power does not reflect reality' is true. Those that suggest narrow tongues have surfaces are right.
|
Should it be the case that mosquitoes have (part) cytoplasm, it follows that overcharges often are the result of incorrect or inaccurate hospital billing.
|
Whenever it is true that mosquitoes have (part) cytoplasm, 'overcharges are charge' is true.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [2] or (If [0], then [1].).).
Not [3].
Therefore, Either [2] or (If [0], then [1].)..
[SC2-1]
Modus Tonens:
If [2], then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then [4].).), then [5].
If (Not (If [2], then [4].).), then (Not [5].).
Therefore, If [2], then [4]..
[SC2-2]
Modus Ponens:
If [6], then (Not [4].).
[6]
Therefore, Not [4]..
|
{0: 'Mosquitoes have (part) cytoplasm.', 1: 'Overcharges often are the result of incorrect or inaccurate hospital billing.', 2: 'Maximum wealth is created by efficient exchanges.', 3: 'Food habits appear to differ among estuarine areas.', 4: 'Shamans usually are men, but some women also have shamanic power.', 5: 'Affected birds show severe weight loss, depression and intolerance to exercise.', 6: 'Narrow tongues have surfaces.'}
| 5 |
4,635 |
['At least one of two things is true: if cancer is one consequence of mutations caused by faulty DNA repair systems, then offspring have high milk production, or most cities have a cheap and efficient public transport system.', 'When it is not the case that if if cancer is one consequence of mutations caused by faulty DNA repair systems, then offspring have high milk production, then if an eyeball is a capsule, then some terrains consist of mountains is true, it follows that either magnetic therapy is a drug free way of eliminating pain and swelling or some solitary animals have snouts.', 'It is the case that exhortation is communication.', 'Either one or both of these statements are true: some bats live in England, or some people mistakenly believe that either magnetic therapy is a drug free way of eliminating pain and swelling or some solitary animals have snouts.', "The statement 'some bats live in England' can be considered false.", 'Either one or both of these statements are true: intensity discharge lamps contain blue light, or hummers like to perch in a protected area before flying to the feeder.', "So long as intensity discharge lamps contain blue light, 'if exhortation is communication, then if most cities have a cheap and efficient public transport system, then if an eyeball is a capsule, then some terrains consist of mountains' is true.", 'On the condition that hummers like to perch in a protected area before flying to the feeder, it is definitely the case that if exhortation is communication, then if most cities have a cheap and efficient public transport system, then if an eyeball is a capsule, then some terrains consist of mountains.']
|
At least one of two things is true: if cancer is one consequence of mutations caused by faulty DNA repair systems, then offspring have high milk production, or most cities have a cheap and efficient public transport system. When it is not the case that if if cancer is one consequence of mutations caused by faulty DNA repair systems, then offspring have high milk production, then if an eyeball is a capsule, then some terrains consist of mountains is true, it follows that either magnetic therapy is a drug free way of eliminating pain and swelling or some solitary animals have snouts. It is the case that exhortation is communication. Either one or both of these statements are true: some bats live in England, or some people mistakenly believe that either magnetic therapy is a drug free way of eliminating pain and swelling or some solitary animals have snouts. The statement 'some bats live in England' can be considered false. Either one or both of these statements are true: intensity discharge lamps contain blue light, or hummers like to perch in a protected area before flying to the feeder. So long as intensity discharge lamps contain blue light, 'if exhortation is communication, then if most cities have a cheap and efficient public transport system, then if an eyeball is a capsule, then some terrains consist of mountains' is true. On the condition that hummers like to perch in a protected area before flying to the feeder, it is definitely the case that if exhortation is communication, then if most cities have a cheap and efficient public transport system, then if an eyeball is a capsule, then some terrains consist of mountains.
|
Given that an eyeball is a capsule, it can be inferred that some terrains consist of mountains.
|
The statement, if an eyeball is a capsule, then some terrains consist of mountains, does not hold.
|
FALSE
|
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (If [0], then [1].). [SC2-1]
If [4], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (If [2], then [3].), then (If [0], then [1].).).), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-2]
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [10] or (Not (Either [5] or [6].).).
Not [10].
Therefore, Not (Either [5] or [6].)..
[SC3-1]
Modus Ponens:
If [7], then (If [4], then (If [0], then [1].).). [SC1-2]
[7]
Therefore, If [4], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (If [4], then (If [0], then [1].).).).
If [9], then (If [7], then (If [4], then (If [0], then [1].).).).
Therefore, If [7], then (If [4], then (If [0], then [1].).)..
|
{0: 'An eyeball is a capsule.', 1: 'Some terrains consist of mountains.', 2: 'Cancer is one consequence of mutations caused by faulty DNA repair systems.', 3: 'Offspring have high milk production.', 4: 'Most cities have a cheap and efficient public transport system.', 5: 'Magnetic therapy is a drug free way of eliminating pain and swelling.', 6: 'Some solitary animals have snouts.', 7: 'Exhortation is communication.', 8: 'Intensity discharge lamps contain blue light.', 9: 'Hummers like to perch in a protected area before flying to the feeder.', 10: 'Some bats live in England.'}
| 5 |
4,698 |
['On the condition that sugar increases bacterial growth, it is definitely the case that the claim that skiers are at greater risk for knee injuries is false.', "Given that most intelligent mammals have round heads, it can be inferred that if some people mistakenly believe that sugar increases bacterial growth, then physical experiences are important for children's development.", 'Many people rightly believe that most intelligent mammals have round heads.', "Assuming female mosquitoes require a blood meal to lay eggs, we know that if some people mistakenly believe that sugar increases bacterial growth, then some people mistakenly believe that physical experiences are important for children's development.", 'When the statement, female mosquitoes require a blood meal to lay eggs, does not hold is true, it follows that coral larvae settle at a higher frequency on red surfaces.', 'It is not the case that coral larvae settle at a higher frequency on red surfaces.']
|
On the condition that sugar increases bacterial growth, it is definitely the case that the claim that skiers are at greater risk for knee injuries is false. Given that most intelligent mammals have round heads, it can be inferred that if some people mistakenly believe that sugar increases bacterial growth, then physical experiences are important for children's development. Many people rightly believe that most intelligent mammals have round heads. Assuming female mosquitoes require a blood meal to lay eggs, we know that if some people mistakenly believe that sugar increases bacterial growth, then some people mistakenly believe that physical experiences are important for children's development. When the statement, female mosquitoes require a blood meal to lay eggs, does not hold is true, it follows that coral larvae settle at a higher frequency on red surfaces. It is not the case that coral larvae settle at a higher frequency on red surfaces.
|
The claim that skiers are at greater risk for knee injuries is false.
|
The claim that skiers are at greater risk for knee injuries is false.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [3], then (If (Not [1].), then [2].).
[3]
Therefore, If (Not [1].), then [2]..
[SC2-2]
Modus Ponens:
If [4], then (If (Not [1].), then (Not [2].).).
[4] [SC2-3]
Therefore, If (Not [1].), then (Not [2].)..
[SC2-3]
Modus Tonens:
If (Not [4].), then [5].
Not [5].
Therefore, [4].
|
{0: 'Skiers are at greater risk for knee injuries.', 1: 'Sugar increases bacterial growth.', 2: "Physical experiences are important for children's development.", 3: 'Most intelligent mammals have round heads.', 4: 'Female mosquitoes require a blood meal to lay eggs.', 5: 'Coral larvae settle at a higher frequency on red surfaces.'}
| 5 |
4,251 |
['Those that suggest some women reduce labor are wrong.', 'Once we know it is not the case that if it is a common misconception that inability mays have direct consequences, then some women reduce labor, we also know that the statement, spiders make webbing, does not hold.', 'Should it be the case that evergreens are trees that have green leaves all year round, it follows that if it is not true that if it is not the case that if it is a common misconception that inability mays have direct consequences, then some women reduce labor, then spiders make webbing, then individual citizens develop success.', 'It is rational to agree that evergreens are trees that have green leaves all year round.', 'At least one of two things is true: parasitic diseases affect humans, or either a parsnip is a root or juice is located in gyms.', 'On the condition that parasitic diseases affect humans, it is definitely the case that some people mistakenly believe that individual citizens develop success.', 'Once we know either a parsnip is a root or juice is located in gyms, we also know that some people mistakenly believe that individual citizens develop success.']
|
Those that suggest some women reduce labor are wrong. Once we know it is not the case that if it is a common misconception that inability mays have direct consequences, then some women reduce labor, we also know that the statement, spiders make webbing, does not hold. Should it be the case that evergreens are trees that have green leaves all year round, it follows that if it is not true that if it is not the case that if it is a common misconception that inability mays have direct consequences, then some women reduce labor, then spiders make webbing, then individual citizens develop success. It is rational to agree that evergreens are trees that have green leaves all year round. At least one of two things is true: parasitic diseases affect humans, or either a parsnip is a root or juice is located in gyms. On the condition that parasitic diseases affect humans, it is definitely the case that some people mistakenly believe that individual citizens develop success. Once we know either a parsnip is a root or juice is located in gyms, we also know that some people mistakenly believe that individual citizens develop success.
|
inability mays have direct consequences.
|
Inability needs attention.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [3].).
[7]
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [3]..
[SC2-3]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not [3].).
If (Either [5] or [6].), then (Not [3].).
Therefore, Not [3]..
|
{0: 'Inability mays have direct consequences.', 1: 'Some women reduce labor.', 2: 'Spiders make webbing.', 3: 'Individual citizens develop success.', 4: 'Parasitic diseases affect humans.', 5: 'A parsnip is a root.', 6: 'Juice is located in gyms.', 7: 'Evergreens are trees that have green leaves all year round.'}
| 5 |
4,783 |
['Provided that married women have lower rates of depression than single women, we know that if either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom, then authors use definition.', 'It is true that married women have lower rates of depression than single women.', 'Either one or both of these statements are true: female sex hormone estrogens cause slight growth, or either switches are the brains of a network or hyenas bite necks.', 'Should it be the case that female sex hormone estrogens cause slight growth, it follows that either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom.', 'There is good reason to believe that either yellow flowers arise from leaf axils as do tendrils or if either switches are the brains of a network or hyenas bite necks, then either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom.', 'There is good reason to believe that either neonatal myasthenia is a transient, maternally acquired immune condition or genital mutilation is a crime.', 'If neonatal myasthenia is a transient, maternally acquired immune condition, then it is a common misconception that yellow flowers arise from leaf axils as do tendrils.', 'Provided that genital mutilation is a crime, we know that it is a common misconception that yellow flowers arise from leaf axils as do tendrils.']
|
Provided that married women have lower rates of depression than single women, we know that if either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom, then authors use definition. It is true that married women have lower rates of depression than single women. Either one or both of these statements are true: female sex hormone estrogens cause slight growth, or either switches are the brains of a network or hyenas bite necks. Should it be the case that female sex hormone estrogens cause slight growth, it follows that either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom. There is good reason to believe that either yellow flowers arise from leaf axils as do tendrils or if either switches are the brains of a network or hyenas bite necks, then either genetic variation can explain a substantial portion of the variation in neuron number or stress is what makes families grow, parents mature, and children blossom. There is good reason to believe that either neonatal myasthenia is a transient, maternally acquired immune condition or genital mutilation is a crime. If neonatal myasthenia is a transient, maternally acquired immune condition, then it is a common misconception that yellow flowers arise from leaf axils as do tendrils. Provided that genital mutilation is a crime, we know that it is a common misconception that yellow flowers arise from leaf axils as do tendrils.
|
The statement that states authors use definition is right.
|
Many authors discuss grieving as the process by which people deal with change.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Either [1] or [2].), then [0].).
[3]
Therefore, If (Either [1] or [2].), then [0]..
[SC2-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Either [1] or [2].).
If (Either [5] or [6].), then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If (Either [5] or [6].), then (Either [1] or [2].).).
Not [7]. [SC2-3]
Therefore, If (Either [5] or [6].), then (Either [1] or [2].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Authors use definition.', 1: 'Genetic variation can explain a substantial portion of the variation in neuron number.', 2: 'Stress is what makes families grow, parents mature, and children blossom.', 3: 'Married women have lower rates of depression than single women.', 4: 'Female sex hormone estrogens cause slight growth.', 5: 'Switches are the brains of a network.', 6: 'Hyenas bite necks.', 7: 'Yellow flowers arise from leaf axils as do tendrils.', 8: 'Neonatal myasthenia is a transient, maternally acquired immune condition.', 9: 'Genital mutilation is a crime.'}
| 5 |
4,819 |
['Once we know the claim that many lipids are surfactants and spontaneously form organized structures at interfaces does not reflect reality, we also know that monkeys are located in books.', 'Provided that some severe storms cause snowfall, we know that if the claim that many lipids are surfactants and spontaneously form organized structures at interfaces does not reflect reality, then the claim that monkeys are located in books does not correspond with reality.', 'Assuming neutrons are again the same but with one up quark and two down quarks, we know that some severe storms cause snowfall.', "Whenever it is true that man poses the biggest threat to plants, more so than any other single living organism or species, 'some severe storms cause snowfall' is true.", 'On the condition that many cephalopods use venomous secretions to speed up th e death of their prey, it is definitely the case that either neutrons are again the same but with one up quark and two down quarks or man poses the biggest threat to plants, more so than any other single living organism or species.', 'Assuming cockleburs lower the value of wool, we know that many cephalopods use venomous secretions to speed up th e death of their prey.', 'The statement that states cockleburs lower the value of wool is right.']
|
Once we know the claim that many lipids are surfactants and spontaneously form organized structures at interfaces does not reflect reality, we also know that monkeys are located in books. Provided that some severe storms cause snowfall, we know that if the claim that many lipids are surfactants and spontaneously form organized structures at interfaces does not reflect reality, then the claim that monkeys are located in books does not correspond with reality. Assuming neutrons are again the same but with one up quark and two down quarks, we know that some severe storms cause snowfall. Whenever it is true that man poses the biggest threat to plants, more so than any other single living organism or species, 'some severe storms cause snowfall' is true. On the condition that many cephalopods use venomous secretions to speed up th e death of their prey, it is definitely the case that either neutrons are again the same but with one up quark and two down quarks or man poses the biggest threat to plants, more so than any other single living organism or species. Assuming cockleburs lower the value of wool, we know that many cephalopods use venomous secretions to speed up th e death of their prey. The statement that states cockleburs lower the value of wool is right.
|
It is the case that many lipids are surfactants and spontaneously form organized structures at interfaces.
|
Those that suggest many lipids are surfactants and spontaneously form organized structures at interfaces are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).).
[2] [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then [2].
If [4], then [2].
Therefore, [2].
[SC1-3]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5] [SC2-4]
Therefore, Either [3] or [4]..
[SC2-4]
Modus Ponens:
If [6], then [5].
[6]
Therefore, [5].
|
{0: 'Many lipids are surfactants and spontaneously form organized structures at interfaces.', 1: 'Monkeys are located in books.', 2: 'Some severe storms cause snowfall.', 3: 'Neutrons are again the same but with one up quark and two down quarks.', 4: 'Man poses the biggest threat to plants, more so than any other single living organism or species.', 5: 'Many cephalopods use venomous secretions to speed up th e death of their prey.', 6: 'Cockleburs lower the value of wool.'}
| 5 |
4,141 |
['It is a simple truth that spheres have (part) sections.', 'When some people mistakenly believe that woodpeckers have definite economic importance is true, it follows that elderberry flowers are a potential rival for echinacea.', 'We know that either mammals evolve from Cretaceous ancestors in isolated groups on continental landmasses or woodchucks often dig many side tunnels and two or three back entrances.', "So long as mammals evolve from Cretaceous ancestors in isolated groups on continental landmasses, 'if spheres have (part) sections, then if woodpeckers have definite economic importance, then style refers to the investment style or philosophy to which a company is most likely to appeal' is true.", 'Assuming woodchucks often dig many side tunnels and two or three back entrances, we know that if spheres have (part) sections, then if woodpeckers have definite economic importance, then style refers to the investment style or philosophy to which a company is most likely to appeal.', 'If sexual assault is mostly interracial, then some people mistakenly believe that elderberry flowers are a potential rival for echinacea.', 'The claim that sexual assault is mostly interracial is true.']
|
It is a simple truth that spheres have (part) sections. When some people mistakenly believe that woodpeckers have definite economic importance is true, it follows that elderberry flowers are a potential rival for echinacea. We know that either mammals evolve from Cretaceous ancestors in isolated groups on continental landmasses or woodchucks often dig many side tunnels and two or three back entrances. So long as mammals evolve from Cretaceous ancestors in isolated groups on continental landmasses, 'if spheres have (part) sections, then if woodpeckers have definite economic importance, then style refers to the investment style or philosophy to which a company is most likely to appeal' is true. Assuming woodchucks often dig many side tunnels and two or three back entrances, we know that if spheres have (part) sections, then if woodpeckers have definite economic importance, then style refers to the investment style or philosophy to which a company is most likely to appeal. If sexual assault is mostly interracial, then some people mistakenly believe that elderberry flowers are a potential rival for echinacea. The claim that sexual assault is mostly interracial is true.
|
The statement 'style refers to the investment style or philosophy to which a company is most likely to appeal' can be considered true.
|
Style is the expression of the writer s personality.
|
Uncertain
|
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]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then (If [1], then [0].).).
If [5], then (If [2], then (If [1], then [0].).).
Therefore, If [2], then (If [1], then [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If [6], then (Not [3].).
[6]
Therefore, Not [3]..
|
{0: 'Style refers to the investment style or philosophy to which a company is most likely to appeal.', 1: 'Woodpeckers have definite economic importance.', 2: 'Spheres have (part) sections.', 3: 'Elderberry flowers are a potential rival for echinacea.', 4: 'Mammals evolve from Cretaceous ancestors in isolated groups on continental landmasses.', 5: 'Woodchucks often dig many side tunnels and two or three back entrances.', 6: 'Sexual assault is mostly interracial.'}
| 5 |
4,316 |
["So long as it is a common misconception that if some breathe reptiles inhabit sea, then plunder is classified as a heinous crime punishable with death, 'winter is cold and snowy, especially in the Ardennes' is true.", "Should it be the case that it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, it follows that the notion that 'if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser' is untrue.", 'It is a fact that either if journalists are agents of the police, profit, war and state-terror around the world, then some animals are located in pasture or if it is a common misconception that if some breathe reptiles inhabit sea, then plunder is classified as a heinous crime punishable with death, then the statement, winter is cold and snowy, especially in the Ardennes, does not hold.', 'The statement, if journalists are agents of the police, profit, war and state-terror around the world, then some animals are located in pasture, does not hold.', 'We know that either cartesian dualism is, of course, traditionally associated with the view that animals lack minds or protein is needed for body repair of muscles, tissue, brain, heart and other body organs.', 'When cartesian dualism is, of course, traditionally associated with the view that animals lack minds is true, it follows that if it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, then if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser.', 'One may reasonably assume that if protein is needed for body repair of muscles, tissue, brain, heart and other body organs, then if it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, then if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser.']
|
So long as it is a common misconception that if some breathe reptiles inhabit sea, then plunder is classified as a heinous crime punishable with death, 'winter is cold and snowy, especially in the Ardennes' is true. Should it be the case that it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, it follows that the notion that 'if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser' is untrue. It is a fact that either if journalists are agents of the police, profit, war and state-terror around the world, then some animals are located in pasture or if it is a common misconception that if some breathe reptiles inhabit sea, then plunder is classified as a heinous crime punishable with death, then the statement, winter is cold and snowy, especially in the Ardennes, does not hold. The statement, if journalists are agents of the police, profit, war and state-terror around the world, then some animals are located in pasture, does not hold. We know that either cartesian dualism is, of course, traditionally associated with the view that animals lack minds or protein is needed for body repair of muscles, tissue, brain, heart and other body organs. When cartesian dualism is, of course, traditionally associated with the view that animals lack minds is true, it follows that if it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, then if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser. One may reasonably assume that if protein is needed for body repair of muscles, tissue, brain, heart and other body organs, then if it is not the case that if some breathe reptiles inhabit sea, then some people mistakenly believe that plunder is classified as a heinous crime punishable with death, then if many germs live in our bodies or are common in our surroundings, then lynx is a text only browser.
|
The claim that some breathe reptiles inhabit sea is false.
|
The statement 'some breathe reptiles inhabit sea' can be considered true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [4].
If (Not (If [0], then [1].).), then (Not [4].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not (If [0], then [1].).), then (Not [4].).).
Not (If [7], then [8].).
Therefore, If (Not (If [0], then [1].).), then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then (If [2], then [3].). [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not (If [2], then [3].).).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).).
If [6], then (If (Not (If [0], then (Not [1].).).), then (If [2], then [3].).).
