id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
| label
stringclasses 3
values | arg
stringlengths 54
2.02k
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stringlengths 51
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int64 1
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5,993 |
['When patents provide the right to exclude others from making, using and selling an invention is true, it follows that transfers sugars to the protein during translocation.', 'It is a fact that either either ivory derives from elephants or infertility can occur without a single noticeable symptom or most mule deer get water.', "Whenever it is true that either ivory derives from elephants or infertility can occur without a single noticeable symptom, 'if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then the claim that rainforests create their own climate is false' is true.", 'It is rational to believe that either either individuals provide valuable information or badgers are nocturnal animals or computers software is used to simulate a system dynamics model of the situation being studied.', 'When either individuals provide valuable information or badgers are nocturnal animals is true, it follows that if if patents provide the right to exclude others from making, using and selling an invention, then transfers sugars to the protein during translocation, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then rainforests create their own climate.', 'Once we know the claim that if most mule deer get water, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then the claim that rainforests create their own climate is false has no merit, we also know that monkeys hide in forests.', 'The statement, monkeys hide in forests, does not hold.', "Whenever it is true that the claim that if computers software is used to simulate a system dynamics model of the situation being studied, then if if patents provide the right to exclude others from making, using and selling an invention, then transfers sugars to the protein during translocation, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then rainforests create their own climate does not correspond with reality, 'love is the fulfilment of the law' is true.", 'The claim that love is the fulfilment of the law is false.']
|
When patents provide the right to exclude others from making, using and selling an invention is true, it follows that transfers sugars to the protein during translocation. It is a fact that either either ivory derives from elephants or infertility can occur without a single noticeable symptom or most mule deer get water. Whenever it is true that either ivory derives from elephants or infertility can occur without a single noticeable symptom, 'if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then the claim that rainforests create their own climate is false' is true. It is rational to believe that either either individuals provide valuable information or badgers are nocturnal animals or computers software is used to simulate a system dynamics model of the situation being studied. When either individuals provide valuable information or badgers are nocturnal animals is true, it follows that if if patents provide the right to exclude others from making, using and selling an invention, then transfers sugars to the protein during translocation, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then rainforests create their own climate. Once we know the claim that if most mule deer get water, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then the claim that rainforests create their own climate is false has no merit, we also know that monkeys hide in forests. The statement, monkeys hide in forests, does not hold. Whenever it is true that the claim that if computers software is used to simulate a system dynamics model of the situation being studied, then if if patents provide the right to exclude others from making, using and selling an invention, then transfers sugars to the protein during translocation, then if the statement, febrile seizures are limited to the young, probably under three years old, does not hold, then rainforests create their own climate does not correspond with reality, 'love is the fulfilment of the law' is true. The claim that love is the fulfilment of the law is false.
|
Many people rightly believe that febrile seizures are limited to the young, probably under three years old.
|
Febrile seizures can occur with only a minimally elevated temperature.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (If (Not [0].), then [1].). [SC1-2]
If [5], then [6].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If (If [5], then [6].), then (If (Not [0].), then [1].).).
If [10], then (If (If [5], then [6].), then (If (Not [0].), then [1].).). [SC3-3]
Therefore, If (If [5], then [6].), then (If (Not [0].), then [1].)..
[SC3-3]
Modus Tonens:
If (Not (If [10], then (If (If [5], then [6].), then (If (Not [0].), then [1].).).).), then [11].
Not [11].
Therefore, If [10], then (If (If [5], then [6].), then (If (Not [0].), then [1].).)..
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).
If [4], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If (Not [0].), then (Not [1].).).).), then [7].
Not [7].
Therefore, If [4], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Febrile seizures are limited to the young, probably under three years old.', 1: 'Rainforests create their own climate.', 2: 'Ivory derives from elephants.', 3: 'Infertility can occur without a single noticeable symptom.', 4: 'Most mule deer get water.', 5: 'Patents provide the right to exclude others from making, using and selling an invention.', 6: 'Transfers sugars to the protein during translocation.', 7: 'Monkeys hide in forests.', 8: 'Individuals provide valuable information.', 9: 'Badgers are nocturnal animals.', 10: 'Computers software is used to simulate a system dynamics model of the situation being studied.', 11: 'Love is the fulfilment of the law.'}
| 6 |
5,859 |
["Given that the statement 'either sharks can smell blood from over a mile away or those that suggest either crabs are located in rocks or mist can be as high as mountain tops when extreme temperatures are low are wrong' can be considered false, it can be inferred that all states have slayer laws that prohibit killers from inheriting from their victims.", "The notion that 'all states have slayer laws that prohibit killers from inheriting from their victims' is untrue.", 'The claim that snowshoe hares are larger than cottontail rabbits does not correspond with reality.', 'Given that prosody is usually abnormal in children with autism, it can be inferred that either fish have (part) brains or either snowshoe hares are larger than cottontail rabbits or it is not true that sharks can smell blood from over a mile away.', 'The claim that prosody is usually abnormal in children with autism is true.', 'If fish have (part) brains, then seedlings show growth.', 'If fish have (part) brains, then those that suggest seedlings show growth are wrong.']
|
Given that the statement 'either sharks can smell blood from over a mile away or those that suggest either crabs are located in rocks or mist can be as high as mountain tops when extreme temperatures are low are wrong' can be considered false, it can be inferred that all states have slayer laws that prohibit killers from inheriting from their victims. The notion that 'all states have slayer laws that prohibit killers from inheriting from their victims' is untrue. The claim that snowshoe hares are larger than cottontail rabbits does not correspond with reality. Given that prosody is usually abnormal in children with autism, it can be inferred that either fish have (part) brains or either snowshoe hares are larger than cottontail rabbits or it is not true that sharks can smell blood from over a mile away. The claim that prosody is usually abnormal in children with autism is true. If fish have (part) brains, then seedlings show growth. If fish have (part) brains, then those that suggest seedlings show growth are wrong.
|
Those that suggest either crabs are located in rocks or mist can be as high as mountain tops when extreme temperatures are low are wrong.
|
It is not the case that crabs are located in baskets.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Not (Either [0] or [1].).). [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (Not (Either [0] or [1].).).).), then [4].
Not [4].
Therefore, Either [2] or (Not (Either [0] or [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3].
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or (Not [2].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [3] or (Not [2].)..
[SC1-3]
Modus Ponens:
If [7], then (Either [5] or (Either [3] or (Not [2].).).).
[7]
Therefore, Either [5] or (Either [3] or (Not [2].).)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
|
{0: 'Crabs are located in rocks.', 1: 'Mist can be as high as mountain tops when extreme temperatures are low.', 2: 'Sharks can smell blood from over a mile away.', 3: 'Snowshoe hares are larger than cottontail rabbits.', 4: 'All states have slayer laws that prohibit killers from inheriting from their victims.', 5: 'Fish have (part) brains.', 6: 'Seedlings show growth.', 7: 'Prosody is usually abnormal in children with autism.'}
| 6 |
5,298 |
['Given that either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources, it can be inferred that centrifugal force is one of the major causes of tractor upsets.', 'We know that the claim that either sin is rebellion against the highest authority or cold gas can burn the skin as well as the lips and throat is false.', 'It is rational to believe that either some dinoflagellates have organelles or alfalfa lacks sufficient ground cover.', 'On the condition that some dinoflagellates have organelles, it is definitely the case that if archivists provide safekeeping for documents designated worthy of permanent preservation, then either either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other or either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources.', 'Assuming alfalfa lacks sufficient ground cover, we know that if archivists provide safekeeping for documents designated worthy of permanent preservation, then either either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other or either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources.', 'We know that at least one of two things is true: most species occurring in Tasmania give birth to live young, or archivists provide safekeeping for documents designated worthy of permanent preservation.', 'It is not the case that most species occurring in Tasmania give birth to live young.', "One may reasonably assume that if it is not the case that if the statement that 'if either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other, then centrifugal force is one of the major causes of tractor upsets' is incorrect, then either sin is rebellion against the highest authority or cold gas can burn the skin as well as the lips and throat, then rape occurs when an attacker takes control from a woman in reality.", 'It is not true that rape occurs when an attacker takes control from a woman in reality.']
|
Given that either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources, it can be inferred that centrifugal force is one of the major causes of tractor upsets. We know that the claim that either sin is rebellion against the highest authority or cold gas can burn the skin as well as the lips and throat is false. It is rational to believe that either some dinoflagellates have organelles or alfalfa lacks sufficient ground cover. On the condition that some dinoflagellates have organelles, it is definitely the case that if archivists provide safekeeping for documents designated worthy of permanent preservation, then either either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other or either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources. Assuming alfalfa lacks sufficient ground cover, we know that if archivists provide safekeeping for documents designated worthy of permanent preservation, then either either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other or either roses are a popular crop for both domestic and commercial cut flowers or taxes are re-allocation of economic resources. We know that at least one of two things is true: most species occurring in Tasmania give birth to live young, or archivists provide safekeeping for documents designated worthy of permanent preservation. It is not the case that most species occurring in Tasmania give birth to live young. One may reasonably assume that if it is not the case that if the statement that 'if either molecular oxygen acts as the final electron acceptor or galaxies never crash into each other, then centrifugal force is one of the major causes of tractor upsets' is incorrect, then either sin is rebellion against the highest authority or cold gas can burn the skin as well as the lips and throat, then rape occurs when an attacker takes control from a woman in reality. It is not true that rape occurs when an attacker takes control from a woman in reality.
|
The statement that states centrifugal force is one of the major causes of tractor upsets is right.
|
The statement that states centrifugal force is one of the major causes of tractor upsets is right.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or (Either [3] or [4].). [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If (Either [3] or [4].), then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [7], then (Either (Either [1] or [2].) or (Either [3] or [4].).). [SC1-2]
[7] [SC2-2]
Therefore, Either (Either [1] or [2].) or (Either [3] or [4].)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Either (Either [1] or [2].) or (Either [3] or [4].).).).
If [9], then (If [7], then (Either (Either [1] or [2].) or (Either [3] or [4].).).).
Therefore, If [7], then (Either (Either [1] or [2].) or (Either [3] or [4].).)..
[SC2-2]
Disjunctive Syllogism:
Either [10] or [7].
Not [10].
Therefore, [7].
[SC2-1]
Modus Tonens:
If (Not (If (Either [1] or [2].), then [0].).), then (Either [5] or [6].). [SC1-2]
Not (Either [5] or [6].).
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then (Either [5] or [6].).).), then [11].
Not [11].
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then (Either [5] or [6].)..
|
{0: 'Centrifugal force is one of the major causes of tractor upsets.', 1: 'Molecular oxygen acts as the final electron acceptor.', 2: 'Galaxies never crash into each other.', 3: 'Roses are a popular crop for both domestic and commercial cut flowers .', 4: 'Taxes are re-allocation of economic resources.', 5: 'Sin is rebellion against the highest authority.', 6: 'Cold gas can burn the skin as well as the lips and throat.', 7: 'Archivists provide safekeeping for documents designated worthy of permanent preservation.', 8: 'Some dinoflagellates have organelles.', 9: 'Alfalfa lacks sufficient ground cover.', 10: 'Most species occurring in Tasmania give birth to live young.', 11: 'Rape occurs when an attacker takes control from a woman in reality.'}
| 6 |
5,553 |
['It is a fact that either small businesses are also part of a commercial food chain that large businesses depend upon or virtual Reality is used in fields of film, medicine, and for entertainment.', 'One may reasonably assume that if tuataras have a prominent spiny crest along the neck and down the back, then those that suggest small businesses are also part of a commercial food chain that large businesses depend upon are wrong.', 'It is rational to believe that either either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions or either uranium enrichment is central to the nuclear fuel cycle or most strange creatures have claws.', 'If either uranium enrichment is central to the nuclear fuel cycle or most strange creatures have claws, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back.', 'Either one or both of these statements are true: if a batiste is cloth, then most bowhead whales gather food, or if radio microphones allow the speaker more freedom of movement, then those that suggest small businesses are also part of a commercial food chain that large businesses depend upon are wrong.', 'Should it be the case that the statement, if either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back, does not hold, it follows that many people keep guns to protect themselves and there families.', 'If the statement, if either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back, does not hold, then some people mistakenly believe that many people keep guns to protect themselves and there families.', "Whenever it is true that if a batiste is cloth, then most bowhead whales gather food, 'copper can easily leach into the drinking water as the pipes age' is true.", "Whenever it is true that if a batiste is cloth, then most bowhead whales gather food, 'it is not true that copper can easily leach into the drinking water as the pipes age' is true."]
|
It is a fact that either small businesses are also part of a commercial food chain that large businesses depend upon or virtual Reality is used in fields of film, medicine, and for entertainment. One may reasonably assume that if tuataras have a prominent spiny crest along the neck and down the back, then those that suggest small businesses are also part of a commercial food chain that large businesses depend upon are wrong. It is rational to believe that either either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions or either uranium enrichment is central to the nuclear fuel cycle or most strange creatures have claws. If either uranium enrichment is central to the nuclear fuel cycle or most strange creatures have claws, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back. Either one or both of these statements are true: if a batiste is cloth, then most bowhead whales gather food, or if radio microphones allow the speaker more freedom of movement, then those that suggest small businesses are also part of a commercial food chain that large businesses depend upon are wrong. Should it be the case that the statement, if either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back, does not hold, it follows that many people keep guns to protect themselves and there families. If the statement, if either penguins require sea ice for nesting and feeding areas or genes are portions of the DNA molecule that fulfill specific functions, then either radio microphones allow the speaker more freedom of movement or tuataras have a prominent spiny crest along the neck and down the back, does not hold, then some people mistakenly believe that many people keep guns to protect themselves and there families. Whenever it is true that if a batiste is cloth, then most bowhead whales gather food, 'copper can easily leach into the drinking water as the pipes age' is true. Whenever it is true that if a batiste is cloth, then most bowhead whales gather food, 'it is not true that copper can easily leach into the drinking water as the pipes age' is true.
|
It is fair to say that virtual Reality is used in fields of film, medicine, and for entertainment.
|
The notion that 'virtual Reality is used in fields of film, medicine, and for entertainment' is untrue.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [4] or [5].) or (Either [6] or [7].).
If (Either [4] or [5].), then (Either [2] or [3].). [SC2-3]
If (Either [6] or [7].), then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (Either [2] or [3].).).), then [11].
If (Not (If (Either [4] or [5].), then (Either [2] or [3].).).), then (Not [11].).
Therefore, If (Either [4] or [5].), then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If [2], then (Not [1].).).
Not (If [8], then [9].). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [8], then [9].), then [10].
If (If [8], then [9].), then (Not [10].).
Therefore, Not (If [8], then [9].)..
|
{0: 'Virtual Reality is used in fields of film, medicine, and for entertainment.', 1: 'Small businesses are also part of a commercial food chain that large businesses depend upon.', 2: 'Radio microphones allow the speaker more freedom of movement.', 3: 'Tuataras have a prominent spiny crest along the neck and down the back.', 4: 'Penguins require sea ice for nesting and feeding areas.', 5: 'Genes are portions of the DNA molecule that fulfill specific functions.', 6: 'Uranium enrichment is central to the nuclear fuel cycle.', 7: 'Most strange creatures have claws.', 8: 'A batiste is cloth.', 9: 'Most bowhead whales gather food.', 10: 'Copper can easily leach into the drinking water as the pipes age.', 11: 'Many people keep guns to protect themselves and there families.'}
| 6 |
5,672 |
['The statement that states black ice is invisible is false.', 'It is a fact that either most animals try to stay away from weasels or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then the statement that states coasts are views is false.', 'It is a fact that either exploration leads to discoveries or kittens have (part) cytoplasm.', 'Once we know exploration leads to discoveries, we also know that either black ice is invisible or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then coasts are views.', "We know that at least one of two things is true: geothermal heat pumps, or the notion that 'most animals try to stay away from weasels' is untrue.", 'The statement, geothermal heat pumps, does not hold.', 'Provided that the claim that if kittens have (part) cytoplasm, then either black ice is invisible or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then coasts are views does not reflect reality, we know that compaction reduces the porosity, the addition of grit and organic matter increases it.', 'The statement that states compaction reduces the porosity, the addition of grit and organic matter increases it is false.']
|
The statement that states black ice is invisible is false. It is a fact that either most animals try to stay away from weasels or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then the statement that states coasts are views is false. It is a fact that either exploration leads to discoveries or kittens have (part) cytoplasm. Once we know exploration leads to discoveries, we also know that either black ice is invisible or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then coasts are views. We know that at least one of two things is true: geothermal heat pumps, or the notion that 'most animals try to stay away from weasels' is untrue. The statement, geothermal heat pumps, does not hold. Provided that the claim that if kittens have (part) cytoplasm, then either black ice is invisible or if alcian blue is used to stain cartilage and alizarin red is used to stain bone, then coasts are views does not reflect reality, we know that compaction reduces the porosity, the addition of grit and organic matter increases it. The statement that states compaction reduces the porosity, the addition of grit and organic matter increases it is false.
|
The statement that 'alcian blue is used to stain cartilage and alizarin red is used to stain bone' is incorrect.
|
Alcian blue is used to stain cartilage and alizarin red is used to stain bone.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].). [SC1-2]
Not [3].
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [3] or (If [0], then [1].).).
If [6], then (Either [3] or (If [0], then [1].).). [SC3-3]
Therefore, Either [3] or (If [0], then [1].)..
[SC3-3]
Modus Tonens:
If (Not (If [6], then (Either [3] or (If [0], then [1].).).).), then [7].
Not [7].
Therefore, If [6], then (Either [3] or (If [0], then [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If [0], then (Not [1].).).
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [2].).
Not [4].
Therefore, Not [2]..
|
{0: 'Alcian blue is used to stain cartilage and alizarin red is used to stain bone.', 1: 'Coasts are views.', 2: 'Most animals try to stay away from weasels.', 3: 'Black ice is invisible.', 4: 'Geothermal heat pumps.', 5: 'Exploration leads to discoveries.', 6: 'Kittens have (part) cytoplasm.', 7: 'Compaction reduces the porosity, the addition of grit and organic matter increases it.'}
| 6 |
5,971 |
["The statement 'smoking is a woman's number one risk factor for heart disease' can be considered false.", "Should it be the case that the statement 'if light sources is a general term applied to any source of light used in photography, then either smoking is a woman's number one risk factor for heart disease or either most starfishs feed on mussels or large predators compete for food' can be considered false, it follows that either lactic acid is produced in animals and is associated with muscle fatigue or pinworm isa nematode.", 'One may reasonably assume that if the statement that states light sources is a general term applied to any source of light used in photography is false, then a polemic is an author.', "The statement that 'a polemic is an author' is incorrect.", "The notion that 'alcohol increases the risk of heart rhythm problems and sudden death' is untrue.", 'On the condition that either lactic acid is produced in animals and is associated with muscle fatigue or pinworm isa nematode, it is definitely the case that bicycle racing is the second most popular spectator sport in the world, behind only soccer.', 'Assuming bicycle racing is the second most popular spectator sport in the world, behind only soccer, we know that alcohol increases the risk of heart rhythm problems and sudden death.']
|
The statement 'smoking is a woman's number one risk factor for heart disease' can be considered false. Should it be the case that the statement 'if light sources is a general term applied to any source of light used in photography, then either smoking is a woman's number one risk factor for heart disease or either most starfishs feed on mussels or large predators compete for food' can be considered false, it follows that either lactic acid is produced in animals and is associated with muscle fatigue or pinworm isa nematode. One may reasonably assume that if the statement that states light sources is a general term applied to any source of light used in photography is false, then a polemic is an author. The statement that 'a polemic is an author' is incorrect. The notion that 'alcohol increases the risk of heart rhythm problems and sudden death' is untrue. On the condition that either lactic acid is produced in animals and is associated with muscle fatigue or pinworm isa nematode, it is definitely the case that bicycle racing is the second most popular spectator sport in the world, behind only soccer. Assuming bicycle racing is the second most popular spectator sport in the world, behind only soccer, we know that alcohol increases the risk of heart rhythm problems and sudden death.
|
We know that either most starfishs feed on mussels or large predators compete for food.
|
At least one of two things is true: starfishs have (part) corpi, or large predators have population size.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2].
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (Either [2] or (Either [0] or [1].).). [SC1-2]
[3] [SC2-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (Either [2] or (Either [0] or [1].).).).), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-3]
Therefore, If [3], then (Either [2] or (Either [0] or [1].).)..
[SC2-3]
Modus Tonens:
If (Either [5] or [6].), then [7]. [SC1-4]
Not [7].
Therefore, Not (Either [5] or [6].)..
[SC1-4]
Hypothetical Syllogism:
If (Either [5] or [6].), then [8].
If [8], then [7].
Therefore, If (Either [5] or [6].), then [7]..
[SC2-2]
Modus Tonens:
If (Not [3].), then [4].
Not [4].
Therefore, [3].
|
{0: 'Most starfishs feed on mussels.', 1: 'Large predators compete for food.', 2: "Smoking is a woman's number one risk factor for heart disease.", 3: 'Light sources is a general term applied to any source of light used in photography.', 4: 'A polemic is an author.', 5: 'Lactic acid is produced in animals and is associated with muscle fatigue.', 6: 'Pinworm isa nematode.', 7: 'Alcohol increases the risk of heart rhythm problems and sudden death.', 8: 'Bicycle racing is the second most popular spectator sport in the world, behind only soccer.'}
| 6 |
5,027 |
["Provided that breeds produce taste beef, we know that the statement 'either most vaginal discharge has a distinct smell and is kind of white or off-white color or most fish are located in streams' can be considered false.", 'Given that the claim that if some diets consist of dead animals, then if breeds produce taste beef, then either most vaginal discharge has a distinct smell and is kind of white or off-white color or most fish are located in streams has no merit, it can be inferred that lupiCare products contain no cortisone or steroids.', 'The claim that lupiCare products contain no cortisone or steroids has no merit.', 'On the condition that it is not the case that some diets consist of dead animals, it is definitely the case that roads cause direct mortality of many species and modify animal behavior.', 'Assuming it is not the case that some diets consist of dead animals, we know that older mares have older ova which are more susceptible to early embryonic death.', "If the statement, if older mares have older ova which are more susceptible to early embryonic death, then the statement 'roads cause direct mortality of many species and modify animal behavior' can be considered false, does not hold, then if monarchs have (part) necks, then tension headaches is triggered by psychological and physical stress.", 'It is not true that if monarchs have (part) necks, then tension headaches is triggered by psychological and physical stress.']
|
Provided that breeds produce taste beef, we know that the statement 'either most vaginal discharge has a distinct smell and is kind of white or off-white color or most fish are located in streams' can be considered false. Given that the claim that if some diets consist of dead animals, then if breeds produce taste beef, then either most vaginal discharge has a distinct smell and is kind of white or off-white color or most fish are located in streams has no merit, it can be inferred that lupiCare products contain no cortisone or steroids. The claim that lupiCare products contain no cortisone or steroids has no merit. On the condition that it is not the case that some diets consist of dead animals, it is definitely the case that roads cause direct mortality of many species and modify animal behavior. Assuming it is not the case that some diets consist of dead animals, we know that older mares have older ova which are more susceptible to early embryonic death. If the statement, if older mares have older ova which are more susceptible to early embryonic death, then the statement 'roads cause direct mortality of many species and modify animal behavior' can be considered false, does not hold, then if monarchs have (part) necks, then tension headaches is triggered by psychological and physical stress. It is not true that if monarchs have (part) necks, then tension headaches is triggered by psychological and physical stress.
|
Some people mistakenly believe that breeds produce taste beef.
|
Those that suggest breeds survive temperate climates are wrong.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].). [SC1-1]
If [0], then (Not (Either [1] or [2].).).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (If [0], then (Either [1] or [2].).). [SC1-2]
[3] [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (If [0], then (Either [1] or [2].).).).), then [4].
Not [4].
Therefore, If [3], then (If [0], then (Either [1] or [2].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [5].
If (Not [3].), then (Not [5].). [SC2-3]
Therefore, [3].
[SC2-3]
Hypothetical Syllogism:
If (Not [3].), then [6].
If [6], then (Not [5].). [SC2-4]
Therefore, If (Not [3].), then (Not [5].)..
[SC2-4]
Modus Tonens:
If (Not (If [6], then (Not [5].).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [6], then (Not [5].)..
|
{0: 'Breeds produce taste beef.', 1: 'Most vaginal discharge has a distinct smell and is kind of white or off-white color.', 2: 'Most fish are located in streams.', 3: 'Some diets consist of dead animals.', 4: 'LupiCare products contain no cortisone or steroids.', 5: 'Roads cause direct mortality of many species and modify animal behavior.', 6: 'Older mares have older ova which are more susceptible to early embryonic death.', 7: 'Monarchs have (part) necks.', 8: 'Tension headaches is triggered by psychological and physical stress.'}
| 6 |
5,231 |
["Whenever it is true that either deductibles save money or some fleas feed on infect rats, 'transgenes allow breeders to incorporate completely novel traits into crop varieties' is true.", "It is a fact that either most religions permit cremation or the statement that 'happiness is our decision to let go of judgments based upon the past' is incorrect.", 'On the condition that transgenes allow breeders to incorporate completely novel traits into crop varieties, it is definitely the case that corporations can only act through their individual employees and agents.', 'Should it be the case that corporations can only act through their individual employees and agents, it follows that happiness is our decision to let go of judgments based upon the past.', 'The claim that a battalion is a force has no merit.', 'Once we know it is not true that either a battalion is a force or the statement, most religions permit cremation, does not hold, we also know that nymphs go through three instars and a pupa stage before reaching adulthood.', 'Provided that it is not true that either a battalion is a force or the statement, most religions permit cremation, does not hold, we know that the statement, nymphs go through three instars and a pupa stage before reaching adulthood, does not hold.']
|
Whenever it is true that either deductibles save money or some fleas feed on infect rats, 'transgenes allow breeders to incorporate completely novel traits into crop varieties' is true. It is a fact that either most religions permit cremation or the statement that 'happiness is our decision to let go of judgments based upon the past' is incorrect. On the condition that transgenes allow breeders to incorporate completely novel traits into crop varieties, it is definitely the case that corporations can only act through their individual employees and agents. Should it be the case that corporations can only act through their individual employees and agents, it follows that happiness is our decision to let go of judgments based upon the past. The claim that a battalion is a force has no merit. Once we know it is not true that either a battalion is a force or the statement, most religions permit cremation, does not hold, we also know that nymphs go through three instars and a pupa stage before reaching adulthood. Provided that it is not true that either a battalion is a force or the statement, most religions permit cremation, does not hold, we know that the statement, nymphs go through three instars and a pupa stage before reaching adulthood, does not hold.
|
The statement that 'either deductibles save money or some fleas feed on infect rats' is incorrect.
|
The statement that 'either deductibles save money or some fleas feed on infect rats' is incorrect.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Hypothetical Syllogism:
If (Either [0] or [1].), then [3].
If [3], then [2]. [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [5].
If [5], then [2].
Therefore, If [3], then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [2].).
Not [4]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [4].). [SC1-3]
Not [6].
Therefore, Not [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (Not [4].).).), then [7].
If (Not (Either [6] or (Not [4].).).), then (Not [7].).
Therefore, Either [6] or (Not [4].)..
|
{0: 'Deductibles save money.', 1: 'Some fleas feed on infect rats.', 2: 'Happiness is our decision to let go of judgments based upon the past.', 3: 'Transgenes allow breeders to incorporate completely novel traits into crop varieties.', 4: 'Most religions permit cremation.', 5: 'Corporations can only act through their individual employees and agents.', 6: 'A battalion is a force.', 7: 'Nymphs go through three instars and a pupa stage before reaching adulthood.'}
| 6 |
5,306 |
['Provided that inequality can threaten social cohesion, we know that the statement, credit cards are a modern form of indentured servitude, does not hold.', 'Provided that smokers are also more likely to experience ectopic pregnancy, we know that the statement, credit cards are a modern form of indentured servitude, does not hold.', 'On the condition that the statement, loose boulders make for rough walking, does not hold, it is definitely the case that shamans proclaim the ability to metamorphose into wolves.', 'Assuming shamans proclaim the ability to metamorphose into wolves, we know that folic acid has no known toxic level.', 'We know that at least one of two things is true: ocelots are felines, or auxins can move very rapidly against concentration gradients in a basipetal direction.', 'When ocelots are felines is true, it follows that if folic acid has no known toxic level, then credit cards are a modern form of indentured servitude.', 'Should it be the case that auxins can move very rapidly against concentration gradients in a basipetal direction, it follows that if folic acid has no known toxic level, then credit cards are a modern form of indentured servitude.', 'There is good reason to believe that either photosynthetic plants use energy or asian elephants are potentially less vulnerable to the ivory trade, as females usually lack tusks.', 'Once we know photosynthetic plants use energy, we also know that either inequality can threaten social cohesion or smokers are also more likely to experience ectopic pregnancy.', 'Assuming asian elephants are potentially less vulnerable to the ivory trade, as females usually lack tusks, we know that either inequality can threaten social cohesion or smokers are also more likely to experience ectopic pregnancy.']
|
Provided that inequality can threaten social cohesion, we know that the statement, credit cards are a modern form of indentured servitude, does not hold. Provided that smokers are also more likely to experience ectopic pregnancy, we know that the statement, credit cards are a modern form of indentured servitude, does not hold. On the condition that the statement, loose boulders make for rough walking, does not hold, it is definitely the case that shamans proclaim the ability to metamorphose into wolves. Assuming shamans proclaim the ability to metamorphose into wolves, we know that folic acid has no known toxic level. We know that at least one of two things is true: ocelots are felines, or auxins can move very rapidly against concentration gradients in a basipetal direction. When ocelots are felines is true, it follows that if folic acid has no known toxic level, then credit cards are a modern form of indentured servitude. Should it be the case that auxins can move very rapidly against concentration gradients in a basipetal direction, it follows that if folic acid has no known toxic level, then credit cards are a modern form of indentured servitude. There is good reason to believe that either photosynthetic plants use energy or asian elephants are potentially less vulnerable to the ivory trade, as females usually lack tusks. Once we know photosynthetic plants use energy, we also know that either inequality can threaten social cohesion or smokers are also more likely to experience ectopic pregnancy. Assuming asian elephants are potentially less vulnerable to the ivory trade, as females usually lack tusks, we know that either inequality can threaten social cohesion or smokers are also more likely to experience ectopic pregnancy.
|
The statement that states loose boulders make for rough walking is right.
|
The statement that 'loose boulders make for rough walking' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [5].
If [5], then [2].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [2], then [1].).
If [9], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not [1].).
If [4], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].).