Therefore, If (Not (If [0], then (Not [1].).).), then (If [2], then [3].)..
|
{0: 'Some breathe reptiles inhabit sea.', 1: 'Plunder is classified as a heinous crime punishable with death.', 2: 'Many germs live in our bodies or are common in our surroundings.', 3: 'Lynx is a text only browser.', 4: 'Winter is cold and snowy, especially in the Ardennes.', 5: 'Cartesian dualism is, of course, traditionally associated with the view that animals lack minds.', 6: 'Protein is needed for body repair of muscles, tissue, brain, heart and other body organs.', 7: 'Journalists are agents of the police, profit, war and state-terror around the world.', 8: 'Some animals are located in pasture.'}
| 5 |
4,587 |
['When some nuclei have electric charge is true, it follows that leg kittiwakes have expectancy.', 'It is a fact that either either antioxidants are compounds, such as vitamins A, C, and E, which are found in foods or dormant oils are applied in the spring to destroy insect eggs or if leg kittiwakes have expectancy, then sociopaths can be criminals.', 'Those that suggest either antioxidants are compounds, such as vitamins A, C, and E, which are found in foods or dormant oils are applied in the spring to destroy insect eggs are wrong.', 'We know that either some hookworms have natural secretion or a professor is an academic.', 'Assuming a professor is an academic, we know that if leg kittiwakes have expectancy, then the claim that sociopaths can be criminals is false.', 'On the condition that the statement that states if some hookworms have natural secretion, then if leg kittiwakes have expectancy, then the claim that sociopaths can be criminals is false is false, it is definitely the case that insects fall into the cone, drown, and are digested.', 'Those that suggest insects fall into the cone, drown, and are digested are wrong.']
|
When some nuclei have electric charge is true, it follows that leg kittiwakes have expectancy. It is a fact that either either antioxidants are compounds, such as vitamins A, C, and E, which are found in foods or dormant oils are applied in the spring to destroy insect eggs or if leg kittiwakes have expectancy, then sociopaths can be criminals. Those that suggest either antioxidants are compounds, such as vitamins A, C, and E, which are found in foods or dormant oils are applied in the spring to destroy insect eggs are wrong. We know that either some hookworms have natural secretion or a professor is an academic. Assuming a professor is an academic, we know that if leg kittiwakes have expectancy, then the claim that sociopaths can be criminals is false. On the condition that the statement that states if some hookworms have natural secretion, then if leg kittiwakes have expectancy, then the claim that sociopaths can be criminals is false is false, it is definitely the case that insects fall into the cone, drown, and are digested. Those that suggest insects fall into the cone, drown, and are digested are wrong.
|
The notion that 'some nuclei have electric charge' is untrue.
|
The statement 'some nuclei contain chloroplasts' can be considered false.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If [1], then [2].).
Not (Either [3] or [4].).
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then (Not [2].).). [SC2-3]
If [6], then (If [1], then (Not [2].).).
Therefore, If [1], then (Not [2].)..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (If [1], then (Not [2].).).).), then [7].
Not [7].
Therefore, If [5], then (If [1], then (Not [2].).)..
|
{0: 'Some nuclei have electric charge.', 1: 'Leg kittiwakes have expectancy.', 2: 'Sociopaths can be criminals.', 3: 'Antioxidants are compounds, such as vitamins A, C, and E, which are found in foods.', 4: 'Dormant oils are applied in the spring to destroy insect eggs.', 5: 'Some hookworms have natural secretion.', 6: 'A professor is an academic.', 7: 'Insects fall into the cone, drown, and are digested.'}
| 5 |
4,331 |
['One may reasonably assume that if beetles live in terrestrial habitats, then most substances have a solid form, a liquid form and a gaseous form.', 'We know that at least one of two things is true: art therapists use the creative process as a catalyst for change, or either enzyme digestion is a biological process which acts directly on odor producing or black rhinos use senses.', 'Once we know art therapists use the creative process as a catalyst for change, we also know that beetles live in terrestrial habitats.', 'If either enzyme digestion is a biological process which acts directly on odor producing or black rhinos use senses, then beetles live in terrestrial habitats.', 'Provided that matter is solids, liquids and gases, we know that married men have lower rates of depression than single men.', "So long as the claim that if most substances have a solid form, a liquid form and a gaseous form, then matter is solids, liquids and gases has no merit, 'sultan isa individual' is true.", 'One may reasonably assume that if the claim that if most substances have a solid form, a liquid form and a gaseous form, then matter is solids, liquids and gases has no merit, then it is not true that sultan isa individual.']
|
One may reasonably assume that if beetles live in terrestrial habitats, then most substances have a solid form, a liquid form and a gaseous form. We know that at least one of two things is true: art therapists use the creative process as a catalyst for change, or either enzyme digestion is a biological process which acts directly on odor producing or black rhinos use senses. Once we know art therapists use the creative process as a catalyst for change, we also know that beetles live in terrestrial habitats. If either enzyme digestion is a biological process which acts directly on odor producing or black rhinos use senses, then beetles live in terrestrial habitats. Provided that matter is solids, liquids and gases, we know that married men have lower rates of depression than single men. So long as the claim that if most substances have a solid form, a liquid form and a gaseous form, then matter is solids, liquids and gases has no merit, 'sultan isa individual' is true. One may reasonably assume that if the claim that if most substances have a solid form, a liquid form and a gaseous form, then matter is solids, liquids and gases has no merit, then it is not true that sultan isa individual.
|
The idea that married men have lower rates of depression than single men is true.
|
The claim that married men have lower rates of depression than single men does not reflect reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [5].
If [5], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If [5], then [6]. [SC1-3]
If [6], then [0].
Therefore, If [5], then [0]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then [7].
If (Not (If [5], then [6].).), then (Not [7].).
Therefore, If [5], then [6]..
[SC2-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].).
If [2], then [1].
If (Either [3] or [4].), then [1].
Therefore, [1].
|
{0: 'Married men have lower rates of depression than single men.', 1: 'Beetles live in terrestrial habitats.', 2: 'Art therapists use the creative process as a catalyst for change.', 3: 'Enzyme digestion is a biological process which acts directly on odor producing.', 4: 'Black rhinos use senses.', 5: 'Most substances have a solid form, a liquid form and a gaseous form.', 6: 'Matter is solids, liquids and gases.', 7: 'Sultan isa individual.'}
| 5 |
4,295 |
['We know that either either most penguins feed on small fish or cholesterol is made by healthy livers of all animals or angiosperms are vascular plants.', 'The claim that toastmasters is a club for people who want to work on public speaking skills has no merit.', 'Once we know angiosperms are vascular plants, we also know that carbon dioxide is a greenhouse gas linked to global warming.', "Assuming carbon dioxide is a greenhouse gas linked to global warming, we know that the statement that 'wetlands are an important and valuable ecological resource' is incorrect.", 'It is rational to believe that either wild turkeys have better eyesights or teasers are devices.', "So long as wild turkeys have better eyesights, 'either toastmasters is a club for people who want to work on public speaking skills or if either most penguins feed on small fish or cholesterol is made by healthy livers of all animals, then the statement that 'wetlands are an important and valuable ecological resource' is incorrect' is true.", "Whenever it is true that scientists chemically analyze the fish's otoliths - also known as earstones, 'if teasers are devices, then either toastmasters is a club for people who want to work on public speaking skills or if either most penguins feed on small fish or cholesterol is made by healthy livers of all animals, then the statement that 'wetlands are an important and valuable ecological resource' is incorrect' is true.", "The statement that states scientists chemically analyze the fish's otoliths - also known as earstones is right."]
|
We know that either either most penguins feed on small fish or cholesterol is made by healthy livers of all animals or angiosperms are vascular plants. The claim that toastmasters is a club for people who want to work on public speaking skills has no merit. Once we know angiosperms are vascular plants, we also know that carbon dioxide is a greenhouse gas linked to global warming. Assuming carbon dioxide is a greenhouse gas linked to global warming, we know that the statement that 'wetlands are an important and valuable ecological resource' is incorrect. It is rational to believe that either wild turkeys have better eyesights or teasers are devices. So long as wild turkeys have better eyesights, 'either toastmasters is a club for people who want to work on public speaking skills or if either most penguins feed on small fish or cholesterol is made by healthy livers of all animals, then the statement that 'wetlands are an important and valuable ecological resource' is incorrect' is true. Whenever it is true that scientists chemically analyze the fish's otoliths - also known as earstones, 'if teasers are devices, then either toastmasters is a club for people who want to work on public speaking skills or if either most penguins feed on small fish or cholesterol is made by healthy livers of all animals, then the statement that 'wetlands are an important and valuable ecological resource' is incorrect' is true. The statement that states scientists chemically analyze the fish's otoliths - also known as earstones is right.
|
The statement that 'wetlands are an important and valuable ecological resource' is incorrect.
|
The claim that wetlands are important to America has no merit.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If (Either [1] or [2].), then (Not [0].).). [SC1-2]
Not [5].
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [5] or (If (Either [1] or [2].), then (Not [0].).).).
If [7], then (Either [5] or (If (Either [1] or [2].), then (Not [0].).).). [SC3-3]
Therefore, Either [5] or (If (Either [1] or [2].), then (Not [0].).)..
[SC3-3]
Modus Ponens:
If [8], then (If [7], then (Either [5] or (If (Either [1] or [2].), then (Not [0].).).).).
[8]
Therefore, If [7], then (Either [5] or (If (Either [1] or [2].), then (Not [0].).).)..
[SC3-1]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (Not [0].).
Therefore, If [3], then (Not [0].)..
|
{0: 'Wetlands are an important and valuable ecological resource.', 1: 'Most penguins feed on small fish.', 2: 'Cholesterol is made by healthy livers of all animals.', 3: 'Angiosperms are vascular plants.', 4: 'Carbon dioxide is a greenhouse gas linked to global warming.', 5: 'Toastmasters is a club for people who want to work on public speaking skills.', 6: 'Wild turkeys have better eyesights.', 7: 'Teasers are devices.', 8: "Scientists chemically analyze the fish's otoliths - also known as earstones."}
| 5 |
4,262 |
['It is a fact that either either stonework is masonry or children have poor appetite or either sovereigns have (part) body substances or multiculturalism is broader than ethnicity.', 'One may reasonably assume that if either stonework is masonry or children have poor appetite, then chemical energy is potential, the energy stored in the chemical bonds.', "Should it be the case that it is not true that if either sovereigns have (part) body substances or multiculturalism is broader than ethnicity, then astronomers refer to Venus as Earth's sister planet, it follows that colorectal cancer can strike men and women at any age.", 'It is not true that colorectal cancer can strike men and women at any age.', "So long as it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, 'hashish oil is a liquid extracted from hashish' is true.", "Assuming it is not true that if it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, then the claim that hashish oil is a liquid extracted from hashish does not reflect reality, we know that timber is one of the country's most important export products.", "Whenever it is true that it is not true that if it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, then the claim that hashish oil is a liquid extracted from hashish does not reflect reality, 'the statement, timber is one of the country's most important export products, does not hold' is true."]
|
It is a fact that either either stonework is masonry or children have poor appetite or either sovereigns have (part) body substances or multiculturalism is broader than ethnicity. One may reasonably assume that if either stonework is masonry or children have poor appetite, then chemical energy is potential, the energy stored in the chemical bonds. Should it be the case that it is not true that if either sovereigns have (part) body substances or multiculturalism is broader than ethnicity, then astronomers refer to Venus as Earth's sister planet, it follows that colorectal cancer can strike men and women at any age. It is not true that colorectal cancer can strike men and women at any age. So long as it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, 'hashish oil is a liquid extracted from hashish' is true. Assuming it is not true that if it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, then the claim that hashish oil is a liquid extracted from hashish does not reflect reality, we know that timber is one of the country's most important export products. Whenever it is true that it is not true that if it is not the case that if chemical energy is potential, the energy stored in the chemical bonds, then astronomers refer to Venus as Earth's sister planet, then the claim that hashish oil is a liquid extracted from hashish does not reflect reality, 'the statement, timber is one of the country's most important export products, does not hold' is true.
|
It is a simple truth that astronomers refer to Venus as Earth's sister planet.
|
The statement that states astronomers refer to Venus as Earth's sister planet is false.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or (Either [3] or [4].).
If (Either [1] or [2].), then [0]. [SC2-1]
If (Either [3] or [4].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (Either [1] or [2].), then [6].
If [6], then [0]. [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [6], then [0].).), then [7].
If (Not (If [6], then [0].).), then (Not [7].). [SC2-3]
Therefore, If [6], then [0]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [6], then [0].).), then (Not [7].).).), then [8].
If (Not (If (Not (If [6], then [0].).), then (Not [7].).).), then (Not [8].).
Therefore, If (Not (If [6], then [0].).), then (Not [7].)..
[SC3-1]
Modus Tonens:
If (Not (If (Either [3] or [4].), then [0].).), then [5].
Not [5].
Therefore, If (Either [3] or [4].), then [0]..
|
{0: "Astronomers refer to Venus as Earth's sister planet.", 1: 'Stonework is masonry.', 2: 'Children have poor appetite.', 3: 'Sovereigns have (part) body substances.', 4: 'Multiculturalism is broader than ethnicity.', 5: 'Colorectal cancer can strike men and women at any age.', 6: 'Chemical energy is potential, the energy stored in the chemical bonds.', 7: 'Hashish oil is a liquid extracted from hashish.', 8: "Timber is one of the country's most important export products."}
| 5 |
4,432 |
['Once we know selective forces favor the individuals of both sexes who leave behind the most offspring, we also know that the claim that nerves heat the body does not reflect reality.', 'It is a fact that either financial ratios are ratios or curricula have (part) class periods.', 'If curricula have (part) class periods, then selective forces favor the individuals of both sexes who leave behind the most offspring.', "Whenever it is true that some people mistakenly believe that if administration is bodies, then the claim that nerves heat the body does not reflect reality, 'if wood is a relatively good insulator because of the air spaces it contains, then refinings are manufacturing' is true.", 'The claim that if wood is a relatively good insulator because of the air spaces it contains, then refinings are manufacturing does not correspond with reality.', 'Those that suggest realism is the second oldest school of philosophy are wrong.', "So long as industries typically start slowly with limited growth, 'either realism is the second oldest school of philosophy or if financial ratios are ratios, then administration is bodies' is true.", 'Those that suggest industries typically start slowly with limited growth are right.']
|
Once we know selective forces favor the individuals of both sexes who leave behind the most offspring, we also know that the claim that nerves heat the body does not reflect reality. It is a fact that either financial ratios are ratios or curricula have (part) class periods. If curricula have (part) class periods, then selective forces favor the individuals of both sexes who leave behind the most offspring. Whenever it is true that some people mistakenly believe that if administration is bodies, then the claim that nerves heat the body does not reflect reality, 'if wood is a relatively good insulator because of the air spaces it contains, then refinings are manufacturing' is true. The claim that if wood is a relatively good insulator because of the air spaces it contains, then refinings are manufacturing does not correspond with reality. Those that suggest realism is the second oldest school of philosophy are wrong. So long as industries typically start slowly with limited growth, 'either realism is the second oldest school of philosophy or if financial ratios are ratios, then administration is bodies' is true. Those that suggest industries typically start slowly with limited growth are right.
|
The claim that nerves heat the body does not reflect reality.
|
The claim that nerves heat the body does not reflect reality.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [2].
Therefore, Either [1] or [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [3], then [1].). [SC1-3]
Not [7].
Therefore, If [3], then [1]..
[SC1-3]
Modus Ponens:
If [8], then (Either [7] or (If [3], then [1].).).
[8]
Therefore, Either [7] or (If [3], then [1].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then (If [5], then [6].).
Not (If [5], then [6].).
Therefore, If [1], then (Not [0].)..
|
{0: 'Nerves heat the body.', 1: 'Administration is bodies.', 2: 'Selective forces favor the individuals of both sexes who leave behind the most offspring.', 3: 'Financial ratios are ratios.', 4: 'Curricula have (part) class periods.', 5: 'Wood is a relatively good insulator because of the air spaces it contains.', 6: 'Refinings are manufacturing.', 7: 'Realism is the second oldest school of philosophy.', 8: 'Industries typically start slowly with limited growth.'}
| 5 |
4,862 |
['It is fair to say that most herbivores require plants.', 'Those that suggest a racquetball is a ball are wrong.', 'One may reasonably assume that if most herbivores require plants, then some hydrogen has positive charge.', 'Once we know some hydrogen has positive charge, we also know that either winter snow allows for ski-ing and all other winter sports or the claim that host plants include weeds is false.', "When the notion that 'if winter snow allows for ski-ing and all other winter sports, then a racquetball is a ball' is untrue is true, it follows that dignity is attributed only to sacredness.", 'It is a common misconception that dignity is attributed only to sacredness.']
|
It is fair to say that most herbivores require plants. Those that suggest a racquetball is a ball are wrong. One may reasonably assume that if most herbivores require plants, then some hydrogen has positive charge. Once we know some hydrogen has positive charge, we also know that either winter snow allows for ski-ing and all other winter sports or the claim that host plants include weeds is false. When the notion that 'if winter snow allows for ski-ing and all other winter sports, then a racquetball is a ball' is untrue is true, it follows that dignity is attributed only to sacredness. It is a common misconception that dignity is attributed only to sacredness.
|
The claim that host plants include weeds is false.
|
The statement that states host plants include weeds is right.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or (Not [0].).). [SC1-2]
[3]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (Either [1] or (Not [0].).).
Therefore, If [3], then (Either [1] or (Not [0].).)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [4].
Not [4].
Therefore, If [1], then [2]..
|
{0: 'Host plants include weeds.', 1: 'Winter snow allows for ski-ing and all other winter sports.', 2: 'A racquetball is a ball.', 3: 'Most herbivores require plants.', 4: 'Dignity is attributed only to sacredness.', 5: 'Some hydrogen has positive charge.'}
| 5 |
4,582 |
['pesticides kill both good and bad bugs, and can harm birds and fish too.', 'Given that the claim that either most stalks produce leaves or locks are used for locks is false, it can be inferred that some archers also hold their arm fully extended as if pointing at the target.', 'Provided that the claim that either most stalks produce leaves or locks are used for locks is false, we know that we know that the claim that some archers also hold their arm fully extended as if pointing at the target is false.', "Whenever it is true that it is a common misconception that if most stalks produce leaves, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit, 'soybeans are capable of tolerating high insect populations without reducing yields' is true.", 'Once we know it is a common misconception that if most stalks produce leaves, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit, we also know that it is not the case that soybeans are capable of tolerating high insect populations without reducing yields.', 'Should it be the case that locks are used for locks, it follows that most aquatic insects remain underwater in the immature stages and leave the stream only as adults.', 'One may reasonably assume that if most aquatic insects remain underwater in the immature stages and leave the stream only as adults, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit.']
|
pesticides kill both good and bad bugs, and can harm birds and fish too. Given that the claim that either most stalks produce leaves or locks are used for locks is false, it can be inferred that some archers also hold their arm fully extended as if pointing at the target. Provided that the claim that either most stalks produce leaves or locks are used for locks is false, we know that we know that the claim that some archers also hold their arm fully extended as if pointing at the target is false. Whenever it is true that it is a common misconception that if most stalks produce leaves, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit, 'soybeans are capable of tolerating high insect populations without reducing yields' is true. Once we know it is a common misconception that if most stalks produce leaves, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit, we also know that it is not the case that soybeans are capable of tolerating high insect populations without reducing yields. Should it be the case that locks are used for locks, it follows that most aquatic insects remain underwater in the immature stages and leave the stream only as adults. One may reasonably assume that if most aquatic insects remain underwater in the immature stages and leave the stream only as adults, then if pesticides kill both good and bad bugs, and can harm birds and fish too, then the claim that teams make contributions has no merit.
|
The claim that teams make contributions has no merit.
|
The claim that teams make contributions has no merit.
|
TRUE
|
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]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [5].
If (Not (Either [2] or [3].).), then (Not [5].).
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If [1], then (Not [0].).).).), then [4].
If (Not (If [2], then (If [1], then (Not [0].).).).), then (Not [4].).
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC3-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If [1], then (Not [0].).).
Therefore, If [3], then (If [1], then (Not [0].).)..
|
{0: 'Teams make contributions.', 1: 'Pesticides kill both good and bad bugs, and can harm birds and fish too.', 2: 'Most stalks produce leaves.', 3: 'Locks are used for locks.', 4: 'Soybeans are capable of tolerating high insect populations without reducing yields.', 5: 'Some archers also hold their arm fully extended as if pointing at the target.', 6: 'Most aquatic insects remain underwater in the immature stages and leave the stream only as adults.'}
| 5 |
4,272 |
['Should it be the case that some people mistakenly believe that either loads come from the forces which are placed on a structure or soldiers to take steps, it follows that agricultural droughts are droughts that affect crop production or the ecology of the range .', 'Assuming hygiene water is reclaimed for re-use as hygiene water, we know that if agricultural droughts are droughts that affect crop production or the ecology of the range , then many cities have their own animal services or animal control.', 'Provided that defensive programming are computer programming, we know that if agricultural droughts are droughts that affect crop production or the ecology of the range , then many cities have their own animal services or animal control.', 'If many cities have their own animal services or animal control, then awareness isa knowledge.', 'Given that many cities have their own animal services or animal control, it can be inferred that the statement that states awareness isa knowledge is false.', 'Either effluents flow through the bed and remain below the surface of the media or cabs are gems that are cut with a flat bottom and a curved or domed top.', 'Should it be the case that effluents flow through the bed and remain below the surface of the media, it follows that either hygiene water is reclaimed for re-use as hygiene water or defensive programming are computer programming.', 'One may reasonably assume that if cabs are gems that are cut with a flat bottom and a curved or domed top, then either hygiene water is reclaimed for re-use as hygiene water or defensive programming are computer programming.']
|
Should it be the case that some people mistakenly believe that either loads come from the forces which are placed on a structure or soldiers to take steps, it follows that agricultural droughts are droughts that affect crop production or the ecology of the range . Assuming hygiene water is reclaimed for re-use as hygiene water, we know that if agricultural droughts are droughts that affect crop production or the ecology of the range , then many cities have their own animal services or animal control. Provided that defensive programming are computer programming, we know that if agricultural droughts are droughts that affect crop production or the ecology of the range , then many cities have their own animal services or animal control. If many cities have their own animal services or animal control, then awareness isa knowledge. Given that many cities have their own animal services or animal control, it can be inferred that the statement that states awareness isa knowledge is false. Either effluents flow through the bed and remain below the surface of the media or cabs are gems that are cut with a flat bottom and a curved or domed top. Should it be the case that effluents flow through the bed and remain below the surface of the media, it follows that either hygiene water is reclaimed for re-use as hygiene water or defensive programming are computer programming. One may reasonably assume that if cabs are gems that are cut with a flat bottom and a curved or domed top, then either hygiene water is reclaimed for re-use as hygiene water or defensive programming are computer programming.
|
We know that either loads come from the forces which are placed on a structure or soldiers to take steps.
|
Either one or both of these statements are true: load increases consumption, or soldiers excrete toxic substances.
|
Uncertain
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2].
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Modus Tonens:
If [2], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [2], then [3].).
If [6], then (If [2], then [3].).
Therefore, If [2], then [3]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
|
{0: 'Loads come from the forces which are placed on a structure.', 1: 'Soldiers to take steps.', 2: 'Agricultural droughts are droughts that affect crop production or the ecology of the range .', 3: 'Many cities have their own animal services or animal control.', 4: 'Awareness isa knowledge.', 5: 'Hygiene water is reclaimed for re-use as hygiene water.', 6: 'Defensive programming are computer programming.', 7: 'Effluents flow through the bed and remain below the surface of the media.', 8: 'Cabs are gems that are cut with a flat bottom and a curved or domed top.'}
| 5 |
4,270 |
["Should it be the case that the statement 'some Archaeal features are a unique mixture of both eukaryotic and bacterial processes' can be considered false, it follows that the claim that a preterm baby is a newborn baby does not correspond with reality.", "Whenever it is true that the notion that 'either either most ammonites are smooth-shelled, but some have ridges, knobs, horns, etc or all biological systems require water to be transported through cell membranes or if the statement 'some Archaeal features are a unique mixture of both eukaryotic and bacterial processes' can be considered false, then a preterm baby is a newborn baby' is untrue, 'home ranges grow during the dry season, perhaps because less food and water is available' is true.", "The notion that 'home ranges grow during the dry season, perhaps because less food and water is available' is untrue.", 'When dysgraphia is often misunderstood by parents, teachers, and students is true, it follows that we know that the claim that either most ammonites are smooth-shelled, but some have ridges, knobs, horns, etc or all biological systems require water to be transported through cell membranes is false.', 'There is good reason to believe that either medical abortion is legal or dysgraphia is often misunderstood by parents, teachers, and students.', 'It is a common misconception that medical abortion is legal.']
|
Should it be the case that the statement 'some Archaeal features are a unique mixture of both eukaryotic and bacterial processes' can be considered false, it follows that the claim that a preterm baby is a newborn baby does not correspond with reality. Whenever it is true that the notion that 'either either most ammonites are smooth-shelled, but some have ridges, knobs, horns, etc or all biological systems require water to be transported through cell membranes or if the statement 'some Archaeal features are a unique mixture of both eukaryotic and bacterial processes' can be considered false, then a preterm baby is a newborn baby' is untrue, 'home ranges grow during the dry season, perhaps because less food and water is available' is true. The notion that 'home ranges grow during the dry season, perhaps because less food and water is available' is untrue. When dysgraphia is often misunderstood by parents, teachers, and students is true, it follows that we know that the claim that either most ammonites are smooth-shelled, but some have ridges, knobs, horns, etc or all biological systems require water to be transported through cell membranes is false. There is good reason to believe that either medical abortion is legal or dysgraphia is often misunderstood by parents, teachers, and students. It is a common misconception that medical abortion is legal.
|
The statement that states some Archaeal features are a unique mixture of both eukaryotic and bacterial processes is right.
|
The statement that states some Archaeal features are a unique mixture of both eukaryotic and bacterial processes is right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If (Not [0].), then [1].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then [4].
Not [4].
Therefore, Either (Either [2] or [3].) or (If (Not [0].), then [1].)..
[SC2-2]
Modus Ponens:
If [5], then (Not (Either [2] or [3].).).
[5] [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
|
{0: 'Some Archaeal features are a unique mixture of both eukaryotic and bacterial processes.', 1: 'A preterm baby is a newborn baby.', 2: 'Most ammonites are smooth-shelled, but some have ridges, knobs, horns, etc.', 3: 'All biological systems require water to be transported through cell membranes .', 4: 'Home ranges grow during the dry season, perhaps because less food and water is available.', 5: 'Dysgraphia is often misunderstood by parents, teachers, and students.', 6: 'Medical abortion is legal.'}
| 5 |
4,987 |
['The claim that compassion is someone who listens and really cares is false.', "Provided that the claim that tobacco smoke is clearly a health hazard to smokers and non-smokers alike does not correspond with reality, we know that the notion that 'either some trees require winter protection or circadian rhythms are somewhat more complicated than the simplest sine wave' is untrue.", "We know that either salary tax is calculated by reporting the respective percent on salary's equivalent in lei or infections are often more pathogenic for adult animal than young.", "Once we know salary tax is calculated by reporting the respective percent on salary's equivalent in lei, we also know that compassion is someone who listens and really cares.", "Should it be the case that infections are often more pathogenic for adult animal than young, it follows that if tobacco smoke is clearly a health hazard to smokers and non-smokers alike, then either poverty is one of the biggest barriers to women's health or natural rubber is a polymer of isoprene, and is both a thermoplastic and an elastomer.", 'When sunlight is made up of different wavelengths is true, it follows that if the claim that tobacco smoke is clearly a health hazard to smokers and non-smokers alike does not correspond with reality, then either some trees require winter protection or circadian rhythms are somewhat more complicated than the simplest sine wave.', 'It is the case that sunlight is made up of different wavelengths.']
|
The claim that compassion is someone who listens and really cares is false. Provided that the claim that tobacco smoke is clearly a health hazard to smokers and non-smokers alike does not correspond with reality, we know that the notion that 'either some trees require winter protection or circadian rhythms are somewhat more complicated than the simplest sine wave' is untrue. We know that either salary tax is calculated by reporting the respective percent on salary's equivalent in lei or infections are often more pathogenic for adult animal than young. Once we know salary tax is calculated by reporting the respective percent on salary's equivalent in lei, we also know that compassion is someone who listens and really cares. Should it be the case that infections are often more pathogenic for adult animal than young, it follows that if tobacco smoke is clearly a health hazard to smokers and non-smokers alike, then either poverty is one of the biggest barriers to women's health or natural rubber is a polymer of isoprene, and is both a thermoplastic and an elastomer. When sunlight is made up of different wavelengths is true, it follows that if the claim that tobacco smoke is clearly a health hazard to smokers and non-smokers alike does not correspond with reality, then either some trees require winter protection or circadian rhythms are somewhat more complicated than the simplest sine wave. It is the case that sunlight is made up of different wavelengths.
|
Either poverty is one of the biggest barriers to women's health or natural rubber is a polymer of isoprene, and is both a thermoplastic and an elastomer.
|
The claim that either poverty is one of the biggest barriers to women's health or natural rubber is a polymer of isoprene, and is both a thermoplastic and an elastomer is false.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [5] or (If [2], then (Either [0] or [1].).). [SC1-2]
Not [5].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5].
If [8], then (If [2], then (Either [0] or [1].).).
Therefore, Either [5] or (If [2], then (Either [0] or [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then (Either [3] or [4].). [SC1-2]
If (Not [2].), then (Not (Either [3] or [4].).).
Therefore, [2].
[SC1-2]
Modus Ponens:
If [6], then (If (Not [2].), then (Either [3] or [4].).).
[6]
Therefore, If (Not [2].), then (Either [3] or [4].)..
|
{0: "Poverty is one of the biggest barriers to women's health.", 1: 'Natural rubber is a polymer of isoprene, and is both a thermoplastic and an elastomer.', 2: 'Tobacco smoke is clearly a health hazard to smokers and non-smokers alike.', 3: 'Some trees require winter protection.', 4: 'Circadian rhythms are somewhat more complicated than the simplest sine wave.', 5: 'Compassion is someone who listens and really cares.', 6: 'Sunlight is made up of different wavelengths.', 7: "Salary tax is calculated by reporting the respective percent on salary's equivalent in lei.", 8: 'Infections are often more pathogenic for adult animal than young.'}
| 5 |
4,319 |
['One may reasonably assume that if it is not true that either if a marimba is a musical instrument, then transduction involves DNA transfer by viruses or if euglenas are flagellates, then castles are homes, then general nutrition is covered throughout the lifecycle.', 'If the claim that if if a marimba is a musical instrument, then transduction involves DNA transfer by viruses, then breast cancer begins in the breast is false, then proteins can repair a damaged coat by helping to rebuild the cuticle of the hair shaft.', "The statement 'proteins can repair a damaged coat by helping to rebuild the cuticle of the hair shaft' can be considered false.", 'Should it be the case that the statement, if if euglenas are flagellates, then castles are homes, then breast cancer begins in the breast , does not hold, it follows that string theory says that there are long, one dimensional, strings that float around the universe.', "The notion that 'string theory says that there are long, one dimensional, strings that float around the universe' is untrue.", 'One may reasonably assume that if general nutrition is covered throughout the lifecycle, then biological systems respond to stress by adapting.', 'If general nutrition is covered throughout the lifecycle, then those that suggest biological systems respond to stress by adapting are wrong.']
|
One may reasonably assume that if it is not true that either if a marimba is a musical instrument, then transduction involves DNA transfer by viruses or if euglenas are flagellates, then castles are homes, then general nutrition is covered throughout the lifecycle. If the claim that if if a marimba is a musical instrument, then transduction involves DNA transfer by viruses, then breast cancer begins in the breast is false, then proteins can repair a damaged coat by helping to rebuild the cuticle of the hair shaft. The statement 'proteins can repair a damaged coat by helping to rebuild the cuticle of the hair shaft' can be considered false. Should it be the case that the statement, if if euglenas are flagellates, then castles are homes, then breast cancer begins in the breast , does not hold, it follows that string theory says that there are long, one dimensional, strings that float around the universe. The notion that 'string theory says that there are long, one dimensional, strings that float around the universe' is untrue. One may reasonably assume that if general nutrition is covered throughout the lifecycle, then biological systems respond to stress by adapting. If general nutrition is covered throughout the lifecycle, then those that suggest biological systems respond to stress by adapting are wrong.
|
It is fair to say that breast cancer begins in the breast .
|
Most breast cancer is curable if diagnosed and treated early.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or (If [3], then [4].). [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If (If [3], then [4].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [7].
Not [7]. [SC2-2]
Therefore, Either (If [1], then [2].) or (If [3], then [4].)..
[SC2-2]
Reductio Ad Absurdum:
If [7], then [8].
If [7], then (Not [8].).
Therefore, Not [7]..
[SC2-1]
Modus Tonens:
If (Not (If (If [1], then [2].), then [0].).), then [6].
Not [6].
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Modus Tonens:
If (Not (If (If [3], then [4].), then [0].).), then [5].
Not [5].
Therefore, If (If [3], then [4].), then [0]..
|
{0: 'Breast cancer begins in the breast .', 1: 'A marimba is a musical instrument.', 2: 'Transduction involves DNA transfer by viruses.', 3: 'Euglenas are flagellates.', 4: 'Castles are homes.', 5: 'String theory says that there are long, one dimensional, strings that float around the universe.', 6: 'Proteins can repair a damaged coat by helping to rebuild the cuticle of the hair shaft.', 7: 'General nutrition is covered throughout the lifecycle.', 8: 'Biological systems respond to stress by adapting.'}
| 5 |
4,569 |
["When mechanical efficiency is expressed as a percentage and accounts for all mechanical friction losses is true, it follows that if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false.", 'When the statement that states a ferryboat is a boat is false is true, it follows that stress is considered a major contributor to high blood pressure.', 'It is a common misconception that stress is considered a major contributor to high blood pressure.', 'If gold always has value, always has an international value, then either caliper pistons do jobs or mechanical efficiency is expressed as a percentage and accounts for all mechanical friction losses.', 'gold always has value, always has an international value.', 'There is good reason to believe that either elephants communicate in frequencies below human perception or either smoking is more addictive than cocaine or heroin or saddles are cuts.', "Given that elephants communicate in frequencies below human perception, it can be inferred that if caliper pistons do jobs, then if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false.", "Once we know either smoking is more addictive than cocaine or heroin or saddles are cuts, we also know that if caliper pistons do jobs, then if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false."]
|
When mechanical efficiency is expressed as a percentage and accounts for all mechanical friction losses is true, it follows that if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false. When the statement that states a ferryboat is a boat is false is true, it follows that stress is considered a major contributor to high blood pressure. It is a common misconception that stress is considered a major contributor to high blood pressure. If gold always has value, always has an international value, then either caliper pistons do jobs or mechanical efficiency is expressed as a percentage and accounts for all mechanical friction losses. gold always has value, always has an international value. There is good reason to believe that either elephants communicate in frequencies below human perception or either smoking is more addictive than cocaine or heroin or saddles are cuts. Given that elephants communicate in frequencies below human perception, it can be inferred that if caliper pistons do jobs, then if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false. Once we know either smoking is more addictive than cocaine or heroin or saddles are cuts, we also know that if caliper pistons do jobs, then if a ferryboat is a boat, then the statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false.
|
The statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false.
|
The statement 'most primates exhibit a variety of positional and locomotor behaviors' can be considered false.
|
TRUE
|
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].).). [SC2-2]
If [3], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [2] or [3].).
[5]
Therefore, Either [2] or [3]..
[SC2-2]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If [2], then (If [1], then (Not [0].).).).
If (Either [7] or [8].), then (If [2], then (If [1], then (Not [0].).).).
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [4].
Not [4].
Therefore, [1].
|
{0: 'Most primates exhibit a variety of positional and locomotor behaviors.', 1: 'A ferryboat is a boat.', 2: 'Caliper pistons do jobs.', 3: 'Mechanical efficiency is expressed as a percentage and accounts for all mechanical friction losses.', 4: 'Stress is considered a major contributor to high blood pressure.', 5: 'Gold always has value, always has an international value.', 6: 'Elephants communicate in frequencies below human perception.', 7: 'Smoking is more addictive than cocaine or heroin.', 8: 'Saddles are cuts.'}
| 5 |
4,643 |
["So long as some leaf nodes are part of petioles, 'if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor' is true.", 'When those that suggest if if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor, then if ideas come from inspiration, then families have houses are wrong is true, it follows that selenium is a trace mineral.', 'One may reasonably assume that if superlatives are adjectives, then the claim that if ideas come from inspiration, then families have houses does not reflect reality.', 'The statement that states superlatives are adjectives is right.', 'Either platypuses have (part) plasma membranes or if those that suggest if if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor, then if ideas come from inspiration, then families have houses are wrong, then the statement, selenium is a trace mineral, does not hold.', "The statement 'platypuses have (part) plasma membranes' can be considered false."]
|
So long as some leaf nodes are part of petioles, 'if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor' is true. When those that suggest if if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor, then if ideas come from inspiration, then families have houses are wrong is true, it follows that selenium is a trace mineral. One may reasonably assume that if superlatives are adjectives, then the claim that if ideas come from inspiration, then families have houses does not reflect reality. The statement that states superlatives are adjectives is right. Either platypuses have (part) plasma membranes or if those that suggest if if management analyst is the term used for people who work for government agencies, then fuel cells use hydrogen to produce electricity, and emit only water vapor, then if ideas come from inspiration, then families have houses are wrong, then the statement, selenium is a trace mineral, does not hold. The statement 'platypuses have (part) plasma membranes' can be considered false.
|
Those that suggest some leaf nodes are part of petioles are wrong.
|
Some people mistakenly believe that some leaf nodes are part of guavas.
|
Uncertain
|
Modus Tonens:
If [0], then (If [1], then [2].).
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (If [3], then [4].).).), then [6].
If (Not (If (If [1], then [2].), then (If [3], then [4].).).), then (Not [6].). [SC2-3]
Therefore, If (If [1], then [2].), then (If [3], then [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If (If [1], then [2].), then (If [3], then [4].).).), then (Not [6].).).
Not [7].
Therefore, If (Not (If (If [1], then [2].), then (If [3], then [4].).).), then (Not [6].)..
[SC2-2]
Modus Ponens:
If [5], then (Not (If [3], then [4].).).
[5]
Therefore, Not (If [3], then [4].)..
|
{0: 'Some leaf nodes are part of petioles.', 1: 'Management analyst is the term used for people who work for government agencies.', 2: 'Fuel cells use hydrogen to produce electricity, and emit only water vapor.', 3: 'Ideas come from inspiration.', 4: 'Families have houses.', 5: 'Superlatives are adjectives.', 6: 'Selenium is a trace mineral.', 7: 'Platypuses have (part) plasma membranes.'}
| 5 |
4,142 |
['We know that either natural gas remains the predominant fuel for space heating or some surfaces have exoskeletons.', 'Assuming natural gas remains the predominant fuel for space heating, we know that either pesticide travel in soil or transitions occur at ages.', 'On the condition that some surfaces have exoskeletons, it is definitely the case that either pesticide travel in soil or transitions occur at ages.', "Assuming pesticide travel in soil, we know that the notion that 'liberalism fails to recognize family and sexuality as matters of love and justice' is untrue.", 'One may reasonably assume that if natural gas contains no carbon monoxide, then if pesticide travel in soil, then liberalism fails to recognize family and sexuality as matters of love and justice.', "One may reasonably assume that if the statement 'natural gas contains no carbon monoxide' can be considered false, then either green dot is the equilibrium position or interpersonal communication is occurs when two or more people interact through communication.", 'It is a common misconception that either green dot is the equilibrium position or interpersonal communication is occurs when two or more people interact through communication.']
|
We know that either natural gas remains the predominant fuel for space heating or some surfaces have exoskeletons. Assuming natural gas remains the predominant fuel for space heating, we know that either pesticide travel in soil or transitions occur at ages. On the condition that some surfaces have exoskeletons, it is definitely the case that either pesticide travel in soil or transitions occur at ages. Assuming pesticide travel in soil, we know that the notion that 'liberalism fails to recognize family and sexuality as matters of love and justice' is untrue. One may reasonably assume that if natural gas contains no carbon monoxide, then if pesticide travel in soil, then liberalism fails to recognize family and sexuality as matters of love and justice. One may reasonably assume that if the statement 'natural gas contains no carbon monoxide' can be considered false, then either green dot is the equilibrium position or interpersonal communication is occurs when two or more people interact through communication. It is a common misconception that either green dot is the equilibrium position or interpersonal communication is occurs when two or more people interact through communication.
|
The statement 'transitions occur at ages' is true.
|
Transitions are the links between successive shots in sequences.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [1] or [0].).
If [3], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4]. [SC1-2]
If [1], then (Not [4].).
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [1], then [4].).
[5] [SC2-3]
Therefore, If [1], then [4]..
[SC2-3]
Modus Tonens:
If (Not [5].), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, [5].
|
{0: 'Transitions occur at ages.', 1: 'Pesticide travel in soil.', 2: 'Natural gas remains the predominant fuel for space heating.', 3: 'Some surfaces have exoskeletons.', 4: 'Liberalism fails to recognize family and sexuality as matters of love and justice.', 5: 'Natural gas contains no carbon monoxide.', 6: 'Green dot is the equilibrium position.', 7: 'Interpersonal communication is occurs when two or more people interact through communication.'}
| 5 |
4,202 |
['Assuming many vision problems begin well before children reach school, we know that either mitochondria possess two membranes each, with the inner membrane folding into cristae or a commissary is a store.', 'Once we know color depends on genetic factors, we also know that marine hermit crabs return to water.', 'Provided that those that suggest if marine hermit crabs return to water, then many vision problems begin well before children reach school are wrong, we know that if stewardesses is the longest word typed using only the left hand, then love is the impetus to perfection .', 'The statement, if stewardesses is the longest word typed using only the left hand, then love is the impetus to perfection , does not hold.', "So long as asexual reproduction is when offspring occur from a single parent cell, 'color depends on genetic factors' is true.", 'Many people rightly believe that asexual reproduction is when offspring occur from a single parent cell.']
|
Assuming many vision problems begin well before children reach school, we know that either mitochondria possess two membranes each, with the inner membrane folding into cristae or a commissary is a store. Once we know color depends on genetic factors, we also know that marine hermit crabs return to water. Provided that those that suggest if marine hermit crabs return to water, then many vision problems begin well before children reach school are wrong, we know that if stewardesses is the longest word typed using only the left hand, then love is the impetus to perfection . The statement, if stewardesses is the longest word typed using only the left hand, then love is the impetus to perfection , does not hold. So long as asexual reproduction is when offspring occur from a single parent cell, 'color depends on genetic factors' is true. Many people rightly believe that asexual reproduction is when offspring occur from a single parent cell.
|
It is rational to believe that either mitochondria possess two membranes each, with the inner membrane folding into cristae or a commissary is a store.
|
It is rational to believe that either mitochondria possess two membranes each, with the inner membrane folding into cristae or a commissary is a store.
|
TRUE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then (Either [0] or [1].).
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If [2], then [3].).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, If [2], then [3]..
[SC2-1]
Modus Ponens:
If [4], then [2].
[4] [SC2-2]
Therefore, [2].