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
|
{0: 'Loose boulders make for rough walking.', 1: 'Credit cards are a modern form of indentured servitude.', 2: 'Folic acid has no known toxic level.', 3: 'Inequality can threaten social cohesion.', 4: 'Smokers are also more likely to experience ectopic pregnancy.', 5: 'Shamans proclaim the ability to metamorphose into wolves.', 6: 'Photosynthetic plants use energy.', 7: 'Asian elephants are potentially less vulnerable to the ivory trade, as females usually lack tusks.', 8: 'Ocelots are felines.', 9: 'Auxins can move very rapidly against concentration gradients in a basipetal direction.'}
| 6 |
5,706 |
["Once we know the claim that some clouds move in overnight, with winds dying down does not correspond with reality, we also know that the statement 'giant coots have limit ranges' can be considered false.", 'Provided that glands secrete substances, we know that a chondrule is a granule.', 'We know that either either carbon dioxide has any number of biological benefits for plants or humans vary on psychological traits just as they do on physical ones or matter moves through the biosphere differently than the way in which energy moves.', "So long as either carbon dioxide has any number of biological benefits for plants or humans vary on psychological traits just as they do on physical ones, 'the claim that a chondrule is a granule does not reflect reality' is true.", 'Given that matter moves through the biosphere differently than the way in which energy moves, it can be inferred that the claim that a chondrule is a granule does not reflect reality.', "One may reasonably assume that if the statement that 'either glands secrete substances or tides also vary with winds, ocean currents, atmospheric pressure, etc' is incorrect, then either grains can be a significant source of copper or billboards are located in streets.", "On the condition that the statement that 'either glands secrete substances or tides also vary with winds, ocean currents, atmospheric pressure, etc' is incorrect, it is definitely the case that the claim that either grains can be a significant source of copper or billboards are located in streets has no merit.", 'Either either machine isa device or small songbirds are the most frequent victims of illegal trapping on the Mediterranean island or if tides also vary with winds, ocean currents, atmospheric pressure, etc, then if the claim that some clouds move in overnight, with winds dying down does not correspond with reality, then giant coots have limit ranges.', 'The claim that either machine isa device or small songbirds are the most frequent victims of illegal trapping on the Mediterranean island does not correspond with reality.']
|
Once we know the claim that some clouds move in overnight, with winds dying down does not correspond with reality, we also know that the statement 'giant coots have limit ranges' can be considered false. Provided that glands secrete substances, we know that a chondrule is a granule. We know that either either carbon dioxide has any number of biological benefits for plants or humans vary on psychological traits just as they do on physical ones or matter moves through the biosphere differently than the way in which energy moves. So long as either carbon dioxide has any number of biological benefits for plants or humans vary on psychological traits just as they do on physical ones, 'the claim that a chondrule is a granule does not reflect reality' is true. Given that matter moves through the biosphere differently than the way in which energy moves, it can be inferred that the claim that a chondrule is a granule does not reflect reality. One may reasonably assume that if the statement that 'either glands secrete substances or tides also vary with winds, ocean currents, atmospheric pressure, etc' is incorrect, then either grains can be a significant source of copper or billboards are located in streets. On the condition that the statement that 'either glands secrete substances or tides also vary with winds, ocean currents, atmospheric pressure, etc' is incorrect, it is definitely the case that the claim that either grains can be a significant source of copper or billboards are located in streets has no merit. Either either machine isa device or small songbirds are the most frequent victims of illegal trapping on the Mediterranean island or if tides also vary with winds, ocean currents, atmospheric pressure, etc, then if the claim that some clouds move in overnight, with winds dying down does not correspond with reality, then giant coots have limit ranges. The claim that either machine isa device or small songbirds are the most frequent victims of illegal trapping on the Mediterranean island does not correspond with reality.
|
It is a simple truth that some clouds move in overnight, with winds dying down.
|
Some people mistakenly believe that some clouds move in overnight, with winds dying down.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Constructive Dilemma:
Either [3] or [4]. [SC1-3]
If [3], then [2].
If [4], then (If (Not [0].), then [1].). [SC3-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then (Either [10] or [11].).
If (Not (Either [3] or [4].).), then (Not (Either [10] or [11].).).
Therefore, Either [3] or [4]..
[SC3-3]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [4], then (If (Not [0].), then [1].).).
Not (Either [8] or [9].).
Therefore, If [4], then (If (Not [0].), then [1].)..
[SC2-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (Not [2].).
If [7], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Some clouds move in overnight, with winds dying down.', 1: 'Giant coots have limit ranges.', 2: 'A chondrule is a granule.', 3: 'Glands secrete substances.', 4: 'Tides also vary with winds, ocean currents, atmospheric pressure, etc.', 5: 'Carbon dioxide has any number of biological benefits for plants.', 6: 'Humans vary on psychological traits just as they do on physical ones.', 7: 'Matter moves through the biosphere differently than the way in which energy moves.', 8: 'Machine isa device.', 9: 'Small songbirds are the most frequent victims of illegal trapping on the Mediterranean island.', 10: 'Grains can be a significant source of copper.', 11: 'Billboards are located in streets.'}
| 6 |
5,496 |
['The statement that states a spermatid is a gamete is false.', 'Given that some people mistakenly believe that either a spermatid is a gamete or if if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other, then acute mania is characterized by behavioral dyscontrol and psychoses, it can be inferred that hookworms have (part) plasma membranes.', 'On the condition that some people mistakenly believe that either a spermatid is a gamete or if if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other, then acute mania is characterized by behavioral dyscontrol and psychoses, it is definitely the case that the claim that hookworms have (part) plasma membranes has no merit.', 'When it is not true that if the claim that if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other does not reflect reality, then most vitamins help carbohydrates is true, it follows that growth is the second stage of a product life cycle.', 'The statement that states growth is the second stage of a product life cycle is false.', 'When most vitamins help carbohydrates is true, it follows that either most manatees possess incisors or page printers store an entire page in their memory before printing it.', 'Should it be the case that most vitamins help carbohydrates, it follows that the statement, either most manatees possess incisors or page printers store an entire page in their memory before printing it, does not hold.']
|
The statement that states a spermatid is a gamete is false. Given that some people mistakenly believe that either a spermatid is a gamete or if if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other, then acute mania is characterized by behavioral dyscontrol and psychoses, it can be inferred that hookworms have (part) plasma membranes. On the condition that some people mistakenly believe that either a spermatid is a gamete or if if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other, then acute mania is characterized by behavioral dyscontrol and psychoses, it is definitely the case that the claim that hookworms have (part) plasma membranes has no merit. When it is not true that if the claim that if oil is beneficial to our bodies, but very much the opposite to many six-footed animals, then some telephones have a switch that converts it from one to the other does not reflect reality, then most vitamins help carbohydrates is true, it follows that growth is the second stage of a product life cycle. The statement that states growth is the second stage of a product life cycle is false. When most vitamins help carbohydrates is true, it follows that either most manatees possess incisors or page printers store an entire page in their memory before printing it. Should it be the case that most vitamins help carbohydrates, it follows that the statement, either most manatees possess incisors or page printers store an entire page in their memory before printing it, does not hold.
|
It is the case that acute mania is characterized by behavioral dyscontrol and psychoses.
|
It is the case that acute mania is characterized by behavioral dyscontrol and psychoses.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (If [1], then [2].), then [0].). [SC1-2]
Not [3].
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (If (If [1], then [2].), then [0].).).), then [8].
If (Not (Either [3] or (If (If [1], then [2].), then [0].).).), then (Not [8].).
Therefore, Either [3] or (If (If [1], then [2].), then [0].)..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [1], then [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [2].).), then [4].).), then [7].
Not [7].
Therefore, If (Not (If [1], then [2].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (Either [5] or [6].).
If [4], then (Not (Either [5] or [6].).).
Therefore, Not [4]..
|
{0: 'Acute mania is characterized by behavioral dyscontrol and psychoses.', 1: 'Oil is beneficial to our bodies, but very much the opposite to many six-footed animals.', 2: 'Some telephones have a switch that converts it from one to the other.', 3: 'A spermatid is a gamete.', 4: 'Most vitamins help carbohydrates.', 5: 'Most manatees possess incisors.', 6: 'Page printers store an entire page in their memory before printing it.', 7: 'Growth is the second stage of a product life cycle.', 8: 'Hookworms have (part) plasma membranes.'}
| 6 |
5,558 |
["At least one of two things is true: mobile phones are so popular because they can become one's personal secretary, or either alcohol can appear to eliminate the limitations of physical reality or employers are responsible for providing and maintaining safe systems of work in hot conditions.", "Those that suggest mobile phones are so popular because they can become one's personal secretary are wrong.", 'Either one or both of these statements are true: some cores become white dwarfs, or if cats have issues, then macanese cuisine is also a combination of Cantonese styles and flavors and Portuguese dishes.', 'If some cores become white dwarfs, then if alcohol can appear to eliminate the limitations of physical reality, then it is not the case that rights of way are rights.', "Whenever it is true that if cats have issues, then macanese cuisine is also a combination of Cantonese styles and flavors and Portuguese dishes, 'if alcohol can appear to eliminate the limitations of physical reality, then it is not the case that rights of way are rights' is true.", 'The claim that european rabbits have a colour similar to the shades of the ground too has no merit.', 'We know that at least one of two things is true: woodcocks probe the muddy creek banks for earthworms, or either european rabbits have a colour similar to the shades of the ground too or if employers are responsible for providing and maintaining safe systems of work in hot conditions, then it is not the case that rights of way are rights.', 'Should it be the case that if social reproduction occurs because there is continuity in what people do, then many water plants found in the wild are rare and protected by law, it follows that the claim that woodcocks probe the muddy creek banks for earthworms has no merit.', 'Provided that social reproduction occurs because there is continuity in what people do, we know that many water plants found in the wild are rare and protected by law.']
|
At least one of two things is true: mobile phones are so popular because they can become one's personal secretary, or either alcohol can appear to eliminate the limitations of physical reality or employers are responsible for providing and maintaining safe systems of work in hot conditions. Those that suggest mobile phones are so popular because they can become one's personal secretary are wrong. Either one or both of these statements are true: some cores become white dwarfs, or if cats have issues, then macanese cuisine is also a combination of Cantonese styles and flavors and Portuguese dishes. If some cores become white dwarfs, then if alcohol can appear to eliminate the limitations of physical reality, then it is not the case that rights of way are rights. Whenever it is true that if cats have issues, then macanese cuisine is also a combination of Cantonese styles and flavors and Portuguese dishes, 'if alcohol can appear to eliminate the limitations of physical reality, then it is not the case that rights of way are rights' is true. The claim that european rabbits have a colour similar to the shades of the ground too has no merit. We know that at least one of two things is true: woodcocks probe the muddy creek banks for earthworms, or either european rabbits have a colour similar to the shades of the ground too or if employers are responsible for providing and maintaining safe systems of work in hot conditions, then it is not the case that rights of way are rights. Should it be the case that if social reproduction occurs because there is continuity in what people do, then many water plants found in the wild are rare and protected by law, it follows that the claim that woodcocks probe the muddy creek banks for earthworms has no merit. Provided that social reproduction occurs because there is continuity in what people do, we know that many water plants found in the wild are rare and protected by law.
|
It is not the case that rights of way are rights.
|
The claim that rights of way are rights is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].).
Not [3].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [1], then (Not [0].).).
If (If [6], then [7].), then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [2], then (Not [0].).). [SC1-2]
Not [4].
Therefore, If [2], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either [4] or (If [2], then (Not [0].).).).
Not [8]. [SC2-3]
Therefore, Either [4] or (If [2], then (Not [0].).)..
[SC2-3]
Modus Ponens:
If (If [9], then [10].), then (Not [8].).
If [9], then [10].
Therefore, Not [8]..
|
{0: 'Rights of way are rights.', 1: 'Alcohol can appear to eliminate the limitations of physical reality.', 2: 'Employers are responsible for providing and maintaining safe systems of work in hot conditions.', 3: "Mobile phones are so popular because they can become one's personal secretary.", 4: 'European rabbits have a colour similar to the shades of the ground too.', 5: 'Some cores become white dwarfs.', 6: 'Cats have issues.', 7: 'Macanese cuisine is also a combination of Cantonese styles and flavors and Portuguese dishes.', 8: 'Woodcocks probe the muddy creek banks for earthworms.', 9: 'Social reproduction occurs because there is continuity in what people do.', 10: 'Many water plants found in the wild are rare and protected by law.'}
| 6 |
5,784 |
['There is good reason to believe that either archeology is about the discovery and decipherment of the unseen, the unknown, the unrecorded or if beans provide the body with a great source of vegetable protein and fiber, then summer brings extreme heat and winter brings extreme cold.', 'Some people mistakenly believe that archeology is about the discovery and decipherment of the unseen, the unknown, the unrecorded.', 'Should it be the case that wolverines survive for long periods, it follows that the claim that summer brings extreme heat and winter brings extreme cold does not reflect reality.', 'Many people rightly believe that turnover is the relationship between the float and the average monthly volume.', 'It is rational to agree that caffeine has crystal.', 'When caffeine has crystal is true, it follows that monkeys hide in groups.', 'Assuming monkeys hide in groups, we know that if turnover is the relationship between the float and the average monthly volume, then if beans provide the body with a great source of vegetable protein and fiber, then wolverines survive for long periods.']
|
There is good reason to believe that either archeology is about the discovery and decipherment of the unseen, the unknown, the unrecorded or if beans provide the body with a great source of vegetable protein and fiber, then summer brings extreme heat and winter brings extreme cold. Some people mistakenly believe that archeology is about the discovery and decipherment of the unseen, the unknown, the unrecorded. Should it be the case that wolverines survive for long periods, it follows that the claim that summer brings extreme heat and winter brings extreme cold does not reflect reality. Many people rightly believe that turnover is the relationship between the float and the average monthly volume. It is rational to agree that caffeine has crystal. When caffeine has crystal is true, it follows that monkeys hide in groups. Assuming monkeys hide in groups, we know that if turnover is the relationship between the float and the average monthly volume, then if beans provide the body with a great source of vegetable protein and fiber, then wolverines survive for long periods.
|
It is not the case that beans provide the body with a great source of vegetable protein and fiber.
|
It is true that beans provide the body with a great source of vegetable protein and fiber.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].).
Not [3].
Therefore, If [0], then [1]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then (Not [1].).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Ponens:
If [4], then (If [0], then [2].). [SC1-3]
[4]
Therefore, If [0], then [2]..
[SC1-3]
Modus Ponens:
If [5], then (If [4], then (If [0], then [2].).). [SC1-4]
[5]
Therefore, If [4], then (If [0], then [2].)..
[SC1-4]
Hypothetical Syllogism:
If [5], then [6].
If [6], then (If [4], then (If [0], then [2].).).
Therefore, If [5], then (If [4], then (If [0], then [2].).)..
|
{0: 'Beans provide the body with a great source of vegetable protein and fiber.', 1: 'Summer brings extreme heat and winter brings extreme cold.', 2: 'Wolverines survive for long periods.', 3: 'Archeology is about the discovery and decipherment of the unseen, the unknown, the unrecorded.', 4: 'Turnover is the relationship between the float and the average monthly volume.', 5: 'Caffeine has crystal.', 6: 'Monkeys hide in groups.'}
| 6 |
5,239 |
['There is good reason to believe that either blow jobs are fun or driveways have (part) safety isles.', 'When blow jobs are fun is true, it follows that either more pollution is seen as the result of any effort to return balance to the environmental equation or geneticists use the bands to match the pairs.', 'One may reasonably assume that if driveways have (part) safety isles, then either more pollution is seen as the result of any effort to return balance to the environmental equation or geneticists use the bands to match the pairs.', 'Once we know sclerotinia advisories are weather-based warnings of disease onset, we also know that if more pollution is seen as the result of any effort to return balance to the environmental equation, then parity is a method used to check the integrity of data stored in memory.', 'At least one of two things is true: many sea stars eat with their stomach outside their body, or wetlands have many diverse economic and recreational functions.', 'Assuming wetlands have many diverse economic and recreational functions, we know that if geneticists use the bands to match the pairs, then parity is a method used to check the integrity of data stored in memory.', 'It is rational to believe that either catalogs illustrate decorative designs or family groups consist of an adult male, an adult female, and their young.', 'Assuming catalogs illustrate decorative designs, we know that sclerotinia advisories are weather-based warnings of disease onset.', "Whenever it is true that family groups consist of an adult male, an adult female, and their young, 'sclerotinia advisories are weather-based warnings of disease onset' is true.", 'Given that kids have lice, it can be inferred that if many sea stars eat with their stomach outside their body, then if geneticists use the bands to match the pairs, then parity is a method used to check the integrity of data stored in memory.', 'The claim that kids have lice is true.']
|
There is good reason to believe that either blow jobs are fun or driveways have (part) safety isles. When blow jobs are fun is true, it follows that either more pollution is seen as the result of any effort to return balance to the environmental equation or geneticists use the bands to match the pairs. One may reasonably assume that if driveways have (part) safety isles, then either more pollution is seen as the result of any effort to return balance to the environmental equation or geneticists use the bands to match the pairs. Once we know sclerotinia advisories are weather-based warnings of disease onset, we also know that if more pollution is seen as the result of any effort to return balance to the environmental equation, then parity is a method used to check the integrity of data stored in memory. At least one of two things is true: many sea stars eat with their stomach outside their body, or wetlands have many diverse economic and recreational functions. Assuming wetlands have many diverse economic and recreational functions, we know that if geneticists use the bands to match the pairs, then parity is a method used to check the integrity of data stored in memory. It is rational to believe that either catalogs illustrate decorative designs or family groups consist of an adult male, an adult female, and their young. Assuming catalogs illustrate decorative designs, we know that sclerotinia advisories are weather-based warnings of disease onset. Whenever it is true that family groups consist of an adult male, an adult female, and their young, 'sclerotinia advisories are weather-based warnings of disease onset' is true. Given that kids have lice, it can be inferred that if many sea stars eat with their stomach outside their body, then if geneticists use the bands to match the pairs, then parity is a method used to check the integrity of data stored in memory. The claim that kids have lice is true.
|
The statement 'parity is a method used to check the integrity of data stored in memory' can be considered true.
|
Parity is pregnancy.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [1] or [2].).
If [7], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [5], then (If [1], then [0].).
[5] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then [5].
If [10], then [5].
Therefore, [5].
[SC3-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then [0].). [SC2-2]
If [4], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC2-2]
Modus Ponens:
If [8], then (If [3], then (If [2], then [0].).).
[8]
Therefore, If [3], then (If [2], then [0].)..
|
{0: 'Parity is a method used to check the integrity of data stored in memory.', 1: 'More pollution is seen as the result of any effort to return balance to the environmental equation.', 2: 'Geneticists use the bands to match the pairs.', 3: 'Many sea stars eat with their stomach outside their body.', 4: 'Wetlands have many diverse economic and recreational functions.', 5: 'Sclerotinia advisories are weather-based warnings of disease onset.', 6: 'Blow jobs are fun.', 7: 'Driveways have (part) safety isles.', 8: 'Kids have lice.', 9: 'Catalogs illustrate decorative designs.', 10: 'Family groups consist of an adult male, an adult female, and their young.'}
| 6 |
5,578 |
['It is fair to say that livestock readily graze halogeton.', "Whenever it is true that severe coastal erosion occurs over time, 'if livestock readily graze halogeton, then it is not true that human beings fall prey to all sorts of addictions all the time' is true.", 'It is rational to believe that either if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes or planes are located in taxiways.', 'On the condition that those that suggest if if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes, then severe coastal erosion occurs over time are wrong, it is definitely the case that most exchanges occur in blood vessels.', 'One may reasonably assume that if those that suggest if if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes, then severe coastal erosion occurs over time are wrong, then the statement that states most exchanges occur in blood vessels is false.', 'Given that planes are located in taxiways, it can be inferred that if a gerontology is medicine, then mailers are envelopes.', 'If if a gerontology is medicine, then mailers are envelopes, then some bats avoid people.', 'On the condition that some bats avoid people, it is definitely the case that severe coastal erosion occurs over time.']
|
It is fair to say that livestock readily graze halogeton. Whenever it is true that severe coastal erosion occurs over time, 'if livestock readily graze halogeton, then it is not true that human beings fall prey to all sorts of addictions all the time' is true. It is rational to believe that either if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes or planes are located in taxiways. On the condition that those that suggest if if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes, then severe coastal erosion occurs over time are wrong, it is definitely the case that most exchanges occur in blood vessels. One may reasonably assume that if those that suggest if if electrical signals seem to be involved, just as they are with nerve cells, then beeches have (part) cell membranes, then severe coastal erosion occurs over time are wrong, then the statement that states most exchanges occur in blood vessels is false. Given that planes are located in taxiways, it can be inferred that if a gerontology is medicine, then mailers are envelopes. If if a gerontology is medicine, then mailers are envelopes, then some bats avoid people. On the condition that some bats avoid people, it is definitely the case that severe coastal erosion occurs over time.
|
It is not true that human beings fall prey to all sorts of addictions all the time.
|
We know that the claim that human beings have bodies, inexorably linked to the natural world is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).).
[2] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then [2]. [SC2-3]
If [5], then [2]. [SC3-3]
Therefore, [2].
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then [2].).), then [6].
If (Not (If (If [3], then [4].), then [2].).), then (Not [6].).
Therefore, If (If [3], then [4].), then [2]..
[SC3-3]
Hypothetical Syllogism:
If [5], then (If [7], then [8].).
If (If [7], then [8].), then [2]. [SC2-4]
Therefore, If [5], then [2]..
[SC2-4]
Hypothetical Syllogism:
If (If [7], then [8].), then [9].
If [9], then [2].
Therefore, If (If [7], then [8].), then [2]..
|
{0: 'Human beings fall prey to all sorts of addictions all the time.', 1: 'Livestock readily graze halogeton.', 2: 'Severe coastal erosion occurs over time.', 3: 'Electrical signals seem to be involved, just as they are with nerve cells.', 4: 'Beeches have (part) cell membranes.', 5: 'Planes are located in taxiways.', 6: 'Most exchanges occur in blood vessels.', 7: 'A gerontology is medicine.', 8: 'Mailers are envelopes.', 9: 'Some bats avoid people.'}
| 6 |
5,055 |
['Given that it is not true that either either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law or other desert birds have glands, it can be inferred that individual red clover plants survive years.', 'On the condition that it is not true that either either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law or other desert birds have glands, it is definitely the case that those that suggest individual red clover plants survive years are wrong.', 'The statement, if a bladder stone is a calculus, then thought is an activity which inheres in the soul, does not hold.', 'If some people mistakenly believe that if other desert birds have glands, then we know that the claim that desert plants have broad leaves is false, then it is not true that either white light contains a mix of all wavelengths in the visible region or cougar habitats contain elements.', 'Provided that the claim that either if a bladder stone is a calculus, then thought is an activity which inheres in the soul or if either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law, then we know that the claim that desert plants have broad leaves is false does not reflect reality, we know that some animals eat purple saxifrages.', "The statement 'some animals eat purple saxifrages' can be considered false.", 'One may reasonably assume that if it is not true that if some people mistakenly believe that if other desert birds have glands, then we know that the claim that desert plants have broad leaves is false, then either white light contains a mix of all wavelengths in the visible region or cougar habitats contain elements, then many people are familiar with the daily routine of washing, drying, and styling their hair.', 'It is not true that many people are familiar with the daily routine of washing, drying, and styling their hair.']
|
Given that it is not true that either either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law or other desert birds have glands, it can be inferred that individual red clover plants survive years. On the condition that it is not true that either either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law or other desert birds have glands, it is definitely the case that those that suggest individual red clover plants survive years are wrong. The statement, if a bladder stone is a calculus, then thought is an activity which inheres in the soul, does not hold. If some people mistakenly believe that if other desert birds have glands, then we know that the claim that desert plants have broad leaves is false, then it is not true that either white light contains a mix of all wavelengths in the visible region or cougar habitats contain elements. Provided that the claim that either if a bladder stone is a calculus, then thought is an activity which inheres in the soul or if either radiant tubing comes in a variety of materials or autonomy is derived from the Greek meaning self-law, then we know that the claim that desert plants have broad leaves is false does not reflect reality, we know that some animals eat purple saxifrages. The statement 'some animals eat purple saxifrages' can be considered false. One may reasonably assume that if it is not true that if some people mistakenly believe that if other desert birds have glands, then we know that the claim that desert plants have broad leaves is false, then either white light contains a mix of all wavelengths in the visible region or cougar habitats contain elements, then many people are familiar with the daily routine of washing, drying, and styling their hair. It is not true that many people are familiar with the daily routine of washing, drying, and styling their hair.
|
We know that the claim that desert plants have broad leaves is false.
|
Desert plants have broad leaves.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [4].
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Either [1] or [2].), then (Not [0].).). [SC1-2]
Not (If [7], then [8].).
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [7], then [8].) or (If (Either [1] or [2].), then (Not [0].).).).), then [9].
Not [9].
Therefore, Either (If [7], then [8].) or (If (Either [1] or [2].), then (Not [0].).)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [0].).).), then (Either [5] or [6].). [SC1-2]
If (Not (If [3], then (Not [0].).).), then (Not (Either [5] or [6].).).
Therefore, If [3], then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [3], then (Not [0].).).), then (Either [5] or [6].).).), then [10].
Not [10].
Therefore, If (Not (If [3], then (Not [0].).).), then (Either [5] or [6].)..
|
{0: 'Desert plants have broad leaves.', 1: 'Radiant tubing comes in a variety of materials.', 2: 'Autonomy is derived from the Greek meaning self-law.', 3: 'Other desert birds have glands.', 4: 'Individual red clover plants survive years.', 5: 'White light contains a mix of all wavelengths in the visible region.', 6: 'Cougar habitats contain elements.', 7: 'A bladder stone is a calculus.', 8: 'Thought is an activity which inheres in the soul.', 9: 'Some animals eat purple saxifrages.', 10: 'Many people are familiar with the daily routine of washing, drying, and styling their hair.'}
| 6 |
5,906 |
['The claim that either disorder affects functions or leg cramps are common during the second trimester is false.', 'Once we know the claim that if ingestion produces effects ranging from mild irritation to vomiting, then it is a common misconception that most species bear their flowers in panicles does not reflect reality, we also know that some people mistakenly believe that raw meats tend to be acidifying, while veggies tend to be alkalinizing.', "Whenever it is true that the statement that 'either either disorder affects functions or leg cramps are common during the second trimester or if ingestion produces effects ranging from mild irritation to vomiting, then most species bear their flowers in panicles' is incorrect, 'bounces are error that are returned by various mail servers when addresses or hosts are unreachable' is true.", 'The claim that bounces are error that are returned by various mail servers when addresses or hosts are unreachable does not reflect reality.', 'Provided that a direct mailer is a distributor, we know that if the claim that if ingestion produces effects ranging from mild irritation to vomiting, then it is a common misconception that most species bear their flowers in panicles does not reflect reality, then raw meats tend to be acidifying, while veggies tend to be alkalinizing.', 'It is a fact that either government makes effort or a direct mailer is a distributor.', 'The claim that government makes effort does not correspond with reality.']
|
The claim that either disorder affects functions or leg cramps are common during the second trimester is false. Once we know the claim that if ingestion produces effects ranging from mild irritation to vomiting, then it is a common misconception that most species bear their flowers in panicles does not reflect reality, we also know that some people mistakenly believe that raw meats tend to be acidifying, while veggies tend to be alkalinizing. Whenever it is true that the statement that 'either either disorder affects functions or leg cramps are common during the second trimester or if ingestion produces effects ranging from mild irritation to vomiting, then most species bear their flowers in panicles' is incorrect, 'bounces are error that are returned by various mail servers when addresses or hosts are unreachable' is true. The claim that bounces are error that are returned by various mail servers when addresses or hosts are unreachable does not reflect reality. Provided that a direct mailer is a distributor, we know that if the claim that if ingestion produces effects ranging from mild irritation to vomiting, then it is a common misconception that most species bear their flowers in panicles does not reflect reality, then raw meats tend to be acidifying, while veggies tend to be alkalinizing. It is a fact that either government makes effort or a direct mailer is a distributor. The claim that government makes effort does not correspond with reality.
|
Those that suggest ingestion produces effects ranging from mild irritation to vomiting are wrong.
|
The notion that 'ingestion results in ingestion' is untrue.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If [0], then [1].). [SC1-2]
Not (Either [2] or [3].).
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].
Not [5].
Therefore, Either (Either [2] or [3].) or (If [0], then [1].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [4]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [4].).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If [0], then (Not [1].).).), then [4].).
[6] [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or [6].
Not [7].
Therefore, [6].
|
{0: 'Ingestion produces effects ranging from mild irritation to vomiting.', 1: 'Most species bear their flowers in panicles.', 2: 'Disorder affects functions.', 3: 'Leg cramps are common during the second trimester.', 4: 'Raw meats tend to be acidifying, while veggies tend to be alkalinizing.', 5: 'Bounces are error that are returned by various mail servers when addresses or hosts are unreachable.', 6: 'A direct mailer is a distributor.', 7: 'Government makes effort.'}
| 6 |
5,175 |
["When the statement that 'either if irises have pigment, then factors impact proper breathe techniques or discourse ethics are procedural rules for the public sphere' is incorrect is true, it follows that physicians apply appropriate therapy.", "Whenever it is true that the statement that 'either if irises have pigment, then factors impact proper breathe techniques or discourse ethics are procedural rules for the public sphere' is incorrect, 'we know that the claim that physicians apply appropriate therapy is false' is true.", 'There is good reason to believe that either all human beings possess, by nature, three fundamental human rights or if most small intestines digest meat, then physicians suggest solutions.', 'When all human beings possess, by nature, three fundamental human rights is true, it follows that if discourse ethics are procedural rules for the public sphere, then a fairground is a tract.', 'When if most small intestines digest meat, then physicians suggest solutions is true, it follows that if discourse ethics are procedural rules for the public sphere, then a fairground is a tract.', "Whenever it is true that the statement that 'either sterols have a backbone of four carbon rings, but no fatty acids or if if irises have pigment, then factors impact proper breathe techniques, then a fairground is a tract' is incorrect, 'if slothfulness pervades in almost every aspect to today's society, then viruses have the ability to infect more than one species of animal' is true.", "Provided that the statement that 'either sterols have a backbone of four carbon rings, but no fatty acids or if if irises have pigment, then factors impact proper breathe techniques, then a fairground is a tract' is incorrect, we know that those that suggest if slothfulness pervades in almost every aspect to today's society, then viruses have the ability to infect more than one species of animal are wrong.", 'If sterols have a backbone of four carbon rings, but no fatty acids, then juncos have (part) air sacs.', "The statement 'juncos have (part) air sacs' can be considered false."]
|
When the statement that 'either if irises have pigment, then factors impact proper breathe techniques or discourse ethics are procedural rules for the public sphere' is incorrect is true, it follows that physicians apply appropriate therapy. Whenever it is true that the statement that 'either if irises have pigment, then factors impact proper breathe techniques or discourse ethics are procedural rules for the public sphere' is incorrect, 'we know that the claim that physicians apply appropriate therapy is false' is true. There is good reason to believe that either all human beings possess, by nature, three fundamental human rights or if most small intestines digest meat, then physicians suggest solutions. When all human beings possess, by nature, three fundamental human rights is true, it follows that if discourse ethics are procedural rules for the public sphere, then a fairground is a tract. When if most small intestines digest meat, then physicians suggest solutions is true, it follows that if discourse ethics are procedural rules for the public sphere, then a fairground is a tract. Whenever it is true that the statement that 'either sterols have a backbone of four carbon rings, but no fatty acids or if if irises have pigment, then factors impact proper breathe techniques, then a fairground is a tract' is incorrect, 'if slothfulness pervades in almost every aspect to today's society, then viruses have the ability to infect more than one species of animal' is true. Provided that the statement that 'either sterols have a backbone of four carbon rings, but no fatty acids or if if irises have pigment, then factors impact proper breathe techniques, then a fairground is a tract' is incorrect, we know that those that suggest if slothfulness pervades in almost every aspect to today's society, then viruses have the ability to infect more than one species of animal are wrong. If sterols have a backbone of four carbon rings, but no fatty acids, then juncos have (part) air sacs. The statement 'juncos have (part) air sacs' can be considered false.
|
It is a simple truth that a fairground is a tract.
|
The statement that 'a fairground is a tract' is incorrect.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [3].).), then [8].
If (Not (Either (If [1], then [2].) or [3].).), then (Not [8].).
Therefore, Either (If [1], then [2].) or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [7] or (If (If [1], then [2].), then [0].). [SC1-2]
Not [7]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [7] or (If (If [1], then [2].), then [0].).).), then (If [10], then [11].).
If (Not (Either [7] or (If (If [1], then [2].), then [0].).).), then (Not (If [10], then [11].).).
Therefore, Either [7] or (If (If [1], then [2].), then [0].)..
[SC2-2]
Modus Tonens:
If [7], then [9].
Not [9].
Therefore, Not [7]..
[SC3-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (If [3], then [0].).
If (If [5], then [6].), then (If [3], then [0].).