[SC2-2]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
|
{0: 'Mitochondria possess two membranes each, with the inner membrane folding into cristae.', 1: 'A commissary is a store.', 2: 'Marine hermit crabs return to water.', 3: 'Many vision problems begin well before children reach school.', 4: 'Color depends on genetic factors.', 5: 'Asexual reproduction is when offspring occur from a single parent cell.', 6: 'Stewardesses is the longest word typed using only the left hand.', 7: 'Love is the impetus to perfection .'}
| 5 |
4,413 |
['We know that the claim that chest radiographs can be useful if the cat is symptomatic is false.', "When the statement 'if the claim that companies focus on critical areas has no merit, then some people mistakenly believe that organs have ability' can be considered false is true, it follows that some people mistakenly believe that infertility is a disease that affects the normal function of the reproductive system.", 'Given that methanol is alcohol, it can be inferred that if it is not true that if the claim that companies focus on critical areas has no merit, then organs have ability, then chest radiographs can be useful if the cat is symptomatic.', "The statement 'methanol is alcohol' can be considered true.", "Provided that the notion that 'if the statement 'if the claim that companies focus on critical areas has no merit, then some people mistakenly believe that organs have ability' can be considered false, then infertility is a disease that affects the normal function of the reproductive system' is untrue, we know that minorities are ages.", 'The claim that minorities are ages does not correspond with reality.']
|
We know that the claim that chest radiographs can be useful if the cat is symptomatic is false. When the statement 'if the claim that companies focus on critical areas has no merit, then some people mistakenly believe that organs have ability' can be considered false is true, it follows that some people mistakenly believe that infertility is a disease that affects the normal function of the reproductive system. Given that methanol is alcohol, it can be inferred that if it is not true that if the claim that companies focus on critical areas has no merit, then organs have ability, then chest radiographs can be useful if the cat is symptomatic. The statement 'methanol is alcohol' can be considered true. Provided that the notion that 'if the statement 'if the claim that companies focus on critical areas has no merit, then some people mistakenly believe that organs have ability' can be considered false, then infertility is a disease that affects the normal function of the reproductive system' is untrue, we know that minorities are ages. The claim that minorities are ages does not correspond with reality.
|
The statement that states companies focus on critical areas is right.
|
Many companies have websites that include job postings.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [3]. [SC1-2]
Not [3].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If (Not [0].), then [1].).), then [3].).
[5]
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [4].
Not [4].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
|
{0: 'Companies focus on critical areas.', 1: 'Organs have ability.', 2: 'Infertility is a disease that affects the normal function of the reproductive system.', 3: 'Chest radiographs can be useful if the cat is symptomatic.', 4: 'Minorities are ages.', 5: 'Methanol is alcohol.'}
| 5 |
4,196 |
["Whenever it is true that those that suggest plants are of vital importance to the maintenance of conditions favourable to life on earth are wrong, 'most energy is produced by nuclei' is true.", 'We know that at least one of two things is true: spirituality helps one to trust and let go of fear, or the statement, most energy is produced by nuclei, does not hold.', "So long as tamoxifen works both as an antiestrogen and a very weak estrogen within the uterus, 'respiratory products have a red band' is true.", 'Given that respiratory products have a red band, it can be inferred that it is not true that spirituality helps one to trust and let go of fear.', 'Should it be the case that it is a common misconception that tamoxifen works both as an antiestrogen and a very weak estrogen within the uterus, it follows that either cold symptoms can include fever, sore throat, and aches and pains, as well as allergy symptoms or some grey foxes use long claws.', 'Those that suggest either cold symptoms can include fever, sore throat, and aches and pains, as well as allergy symptoms or some grey foxes use long claws are wrong.']
|
Whenever it is true that those that suggest plants are of vital importance to the maintenance of conditions favourable to life on earth are wrong, 'most energy is produced by nuclei' is true. We know that at least one of two things is true: spirituality helps one to trust and let go of fear, or the statement, most energy is produced by nuclei, does not hold. So long as tamoxifen works both as an antiestrogen and a very weak estrogen within the uterus, 'respiratory products have a red band' is true. Given that respiratory products have a red band, it can be inferred that it is not true that spirituality helps one to trust and let go of fear. Should it be the case that it is a common misconception that tamoxifen works both as an antiestrogen and a very weak estrogen within the uterus, it follows that either cold symptoms can include fever, sore throat, and aches and pains, as well as allergy symptoms or some grey foxes use long claws. Those that suggest either cold symptoms can include fever, sore throat, and aches and pains, as well as allergy symptoms or some grey foxes use long claws are wrong.
|
The statement 'plants are of vital importance to the maintenance of conditions favourable to life on earth' is true.
|
The statement that states plants are of vital importance to the maintenance of conditions favourable to life on earth is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (Not [2].).
Therefore, If [3], then (Not [2].)..
[SC2-3]
Modus Tonens:
If (Not [3].), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, [3].
|
{0: 'Plants are of vital importance to the maintenance of conditions favourable to life on earth.', 1: 'Most energy is produced by nuclei.', 2: 'Spirituality helps one to trust and let go of fear.', 3: 'Tamoxifen works both as an antiestrogen and a very weak estrogen within the uterus.', 4: 'Cold symptoms can include fever, sore throat, and aches and pains, as well as allergy symptoms.', 5: 'Some grey foxes use long claws.', 6: 'Respiratory products have a red band.'}
| 5 |
4,264 |
['One may reasonably assume that if cubs are totally helpless at birth, with eyes closed until the end of their first week, then the claim that a fence is a barrier has no merit.', 'Once we know the statement, cubs are totally helpless at birth, with eyes closed until the end of their first week, does not hold, we also know that either fresh pasta is a flour, egg and water combination that creates a soft dough or perfect flowers have organs.', 'The claim that tree usually dies before spring does not correspond with reality.', 'Some people mistakenly believe that most weld materials are alloys or mixtures of several constituents.', 'It is rational to believe that either digression is journeys or either most weld materials are alloys or mixtures of several constituents or either tree usually dies before spring or if the statement, cubs are totally helpless at birth, with eyes closed until the end of their first week, does not hold, then the statement, either fresh pasta is a flour, egg and water combination that creates a soft dough or perfect flowers have organs, does not hold.', 'It is not the case that digression is journeys.']
|
One may reasonably assume that if cubs are totally helpless at birth, with eyes closed until the end of their first week, then the claim that a fence is a barrier has no merit. Once we know the statement, cubs are totally helpless at birth, with eyes closed until the end of their first week, does not hold, we also know that either fresh pasta is a flour, egg and water combination that creates a soft dough or perfect flowers have organs. The claim that tree usually dies before spring does not correspond with reality. Some people mistakenly believe that most weld materials are alloys or mixtures of several constituents. It is rational to believe that either digression is journeys or either most weld materials are alloys or mixtures of several constituents or either tree usually dies before spring or if the statement, cubs are totally helpless at birth, with eyes closed until the end of their first week, does not hold, then the statement, either fresh pasta is a flour, egg and water combination that creates a soft dough or perfect flowers have organs, does not hold. It is not the case that digression is journeys.
|
The claim that a fence is a barrier has no merit.
|
The claim that a fence is a barrier has no merit.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (Either [2] or [3].).
If (Not [1].), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not [1].), then (Not (Either [2] or [3].).).). [SC1-3]
Not [4].
Therefore, If (Not [1].), then (Not (Either [2] or [3].).)..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (Either [4] or (If (Not [1].), then (Not (Either [2] or [3].).).).). [SC1-4]
Not [5].
Therefore, Either [4] or (If (Not [1].), then (Not (Either [2] or [3].).).)..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (Either [5] or (Either [4] or (If (Not [1].), then (Not (Either [2] or [3].).).).).).
Not [6].
Therefore, Either [5] or (Either [4] or (If (Not [1].), then (Not (Either [2] or [3].).).).)..
|
{0: 'A fence is a barrier.', 1: 'Cubs are totally helpless at birth, with eyes closed until the end of their first week.', 2: 'Fresh pasta is a flour, egg and water combination that creates a soft dough.', 3: 'Perfect flowers have organs.', 4: 'Tree usually dies before spring.', 5: 'Most weld materials are alloys or mixtures of several constituents.', 6: 'Digression is journeys.'}
| 5 |
4,531 |
["The notion that 'catholic education promotes a Christian way of life' is untrue.", 'Either baby nematodes then go off to find another insect, and start the cycle again or some shells contain hermit crabs.', 'Provided that baby nematodes then go off to find another insect, and start the cycle again, we know that if elephants eat lunch, then either catholic education promotes a Christian way of life or inches are bigger than centimeters.', 'Once we know some shells contain hermit crabs, we also know that if elephants eat lunch, then either catholic education promotes a Christian way of life or inches are bigger than centimeters.', "The statement 'foxes have (part) heads' can be considered false.", 'On the condition that a delirium is an emotional disturbance, it is definitely the case that if it is not the case that elephants eat lunch, then foxes have (part) heads.', 'It is reasonable to believe that a delirium is an emotional disturbance.']
|
The notion that 'catholic education promotes a Christian way of life' is untrue. Either baby nematodes then go off to find another insect, and start the cycle again or some shells contain hermit crabs. Provided that baby nematodes then go off to find another insect, and start the cycle again, we know that if elephants eat lunch, then either catholic education promotes a Christian way of life or inches are bigger than centimeters. Once we know some shells contain hermit crabs, we also know that if elephants eat lunch, then either catholic education promotes a Christian way of life or inches are bigger than centimeters. The statement 'foxes have (part) heads' can be considered false. On the condition that a delirium is an emotional disturbance, it is definitely the case that if it is not the case that elephants eat lunch, then foxes have (part) heads. It is reasonable to believe that a delirium is an emotional disturbance.
|
Those that suggest inches are bigger than centimeters are right.
|
The notion that 'inches are bigger than centimeters' is untrue.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2] [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then (Either [1] or [0].).).
If [5], then (If [2], then (Either [1] or [0].).).
Therefore, If [2], then (Either [1] or [0].)..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3]. [SC1-3]
Not [3].
Therefore, [2].
[SC1-3]
Modus Ponens:
If [6], then (If (Not [2].), then [3].).
[6]
Therefore, If (Not [2].), then [3]..
|
{0: 'Inches are bigger than centimeters.', 1: 'Catholic education promotes a Christian way of life.', 2: 'Elephants eat lunch.', 3: 'Foxes have (part) heads.', 4: 'Baby nematodes then go off to find another insect, and start the cycle again.', 5: 'Some shells contain hermit crabs.', 6: 'A delirium is an emotional disturbance.'}
| 5 |
4,252 |
['Either one or both of these statements are true: plants provide energy, or if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then sweet foods are often low in vitamins and minerals, and high in fat.', 'One may reasonably assume that if reindeer are adapted to live in the arctic by conserving body heat, then if plants provide energy, then herniated discs are ruptures.', 'Once we know bacteria have one circular chromosome, we also know that if if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then sweet foods are often low in vitamins and minerals, and high in fat, then bats can quickly become a nuisance though depending on where they decide to take up residence.', 'It is rational to agree that bacteria have one circular chromosome.', 'We know that at least one of two things is true: remnant isa part, or either reindeer are adapted to live in the arctic by conserving body heat or if limbs are legs and arms of a mammal, often with strong bones , then flowers symbolize the cause as the blossoming of flowers results in the bearing of fruit.', 'The claim that remnant isa part does not reflect reality.', 'Assuming if hypnosis helps to teach one to use positive self-talk and positive expectations, then all owls have a facial disc, we know that if if limbs are legs and arms of a mammal, often with strong bones , then flowers symbolize the cause as the blossoming of flowers results in the bearing of fruit, then if plants provide energy, then herniated discs are ruptures.', 'Given that hypnosis helps to teach one to use positive self-talk and positive expectations, it can be inferred that all owls have a facial disc.']
|
Either one or both of these statements are true: plants provide energy, or if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then sweet foods are often low in vitamins and minerals, and high in fat. One may reasonably assume that if reindeer are adapted to live in the arctic by conserving body heat, then if plants provide energy, then herniated discs are ruptures. Once we know bacteria have one circular chromosome, we also know that if if catecholamines counterbalance the release of insulin that occurs when sugar is eaten, then sweet foods are often low in vitamins and minerals, and high in fat, then bats can quickly become a nuisance though depending on where they decide to take up residence. It is rational to agree that bacteria have one circular chromosome. We know that at least one of two things is true: remnant isa part, or either reindeer are adapted to live in the arctic by conserving body heat or if limbs are legs and arms of a mammal, often with strong bones , then flowers symbolize the cause as the blossoming of flowers results in the bearing of fruit. The claim that remnant isa part does not reflect reality. Assuming if hypnosis helps to teach one to use positive self-talk and positive expectations, then all owls have a facial disc, we know that if if limbs are legs and arms of a mammal, often with strong bones , then flowers symbolize the cause as the blossoming of flowers results in the bearing of fruit, then if plants provide energy, then herniated discs are ruptures. Given that hypnosis helps to teach one to use positive self-talk and positive expectations, it can be inferred that all owls have a facial disc.
|
It is rational to believe that either herniated discs are ruptures or bats can quickly become a nuisance though depending on where they decide to take up residence.
|
The statement that 'either herniated discs are ruptures or bats can quickly become a nuisance though depending on where they decide to take up residence' is incorrect.
|
FALSE
|
Constructive Dilemma:
Either [2] or (If [3], then [4].).
If [2], then [0]. [SC2-1]
If (If [3], then [4].), then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-2]
If [5], then (If [2], then [0].).
If (If [6], then [7].), then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either [5] or (If [6], then [7].).).
Not [9].
Therefore, Either [5] or (If [6], then [7].)..
[SC3-2]
Modus Ponens:
If (If [10], then [11].), then (If (If [6], then [7].), then (If [2], then [0].).).
If [10], then [11].
Therefore, If (If [6], then [7].), then (If [2], then [0].)..
[SC3-1]
Modus Ponens:
If [8], then (If (If [3], then [4].), then [1].).
[8]
Therefore, If (If [3], then [4].), then [1]..
|
{0: 'Herniated discs are ruptures.', 1: 'Bats can quickly become a nuisance though depending on where they decide to take up residence.', 2: 'Plants provide energy.', 3: 'Catecholamines counterbalance the release of insulin that occurs when sugar is eaten.', 4: 'Sweet foods are often low in vitamins and minerals, and high in fat.', 5: 'Reindeer are adapted to live in the arctic by conserving body heat.', 6: 'Limbs are legs and arms of a mammal, often with strong bones .', 7: 'Flowers symbolize the cause as the blossoming of flowers results in the bearing of fruit.', 8: 'Bacteria have one circular chromosome.', 9: 'Remnant isa part.', 10: 'Hypnosis helps to teach one to use positive self-talk and positive expectations.', 11: 'All owls have a facial disc.'}
| 5 |
4,576 |
['It is the case that faith is the stopgap to experience.', 'Either one or both of these statements are true: if sedation is a major dose-limiting adverse effect of opioid therapy for many patients, then ideology is the nightmare made material by certain social bearings, or if the statement that states if faith is the stopgap to experience, then warmer colors are higher spectral ratios is false, then either granular fertilizers are easier to apply evenly to lawns and require less time or female flounders live longer and reach a larger size than the males.', 'Provided that either granular fertilizers are easier to apply evenly to lawns and require less time or female flounders live longer and reach a larger size than the males, we know that systems are generally the devices, equipment and plant in which the computer is embedded.', 'The statement, systems are generally the devices, equipment and plant in which the computer is embedded, does not hold.', "Whenever it is true that if sedation is a major dose-limiting adverse effect of opioid therapy for many patients, then ideology is the nightmare made material by certain social bearings, 'integrity is polished by the presence of brain damage' is true.", 'The claim that integrity is polished by the presence of brain damage does not reflect reality.']
|
It is the case that faith is the stopgap to experience. Either one or both of these statements are true: if sedation is a major dose-limiting adverse effect of opioid therapy for many patients, then ideology is the nightmare made material by certain social bearings, or if the statement that states if faith is the stopgap to experience, then warmer colors are higher spectral ratios is false, then either granular fertilizers are easier to apply evenly to lawns and require less time or female flounders live longer and reach a larger size than the males. Provided that either granular fertilizers are easier to apply evenly to lawns and require less time or female flounders live longer and reach a larger size than the males, we know that systems are generally the devices, equipment and plant in which the computer is embedded. The statement, systems are generally the devices, equipment and plant in which the computer is embedded, does not hold. Whenever it is true that if sedation is a major dose-limiting adverse effect of opioid therapy for many patients, then ideology is the nightmare made material by certain social bearings, 'integrity is polished by the presence of brain damage' is true. The claim that integrity is polished by the presence of brain damage does not reflect reality.
|
Those that suggest warmer colors are higher spectral ratios are right.
|
The statement that states warmer colors are higher spectral ratios is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If (Not (If [1], then [0].).), then (Either [2] or [3].).).
Not (If [4], then [5].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Either [2] or [3].)..
[SC2-3]
Modus Tonens:
If (If [4], then [5].), then [7].
Not [7].
Therefore, Not (If [4], then [5].)..
[SC2-2]
Modus Tonens:
If (Either [2] or [3].), then [6].
Not [6].
Therefore, Not (Either [2] or [3].)..
|
{0: 'Warmer colors are higher spectral ratios.', 1: 'Faith is the stopgap to experience.', 2: 'Granular fertilizers are easier to apply evenly to lawns and require less time.', 3: 'Female flounders live longer and reach a larger size than the males.', 4: 'Sedation is a major dose-limiting adverse effect of opioid therapy for many patients.', 5: 'Ideology is the nightmare made material by certain social bearings.', 6: 'Systems are generally the devices, equipment and plant in which the computer is embedded.', 7: 'Integrity is polished by the presence of brain damage.'}
| 5 |
4,738 |
["Either stressors are agents or onions are among some of man's most ancient cultivated crops.", 'We know that either sulfur inhibits the effectiveness of catalytic converters or traditional religion is the stomp dance.', "Whenever it is true that sulfur inhibits the effectiveness of catalytic converters, 'if stressors are agents, then factors affect characteristics' is true.", 'Either one or both of these statements are true: formula feeding has terrible consequences for most children, or we know that the claim that factors affect characteristics is false.', 'The claim that formula feeding has terrible consequences for most children does not reflect reality.', 'When it is not true that if traditional religion is the stomp dance, then if stressors are agents, then factors affect characteristics is true, it follows that some bobcats are killed by hunters.', 'Once we know it is not true that if traditional religion is the stomp dance, then if stressors are agents, then factors affect characteristics, we also know that the statement that states some bobcats are killed by hunters is false.']
|
Either stressors are agents or onions are among some of man's most ancient cultivated crops. We know that either sulfur inhibits the effectiveness of catalytic converters or traditional religion is the stomp dance. Whenever it is true that sulfur inhibits the effectiveness of catalytic converters, 'if stressors are agents, then factors affect characteristics' is true. Either one or both of these statements are true: formula feeding has terrible consequences for most children, or we know that the claim that factors affect characteristics is false. The claim that formula feeding has terrible consequences for most children does not reflect reality. When it is not true that if traditional religion is the stomp dance, then if stressors are agents, then factors affect characteristics is true, it follows that some bobcats are killed by hunters. Once we know it is not true that if traditional religion is the stomp dance, then if stressors are agents, then factors affect characteristics, we also know that the statement that states some bobcats are killed by hunters is false.
|
It is fair to say that onions are among some of man's most ancient cultivated crops.
|
It is fair to say that onions are among some of man's most ancient cultivated crops.
|
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]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [2].).
If [5], then (If [1], then [2].). [SC3-3]
Therefore, If [1], then [2]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then (If [1], then [2].).).), then [6].
If (Not (If [5], then (If [1], then [2].).).), then (Not [6].).
Therefore, If [5], then (If [1], then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3].