Therefore, If [3], then [0]..
|
{0: 'A fairground is a tract.', 1: 'Irises have pigment.', 2: 'Factors impact proper breathe techniques.', 3: 'Discourse ethics are procedural rules for the public sphere.', 4: 'All human beings possess, by nature, three fundamental human rights .', 5: 'Most small intestines digest meat.', 6: 'Physicians suggest solutions.', 7: 'Sterols have a backbone of four carbon rings, but no fatty acids.', 8: 'Physicians apply appropriate therapy.', 9: 'Juncos have (part) air sacs.', 10: "Slothfulness pervades in almost every aspect to today's society.", 11: 'Viruses have the ability to infect more than one species of animal.'}
| 6 |
5,014 |
['Once we know invasive plants exploit bare soil and unused niches, we also know that either most species are perennial bunch growers, but some form sods or most radios use technology.', "The statement 'invasive plants exploit bare soil and unused niches' can be considered true.", 'It is rational to believe that either humans follow routes or if most species are perennial bunch growers, but some form sods, then either a happenstance is an accident or mandrills have (part) sterna.', 'It is not true that humans follow routes.', 'On the condition that either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet, it is definitely the case that either a happenstance is an accident or mandrills have (part) sterna.', 'Provided that the claim that if most radios use technology, then either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet is false, we know that a malpractice is an activity.', 'We know that at least one of two things is true: either software architecture forms the backbone for building successful software-intensive systems or behavior involves use, or if the claim that if most radios use technology, then either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet is false, then it is not the case that a malpractice is an activity.', 'The claim that either software architecture forms the backbone for building successful software-intensive systems or behavior involves use does not reflect reality.']
|
Once we know invasive plants exploit bare soil and unused niches, we also know that either most species are perennial bunch growers, but some form sods or most radios use technology. The statement 'invasive plants exploit bare soil and unused niches' can be considered true. It is rational to believe that either humans follow routes or if most species are perennial bunch growers, but some form sods, then either a happenstance is an accident or mandrills have (part) sterna. It is not true that humans follow routes. On the condition that either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet, it is definitely the case that either a happenstance is an accident or mandrills have (part) sterna. Provided that the claim that if most radios use technology, then either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet is false, we know that a malpractice is an activity. We know that at least one of two things is true: either software architecture forms the backbone for building successful software-intensive systems or behavior involves use, or if the claim that if most radios use technology, then either darker colors work with darker clothes and frosts, glosses and mattes all look current or some young alligators reach feet is false, then it is not the case that a malpractice is an activity. The claim that either software architecture forms the backbone for building successful software-intensive systems or behavior involves use does not reflect reality.
|
Either one or both of these statements are true: a happenstance is an accident, or mandrills have (part) sterna.
|
Either one or both of these statements are true: a happenstance is an accident, or mandrills have (part) sterna.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [7], then (Either [2] or [3].).
[7]
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If [2], then (Either [0] or [1].).).
Not [6].
Therefore, If [2], then (Either [0] or [1].)..
[SC3-1]
Hypothetical Syllogism:
If [3], then (Either [4] or [5].). [SC1-2]
If (Either [4] or [5].), then (Either [0] or [1].).
Therefore, If [3], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [4] or [5].).).), then [8].
If (Not (If [3], then (Either [4] or [5].).).), then (Not [8].). [SC2-3]
Therefore, If [3], then (Either [4] or [5].)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If (Not (If [3], then (Either [4] or [5].).).), then (Not [8].).).
Not (Either [9] or [10].).
Therefore, If (Not (If [3], then (Either [4] or [5].).).), then (Not [8].)..
|
{0: 'A happenstance is an accident.', 1: 'Mandrills have (part) sterna.', 2: 'Most species are perennial bunch growers, but some form sods.', 3: 'Most radios use technology.', 4: 'Darker colors work with darker clothes and frosts, glosses and mattes all look current.', 5: 'Some young alligators reach feet.', 6: 'Humans follow routes.', 7: 'Invasive plants exploit bare soil and unused niches.', 8: 'A malpractice is an activity.', 9: 'Software architecture forms the backbone for building successful software-intensive systems.', 10: 'Behavior involves use.'}
| 6 |
5,077 |
['The claim that most squirrels have contact has no merit.', 'Should it be the case that the statement, if some medical procedures involve radiation, then most squirrels have contact, does not hold, it follows that some secretion enters organs.', 'Given that some secretion enters organs, it can be inferred that some doctors recommend ginger for motion sickness since it can soothe without any side effects.', 'On the condition that skin has shades, it is definitely the case that if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong.', 'Once we know it is not the case that either skin has shades or lint build up is a fire hazard as well, we also know that either most behavior affects plant reproduction or packet switching allows many logical channels to exist simultaneously on a single physical channel.', 'Provided that it is not the case that either skin has shades or lint build up is a fire hazard as well, we know that the claim that either most behavior affects plant reproduction or packet switching allows many logical channels to exist simultaneously on a single physical channel does not reflect reality.', "So long as the claim that if lint build up is a fire hazard as well, then if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong does not correspond with reality, 'fibroids can range in size from very tiny to the size of a watermelon or larger' is true.", "Assuming the claim that if lint build up is a fire hazard as well, then if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong does not correspond with reality, we know that the notion that 'fibroids can range in size from very tiny to the size of a watermelon or larger' is untrue."]
|
The claim that most squirrels have contact has no merit. Should it be the case that the statement, if some medical procedures involve radiation, then most squirrels have contact, does not hold, it follows that some secretion enters organs. Given that some secretion enters organs, it can be inferred that some doctors recommend ginger for motion sickness since it can soothe without any side effects. On the condition that skin has shades, it is definitely the case that if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong. Once we know it is not the case that either skin has shades or lint build up is a fire hazard as well, we also know that either most behavior affects plant reproduction or packet switching allows many logical channels to exist simultaneously on a single physical channel. Provided that it is not the case that either skin has shades or lint build up is a fire hazard as well, we know that the claim that either most behavior affects plant reproduction or packet switching allows many logical channels to exist simultaneously on a single physical channel does not reflect reality. So long as the claim that if lint build up is a fire hazard as well, then if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong does not correspond with reality, 'fibroids can range in size from very tiny to the size of a watermelon or larger' is true. Assuming the claim that if lint build up is a fire hazard as well, then if some secretion enters organs, then those that suggest some doctors recommend ginger for motion sickness since it can soothe without any side effects are wrong does not correspond with reality, we know that the notion that 'fibroids can range in size from very tiny to the size of a watermelon or larger' is untrue.
|
We know that the claim that some medical procedures involve radiation is false.
|
It is not true that medical procedures intended to restore health can also diminish independence and quality of life.
|
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].
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then (If [2], then (Not [3].).).
If [5], then (If [2], then (Not [3].).). [SC3-4]
Therefore, If [2], then (Not [3].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (Either [7] or [8].).
If (Not (Either [4] or [5].).), then (Not (Either [7] or [8].).).
Therefore, Either [4] or [5]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [5], then (If [2], then (Not [3].).).).), then [6].
If (Not (If [5], then (If [2], then (Not [3].).).).), then (Not [6].).
Therefore, If [5], then (If [2], then (Not [3].).)..
|
{0: 'Some medical procedures involve radiation.', 1: 'Most squirrels have contact.', 2: 'Some secretion enters organs.', 3: 'Some doctors recommend ginger for motion sickness since it can soothe without any side effects.', 4: 'Skin has shades.', 5: 'Lint build up is a fire hazard as well.', 6: 'Fibroids can range in size from very tiny to the size of a watermelon or larger.', 7: 'Most behavior affects plant reproduction.', 8: 'Packet switching allows many logical channels to exist simultaneously on a single physical channel.'}
| 6 |
5,031 |
["The statement that 'health care is a local phenomenon' is incorrect.", 'Should it be the case that the claim that if proficiency is defined as a reading knowledge of a foreign language, then if the claim that a sourpuss is a person does not correspond with reality, then health care is a local phenomenon does not reflect reality, it follows that information security is a complex, dynamic and multi-dimensional realm.', "If the claim that if proficiency is defined as a reading knowledge of a foreign language, then if the claim that a sourpuss is a person does not correspond with reality, then health care is a local phenomenon does not reflect reality, then the notion that 'information security is a complex, dynamic and multi-dimensional realm' is untrue.", "So long as the statement that 'proficiency is defined as a reading knowledge of a foreign language' is incorrect, 'philologists are humanists' is true.", "When the claim that if the statement that 'proficiency is defined as a reading knowledge of a foreign language' is incorrect, then the statement that 'philologists are humanists' is incorrect does not correspond with reality is true, it follows that ants are one of the most numerous and industrious insects on the planet.", 'Assuming ants are one of the most numerous and industrious insects on the planet, we know that metals includes iron and steel, ferrous and nonferrous metals.', 'Once we know ants are one of the most numerous and industrious insects on the planet, we also know that the claim that metals includes iron and steel, ferrous and nonferrous metals does not reflect reality.']
|
The statement that 'health care is a local phenomenon' is incorrect. Should it be the case that the claim that if proficiency is defined as a reading knowledge of a foreign language, then if the claim that a sourpuss is a person does not correspond with reality, then health care is a local phenomenon does not reflect reality, it follows that information security is a complex, dynamic and multi-dimensional realm. If the claim that if proficiency is defined as a reading knowledge of a foreign language, then if the claim that a sourpuss is a person does not correspond with reality, then health care is a local phenomenon does not reflect reality, then the notion that 'information security is a complex, dynamic and multi-dimensional realm' is untrue. So long as the statement that 'proficiency is defined as a reading knowledge of a foreign language' is incorrect, 'philologists are humanists' is true. When the claim that if the statement that 'proficiency is defined as a reading knowledge of a foreign language' is incorrect, then the statement that 'philologists are humanists' is incorrect does not correspond with reality is true, it follows that ants are one of the most numerous and industrious insects on the planet. Assuming ants are one of the most numerous and industrious insects on the planet, we know that metals includes iron and steel, ferrous and nonferrous metals. Once we know ants are one of the most numerous and industrious insects on the planet, we also know that the claim that metals includes iron and steel, ferrous and nonferrous metals does not reflect reality.
|
The idea that a sourpuss is a person is true.
|
Sourpusses die young and are constipated.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [4].
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [4].).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [3].
If (Not [2].), then (Not [3].). [SC2-3]
Therefore, [2].
[SC2-3]
Modus Tonens:
If (Not (If (Not [2].), then (Not [3].).).), then [5].
Not [5]. [SC2-4]
Therefore, If (Not [2].), then (Not [3].)..
[SC2-4]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
|
{0: 'A sourpuss is a person.', 1: 'Health care is a local phenomenon.', 2: 'Proficiency is defined as a reading knowledge of a foreign language.', 3: 'Philologists are humanists.', 4: 'Information security is a complex, dynamic and multi-dimensional realm.', 5: 'Ants are one of the most numerous and industrious insects on the planet.', 6: 'Metals includes iron and steel, ferrous and nonferrous metals.'}
| 6 |
5,481 |
['It is rational to believe that either pollinators have (part) cells or either homeless people are lesser beings, even their woman don t know how to act or either cells frequently contain brown pigments which are probably tannins or natural immunity is initiated and expanded by meningococcal colonization of the nasopharynx.', 'The claim that pollinators have (part) cells does not reflect reality.', 'It is true that an industrial plant is a complex.', 'Should it be the case that self esteem is the foundation for success in school and success in life, it follows that pioneers have (part) sections.', 'Either one or both of these statements are true: either most infants have heads or twins make trips, or if an industrial plant is a complex, then if homeless people are lesser beings, even their woman don t know how to act, then numbers translate into power.', 'We know that the claim that either most infants have heads or twins make trips is false.', 'Provided that energy is stored in the bonds of molecules, we know that if if self esteem is the foundation for success in school and success in life, then pioneers have (part) sections, then if either cells frequently contain brown pigments which are probably tannins or natural immunity is initiated and expanded by meningococcal colonization of the nasopharynx, then numbers translate into power.', 'The claim that energy is stored in the bonds of molecules is true.']
|
It is rational to believe that either pollinators have (part) cells or either homeless people are lesser beings, even their woman don t know how to act or either cells frequently contain brown pigments which are probably tannins or natural immunity is initiated and expanded by meningococcal colonization of the nasopharynx. The claim that pollinators have (part) cells does not reflect reality. It is true that an industrial plant is a complex. Should it be the case that self esteem is the foundation for success in school and success in life, it follows that pioneers have (part) sections. Either one or both of these statements are true: either most infants have heads or twins make trips, or if an industrial plant is a complex, then if homeless people are lesser beings, even their woman don t know how to act, then numbers translate into power. We know that the claim that either most infants have heads or twins make trips is false. Provided that energy is stored in the bonds of molecules, we know that if if self esteem is the foundation for success in school and success in life, then pioneers have (part) sections, then if either cells frequently contain brown pigments which are probably tannins or natural immunity is initiated and expanded by meningococcal colonization of the nasopharynx, then numbers translate into power. The claim that energy is stored in the bonds of molecules is true.
|
It is fair to say that numbers translate into power.
|
It is a common misconception that numbers translate into power.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (Either [2] or [3].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or (Either [2] or [3].).).
Not [4].
Therefore, Either [1] or (Either [2] or [3].)..
[SC2-1]
Modus Ponens:
If [5], then (If [1], then [0].). [SC1-2]
[5]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [5], then (If [1], then [0].).).
Not (Either [8] or [9].).
Therefore, If [5], then (If [1], then [0].)..
[SC3-1]
Modus Ponens:
If (If [6], then [7].), then (If (Either [2] or [3].), then [0].). [SC1-2]
If [6], then [7].
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Modus Ponens:
If [10], then (If (If [6], then [7].), then (If (Either [2] or [3].), then [0].).).
[10]
Therefore, If (If [6], then [7].), then (If (Either [2] or [3].), then [0].)..
|
{0: 'Numbers translate into power.', 1: 'Homeless people are lesser beings, even their woman don t know how to act.', 2: 'Cells frequently contain brown pigments which are probably tannins .', 3: 'Natural immunity is initiated and expanded by meningococcal colonization of the nasopharynx.', 4: 'Pollinators have (part) cells.', 5: 'An industrial plant is a complex.', 6: 'Self esteem is the foundation for success in school and success in life.', 7: 'Pioneers have (part) sections.', 8: 'Most infants have heads.', 9: 'Twins make trips.', 10: 'Energy is stored in the bonds of molecules.'}
| 6 |
5,310 |
['At least one of two things is true: physical activity plays a key role in disease prevention, or gravity can also obscure forces that are ever-present but comparatively weak.', "So long as gravity can also obscure forces that are ever-present but comparatively weak, 'if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri' is true.", 'Given that most bears possess habitats, it can be inferred that magnetic forces tunnel energy as mechanical rotation.', "Once we know the claim that if physical activity plays a key role in disease prevention, then if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri does not correspond with reality, we also know that the statement 'either all epilepsy surgery involves the brain or vasectomies are contraception' can be considered false.", "When the statement that 'most bears possess habitats' is incorrect is true, it follows that walls are a natural part of human life.", "Should it be the case that the statement that 'most bears possess habitats' is incorrect, it follows that some people mistakenly believe that walls are a natural part of human life.", 'When the claim that if physical activity plays a key role in disease prevention, then if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri does not correspond with reality is true, it follows that either small populations are fragile because of chance events, or stochasticity or crossbows use small bolts as ammunition.', 'Provided that either small populations are fragile because of chance events, or stochasticity or crossbows use small bolts as ammunition, we know that either all epilepsy surgery involves the brain or vasectomies are contraception.']
|
At least one of two things is true: physical activity plays a key role in disease prevention, or gravity can also obscure forces that are ever-present but comparatively weak. So long as gravity can also obscure forces that are ever-present but comparatively weak, 'if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri' is true. Given that most bears possess habitats, it can be inferred that magnetic forces tunnel energy as mechanical rotation. Once we know the claim that if physical activity plays a key role in disease prevention, then if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri does not correspond with reality, we also know that the statement 'either all epilepsy surgery involves the brain or vasectomies are contraception' can be considered false. When the statement that 'most bears possess habitats' is incorrect is true, it follows that walls are a natural part of human life. Should it be the case that the statement that 'most bears possess habitats' is incorrect, it follows that some people mistakenly believe that walls are a natural part of human life. When the claim that if physical activity plays a key role in disease prevention, then if magnetic forces tunnel energy as mechanical rotation, then arthritis is the number one debilitating disease in Missouri does not correspond with reality is true, it follows that either small populations are fragile because of chance events, or stochasticity or crossbows use small bolts as ammunition. Provided that either small populations are fragile because of chance events, or stochasticity or crossbows use small bolts as ammunition, we know that either all epilepsy surgery involves the brain or vasectomies are contraception.
|
The claim that arthritis is the number one debilitating disease in Missouri is true.
|
We know that the claim that arthritis is the number one debilitating disease in Missouri is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [0].). [SC2-2]
If [4], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [1], then [0].).).), then (Either [5] or [6].). [SC1-3]
If (Not (If [3], then (If [1], then [0].).).), then (Not (Either [5] or [6].).).
Therefore, If [3], then (If [1], then [0].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [3], then (If [1], then [0].).).), then (Either [8] or [9].).
If (Either [8] or [9].), then (Either [5] or [6].).
Therefore, If (Not (If [3], then (If [1], then [0].).).), then (Either [5] or [6].)..
[SC2-1]
Modus Ponens:
If [2], then [1].
[2] [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [7].
If (Not [2].), then (Not [7].).
Therefore, [2].
|
{0: 'Arthritis is the number one debilitating disease in Missouri.', 1: 'Magnetic forces tunnel energy as mechanical rotation.', 2: 'Most bears possess habitats.', 3: 'Physical activity plays a key role in disease prevention.', 4: 'Gravity can also obscure forces that are ever-present but comparatively weak.', 5: 'All epilepsy surgery involves the brain.', 6: 'Vasectomies are contraception.', 7: 'Walls are a natural part of human life.', 8: 'Small populations are fragile because of chance events, or stochasticity.', 9: 'Crossbows use small bolts as ammunition.'}
| 6 |
5,311 |
['Assuming pest control is forest protection, we know that if honey bees fail to update their solar ephemerides after a displacement, then earth has cores.', 'Provided that if most nephroblastomas are solitary and well-circumscribed, then neutrons behave in the same way, and are damaging at all energy levels, we know that if honey bees fail to update their solar ephemerides after a displacement, then earth has cores.', 'We know that either bull ants have vision or if duck typing is similar to, but distinct from structural typing , then either pest control is forest protection or if most nephroblastomas are solitary and well-circumscribed, then neutrons behave in the same way, and are damaging at all energy levels.', "The statement 'tapeworms occur in guts' can be considered false.", "So long as a cottonwood is a lime tree, 'the statement, bull ants have vision, does not hold' is true.", 'The claim that a cottonwood is a lime tree holds true.', 'If it is not the case that duck typing is similar to, but distinct from structural typing , then food contains dietary nitrate.', 'One may reasonably assume that if food contains dietary nitrate, then tapeworms occur in guts.']
|
Assuming pest control is forest protection, we know that if honey bees fail to update their solar ephemerides after a displacement, then earth has cores. Provided that if most nephroblastomas are solitary and well-circumscribed, then neutrons behave in the same way, and are damaging at all energy levels, we know that if honey bees fail to update their solar ephemerides after a displacement, then earth has cores. We know that either bull ants have vision or if duck typing is similar to, but distinct from structural typing , then either pest control is forest protection or if most nephroblastomas are solitary and well-circumscribed, then neutrons behave in the same way, and are damaging at all energy levels. The statement 'tapeworms occur in guts' can be considered false. So long as a cottonwood is a lime tree, 'the statement, bull ants have vision, does not hold' is true. The claim that a cottonwood is a lime tree holds true. If it is not the case that duck typing is similar to, but distinct from structural typing , then food contains dietary nitrate. One may reasonably assume that if food contains dietary nitrate, then tapeworms occur in guts.
|
Once we know honey bees fail to update their solar ephemerides after a displacement, we also know that earth has cores.
|
The statement that states if honey bees fail to update their solar ephemerides after a displacement, then earth has cores is false.
|
FALSE
|
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]
Modus Ponens:
If [5], then (Either [2] or (If [3], then [4].).). [SC1-2]
[5] [SC2-2]
Therefore, Either [2] or (If [3], then [4].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [5], then (Either [2] or (If [3], then [4].).).).
Not [6]. [SC2-3]
Therefore, If [5], then (Either [2] or (If [3], then [4].).)..
[SC2-3]
Modus Ponens:
If [9], then (Not [6].).
[9]
Therefore, Not [6]..
[SC2-2]
Modus Tonens:
If (Not [5].), then [7]. [SC1-3]
Not [7].
Therefore, [5].
[SC1-3]
Hypothetical Syllogism:
If (Not [5].), then [8].
If [8], then [7].
Therefore, If (Not [5].), then [7]..
|
{0: 'Honey bees fail to update their solar ephemerides after a displacement.', 1: 'Earth has cores.', 2: 'Pest control is forest protection.', 3: 'Most nephroblastomas are solitary and well-circumscribed.', 4: 'Neutrons behave in the same way, and are damaging at all energy levels.', 5: 'Duck typing is similar to, but distinct from structural typing .', 6: 'Bull ants have vision.', 7: 'Tapeworms occur in guts.', 8: 'Food contains dietary nitrate.', 9: 'A cottonwood is a lime tree.'}
| 6 |
5,883 |
['At least one of two things is true: tadpoles eat algae and other plants that grow in their aquatic environment , or if environments influence reaction, then american men have a reputation for being faithful, family oriented and respectful of women.', "Either one or both of these statements are true: if weather forecasters use radar to locate and track approaching storms, then tall parents tend to ultimately have tall children and vice-versa, or the statement that 'american men have a reputation for being faithful, family oriented and respectful of women' is incorrect.", 'The claim that if weather forecasters use radar to locate and track approaching storms, then tall parents tend to ultimately have tall children and vice-versa is false.', 'Given that tadpoles eat algae and other plants that grow in their aquatic environment , it can be inferred that some women run, bike and lift weights.', 'The statement, some people say that the web is a graphical medium, does not hold.', 'Should it be the case that some women run, bike and lift weights, it follows that either most whales live out life or texture refers to the visual or tactile surface of a shape or field.', "Whenever it is true that either most whales live out life or texture refers to the visual or tactile surface of a shape or field, 'some people say that the web is a graphical medium' is true."]
|
At least one of two things is true: tadpoles eat algae and other plants that grow in their aquatic environment , or if environments influence reaction, then american men have a reputation for being faithful, family oriented and respectful of women. Either one or both of these statements are true: if weather forecasters use radar to locate and track approaching storms, then tall parents tend to ultimately have tall children and vice-versa, or the statement that 'american men have a reputation for being faithful, family oriented and respectful of women' is incorrect. The claim that if weather forecasters use radar to locate and track approaching storms, then tall parents tend to ultimately have tall children and vice-versa is false. Given that tadpoles eat algae and other plants that grow in their aquatic environment , it can be inferred that some women run, bike and lift weights. The statement, some people say that the web is a graphical medium, does not hold. Should it be the case that some women run, bike and lift weights, it follows that either most whales live out life or texture refers to the visual or tactile surface of a shape or field. Whenever it is true that either most whales live out life or texture refers to the visual or tactile surface of a shape or field, 'some people say that the web is a graphical medium' is true.
|
It is not the case that environments influence reaction.
|
It is not the case that environments influence reaction.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If [2], then [5].
Not [5]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Tonens:
If [5], then [6]. [SC1-4]
Not [6].
Therefore, Not [5]..
[SC1-4]
Hypothetical Syllogism:
If [5], then (Either [7] or [8].).
If (Either [7] or [8].), then [6].
Therefore, If [5], then [6]..
[SC2-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [1].).
Not (If [3], then [4].).
Therefore, Not [1]..
|
{0: 'Environments influence reaction.', 1: 'American men have a reputation for being faithful, family oriented and respectful of women.', 2: 'Tadpoles eat algae and other plants that grow in their aquatic environment .', 3: 'Weather forecasters use radar to locate and track approaching storms.', 4: 'Tall parents tend to ultimately have tall children and vice-versa.', 5: 'Some women run, bike and lift weights.', 6: 'Some people say that the web is a graphical medium.', 7: 'Most whales live out life.', 8: 'Texture refers to the visual or tactile surface of a shape or field.'}
| 6 |
5,788 |
['It is rational to believe that either either some food contains algas or textiles are perhaps the most significant single art form in the archipelago or if colonies can occupy and use a wide area of land to support themselves, then those that suggest grow trees have resources are wrong.', "Either one or both of these statements are true: children can rapidly die from malaria, or mitochondria are the cell's power plant.", "If mitochondria are the cell's power plant, then colonies can occupy and use a wide area of land to support themselves.", 'At least one of two things is true: hermetic seal prevents glue drying out, or some people mistakenly believe that either some food contains algas or textiles are perhaps the most significant single art form in the archipelago.', 'It is rational to believe that either cement can be a vapor barrier, too or spring is also the time when soil testing laboratories are overloaded with samples.', 'If cement can be a vapor barrier, too, then if children can rapidly die from malaria, then colonies can occupy and use a wide area of land to support themselves.', 'If spring is also the time when soil testing laboratories are overloaded with samples, then if children can rapidly die from malaria, then colonies can occupy and use a wide area of land to support themselves.', 'It is rational to believe that either infested roots contain fuzzy, white masses of eggs and females or it is a common misconception that hermetic seal prevents glue drying out.', 'It is not the case that infested roots contain fuzzy, white masses of eggs and females.']
|
It is rational to believe that either either some food contains algas or textiles are perhaps the most significant single art form in the archipelago or if colonies can occupy and use a wide area of land to support themselves, then those that suggest grow trees have resources are wrong. Either one or both of these statements are true: children can rapidly die from malaria, or mitochondria are the cell's power plant. If mitochondria are the cell's power plant, then colonies can occupy and use a wide area of land to support themselves. At least one of two things is true: hermetic seal prevents glue drying out, or some people mistakenly believe that either some food contains algas or textiles are perhaps the most significant single art form in the archipelago. It is rational to believe that either cement can be a vapor barrier, too or spring is also the time when soil testing laboratories are overloaded with samples. If cement can be a vapor barrier, too, then if children can rapidly die from malaria, then colonies can occupy and use a wide area of land to support themselves. If spring is also the time when soil testing laboratories are overloaded with samples, then if children can rapidly die from malaria, then colonies can occupy and use a wide area of land to support themselves. It is rational to believe that either infested roots contain fuzzy, white masses of eggs and females or it is a common misconception that hermetic seal prevents glue drying out. It is not the case that infested roots contain fuzzy, white masses of eggs and females.
|
Those that suggest grow trees have resources are wrong.
|
It is true that grow trees have resources.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If [1], then (Not [0].).).
Not (Either [2] or [3].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not (Either [2] or [3].).).
Not [6]. [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (Not [6].).
Not [9].
Therefore, Not [6]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then [1]. [SC2-2]
If [5], then [1].
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then [1].).
If [8], then (If [4], then [1].).
Therefore, If [4], then [1]..
|
{0: 'Grow trees have resources.', 1: 'Colonies can occupy and use a wide area of land to support themselves.', 2: 'Some food contains algas.', 3: 'Textiles are perhaps the most significant single art form in the archipelago.', 4: 'Children can rapidly die from malaria.', 5: "Mitochondria are the cell's power plant.", 6: 'Hermetic seal prevents glue drying out.', 7: 'Cement can be a vapor barrier, too.', 8: 'Spring is also the time when soil testing laboratories are overloaded with samples.', 9: 'Infested roots contain fuzzy, white masses of eggs and females.'}
| 6 |
5,045 |
['The claim that if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves does not reflect reality.', 'The claim that if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed is false.', 'On the condition that vacation is leisure, it is definitely the case that if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed.', 'It is not true that most mothers teach children.', 'We know that at least one of two things is true: divorces are separation, or all digestive disorders involve disturbances in pH levels and enzyme functions.', 'Given that divorces are separation, it can be inferred that if a razor is an edge tool, then if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed.', 'Once we know all digestive disorders involve disturbances in pH levels and enzyme functions, we also know that if a razor is an edge tool, then if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed.', 'Either if smokers have a right to breathe the foul air that comes from the end of a cigarette, then metamorphic rocks tend to have higher density than the original rock due to pressure and heat or molars have (part) bone cells.', "So long as if smokers have a right to breathe the foul air that comes from the end of a cigarette, then metamorphic rocks tend to have higher density than the original rock due to pressure and heat, 'if the claim that either a razor is an edge tool or vacation is leisure does not correspond with reality, then most mothers teach children' is true.", "So long as molars have (part) bone cells, 'if the claim that either a razor is an edge tool or vacation is leisure does not correspond with reality, then most mothers teach children' is true."]
|
The claim that if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves does not reflect reality. The claim that if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed is false. On the condition that vacation is leisure, it is definitely the case that if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed. It is not true that most mothers teach children. We know that at least one of two things is true: divorces are separation, or all digestive disorders involve disturbances in pH levels and enzyme functions. Given that divorces are separation, it can be inferred that if a razor is an edge tool, then if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed. Once we know all digestive disorders involve disturbances in pH levels and enzyme functions, we also know that if a razor is an edge tool, then if it is not true that if heavy infestations cause the leaves to turn pale green or yellow and fall off, then if some women experience nausea and vomiting for a day or so when using ECPs, then most plants typically have green leaves, then if computers provide virtual realities for human adventures, then water is the sum and substance of the world in which the fish is immersed. Either if smokers have a right to breathe the foul air that comes from the end of a cigarette, then metamorphic rocks tend to have higher density than the original rock due to pressure and heat or molars have (part) bone cells. So long as if smokers have a right to breathe the foul air that comes from the end of a cigarette, then metamorphic rocks tend to have higher density than the original rock due to pressure and heat, 'if the claim that either a razor is an edge tool or vacation is leisure does not correspond with reality, then most mothers teach children' is true. So long as molars have (part) bone cells, 'if the claim that either a razor is an edge tool or vacation is leisure does not correspond with reality, then most mothers teach children' is true.
|
Those that suggest heavy infestations cause the leaves to turn pale green or yellow and fall off are wrong.
|
The claim that heavy infestations cause the leaves to turn pale green or yellow and fall off is true.
|
FALSE
|
Modus Tonens:
If [0], then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [0], then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].).). [SC2-3]
If [6], then (If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].).).
Therefore, If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or [6].).), then [7]. [SC1-4]
Not [7].
Therefore, Either [5] or [6]..
[SC1-4]
Disjunction Elimination:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then (If (Not (Either [5] or [6].).), then [7].).
If [12], then (If (Not (Either [5] or [6].).), then [7].).
Therefore, If (Not (Either [5] or [6].).), then [7]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].).).).
If [9], then (If [5], then (If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].).).).
Therefore, If [5], then (If (Not (If [0], then (If [1], then [2].).).), then (If [3], then [4].).)..
|
{0: 'Heavy infestations cause the leaves to turn pale green or yellow and fall off.', 1: 'Some women experience nausea and vomiting for a day or so when using ECPs.', 2: 'Most plants typically have green leaves.', 3: 'Computers provide virtual realities for human adventures.', 4: 'Water is the sum and substance of the world in which the fish is immersed.', 5: 'A razor is an edge tool.', 6: 'Vacation is leisure.', 7: 'Most mothers teach children.', 8: 'Divorces are separation.', 9: 'All digestive disorders involve disturbances in pH levels and enzyme functions.', 10: 'Smokers have a right to breathe the foul air that comes from the end of a cigarette.', 11: 'Metamorphic rocks tend to have higher density than the original rock due to pressure and heat.', 12: 'Molars have (part) bone cells.'}
| 6 |
5,103 |
['We know that at least one of two things is true: potassium is the major electrolyte found inside all body cells, including muscle and nerve cells, or if odors influence the selection of food as much as the selection of a mate, then basic tools used in pruning are hand shears, loppers and hand saws.', 'Those that suggest potassium is the major electrolyte found inside all body cells, including muscle and nerve cells are wrong.', "So long as prehistoric birds have claws, 'it is a common misconception that basic tools used in pruning are hand shears, loppers and hand saws' is true.", 'Given that fungicides are important in suppressing damage caused by the early blight fungus, it can be inferred that if cows have an udder, then prehistoric birds have claws.', "The statement 'fungicides are important in suppressing damage caused by the early blight fungus' is true.", 'Assuming white dwarfs are extremely dense, we know that cows have an udder.', 'It is rational to agree that white dwarfs are extremely dense.']
|
We know that at least one of two things is true: potassium is the major electrolyte found inside all body cells, including muscle and nerve cells, or if odors influence the selection of food as much as the selection of a mate, then basic tools used in pruning are hand shears, loppers and hand saws. Those that suggest potassium is the major electrolyte found inside all body cells, including muscle and nerve cells are wrong. So long as prehistoric birds have claws, 'it is a common misconception that basic tools used in pruning are hand shears, loppers and hand saws' is true. Given that fungicides are important in suppressing damage caused by the early blight fungus, it can be inferred that if cows have an udder, then prehistoric birds have claws. The statement 'fungicides are important in suppressing damage caused by the early blight fungus' is true. Assuming white dwarfs are extremely dense, we know that cows have an udder. It is rational to agree that white dwarfs are extremely dense.
|
The statement 'odors influence the selection of food as much as the selection of a mate' can be considered false.
|
The claim that odors play an important role in agouti communication has no merit.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2].
Therefore, If [0], then [1]..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [4], then [3]. [SC1-3]
[4] [SC2-3]
Therefore, [3].
[SC1-3]
Modus Ponens:
If [5], then (If [4], then [3].).
[5]
Therefore, If [4], then [3]..
[SC2-3]
Modus Ponens:
If [6], then [4].
[6]
Therefore, [4].
|
{0: 'Odors influence the selection of food as much as the selection of a mate.', 1: 'Basic tools used in pruning are hand shears, loppers and hand saws.', 2: 'Potassium is the major electrolyte found inside all body cells, including muscle and nerve cells.', 3: 'Prehistoric birds have claws.', 4: 'Cows have an udder.', 5: 'Fungicides are important in suppressing damage caused by the early blight fungus.', 6: 'White dwarfs are extremely dense.'}
| 6 |
5,760 |
['When some people mistakenly believe that viruses form crystals very easily suggesting an ordered structure is true, it follows that every person has a different level of connection to their body, mind, spirit and emotions.', 'Provided that reds are also the top bean source of iron, we know that if every person has a different level of connection to their body, mind, spirit and emotions, then swimmers enjoy weather.', 'On the condition that if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms, it is definitely the case that if every person has a different level of connection to their body, mind, spirit and emotions, then swimmers enjoy weather.', 'Provided that every person has a different level of connection to their body, mind, spirit and emotions, we know that salmon is food.', 'Given that salmon is food, it can be inferred that it is not the case that swimmers enjoy weather.', 'laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents.', 'Either microtubule arrays are also in the cortex of the zygote or bonds are loans that investors make to corporations and governments.', 'Given that microtubule arrays are also in the cortex of the zygote, it can be inferred that if laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents, then either reds are also the top bean source of iron or if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms.', 'Given that bonds are loans that investors make to corporations and governments, it can be inferred that if laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents, then either reds are also the top bean source of iron or if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms.']
|
When some people mistakenly believe that viruses form crystals very easily suggesting an ordered structure is true, it follows that every person has a different level of connection to their body, mind, spirit and emotions. Provided that reds are also the top bean source of iron, we know that if every person has a different level of connection to their body, mind, spirit and emotions, then swimmers enjoy weather. On the condition that if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms, it is definitely the case that if every person has a different level of connection to their body, mind, spirit and emotions, then swimmers enjoy weather. Provided that every person has a different level of connection to their body, mind, spirit and emotions, we know that salmon is food. Given that salmon is food, it can be inferred that it is not the case that swimmers enjoy weather. laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents. Either microtubule arrays are also in the cortex of the zygote or bonds are loans that investors make to corporations and governments. Given that microtubule arrays are also in the cortex of the zygote, it can be inferred that if laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents, then either reds are also the top bean source of iron or if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms. Given that bonds are loans that investors make to corporations and governments, it can be inferred that if laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents, then either reds are also the top bean source of iron or if some spores develop into multicellular gametophytes, then snapdragons have (part) blossoms.
|
The idea that viruses form crystals very easily suggesting an ordered structure is true.
|
The statement that 'viruses form crystals very easily suggesting an ordered structure' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or (If [4], then [5].). [SC1-3]
If [3], then (If [1], then [2].).
If (If [4], then [5].), then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If [7], then (Either [3] or (If [4], then [5].).). [SC1-4]
[7]
Therefore, Either [3] or (If [4], then [5].)..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (Either [3] or (If [4], then [5].).).).
If [9], then (If [7], then (Either [3] or (If [4], then [5].).).).
Therefore, If [7], then (Either [3] or (If [4], then [5].).)..
[SC2-2]
Hypothetical Syllogism:
If [1], then [6].
If [6], then (Not [2].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Viruses form crystals very easily suggesting an ordered structure.', 1: 'Every person has a different level of connection to their body, mind, spirit and emotions.', 2: 'Swimmers enjoy weather.', 3: 'Reds are also the top bean source of iron.', 4: 'Some spores develop into multicellular gametophytes.', 5: 'Snapdragons have (part) blossoms.', 6: 'Salmon is food.', 7: 'Laboratory studies show that manganese crosses the placenta and retards growth in fetal rodents.', 8: 'Microtubule arrays are also in the cortex of the zygote.', 9: 'Bonds are loans that investors make to corporations and governments.'}
| 6 |
5,001 |
['It is a fact that either a tax bracket is a bracket or if nettles are widespread and common, then iron tends to accumulate in men and, to a lesser extent, postmenopausal women.', 'If if nettles are widespread and common, then iron tends to accumulate in men and, to a lesser extent, postmenopausal women, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind.', 'If those that suggest if a tax bracket is a bracket, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind are wrong, then the claim that barometers measure atmospheric pressure using mercury , water or air has no merit.', 'It is a simple truth that examples are skin cells, muscle cells, bone cells, or virtually any cell in the body.', 'On the condition that it is not true that either buffalo is the county seat of Wright County or if examples are skin cells, muscle cells, bone cells, or virtually any cell in the body, then if those that suggest if a tax bracket is a bracket, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind are wrong, then barometers measure atmospheric pressure using mercury , water or air, it is definitely the case that some children loss lean body mass before they experience a drop in total body weight.', 'We know that the claim that some children loss lean body mass before they experience a drop in total body weight is false.', 'Assuming aCE inhibitors prevent ventricular remodeling solely by decreasing left ventricular afterload, we know that the claim that buffalo is the county seat of Wright County does not reflect reality.', "The statement 'aCE inhibitors prevent ventricular remodeling solely by decreasing left ventricular afterload' can be considered true."]
|
It is a fact that either a tax bracket is a bracket or if nettles are widespread and common, then iron tends to accumulate in men and, to a lesser extent, postmenopausal women. If if nettles are widespread and common, then iron tends to accumulate in men and, to a lesser extent, postmenopausal women, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind. If those that suggest if a tax bracket is a bracket, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind are wrong, then the claim that barometers measure atmospheric pressure using mercury , water or air has no merit. It is a simple truth that examples are skin cells, muscle cells, bone cells, or virtually any cell in the body. On the condition that it is not true that either buffalo is the county seat of Wright County or if examples are skin cells, muscle cells, bone cells, or virtually any cell in the body, then if those that suggest if a tax bracket is a bracket, then if line noise is the term used to describe the corruption of data as it travels between two modems, then reproduction is the process of producing another organism of the same kind are wrong, then barometers measure atmospheric pressure using mercury , water or air, it is definitely the case that some children loss lean body mass before they experience a drop in total body weight. We know that the claim that some children loss lean body mass before they experience a drop in total body weight is false. Assuming aCE inhibitors prevent ventricular remodeling solely by decreasing left ventricular afterload, we know that the claim that buffalo is the county seat of Wright County does not reflect reality. The statement 'aCE inhibitors prevent ventricular remodeling solely by decreasing left ventricular afterload' can be considered true.
|
When line noise is the term used to describe the corruption of data as it travels between two modems is true, it follows that reproduction is the process of producing another organism of the same kind.
|
When line noise is the term used to describe the corruption of data as it travels between two modems is true, it follows that reproduction is the process of producing another organism of the same kind.
|
TRUE
|
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (If [0], then [1].). [SC2-1]
If (If [3], then [4].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then [5]. [SC1-2]
If (Not (If [2], then (If [0], then [1].).).), then (Not [5].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If [2], then (If [0], then [1].).).), then [5].). [SC1-3]
[6]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [5]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (If (Not (If [2], then (If [0], then [1].).).), then [5].).). [SC1-4]
Not [7]. [SC2-4]
Therefore, If [6], then (If (Not (If [2], then (If [0], then [1].).).), then [5].)..
[SC1-4]
Modus Tonens:
If (Not (Either [7] or (If [6], then (If (Not (If [2], then (If [0], then [1].).).), then [5].).).).), then [8].
Not [8].
Therefore, Either [7] or (If [6], then (If (Not (If [2], then (If [0], then [1].).).), then [5].).)..
[SC2-4]
Modus Ponens:
If [9], then (Not [7].).
[9]
Therefore, Not [7]..
|
{0: 'Line noise is the term used to describe the corruption of data as it travels between two modems.', 1: 'Reproduction is the process of producing another organism of the same kind.', 2: 'A tax bracket is a bracket.', 3: 'Nettles are widespread and common.', 4: 'Iron tends to accumulate in men and, to a lesser extent, postmenopausal women.', 5: 'Barometers measure atmospheric pressure using mercury , water or air.', 6: 'Examples are skin cells, muscle cells, bone cells, or virtually any cell in the body.', 7: 'Buffalo is the county seat of Wright County .', 8: 'Some children loss lean body mass before they experience a drop in total body weight.', 9: 'ACE inhibitors prevent ventricular remodeling solely by decreasing left ventricular afterload.'}
| 6 |
5,823 |
['We know that at least one of two things is true: road rage is caused by an incident that occurred on a roadway, or box offices are located in theaters.', "Whenever it is true that road rage is caused by an incident that occurred on a roadway, 'either either radio transmitters are transmitters or many plants reproduce by seeds or upsets are inversions' is true.", 'Once we know box offices are located in theaters, we also know that either either radio transmitters are transmitters or many plants reproduce by seeds or upsets are inversions.', 'Assuming toddlers often get uneasy when separated from their parents or introduced to strangers, we know that gloves are located in cabinets.', "The notion that 'stroke is the second most common cause of death worldwide' is untrue.", 'It is a fact that either protists form large amounts of cellulose or if either radio transmitters are transmitters or many plants reproduce by seeds, then toddlers often get uneasy when separated from their parents or introduced to strangers.', 'It is not the case that protists form large amounts of cellulose.', 'If the claim that if the claim that if upsets are inversions, then astronomers to gain knowledge does not correspond with reality, then stroke is the second most common cause of death worldwide does not correspond with reality, then clear breathing is critical to clear thinking.', 'If the claim that if the claim that if upsets are inversions, then astronomers to gain knowledge does not correspond with reality, then stroke is the second most common cause of death worldwide does not correspond with reality, then it is a common misconception that clear breathing is critical to clear thinking.']
|
We know that at least one of two things is true: road rage is caused by an incident that occurred on a roadway, or box offices are located in theaters. Whenever it is true that road rage is caused by an incident that occurred on a roadway, 'either either radio transmitters are transmitters or many plants reproduce by seeds or upsets are inversions' is true. Once we know box offices are located in theaters, we also know that either either radio transmitters are transmitters or many plants reproduce by seeds or upsets are inversions. Assuming toddlers often get uneasy when separated from their parents or introduced to strangers, we know that gloves are located in cabinets. The notion that 'stroke is the second most common cause of death worldwide' is untrue. It is a fact that either protists form large amounts of cellulose or if either radio transmitters are transmitters or many plants reproduce by seeds, then toddlers often get uneasy when separated from their parents or introduced to strangers. It is not the case that protists form large amounts of cellulose. If the claim that if the claim that if upsets are inversions, then astronomers to gain knowledge does not correspond with reality, then stroke is the second most common cause of death worldwide does not correspond with reality, then clear breathing is critical to clear thinking. If the claim that if the claim that if upsets are inversions, then astronomers to gain knowledge does not correspond with reality, then stroke is the second most common cause of death worldwide does not correspond with reality, then it is a common misconception that clear breathing is critical to clear thinking.
|
It is rational to believe that either gloves are located in cabinets or astronomers to gain knowledge.
|
At least one of two things is true: some gloves are made of leathers, or some astronomers become photographers.
|
Uncertain
|
Constructive Dilemma:
Either (Either [2] or [3].) or [4]. [SC1-1]
If (Either [2] or [3].), then [0]. [SC2-1]
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either (Either [2] or [3].) or [4].).
If [8], then (Either (Either [2] or [3].) or [4].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-1]
Hypothetical Syllogism:
If (Either [2] or [3].), then [5]. [SC1-2]
If [5], then [0].
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [10] or (If (Either [2] or [3].), then [5].).
Not [10].
Therefore, If (Either [2] or [3].), then [5]..
[SC3-1]
Modus Tonens:
If (Not (If [4], then [1].).), then [6]. [SC1-2]
Not [6].
Therefore, If [4], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then [1].).), then [6].).), then [9].
If (Not (If (Not (If [4], then [1].).), then [6].).), then (Not [9].).
Therefore, If (Not (If [4], then [1].).), then [6]..
|
{0: 'Gloves are located in cabinets.', 1: 'Astronomers to gain knowledge.', 2: 'Radio transmitters are transmitters.', 3: 'Many plants reproduce by seeds.', 4: 'Upsets are inversions.', 5: 'Toddlers often get uneasy when separated from their parents or introduced to strangers.', 6: 'Stroke is the second most common cause of death worldwide.', 7: 'Road rage is caused by an incident that occurred on a roadway.', 8: 'Box offices are located in theaters.', 9: 'Clear breathing is critical to clear thinking.', 10: 'Protists form large amounts of cellulose.'}
| 6 |
5,710 |
['Provided that many plants have self-sterility factors which force cross pollination, we know that either if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases or hawks have (part) cells.', 'It is rational to believe that either either pigs are the favoured animal for xenotransplantation but are more difficult to clone than sheep or fuelings is provision or most smooth coats have hues.', 'Once we know either pigs are the favoured animal for xenotransplantation but are more difficult to clone than sheep or fuelings is provision, we also know that if if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases, then interactions are multi-level processes that change over time.', 'On the condition that most smooth coats have hues, it is definitely the case that if if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases, then interactions are multi-level processes that change over time.', 'We know that at least one of two things is true: object isa entity, or if hawks have (part) cells, then interactions are multi-level processes that change over time.', 'The statement, object isa entity, does not hold.', 'We know that at least one of two things is true: either wind is accompanied by rain or all waterfowl share certain characteristics, or either many plants have self-sterility factors which force cross pollination or temperatures fall sharply at night.', 'The claim that either wind is accompanied by rain or all waterfowl share certain characteristics is false.', 'Once we know a capybara is a mammal, we also know that if temperatures fall sharply at night, then either if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases or hawks have (part) cells.', "The statement 'a capybara is a mammal' can be considered true."]
|
Provided that many plants have self-sterility factors which force cross pollination, we know that either if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases or hawks have (part) cells. It is rational to believe that either either pigs are the favoured animal for xenotransplantation but are more difficult to clone than sheep or fuelings is provision or most smooth coats have hues. Once we know either pigs are the favoured animal for xenotransplantation but are more difficult to clone than sheep or fuelings is provision, we also know that if if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases, then interactions are multi-level processes that change over time. On the condition that most smooth coats have hues, it is definitely the case that if if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases, then interactions are multi-level processes that change over time. We know that at least one of two things is true: object isa entity, or if hawks have (part) cells, then interactions are multi-level processes that change over time. The statement, object isa entity, does not hold. We know that at least one of two things is true: either wind is accompanied by rain or all waterfowl share certain characteristics, or either many plants have self-sterility factors which force cross pollination or temperatures fall sharply at night. The claim that either wind is accompanied by rain or all waterfowl share certain characteristics is false. Once we know a capybara is a mammal, we also know that if temperatures fall sharply at night, then either if psittacosis is a disease of low incidence that tends to occur sporadically, then some alkaline water has bases or hawks have (part) cells. The statement 'a capybara is a mammal' can be considered true.
|
It is the case that interactions are multi-level processes that change over time.
|
Interaction is an action.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [8] or [9]. [SC1-2]
If [8], then (Either (If [1], then [2].) or [3].).
If [9], then (Either (If [1], then [2].) or [3].). [SC3-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (Either [8] or [9].).
Not (Either [10] or [11].).
Therefore, Either [8] or [9]..
[SC3-2]
Modus Ponens:
If [12], then (If [9], then (Either (If [1], then [2].) or [3].).).
[12]
Therefore, If [9], then (Either (If [1], then [2].) or [3].)..
[SC2-1]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If (If [1], then [2].), then [0].).
If [7], then (If (If [1], then [2].), then [0].).
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].).
Not [4].
Therefore, If [3], then [0]..
|
{0: 'Interactions are multi-level processes that change over time.', 1: 'Psittacosis is a disease of low incidence that tends to occur sporadically.', 2: 'Some alkaline water has bases.', 3: 'Hawks have (part) cells.', 4: 'Object isa entity.', 5: 'Pigs are the favoured animal for xenotransplantation but are more difficult to clone than sheep.', 6: 'Fuelings is provision.', 7: 'Most smooth coats have hues.', 8: 'Many plants have self-sterility factors which force cross pollination.', 9: 'Temperatures fall sharply at night.', 10: 'Wind is accompanied by rain.', 11: 'All waterfowl share certain characteristics.', 12: 'A capybara is a mammal.'}
| 6 |
5,614 |
['There is good reason to believe that either a medical school is a graduate school or managerial positions require the management of a process and people.', "So long as managerial positions require the management of a process and people, 'if protein engineering is now commonplace, then liver tissue is tissue' is true.", 'Once we know the claim that protein engineering is now commonplace does not reflect reality, we also know that it is not the case that earwigs use their antennae for smelling and feeling.', 'There is good reason to believe that either citrine is a stone in the breastplate of the high priest or either anarchists believe that the core problem facing women is class society or certain places have certain special quality.', 'One may reasonably assume that if either anarchists believe that the core problem facing women is class society or certain places have certain special quality, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue.', 'One may reasonably assume that if some people mistakenly believe that if the claim that protein engineering is now commonplace does not reflect reality, then earwigs use their antennae for smelling and feeling, then christian parents strive to pass on to their children a heritage of faith and spirituality.', "Should it be the case that some people mistakenly believe that if the claim that protein engineering is now commonplace does not reflect reality, then earwigs use their antennae for smelling and feeling, it follows that the statement 'christian parents strive to pass on to their children a heritage of faith and spirituality' can be considered false.", 'When the claim that if citrine is a stone in the breastplate of the high priest, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue does not correspond with reality is true, it follows that arrays are lookup tables.', 'On the condition that the claim that if citrine is a stone in the breastplate of the high priest, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue does not correspond with reality, it is definitely the case that it is not true that arrays are lookup tables.']
|
There is good reason to believe that either a medical school is a graduate school or managerial positions require the management of a process and people. So long as managerial positions require the management of a process and people, 'if protein engineering is now commonplace, then liver tissue is tissue' is true. Once we know the claim that protein engineering is now commonplace does not reflect reality, we also know that it is not the case that earwigs use their antennae for smelling and feeling. There is good reason to believe that either citrine is a stone in the breastplate of the high priest or either anarchists believe that the core problem facing women is class society or certain places have certain special quality. One may reasonably assume that if either anarchists believe that the core problem facing women is class society or certain places have certain special quality, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue. One may reasonably assume that if some people mistakenly believe that if the claim that protein engineering is now commonplace does not reflect reality, then earwigs use their antennae for smelling and feeling, then christian parents strive to pass on to their children a heritage of faith and spirituality. Should it be the case that some people mistakenly believe that if the claim that protein engineering is now commonplace does not reflect reality, then earwigs use their antennae for smelling and feeling, it follows that the statement 'christian parents strive to pass on to their children a heritage of faith and spirituality' can be considered false. When the claim that if citrine is a stone in the breastplate of the high priest, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue does not correspond with reality is true, it follows that arrays are lookup tables. On the condition that the claim that if citrine is a stone in the breastplate of the high priest, then if a medical school is a graduate school, then if protein engineering is now commonplace, then liver tissue is tissue does not correspond with reality, it is definitely the case that it is not true that arrays are lookup tables.
|
We can assume that liver tissue is tissue.
|
We can assume that liver tissue is tissue.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [1], then [0].). [SC2-2]
If [3], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If [2], then (If [1], then [0].).). [SC2-3]
If (Either [6] or [7].), then (If [2], then (If [1], then [0].).).
Therefore, If [2], then (If [1], then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (If [2], then (If [1], then [0].).).).), then [9].
If (Not (If [5], then (If [2], then (If [1], then [0].).).).), then (Not [9].).
Therefore, If [5], then (If [2], then (If [1], then [0].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [4]. [SC1-2]
If (Not [1].), then (Not [4].).
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then [4].).), then [8].
If (Not (If (Not [1].), then [4].).), then (Not [8].).
Therefore, If (Not [1].), then [4]..
|
{0: 'Liver tissue is tissue.', 1: 'Protein engineering is now commonplace.', 2: 'A medical school is a graduate school.', 3: 'Managerial positions require the management of a process and people.', 4: 'Earwigs use their antennae for smelling and feeling.', 5: 'Citrine is a stone in the breastplate of the high priest.', 6: 'Anarchists believe that the core problem facing women is class society.', 7: 'Certain places have certain special quality.', 8: 'Christian parents strive to pass on to their children a heritage of faith and spirituality.', 9: 'Arrays are lookup tables.'}
| 6 |
5,790 |
["One may reasonably assume that if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then the statement 'diets have calories' can be considered false.", 'It is true that some horses live in woodlands.', 'Should it be the case that a tour is a journey, it follows that if some horses live in woodlands, then if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then diets have calories.', 'It is a fact that either government is made up of living institutions or dolphins are grey above and white below.', 'Once we know government is made up of living institutions, we also know that enzymes consist of large protein molecules whose surfaces are the site of intense chemical activity.', 'If dolphins are grey above and white below, then a tour is a journey.', 'The statement, pregnant female polar bears enter dens, does not hold.', 'Provided that it is not true that if enzymes consist of large protein molecules whose surfaces are the site of intense chemical activity, then if some horses live in woodlands, then if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then diets have calories, we know that international trade is the oldest and most lucrative business ever known.', 'Should it be the case that international trade is the oldest and most lucrative business ever known, it follows that pregnant female polar bears enter dens.']
|
One may reasonably assume that if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then the statement 'diets have calories' can be considered false. It is true that some horses live in woodlands. Should it be the case that a tour is a journey, it follows that if some horses live in woodlands, then if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then diets have calories. It is a fact that either government is made up of living institutions or dolphins are grey above and white below. Once we know government is made up of living institutions, we also know that enzymes consist of large protein molecules whose surfaces are the site of intense chemical activity. If dolphins are grey above and white below, then a tour is a journey. The statement, pregnant female polar bears enter dens, does not hold. Provided that it is not true that if enzymes consist of large protein molecules whose surfaces are the site of intense chemical activity, then if some horses live in woodlands, then if we know that the claim that if most matter absorbs radiant energy, then language schools are schools is false, then diets have calories, we know that international trade is the oldest and most lucrative business ever known. Should it be the case that international trade is the oldest and most lucrative business ever known, it follows that pregnant female polar bears enter dens.
|
So long as most matter absorbs radiant energy, 'language schools are schools' is true.
|
It is not the case that if most matter absorbs radiant energy, then language schools are schools.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (If (Not (If [0], then [1].).), then [2].). [SC1-2]
[3]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If [3], then (If (Not (If [0], then [1].).), then [2].).). [SC2-3]
If [5], then (If [3], then (If (Not (If [0], then [1].).), then [2].).).
Therefore, If [3], then (If (Not (If [0], then [1].).), then [2].)..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [4].
If [8], then [5].
Therefore, Either [4] or [5]..
[SC2-3]
Modus Tonens:
If (Not (If [4], then (If [3], then (If (Not (If [0], then [1].).), then [2].).).).), then [6]. [SC1-4]
Not [6].
Therefore, If [4], then (If [3], then (If (Not (If [0], then [1].).), then [2].).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [4], then (If [3], then (If (Not (If [0], then [1].).), then [2].).).).), then [9].
If [9], then [6].
Therefore, If (Not (If [4], then (If [3], then (If (Not (If [0], then [1].).), then [2].).).).), then [6]..
|
{0: 'Most matter absorbs radiant energy.', 1: 'Language schools are schools.', 2: 'Diets have calories.', 3: 'Some horses live in woodlands.', 4: 'Enzymes consist of large protein molecules whose surfaces are the site of intense chemical activity.', 5: 'A tour is a journey.', 6: 'Pregnant female polar bears enter dens.', 7: 'Government is made up of living institutions.', 8: 'Dolphins are grey above and white below.', 9: 'International trade is the oldest and most lucrative business ever known.'}
| 6 |
5,408 |
['One may reasonably assume that if some paleontologists believe that dinosaurs began to die out long before the end, then if it is not the case that some glands produce melatonin, then radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies .', 'Given that all ionospheric layers tend to merge at night, it can be inferred that if it is not the case that some glands produce melatonin, then radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies .', 'Provided that it is not true that if it is not the case that some glands produce melatonin, then some people mistakenly believe that radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies , we know that more evolution can produce two distinct species.', "The statement 'slings have (part) sections' can be considered false.", 'Given that more evolution can produce two distinct species, it can be inferred that either some inhibitors make the plant leaves fall off in the Autumn or sun damage accelerates the natural aging process.', 'The statement, either some inhibitors make the plant leaves fall off in the Autumn or sun damage accelerates the natural aging process, does not hold.', 'There is good reason to believe that either birds can suffer just as much from excess vitamins as an insufficiency or religious symbols have power.', 'Provided that birds can suffer just as much from excess vitamins as an insufficiency, we know that slings have (part) sections.', 'On the condition that religious symbols have power, it is definitely the case that either some paleontologists believe that dinosaurs began to die out long before the end or all ionospheric layers tend to merge at night.']
|
One may reasonably assume that if some paleontologists believe that dinosaurs began to die out long before the end, then if it is not the case that some glands produce melatonin, then radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies . Given that all ionospheric layers tend to merge at night, it can be inferred that if it is not the case that some glands produce melatonin, then radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies . Provided that it is not true that if it is not the case that some glands produce melatonin, then some people mistakenly believe that radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies , we know that more evolution can produce two distinct species. The statement 'slings have (part) sections' can be considered false. Given that more evolution can produce two distinct species, it can be inferred that either some inhibitors make the plant leaves fall off in the Autumn or sun damage accelerates the natural aging process. The statement, either some inhibitors make the plant leaves fall off in the Autumn or sun damage accelerates the natural aging process, does not hold. There is good reason to believe that either birds can suffer just as much from excess vitamins as an insufficiency or religious symbols have power. Provided that birds can suffer just as much from excess vitamins as an insufficiency, we know that slings have (part) sections. On the condition that religious symbols have power, it is definitely the case that either some paleontologists believe that dinosaurs began to die out long before the end or all ionospheric layers tend to merge at night.
|
It is true that some glands produce melatonin.
|
Glands produce sticky substances.
|
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 [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then [1].).
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either [3] or [4].). [SC1-3]
Not [7].
Therefore, Either [3] or [4]..
[SC1-3]
Constructive Dilemma:
Either [8] or [9].
If [8], then [7].
If [9], then (Either [3] or [4].).
Therefore, Either [7] or (Either [3] or [4].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Tonens:
If [2], then (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, Not [2]..
|
{0: 'Some glands produce melatonin.', 1: 'Radio astronomy is a subfield of astronomy that studies celestial objects at radio frequencies .', 2: 'More evolution can produce two distinct species.', 3: 'Some paleontologists believe that dinosaurs began to die out long before the end.', 4: 'All ionospheric layers tend to merge at night.', 5: 'Some inhibitors make the plant leaves fall off in the Autumn.', 6: 'Sun damage accelerates the natural aging process.', 7: 'Slings have (part) sections.', 8: 'Birds can suffer just as much from excess vitamins as an insufficiency.', 9: 'Religious symbols have power.'}
| 6 |
5,736 |
['Some people mistakenly believe that bacon has (part) bacon rinds.', 'Given that we know that the claim that if the statement that states many women give birth with little or no warning is false, then bacon has (part) bacon rinds is false, it can be inferred that it is a common misconception that snakes can live in a lot of different habitats like deserts, rain forests and oceans.', 'One may reasonably assume that if stars arise in gas clouds, then if we know that the claim that if the statement that states many women give birth with little or no warning is false, then bacon has (part) bacon rinds is false, then snakes can live in a lot of different habitats like deserts, rain forests and oceans.', 'It is a common misconception that if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process.', 'We know that at least one of two things is true: health is viewed as the maximizing of one s potential along various dimensions, or natural soaps are best when aged, the older the better.', 'Should it be the case that health is viewed as the maximizing of one s potential along various dimensions, it follows that either if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process or stars arise in gas clouds.', 'Should it be the case that all nations have laws against poisoning and murdering their citizens, and aiding and abetting same, it follows that if natural soaps are best when aged, the older the better, then either if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process or stars arise in gas clouds.', 'It is reasonable to believe that all nations have laws against poisoning and murdering their citizens, and aiding and abetting same.']
|
Some people mistakenly believe that bacon has (part) bacon rinds. Given that we know that the claim that if the statement that states many women give birth with little or no warning is false, then bacon has (part) bacon rinds is false, it can be inferred that it is a common misconception that snakes can live in a lot of different habitats like deserts, rain forests and oceans. One may reasonably assume that if stars arise in gas clouds, then if we know that the claim that if the statement that states many women give birth with little or no warning is false, then bacon has (part) bacon rinds is false, then snakes can live in a lot of different habitats like deserts, rain forests and oceans. It is a common misconception that if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process. We know that at least one of two things is true: health is viewed as the maximizing of one s potential along various dimensions, or natural soaps are best when aged, the older the better. Should it be the case that health is viewed as the maximizing of one s potential along various dimensions, it follows that either if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process or stars arise in gas clouds. Should it be the case that all nations have laws against poisoning and murdering their citizens, and aiding and abetting same, it follows that if natural soaps are best when aged, the older the better, then either if weasels have (part) ears, then fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process or stars arise in gas clouds. It is reasonable to believe that all nations have laws against poisoning and murdering their citizens, and aiding and abetting same.
|
The claim that many women give birth with little or no warning is true.
|
The claim that many women give birth with little or no warning is true.
|
TRUE
|
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 Ponens:
If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).
[3] [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either (If [4], then [5].) or [3]. [SC1-4]
Not (If [4], then [5].).
Therefore, [3].
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either (If [4], then [5].) or [3].).
If [7], then (Either (If [4], then [5].) or [3].). [SC3-5]
Therefore, Either (If [4], then [5].) or [3]..
[SC3-5]
Modus Ponens:
If [8], then (If [7], then (Either (If [4], then [5].) or [3].).).