Therefore, Not [2]..
|
{0: "Onions are among some of man's most ancient cultivated crops.", 1: 'Stressors are agents.', 2: 'Factors affect characteristics.', 3: 'Formula feeding has terrible consequences for most children.', 4: 'Sulfur inhibits the effectiveness of catalytic converters.', 5: 'Traditional religion is the stomp dance.', 6: 'Some bobcats are killed by hunters.'}
| 5 |
4,299 |
['Provided that antique furniture consists of furniture, we know that if monkey Beach is a place where Sasquatches are often sighted, then some ceramic fiber has glass transition temperature.', 'Provided that if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding, we know that if monkey Beach is a place where Sasquatches are often sighted, then some ceramic fiber has glass transition temperature.', 'Should it be the case that if tomatoes are an insignificant source of other vitamins, then ecumenism is one of the jewels of late twentieth century Christianity, it follows that either depression is a mood state or syndromal disorder associated with vegetative symptoms or lawyers play an essential role in the evolution and application of the law.', 'Once we know tomatoes are an insignificant source of other vitamins, we also know that ecumenism is one of the jewels of late twentieth century Christianity.', 'It is rational to believe that either abortion is legal in Pennsylvania and in every state for women of all ages or if depression is a mood state or syndromal disorder associated with vegetative symptoms, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding.', 'The claim that abortion is legal in Pennsylvania and in every state for women of all ages does not correspond with reality.', "It is rational to believe that either either water is capable of wet towels or corrosion is the unwanted breakdown and weakening of a material due to chemical reactions or either birds use strong muscles or kittens get antibodies to many diseases, in the mother's milk.", 'Once we know either water is capable of wet towels or corrosion is the unwanted breakdown and weakening of a material due to chemical reactions, we also know that if lawyers play an essential role in the evolution and application of the law, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding.', "When either birds use strong muscles or kittens get antibodies to many diseases, in the mother's milk is true, it follows that if lawyers play an essential role in the evolution and application of the law, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding."]
|
Provided that antique furniture consists of furniture, we know that if monkey Beach is a place where Sasquatches are often sighted, then some ceramic fiber has glass transition temperature. Provided that if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding, we know that if monkey Beach is a place where Sasquatches are often sighted, then some ceramic fiber has glass transition temperature. Should it be the case that if tomatoes are an insignificant source of other vitamins, then ecumenism is one of the jewels of late twentieth century Christianity, it follows that either depression is a mood state or syndromal disorder associated with vegetative symptoms or lawyers play an essential role in the evolution and application of the law. Once we know tomatoes are an insignificant source of other vitamins, we also know that ecumenism is one of the jewels of late twentieth century Christianity. It is rational to believe that either abortion is legal in Pennsylvania and in every state for women of all ages or if depression is a mood state or syndromal disorder associated with vegetative symptoms, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding. The claim that abortion is legal in Pennsylvania and in every state for women of all ages does not correspond with reality. It is rational to believe that either either water is capable of wet towels or corrosion is the unwanted breakdown and weakening of a material due to chemical reactions or either birds use strong muscles or kittens get antibodies to many diseases, in the mother's milk. Once we know either water is capable of wet towels or corrosion is the unwanted breakdown and weakening of a material due to chemical reactions, we also know that if lawyers play an essential role in the evolution and application of the law, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding. When either birds use strong muscles or kittens get antibodies to many diseases, in the mother's milk is true, it follows that if lawyers play an essential role in the evolution and application of the law, then either antique furniture consists of furniture or if crime is more than an instance of behavior, then women can give the virus to their children during pregnancy, at birth or by breastfeeding.
|
When monkey Beach is a place where Sasquatches are often sighted is true, it follows that some ceramic fiber has glass transition temperature.
|
When monkey Beach is a place where Sasquatches are often sighted is true, it follows that some ceramic fiber has glass transition temperature.
|
TRUE
|
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-1]
If [2], then (If [0], then [1].).
If (If [3], then [4].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (Either [2] or (If [3], then [4].).). [SC2-2]
If [6], then (Either [2] or (If [3], then [4].).). [SC3-2]
Therefore, Either [2] or (If [3], then [4].)..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (Either [5] or [6].).
If [7], then [8].
Therefore, Either [5] or [6]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If [5], then (Either [2] or (If [3], then [4].).).).
Not [9].
Therefore, If [5], then (Either [2] or (If [3], then [4].).)..
[SC3-2]
Disjunction Elimination:
Either (Either [10] or [11].) or (Either [12] or [13].).
If (Either [10] or [11].), then (If [6], then (Either [2] or (If [3], then [4].).).).
If (Either [12] or [13].), then (If [6], then (Either [2] or (If [3], then [4].).).).
Therefore, If [6], then (Either [2] or (If [3], then [4].).)..
|
{0: 'Monkey Beach is a place where Sasquatches are often sighted.', 1: 'Some ceramic fiber has glass transition temperature.', 2: 'Antique furniture consists of furniture.', 3: 'Crime is more than an instance of behavior.', 4: 'Women can give the virus to their children during pregnancy, at birth or by breastfeeding.', 5: 'Depression is a mood state or syndromal disorder associated with vegetative symptoms.', 6: 'Lawyers play an essential role in the evolution and application of the law.', 7: 'Tomatoes are an insignificant source of other vitamins.', 8: 'Ecumenism is one of the jewels of late twentieth century Christianity.', 9: 'Abortion is legal in Pennsylvania and in every state for women of all ages.', 10: 'Water is capable of wet towels.', 11: 'Corrosion is the unwanted breakdown and weakening of a material due to chemical reactions.', 12: 'Birds use strong muscles.', 13: "Kittens get antibodies to many diseases, in the mother's milk."}
| 5 |
4,740 |
['Provided that the claim that if the statement that states coyotes kill deer is false, then regional hypothermia protects against tourniquet neuropathy does not reflect reality, we know that cucumbers do especially well in containers.', 'The statement that states cucumbers do especially well in containers is false.', 'Provided that gorillas has-part incisors, we know that the statement, regional hypothermia protects against tourniquet neuropathy, does not hold.', 'The claim that labor laws give workers the freedom to choose where they want to work without undue pressure does not reflect reality.', 'We know that either transmitters have (part) heads or scripture is full of admonitions to live life with purpose.', 'Once we know transmitters have (part) heads, we also know that if it is a common misconception that if the statement that states coyotes kill deer is false, then gorillas has-part incisors, then labor laws give workers the freedom to choose where they want to work without undue pressure.', 'If scripture is full of admonitions to live life with purpose, then if it is a common misconception that if the statement that states coyotes kill deer is false, then gorillas has-part incisors, then labor laws give workers the freedom to choose where they want to work without undue pressure.']
|
Provided that the claim that if the statement that states coyotes kill deer is false, then regional hypothermia protects against tourniquet neuropathy does not reflect reality, we know that cucumbers do especially well in containers. The statement that states cucumbers do especially well in containers is false. Provided that gorillas has-part incisors, we know that the statement, regional hypothermia protects against tourniquet neuropathy, does not hold. The claim that labor laws give workers the freedom to choose where they want to work without undue pressure does not reflect reality. We know that either transmitters have (part) heads or scripture is full of admonitions to live life with purpose. Once we know transmitters have (part) heads, we also know that if it is a common misconception that if the statement that states coyotes kill deer is false, then gorillas has-part incisors, then labor laws give workers the freedom to choose where they want to work without undue pressure. If scripture is full of admonitions to live life with purpose, then if it is a common misconception that if the statement that states coyotes kill deer is false, then gorillas has-part incisors, then labor laws give workers the freedom to choose where they want to work without undue pressure.
|
The claim that coyotes kill deer is true.
|
The claim that coyotes kill deer is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (Not [1].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [3].).), then [4]. [SC1-3]
Not [4].
Therefore, If (Not [0].), then [3]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If (Not [0].), then [3].).), then [4].).
If [6], then (If (Not (If (Not [0].), then [3].).), then [4].).
Therefore, If (Not (If (Not [0].), then [3].).), then [4]..
|
{0: 'Coyotes kill deer.', 1: 'Regional hypothermia protects against tourniquet neuropathy.', 2: 'Cucumbers do especially well in containers.', 3: 'Gorillas has-part incisors.', 4: 'Labor laws give workers the freedom to choose where they want to work without undue pressure.', 5: 'Transmitters have (part) heads.', 6: 'Scripture is full of admonitions to live life with purpose.'}
| 5 |
4,247 |
['One may reasonably assume that if bears have population size, then many plants produce noxious compounds that inhibit feeding by herbivorous insects.', "Whenever it is true that it is not the case that if many plants produce noxious compounds that inhibit feeding by herbivorous insects, then mangrove swamps are found in tropical and subtropical tidal areas, 'the notion that 'flammable liquids are the main hazard most commonly found in the laboratory' is untrue' is true.", 'It is rational to believe that either elephants are among the few species known to use tools or if either most palms have skin or magnetic fields have no beginning or end, then if it is not the case that if many plants produce noxious compounds that inhibit feeding by herbivorous insects, then mangrove swamps are found in tropical and subtropical tidal areas, then flammable liquids are the main hazard most commonly found in the laboratory.', 'The claim that elephants are among the few species known to use tools has no merit.', 'At least one of two things is true: lupine is a cool-season crop, and is relatively tolerant of spring frosts, or either most palms have skin or magnetic fields have no beginning or end.', 'The claim that lupine is a cool-season crop, and is relatively tolerant of spring frosts does not correspond with reality.']
|
One may reasonably assume that if bears have population size, then many plants produce noxious compounds that inhibit feeding by herbivorous insects. Whenever it is true that it is not the case that if many plants produce noxious compounds that inhibit feeding by herbivorous insects, then mangrove swamps are found in tropical and subtropical tidal areas, 'the notion that 'flammable liquids are the main hazard most commonly found in the laboratory' is untrue' is true. It is rational to believe that either elephants are among the few species known to use tools or if either most palms have skin or magnetic fields have no beginning or end, then if it is not the case that if many plants produce noxious compounds that inhibit feeding by herbivorous insects, then mangrove swamps are found in tropical and subtropical tidal areas, then flammable liquids are the main hazard most commonly found in the laboratory. The claim that elephants are among the few species known to use tools has no merit. At least one of two things is true: lupine is a cool-season crop, and is relatively tolerant of spring frosts, or either most palms have skin or magnetic fields have no beginning or end. The claim that lupine is a cool-season crop, and is relatively tolerant of spring frosts does not correspond with reality.
|
If bears have population size, then mangrove swamps are found in tropical and subtropical tidal areas.
|
It is not the case that if bears have population size, then mangrove swamps are found in tropical and subtropical tidal areas.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3]. [SC1-2]
If (Not (If [2], then [1].).), then (Not [3].).
Therefore, If [2], then [1]..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (If (Not (If [2], then [1].).), then [3].). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, If (Not (If [2], then [1].).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Either [4] or [5].), then (If (Not (If [2], then [1].).), then [3].).).
Not [7].
Therefore, If (Either [4] or [5].), then (If (Not (If [2], then [1].).), then [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].).
Not [6].
Therefore, Either [4] or [5]..
|
{0: 'Bears have population size.', 1: 'Mangrove swamps are found in tropical and subtropical tidal areas.', 2: 'Many plants produce noxious compounds that inhibit feeding by herbivorous insects.', 3: 'Flammable liquids are the main hazard most commonly found in the laboratory.', 4: 'Most palms have skin.', 5: 'Magnetic fields have no beginning or end.', 6: 'Lupine is a cool-season crop, and is relatively tolerant of spring frosts.', 7: 'Elephants are among the few species known to use tools.'}
| 5 |
4,926 |
["The statement 'most spiders have vision' can be considered true.", 'On the condition that electrical resistivity is also inverse of electrical conductivity, it is definitely the case that some people convert their cash into airline tickets, especially when they go out of the country.', "When if retards tend to run around naked in the snow, then ice made from contaminated water can also contain cryptosporidium is true, it follows that if most spiders have vision, then if the statement that 'anemones have algas' is incorrect, then electrical resistivity is also inverse of electrical conductivity.", 'One may reasonably assume that if retards tend to run around naked in the snow, then ice made from contaminated water can also contain cryptosporidium.', 'It is a fact that either many babies have days of frequent crying or the claim that some people convert their cash into airline tickets, especially when they go out of the country is false.', 'It is not the case that many babies have days of frequent crying.']
|
The statement 'most spiders have vision' can be considered true. On the condition that electrical resistivity is also inverse of electrical conductivity, it is definitely the case that some people convert their cash into airline tickets, especially when they go out of the country. When if retards tend to run around naked in the snow, then ice made from contaminated water can also contain cryptosporidium is true, it follows that if most spiders have vision, then if the statement that 'anemones have algas' is incorrect, then electrical resistivity is also inverse of electrical conductivity. One may reasonably assume that if retards tend to run around naked in the snow, then ice made from contaminated water can also contain cryptosporidium. It is a fact that either many babies have days of frequent crying or the claim that some people convert their cash into airline tickets, especially when they go out of the country is false. It is not the case that many babies have days of frequent crying.
|
It is true that anemones have algas.
|
The statement, anemones have algas, does not hold.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If [2], then (If (Not [0].), then [1].).).
If [4], then [5].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-1]
Modus Tonens:
If [1], then [3].
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [3].).
Not [6].
Therefore, Not [3]..
|
{0: 'Anemones have algas.', 1: 'Electrical resistivity is also inverse of electrical conductivity.', 2: 'Most spiders have vision.', 3: 'Some people convert their cash into airline tickets, especially when they go out of the country.', 4: 'Retards tend to run around naked in the snow.', 5: 'Ice made from contaminated water can also contain cryptosporidium.', 6: 'Many babies have days of frequent crying.'}
| 5 |
4,412 |
['There is good reason to believe that either a ski jumper is a jumper or if potassium is non-existent or rare in processed foods, then exoskeletons are hard segments that cover the muscles and visceral organs.', 'One may reasonably assume that if a ski jumper is a jumper, then humans focus on tasks.', "Provided that the statement 'if if potassium is non-existent or rare in processed foods, then exoskeletons are hard segments that cover the muscles and visceral organs, then if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer' can be considered false, we know that clean factories are possible in poor countries, and polluting plants in rich countries.", "The statement that 'clean factories are possible in poor countries, and polluting plants in rich countries' is incorrect.", "One may reasonably assume that if the statement that 'if if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer, then humans focus on tasks' is incorrect, then the claim that mollusks are soft-bodied, and most have a prominent shell has no merit.", "Given that females are three times more likely to be sexually abused during childhood than males, it can be inferred that if the statement that 'if if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer, then humans focus on tasks' is incorrect, then mollusks are soft-bodied, and most have a prominent shell.", 'It is true that females are three times more likely to be sexually abused during childhood than males.']
|
There is good reason to believe that either a ski jumper is a jumper or if potassium is non-existent or rare in processed foods, then exoskeletons are hard segments that cover the muscles and visceral organs. One may reasonably assume that if a ski jumper is a jumper, then humans focus on tasks. Provided that the statement 'if if potassium is non-existent or rare in processed foods, then exoskeletons are hard segments that cover the muscles and visceral organs, then if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer' can be considered false, we know that clean factories are possible in poor countries, and polluting plants in rich countries. The statement that 'clean factories are possible in poor countries, and polluting plants in rich countries' is incorrect. One may reasonably assume that if the statement that 'if if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer, then humans focus on tasks' is incorrect, then the claim that mollusks are soft-bodied, and most have a prominent shell has no merit. Given that females are three times more likely to be sexually abused during childhood than males, it can be inferred that if the statement that 'if if salt can persist at the surface in cold and arid climates, then biological therapy uses the body's immune system to fight cancer, then humans focus on tasks' is incorrect, then mollusks are soft-bodied, and most have a prominent shell. It is true that females are three times more likely to be sexually abused during childhood than males.
|
It is reasonable to believe that humans focus on tasks.
|
Humans often tell lies, but deities never lie.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0].
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Hypothetical Syllogism:
If (If [2], then [3].), then (If [4], then [5].). [SC1-2]
If (If [4], then [5].), then [0]. [SC2-2]
Therefore, If (If [2], then [3].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (If [2], then [3].), then (If [4], then [5].).).), then [7].
Not [7].
Therefore, If (If [2], then [3].), then (If [4], then [5].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [4], then [5].), then [0].).), then [6]. [SC1-3]
If (Not (If (If [4], then [5].), then [0].).), then (Not [6].).
Therefore, If (If [4], then [5].), then [0]..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (If (If [4], then [5].), then [0].).), then [6].).
[8]
Therefore, If (Not (If (If [4], then [5].), then [0].).), then [6]..
|
{0: 'Humans focus on tasks.', 1: 'A ski jumper is a jumper.', 2: 'Potassium is non-existent or rare in processed foods.', 3: 'Exoskeletons are hard segments that cover the muscles and visceral organs.', 4: 'Salt can persist at the surface in cold and arid climates.', 5: "Biological therapy uses the body's immune system to fight cancer.", 6: 'Mollusks are soft-bodied, and most have a prominent shell.', 7: 'Clean factories are possible in poor countries, and polluting plants in rich countries.', 8: 'Females are three times more likely to be sexually abused during childhood than males.'}
| 5 |
4,389 |
["We know that either astronomy dances to the music of the stars or mothers spending their time begging for food don' t pay attention to their young.", 'It is rational to believe that either mushrooms have chlorophyll or if astronomy dances to the music of the stars, then poons are wood.', 'When humans change environments is true, it follows that poons are wood.', 'When mushrooms have chlorophyll is true, it follows that plant pigments have different functions.', 'It is a common misconception that plant pigments have different functions.', "We know that either lateral lines serve an important role in schooling behavior, predation, and orientation or if mothers spending their time begging for food don' t pay attention to their young, then humans change environments.", 'We know that the claim that lateral lines serve an important role in schooling behavior, predation, and orientation is false.']
|
We know that either astronomy dances to the music of the stars or mothers spending their time begging for food don' t pay attention to their young. It is rational to believe that either mushrooms have chlorophyll or if astronomy dances to the music of the stars, then poons are wood. When humans change environments is true, it follows that poons are wood. When mushrooms have chlorophyll is true, it follows that plant pigments have different functions. It is a common misconception that plant pigments have different functions. We know that either lateral lines serve an important role in schooling behavior, predation, and orientation or if mothers spending their time begging for food don' t pay attention to their young, then humans change environments. We know that the claim that lateral lines serve an important role in schooling behavior, predation, and orientation is false.
|
The statement that states poons are wood is right.
|
Poons are trees.
|
Uncertain
|
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 [4] or (If [1], then [0].).
Not [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then [0].
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [2], then [3].).
Not [6].
Therefore, If [2], then [3]..
|
{0: 'Poons are wood.', 1: 'Astronomy dances to the music of the stars.', 2: "Mothers spending their time begging for food don' t pay attention to their young.", 3: 'Humans change environments.', 4: 'Mushrooms have chlorophyll.', 5: 'Plant pigments have different functions.', 6: 'Lateral lines serve an important role in schooling behavior, predation, and orientation.'}
| 5 |
4,796 |
["Provided that the notion that 'cardboard boxs are located in post offices' is untrue, we know that the statement that 'if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas ' is incorrect.", "On the condition that watermelons require a relatively long growing period and prefer hot, rather dry weather, it is definitely the case that if those that suggest if the notion that 'cardboard boxs are located in post offices' is untrue, then if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas are wrong, then old galls are a dark brown and usually have an exit hole.", "Should it be the case that wimps have (part) plasma membranes, it follows that if those that suggest if the notion that 'cardboard boxs are located in post offices' is untrue, then if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas are wrong, then old galls are a dark brown and usually have an exit hole.", "On the condition that adult toads are diurnal and feed heavily on insects and other small animals, it is definitely the case that the statement that 'old galls are a dark brown and usually have an exit hole' is incorrect.", 'It is the case that adult toads are diurnal and feed heavily on insects and other small animals.', 'Either one or both of these statements are true: sea turtles mistake plastic bags for jellyfish, a favorite food, and choke to death, or porridge is made of corn.', 'Provided that sea turtles mistake plastic bags for jellyfish, a favorite food, and choke to death, we know that watermelons require a relatively long growing period and prefer hot, rather dry weather.', 'Should it be the case that porridge is made of corn, it follows that wimps have (part) plasma membranes.']
|
Provided that the notion that 'cardboard boxs are located in post offices' is untrue, we know that the statement that 'if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas ' is incorrect. On the condition that watermelons require a relatively long growing period and prefer hot, rather dry weather, it is definitely the case that if those that suggest if the notion that 'cardboard boxs are located in post offices' is untrue, then if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas are wrong, then old galls are a dark brown and usually have an exit hole. Should it be the case that wimps have (part) plasma membranes, it follows that if those that suggest if the notion that 'cardboard boxs are located in post offices' is untrue, then if employees are colleagues, then most venomous bytes are the direct result of handling or harassing spiders and iguanas are wrong, then old galls are a dark brown and usually have an exit hole. On the condition that adult toads are diurnal and feed heavily on insects and other small animals, it is definitely the case that the statement that 'old galls are a dark brown and usually have an exit hole' is incorrect. It is the case that adult toads are diurnal and feed heavily on insects and other small animals. Either one or both of these statements are true: sea turtles mistake plastic bags for jellyfish, a favorite food, and choke to death, or porridge is made of corn. Provided that sea turtles mistake plastic bags for jellyfish, a favorite food, and choke to death, we know that watermelons require a relatively long growing period and prefer hot, rather dry weather. Should it be the case that porridge is made of corn, it follows that wimps have (part) plasma membranes.
|
It is rational to agree that cardboard boxs are located in post offices.
|
The statement that states cardboard boxs are located in post offices is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If (Not (If (Not [0].), then (If [1], then [2].).).), then [3].).
If [6], then (If (Not (If (Not [0].), then (If [1], then [2].).).), then [3].).
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then [3]..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5].
If [8], then [6].
Therefore, Either [5] or [6]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].).
[4]
Therefore, Not [3]..
|
{0: 'Cardboard boxs are located in post offices.', 1: 'Employees are colleagues.', 2: 'Most venomous bytes are the direct result of handling or harassing spiders and iguanas .', 3: 'Old galls are a dark brown and usually have an exit hole.', 4: 'Adult toads are diurnal and feed heavily on insects and other small animals.', 5: 'Watermelons require a relatively long growing period and prefer hot, rather dry weather.', 6: 'Wimps have (part) plasma membranes.', 7: 'Sea turtles mistake plastic bags for jellyfish, a favorite food, and choke to death.', 8: 'Porridge is made of corn.'}
| 5 |
4,601 |
['One may reasonably assume that if personality traits can predict job performance, then either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes.', 'It is not the case that rubber is water repellent and resistant to alkalies and weak acids.', 'Given that chemicals result in effects, it can be inferred that either rubber is water repellent and resistant to alkalies and weak acids or if personality traits can predict job performance, then it is a common misconception that either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes.', 'One may reasonably assume that if biochips have multiple potential uses in medicine, including drug development, then either rubber is water repellent and resistant to alkalies and weak acids or if personality traits can predict job performance, then it is a common misconception that either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes.', 'Either antibiotics can cure most STDs completely or continuous grazing removes wildflowers, shrubs and small trees that produce fruit and nuts.', 'On the condition that antibiotics can cure most STDs completely, it is definitely the case that either chemicals result in effects or biochips have multiple potential uses in medicine, including drug development.', 'Given that it is not the case that if continuous grazing removes wildflowers, shrubs and small trees that produce fruit and nuts, then either chemicals result in effects or biochips have multiple potential uses in medicine, including drug development, it can be inferred that many accountants are also certified financial planners.', 'The statement, many accountants are also certified financial planners, does not hold.']
|
One may reasonably assume that if personality traits can predict job performance, then either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes. It is not the case that rubber is water repellent and resistant to alkalies and weak acids. Given that chemicals result in effects, it can be inferred that either rubber is water repellent and resistant to alkalies and weak acids or if personality traits can predict job performance, then it is a common misconception that either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes. One may reasonably assume that if biochips have multiple potential uses in medicine, including drug development, then either rubber is water repellent and resistant to alkalies and weak acids or if personality traits can predict job performance, then it is a common misconception that either water is the single most critical natural resource in Jordan or most mountain zebras have faint stripes. Either antibiotics can cure most STDs completely or continuous grazing removes wildflowers, shrubs and small trees that produce fruit and nuts. On the condition that antibiotics can cure most STDs completely, it is definitely the case that either chemicals result in effects or biochips have multiple potential uses in medicine, including drug development. Given that it is not the case that if continuous grazing removes wildflowers, shrubs and small trees that produce fruit and nuts, then either chemicals result in effects or biochips have multiple potential uses in medicine, including drug development, it can be inferred that many accountants are also certified financial planners. The statement, many accountants are also certified financial planners, does not hold.
|
It is a common misconception that personality traits can predict job performance.
|
It is rational to agree that personality traits can predict job performance.
|
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]
Disjunctive Syllogism:
Either [3] or (If [0], then (Not (Either [1] or [2].).).). [SC1-2]
Not [3].
Therefore, If [0], then (Not (Either [1] or [2].).)..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Either [3] or (If [0], then (Not (Either [1] or [2].).).).).
If [5], then (Either [3] or (If [0], then (Not (Either [1] or [2].).).).).
Therefore, Either [3] or (If [0], then (Not (Either [1] or [2].).).)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].).
If [7], then (Either [4] or [5].). [SC3-4]
Therefore, Either [4] or [5]..
[SC3-4]
Modus Tonens:
If (Not (If [7], then (Either [4] or [5].).).), then [8].
Not [8].
Therefore, If [7], then (Either [4] or [5].)..
|
{0: 'Personality traits can predict job performance.', 1: 'Water is the single most critical natural resource in Jordan.', 2: 'Most mountain zebras have faint stripes.', 3: 'Rubber is water repellent and resistant to alkalies and weak acids.', 4: 'Chemicals result in effects.', 5: 'Biochips have multiple potential uses in medicine, including drug development.', 6: 'Antibiotics can cure most STDs completely.', 7: 'Continuous grazing removes wildflowers, shrubs and small trees that produce fruit and nuts.', 8: 'Many accountants are also certified financial planners.'}
| 5 |
4,654 |
['It is rational to believe that either flowers range in color or if some people use language to express thought, some to conceal thought, and others instead of thought, then some diets depend on goals.', 'On the condition that flowers range in color, it is definitely the case that infertility is an illness.', 'On the condition that infertility is an illness, it is definitely the case that mammalian colors are determined chiefly by two types, eumelanins and phaeomelanins.', 'Should it be the case that infertility is an illness, it follows that it is not the case that mammalian colors are determined chiefly by two types, eumelanins and phaeomelanins.', 'We know that at least one of two things is true: encryption is a secure means of transferring sensitive files, or nail polish is enamel.', 'It is a fact that either any gene consisting only of viruses dies or if either encryption is a secure means of transferring sensitive files or nail polish is enamel, then if if some people use language to express thought, some to conceal thought, and others instead of thought, then some diets depend on goals, then male foxes are known as dogs, tods or reynards, and females are called vixens.', 'The claim that any gene consisting only of viruses dies has no merit.']
|
It is rational to believe that either flowers range in color or if some people use language to express thought, some to conceal thought, and others instead of thought, then some diets depend on goals. On the condition that flowers range in color, it is definitely the case that infertility is an illness. On the condition that infertility is an illness, it is definitely the case that mammalian colors are determined chiefly by two types, eumelanins and phaeomelanins. Should it be the case that infertility is an illness, it follows that it is not the case that mammalian colors are determined chiefly by two types, eumelanins and phaeomelanins. We know that at least one of two things is true: encryption is a secure means of transferring sensitive files, or nail polish is enamel. It is a fact that either any gene consisting only of viruses dies or if either encryption is a secure means of transferring sensitive files or nail polish is enamel, then if if some people use language to express thought, some to conceal thought, and others instead of thought, then some diets depend on goals, then male foxes are known as dogs, tods or reynards, and females are called vixens. The claim that any gene consisting only of viruses dies has no merit.
|
The statement that states male foxes are known as dogs, tods or reynards, and females are called vixens is right.
|
The statement that states male foxes are known as dogs, tods or reynards, and females are called vixens is right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [3] or (If [4], then [5].).
If [3], then [1].
If (If [4], then [5].), then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Modus Ponens:
If (Either [6] or [7].), then (If (If [4], then [5].), then [0].). [SC1-3]
Either [6] or [7].
Therefore, If (If [4], then [5].), then [0]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Either [6] or [7].), then (If (If [4], then [5].), then [0].).).
Not [8].
Therefore, If (Either [6] or [7].), then (If (If [4], then [5].), then [0].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].).
Therefore, Not [1]..
|
{0: 'Male foxes are known as dogs, tods or reynards, and females are called vixens.', 1: 'Infertility is an illness.', 2: 'Mammalian colors are determined chiefly by two types, eumelanins and phaeomelanins.', 3: 'Flowers range in color.', 4: 'Some people use language to express thought, some to conceal thought, and others instead of thought.', 5: 'Some diets depend on goals.', 6: 'Encryption is a secure means of transferring sensitive files.', 7: 'Nail polish is enamel.', 8: 'Any gene consisting only of viruses dies.'}
| 5 |
4,261 |
["So long as volcanism also occurs in continental areas that are undergoing episodes of rifting, 'chromosome number varies considerably within the species' is true.", 'Provided that the statement that states either macro viruses are by far the most common viruses out there or volcanism also occurs in continental areas that are undergoing episodes of rifting is false, we know that picas are birds.', 'Provided that the statement that states either macro viruses are by far the most common viruses out there or volcanism also occurs in continental areas that are undergoing episodes of rifting is false, we know that the claim that picas are birds does not correspond with reality.', 'When the claim that if macro viruses are by far the most common viruses out there, then chromosome number varies considerably within the species does not reflect reality is true, it follows that it is not the case that either all children wake during the night or colons have (part) lobes.', 'One may reasonably assume that if the claim that if macro viruses are by far the most common viruses out there, then chromosome number varies considerably within the species does not reflect reality, then if most poor diets affect development, then a blue jay is a jay.', "So long as the claim that if if most poor diets affect development, then a blue jay is a jay, then either all children wake during the night or colons have (part) lobes does not correspond with reality, 'all people are sinners by birth' is true.", 'Some people mistakenly believe that all people are sinners by birth.']
|
So long as volcanism also occurs in continental areas that are undergoing episodes of rifting, 'chromosome number varies considerably within the species' is true. Provided that the statement that states either macro viruses are by far the most common viruses out there or volcanism also occurs in continental areas that are undergoing episodes of rifting is false, we know that picas are birds. Provided that the statement that states either macro viruses are by far the most common viruses out there or volcanism also occurs in continental areas that are undergoing episodes of rifting is false, we know that the claim that picas are birds does not correspond with reality. When the claim that if macro viruses are by far the most common viruses out there, then chromosome number varies considerably within the species does not reflect reality is true, it follows that it is not the case that either all children wake during the night or colons have (part) lobes. One may reasonably assume that if the claim that if macro viruses are by far the most common viruses out there, then chromosome number varies considerably within the species does not reflect reality, then if most poor diets affect development, then a blue jay is a jay. So long as the claim that if if most poor diets affect development, then a blue jay is a jay, then either all children wake during the night or colons have (part) lobes does not correspond with reality, 'all people are sinners by birth' is true. Some people mistakenly believe that all people are sinners by birth.
|
Many people rightly believe that chromosome number varies considerably within the species.
|
Many people rightly believe that chromosome number varies considerably within the species.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3].
If (Not (Either [1] or [2].).), then (Not [3].).
Therefore, Either [1] or [2]..
[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]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then (If [6], then [7].).
If (If [6], then [7].), then (Either [4] or [5].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Either [4] or [5].)..
[SC2-3]
Modus Tonens:
If (Not (If (If [6], then [7].), then (Either [4] or [5].).).), then [8].
Not [8].
Therefore, If (If [6], then [7].), then (Either [4] or [5].)..
|
{0: 'Chromosome number varies considerably within the species.', 1: 'Macro viruses are by far the most common viruses out there.', 2: 'Volcanism also occurs in continental areas that are undergoing episodes of rifting.', 3: 'Picas are birds.', 4: 'All children wake during the night.', 5: 'Colons have (part) lobes.', 6: 'Most poor diets affect development.', 7: 'A blue jay is a jay.', 8: 'All people are sinners by birth.'}
| 5 |
4,456 |
['If if swans have (part) lips, then births are the main component of population growth, then mayflies are attracted to light.', "One may reasonably assume that if if water is a precious commodity that is wasted by the meat industry, then a work study is an examination, then it is a common misconception that either grooming involves animals resting together while picking bits of skin from each other's fur or transfusion medicine is a rapidly growing field with many applications.", 'We know that at least one of two things is true: most thyroid hormones are secreted by thyroid glands, or the claim that mayflies are attracted to light is false.', 'It is not the case that most thyroid hormones are secreted by thyroid glands.', 'We know that at least one of two things is true: authors have conflict, or insecurity is an archetypal human condition and sometimes it can be crippling.', 'On the condition that authors have conflict, it is definitely the case that if swans have (part) lips, then births are the main component of population growth.', 'Assuming radioactive materials are unusual, we know that if insecurity is an archetypal human condition and sometimes it can be crippling, then if water is a precious commodity that is wasted by the meat industry, then a work study is an examination.', 'It is true that radioactive materials are unusual.']
|
If if swans have (part) lips, then births are the main component of population growth, then mayflies are attracted to light. One may reasonably assume that if if water is a precious commodity that is wasted by the meat industry, then a work study is an examination, then it is a common misconception that either grooming involves animals resting together while picking bits of skin from each other's fur or transfusion medicine is a rapidly growing field with many applications. We know that at least one of two things is true: most thyroid hormones are secreted by thyroid glands, or the claim that mayflies are attracted to light is false. It is not the case that most thyroid hormones are secreted by thyroid glands. We know that at least one of two things is true: authors have conflict, or insecurity is an archetypal human condition and sometimes it can be crippling. On the condition that authors have conflict, it is definitely the case that if swans have (part) lips, then births are the main component of population growth. Assuming radioactive materials are unusual, we know that if insecurity is an archetypal human condition and sometimes it can be crippling, then if water is a precious commodity that is wasted by the meat industry, then a work study is an examination. It is true that radioactive materials are unusual.
|
It is a common misconception that either grooming involves animals resting together while picking bits of skin from each other's fur or transfusion medicine is a rapidly growing field with many applications.
|
We know that either grooming involves animals resting together while picking bits of skin from each other's fur or transfusion medicine is a rapidly growing field with many applications.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (Either [0] or [1].).). [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Constructive Dilemma:
Either (If [3], then [4].) or (If [5], then [6].). [SC1-2]
If (If [3], then [4].), then [2].
If (If [5], then [6].), then (Not (Either [0] or [1].).).
Therefore, Either [2] or (Not (Either [0] or [1].).)..
[SC1-2]
Constructive Dilemma:
Either [8] or [9].
If [8], then (If [3], then [4].).
If [9], then (If [5], then [6].). [SC3-3]
Therefore, Either (If [3], then [4].) or (If [5], then [6].)..
[SC3-3]
Modus Ponens:
If [10], then (If [9], then (If [5], then [6].).).
[10]
Therefore, If [9], then (If [5], then [6].)..
[SC2-1]
Disjunctive Syllogism:
Either [7] or (Not [2].).
Not [7].
Therefore, Not [2]..
|
{0: "Grooming involves animals resting together while picking bits of skin from each other's fur.", 1: 'Transfusion medicine is a rapidly growing field with many applications.', 2: 'Mayflies are attracted to light.', 3: 'Swans have (part) lips.', 4: 'Births are the main component of population growth.', 5: 'Water is a precious commodity that is wasted by the meat industry.', 6: 'A work study is an examination.', 7: 'Most thyroid hormones are secreted by thyroid glands.', 8: 'Authors have conflict.', 9: 'Insecurity is an archetypal human condition and sometimes it can be crippling.', 10: 'Radioactive materials are unusual.'}
| 5 |
4,386 |
["The statement that 'roots refers to strategies designed to ensure that every child meets world class standards' is incorrect.", "There is good reason to believe that either phosphates also affect the flavor and texture as perceived by the taste testers or if the statement 'if red algas grow in water, then roots refers to strategies designed to ensure that every child meets world class standards' can be considered false, then if avoidance is the only real way of tackling food odors, then some individuals eat their own feces.", 'Either one or both of these statements are true: most nutrition promotes health, or it is a common misconception that if avoidance is the only real way of tackling food odors, then some individuals eat their own feces.', 'We know that the claim that most nutrition promotes health is false.', "Assuming if vertical movement can occur due to rising tides, then fears of abandonment are also present in the narratives of military wives, we know that the statement 'phosphates also affect the flavor and texture as perceived by the taste testers' can be considered false.", 'Given that vertical movement can occur due to rising tides, it can be inferred that fears of abandonment are also present in the narratives of military wives.']
|
The statement that 'roots refers to strategies designed to ensure that every child meets world class standards' is incorrect. There is good reason to believe that either phosphates also affect the flavor and texture as perceived by the taste testers or if the statement 'if red algas grow in water, then roots refers to strategies designed to ensure that every child meets world class standards' can be considered false, then if avoidance is the only real way of tackling food odors, then some individuals eat their own feces. Either one or both of these statements are true: most nutrition promotes health, or it is a common misconception that if avoidance is the only real way of tackling food odors, then some individuals eat their own feces. We know that the claim that most nutrition promotes health is false. Assuming if vertical movement can occur due to rising tides, then fears of abandonment are also present in the narratives of military wives, we know that the statement 'phosphates also affect the flavor and texture as perceived by the taste testers' can be considered false. Given that vertical movement can occur due to rising tides, it can be inferred that fears of abandonment are also present in the narratives of military wives.
|
Those that suggest red algas grow in water are wrong.
|
Those that suggest red algas grow in water are wrong.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (If [0], then [1].).), then (If [2], then [3].).).
Not [5]. [SC2-3]
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC2-3]
Modus Ponens:
If (If [6], then [7].), then (Not [5].).
If [6], then [7].
Therefore, Not [5]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not (If [2], then [3].).).
Not [4].
Therefore, Not (If [2], then [3].)..
|
{0: 'Red algas grow in water.', 1: 'Roots refers to strategies designed to ensure that every child meets world class standards.', 2: 'Avoidance is the only real way of tackling food odors.', 3: 'Some individuals eat their own feces.', 4: 'Most nutrition promotes health.', 5: 'Phosphates also affect the flavor and texture as perceived by the taste testers.', 6: 'Vertical movement can occur due to rising tides.', 7: 'Fears of abandonment are also present in the narratives of military wives.'}
| 5 |
4,982 |
['When the statement that states if switchs are electronic devices, then moisture is the enemy of melting chocolate - it can cause the mixture to stiffen is false is true, it follows that operant behavior is the opposite of respondent behavior.', "So long as the statement that states if switchs are electronic devices, then moisture is the enemy of melting chocolate - it can cause the mixture to stiffen is false, 'we know that the claim that operant behavior is the opposite of respondent behavior is false' is true.", "So long as moisture is the enemy of melting chocolate - it can cause the mixture to stiffen, 'some rhinos have predators' is true.", "Whenever it is true that some rhinos have predators, 'some people mistakenly believe that some bud breaks occur in early springs' is true.", 'There is good reason to believe that either norms are the shared rules or guidelines that govern our actions in society or memory is distributed throughout the brain.', 'Once we know norms are the shared rules or guidelines that govern our actions in society, we also know that if some rhinos have predators, then some bud breaks occur in early springs.', "So long as memory is distributed throughout the brain, 'if some rhinos have predators, then some bud breaks occur in early springs' is true."]
|
When the statement that states if switchs are electronic devices, then moisture is the enemy of melting chocolate - it can cause the mixture to stiffen is false is true, it follows that operant behavior is the opposite of respondent behavior. So long as the statement that states if switchs are electronic devices, then moisture is the enemy of melting chocolate - it can cause the mixture to stiffen is false, 'we know that the claim that operant behavior is the opposite of respondent behavior is false' is true. So long as moisture is the enemy of melting chocolate - it can cause the mixture to stiffen, 'some rhinos have predators' is true. Whenever it is true that some rhinos have predators, 'some people mistakenly believe that some bud breaks occur in early springs' is true. There is good reason to believe that either norms are the shared rules or guidelines that govern our actions in society or memory is distributed throughout the brain. Once we know norms are the shared rules or guidelines that govern our actions in society, we also know that if some rhinos have predators, then some bud breaks occur in early springs. So long as memory is distributed throughout the brain, 'if some rhinos have predators, then some bud breaks occur in early springs' is true.
|
The statement that states switchs are electronic devices is false.
|
The claim that a switch is control does not correspond with reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [3].
If (Not (If [0], then [1].).), then (Not [3].).
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then [4].).
If [6], then (If [2], then [4].).
Therefore, If [2], then [4]..
|
{0: 'Switchs are electronic devices.', 1: 'Moisture is the enemy of melting chocolate - it can cause the mixture to stiffen.', 2: 'Some rhinos have predators.', 3: 'Operant behavior is the opposite of respondent behavior.', 4: 'Some bud breaks occur in early springs.', 5: 'Norms are the shared rules or guidelines that govern our actions in society.', 6: 'Memory is distributed throughout the brain.'}
| 5 |
4,909 |
['It is a fact that either if diversity is as fundamental to life as is order, then bacteria make useful models for studying electron transport or if if many traditional societies venerate the role of sage, then most turtles have habitats, then most earth has properties.', 'It is not true that if diversity is as fundamental to life as is order, then bacteria make useful models for studying electron transport.', 'One may reasonably assume that if if many traditional societies venerate the role of sage, then most turtles have habitats, then either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility.', "It is rational to believe that either mOTs are pollutant levels set a fixed percentage above the limit value or either media Promote a balanced and non-stereotyped portrayal of women in the media or occupation refers to respondent's occupation.", 'On the condition that mOTs are pollutant levels set a fixed percentage above the limit value, it is definitely the case that if either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility, then the claim that most earth has properties does not reflect reality.', "One may reasonably assume that if the claim that if either media Promote a balanced and non-stereotyped portrayal of women in the media or occupation refers to respondent's occupation, then if either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility, then the claim that most earth has properties does not reflect reality does not reflect reality, then either power tools create larger amounts of fine dust than hand tools or bats are a fascinating group of animals.", 'The claim that either power tools create larger amounts of fine dust than hand tools or bats are a fascinating group of animals does not reflect reality.']
|
It is a fact that either if diversity is as fundamental to life as is order, then bacteria make useful models for studying electron transport or if if many traditional societies venerate the role of sage, then most turtles have habitats, then most earth has properties. It is not true that if diversity is as fundamental to life as is order, then bacteria make useful models for studying electron transport. One may reasonably assume that if if many traditional societies venerate the role of sage, then most turtles have habitats, then either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility. It is rational to believe that either mOTs are pollutant levels set a fixed percentage above the limit value or either media Promote a balanced and non-stereotyped portrayal of women in the media or occupation refers to respondent's occupation. On the condition that mOTs are pollutant levels set a fixed percentage above the limit value, it is definitely the case that if either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility, then the claim that most earth has properties does not reflect reality. One may reasonably assume that if the claim that if either media Promote a balanced and non-stereotyped portrayal of women in the media or occupation refers to respondent's occupation, then if either muscle tone is normal except in the atrophic muscles of the involved hand or longer proteins can cause infertility, then the claim that most earth has properties does not reflect reality does not reflect reality, then either power tools create larger amounts of fine dust than hand tools or bats are a fascinating group of animals. The claim that either power tools create larger amounts of fine dust than hand tools or bats are a fascinating group of animals does not reflect reality.
|
The statement that 'if many traditional societies venerate the role of sage, then most turtles have habitats' is incorrect.
|
Once we know many traditional societies venerate the role of sage, we also know that most turtles have habitats.
|
FALSE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If (If [0], then [1].), then [2].).
Not (If [5], then [6].).
Therefore, If (If [0], then [1].), then [2]..
[SC2-1]
Hypothetical Syllogism:
If (If [0], then [1].), then (Either [3] or [4].).
If (Either [3] or [4].), then (Not [2].). [SC2-2]
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC2-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (If (Either [3] or [4].), then (Not [2].).).