[8]
Therefore, If [7], then (Either (If [4], then [5].) or [3].)..
|
{0: 'Many women give birth with little or no warning.', 1: 'Bacon has (part) bacon rinds.', 2: 'Snakes can live in a lot of different habitats like deserts, rain forests and oceans.', 3: 'Stars arise in gas clouds.', 4: 'Weasels have (part) ears.', 5: 'Fresh fruit contains fiber and nutrients and vitamins that are lost in the juicing process.', 6: 'Health is viewed as the maximizing of one s potential along various dimensions.', 7: 'Natural soaps are best when aged, the older the better.', 8: 'All nations have laws against poisoning and murdering their citizens, and aiding and abetting same.'}
| 6 |
5,957 |
["Should it be the case that anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected, it follows that the notion that 'autumn is a second spring when every leaf's a flower' is untrue.", "On the condition that the notion that 'if anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected, then thermoplastic resins soften or melt at elevated temperatures and harden during cooling' is untrue, it is definitely the case that voles also girdle the roots of trees and shrubs.", 'The claim that voles also girdle the roots of trees and shrubs does not reflect reality.', 'At least one of two things is true: cinnamon is spices, or spiders have special mouth parts, or jaws, called chelicerae, that look like farngs.', "If spiders have special mouth parts, or jaws, called chelicerae, that look like farngs, then if thermoplastic resins soften or melt at elevated temperatures and harden during cooling, then autumn is a second spring when every leaf's a flower.", 'The statement that states clip art is art that is in the public-domain is false.', "Once we know it is a common misconception that either clip art is art that is in the public-domain or if cinnamon is spices, then if thermoplastic resins soften or melt at elevated temperatures and harden during cooling, then autumn is a second spring when every leaf's a flower, we also know that dalmatians are medium-sized, short coated dogs.", 'The claim that dalmatians are medium-sized, short coated dogs has no merit.']
|
Should it be the case that anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected, it follows that the notion that 'autumn is a second spring when every leaf's a flower' is untrue. On the condition that the notion that 'if anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected, then thermoplastic resins soften or melt at elevated temperatures and harden during cooling' is untrue, it is definitely the case that voles also girdle the roots of trees and shrubs. The claim that voles also girdle the roots of trees and shrubs does not reflect reality. At least one of two things is true: cinnamon is spices, or spiders have special mouth parts, or jaws, called chelicerae, that look like farngs. If spiders have special mouth parts, or jaws, called chelicerae, that look like farngs, then if thermoplastic resins soften or melt at elevated temperatures and harden during cooling, then autumn is a second spring when every leaf's a flower. The statement that states clip art is art that is in the public-domain is false. Once we know it is a common misconception that either clip art is art that is in the public-domain or if cinnamon is spices, then if thermoplastic resins soften or melt at elevated temperatures and harden during cooling, then autumn is a second spring when every leaf's a flower, we also know that dalmatians are medium-sized, short coated dogs. The claim that dalmatians are medium-sized, short coated dogs has no merit.
|
It is a common misconception that anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected.
|
The claim that anthrax is a highly lethal biological weapon is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If [0], then [2].).), then [5].
Not [5].
Therefore, If [0], then [2]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then [1].). [SC2-3]
If [4], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [3], then (If [2], then [1].).). [SC1-4]
Not [6].
Therefore, If [3], then (If [2], then [1].)..
[SC1-4]
Modus Tonens:
If (Not (Either [6] or (If [3], then (If [2], then [1].).).).), then [7].
Not [7].
Therefore, Either [6] or (If [3], then (If [2], then [1].).)..
|
{0: 'Anthrax is a disease that usually affects animals, but humans who inhale the spores can be infected.', 1: "Autumn is a second spring when every leaf's a flower.", 2: 'Thermoplastic resins soften or melt at elevated temperatures and harden during cooling.', 3: 'Cinnamon is spices.', 4: 'Spiders have special mouth parts, or jaws, called chelicerae, that look like farngs.', 5: 'Voles also girdle the roots of trees and shrubs.', 6: 'Clip art is art that is in the public-domain.', 7: 'Dalmatians are medium-sized, short coated dogs.'}
| 6 |
5,366 |
['Either one or both of these statements are true: walruses are placental mammals, or saguaro cacti grow feet.', "Assuming walruses are placental mammals, we know that the statement 'road signs are guideposts' can be considered false.", "Once we know the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, we also know that some painters drink milk.", "On the condition that the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, it is definitely the case that those that suggest coyotes resemble dogs are wrong.", 'There is good reason to believe that either supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars or most minerals are salts of weak acids and strong bases.', "Once we know the notion that 'if supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs' is untrue, we also know that masks are important elements of some dances, and determine the character of the dance.", "Should it be the case that the notion that 'if supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs' is untrue, it follows that those that suggest masks are important elements of some dances, and determine the character of the dance are wrong.", 'It is a fact that either fluorocarbon wax is great for warmer, wetter snow or parental attention is one of the biggest motivators to children of all ages.', "If fluorocarbon wax is great for warmer, wetter snow, then if most minerals are salts of weak acids and strong bases, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs.", "Should it be the case that parental attention is one of the biggest motivators to children of all ages, it follows that if most minerals are salts of weak acids and strong bases, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs."]
|
Either one or both of these statements are true: walruses are placental mammals, or saguaro cacti grow feet. Assuming walruses are placental mammals, we know that the statement 'road signs are guideposts' can be considered false. Once we know the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, we also know that some painters drink milk. On the condition that the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, it is definitely the case that those that suggest coyotes resemble dogs are wrong. There is good reason to believe that either supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars or most minerals are salts of weak acids and strong bases. Once we know the notion that 'if supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs' is untrue, we also know that masks are important elements of some dances, and determine the character of the dance. Should it be the case that the notion that 'if supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs' is untrue, it follows that those that suggest masks are important elements of some dances, and determine the character of the dance are wrong. It is a fact that either fluorocarbon wax is great for warmer, wetter snow or parental attention is one of the biggest motivators to children of all ages. If fluorocarbon wax is great for warmer, wetter snow, then if most minerals are salts of weak acids and strong bases, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs. Should it be the case that parental attention is one of the biggest motivators to children of all ages, it follows that if most minerals are salts of weak acids and strong bases, then if the statement that states if the statement, if saguaro cacti grow feet, then the statement 'road signs are guideposts' can be considered false, does not hold, then it is not the case that some painters drink milk is false, then coyotes resemble dogs.
|
The statement 'road signs are guideposts' can be considered false.
|
The statement 'road signs are guideposts' can be considered false.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [3].
If (Not (If [2], then (Not [0].).).), then (Not [3].). [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then (Not [4].).
Therefore, If (Not (If [2], then (Not [0].).).), then (Not [3].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].). [SC2-4]
If [6], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].). [SC3-4]
Therefore, If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [5], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].).).), then [9].
If (Not (If [5], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].).).), then (Not [9].).
Therefore, If [5], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].)..
[SC3-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].).).
If [8], then (If [6], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].).).
Therefore, If [6], then (If (Not (If (Not (If [2], then (Not [0].).).), then (Not [3].).).), then [4].)..
|
{0: 'Road signs are guideposts.', 1: 'Walruses are placental mammals.', 2: 'Saguaro cacti grow feet.', 3: 'Some painters drink milk.', 4: 'Coyotes resemble dogs.', 5: 'Supermarkets have dog food in bags of all sizes, in cans, in pouches, and even doggie bars.', 6: 'Most minerals are salts of weak acids and strong bases.', 7: 'Fluorocarbon wax is great for warmer, wetter snow.', 8: 'Parental attention is one of the biggest motivators to children of all ages.', 9: 'Masks are important elements of some dances, and determine the character of the dance.'}
| 6 |
5,918 |
['Should it be the case that either freedom is an inherent right of every human on earth or most bears establish ranges, it follows that most diets ensure survival.', 'Should it be the case that firemen have (part) corpi, it follows that either if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures or either freedom is an inherent right of every human on earth or most bears establish ranges.', 'It is reasonable to believe that firemen have (part) corpi.', 'It is fair to say that millipedes are elongate, cylindrical with many body segments and legs.', "So long as the claim that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then gun barrels tend to walk as heat is generated as a result of discharging a round does not reflect reality, 'some chloride is produced by reaction' is true.", 'The statement, some chloride is produced by reaction, does not hold.', "Provided that it is a common misconception that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then the notion that 'gun barrels tend to walk as heat is generated as a result of discharging a round' is untrue, we know that fleas infest dogs.", "On the condition that it is a common misconception that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then the notion that 'gun barrels tend to walk as heat is generated as a result of discharging a round' is untrue, it is definitely the case that the statement that states fleas infest dogs is false."]
|
Should it be the case that either freedom is an inherent right of every human on earth or most bears establish ranges, it follows that most diets ensure survival. Should it be the case that firemen have (part) corpi, it follows that either if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures or either freedom is an inherent right of every human on earth or most bears establish ranges. It is reasonable to believe that firemen have (part) corpi. It is fair to say that millipedes are elongate, cylindrical with many body segments and legs. So long as the claim that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then gun barrels tend to walk as heat is generated as a result of discharging a round does not reflect reality, 'some chloride is produced by reaction' is true. The statement, some chloride is produced by reaction, does not hold. Provided that it is a common misconception that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then the notion that 'gun barrels tend to walk as heat is generated as a result of discharging a round' is untrue, we know that fleas infest dogs. On the condition that it is a common misconception that if the statement that states if millipedes are elongate, cylindrical with many body segments and legs, then if if women tend to constrain their own sexuality out of consideration for their partner, then recaptures are seizures, then most diets ensure survival is false, then the notion that 'gun barrels tend to walk as heat is generated as a result of discharging a round' is untrue, it is definitely the case that the statement that states fleas infest dogs is false.
|
The claim that most diets ensure survival holds true.
|
The claim that most diets ensure survival holds true.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or (Either [3] or [4].). [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If (Either [3] or [4].), then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [6], then (Either (If [1], then [2].) or (Either [3] or [4].).).
[6]
Therefore, Either (If [1], then [2].) or (Either [3] or [4].)..
[SC2-1]
Modus Ponens:
If [5], then (If (If [1], then [2].), then [0].). [SC1-2]
[5]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then [7]. [SC1-3]
If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then (Not [7].). [SC2-3]
Therefore, If [5], then (If (If [1], then [2].), then [0].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then [7].).), then [9].
Not [9].
Therefore, If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then [7]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then (Not [7].).).), then [8].
If (Not (If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then (Not [7].).).), then (Not [8].).
Therefore, If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then (Not [7].)..
|
{0: 'Most diets ensure survival.', 1: 'Women tend to constrain their own sexuality out of consideration for their partner.', 2: 'Recaptures are seizures.', 3: 'Freedom is an inherent right of every human on earth.', 4: 'Most bears establish ranges.', 5: 'Millipedes are elongate, cylindrical with many body segments and legs.', 6: 'Firemen have (part) corpi.', 7: 'Gun barrels tend to walk as heat is generated as a result of discharging a round.', 8: 'Fleas infest dogs.', 9: 'Some chloride is produced by reaction.'}
| 6 |
5,267 |
['Given that it is not true that either nucleotides also serve as nucleic acid monomers or black currants have unusual flavor, it can be inferred that digital phones are more likely to cause problems than analog phones.', "The notion that 'digital phones are more likely to cause problems than analog phones' is untrue.", 'On the condition that many ermine die from a parasitic worm that infects the nose, it is definitely the case that if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types.', 'The statement, medication is located in doctors, does not hold.', 'We know that at least one of two things is true: fresh food consists of vegetables, or either scaffolds perform functions or yeast is an organism that is normally found in the vagina.', "So long as fresh food consists of vegetables, 'if nucleotides also serve as nucleic acid monomers, then many ermine die from a parasitic worm that infects the nose' is true.", 'Once we know either scaffolds perform functions or yeast is an organism that is normally found in the vagina, we also know that if nucleotides also serve as nucleic acid monomers, then many ermine die from a parasitic worm that infects the nose.', 'Provided that it is a common misconception that if the claim that if black currants have unusual flavor, then if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types does not reflect reality, then medication is located in doctors, we know that earthquakes are part and parcel of California life.', "So long as it is a common misconception that if the claim that if black currants have unusual flavor, then if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types does not reflect reality, then medication is located in doctors, 'it is not true that earthquakes are part and parcel of California life' is true."]
|
Given that it is not true that either nucleotides also serve as nucleic acid monomers or black currants have unusual flavor, it can be inferred that digital phones are more likely to cause problems than analog phones. The notion that 'digital phones are more likely to cause problems than analog phones' is untrue. On the condition that many ermine die from a parasitic worm that infects the nose, it is definitely the case that if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types. The statement, medication is located in doctors, does not hold. We know that at least one of two things is true: fresh food consists of vegetables, or either scaffolds perform functions or yeast is an organism that is normally found in the vagina. So long as fresh food consists of vegetables, 'if nucleotides also serve as nucleic acid monomers, then many ermine die from a parasitic worm that infects the nose' is true. Once we know either scaffolds perform functions or yeast is an organism that is normally found in the vagina, we also know that if nucleotides also serve as nucleic acid monomers, then many ermine die from a parasitic worm that infects the nose. Provided that it is a common misconception that if the claim that if black currants have unusual flavor, then if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types does not reflect reality, then medication is located in doctors, we know that earthquakes are part and parcel of California life. So long as it is a common misconception that if the claim that if black currants have unusual flavor, then if hoary bats live alone except during fall migration and when mothers are accompanied by their young, then owls use types does not reflect reality, then medication is located in doctors, 'it is not true that earthquakes are part and parcel of California life' is true.
|
Once we know hoary bats live alone except during fall migration and when mothers are accompanied by their young, we also know that owls use types.
|
Once we know hoary bats live alone except during fall migration and when mothers are accompanied by their young, we also know that owls use types.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5].
Not [5].
Therefore, Either [2] or [3]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [6]. [SC1-2]
If [6], then (If [0], then [1].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (If [2], then [6].).
If (Either [8] or [9].), then (If [2], then [6].).
Therefore, If [2], then [6]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then (If [0], then [1].).).), then [4]. [SC1-2]
Not [4].
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then [10].
If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then (Not [10].).
Therefore, If (Not (If [3], then (If [0], then [1].).).), then [4]..
|
{0: 'Hoary bats live alone except during fall migration and when mothers are accompanied by their young.', 1: 'Owls use types.', 2: 'Nucleotides also serve as nucleic acid monomers.', 3: 'Black currants have unusual flavor.', 4: 'Medication is located in doctors.', 5: 'Digital phones are more likely to cause problems than analog phones.', 6: 'Many ermine die from a parasitic worm that infects the nose.', 7: 'Fresh food consists of vegetables.', 8: 'Scaffolds perform functions.', 9: 'Yeast is an organism that is normally found in the vagina.', 10: 'Earthquakes are part and parcel of California life.'}
| 6 |
5,230 |
['Assuming cockroaches carry disease and are a potential health hazard, we know that if some people like to talk about sports, then some people complain of fatigue and depression while on such drugs.', 'When dehydration can make food poisoning worse is true, it follows that if some people like to talk about sports, then the statement that states some people complain of fatigue and depression while on such drugs is false.', 'It is reasonable to believe that dehydration can make food poisoning worse.', 'On the condition that cODE is used for snippets of code which appear inside a paragraph of text, it is definitely the case that cockroaches carry disease and are a potential health hazard.', 'It is rational to agree that nephrology is the branch of medicine concerned with the kidney.', 'One may reasonably assume that if nephrology is the branch of medicine concerned with the kidney, then if viruses are very small particles which infect humans, animals, plants and even bacteria, then white dwarfs have relatively low rotational velocities.', 'Provided that if viruses are very small particles which infect humans, animals, plants and even bacteria, then white dwarfs have relatively low rotational velocities, we know that cODE is used for snippets of code which appear inside a paragraph of text.']
|
Assuming cockroaches carry disease and are a potential health hazard, we know that if some people like to talk about sports, then some people complain of fatigue and depression while on such drugs. When dehydration can make food poisoning worse is true, it follows that if some people like to talk about sports, then the statement that states some people complain of fatigue and depression while on such drugs is false. It is reasonable to believe that dehydration can make food poisoning worse. On the condition that cODE is used for snippets of code which appear inside a paragraph of text, it is definitely the case that cockroaches carry disease and are a potential health hazard. It is rational to agree that nephrology is the branch of medicine concerned with the kidney. One may reasonably assume that if nephrology is the branch of medicine concerned with the kidney, then if viruses are very small particles which infect humans, animals, plants and even bacteria, then white dwarfs have relatively low rotational velocities. Provided that if viruses are very small particles which infect humans, animals, plants and even bacteria, then white dwarfs have relatively low rotational velocities, we know that cODE is used for snippets of code which appear inside a paragraph of text.
|
The claim that some people like to talk about sports does not reflect reality.
|
Some people mistakenly believe that most people object to spiders because they believe their presence indicates an untidy house.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].).
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If [4], then [2].
[4] [SC2-3]
Therefore, [2].
[SC2-3]
Modus Ponens:
If [5], then [4]. [SC1-4]
[5]
Therefore, [4].
[SC1-4]
Hypothetical Syllogism:
If [5], then (If [6], then [7].).
If (If [6], then [7].), then [4].
Therefore, If [5], then [4]..
[SC2-1]
Modus Ponens:
If [3], then (If [0], then (Not [1].).).
[3]
Therefore, If [0], then (Not [1].)..
|
{0: 'Some people like to talk about sports.', 1: 'Some people complain of fatigue and depression while on such drugs.', 2: 'Cockroaches carry disease and are a potential health hazard.', 3: 'Dehydration can make food poisoning worse.', 4: 'CODE is used for snippets of code which appear inside a paragraph of text.', 5: 'Nephrology is the branch of medicine concerned with the kidney.', 6: 'Viruses are very small particles which infect humans, animals, plants and even bacteria.', 7: 'White dwarfs have relatively low rotational velocities.'}
| 6 |
5,996 |
["So long as biologists call it natural selection, 'the statement that 'either ribosomes are small, irregularly shaped particles, composed of two subunits or modernization is believed to involve the development of nationalism ' is incorrect' is true.", 'Once we know snakes live in the trees and on the forest floor, we also know that biologists call it natural selection.', 'It is a fact that either public policy is the result of the political process or hysteresis effects are present in the frequency response curves.', 'Assuming public policy is the result of the political process, we know that most marine fisheries provide important food sources.', "So long as hysteresis effects are present in the frequency response curves, 'snakes live in the trees and on the forest floor' is true.", 'One may reasonably assume that if most marine fisheries provide important food sources, then either biological agents are disease-producing germs or web pages are text documents, and they take very little space.', "At least one of two things is true: all societies have religion, and all depend upon it for solidarity, or the statement that 'either biological agents are disease-producing germs or web pages are text documents, and they take very little space' is incorrect.", 'Some people mistakenly believe that all societies have religion, and all depend upon it for solidarity.']
|
So long as biologists call it natural selection, 'the statement that 'either ribosomes are small, irregularly shaped particles, composed of two subunits or modernization is believed to involve the development of nationalism ' is incorrect' is true. Once we know snakes live in the trees and on the forest floor, we also know that biologists call it natural selection. It is a fact that either public policy is the result of the political process or hysteresis effects are present in the frequency response curves. Assuming public policy is the result of the political process, we know that most marine fisheries provide important food sources. So long as hysteresis effects are present in the frequency response curves, 'snakes live in the trees and on the forest floor' is true. One may reasonably assume that if most marine fisheries provide important food sources, then either biological agents are disease-producing germs or web pages are text documents, and they take very little space. At least one of two things is true: all societies have religion, and all depend upon it for solidarity, or the statement that 'either biological agents are disease-producing germs or web pages are text documents, and they take very little space' is incorrect. Some people mistakenly believe that all societies have religion, and all depend upon it for solidarity.
|
The statement that 'either ribosomes are small, irregularly shaped particles, composed of two subunits or modernization is believed to involve the development of nationalism ' is incorrect.
|
It is rational to believe that either ribosomes are small, irregularly shaped particles, composed of two subunits or modernization is believed to involve the development of nationalism .
|
FALSE
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).).
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Modus Ponens:
If [3], then [2].
[3] [SC2-2]
Therefore, [2].
[SC2-2]
Disjunctive Syllogism:
Either [4] or [3]. [SC1-3]
Not [4]. [SC2-3]
Therefore, [3].
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [4].
If [8], then [3].
Therefore, Either [4] or [3]..
[SC2-3]
Modus Tonens:
If [4], then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not (Either [5] or [6].).).
Not [9].
Therefore, Not (Either [5] or [6].)..
|
{0: 'Ribosomes are small, irregularly shaped particles, composed of two subunits.', 1: 'Modernization is believed to involve the development of nationalism .', 2: 'Biologists call it natural selection.', 3: 'Snakes live in the trees and on the forest floor.', 4: 'Most marine fisheries provide important food sources.', 5: 'Biological agents are disease-producing germs.', 6: 'Web pages are text documents, and they take very little space.', 7: 'Public policy is the result of the political process.', 8: 'Hysteresis effects are present in the frequency response curves.', 9: 'All societies have religion, and all depend upon it for solidarity.'}
| 6 |
5,635 |
['We know that at least one of two things is true: some disorder occurs in pregnancy, or intoxications cause regret.', 'Once we know some disorder occurs in pregnancy, we also know that it is a common misconception that cuscuses have (part) brains.', "Whenever it is true that heat stress is believed to decrease plant growth due to inhibition of photosynthetic rate, 'if the claim that if some disorder occurs in pregnancy, then cuscuses have (part) brains is false, then a pterygium is a mucosa' is true.", 'The idea that heat stress is believed to decrease plant growth due to inhibition of photosynthetic rate is true.', "Whenever it is true that a pterygium is a mucosa, 'contract means any agreement enforceable by law' is true.", 'Given that if paper is a process made from wood pulp and cellulose fiber, then satellite orbits are normally either polar or equatorial, it can be inferred that it is not true that contract means any agreement enforceable by law.', 'Should it be the case that paper is a process made from wood pulp and cellulose fiber, it follows that satellite orbits are normally either polar or equatorial.']
|
We know that at least one of two things is true: some disorder occurs in pregnancy, or intoxications cause regret. Once we know some disorder occurs in pregnancy, we also know that it is a common misconception that cuscuses have (part) brains. Whenever it is true that heat stress is believed to decrease plant growth due to inhibition of photosynthetic rate, 'if the claim that if some disorder occurs in pregnancy, then cuscuses have (part) brains is false, then a pterygium is a mucosa' is true. The idea that heat stress is believed to decrease plant growth due to inhibition of photosynthetic rate is true. Whenever it is true that a pterygium is a mucosa, 'contract means any agreement enforceable by law' is true. Given that if paper is a process made from wood pulp and cellulose fiber, then satellite orbits are normally either polar or equatorial, it can be inferred that it is not true that contract means any agreement enforceable by law. Should it be the case that paper is a process made from wood pulp and cellulose fiber, it follows that satellite orbits are normally either polar or equatorial.
|
The statement 'intoxications cause regret' is true.
|
The statement that 'intoxications cause regret' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If [5], then (If (Not (If [1], then [2].).), then [3].).
[5]
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-3]
Modus Tonens:
If [3], then [4].
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC2-4]
Modus Ponens:
If (If [6], then [7].), then (Not [4].).
If [6], then [7].
Therefore, Not [4]..
|
{0: 'Intoxications cause regret.', 1: 'Some disorder occurs in pregnancy.', 2: 'Cuscuses have (part) brains.', 3: 'A pterygium is a mucosa.', 4: 'Contract means any agreement enforceable by law.', 5: 'Heat stress is believed to decrease plant growth due to inhibition of photosynthetic rate.', 6: 'Paper is a process made from wood pulp and cellulose fiber.', 7: 'Satellite orbits are normally either polar or equatorial.'}
| 6 |
5,698 |
["The claim that magnesium carbonate is the buffer in Wei T'o holds true.", "If if water spouts are the cause of hundreds of reports of sea food showers, then rock music is a religion to many people, then if magnesium carbonate is the buffer in Wei T'o, then it is not the case that doctors use several methods.", 'It is rational to believe that either birds get hardening of the arteries and heart disease just like people or if water spouts are the cause of hundreds of reports of sea food showers, then rock music is a religion to many people.', 'It is rational to believe that either plants synthesize amino acids from the combination of sunlight, water and soils or snakes are generally unpopular animals even among many nature enthusiasts.', "Whenever it is true that plants synthesize amino acids from the combination of sunlight, water and soils, 'if birds get hardening of the arteries and heart disease just like people, then ethiopian has (part) cells' is true.", 'Once we know snakes are generally unpopular animals even among many nature enthusiasts, we also know that if birds get hardening of the arteries and heart disease just like people, then ethiopian has (part) cells.', 'At least one of two things is true: emission nebulas are nebulas, or most people have two kidneys.', 'One may reasonably assume that if emission nebulas are nebulas, then if birds get hardening of the arteries and heart disease just like people, then it is not the case that ethiopian has (part) cells.', 'Once we know most people have two kidneys, we also know that if birds get hardening of the arteries and heart disease just like people, then it is not the case that ethiopian has (part) cells.']
|
The claim that magnesium carbonate is the buffer in Wei T'o holds true. If if water spouts are the cause of hundreds of reports of sea food showers, then rock music is a religion to many people, then if magnesium carbonate is the buffer in Wei T'o, then it is not the case that doctors use several methods. It is rational to believe that either birds get hardening of the arteries and heart disease just like people or if water spouts are the cause of hundreds of reports of sea food showers, then rock music is a religion to many people. It is rational to believe that either plants synthesize amino acids from the combination of sunlight, water and soils or snakes are generally unpopular animals even among many nature enthusiasts. Whenever it is true that plants synthesize amino acids from the combination of sunlight, water and soils, 'if birds get hardening of the arteries and heart disease just like people, then ethiopian has (part) cells' is true. Once we know snakes are generally unpopular animals even among many nature enthusiasts, we also know that if birds get hardening of the arteries and heart disease just like people, then ethiopian has (part) cells. At least one of two things is true: emission nebulas are nebulas, or most people have two kidneys. One may reasonably assume that if emission nebulas are nebulas, then if birds get hardening of the arteries and heart disease just like people, then it is not the case that ethiopian has (part) cells. Once we know most people have two kidneys, we also know that if birds get hardening of the arteries and heart disease just like people, then it is not the case that ethiopian has (part) cells.
|
It is not the case that doctors use several methods.
|
The statement 'doctors use several methods' is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [2], then [3].), then (If [1], then (Not [0].).).
If [2], then [3]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [2], then [3].).
Not [4]. [SC2-3]
Therefore, If [2], then [3]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-4]
If [4], then (Not [5].). [SC2-4]
Therefore, Not [4]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then [5].).
If [9], then (If [4], then [5].).
Therefore, If [4], then [5]..
[SC2-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (Not [5].).).
If [7], then (If [4], then (Not [5].).).
Therefore, If [4], then (Not [5].)..
|
{0: 'Doctors use several methods.', 1: "Magnesium carbonate is the buffer in Wei T'o.", 2: 'Water spouts are the cause of hundreds of reports of sea food showers.', 3: 'Rock music is a religion to many people.', 4: 'Birds get hardening of the arteries and heart disease just like people.', 5: 'Ethiopian has (part) cells.', 6: 'Emission nebulas are nebulas.', 7: 'Most people have two kidneys.', 8: 'Plants synthesize amino acids from the combination of sunlight, water and soils.', 9: 'Snakes are generally unpopular animals even among many nature enthusiasts.'}
| 6 |
5,251 |
['Either violence continues at a level that undermines democracy and the rule of law or either either some vertebrates shed skin or florida state football teams get indoor practice facilities or if political science is the systematic study of government, politics and public policy, then osteoporosis can be a tragic disease.', 'Assuming some sugar increases concentration, we know that those that suggest either some vertebrates shed skin or florida state football teams get indoor practice facilities are wrong.', 'On the condition that internet searches can often help to find lost sisters and make new friends, it is definitely the case that those that suggest either some vertebrates shed skin or florida state football teams get indoor practice facilities are wrong.', "There is good reason to believe that either play sports laughs or the notion that 'violence continues at a level that undermines democracy and the rule of law' is untrue.", 'The claim that play sports laughs does not correspond with reality.', 'The claim that deforestation is the rapid destruction of woodland is false.', 'Either many gastrointestinal hormones influence the motility or some people think that in the horn of a unicorn, there are magical powers.', 'If many gastrointestinal hormones influence the motility, then deforestation is the rapid destruction of woodland.', 'If some people think that in the horn of a unicorn, there are magical powers, then either some sugar increases concentration or internet searches can often help to find lost sisters and make new friends.']
|
Either violence continues at a level that undermines democracy and the rule of law or either either some vertebrates shed skin or florida state football teams get indoor practice facilities or if political science is the systematic study of government, politics and public policy, then osteoporosis can be a tragic disease. Assuming some sugar increases concentration, we know that those that suggest either some vertebrates shed skin or florida state football teams get indoor practice facilities are wrong. On the condition that internet searches can often help to find lost sisters and make new friends, it is definitely the case that those that suggest either some vertebrates shed skin or florida state football teams get indoor practice facilities are wrong. There is good reason to believe that either play sports laughs or the notion that 'violence continues at a level that undermines democracy and the rule of law' is untrue. The claim that play sports laughs does not correspond with reality. The claim that deforestation is the rapid destruction of woodland is false. Either many gastrointestinal hormones influence the motility or some people think that in the horn of a unicorn, there are magical powers. If many gastrointestinal hormones influence the motility, then deforestation is the rapid destruction of woodland. If some people think that in the horn of a unicorn, there are magical powers, then either some sugar increases concentration or internet searches can often help to find lost sisters and make new friends.
|
So long as political science is the systematic study of government, politics and public policy, 'osteoporosis can be a tragic disease' is true.
|
Whenever it is true that political science is the systematic study of government, politics and public policy, 'osteoporosis is common, for example, in older women following menopause' is true.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If [0], then [1].). [SC1-1]
Not (Either [2] or [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [6] or (Either (Either [2] or [3].) or (If [0], then [1].).).
Not [6]. [SC2-2]
Therefore, Either (Either [2] or [3].) or (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not [6].).
Not [7].
Therefore, Not [6]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not (Either [2] or [3].).).
If [5], then (Not (Either [2] or [3].).).
Therefore, Not (Either [2] or [3].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either [4] or [5].). [SC1-3]
Not [8].
Therefore, Either [4] or [5]..
[SC1-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then [8].
If [10], then (Either [4] or [5].).
Therefore, Either [8] or (Either [4] or [5].)..
|
{0: 'Political science is the systematic study of government, politics and public policy.', 1: 'Osteoporosis can be a tragic disease.', 2: 'Some vertebrates shed skin.', 3: 'Florida state football teams get indoor practice facilities.', 4: 'Some sugar increases concentration.', 5: 'Internet searches can often help to find lost sisters and make new friends.', 6: 'Violence continues at a level that undermines democracy and the rule of law.', 7: 'Play sports laughs.', 8: 'Deforestation is the rapid destruction of woodland.', 9: 'Many gastrointestinal hormones influence the motility.', 10: 'Some people think that in the horn of a unicorn, there are magical powers.'}
| 6 |
5,783 |
["So long as the statement that 'if garbage containers present considerable health problems if pets eat spoiled food, then most gazelles have necks' is incorrect, 'cultural studies emphasize the universal needs of human beings and an appreciation of diversity' is true.", 'We know that at least one of two things is true: mass percent is the percent by mass of the solute in the solution, or it is not the case that cultural studies emphasize the universal needs of human beings and an appreciation of diversity.', 'The claim that mass percent is the percent by mass of the solute in the solution has no merit.', "So long as either development does decrease birth rates - rich countries all have slow or no population growth or canonical correlation is a tool for measuring construct validity, 'if the claim that if garbage containers present considerable health problems if pets eat spoiled food, then the claim that most gazelles have necks does not correspond with reality does not reflect reality, then cloning is now a scientific possibility' is true.", 'It is rational to believe that either development does decrease birth rates - rich countries all have slow or no population growth or canonical correlation is a tool for measuring construct validity.', 'Provided that either warblers have (part) cell membranes or many diseases are caused by viruses, we know that if the claim that if garbage containers present considerable health problems if pets eat spoiled food, then the claim that most gazelles have necks does not correspond with reality does not reflect reality, then the claim that cloning is now a scientific possibility is false.', 'There is good reason to believe that either warblers have (part) cell membranes or many diseases are caused by viruses.']
|
So long as the statement that 'if garbage containers present considerable health problems if pets eat spoiled food, then most gazelles have necks' is incorrect, 'cultural studies emphasize the universal needs of human beings and an appreciation of diversity' is true. We know that at least one of two things is true: mass percent is the percent by mass of the solute in the solution, or it is not the case that cultural studies emphasize the universal needs of human beings and an appreciation of diversity. The claim that mass percent is the percent by mass of the solute in the solution has no merit. So long as either development does decrease birth rates - rich countries all have slow or no population growth or canonical correlation is a tool for measuring construct validity, 'if the claim that if garbage containers present considerable health problems if pets eat spoiled food, then the claim that most gazelles have necks does not correspond with reality does not reflect reality, then cloning is now a scientific possibility' is true. It is rational to believe that either development does decrease birth rates - rich countries all have slow or no population growth or canonical correlation is a tool for measuring construct validity. Provided that either warblers have (part) cell membranes or many diseases are caused by viruses, we know that if the claim that if garbage containers present considerable health problems if pets eat spoiled food, then the claim that most gazelles have necks does not correspond with reality does not reflect reality, then the claim that cloning is now a scientific possibility is false. There is good reason to believe that either warblers have (part) cell membranes or many diseases are caused by viruses.
|
The claim that garbage containers present considerable health problems if pets eat spoiled food does not correspond with reality.
|
It is not the case that frat parties are located in fraternity houses.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [2].).