If (Either [8] or [9].), then (If (Either [3] or [4].), then (Not [2].).). [SC3-3]
Therefore, If (Either [3] or [4].), then (Not [2].)..
[SC3-3]
Modus Tonens:
If (Not (If (Either [8] or [9].), then (If (Either [3] or [4].), then (Not [2].).).).), then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, If (Either [8] or [9].), then (If (Either [3] or [4].), then (Not [2].).)..
|
{0: 'Many traditional societies venerate the role of sage.', 1: 'Most turtles have habitats.', 2: 'Most earth has properties.', 3: 'Muscle tone is normal except in the atrophic muscles of the involved hand.', 4: 'Longer proteins can cause infertility.', 5: 'Diversity is as fundamental to life as is order.', 6: 'Bacteria make useful models for studying electron transport.', 7: 'MOTs are pollutant levels set a fixed percentage above the limit value.', 8: 'Media Promote a balanced and non-stereotyped portrayal of women in the media.', 9: "Occupation refers to respondent's occupation.", 10: 'Power tools create larger amounts of fine dust than hand tools.', 11: 'Bats are a fascinating group of animals.'}
| 5 |
4,693 |
['It is a fact that either some toenails have vessels or goblins are evil spirit.', 'If it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then yellow fever kills a traveler.', 'Assuming either lead based paint is an issue due to the possibility of children ingesting it or direct deposit is the method of payment, we know that if goblins are evil spirit, then recurved teeth are teeth that curve back towards the animal.', 'Either lead based paint is an issue due to the possibility of children ingesting it or direct deposit is the method of payment.', 'We know that either cleavage is perfect in one direction and distinct in another or ants have a sectioned body similar to a yellow jacket.', 'When ants have a sectioned body similar to a yellow jacket is true, it follows that if it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then the claim that yellow fever kills a traveler does not correspond with reality.', 'Should it be the case that the statement that states if cleavage is perfect in one direction and distinct in another, then if it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then the claim that yellow fever kills a traveler does not correspond with reality is false, it follows that ants have diets.', 'Those that suggest ants have diets are wrong.']
|
It is a fact that either some toenails have vessels or goblins are evil spirit. If it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then yellow fever kills a traveler. Assuming either lead based paint is an issue due to the possibility of children ingesting it or direct deposit is the method of payment, we know that if goblins are evil spirit, then recurved teeth are teeth that curve back towards the animal. Either lead based paint is an issue due to the possibility of children ingesting it or direct deposit is the method of payment. We know that either cleavage is perfect in one direction and distinct in another or ants have a sectioned body similar to a yellow jacket. When ants have a sectioned body similar to a yellow jacket is true, it follows that if it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then the claim that yellow fever kills a traveler does not correspond with reality. Should it be the case that the statement that states if cleavage is perfect in one direction and distinct in another, then if it is not true that if some toenails have vessels, then recurved teeth are teeth that curve back towards the animal, then the claim that yellow fever kills a traveler does not correspond with reality is false, it follows that ants have diets. Those that suggest ants have diets are wrong.
|
It is rational to agree that recurved teeth are teeth that curve back towards the animal.
|
It is rational to agree that recurved teeth are teeth that curve back towards the animal.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [5].
If (Not (If [1], then [0].).), then (Not [5].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then [0].).), then (Not [5].).). [SC2-3]
If [7], then (If (Not (If [1], then [0].).), then (Not [5].).).
Therefore, If (Not (If [1], then [0].).), then (Not [5].)..
[SC2-3]
Modus Tonens:
If (Not (If [6], then (If (Not (If [1], then [0].).), then (Not [5].).).).), then [8].
Not [8].
Therefore, If [6], then (If (Not (If [1], then [0].).), then (Not [5].).)..
[SC3-1]
Modus Ponens:
If (Either [3] or [4].), then (If [2], then [0].).
Either [3] or [4].
Therefore, If [2], then [0]..
|
{0: 'Recurved teeth are teeth that curve back towards the animal.', 1: 'Some toenails have vessels.', 2: 'Goblins are evil spirit.', 3: 'Lead based paint is an issue due to the possibility of children ingesting it.', 4: 'Direct deposit is the method of payment.', 5: 'Yellow fever kills a traveler.', 6: 'Cleavage is perfect in one direction and distinct in another.', 7: 'Ants have a sectioned body similar to a yellow jacket.', 8: 'Ants have diets.'}
| 5 |
4,236 |
['There is good reason to believe that either dollar bills are used for money or air reacts like a fluid to supersonic objects.', 'On the condition that dollar bills are used for money, it is definitely the case that capitation rewards people for withholding care.', 'The claim that genetic comparison shows fungi evolving now is false.', 'Should it be the case that capitation rewards people for withholding care, it follows that canaries generally show a mild disease with low mortality.', "On the condition that canaries generally show a mild disease with low mortality, it is definitely the case that the statement 'if some urine enters urethras, then intelligence is memory that organizes itself' can be considered false.", "There is good reason to believe that either if pickups have (part) voltage regulators, then acid rain can have harmful effects on plants, animals, and on humans or either genetic comparison shows fungi evolving now or if air reacts like a fluid to supersonic objects, then the statement 'if some urine enters urethras, then intelligence is memory that organizes itself' can be considered false.", 'The claim that if pickups have (part) voltage regulators, then acid rain can have harmful effects on plants, animals, and on humans is false.']
|
There is good reason to believe that either dollar bills are used for money or air reacts like a fluid to supersonic objects. On the condition that dollar bills are used for money, it is definitely the case that capitation rewards people for withholding care. The claim that genetic comparison shows fungi evolving now is false. Should it be the case that capitation rewards people for withholding care, it follows that canaries generally show a mild disease with low mortality. On the condition that canaries generally show a mild disease with low mortality, it is definitely the case that the statement 'if some urine enters urethras, then intelligence is memory that organizes itself' can be considered false. There is good reason to believe that either if pickups have (part) voltage regulators, then acid rain can have harmful effects on plants, animals, and on humans or either genetic comparison shows fungi evolving now or if air reacts like a fluid to supersonic objects, then the statement 'if some urine enters urethras, then intelligence is memory that organizes itself' can be considered false. The claim that if pickups have (part) voltage regulators, then acid rain can have harmful effects on plants, animals, and on humans is false.
|
The statement 'if some urine enters urethras, then intelligence is memory that organizes itself' can be considered false.
|
Once we know some urine enters urethras, we also know that intelligence is memory that organizes itself.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not (If [0], then [1].).). [SC2-1]
If [3], then (Not (If [0], then [1].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Hypothetical Syllogism:
If [2], then [5].
If [5], then (Not (If [0], then [1].).). [SC2-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-2]
Hypothetical Syllogism:
If [5], then [8].
If [8], then (Not (If [0], then [1].).).
Therefore, If [5], then (Not (If [0], then [1].).)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not (If [0], then [1].).).). [SC1-2]
Not [4].
Therefore, If [3], then (Not (If [0], then [1].).)..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Either [4] or (If [3], then (Not (If [0], then [1].).).).).
Not (If [6], then [7].).
Therefore, Either [4] or (If [3], then (Not (If [0], then [1].).).)..
|
{0: 'Some urine enters urethras.', 1: 'Intelligence is memory that organizes itself.', 2: 'Dollar bills are used for money.', 3: 'Air reacts like a fluid to supersonic objects.', 4: 'Genetic comparison shows fungi evolving now.', 5: 'Capitation rewards people for withholding care.', 6: 'Pickups have (part) voltage regulators.', 7: 'Acid rain can have harmful effects on plants, animals, and on humans.', 8: 'Canaries generally show a mild disease with low mortality.'}
| 5 |
4,501 |
["Whenever it is true that the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, 'the statement 'if oil extracts from poppy seeds, then life science are natural science' can be considered false' is true.", 'Those that suggest psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy are wrong.', 'We know that at least one of two things is true: either insect pests intensify under the barrage of poisons or emesis is the toxic effect, or depression is very common in women who are trying to become pregnant.', "So long as either insect pests intensify under the barrage of poisons or emesis is the toxic effect, 'if the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then heat causes feet to swell, and sweat, both of which contribute to blistering' is true.", 'Assuming depression is very common in women who are trying to become pregnant, we know that if the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then heat causes feet to swell, and sweat, both of which contribute to blistering.', 'If the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then a jester is a clown.', "Whenever it is true that a jester is a clown, 'it is a common misconception that heat causes feet to swell, and sweat, both of which contribute to blistering' is true."]
|
Whenever it is true that the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, 'the statement 'if oil extracts from poppy seeds, then life science are natural science' can be considered false' is true. Those that suggest psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy are wrong. We know that at least one of two things is true: either insect pests intensify under the barrage of poisons or emesis is the toxic effect, or depression is very common in women who are trying to become pregnant. So long as either insect pests intensify under the barrage of poisons or emesis is the toxic effect, 'if the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then heat causes feet to swell, and sweat, both of which contribute to blistering' is true. Assuming depression is very common in women who are trying to become pregnant, we know that if the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then heat causes feet to swell, and sweat, both of which contribute to blistering. If the claim that either psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy or if the claim that spores are resistant to UV-light, to drying and many harmful chemicals does not correspond with reality, then if oil extracts from poppy seeds, then life science are natural science does not reflect reality, then a jester is a clown. Whenever it is true that a jester is a clown, 'it is a common misconception that heat causes feet to swell, and sweat, both of which contribute to blistering' is true.
|
It is rational to agree that spores are resistant to UV-light, to drying and many harmful chemicals.
|
It is rational to agree that spores are resistant to UV-light, to drying and many harmful chemicals.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (If [1], then [2].).). [SC1-2]
Not [3].
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4]. [SC1-3]
If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then (Not [4].). [SC2-3]
Therefore, Either [3] or (If (Not [0].), then (If [1], then [2].).)..
[SC1-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4].).
If [7], then (If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4].).
Therefore, If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then [8].
If [8], then (Not [4].).
Therefore, If (Not (Either [3] or (If (Not [0].), then (If [1], then [2].).).).), then (Not [4].)..
|
{0: 'Spores are resistant to UV-light, to drying and many harmful chemicals.', 1: 'Oil extracts from poppy seeds.', 2: 'Life science are natural science.', 3: 'Psoriasis is an obstinate condition, where there is no sure cure, even with homoeopathy.', 4: 'Heat causes feet to swell, and sweat, both of which contribute to blistering.', 5: 'Insect pests intensify under the barrage of poisons.', 6: 'Emesis is the toxic effect.', 7: 'Depression is very common in women who are trying to become pregnant.', 8: 'A jester is a clown.'}
| 5 |
4,497 |
['One may reasonably assume that if the claim that if some mice threaten livestock, then social activities are social events is false, then some torque motors create resistance.', 'When the claim that if some mice threaten livestock, then social activities are social events is false is true, it follows that the claim that some torque motors create resistance does not reflect reality.', 'Some people mistakenly believe that elements have different atomic mass.', 'It is a fact that either characteristics distinguish mammals or either stripers are anadromous, meaning they live in the ocean but return to freshwater to spawn or secondary symptoms are complications that arise as a result of the primary symptoms.', "So long as either stripers are anadromous, meaning they live in the ocean but return to freshwater to spawn or secondary symptoms are complications that arise as a result of the primary symptoms, 'if some mice threaten livestock, then it is not the case that social activities are social events' is true.", "One may reasonably assume that if the statement 'if characteristics distinguish mammals, then elements have different atomic mass' can be considered false, then parrots sit in branches.", "Provided that the statement 'if characteristics distinguish mammals, then elements have different atomic mass' can be considered false, we know that it is a common misconception that parrots sit in branches."]
|
One may reasonably assume that if the claim that if some mice threaten livestock, then social activities are social events is false, then some torque motors create resistance. When the claim that if some mice threaten livestock, then social activities are social events is false is true, it follows that the claim that some torque motors create resistance does not reflect reality. Some people mistakenly believe that elements have different atomic mass. It is a fact that either characteristics distinguish mammals or either stripers are anadromous, meaning they live in the ocean but return to freshwater to spawn or secondary symptoms are complications that arise as a result of the primary symptoms. So long as either stripers are anadromous, meaning they live in the ocean but return to freshwater to spawn or secondary symptoms are complications that arise as a result of the primary symptoms, 'if some mice threaten livestock, then it is not the case that social activities are social events' is true. One may reasonably assume that if the statement 'if characteristics distinguish mammals, then elements have different atomic mass' can be considered false, then parrots sit in branches. Provided that the statement 'if characteristics distinguish mammals, then elements have different atomic mass' can be considered false, we know that it is a common misconception that parrots sit in branches.
|
The statement that states some mice threaten livestock is false.
|
We can assume that some mice threaten livestock.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [0], then (Not [1].).). [SC1-2]
Not [3].
Therefore, If [0], then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either [4] or (Either [5] or [6].).
If [4], then [3]. [SC2-3]
If (Either [5] or [6].), then (If [0], then (Not [1].).).
Therefore, Either [3] or (If [0], then (Not [1].).)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then [3].).), then [7].
If (Not (If [4], then [3].).), then (Not [7].).
Therefore, If [4], then [3]..
|
{0: 'Some mice threaten livestock.', 1: 'Social activities are social events.', 2: 'Some torque motors create resistance.', 3: 'Elements have different atomic mass.', 4: 'Characteristics distinguish mammals.', 5: 'Stripers are anadromous, meaning they live in the ocean but return to freshwater to spawn.', 6: 'Secondary symptoms are complications that arise as a result of the primary symptoms.', 7: 'Parrots sit in branches.'}
| 5 |
4,874 |
['Should it be the case that most people wash their undreaded hair every day, it follows that either lakes are mostly of glacial origin, small in area but often deep or the statement, blind kids learn to use computers that speak, does not hold.', 'The idea that most people wash their undreaded hair every day is true.', "So long as lakes are mostly of glacial origin, small in area but often deep, 'landing gear is undercarriages' is true.", 'Should it be the case that landing gear is undercarriages, it follows that it is not the case that bombs are made of shrapnels.', 'One may reasonably assume that if landing gear is undercarriages, then older people have a higher rate of blindness than any other age group.', 'Should it be the case that older people have a higher rate of blindness than any other age group, it follows that bombs are made of shrapnels.']
|
Should it be the case that most people wash their undreaded hair every day, it follows that either lakes are mostly of glacial origin, small in area but often deep or the statement, blind kids learn to use computers that speak, does not hold. The idea that most people wash their undreaded hair every day is true. So long as lakes are mostly of glacial origin, small in area but often deep, 'landing gear is undercarriages' is true. Should it be the case that landing gear is undercarriages, it follows that it is not the case that bombs are made of shrapnels. One may reasonably assume that if landing gear is undercarriages, then older people have a higher rate of blindness than any other age group. Should it be the case that older people have a higher rate of blindness than any other age group, it follows that bombs are made of shrapnels.
|
The statement, blind kids learn to use computers that speak, does not hold.
|
The statement that states blind kids learn to use computers that speak is right.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or (Not [0].).).
[3]
Therefore, Either [1] or (Not [0].)..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [4].
Therefore, If [2], then [4]..
|
{0: 'Blind kids learn to use computers that speak.', 1: 'Lakes are mostly of glacial origin, small in area but often deep.', 2: 'Landing gear is undercarriages.', 3: 'Most people wash their undreaded hair every day.', 4: 'Bombs are made of shrapnels.', 5: 'Older people have a higher rate of blindness than any other age group.'}
| 5 |
4,452 |
["Whenever it is true that the statement 'light symbolizes knowledge, and darkness, ignorance' can be considered false, 'either mice are by far the most common laboratory animal used for research or sectors are part of economy' is true.", "Should it be the case that some people mistakenly believe that if the statement 'light symbolizes knowledge, and darkness, ignorance' can be considered false, then the statement, either mice are by far the most common laboratory animal used for research or sectors are part of economy, does not hold, it follows that criminal punishment includes fines and imprisonment.", "Whenever it is true that criminal punishment includes fines and imprisonment, 'stools are semisolid to liquid and often carry blood' is true.", "Assuming punctuality varies between countries, we know that the statement that 'stools are semisolid to liquid and often carry blood' is incorrect.", 'Assuming those that suggest punctuality varies between countries are wrong, we know that heart disease is the leading cause of death in postmenopausal women.', "The statement that 'heart disease is the leading cause of death in postmenopausal women' is incorrect."]
|
Whenever it is true that the statement 'light symbolizes knowledge, and darkness, ignorance' can be considered false, 'either mice are by far the most common laboratory animal used for research or sectors are part of economy' is true. Should it be the case that some people mistakenly believe that if the statement 'light symbolizes knowledge, and darkness, ignorance' can be considered false, then the statement, either mice are by far the most common laboratory animal used for research or sectors are part of economy, does not hold, it follows that criminal punishment includes fines and imprisonment. Whenever it is true that criminal punishment includes fines and imprisonment, 'stools are semisolid to liquid and often carry blood' is true. Assuming punctuality varies between countries, we know that the statement that 'stools are semisolid to liquid and often carry blood' is incorrect. Assuming those that suggest punctuality varies between countries are wrong, we know that heart disease is the leading cause of death in postmenopausal women. The statement that 'heart disease is the leading cause of death in postmenopausal women' is incorrect.
|
The claim that light symbolizes knowledge, and darkness, ignorance holds true.
|
The claim that light symbolizes knowledge, and darkness, ignorance holds true.
|
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]. [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [5].
If [5], then [3].
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].).
[4] [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Tonens:
If (Not [4].), then [6].
Not [6].
Therefore, [4].
|
{0: 'Light symbolizes knowledge, and darkness, ignorance.', 1: 'Mice are by far the most common laboratory animal used for research.', 2: 'Sectors are part of economy.', 3: 'Stools are semisolid to liquid and often carry blood.', 4: 'Punctuality varies between countries.', 5: 'Criminal punishment includes fines and imprisonment.', 6: 'Heart disease is the leading cause of death in postmenopausal women.'}
| 5 |
4,494 |
['The claim that intense sunlight can lead to development of skin cancers is false.', "The statement 'either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress' can be considered false.", 'The claim that museums are located in sculpture is true.', "One may reasonably assume that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then the notion that 'skin responds to stimuli' is untrue.", 'Once we know the claim that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then skin responds to stimuli does not reflect reality, we also know that most nocturnal mammals inhabit areas.', "So long as the claim that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then skin responds to stimuli does not reflect reality, 'the statement that 'most nocturnal mammals inhabit areas' is incorrect' is true."]
|
The claim that intense sunlight can lead to development of skin cancers is false. The statement 'either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress' can be considered false. The claim that museums are located in sculpture is true. One may reasonably assume that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then the notion that 'skin responds to stimuli' is untrue. Once we know the claim that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then skin responds to stimuli does not reflect reality, we also know that most nocturnal mammals inhabit areas. So long as the claim that if it is not true that if museums are located in sculpture, then if it is a common misconception that either intense sunlight can lead to development of skin cancers or some beans are excreted by civets, then either most plants bear pale blue flowers or summer brings insects, heat and dry winds which put lawns under heat and drought stress, then skin responds to stimuli does not reflect reality, 'the statement that 'most nocturnal mammals inhabit areas' is incorrect' is true.
|
It is reasonable to believe that some beans are excreted by civets.
|
Some people mistakenly believe that some beans are excreted by civets.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).). [SC1-3]
[4]
Therefore, If (Not (Either [1] or [0].).), then (Either [2] or [3].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).), then [5]. [SC1-4]
If (Not (If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).), then (Not [5].).
Therefore, If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).), then [5].).), then [6].
If (Not (If (Not (If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).), then [5].).), then (Not [6].).
Therefore, If (Not (If [4], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).), then [5]..
|
{0: 'Some beans are excreted by civets.', 1: 'Intense sunlight can lead to development of skin cancers.', 2: 'Most plants bear pale blue flowers.', 3: 'Summer brings insects, heat and dry winds which put lawns under heat and drought stress.', 4: 'Museums are located in sculpture.', 5: 'Skin responds to stimuli.', 6: 'Most nocturnal mammals inhabit areas.'}
| 5 |
4,923 |
['It is not true that chemotherapy is given in tablets, via an intravenous line or occasionally through a spinal tap.', "Whenever it is true that the notion that 'if those that suggest if many proteins contain signal peptides at the beginning which are cleaved off afterwards, then chemotherapy is given in tablets, via an intravenous line or occasionally through a spinal tap are wrong, then fatal infection is caused by pathogen' is untrue, 'seams are also the most likely areas for boots to come apart with heavy use' is true.", "The statement 'seams are also the most likely areas for boots to come apart with heavy use' can be considered false.", 'Those that suggest major indian companies have strong presence are wrong.', 'At least one of two things is true: emotional abuse distorts the process of attachment and affective development, or most marine biologists handle dead specimens.', 'One may reasonably assume that if emotional abuse distorts the process of attachment and affective development, then either major indian companies have strong presence or the statement that states fatal infection is caused by pathogen is false.', "So long as most marine biologists handle dead specimens, 'either major indian companies have strong presence or the statement that states fatal infection is caused by pathogen is false' is true."]
|
It is not true that chemotherapy is given in tablets, via an intravenous line or occasionally through a spinal tap. Whenever it is true that the notion that 'if those that suggest if many proteins contain signal peptides at the beginning which are cleaved off afterwards, then chemotherapy is given in tablets, via an intravenous line or occasionally through a spinal tap are wrong, then fatal infection is caused by pathogen' is untrue, 'seams are also the most likely areas for boots to come apart with heavy use' is true. The statement 'seams are also the most likely areas for boots to come apart with heavy use' can be considered false. Those that suggest major indian companies have strong presence are wrong. At least one of two things is true: emotional abuse distorts the process of attachment and affective development, or most marine biologists handle dead specimens. One may reasonably assume that if emotional abuse distorts the process of attachment and affective development, then either major indian companies have strong presence or the statement that states fatal infection is caused by pathogen is false. So long as most marine biologists handle dead specimens, 'either major indian companies have strong presence or the statement that states fatal infection is caused by pathogen is false' is true.
|
The statement that 'many proteins contain signal peptides at the beginning which are cleaved off afterwards' is incorrect.
|
We know that the claim that proteins have many functions, however is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].