Not [6].
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [3]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [3].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (If (Not (If [0], then (Not [1].).).), then [3].).
Either [4] or [5].
Therefore, If (Not (If [0], then (Not [1].).).), then [3]..
[SC2-2]
Modus Ponens:
If (Either [7] or [8].), then (If (Not (If [0], then (Not [1].).).), then (Not [3].).).
Either [7] or [8].
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [3].)..
|
{0: 'Garbage containers present considerable health problems if pets eat spoiled food.', 1: 'Most gazelles have necks.', 2: 'Cultural studies emphasize the universal needs of human beings and an appreciation of diversity.', 3: 'Cloning is now a scientific possibility.', 4: 'Development does decrease birth rates - rich countries all have slow or no population growth.', 5: 'Canonical correlation is a tool for measuring construct validity.', 6: 'Mass percent is the percent by mass of the solute in the solution.', 7: 'Warblers have (part) cell membranes.', 8: 'Many diseases are caused by viruses.'}
| 6 |
5,819 |
['We know that at least one of two things is true: doves prefer open land and areas of natural grasses, or some systematists desire to regard phyletic series as the only natural divisions.', 'Given that some systematists desire to regard phyletic series as the only natural divisions, it can be inferred that if architecture is about aesthetics, then birds make sites.', "We know that at least one of two things is true: a magic spell is a speech, or if hair loss is a natural part of the body's process of renewal, then geckos are lizards.", 'Should it be the case that a magic spell is a speech, it follows that if doves prefer open land and areas of natural grasses, then if architecture is about aesthetics, then birds make sites.', "Whenever it is true that the statement 'if if hair loss is a natural part of the body's process of renewal, then geckos are lizards, then if doves prefer open land and areas of natural grasses, then if architecture is about aesthetics, then birds make sites' can be considered false, 'heat is a phenomenon involving whole atoms' is true.", "If riding helps youth grow physically and psychologically, then the statement that 'heat is a phenomenon involving whole atoms' is incorrect.", "The statement 'food allergies can be as subtle as scratching of the ears without the presence of ear infection' is true.", 'When if puppies go through puppy development, then kookaburras usually live in family groups is true, it follows that if food allergies can be as subtle as scratching of the ears without the presence of ear infection, then riding helps youth grow physically and psychologically.', 'On the condition that puppies go through puppy development, it is definitely the case that kookaburras usually live in family groups.']
|
We know that at least one of two things is true: doves prefer open land and areas of natural grasses, or some systematists desire to regard phyletic series as the only natural divisions. Given that some systematists desire to regard phyletic series as the only natural divisions, it can be inferred that if architecture is about aesthetics, then birds make sites. We know that at least one of two things is true: a magic spell is a speech, or if hair loss is a natural part of the body's process of renewal, then geckos are lizards. Should it be the case that a magic spell is a speech, it follows that if doves prefer open land and areas of natural grasses, then if architecture is about aesthetics, then birds make sites. Whenever it is true that the statement 'if if hair loss is a natural part of the body's process of renewal, then geckos are lizards, then if doves prefer open land and areas of natural grasses, then if architecture is about aesthetics, then birds make sites' can be considered false, 'heat is a phenomenon involving whole atoms' is true. If riding helps youth grow physically and psychologically, then the statement that 'heat is a phenomenon involving whole atoms' is incorrect. The statement 'food allergies can be as subtle as scratching of the ears without the presence of ear infection' is true. When if puppies go through puppy development, then kookaburras usually live in family groups is true, it follows that if food allergies can be as subtle as scratching of the ears without the presence of ear infection, then riding helps youth grow physically and psychologically. On the condition that puppies go through puppy development, it is definitely the case that kookaburras usually live in family groups.
|
Should it be the case that architecture is about aesthetics, it follows that birds make sites.
|
Should it be the case that architecture is about aesthetics, it follows that birds make sites.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (If [2], then (If [0], then [1].).).
If (If [5], then [6].), then (If [2], then (If [0], then [1].).). [SC3-2]
Therefore, If [2], then (If [0], then [1].)..
[SC3-2]
Modus Tonens:
If (Not (If (If [5], then [6].), then (If [2], then (If [0], then [1].).).).), then [7].
Not [7]. [SC2-3]
Therefore, If (If [5], then [6].), then (If [2], then (If [0], then [1].).)..
[SC2-3]
Modus Ponens:
If [8], then (Not [7].).
[8] [SC2-4]
Therefore, Not [7]..
[SC2-4]
Modus Ponens:
If [9], then [8]. [SC1-5]
[9]
Therefore, [8].
[SC1-5]
Modus Ponens:
If (If [10], then [11].), then (If [9], then [8].).
If [10], then [11].
Therefore, If [9], then [8]..
|
{0: 'Architecture is about aesthetics.', 1: 'Birds make sites.', 2: 'Doves prefer open land and areas of natural grasses.', 3: 'Some systematists desire to regard phyletic series as the only natural divisions.', 4: 'A magic spell is a speech.', 5: "Hair loss is a natural part of the body's process of renewal.", 6: 'Geckos are lizards.', 7: 'Heat is a phenomenon involving whole atoms.', 8: 'Riding helps youth grow physically and psychologically.', 9: 'Food allergies can be as subtle as scratching of the ears without the presence of ear infection.', 10: 'Puppies go through puppy development.', 11: 'Kookaburras usually live in family groups.'}
| 6 |
5,141 |
['Assuming the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, we know that guns also prevent injuries to good people and protect billions of dollars of property every year.', 'When those that suggest if the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, then it is not true that heart disease affects the heart muscle are wrong is true, it follows that the claim that if some people use aminoglycosides even though they are ototoxic, then scoters breed in Canada and Alaska does not reflect reality.', 'If either shish kebabs are cooked or grilled on skewers , over hot coals or wood or many countries have culture collections of organisms, be it fungi, bacteria or whatever, then if guns also prevent injuries to good people and protect billions of dollars of property every year, then heart disease affects the heart muscle.', 'It is a fact that either shish kebabs are cooked or grilled on skewers , over hot coals or wood or many countries have culture collections of organisms, be it fungi, bacteria or whatever.', 'On the condition that the claim that if those that suggest if the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, then it is not true that heart disease affects the heart muscle are wrong, then if some people use aminoglycosides even though they are ototoxic, then scoters breed in Canada and Alaska does not correspond with reality, it is definitely the case that margin money is like a security deposit or insurance against a possible future loss of value.', 'We know that at least one of two things is true: cattle are mostly black and naturally polled or hornless, or cancer is one of the most dangerous and deadly diseases today.', 'On the condition that cattle are mostly black and naturally polled or hornless, it is definitely the case that some people mistakenly believe that margin money is like a security deposit or insurance against a possible future loss of value.', 'One may reasonably assume that if cancer is one of the most dangerous and deadly diseases today, then some people mistakenly believe that margin money is like a security deposit or insurance against a possible future loss of value.']
|
Assuming the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, we know that guns also prevent injuries to good people and protect billions of dollars of property every year. When those that suggest if the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, then it is not true that heart disease affects the heart muscle are wrong is true, it follows that the claim that if some people use aminoglycosides even though they are ototoxic, then scoters breed in Canada and Alaska does not reflect reality. If either shish kebabs are cooked or grilled on skewers , over hot coals or wood or many countries have culture collections of organisms, be it fungi, bacteria or whatever, then if guns also prevent injuries to good people and protect billions of dollars of property every year, then heart disease affects the heart muscle. It is a fact that either shish kebabs are cooked or grilled on skewers , over hot coals or wood or many countries have culture collections of organisms, be it fungi, bacteria or whatever. On the condition that the claim that if those that suggest if the claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs does not reflect reality, then it is not true that heart disease affects the heart muscle are wrong, then if some people use aminoglycosides even though they are ototoxic, then scoters breed in Canada and Alaska does not correspond with reality, it is definitely the case that margin money is like a security deposit or insurance against a possible future loss of value. We know that at least one of two things is true: cattle are mostly black and naturally polled or hornless, or cancer is one of the most dangerous and deadly diseases today. On the condition that cattle are mostly black and naturally polled or hornless, it is definitely the case that some people mistakenly believe that margin money is like a security deposit or insurance against a possible future loss of value. One may reasonably assume that if cancer is one of the most dangerous and deadly diseases today, then some people mistakenly believe that margin money is like a security deposit or insurance against a possible future loss of value.
|
It is fair to say that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs.
|
The claim that cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs has no merit.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If (Either [5] or [6].), then (If [2], then [1].).
Either [5] or [6].
Therefore, If [2], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].). [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not (If [3], then [4].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).).), then [7].
Not [7]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Cephalopods are a class of mollusks, a phylum that also includes snails, chitons, clams and slugs.', 1: 'Heart disease affects the heart muscle.', 2: 'Guns also prevent injuries to good people and protect billions of dollars of property every year.', 3: 'Some people use aminoglycosides even though they are ototoxic.', 4: 'Scoters breed in Canada and Alaska.', 5: 'Shish kebabs are cooked or grilled on skewers , over hot coals or wood .', 6: 'Many countries have culture collections of organisms, be it fungi, bacteria or whatever.', 7: 'Margin money is like a security deposit or insurance against a possible future loss of value.', 8: 'Cattle are mostly black and naturally polled or hornless.', 9: 'Cancer is one of the most dangerous and deadly diseases today.'}
| 6 |
5,316 |
['Provided that some people mistakenly believe that bananas get brown spots, we know that it is not the case that most pests thrive on monocultures and starve when faced with a wide selection of plants.', 'Should it be the case that acid undergoes anaerobic degradations, it follows that if we know that the claim that if some people mistakenly believe that bananas get brown spots, then most pests thrive on monocultures and starve when faced with a wide selection of plants is false, then urbanization has several different, often opposing, effects on environmental sustainability.', 'Assuming sexual desire is a normal and natural feeling for women and men, we know that if we know that the claim that if some people mistakenly believe that bananas get brown spots, then most pests thrive on monocultures and starve when faced with a wide selection of plants is false, then urbanization has several different, often opposing, effects on environmental sustainability.', 'Provided that corporations are consumers, we know that the claim that urbanization has several different, often opposing, effects on environmental sustainability has no merit.', 'corporations are consumers.', 'At least one of two things is true: plants lose vigor and produce less chlorophyll, or prairie dogs are essential to black-footed ferrets.', 'Provided that prairie dogs are essential to black-footed ferrets, we know that either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men.', 'If the claim that if plants lose vigor and produce less chlorophyll, then either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men has no merit, then rest rooms are located in rest areas.', "Once we know the claim that if plants lose vigor and produce less chlorophyll, then either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men has no merit, we also know that the statement 'rest rooms are located in rest areas' can be considered false."]
|
Provided that some people mistakenly believe that bananas get brown spots, we know that it is not the case that most pests thrive on monocultures and starve when faced with a wide selection of plants. Should it be the case that acid undergoes anaerobic degradations, it follows that if we know that the claim that if some people mistakenly believe that bananas get brown spots, then most pests thrive on monocultures and starve when faced with a wide selection of plants is false, then urbanization has several different, often opposing, effects on environmental sustainability. Assuming sexual desire is a normal and natural feeling for women and men, we know that if we know that the claim that if some people mistakenly believe that bananas get brown spots, then most pests thrive on monocultures and starve when faced with a wide selection of plants is false, then urbanization has several different, often opposing, effects on environmental sustainability. Provided that corporations are consumers, we know that the claim that urbanization has several different, often opposing, effects on environmental sustainability has no merit. corporations are consumers. At least one of two things is true: plants lose vigor and produce less chlorophyll, or prairie dogs are essential to black-footed ferrets. Provided that prairie dogs are essential to black-footed ferrets, we know that either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men. If the claim that if plants lose vigor and produce less chlorophyll, then either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men has no merit, then rest rooms are located in rest areas. Once we know the claim that if plants lose vigor and produce less chlorophyll, then either acid undergoes anaerobic degradations or sexual desire is a normal and natural feeling for women and men has no merit, we also know that the statement 'rest rooms are located in rest areas' can be considered false.
|
It is the case that bananas get brown spots.
|
Those that suggest bananas get brown spots are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Not (If (Not [0].), then [1].).), then [2].).
If [5], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].). [SC2-4]
If [7], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [6], then (Either [4] or [5].).).), then [8].
If (Not (If [6], then (Either [4] or [5].).).), then (Not [8].).
Therefore, If [6], then (Either [4] or [5].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Bananas get brown spots.', 1: 'Most pests thrive on monocultures and starve when faced with a wide selection of plants.', 2: 'Urbanization has several different, often opposing, effects on environmental sustainability.', 3: 'Corporations are consumers.', 4: 'Acid undergoes anaerobic degradations.', 5: 'Sexual desire is a normal and natural feeling for women and men.', 6: 'Plants lose vigor and produce less chlorophyll.', 7: 'Prairie dogs are essential to black-footed ferrets.', 8: 'Rest rooms are located in rest areas.'}
| 6 |
5,587 |
['When it is not the case that if snow fleas are present in forest leaf litter year-round feeding on decaying organic matter, then constitution is the contrivance of man, while government is of divine ordination is true, it follows that if most people hate to admit to being scared, then slight asymmetry can occur because of stress during development, such as illness or starvation.', "The statement 'if most people hate to admit to being scared, then slight asymmetry can occur because of stress during development, such as illness or starvation' can be considered false.", 'One may reasonably assume that if white eyes is a sex linked recessive trait in Drosophila , then snow fleas are present in forest leaf litter year-round feeding on decaying organic matter.', 'Once we know vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, we also know that snow fleas are present in forest leaf litter year-round feeding on decaying organic matter.', 'The claim that if gametes are produced by meiosis , then most glands produce lubricate substances has no merit.', "The statement 'water frequently has excesses of a particular mineral or ingredient such as nitrates' can be considered false.", 'Either one or both of these statements are true: some birds are vegetarians, some prefer meat, and some eat both, or diploid cultivars have two alleles.', 'Provided that some birds are vegetarians, some prefer meat, and some eat both, we know that if it is a common misconception that either if gametes are produced by meiosis , then most glands produce lubricate substances or either white eyes is a sex linked recessive trait in Drosophila or vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, then water frequently has excesses of a particular mineral or ingredient such as nitrates.', 'Once we know diploid cultivars have two alleles, we also know that if it is a common misconception that either if gametes are produced by meiosis , then most glands produce lubricate substances or either white eyes is a sex linked recessive trait in Drosophila or vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, then water frequently has excesses of a particular mineral or ingredient such as nitrates.']
|
When it is not the case that if snow fleas are present in forest leaf litter year-round feeding on decaying organic matter, then constitution is the contrivance of man, while government is of divine ordination is true, it follows that if most people hate to admit to being scared, then slight asymmetry can occur because of stress during development, such as illness or starvation. The statement 'if most people hate to admit to being scared, then slight asymmetry can occur because of stress during development, such as illness or starvation' can be considered false. One may reasonably assume that if white eyes is a sex linked recessive trait in Drosophila , then snow fleas are present in forest leaf litter year-round feeding on decaying organic matter. Once we know vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, we also know that snow fleas are present in forest leaf litter year-round feeding on decaying organic matter. The claim that if gametes are produced by meiosis , then most glands produce lubricate substances has no merit. The statement 'water frequently has excesses of a particular mineral or ingredient such as nitrates' can be considered false. Either one or both of these statements are true: some birds are vegetarians, some prefer meat, and some eat both, or diploid cultivars have two alleles. Provided that some birds are vegetarians, some prefer meat, and some eat both, we know that if it is a common misconception that either if gametes are produced by meiosis , then most glands produce lubricate substances or either white eyes is a sex linked recessive trait in Drosophila or vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, then water frequently has excesses of a particular mineral or ingredient such as nitrates. Once we know diploid cultivars have two alleles, we also know that if it is a common misconception that either if gametes are produced by meiosis , then most glands produce lubricate substances or either white eyes is a sex linked recessive trait in Drosophila or vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone, then water frequently has excesses of a particular mineral or ingredient such as nitrates.
|
The claim that constitution is the contrivance of man, while government is of divine ordination is true.
|
Constitutions reflect the ideologies of a particular country.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [4], then [5].).
Not (If [4], then [5].).
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [1].
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Either [2] or [3].). [SC1-3]
Not (If [6], then [7].).
Therefore, Either [2] or [3]..
[SC1-3]
Modus Tonens:
If (Not (Either (If [6], then [7].) or (Either [2] or [3].).).), then [8]. [SC1-4]
Not [8].
Therefore, Either (If [6], then [7].) or (Either [2] or [3].)..
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (Either (If [6], then [7].) or (Either [2] or [3].).).), then [8].).
If [10], then (If (Not (Either (If [6], then [7].) or (Either [2] or [3].).).), then [8].).
Therefore, If (Not (Either (If [6], then [7].) or (Either [2] or [3].).).), then [8]..
|
{0: 'Constitution is the contrivance of man, while government is of divine ordination.', 1: 'Snow fleas are present in forest leaf litter year-round feeding on decaying organic matter.', 2: 'White eyes is a sex linked recessive trait in Drosophila .', 3: 'Vitamin D is a necessary nutrient, as it is needed for calcium absorption into bone.', 4: 'Most people hate to admit to being scared.', 5: 'Slight asymmetry can occur because of stress during development, such as illness or starvation.', 6: 'Gametes are produced by meiosis .', 7: 'Most glands produce lubricate substances.', 8: 'Water frequently has excesses of a particular mineral or ingredient such as nitrates.', 9: 'Some birds are vegetarians, some prefer meat, and some eat both.', 10: 'Diploid cultivars have two alleles.'}
| 6 |
5,331 |
['Some people mistakenly believe that pyridine is soluble in liquid ammonia.', "Whenever it is true that puffers are classified as fin nippers, 'if it is not true that america has (part) Hawaii, then pyridine is soluble in liquid ammonia' is true.", 'Once we know it is not the case that puffers are classified as fin nippers, we also know that epoxy systems offer superior adhesion, toughness, resiliency, and moisture resistance.', 'When attini ants care and grow fungus gardens for food is true, it follows that the claim that epoxy systems offer superior adhesion, toughness, resiliency, and moisture resistance is false.', 'It is reasonable to believe that adenoids are temporary, start with our first year of life , usually end by the eighth.', "So long as adenoids are temporary, start with our first year of life , usually end by the eighth, 'if most fishes are egg-layers, but many bear living young, then individuals die at early ages' is true.", 'When if most fishes are egg-layers, but many bear living young, then individuals die at early ages is true, it follows that if it is not the case that puffers are classified as fin nippers, then attini ants care and grow fungus gardens for food.']
|
Some people mistakenly believe that pyridine is soluble in liquid ammonia. Whenever it is true that puffers are classified as fin nippers, 'if it is not true that america has (part) Hawaii, then pyridine is soluble in liquid ammonia' is true. Once we know it is not the case that puffers are classified as fin nippers, we also know that epoxy systems offer superior adhesion, toughness, resiliency, and moisture resistance. When attini ants care and grow fungus gardens for food is true, it follows that the claim that epoxy systems offer superior adhesion, toughness, resiliency, and moisture resistance is false. It is reasonable to believe that adenoids are temporary, start with our first year of life , usually end by the eighth. So long as adenoids are temporary, start with our first year of life , usually end by the eighth, 'if most fishes are egg-layers, but many bear living young, then individuals die at early ages' is true. When if most fishes are egg-layers, but many bear living young, then individuals die at early ages is true, it follows that if it is not the case that puffers are classified as fin nippers, then attini ants care and grow fungus gardens for food.
|
The claim that america has (part) Hawaii holds true.
|
The claim that america has (part) Hawaii holds true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [3].
If (Not [2].), then (Not [3].). [SC2-3]
Therefore, [2].
[SC2-3]
Hypothetical Syllogism:
If (Not [2].), then [4]. [SC1-4]
If [4], then (Not [3].).
Therefore, If (Not [2].), then (Not [3].)..
[SC1-4]
Modus Ponens:
If [5], then (If (Not [2].), then [4].). [SC1-5]
[5]
Therefore, If (Not [2].), then [4]..
[SC1-5]
Hypothetical Syllogism:
If [5], then (If [6], then [7].).
If (If [6], then [7].), then (If (Not [2].), then [4].).
Therefore, If [5], then (If (Not [2].), then [4].)..
|
{0: 'America has (part) Hawaii.', 1: 'Pyridine is soluble in liquid ammonia.', 2: 'Puffers are classified as fin nippers.', 3: 'Epoxy systems offer superior adhesion, toughness, resiliency, and moisture resistance.', 4: 'Attini ants care and grow fungus gardens for food.', 5: 'Adenoids are temporary, start with our first year of life , usually end by the eighth.', 6: 'Most fishes are egg-layers, but many bear living young.', 7: 'Individuals die at early ages.'}
| 6 |
5,295 |
['Either one or both of these statements are true: hinckley soils have rock fragments dominated by granite, gneiss, and schist, or if we know that the claim that different cells have different connexins in their gap junctions is false, then the claim that most desert plants have biology is false.', 'When rockslides make for rough hiking is true, it follows that either addiction can begin as a way to cope with uncomfortable situations or if we know that the claim that different cells have different connexins in their gap junctions is false, then most desert plants have biology.', 'It is a simple truth that rockslides make for rough hiking.', "We know that either honey bees are one of the most familiar social insects or the statement 'addiction can begin as a way to cope with uncomfortable situations' can be considered false.", 'It is a common misconception that honey bees are one of the most familiar social insects.', 'There is good reason to believe that either forceps usually require an episiotomy which is a cut enlarging the birth opening or wild pigs reach weight.', 'When forceps usually require an episiotomy which is a cut enlarging the birth opening is true, it follows that the statement, hinckley soils have rock fragments dominated by granite, gneiss, and schist, does not hold.', 'Assuming wild pigs reach weight, we know that the statement, hinckley soils have rock fragments dominated by granite, gneiss, and schist, does not hold.']
|
Either one or both of these statements are true: hinckley soils have rock fragments dominated by granite, gneiss, and schist, or if we know that the claim that different cells have different connexins in their gap junctions is false, then the claim that most desert plants have biology is false. When rockslides make for rough hiking is true, it follows that either addiction can begin as a way to cope with uncomfortable situations or if we know that the claim that different cells have different connexins in their gap junctions is false, then most desert plants have biology. It is a simple truth that rockslides make for rough hiking. We know that either honey bees are one of the most familiar social insects or the statement 'addiction can begin as a way to cope with uncomfortable situations' can be considered false. It is a common misconception that honey bees are one of the most familiar social insects. There is good reason to believe that either forceps usually require an episiotomy which is a cut enlarging the birth opening or wild pigs reach weight. When forceps usually require an episiotomy which is a cut enlarging the birth opening is true, it follows that the statement, hinckley soils have rock fragments dominated by granite, gneiss, and schist, does not hold. Assuming wild pigs reach weight, we know that the statement, hinckley soils have rock fragments dominated by granite, gneiss, and schist, does not hold.
|
It is fair to say that different cells have different connexins in their gap junctions.
|
It is fair to say that different cells have different connexins in their gap junctions.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [7], then (Either [2] or (If (Not [0].), then [1].).).
[7]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [2].).
Not [4].
Therefore, Not [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]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Different cells have different connexins in their gap junctions.', 1: 'Most desert plants have biology.', 2: 'Addiction can begin as a way to cope with uncomfortable situations.', 3: 'Hinckley soils have rock fragments dominated by granite, gneiss, and schist.', 4: 'Honey bees are one of the most familiar social insects.', 5: 'Forceps usually require an episiotomy which is a cut enlarging the birth opening.', 6: 'Wild pigs reach weight.', 7: 'Rockslides make for rough hiking.'}
| 6 |
5,262 |
['We know that either patients need food or bookmarks provide a facile mechanism for indexing points in a book.', "So long as patients need food, 'native plants are for the most part unhybridized' is true.", 'Either one or both of these statements are true: if potential function is derived by the connection of two gates, then pesticides can injure plants, or if native plants are for the most part unhybridized, then jackdaws are especially fond of pumpkins.', "The statement that 'if potential function is derived by the connection of two gates, then pesticides can injure plants' is incorrect.", "One may reasonably assume that if if a rhodium is metal, then thai cuisine is different from Chinese because it's cooked different, then if jackdaws are especially fond of pumpkins, then if direct contact causes diseases, then stratification promotes rapid germination, treatment protects seeds from bird and rodents.", "On the condition that a rhodium is metal, it is definitely the case that thai cuisine is different from Chinese because it's cooked different.", 'One may reasonably assume that if bookmarks provide a facile mechanism for indexing points in a book, then information helps other members.', 'Should it be the case that information helps other members, it follows that native plants are for the most part unhybridized.']
|
We know that either patients need food or bookmarks provide a facile mechanism for indexing points in a book. So long as patients need food, 'native plants are for the most part unhybridized' is true. Either one or both of these statements are true: if potential function is derived by the connection of two gates, then pesticides can injure plants, or if native plants are for the most part unhybridized, then jackdaws are especially fond of pumpkins. The statement that 'if potential function is derived by the connection of two gates, then pesticides can injure plants' is incorrect. One may reasonably assume that if if a rhodium is metal, then thai cuisine is different from Chinese because it's cooked different, then if jackdaws are especially fond of pumpkins, then if direct contact causes diseases, then stratification promotes rapid germination, treatment protects seeds from bird and rodents. On the condition that a rhodium is metal, it is definitely the case that thai cuisine is different from Chinese because it's cooked different. One may reasonably assume that if bookmarks provide a facile mechanism for indexing points in a book, then information helps other members. Should it be the case that information helps other members, it follows that native plants are for the most part unhybridized.
|
Whenever it is true that direct contact causes diseases, 'stratification promotes rapid germination, treatment protects seeds from bird and rodents' is true.
|
The claim that if direct contact causes diseases, then stratification promotes rapid germination, treatment protects seeds from bird and rodents does not reflect reality.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If [2], then [5]. [SC1-2]
If [5], then (If [0], then [1].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [9], then [10].) or (If [2], then [5].).
Not (If [9], then [10].).
Therefore, If [2], then [5]..
[SC2-2]
Modus Ponens:
If (If [7], then [8].), then (If [5], then (If [0], then [1].).).
If [7], then [8].
Therefore, If [5], then (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [2].
If [4], then [2]. [SC3-2]
Therefore, [2].
[SC3-2]
Hypothetical Syllogism:
If [4], then [6].
If [6], then [2].
Therefore, If [4], then [2]..
|
{0: 'Direct contact causes diseases.', 1: 'Stratification promotes rapid germination, treatment protects seeds from bird and rodents.', 2: 'Native plants are for the most part unhybridized.', 3: 'Patients need food.', 4: 'Bookmarks provide a facile mechanism for indexing points in a book.', 5: 'Jackdaws are especially fond of pumpkins.', 6: 'Information helps other members.', 7: 'A rhodium is metal.', 8: "Thai cuisine is different from Chinese because it's cooked different.", 9: 'Potential function is derived by the connection of two gates.', 10: 'Pesticides can injure plants.'}
| 6 |
5,432 |
["It is rational to believe that either arborists are specialists in the care of trees or if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then those that suggest financial services is one of the most important sectors in the modern economy are wrong.", "Either one or both of these statements are true: if atmospheric pressure varies with height above sea level as well as with atmospheric conditions, then plants also provide the animals with shade and shelter, or if those that suggest if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then financial services is one of the most important sectors in the modern economy are wrong, then if migration fuels growth, then birth affects our entire mental, emotional, and spiritual well being.", 'The claim that if atmospheric pressure varies with height above sea level as well as with atmospheric conditions, then plants also provide the animals with shade and shelter is false.', "Assuming those that suggest if those that suggest if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then financial services is one of the most important sectors in the modern economy are wrong, then the claim that if migration fuels growth, then birth affects our entire mental, emotional, and spiritual well being is false are wrong, we know that cactus plants have thorns, locust trees have thorns.", "The statement 'cactus plants have thorns, locust trees have thorns' can be considered false.", "Whenever it is true that most foxes live in hills, 'some people mistakenly believe that arborists are specialists in the care of trees' is true.", 'We can assume that most foxes live in hills.']
|
It is rational to believe that either arborists are specialists in the care of trees or if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then those that suggest financial services is one of the most important sectors in the modern economy are wrong. Either one or both of these statements are true: if atmospheric pressure varies with height above sea level as well as with atmospheric conditions, then plants also provide the animals with shade and shelter, or if those that suggest if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then financial services is one of the most important sectors in the modern economy are wrong, then if migration fuels growth, then birth affects our entire mental, emotional, and spiritual well being. The claim that if atmospheric pressure varies with height above sea level as well as with atmospheric conditions, then plants also provide the animals with shade and shelter is false. Assuming those that suggest if those that suggest if the notion that 'if summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, then an espionage is undercover work' is untrue, then financial services is one of the most important sectors in the modern economy are wrong, then the claim that if migration fuels growth, then birth affects our entire mental, emotional, and spiritual well being is false are wrong, we know that cactus plants have thorns, locust trees have thorns. The statement 'cactus plants have thorns, locust trees have thorns' can be considered false. Whenever it is true that most foxes live in hills, 'some people mistakenly believe that arborists are specialists in the care of trees' is true. We can assume that most foxes live in hills.
|
So long as summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, 'an espionage is undercover work' is true.
|
So long as summer heat beating on the warm ocean evaporates water creating a deep layer of moist air, 'an espionage is undercover work' is true.
|
TRUE
|
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]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then (If [3], then [4].). [SC1-2]
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not (If (Not (If [0], then [1].).), then [2].).), then (If [3], then [4].).).
Not (If [7], then [8].).
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then (If [3], then [4].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not (If [3], then [4].).).).), then [9].
Not [9].
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not (If [3], then [4].).)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If (Not (If [0], then [1].).), then (Not [2].).).
Not [5]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [6], then (Not [5].).