Not [3].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [2].). [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [4] or (Not [2].).).
If [6], then (Either [4] or (Not [2].).).
Therefore, Either [4] or (Not [2].)..
|
{0: 'Many proteins contain signal peptides at the beginning which are cleaved off afterwards.', 1: 'Chemotherapy is given in tablets, via an intravenous line or occasionally through a spinal tap.', 2: 'Fatal infection is caused by pathogen.', 3: 'Seams are also the most likely areas for boots to come apart with heavy use.', 4: 'Major indian companies have strong presence.', 5: 'Emotional abuse distorts the process of attachment and affective development.', 6: 'Most marine biologists handle dead specimens.'}
| 5 |
4,279 |
['It is not the case that light has color components collectively known as the spectrum.', 'When parathyroid hormones have effects is true, it follows that if vertebrates have (part) pedal extremities, then human beings experience fragmentariness, incompleteness and brokenness.', 'Assuming parathyroid hormones have effects, we know that the claim that if vertebrates have (part) pedal extremities, then human beings experience fragmentariness, incompleteness and brokenness does not reflect reality.', 'Once we know it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, we also know that forests mean different things to different people.', 'Given that the claim that if it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, then it is a common misconception that forests mean different things to different people is false, it can be inferred that macular degeneration is the leading cause of severe vision loss in both the USA and in Europe.', 'Given that the claim that if it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, then it is a common misconception that forests mean different things to different people is false, it can be inferred that it is not true that macular degeneration is the leading cause of severe vision loss in both the USA and in Europe.']
|
It is not the case that light has color components collectively known as the spectrum. When parathyroid hormones have effects is true, it follows that if vertebrates have (part) pedal extremities, then human beings experience fragmentariness, incompleteness and brokenness. Assuming parathyroid hormones have effects, we know that the claim that if vertebrates have (part) pedal extremities, then human beings experience fragmentariness, incompleteness and brokenness does not reflect reality. Once we know it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, we also know that forests mean different things to different people. Given that the claim that if it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, then it is a common misconception that forests mean different things to different people is false, it can be inferred that macular degeneration is the leading cause of severe vision loss in both the USA and in Europe. Given that the claim that if it is not the case that either light has color components collectively known as the spectrum or either parathyroid hormones have effects or either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers, then it is a common misconception that forests mean different things to different people is false, it can be inferred that it is not true that macular degeneration is the leading cause of severe vision loss in both the USA and in Europe.
|
Either one or both of these statements are true: proteins are the basic component of all animal and vegetable tissues, or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers.
|
Some people mistakenly believe that either proteins are the basic component of all animal and vegetable tissues or commercial TV is primarily an advertising medium, created to deliver audiences to advertisers.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either [2] or (Either [0] or [1].).). [SC1-2]
Not [5].
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [5] or (Either [2] or (Either [0] or [1].).).).), then [6].
If (Not (Either [5] or (Either [2] or (Either [0] or [1].).).).), then (Not [6].). [SC2-3]
Therefore, Either [5] or (Either [2] or (Either [0] or [1].).)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [5] or (Either [2] or (Either [0] or [1].).).).), then (Not [6].).).), then [7].
If (Not (If (Not (Either [5] or (Either [2] or (Either [0] or [1].).).).), then (Not [6].).).), then (Not [7].).
Therefore, If (Not (Either [5] or (Either [2] or (Either [0] or [1].).).).), then (Not [6].)..
[SC2-1]
Reductio Ad Absurdum:
If [2], then (If [3], then [4].).
If [2], then (Not (If [3], then [4].).).
Therefore, Not [2]..
|
{0: 'Proteins are the basic component of all animal and vegetable tissues.', 1: 'Commercial TV is primarily an advertising medium, created to deliver audiences to advertisers.', 2: 'Parathyroid hormones have effects.', 3: 'Vertebrates have (part) pedal extremities.', 4: 'Human beings experience fragmentariness, incompleteness and brokenness.', 5: 'Light has color components collectively known as the spectrum.', 6: 'Forests mean different things to different people.', 7: 'Macular degeneration is the leading cause of severe vision loss in both the USA and in Europe.'}
| 5 |
4,638 |
["When the notion that 'small intestines absorb nutrients' is untrue is true, it follows that the claim that electricity requires the movement of electrical charges does not reflect reality.", "Whenever it is true that either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine, 'if the claim that if the notion that 'small intestines absorb nutrients' is untrue, then electricity requires the movement of electrical charges does not correspond with reality, then alamedawell soils are ashy over loamy' is true.", "Assuming libraries can help build sustainable communities, we know that if the claim that if the notion that 'small intestines absorb nutrients' is untrue, then electricity requires the movement of electrical charges does not correspond with reality, then alamedawell soils are ashy over loamy.", 'Once we know alamedawell soils are ashy over loamy, we also know that many owls live in the bushes.', 'On the condition that alamedawell soils are ashy over loamy, it is definitely the case that it is not the case that many owls live in the bushes.', 'One may reasonably assume that if it is not the case that either either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine or libraries can help build sustainable communities, then some heat creates environments.', 'If it is not the case that either either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine or libraries can help build sustainable communities, then those that suggest some heat creates environments are wrong.']
|
When the notion that 'small intestines absorb nutrients' is untrue is true, it follows that the claim that electricity requires the movement of electrical charges does not reflect reality. Whenever it is true that either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine, 'if the claim that if the notion that 'small intestines absorb nutrients' is untrue, then electricity requires the movement of electrical charges does not correspond with reality, then alamedawell soils are ashy over loamy' is true. Assuming libraries can help build sustainable communities, we know that if the claim that if the notion that 'small intestines absorb nutrients' is untrue, then electricity requires the movement of electrical charges does not correspond with reality, then alamedawell soils are ashy over loamy. Once we know alamedawell soils are ashy over loamy, we also know that many owls live in the bushes. On the condition that alamedawell soils are ashy over loamy, it is definitely the case that it is not the case that many owls live in the bushes. One may reasonably assume that if it is not the case that either either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine or libraries can help build sustainable communities, then some heat creates environments. If it is not the case that either either animals migrate to habitats or many children sleep better when there is a bedtime ritual or routine or libraries can help build sustainable communities, then those that suggest some heat creates environments are wrong.
|
The idea that small intestines absorb nutrients is true.
|
Small intestines absorb sugar.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-3]
If (Either [4] or [5].), then (If (Not (If (Not [0].), then [1].).), then [2].).
If [6], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [4] or [5].) or [6].).), then [7].
If (Not (Either (Either [4] or [5].) or [6].).), then (Not [7].).
Therefore, Either (Either [4] or [5].) or [6]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].).
Therefore, Not [2]..
|
{0: 'Small intestines absorb nutrients.', 1: 'Electricity requires the movement of electrical charges.', 2: 'Alamedawell soils are ashy over loamy.', 3: 'Many owls live in the bushes.', 4: 'Animals migrate to habitats.', 5: 'Many children sleep better when there is a bedtime ritual or routine.', 6: 'Libraries can help build sustainable communities.', 7: 'Some heat creates environments.'}
| 5 |
4,485 |
['It is reasonable to believe that syrups add sugar and calories.', 'One may reasonably assume that if it is not true that if most particles have the size and composition of a large and dirty snowball, then many countries deal harshly with foreigners who are involved in traffic accidents, then passions are used for romance.', 'Once we know encryption depends upon the use of keys, we also know that if syrups add sugar and calories, then if if most particles have the size and composition of a large and dirty snowball, then many countries deal harshly with foreigners who are involved in traffic accidents, then job opens are job positions.', 'The claim that encryption depends upon the use of keys is true.', 'Assuming breeders acquire stock, we know that we know that the claim that passions are used for romance is false.', "The statement 'breeders acquire stock' is true."]
|
It is reasonable to believe that syrups add sugar and calories. One may reasonably assume that if it is not true that if most particles have the size and composition of a large and dirty snowball, then many countries deal harshly with foreigners who are involved in traffic accidents, then passions are used for romance. Once we know encryption depends upon the use of keys, we also know that if syrups add sugar and calories, then if if most particles have the size and composition of a large and dirty snowball, then many countries deal harshly with foreigners who are involved in traffic accidents, then job opens are job positions. The claim that encryption depends upon the use of keys is true. Assuming breeders acquire stock, we know that we know that the claim that passions are used for romance is false. The statement 'breeders acquire stock' is true.
|
It is a simple truth that job opens are job positions.
|
Incubation is shorter with increasing age.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If (If [1], then [2].), then [0].). [SC1-2]
[4]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Ponens:
If [5], then (If [4], then (If (If [1], then [2].), then [0].).).
[5]
Therefore, If [4], then (If (If [1], then [2].), then [0].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [3].
Not [3]. [SC2-2]
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If [6], then (Not [3].).
[6]
Therefore, Not [3]..
|
{0: 'Job opens are job positions.', 1: 'Most particles have the size and composition of a large and dirty snowball.', 2: 'Many countries deal harshly with foreigners who are involved in traffic accidents.', 3: 'Passions are used for romance.', 4: 'Syrups add sugar and calories.', 5: 'Encryption depends upon the use of keys.', 6: 'Breeders acquire stock.'}
| 5 |
4,568 |
['It is fair to say that lumber is woodwork.', 'One may reasonably assume that if baby bats have their own sound in order to survive, then if lumber is woodwork, then it is a common misconception that velocity is therefore also a vector quantity.', 'Given that if homeopathic medicine is based on the principle of similars , then most current markets are commodity based and discriminate on price rather than quality, it can be inferred that either electrical signals turn on individual pixels in a matrix of cells or baby bats have their own sound in order to survive.', 'Provided that chiefs have (part) nuclei, we know that either electrical signals turn on individual pixels in a matrix of cells or baby bats have their own sound in order to survive.', 'On the condition that the statement, if electrical signals turn on individual pixels in a matrix of cells, then if lumber is woodwork, then it is a common misconception that velocity is therefore also a vector quantity, does not hold, it is definitely the case that biodiversity is shorthand for biological diversity, the variety of life on Earth.', 'The claim that biodiversity is shorthand for biological diversity, the variety of life on Earth is false.', 'We know that at least one of two things is true: internal gills increase surface area with a lesser chance for damage than the external gills, or either if homeopathic medicine is based on the principle of similars , then most current markets are commodity based and discriminate on price rather than quality or chiefs have (part) nuclei.', 'It is not true that internal gills increase surface area with a lesser chance for damage than the external gills.']
|
It is fair to say that lumber is woodwork. One may reasonably assume that if baby bats have their own sound in order to survive, then if lumber is woodwork, then it is a common misconception that velocity is therefore also a vector quantity. Given that if homeopathic medicine is based on the principle of similars , then most current markets are commodity based and discriminate on price rather than quality, it can be inferred that either electrical signals turn on individual pixels in a matrix of cells or baby bats have their own sound in order to survive. Provided that chiefs have (part) nuclei, we know that either electrical signals turn on individual pixels in a matrix of cells or baby bats have their own sound in order to survive. On the condition that the statement, if electrical signals turn on individual pixels in a matrix of cells, then if lumber is woodwork, then it is a common misconception that velocity is therefore also a vector quantity, does not hold, it is definitely the case that biodiversity is shorthand for biological diversity, the variety of life on Earth. The claim that biodiversity is shorthand for biological diversity, the variety of life on Earth is false. We know that at least one of two things is true: internal gills increase surface area with a lesser chance for damage than the external gills, or either if homeopathic medicine is based on the principle of similars , then most current markets are commodity based and discriminate on price rather than quality or chiefs have (part) nuclei. It is not true that internal gills increase surface area with a lesser chance for damage than the external gills.
|
It is a common misconception that velocity is therefore also a vector quantity.
|
It is a common misconception that velocity is therefore also a vector quantity.
|
TRUE
|
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].).).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-3]
If (If [4], then [5].), then (Either [2] or [3].).
If [6], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (Either (If [4], then [5].) or [6].).
Not [8].
Therefore, Either (If [4], then [5].) or [6]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If [1], then (Not [0].).).).), then [7].
Not [7].
Therefore, If [2], then (If [1], then (Not [0].).)..
|
{0: 'Velocity is therefore also a vector quantity.', 1: 'Lumber is woodwork.', 2: 'Electrical signals turn on individual pixels in a matrix of cells.', 3: 'Baby bats have their own sound in order to survive.', 4: 'Homeopathic medicine is based on the principle of similars .', 5: 'Most current markets are commodity based and discriminate on price rather than quality.', 6: 'Chiefs have (part) nuclei.', 7: 'Biodiversity is shorthand for biological diversity, the variety of life on Earth.', 8: 'Internal gills increase surface area with a lesser chance for damage than the external gills.'}
| 5 |
4,108 |
["So long as it is not true that some sambar deer eat bark, 'it is not the case that dandelions are fast growers, the sunny yellow flowers going from bud to seed in days' is true.", 'One may reasonably assume that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then decapods are preyed upon by a variety of predators from alligators to fishes.', 'On the condition that we know that the claim that if some stress is a normal part of daily life, then dandelions are fast growers, the sunny yellow flowers going from bud to seed in days is false, it is definitely the case that energizers are devices.', 'The claim that energizers are devices has no merit.', 'Given that we know that the claim that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then the claim that decapods are preyed upon by a variety of predators from alligators to fishes does not reflect reality is false, it can be inferred that affordable energy provides the warmth, light and mobility that enhance our daily lives.', 'Provided that we know that the claim that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then the claim that decapods are preyed upon by a variety of predators from alligators to fishes does not reflect reality is false, we know that we know that the claim that affordable energy provides the warmth, light and mobility that enhance our daily lives is false.']
|
So long as it is not true that some sambar deer eat bark, 'it is not the case that dandelions are fast growers, the sunny yellow flowers going from bud to seed in days' is true. One may reasonably assume that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then decapods are preyed upon by a variety of predators from alligators to fishes. On the condition that we know that the claim that if some stress is a normal part of daily life, then dandelions are fast growers, the sunny yellow flowers going from bud to seed in days is false, it is definitely the case that energizers are devices. The claim that energizers are devices has no merit. Given that we know that the claim that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then the claim that decapods are preyed upon by a variety of predators from alligators to fishes does not reflect reality is false, it can be inferred that affordable energy provides the warmth, light and mobility that enhance our daily lives. Provided that we know that the claim that if the statement that states if it is not true that some sambar deer eat bark, then some stress is a normal part of daily life is false, then the claim that decapods are preyed upon by a variety of predators from alligators to fishes does not reflect reality is false, we know that we know that the claim that affordable energy provides the warmth, light and mobility that enhance our daily lives is false.
|
It is true that some sambar deer eat bark.
|
The notion that 'some sambar deer eat bark' is untrue.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [2].).), then [4].
If (Not (If (Not [0].), then [2].).), then (Not [4].). [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [2].).), then (Not [4].).).), then [5].
If (Not (If (Not (If (Not [0].), then [2].).), then (Not [4].).).), then (Not [5].).
Therefore, If (Not (If (Not [0].), then [2].).), then (Not [4].)..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [3].
Not [3].
Therefore, If [2], then [1]..
|
{0: 'Some sambar deer eat bark.', 1: 'Dandelions are fast growers, the sunny yellow flowers going from bud to seed in days.', 2: 'Some stress is a normal part of daily life.', 3: 'Energizers are devices.', 4: 'Decapods are preyed upon by a variety of predators from alligators to fishes.', 5: 'Affordable energy provides the warmth, light and mobility that enhance our daily lives.'}
| 5 |
4,367 |
['Given that it is not the case that networked environments increase the acquisition and usage of electronic documents, it can be inferred that native antimony is nearly indistinguishable from native arsenic.', 'When native antimony is nearly indistinguishable from native arsenic is true, it follows that muslim history is full of women who have made positive contributions.', 'We know that either source of energy is dead organic matter or if it is not true that if it is not the case that networked environments increase the acquisition and usage of electronic documents, then the claim that muslim history is full of women who have made positive contributions has no merit, then liquid fuel is liquids.', 'We know that the claim that source of energy is dead organic matter is false.', 'Provided that liquid fuel is liquids, we know that some alligator turtles live to ages.', 'The claim that some alligator turtles live to ages does not reflect reality.']
|
Given that it is not the case that networked environments increase the acquisition and usage of electronic documents, it can be inferred that native antimony is nearly indistinguishable from native arsenic. When native antimony is nearly indistinguishable from native arsenic is true, it follows that muslim history is full of women who have made positive contributions. We know that either source of energy is dead organic matter or if it is not true that if it is not the case that networked environments increase the acquisition and usage of electronic documents, then the claim that muslim history is full of women who have made positive contributions has no merit, then liquid fuel is liquids. We know that the claim that source of energy is dead organic matter is false. Provided that liquid fuel is liquids, we know that some alligator turtles live to ages. The claim that some alligator turtles live to ages does not reflect reality.
|
It is true that networked environments increase the acquisition and usage of electronic documents.
|
Those that suggest networked environments increase the acquisition and usage of electronic documents 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]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not [0].), then (Not [1].).).), then [3].).
Not [4].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC2-2]
Modus Tonens:
If [3], then [5].
Not [5].
Therefore, Not [3]..
|
{0: 'Networked environments increase the acquisition and usage of electronic documents.', 1: 'Muslim history is full of women who have made positive contributions.', 2: 'Native antimony is nearly indistinguishable from native arsenic.', 3: 'Liquid fuel is liquids.', 4: 'Source of energy is dead organic matter.', 5: 'Some alligator turtles live to ages.'}
| 5 |
4,644 |
['Either one or both of these statements are true: some soybean meals reduce phosphorus excretion, or spiders inhabit ranges.', 'Given that some soybean meals reduce phosphorus excretion, it can be inferred that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then some babies do chew on their cribs, and ingesting lead can cause brain damage.', 'When spiders inhabit ranges is true, it follows that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then some babies do chew on their cribs, and ingesting lead can cause brain damage.', 'On the condition that it is a common misconception that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then it is not true that some babies do chew on their cribs, and ingesting lead can cause brain damage, it is definitely the case that it is not true that if most onions grown in Oregon are long-day onions, then doormat isa person.', 'If smallpox is highly infectious, fatal in a third of cases, then if it is a common misconception that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then it is not true that some babies do chew on their cribs, and ingesting lead can cause brain damage, then if most onions grown in Oregon are long-day onions, then doormat isa person.', 'Assuming scientists can estimate how much of each type of carbon is in the body of a living organism, we know that smallpox is highly infectious, fatal in a third of cases.', 'It is a simple truth that scientists can estimate how much of each type of carbon is in the body of a living organism.']
|
Either one or both of these statements are true: some soybean meals reduce phosphorus excretion, or spiders inhabit ranges. Given that some soybean meals reduce phosphorus excretion, it can be inferred that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then some babies do chew on their cribs, and ingesting lead can cause brain damage. When spiders inhabit ranges is true, it follows that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then some babies do chew on their cribs, and ingesting lead can cause brain damage. On the condition that it is a common misconception that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then it is not true that some babies do chew on their cribs, and ingesting lead can cause brain damage, it is definitely the case that it is not true that if most onions grown in Oregon are long-day onions, then doormat isa person. If smallpox is highly infectious, fatal in a third of cases, then if it is a common misconception that if those that suggest if pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, then many States have equal employment opportunity laws that protect against pregnancy discrimination are wrong, then it is not true that some babies do chew on their cribs, and ingesting lead can cause brain damage, then if most onions grown in Oregon are long-day onions, then doormat isa person. Assuming scientists can estimate how much of each type of carbon is in the body of a living organism, we know that smallpox is highly infectious, fatal in a third of cases. It is a simple truth that scientists can estimate how much of each type of carbon is in the body of a living organism.
|
On the condition that pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs, it is definitely the case that many States have equal employment opportunity laws that protect against pregnancy discrimination.
|
When walnut grows throughout Missouri in a variety of soils is true, it follows that many States have equal employment opportunity laws that protect against pregnancy discrimination.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [0], then [1].).), then [2].).
If [6], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (If [3], then [4].). [SC1-2]
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not (If [3], then [4].).).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (If [3], then [4].).).
[7] [SC2-3]
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (If [3], then [4].)..
[SC2-3]
Modus Ponens:
If [8], then [7].
[8]
Therefore, [7].
|
{0: 'Pulmonary hemosiderosis is an uncommon condition that results from bleeding in the lungs.', 1: 'Many States have equal employment opportunity laws that protect against pregnancy discrimination.', 2: 'Some babies do chew on their cribs, and ingesting lead can cause brain damage.', 3: 'Most onions grown in Oregon are long-day onions.', 4: 'Doormat isa person.', 5: 'Some soybean meals reduce phosphorus excretion.', 6: 'Spiders inhabit ranges.', 7: 'Smallpox is highly infectious, fatal in a third of cases.', 8: 'Scientists can estimate how much of each type of carbon is in the body of a living organism.'}
| 5 |
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