[6]
Therefore, Not [5]..
|
{0: 'Summer heat beating on the warm ocean evaporates water creating a deep layer of moist air.', 1: 'An espionage is undercover work.', 2: 'Financial services is one of the most important sectors in the modern economy.', 3: 'Migration fuels growth.', 4: 'Birth affects our entire mental, emotional, and spiritual well being.', 5: 'Arborists are specialists in the care of trees.', 6: 'Most foxes live in hills.', 7: 'Atmospheric pressure varies with height above sea level as well as with atmospheric conditions.', 8: 'Plants also provide the animals with shade and shelter.', 9: 'Cactus plants have thorns, locust trees have thorns.'}
| 6 |
5,862 |
['We know that either if heat can also destroy a fragrance so keep it from extreme temperatures, then dissociation is low in patients with medically established brain damage or light travels well through air or glass, but poorly through substances like wood or metal.', 'Should it be the case that if heat can also destroy a fragrance so keep it from extreme temperatures, then dissociation is low in patients with medically established brain damage, it follows that essex isa thing.', 'On the condition that it is a common misconception that if light travels well through air or glass, but poorly through substances like wood or metal, then seed plants produce flowers, it is definitely the case that language is the medium in which human beings think and by which they express what they have thought.', "Whenever it is true that many people have eating disorders , 'the claim that language is the medium in which human beings think and by which they express what they have thought has no merit' is true.", 'It is rational to believe that either thinking are used for being or purple loosestrife grows too think to allow birds to nest.', 'On the condition that thinking are used for being, it is definitely the case that either many people have eating disorders or rod is a support and a weapon.', 'On the condition that purple loosestrife grows too think to allow birds to nest, it is definitely the case that either many people have eating disorders or rod is a support and a weapon.', "Should it be the case that if fluorescent bulbs are better sources of light for houseplants, then felonies are crimes generally punishable by more than one year's imprisonment, it follows that the claim that language is the medium in which human beings think and by which they express what they have thought has no merit.", "At least one of two things is true: most colon cancers develop from benign non-cancerous growths called polyps, or if rod is a support and a weapon, then if fluorescent bulbs are better sources of light for houseplants, then felonies are crimes generally punishable by more than one year's imprisonment.", 'The claim that most colon cancers develop from benign non-cancerous growths called polyps has no merit.']
|
We know that either if heat can also destroy a fragrance so keep it from extreme temperatures, then dissociation is low in patients with medically established brain damage or light travels well through air or glass, but poorly through substances like wood or metal. Should it be the case that if heat can also destroy a fragrance so keep it from extreme temperatures, then dissociation is low in patients with medically established brain damage, it follows that essex isa thing. On the condition that it is a common misconception that if light travels well through air or glass, but poorly through substances like wood or metal, then seed plants produce flowers, it is definitely the case that language is the medium in which human beings think and by which they express what they have thought. Whenever it is true that many people have eating disorders , 'the claim that language is the medium in which human beings think and by which they express what they have thought has no merit' is true. It is rational to believe that either thinking are used for being or purple loosestrife grows too think to allow birds to nest. On the condition that thinking are used for being, it is definitely the case that either many people have eating disorders or rod is a support and a weapon. On the condition that purple loosestrife grows too think to allow birds to nest, it is definitely the case that either many people have eating disorders or rod is a support and a weapon. Should it be the case that if fluorescent bulbs are better sources of light for houseplants, then felonies are crimes generally punishable by more than one year's imprisonment, it follows that the claim that language is the medium in which human beings think and by which they express what they have thought has no merit. At least one of two things is true: most colon cancers develop from benign non-cancerous growths called polyps, or if rod is a support and a weapon, then if fluorescent bulbs are better sources of light for houseplants, then felonies are crimes generally punishable by more than one year's imprisonment. The claim that most colon cancers develop from benign non-cancerous growths called polyps has no merit.
|
Either one or both of these statements are true: essex isa thing, or seed plants produce flowers.
|
Either one or both of these statements are true: essex isa thing, or seed plants produce flowers.
|
TRUE
|
Constructive Dilemma:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then [0].
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC3-1]
Modus Tonens:
If (Not (If [4], then [1].).), then [5].
Not [5]. [SC2-2]
Therefore, If [4], then [1]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (Not [5].).
If [7], then (Not [5].). [SC3-3]
Therefore, Not [5]..
[SC1-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either [6] or [7].).
If [11], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC3-3]
Hypothetical Syllogism:
If [7], then (If [8], then [9].). [SC1-4]
If (If [8], then [9].), then (Not [5].).
Therefore, If [7], then (Not [5].)..
[SC1-4]
Disjunctive Syllogism:
Either [12] or (If [7], then (If [8], then [9].).).
Not [12].
Therefore, If [7], then (If [8], then [9].)..
|
{0: 'Essex isa thing.', 1: 'Seed plants produce flowers.', 2: 'Heat can also destroy a fragrance so keep it from extreme temperatures.', 3: 'Dissociation is low in patients with medically established brain damage.', 4: 'Light travels well through air or glass, but poorly through substances like wood or metal.', 5: 'Language is the medium in which human beings think and by which they express what they have thought.', 6: 'Many people have eating disorders .', 7: 'Rod is a support and a weapon.', 8: 'Fluorescent bulbs are better sources of light for houseplants.', 9: "Felonies are crimes generally punishable by more than one year's imprisonment.", 10: 'Thinking are used for being.', 11: 'Purple loosestrife grows too think to allow birds to nest.', 12: 'Most colon cancers develop from benign non-cancerous growths called polyps.'}
| 6 |
5,582 |
['When public transportation depends on local sales taxes enacted by voters to support transit is true, it follows that narwhals only have two vestigial teeth.', 'It is a fact that either scientists know that roots are the most important part of a plant or most metal has atomic radii.', "Whenever it is true that scientists know that roots are the most important part of a plant, 'if blankets also provide victims with emotional comfort and the message that someone cares, then public transportation depends on local sales taxes enacted by voters to support transit' is true.", 'It is rational to agree that endoskeletons have (part) marrow.', 'One may reasonably assume that if some furries live in very hot areas, then if most metal has atomic radii, then if blankets also provide victims with emotional comfort and the message that someone cares, then public transportation depends on local sales taxes enacted by voters to support transit.', 'The claim that some furries live in very hot areas is true.', 'Provided that endoskeletons have (part) marrow, we know that actions occur in responses.', 'Provided that actions occur in responses, we know that blankets also provide victims with emotional comfort and the message that someone cares.']
|
When public transportation depends on local sales taxes enacted by voters to support transit is true, it follows that narwhals only have two vestigial teeth. It is a fact that either scientists know that roots are the most important part of a plant or most metal has atomic radii. Whenever it is true that scientists know that roots are the most important part of a plant, 'if blankets also provide victims with emotional comfort and the message that someone cares, then public transportation depends on local sales taxes enacted by voters to support transit' is true. It is rational to agree that endoskeletons have (part) marrow. One may reasonably assume that if some furries live in very hot areas, then if most metal has atomic radii, then if blankets also provide victims with emotional comfort and the message that someone cares, then public transportation depends on local sales taxes enacted by voters to support transit. The claim that some furries live in very hot areas is true. Provided that endoskeletons have (part) marrow, we know that actions occur in responses. Provided that actions occur in responses, we know that blankets also provide victims with emotional comfort and the message that someone cares.
|
Those that suggest narwhals only have two vestigial teeth are right.
|
The statement that states narwhals only have two vestigial teeth is false.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2] [SC2-2]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [1].).
If [5], then (If [2], then [1].). [SC3-3]
Therefore, If [2], then [1]..
[SC3-3]
Modus Ponens:
If [6], then (If [5], then (If [2], then [1].).).
[6]
Therefore, If [5], then (If [2], then [1].)..
[SC2-2]
Modus Ponens:
If [3], then [2]. [SC1-3]
[3]
Therefore, [2].
[SC1-3]
Hypothetical Syllogism:
If [3], then [7].
If [7], then [2].
Therefore, If [3], then [2]..
|
{0: 'Narwhals only have two vestigial teeth.', 1: 'Public transportation depends on local sales taxes enacted by voters to support transit.', 2: 'Blankets also provide victims with emotional comfort and the message that someone cares.', 3: 'Endoskeletons have (part) marrow.', 4: 'Scientists know that roots are the most important part of a plant.', 5: 'Most metal has atomic radii.', 6: 'Some furries live in very hot areas.', 7: 'Actions occur in responses.'}
| 6 |
5,272 |
['Assuming it is not the case that poverty is a problem that cuts across racial and ethnic boundaries, we know that scales insert their piercing-sucking mouthparts into the plant and feed on the juices.', 'If scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form.', 'We know that at least one of two things is true: many animals have their breeding seasons in spring, or oxidants cause cell damage by creating free radicals.', "Provided that many animals have their breeding seasons in spring, we know that if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue.", 'Either most reptiles engage in fertilization or either investment bankers help corporations finance business transactions or null cells appear quite heterogeneous with respect to surface markers expressed.', "It is a fact that either calcium carbonate is a good antacid but it also provides calcium, which is desirable or if most reptiles engage in fertilization, then if oxidants cause cell damage by creating free radicals, then if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue.", 'Those that suggest calcium carbonate is a good antacid but it also provides calcium, which is desirable are wrong.', "Given that irrigated plants are physiological mature, it can be inferred that if either investment bankers help corporations finance business transactions or null cells appear quite heterogeneous with respect to surface markers expressed, then if oxidants cause cell damage by creating free radicals, then if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue.", 'The idea that irrigated plants are physiological mature is true.']
|
Assuming it is not the case that poverty is a problem that cuts across racial and ethnic boundaries, we know that scales insert their piercing-sucking mouthparts into the plant and feed on the juices. If scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form. We know that at least one of two things is true: many animals have their breeding seasons in spring, or oxidants cause cell damage by creating free radicals. Provided that many animals have their breeding seasons in spring, we know that if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue. Either most reptiles engage in fertilization or either investment bankers help corporations finance business transactions or null cells appear quite heterogeneous with respect to surface markers expressed. It is a fact that either calcium carbonate is a good antacid but it also provides calcium, which is desirable or if most reptiles engage in fertilization, then if oxidants cause cell damage by creating free radicals, then if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue. Those that suggest calcium carbonate is a good antacid but it also provides calcium, which is desirable are wrong. Given that irrigated plants are physiological mature, it can be inferred that if either investment bankers help corporations finance business transactions or null cells appear quite heterogeneous with respect to surface markers expressed, then if oxidants cause cell damage by creating free radicals, then if scales insert their piercing-sucking mouthparts into the plant and feed on the juices, then the notion that 'if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then visceral metastasis occurs in both the lymphoma and leukemic form' is untrue. The idea that irrigated plants are physiological mature is true.
|
Many people rightly believe that poverty is a problem that cuts across racial and ethnic boundaries.
|
It is not the case that poverty is a problem that cuts across racial and ethnic boundaries.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then (If [2], then [3].).
If [1], then (Not (If [2], then [3].).). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then (Not (If [2], then [3].).).).
If [5], then (If [1], then (Not (If [2], then [3].).).). [SC3-3]
Therefore, If [1], then (Not (If [2], then [3].).)..
[SC3-3]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If [5], then (If [1], then (Not (If [2], then [3].).).).). [SC2-4]
If (Either [7] or [8].), then (If [5], then (If [1], then (Not (If [2], then [3].).).).). [SC3-4]
Therefore, If [5], then (If [1], then (Not (If [2], then [3].).).)..
[SC2-4]
Disjunctive Syllogism:
Either [10] or (If [6], then (If [5], then (If [1], then (Not (If [2], then [3].).).).).).
Not [10].
Therefore, If [6], then (If [5], then (If [1], then (Not (If [2], then [3].).).).)..
[SC3-4]
Modus Ponens:
If [9], then (If (Either [7] or [8].), then (If [5], then (If [1], then (Not (If [2], then [3].).).).).).
[9]
Therefore, If (Either [7] or [8].), then (If [5], then (If [1], then (Not (If [2], then [3].).).).)..
|
{0: 'Poverty is a problem that cuts across racial and ethnic boundaries.', 1: 'Scales insert their piercing-sucking mouthparts into the plant and feed on the juices.', 2: 'Wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells.', 3: 'Visceral metastasis occurs in both the lymphoma and leukemic form.', 4: 'Many animals have their breeding seasons in spring.', 5: 'Oxidants cause cell damage by creating free radicals.', 6: 'Most reptiles engage in fertilization.', 7: 'Investment bankers help corporations finance business transactions.', 8: 'Null cells appear quite heterogeneous with respect to surface markers expressed.', 9: 'Irrigated plants are physiological mature.', 10: 'Calcium carbonate is a good antacid but it also provides calcium, which is desirable.'}
| 6 |
5,270 |
['Assuming either pandas also love to do somersaults or a writing is a creation, we know that most sailboats have engines for their doldrums.', "One may reasonably assume that if the statement that 'either most male hippopotamuses weigh pounds or either either pandas also love to do somersaults or a writing is a creation or tree roots pull water from either the unsaturated zone or the water table' is incorrect, then marmots are endotherms e.", "Should it be the case that the statement that 'either most male hippopotamuses weigh pounds or either either pandas also love to do somersaults or a writing is a creation or tree roots pull water from either the unsaturated zone or the water table' is incorrect, it follows that the statement 'marmots are endotherms e' can be considered false.", 'Either either most steroids cause liver damage or gels are used for hair or it is not true that most male hippopotamuses weigh pounds.', 'The statement, either most steroids cause liver damage or gels are used for hair, does not hold.', 'If most sailboats have engines for their doldrums, then if lOVE bears all things, believes all things, hopes all things, endures all things, then aardvarks are mostly solitary and nocturnal.', 'Once we know most sailboats have engines for their doldrums, we also know that it is not the case that if lOVE bears all things, believes all things, hopes all things, endures all things, then aardvarks are mostly solitary and nocturnal.']
|
Assuming either pandas also love to do somersaults or a writing is a creation, we know that most sailboats have engines for their doldrums. One may reasonably assume that if the statement that 'either most male hippopotamuses weigh pounds or either either pandas also love to do somersaults or a writing is a creation or tree roots pull water from either the unsaturated zone or the water table' is incorrect, then marmots are endotherms e. Should it be the case that the statement that 'either most male hippopotamuses weigh pounds or either either pandas also love to do somersaults or a writing is a creation or tree roots pull water from either the unsaturated zone or the water table' is incorrect, it follows that the statement 'marmots are endotherms e' can be considered false. Either either most steroids cause liver damage or gels are used for hair or it is not true that most male hippopotamuses weigh pounds. The statement, either most steroids cause liver damage or gels are used for hair, does not hold. If most sailboats have engines for their doldrums, then if lOVE bears all things, believes all things, hopes all things, endures all things, then aardvarks are mostly solitary and nocturnal. Once we know most sailboats have engines for their doldrums, we also know that it is not the case that if lOVE bears all things, believes all things, hopes all things, endures all things, then aardvarks are mostly solitary and nocturnal.
|
It is the case that tree roots pull water from either the unsaturated zone or the water table.
|
Tree roots need moisture.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either (Either [1] or [2].) or [0].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then [7].
If (Not (Either [3] or (Either (Either [1] or [2].) or [0].).).), then (Not [7].).
Therefore, Either [3] or (Either (Either [1] or [2].) or [0].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Not [3].).
Not (Either [5] or [6].).
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [4].
Not [4]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (If [8], then [9].).
If [4], then (Not (If [8], then [9].).).
Therefore, Not [4]..
|
{0: 'Tree roots pull water from either the unsaturated zone or the water table.', 1: 'Pandas also love to do somersaults.', 2: 'A writing is a creation.', 3: 'Most male hippopotamuses weigh pounds.', 4: 'Most sailboats have engines for their doldrums.', 5: 'Most steroids cause liver damage.', 6: 'Gels are used for hair.', 7: 'Marmots are endotherms e.', 8: 'LOVE bears all things, believes all things, hopes all things, endures all things.', 9: 'Aardvarks are mostly solitary and nocturnal.'}
| 6 |
5,987 |
["So long as optical telescopes are extremely powerful telescopes that magnify images in space, 'if the statement that states liberalism is a family of views rather than a monolithic doctrine is false, then saltwater crocodiles kill prey' is true.", 'Should it be the case that enzymes dissolve skin, it follows that if the statement that states liberalism is a family of views rather than a monolithic doctrine is false, then saltwater crocodiles kill prey.', 'We know that either air pressure causes wind or the claim that saltwater crocodiles kill prey has no merit.', 'Provided that pesticide causes brain damage, we know that either optical telescopes are extremely powerful telescopes that magnify images in space or enzymes dissolve skin.', 'It is fair to say that pesticide causes brain damage.', "Once we know air pressure causes wind, we also know that the statement 'cholesterol plays a key role in the embryonic stage of organ development' can be considered false.", 'It is a fact that either gorillas have teeth or if air pressure causes wind, then cholesterol plays a key role in the embryonic stage of organ development.', 'It is a common misconception that gorillas have teeth.']
|
So long as optical telescopes are extremely powerful telescopes that magnify images in space, 'if the statement that states liberalism is a family of views rather than a monolithic doctrine is false, then saltwater crocodiles kill prey' is true. Should it be the case that enzymes dissolve skin, it follows that if the statement that states liberalism is a family of views rather than a monolithic doctrine is false, then saltwater crocodiles kill prey. We know that either air pressure causes wind or the claim that saltwater crocodiles kill prey has no merit. Provided that pesticide causes brain damage, we know that either optical telescopes are extremely powerful telescopes that magnify images in space or enzymes dissolve skin. It is fair to say that pesticide causes brain damage. Once we know air pressure causes wind, we also know that the statement 'cholesterol plays a key role in the embryonic stage of organ development' can be considered false. It is a fact that either gorillas have teeth or if air pressure causes wind, then cholesterol plays a key role in the embryonic stage of organ development. It is a common misconception that gorillas have teeth.
|
The statement 'liberalism is a family of views rather than a monolithic doctrine' is true.
|
The statement 'liberalism is a family of views rather than a monolithic doctrine' is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (Either [2] or [3].).
[5]
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [6]. [SC1-3]
If [4], then (Not [6].).
Therefore, Not [4]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [4], then [6].).
Not [7].
Therefore, If [4], then [6]..
|
{0: 'Liberalism is a family of views rather than a monolithic doctrine.', 1: 'Saltwater crocodiles kill prey.', 2: 'Optical telescopes are extremely powerful telescopes that magnify images in space.', 3: 'Enzymes dissolve skin.', 4: 'Air pressure causes wind.', 5: 'Pesticide causes brain damage.', 6: 'Cholesterol plays a key role in the embryonic stage of organ development.', 7: 'Gorillas have teeth.'}
| 6 |
5,319 |
["Whenever it is true that foot traffic has different impacts than do motorized vehicles, 'if water has a higher vibration but is very closely related to ice, then those that suggest if universities are used for research, then diverse cultures arise from diverse places are wrong' is true.", 'It is rational to agree that foot traffic has different impacts than do motorized vehicles.', 'Once we know salamanders have round snouts, we also know that water has a higher vibration but is very closely related to ice.', 'One may reasonably assume that if oriental mustard is used mainly in low grade Chinese mustard, then water has a higher vibration but is very closely related to ice.', 'It is a fact that either most women have a period of time where they feel nasty, worthless or depressed or agnosia is the generic term for the inability to perceive certain sensory stimuli.', 'Should it be the case that agnosia is the generic term for the inability to perceive certain sensory stimuli, it follows that either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard.', 'Either typical soils allow rapid, downward movement of water and many nutrients or some groups are especially at risk of poverty.', "Whenever it is true that some groups are especially at risk of poverty, 'if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard' is true.", 'Either one or both of these statements are true: high standards are important in all learning, or either arthrodesis refers to surgery performed on the great toe joint where the joint is fused or allopurinol passes into breast milk.', 'Provided that high standards are important in all learning, we know that if typical soils allow rapid, downward movement of water and many nutrients, then if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard.', 'Once we know either arthrodesis refers to surgery performed on the great toe joint where the joint is fused or allopurinol passes into breast milk, we also know that if typical soils allow rapid, downward movement of water and many nutrients, then if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard.']
|
Whenever it is true that foot traffic has different impacts than do motorized vehicles, 'if water has a higher vibration but is very closely related to ice, then those that suggest if universities are used for research, then diverse cultures arise from diverse places are wrong' is true. It is rational to agree that foot traffic has different impacts than do motorized vehicles. Once we know salamanders have round snouts, we also know that water has a higher vibration but is very closely related to ice. One may reasonably assume that if oriental mustard is used mainly in low grade Chinese mustard, then water has a higher vibration but is very closely related to ice. It is a fact that either most women have a period of time where they feel nasty, worthless or depressed or agnosia is the generic term for the inability to perceive certain sensory stimuli. Should it be the case that agnosia is the generic term for the inability to perceive certain sensory stimuli, it follows that either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard. Either typical soils allow rapid, downward movement of water and many nutrients or some groups are especially at risk of poverty. Whenever it is true that some groups are especially at risk of poverty, 'if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard' is true. Either one or both of these statements are true: high standards are important in all learning, or either arthrodesis refers to surgery performed on the great toe joint where the joint is fused or allopurinol passes into breast milk. Provided that high standards are important in all learning, we know that if typical soils allow rapid, downward movement of water and many nutrients, then if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard. Once we know either arthrodesis refers to surgery performed on the great toe joint where the joint is fused or allopurinol passes into breast milk, we also know that if typical soils allow rapid, downward movement of water and many nutrients, then if most women have a period of time where they feel nasty, worthless or depressed, then either salamanders have round snouts or oriental mustard is used mainly in low grade Chinese mustard.
|
Those that suggest if universities are used for research, then diverse cultures arise from diverse places are wrong.
|
Whenever it is true that universities are used for research, 'diverse cultures arise from diverse places' is true.
|
FALSE
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Ponens:
If [5], then (If [2], then (Not (If [0], then [1].).).).
[5]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then [2].
If [4], then [2].
Therefore, [2].
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].). [SC2-3]
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (Either [3] or [4].).). [SC2-4]
If [9], then (If [6], then (Either [3] or [4].).).
Therefore, If [6], then (Either [3] or [4].)..
[SC2-4]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then (If [8], then (If [6], then (Either [3] or [4].).).).
If (Either [11] or [12].), then (If [8], then (If [6], then (Either [3] or [4].).).).
Therefore, If [8], then (If [6], then (Either [3] or [4].).)..
|
{0: 'Universities are used for research.', 1: 'Diverse cultures arise from diverse places.', 2: 'Water has a higher vibration but is very closely related to ice.', 3: 'Salamanders have round snouts.', 4: 'Oriental mustard is used mainly in low grade Chinese mustard.', 5: 'Foot traffic has different impacts than do motorized vehicles.', 6: 'Most women have a period of time where they feel nasty, worthless or depressed.', 7: 'Agnosia is the generic term for the inability to perceive certain sensory stimuli.', 8: 'Typical soils allow rapid, downward movement of water and many nutrients.', 9: 'Some groups are especially at risk of poverty.', 10: 'High standards are important in all learning.', 11: 'Arthrodesis refers to surgery performed on the great toe joint where the joint is fused.', 12: 'Allopurinol passes into breast milk.'}
| 6 |
5,569 |
['Once we know birds whack into towers during spring or fall migration periods, we also know that disability is, after all, a common condition of life.', 'Assuming disability is, after all, a common condition of life, we know that coyotes breed each winter and give birth in the spring to substantial litters of four to six pups.', "The statement that 'orchids can also be amazing mimics' is incorrect.", 'We know that at least one of two things is true: resistors are very common in electric circuits, or if coyotes breed each winter and give birth in the spring to substantial litters of four to six pups, then either flowers are the reproductive structures of a flowering plant or credit risk is the risk resulting from the financial failure of another person.', 'The claim that resistors are very common in electric circuits is false.', "So long as it is not true that if either flowers are the reproductive structures of a flowering plant or credit risk is the risk resulting from the financial failure of another person, then orchids can also be amazing mimics, 'teamwork is a vital part of organizational life' is true.", 'The claim that teamwork is a vital part of organizational life is false.']
|
Once we know birds whack into towers during spring or fall migration periods, we also know that disability is, after all, a common condition of life. Assuming disability is, after all, a common condition of life, we know that coyotes breed each winter and give birth in the spring to substantial litters of four to six pups. The statement that 'orchids can also be amazing mimics' is incorrect. We know that at least one of two things is true: resistors are very common in electric circuits, or if coyotes breed each winter and give birth in the spring to substantial litters of four to six pups, then either flowers are the reproductive structures of a flowering plant or credit risk is the risk resulting from the financial failure of another person. The claim that resistors are very common in electric circuits is false. So long as it is not true that if either flowers are the reproductive structures of a flowering plant or credit risk is the risk resulting from the financial failure of another person, then orchids can also be amazing mimics, 'teamwork is a vital part of organizational life' is true. The claim that teamwork is a vital part of organizational life is false.
|
The claim that birds whack into towers during spring or fall migration periods has no merit.
|
The claim that birds can hover, they can fly backwards and sideways does not correspond with reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If [2], then [3]. [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then (Either [4] or [5].). [SC1-4]
If (Either [4] or [5].), then [3]. [SC2-4]
Therefore, If [2], then [3]..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (If [2], then (Either [4] or [5].).).
Not [7].
Therefore, If [2], then (Either [4] or [5].)..
[SC2-4]
Modus Tonens:
If (Not (If (Either [4] or [5].), then [3].).), then [6].
Not [6].
Therefore, If (Either [4] or [5].), then [3]..
|
{0: 'Birds whack into towers during spring or fall migration periods.', 1: 'Disability is, after all, a common condition of life.', 2: 'Coyotes breed each winter and give birth in the spring to substantial litters of four to six pups.', 3: 'Orchids can also be amazing mimics.', 4: 'Flowers are the reproductive structures of a flowering plant.', 5: 'Credit risk is the risk resulting from the financial failure of another person.', 6: 'Teamwork is a vital part of organizational life.', 7: 'Resistors are very common in electric circuits.'}
| 6 |
5,643 |
['It is a fact that either regeneration is when part of a living organism is cut off and that part grows back or biblical holiness is the missing doctrine of modern believers.', 'Given that regeneration is when part of a living organism is cut off and that part grows back, it can be inferred that the claim that infected pigs can shed the virus in their faeces for up to three to four weeks after infection has no merit.', "Whenever it is true that it is not true that if the statement, if white bass are locally popular sportfish, then infants need diets, does not hold, then humans have have children, 'most soy food contains other important nutrients' is true.", "Whenever it is true that it is not true that if the statement, if white bass are locally popular sportfish, then infants need diets, does not hold, then humans have have children, 'those that suggest most soy food contains other important nutrients are wrong' is true.", 'Once we know either most insects are located in ground or heavy smokers are more prone to developing ulcers, and have greater trouble getting ulcers to heal, we also know that if humans have have children, then infected pigs can shed the virus in their faeces for up to three to four weeks after infection.', 'Either most insects are located in ground or heavy smokers are more prone to developing ulcers, and have greater trouble getting ulcers to heal.', "So long as snow melt can provide moisture for the next year's crop, 'if biblical holiness is the missing doctrine of modern believers, then the claim that infected pigs can shed the virus in their faeces for up to three to four weeks after infection has no merit' is true.", "It is rational to agree that snow melt can provide moisture for the next year's crop."]
|
It is a fact that either regeneration is when part of a living organism is cut off and that part grows back or biblical holiness is the missing doctrine of modern believers. Given that regeneration is when part of a living organism is cut off and that part grows back, it can be inferred that the claim that infected pigs can shed the virus in their faeces for up to three to four weeks after infection has no merit. Whenever it is true that it is not true that if the statement, if white bass are locally popular sportfish, then infants need diets, does not hold, then humans have have children, 'most soy food contains other important nutrients' is true. Whenever it is true that it is not true that if the statement, if white bass are locally popular sportfish, then infants need diets, does not hold, then humans have have children, 'those that suggest most soy food contains other important nutrients are wrong' is true. Once we know either most insects are located in ground or heavy smokers are more prone to developing ulcers, and have greater trouble getting ulcers to heal, we also know that if humans have have children, then infected pigs can shed the virus in their faeces for up to three to four weeks after infection. Either most insects are located in ground or heavy smokers are more prone to developing ulcers, and have greater trouble getting ulcers to heal. So long as snow melt can provide moisture for the next year's crop, 'if biblical holiness is the missing doctrine of modern believers, then the claim that infected pigs can shed the virus in their faeces for up to three to four weeks after infection has no merit' is true. It is rational to agree that snow melt can provide moisture for the next year's crop.
|
On the condition that white bass are locally popular sportfish, it is definitely the case that infants need diets.
|
Provided that white bass are locally popular sportfish, we know that most infants have mothers
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [5]. [SC1-2]
If [5], then [2]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [5].).), then [6].
If (Not (If (Not (If [0], then [1].).), then [5].).), then (Not [6].).
Therefore, If (Not (If [0], then [1].).), then [5]..
[SC2-2]
Modus Ponens:
If (Either [8] or [9].), then (If [5], then [2].).
Either [8] or [9].
Therefore, If [5], then [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC3-2]
Modus Ponens:
If [7], then (If [4], then (Not [2].).).
[7]
Therefore, If [4], then (Not [2].)..
|
{0: 'White bass are locally popular sportfish.', 1: 'Infants need diets.', 2: 'Infected pigs can shed the virus in their faeces for up to three to four weeks after infection.', 3: 'Regeneration is when part of a living organism is cut off and that part grows back.', 4: 'Biblical holiness is the missing doctrine of modern believers.', 5: 'Humans have have children.', 6: 'Most soy food contains other important nutrients.', 7: "Snow melt can provide moisture for the next year's crop.", 8: 'Most insects are located in ground.', 9: 'Heavy smokers are more prone to developing ulcers, and have greater trouble getting ulcers to heal.'}
| 6 |
5,142 |
['Should it be the case that it is not true that locks are used for privacies, it follows that system is a set of interconnecting components operate together to achieve a specific purpose.', 'Provided that light makes fire, we know that some families possess turtles.', 'When some families possess turtles is true, it follows that either gymnosperms have water-conserving traits, including thick cuticles or temporary disability is the period prior to when an individual is declared permanent and stationary.', "Whenever it is true that it is not true that if it is not true that locks are used for privacies, then those that suggest system is a set of interconnecting components operate together to achieve a specific purpose are wrong, 'some population density varies from moles' is true.", "Whenever it is true that some population density varies from moles, 'light makes fire' is true.", 'We know that at least one of two things is true: either conjugal fidelity is always greater in proportion as marriages are more numerous and less difficult or some states involve energy, or those that suggest either gymnosperms have water-conserving traits, including thick cuticles or temporary disability is the period prior to when an individual is declared permanent and stationary are wrong.', 'The claim that either conjugal fidelity is always greater in proportion as marriages are more numerous and less difficult or some states involve energy does not correspond with reality.']
|
Should it be the case that it is not true that locks are used for privacies, it follows that system is a set of interconnecting components operate together to achieve a specific purpose. Provided that light makes fire, we know that some families possess turtles. When some families possess turtles is true, it follows that either gymnosperms have water-conserving traits, including thick cuticles or temporary disability is the period prior to when an individual is declared permanent and stationary. Whenever it is true that it is not true that if it is not true that locks are used for privacies, then those that suggest system is a set of interconnecting components operate together to achieve a specific purpose are wrong, 'some population density varies from moles' is true. Whenever it is true that some population density varies from moles, 'light makes fire' is true. We know that at least one of two things is true: either conjugal fidelity is always greater in proportion as marriages are more numerous and less difficult or some states involve energy, or those that suggest either gymnosperms have water-conserving traits, including thick cuticles or temporary disability is the period prior to when an individual is declared permanent and stationary are wrong. The claim that either conjugal fidelity is always greater in proportion as marriages are more numerous and less difficult or some states involve energy does not correspond with reality.
|
It is reasonable to believe that locks are used for privacies.
|
Locks are part of lids.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-3]
If [3], then [2].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [8].
If [8], then [3].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC2-2]
Modus Tonens:
If [2], then (Either [4] or [5].).
Not (Either [4] or [5].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not (Either [4] or [5].).).
Not (Either [6] or [7].).
Therefore, Not (Either [4] or [5].)..
|
{0: 'Locks are used for privacies.', 1: 'System is a set of interconnecting components operate together to achieve a specific purpose.', 2: 'Some families possess turtles.', 3: 'Light makes fire.', 4: 'Gymnosperms have water-conserving traits, including thick cuticles.', 5: 'Temporary disability is the period prior to when an individual is declared permanent and stationary.', 6: 'Conjugal fidelity is always greater in proportion as marriages are more numerous and less difficult.', 7: 'Some states involve energy.', 8: 'Some population density varies from moles.'}
| 6 |
5,202 |
["On the condition that the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, it is definitely the case that libertarians are the original 'less government' party.", "Provided that the claim that if the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, then the statement, libertarians are the original 'less government' party, does not hold has no merit, we know that the statement that states either hard water is extremely high in alkaline minerals or silverfishs have (part) quill feathers is false.", "Provided that marigolds grow well in poor soil, we know that if the claim that if the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, then the statement, libertarians are the original 'less government' party, does not hold has no merit, then either hard water is extremely high in alkaline minerals or silverfishs have (part) quill feathers.", 'It is rational to believe that either pepper is known to cause sneezing or companies produce materials.', 'Assuming pepper is known to cause sneezing , we know that either poverty affects the quality of housing for families with children or marigolds grow well in poor soil.', "Whenever it is true that companies produce materials, 'either poverty affects the quality of housing for families with children or marigolds grow well in poor soil' is true.", 'Either if immunizations are the most cost effective way to eliminate preventable childhood diseases, then mastodons have straight tusks or dust is located in closets.', 'Provided that if immunizations are the most cost effective way to eliminate preventable childhood diseases, then mastodons have straight tusks, we know that the claim that poverty affects the quality of housing for families with children does not correspond with reality.', 'One may reasonably assume that if dust is located in closets, then the claim that poverty affects the quality of housing for families with children does not correspond with reality.']
|
On the condition that the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, it is definitely the case that libertarians are the original 'less government' party. Provided that the claim that if the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, then the statement, libertarians are the original 'less government' party, does not hold has no merit, we know that the statement that states either hard water is extremely high in alkaline minerals or silverfishs have (part) quill feathers is false. Provided that marigolds grow well in poor soil, we know that if the claim that if the notion that 'most web browsers show a picture of a lock somewhere on their interface' is untrue, then the statement, libertarians are the original 'less government' party, does not hold has no merit, then either hard water is extremely high in alkaline minerals or silverfishs have (part) quill feathers. It is rational to believe that either pepper is known to cause sneezing or companies produce materials. Assuming pepper is known to cause sneezing , we know that either poverty affects the quality of housing for families with children or marigolds grow well in poor soil. Whenever it is true that companies produce materials, 'either poverty affects the quality of housing for families with children or marigolds grow well in poor soil' is true. Either if immunizations are the most cost effective way to eliminate preventable childhood diseases, then mastodons have straight tusks or dust is located in closets. Provided that if immunizations are the most cost effective way to eliminate preventable childhood diseases, then mastodons have straight tusks, we know that the claim that poverty affects the quality of housing for families with children does not correspond with reality. One may reasonably assume that if dust is located in closets, then the claim that poverty affects the quality of housing for families with children does not correspond with reality.
|
It is rational to agree that most web browsers show a picture of a lock somewhere on their interface.
|
Web browsers can only display a few formats, and servers vary in the formats which they provide.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].). [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not (Either [2] or [3].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].).).
[4] [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or [4]. [SC1-4]
Not [5]. [SC2-4]
Therefore, [4].
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [5] or [4].).
If [10], then (Either [5] or [4].).
Therefore, Either [5] or [4]..
[SC2-4]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (Not [5].).
If [8], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Most web browsers show a picture of a lock somewhere on their interface.', 1: "Libertarians are the original 'less government' party.", 2: 'Hard water is extremely high in alkaline minerals.', 3: 'Silverfishs have (part) quill feathers.', 4: 'Marigolds grow well in poor soil.', 5: 'Poverty affects the quality of housing for families with children.', 6: 'Immunizations are the most cost effective way to eliminate preventable childhood diseases.', 7: 'Mastodons have straight tusks.', 8: 'Dust is located in closets.', 9: 'Pepper is known to cause sneezing .', 10: 'Companies produce materials.'}
| 6 |
5,413 |
['It is a common misconception that birds are animals with beaks and feathers.', 'At least one of two things is true: reindeer eat mostly grass , but eat also almost any other plant , or hummingbirds have (part) brains.', "So long as reindeer eat mostly grass , but eat also almost any other plant , 'if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then pornography is a taboo subject' is true.", "Should it be the case that hummingbirds have (part) brains, it follows that if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then pornography is a taboo subject.", 'Either weasels are located in jungle or sexuality plays a social role for humans beyond simple reproduction.', "If weasels are located in jungle, then if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then the statement that states pornography is a taboo subject is false.", "Assuming sexuality plays a social role for humans beyond simple reproduction, we know that if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then the statement that states pornography is a taboo subject is false.", 'It is a fact that either microtubules are present or fine dust can get much deeper into the sensitive regions of the respiratory tract and lungs.', 'Provided that microtubules are present, we know that if the claim that if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then the claim that barn owls are owls is false is false, then birds are animals with beaks and feathers.', 'On the condition that fine dust can get much deeper into the sensitive regions of the respiratory tract and lungs, it is definitely the case that if the claim that if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then the claim that barn owls are owls is false is false, then birds are animals with beaks and feathers.']
|
It is a common misconception that birds are animals with beaks and feathers. At least one of two things is true: reindeer eat mostly grass , but eat also almost any other plant , or hummingbirds have (part) brains. So long as reindeer eat mostly grass , but eat also almost any other plant , 'if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then pornography is a taboo subject' is true. Should it be the case that hummingbirds have (part) brains, it follows that if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then pornography is a taboo subject. Either weasels are located in jungle or sexuality plays a social role for humans beyond simple reproduction. If weasels are located in jungle, then if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then the statement that states pornography is a taboo subject is false. Assuming sexuality plays a social role for humans beyond simple reproduction, we know that if the statement that 'if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then barn owls are owls' is incorrect, then the statement that states pornography is a taboo subject is false. It is a fact that either microtubules are present or fine dust can get much deeper into the sensitive regions of the respiratory tract and lungs. Provided that microtubules are present, we know that if the claim that if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then the claim that barn owls are owls is false is false, then birds are animals with beaks and feathers. On the condition that fine dust can get much deeper into the sensitive regions of the respiratory tract and lungs, it is definitely the case that if the claim that if the statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold, then the claim that barn owls are owls is false is false, then birds are animals with beaks and feathers.
|
We know that at least one of two things is true: diploid males are known to be produced by inbreeding in many ant, bee, and wasp species, or stands are positions.
|
The statement, either diploid males are known to be produced by inbreeding in many ant, bee, and wasp species or stands are positions, does not hold.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).
If [10], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).).
If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4]. [SC1-2]
Not [4].
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4].).
If [8], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [4]..
|
{0: 'Diploid males are known to be produced by inbreeding in many ant, bee, and wasp species.', 1: 'Stands are positions.', 2: 'Barn owls are owls.', 3: 'Pornography is a taboo subject.', 4: 'Birds are animals with beaks and feathers.', 5: 'Weasels are located in jungle.', 6: 'Sexuality plays a social role for humans beyond simple reproduction.', 7: 'Microtubules are present.', 8: 'Fine dust can get much deeper into the sensitive regions of the respiratory tract and lungs.', 9: 'Reindeer eat mostly grass , but eat also almost any other plant .', 10: 'Hummingbirds have (part) brains.'}
| 6 |
5,196 |
['We know that either equality includes the full and equal enjoyment of all rights and freedoms or vegetative reproduction is the primary mechanism of spread.', "Provided that equality includes the full and equal enjoyment of all rights and freedoms, we know that if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis.", 'There is good reason to believe that either cubs frequently have a white collar around their neck and shoulders or the claim that if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis does not correspond with reality.', 'The claim that cubs frequently have a white collar around their neck and shoulders has no merit.', "Once we know owners involve in development, we also know that if vegetative reproduction is the primary mechanism of spread, then if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis.", "Assuming naturists go to resorts to relax and enjoy themselves, we know that if vegetative reproduction is the primary mechanism of spread, then if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis.", "The statement 'vision is an experience of reality through the medium of sight, therefore it is very tangible' is true.", 'Should it be the case that the claim that if vision is an experience of reality through the medium of sight, therefore it is very tangible, then either owners involve in development or naturists go to resorts to relax and enjoy themselves does not reflect reality, it follows that some hikers have problems with blisters until their feet and boots are broken in.', 'We know that the claim that some hikers have problems with blisters until their feet and boots are broken in is false.']
|
We know that either equality includes the full and equal enjoyment of all rights and freedoms or vegetative reproduction is the primary mechanism of spread. Provided that equality includes the full and equal enjoyment of all rights and freedoms, we know that if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis. There is good reason to believe that either cubs frequently have a white collar around their neck and shoulders or the claim that if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis does not correspond with reality. The claim that cubs frequently have a white collar around their neck and shoulders has no merit. Once we know owners involve in development, we also know that if vegetative reproduction is the primary mechanism of spread, then if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis. Assuming naturists go to resorts to relax and enjoy themselves, we know that if vegetative reproduction is the primary mechanism of spread, then if the notion that 'most vibration is caused by muscular actions' is untrue, then if hawks appear in skies, then sporulation involves chromosome distribution and spore morphogenesis. The statement 'vision is an experience of reality through the medium of sight, therefore it is very tangible' is true. Should it be the case that the claim that if vision is an experience of reality through the medium of sight, therefore it is very tangible, then either owners involve in development or naturists go to resorts to relax and enjoy themselves does not reflect reality, it follows that some hikers have problems with blisters until their feet and boots are broken in. We know that the claim that some hikers have problems with blisters until their feet and boots are broken in is false.
|
most vibration is caused by muscular actions.
|
Vibration is amplified by middle ear bones and transmitted to the oval window.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then (If [1], then [2].).).
If [5], then (If (Not [0].), then (If [1], then [2].).). [SC3-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC3-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If [5], then (If (Not [0].), then (If [1], then [2].).).).
If [7], then (If [5], then (If (Not [0].), then (If [1], then [2].).).).
Therefore, If [5], then (If (Not [0].), then (If [1], then [2].).)..
[SC1-3]
Modus Ponens:
If [8], then (Either [6] or [7].). [SC1-4]
[8]
Therefore, Either [6] or [7]..
[SC1-4]
Modus Tonens:
If (Not (If [8], then (Either [6] or [7].).).), then [9].
Not [9].
Therefore, If [8], then (Either [6] or [7].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not (If [1], then [2].).).
Not [3].
Therefore, Not (If [1], then [2].)..
|
{0: 'Most vibration is caused by muscular actions.', 1: 'Hawks appear in skies.', 2: 'Sporulation involves chromosome distribution and spore morphogenesis.', 3: 'Cubs frequently have a white collar around their neck and shoulders.', 4: 'Equality includes the full and equal enjoyment of all rights and freedoms.', 5: 'Vegetative reproduction is the primary mechanism of spread.', 6: 'Owners involve in development.', 7: 'Naturists go to resorts to relax and enjoy themselves.', 8: 'Vision is an experience of reality through the medium of sight, therefore it is very tangible.', 9: 'Some hikers have problems with blisters until their feet and boots are broken in.'}
| 6 |
5,264 |
['On the condition that colors can have positive and negative impact, it is definitely the case that if those that suggest if smile isa entity, then stars touch the ends of time are wrong, then public schools serve the public, and the public demands that schools be safe.', "Whenever it is true that those that suggest colors can have positive and negative impact are wrong, 'biologists examine quality' is true.", 'One may reasonably assume that if those that suggest colors can have positive and negative impact are wrong, then the claim that biologists examine quality does not correspond with reality.', 'At least one of two things is true: landslide isa victory, or if illunimatin grenades are use during night combat to light up land areas, then if those that suggest if smile isa entity, then stars touch the ends of time are wrong, then the claim that public schools serve the public, and the public demands that schools be safe does not reflect reality.', 'It is not true that landslide isa victory.', 'Either cokes are a major source of earnings or many species produce more young than available habitat can support.', 'One may reasonably assume that if cokes are a major source of earnings, then illunimatin grenades are use during night combat to light up land areas.', 'If many species produce more young than available habitat can support, then illunimatin grenades are use during night combat to light up land areas.']
|
On the condition that colors can have positive and negative impact, it is definitely the case that if those that suggest if smile isa entity, then stars touch the ends of time are wrong, then public schools serve the public, and the public demands that schools be safe. Whenever it is true that those that suggest colors can have positive and negative impact are wrong, 'biologists examine quality' is true. One may reasonably assume that if those that suggest colors can have positive and negative impact are wrong, then the claim that biologists examine quality does not correspond with reality. At least one of two things is true: landslide isa victory, or if illunimatin grenades are use during night combat to light up land areas, then if those that suggest if smile isa entity, then stars touch the ends of time are wrong, then the claim that public schools serve the public, and the public demands that schools be safe does not reflect reality. It is not true that landslide isa victory. Either cokes are a major source of earnings or many species produce more young than available habitat can support. One may reasonably assume that if cokes are a major source of earnings, then illunimatin grenades are use during night combat to light up land areas. If many species produce more young than available habitat can support, then illunimatin grenades are use during night combat to light up land areas.
|
Whenever it is true that smile isa entity, 'stars touch the ends of time' is true.
|
One may reasonably assume that if smile isa entity, then stars produce massive amounts of heat energy and in so doing they also give off light.
|
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]
Modus Ponens:
If [4], then (If (Not (If [0], then [1].).), then [2].).
[4] [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [8].
If (Not [4].), then (Not [8].).
Therefore, [4].
[SC2-1]
Modus Ponens:
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC1-2]
[3] [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [3], then (If (Not (If [0], then [1].).), then (Not [2].).).).
Not [7].
Therefore, If [3], then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then [3].
If [6], then [3].
Therefore, [3].
|
{0: 'Smile isa entity.', 1: 'Stars touch the ends of time.', 2: 'Public schools serve the public, and the public demands that schools be safe.', 3: 'Illunimatin grenades are use during night combat to light up land areas.', 4: 'Colors can have positive and negative impact.', 5: 'Cokes are a major source of earnings.', 6: 'Many species produce more young than available habitat can support.', 7: 'Landslide isa victory.', 8: 'Biologists examine quality.'}
| 6 |
5,531 |
['Assuming nicotine can be as addictive as illegal drugs, including cocaine, we know that if some women have lumpy breasts, then responsibility connotes a system of ethics.', 'We know that either inflation is defined as a general increase in the level of prices or cardiac treadmill tests the heart function before, during and after a controlled period of exercise.', "Whenever it is true that inflation is defined as a general increase in the level of prices, 'either love is what makes life worth living or oil is a precious commodity and it is very expensive' is true.", 'The claim that weeds present in fall and winter help to reduce erosion and to minimize nitrogen leaching has no merit.', 'We know that at least one of two things is true: some population growth involves interaction, or if cardiac treadmill tests the heart function before, during and after a controlled period of exercise, then either love is what makes life worth living or oil is a precious commodity and it is very expensive.', 'The claim that some population growth involves interaction does not reflect reality.', 'When the claim that either weeds present in fall and winter help to reduce erosion and to minimize nitrogen leaching or if either love is what makes life worth living or oil is a precious commodity and it is very expensive, then nicotine can be as addictive as illegal drugs, including cocaine does not correspond with reality is true, it follows that surgery involves opening the eye under sterile conditions in an operating room.', 'It is not the case that surgery involves opening the eye under sterile conditions in an operating room.']
|
Assuming nicotine can be as addictive as illegal drugs, including cocaine, we know that if some women have lumpy breasts, then responsibility connotes a system of ethics. We know that either inflation is defined as a general increase in the level of prices or cardiac treadmill tests the heart function before, during and after a controlled period of exercise. Whenever it is true that inflation is defined as a general increase in the level of prices, 'either love is what makes life worth living or oil is a precious commodity and it is very expensive' is true. The claim that weeds present in fall and winter help to reduce erosion and to minimize nitrogen leaching has no merit. We know that at least one of two things is true: some population growth involves interaction, or if cardiac treadmill tests the heart function before, during and after a controlled period of exercise, then either love is what makes life worth living or oil is a precious commodity and it is very expensive. The claim that some population growth involves interaction does not reflect reality. When the claim that either weeds present in fall and winter help to reduce erosion and to minimize nitrogen leaching or if either love is what makes life worth living or oil is a precious commodity and it is very expensive, then nicotine can be as addictive as illegal drugs, including cocaine does not correspond with reality is true, it follows that surgery involves opening the eye under sterile conditions in an operating room. It is not the case that surgery involves opening the eye under sterile conditions in an operating room.
|
Should it be the case that some women have lumpy breasts, it follows that responsibility connotes a system of ethics.
|
The statement 'if some women have lumpy breasts, then responsibility connotes a system of ethics' can be considered false.
|
FALSE
|
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Either [2] or [3].), then [6]. [SC1-2]
If [6], then (If [0], then [1].).
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If (Either [2] or [3].), then [6].). [SC1-3]
Not [8].
Therefore, If (Either [2] or [3].), then [6]..
[SC1-3]
Modus Tonens:
If (Not (Either [8] or (If (Either [2] or [3].), then [6].).).), then [9].
Not [9].
Therefore, Either [8] or (If (Either [2] or [3].), then [6].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [2] or [3].).
If [5], then (Either [2] or [3].). [SC3-2]
Therefore, Either [2] or [3]..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If [5], then (Either [2] or [3].).).
Not [7].
Therefore, If [5], then (Either [2] or [3].)..
|
{0: 'Some women have lumpy breasts.', 1: 'Responsibility connotes a system of ethics.', 2: 'Love is what makes life worth living.', 3: 'Oil is a precious commodity and it is very expensive.', 4: 'Inflation is defined as a general increase in the level of prices.', 5: 'Cardiac treadmill tests the heart function before, during and after a controlled period of exercise.', 6: 'Nicotine can be as addictive as illegal drugs, including cocaine.', 7: 'Some population growth involves interaction.', 8: 'Weeds present in fall and winter help to reduce erosion and to minimize nitrogen leaching.', 9: 'Surgery involves opening the eye under sterile conditions in an operating room.'}
| 6 |
5,252 |
['If all parents deal with dangerous situations and how they can keep their children safe, then speed is the difference between surviving and thriving in an ever-changing competitive market.', 'Given that the claim that all parents deal with dangerous situations and how they can keep their children safe is false, it can be inferred that nakedness is about disclosure and lived sexuality.', "The statement that 'a vine is a tracheophyte' is incorrect.", 'When the claim that if the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, then tight foreskins are normal in childhood and adolescence does not reflect reality is true, it follows that analytic models describe the system with a set of equations, and are often stochastic.', 'Provided that the claim that if the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, then tight foreskins are normal in childhood and adolescence does not reflect reality, we know that it is not the case that analytic models describe the system with a set of equations, and are often stochastic.', 'Should it be the case that the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, it follows that china is one of the fastest-growing markets in the world for American industrial goods and services.', "On the condition that china is one of the fastest-growing markets in the world for American industrial goods and services, it is definitely the case that the notion that 'tight foreskins are normal in childhood and adolescence' is untrue."]
|
If all parents deal with dangerous situations and how they can keep their children safe, then speed is the difference between surviving and thriving in an ever-changing competitive market. Given that the claim that all parents deal with dangerous situations and how they can keep their children safe is false, it can be inferred that nakedness is about disclosure and lived sexuality. The statement that 'a vine is a tracheophyte' is incorrect. When the claim that if the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, then tight foreskins are normal in childhood and adolescence does not reflect reality is true, it follows that analytic models describe the system with a set of equations, and are often stochastic. Provided that the claim that if the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, then tight foreskins are normal in childhood and adolescence does not reflect reality, we know that it is not the case that analytic models describe the system with a set of equations, and are often stochastic. Should it be the case that the claim that either a vine is a tracheophyte or those that suggest nakedness is about disclosure and lived sexuality are wrong is false, it follows that china is one of the fastest-growing markets in the world for American industrial goods and services. On the condition that china is one of the fastest-growing markets in the world for American industrial goods and services, it is definitely the case that the notion that 'tight foreskins are normal in childhood and adolescence' is untrue.
|
Those that suggest speed is the difference between surviving and thriving in an ever-changing competitive market are right.
|
Speed is a function of shape.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [2].).).), then [4]. [SC1-4]
If (Not (Either [3] or (Not [2].).).), then (Not [4].). [SC2-4]
Therefore, Either [3] or (Not [2].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [3] or (Not [2].).).), then [4].).), then [6].
If (Not (If (Not (Either [3] or (Not [2].).).), then [4].).), then (Not [6].).
Therefore, If (Not (Either [3] or (Not [2].).).), then [4]..
[SC2-4]
Hypothetical Syllogism:
If (Not (Either [3] or (Not [2].).).), then [5].
If [5], then (Not [4].).
Therefore, If (Not (Either [3] or (Not [2].).).), then (Not [4].)..
|
{0: 'Speed is the difference between surviving and thriving in an ever-changing competitive market.', 1: 'All parents deal with dangerous situations and how they can keep their children safe.', 2: 'Nakedness is about disclosure and lived sexuality.', 3: 'A vine is a tracheophyte.', 4: 'Tight foreskins are normal in childhood and adolescence.', 5: 'China is one of the fastest-growing markets in the world for American industrial goods and services.', 6: 'Analytic models describe the system with a set of equations, and are often stochastic.'}
| 6 |
5,576 |
['Assuming the claim that most waterbucks eat annual grass has no merit, we know that informers are capable liars and actors.', 'The statement that states hormone therapy is considered when the cancer has spread outside the prostate is false.', 'At least one of two things is true: most porpoises maintain stability, or a groundnut is a vine.', 'If a groundnut is a vine, then the claim that most women take about four weeks to stop bleeding and to heal inside has no merit.', "Whenever it is true that deer are common, along with the occasional moose, 'either hormone therapy is considered when the cancer has spread outside the prostate or if informers are capable liars and actors, then most women take about four weeks to stop bleeding and to heal inside' is true.", 'It is true that deer are common, along with the occasional moose.', 'Once we know most porpoises maintain stability, we also know that if egg whites are nutritious and can be consumed without restriction, then aromas can effect mood and evoke memories.', 'When if egg whites are nutritious and can be consumed without restriction, then aromas can effect mood and evoke memories is true, it follows that the claim that most women take about four weeks to stop bleeding and to heal inside has no merit.']
|
Assuming the claim that most waterbucks eat annual grass has no merit, we know that informers are capable liars and actors. The statement that states hormone therapy is considered when the cancer has spread outside the prostate is false. At least one of two things is true: most porpoises maintain stability, or a groundnut is a vine. If a groundnut is a vine, then the claim that most women take about four weeks to stop bleeding and to heal inside has no merit. Whenever it is true that deer are common, along with the occasional moose, 'either hormone therapy is considered when the cancer has spread outside the prostate or if informers are capable liars and actors, then most women take about four weeks to stop bleeding and to heal inside' is true. It is true that deer are common, along with the occasional moose. Once we know most porpoises maintain stability, we also know that if egg whites are nutritious and can be consumed without restriction, then aromas can effect mood and evoke memories. When if egg whites are nutritious and can be consumed without restriction, then aromas can effect mood and evoke memories is true, it follows that the claim that most women take about four weeks to stop bleeding and to heal inside has no merit.
|
The statement 'most waterbucks eat annual grass' can be considered true.
|
Waterbucks freely associate with impala and other antelopes.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If [1], then [2].). [SC1-3]
Not [3].
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If [8], then (Either [3] or (If [1], then [2].).).
[8]
Therefore, Either [3] or (If [1], then [2].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [2].). [SC2-3]
If [5], then (Not [2].).
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If [4], then (If [6], then [7].).
If (If [6], then [7].), then (Not [2].).
Therefore, If [4], then (Not [2].)..
|
{0: 'Most waterbucks eat annual grass.', 1: 'Informers are capable liars and actors.', 2: 'Most women take about four weeks to stop bleeding and to heal inside.', 3: 'Hormone therapy is considered when the cancer has spread outside the prostate.', 4: 'Most porpoises maintain stability.', 5: 'A groundnut is a vine.', 6: 'Egg whites are nutritious and can be consumed without restriction.', 7: 'Aromas can effect mood and evoke memories.', 8: 'Deer are common, along with the occasional moose.'}
| 6 |
5,738 |
['When pandas eat bamboo leaves is true, it follows that it is not the case that if humans are descended from ancestors, then boredom is dissatisfaction.', 'Once we know old age is an incurable disease, we also know that it is not the case that if humans are descended from ancestors, then boredom is dissatisfaction.', "So long as the claim that if it is not true that if it is not true that frozen food is located in freezers, then if humans are descended from ancestors, then boredom is dissatisfaction, then some turtles eat grass does not correspond with reality, 'synthesizers tend to be theorists, and diversifiers experimentalists' is true.", "On the condition that the claim that if it is not true that if it is not true that frozen food is located in freezers, then if humans are descended from ancestors, then boredom is dissatisfaction, then some turtles eat grass does not correspond with reality, it is definitely the case that the statement 'synthesizers tend to be theorists, and diversifiers experimentalists' can be considered false.", 'Given that if timetables lead to street protests, then some athletes use floatation tanks to provide relaxation and sensory deprivation, it can be inferred that some people mistakenly believe that some turtles eat grass.', "So long as timetables lead to street protests, 'some athletes use floatation tanks to provide relaxation and sensory deprivation' is true.", 'There is good reason to believe that either some species are specific as to the types of wood they infest, while others are general feeders or either pandas eat bamboo leaves or old age is an incurable disease.', 'Those that suggest some species are specific as to the types of wood they infest, while others are general feeders are wrong.']
|
When pandas eat bamboo leaves is true, it follows that it is not the case that if humans are descended from ancestors, then boredom is dissatisfaction. Once we know old age is an incurable disease, we also know that it is not the case that if humans are descended from ancestors, then boredom is dissatisfaction. So long as the claim that if it is not true that if it is not true that frozen food is located in freezers, then if humans are descended from ancestors, then boredom is dissatisfaction, then some turtles eat grass does not correspond with reality, 'synthesizers tend to be theorists, and diversifiers experimentalists' is true. On the condition that the claim that if it is not true that if it is not true that frozen food is located in freezers, then if humans are descended from ancestors, then boredom is dissatisfaction, then some turtles eat grass does not correspond with reality, it is definitely the case that the statement 'synthesizers tend to be theorists, and diversifiers experimentalists' can be considered false. Given that if timetables lead to street protests, then some athletes use floatation tanks to provide relaxation and sensory deprivation, it can be inferred that some people mistakenly believe that some turtles eat grass. So long as timetables lead to street protests, 'some athletes use floatation tanks to provide relaxation and sensory deprivation' is true. There is good reason to believe that either some species are specific as to the types of wood they infest, while others are general feeders or either pandas eat bamboo leaves or old age is an incurable disease. Those that suggest some species are specific as to the types of wood they infest, while others are general feeders are wrong.
|
It is rational to agree that frozen food is located in freezers.
|
It is rational to agree that frozen food is located in freezers.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).), then [7].
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).), then (Not [7].).
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]..
[SC2-2]
Modus Ponens:
If (If [8], then [9].), then (Not [5].).
If [8], then [9].
Therefore, Not [5]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not (If [1], then [2].).).
If [4], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6].
Therefore, Either [3] or [4]..
|
{0: 'Frozen food is located in freezers.', 1: 'Humans are descended from ancestors.', 2: 'Boredom is dissatisfaction.', 3: 'Pandas eat bamboo leaves.', 4: 'Old age is an incurable disease.', 5: 'Some turtles eat grass.', 6: 'Some species are specific as to the types of wood they infest, while others are general feeders.', 7: 'Synthesizers tend to be theorists, and diversifiers experimentalists.', 8: 'Timetables lead to street protests.', 9: 'Some athletes use floatation tanks to provide relaxation and sensory deprivation.'}
| 6 |
5,299 |
['The claim that death occurs due to paralysis of the muscles needed for breathing holds true.', 'If the statement, if death occurs due to paralysis of the muscles needed for breathing, then vaccination is the single biggest cause of cot death, does not hold, then a serger is a sewing machine.', "When the notion that 'if the statement, if death occurs due to paralysis of the muscles needed for breathing, then vaccination is the single biggest cause of cot death, does not hold, then herbs add nourishment and medicinal properties' is untrue is true, it follows that if drunk drivers are dangerous, then schizophrenia is the most common form of severe mental illness.", 'Those that suggest if drunk drivers are dangerous, then schizophrenia is the most common form of severe mental illness are wrong.', 'Assuming a glucocorticoid is a corticosteroid, we know that if herbs add nourishment and medicinal properties, then the claim that a serger is a sewing machine has no merit.', 'On the condition that it is a common misconception that a glucocorticoid is a corticosteroid, it is definitely the case that most surfaces conduct energy.', 'The statement that states most surfaces conduct energy is false.']
|
The claim that death occurs due to paralysis of the muscles needed for breathing holds true. If the statement, if death occurs due to paralysis of the muscles needed for breathing, then vaccination is the single biggest cause of cot death, does not hold, then a serger is a sewing machine. When the notion that 'if the statement, if death occurs due to paralysis of the muscles needed for breathing, then vaccination is the single biggest cause of cot death, does not hold, then herbs add nourishment and medicinal properties' is untrue is true, it follows that if drunk drivers are dangerous, then schizophrenia is the most common form of severe mental illness. Those that suggest if drunk drivers are dangerous, then schizophrenia is the most common form of severe mental illness are wrong. Assuming a glucocorticoid is a corticosteroid, we know that if herbs add nourishment and medicinal properties, then the claim that a serger is a sewing machine has no merit. On the condition that it is a common misconception that a glucocorticoid is a corticosteroid, it is definitely the case that most surfaces conduct energy. The statement that states most surfaces conduct energy is false.
|
Many people rightly believe that vaccination is the single biggest cause of cot death.
|
Many people rightly believe that vaccination is the single biggest cause of cot death.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [3]. [SC1-3]
If [3], then (Not [2].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then [3].).), then (If [5], then [6].).
Not (If [5], then [6].).
Therefore, If (Not (If [1], then [0].).), then [3]..
[SC2-3]
Modus Ponens:
If [4], then (If [3], then (Not [2].).).
[4] [SC2-4]
Therefore, If [3], then (Not [2].)..
[SC2-4]
Modus Tonens:
If (Not [4].), then [7].
Not [7].
Therefore, [4].
|
{0: 'Vaccination is the single biggest cause of cot death.', 1: 'Death occurs due to paralysis of the muscles needed for breathing.', 2: 'A serger is a sewing machine.', 3: 'Herbs add nourishment and medicinal properties.', 4: 'A glucocorticoid is a corticosteroid.', 5: 'Drunk drivers are dangerous.', 6: 'Schizophrenia is the most common form of severe mental illness.', 7: 'Most surfaces conduct energy.'}
| 6 |
5,740 |
['On the condition that lions are just one type of species that use camouflage, it is definitely the case that if convection carries heat from the mantle to the bottom of the lithosphere, then most antibodies affect pregnancy.', 'Once we know most carnivorous plants eat flying, foraging, or crawling insects, we also know that if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy.', 'We know that either tea is a great source of antioxidants especially flavonoids or lions are just one type of species that use camouflage.', 'The claim that tea is a great source of antioxidants especially flavonoids does not reflect reality.', 'It is a fact that either pork sausages have to be heated until all of the meat inside is cooked or neighbours have (part) human bodies.', 'Assuming pork sausages have to be heated until all of the meat inside is cooked, we know that either most carnivorous plants eat flying, foraging, or crawling insects or either a viceroy is a butterfly or schizophrenia tends to run in families.', 'One may reasonably assume that if neighbours have (part) human bodies, then either most carnivorous plants eat flying, foraging, or crawling insects or either a viceroy is a butterfly or schizophrenia tends to run in families.', 'When the claim that if either a viceroy is a butterfly or schizophrenia tends to run in families, then if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy has no merit is true, it follows that either people desire happy families or boat docks with brush can harbor fish.', 'Given that the claim that if either a viceroy is a butterfly or schizophrenia tends to run in families, then if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy has no merit, it can be inferred that those that suggest either people desire happy families or boat docks with brush can harbor fish are wrong.']
|
On the condition that lions are just one type of species that use camouflage, it is definitely the case that if convection carries heat from the mantle to the bottom of the lithosphere, then most antibodies affect pregnancy. Once we know most carnivorous plants eat flying, foraging, or crawling insects, we also know that if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy. We know that either tea is a great source of antioxidants especially flavonoids or lions are just one type of species that use camouflage. The claim that tea is a great source of antioxidants especially flavonoids does not reflect reality. It is a fact that either pork sausages have to be heated until all of the meat inside is cooked or neighbours have (part) human bodies. Assuming pork sausages have to be heated until all of the meat inside is cooked, we know that either most carnivorous plants eat flying, foraging, or crawling insects or either a viceroy is a butterfly or schizophrenia tends to run in families. One may reasonably assume that if neighbours have (part) human bodies, then either most carnivorous plants eat flying, foraging, or crawling insects or either a viceroy is a butterfly or schizophrenia tends to run in families. When the claim that if either a viceroy is a butterfly or schizophrenia tends to run in families, then if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy has no merit is true, it follows that either people desire happy families or boat docks with brush can harbor fish. Given that the claim that if either a viceroy is a butterfly or schizophrenia tends to run in families, then if convection carries heat from the mantle to the bottom of the lithosphere, then it is not true that most antibodies affect pregnancy has no merit, it can be inferred that those that suggest either people desire happy families or boat docks with brush can harbor fish are wrong.
|
Some people mistakenly believe that convection carries heat from the mantle to the bottom of the lithosphere.
|
The statement, convection is the movement of heat by a moving medium, does not hold.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].).
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or [2].
Not [6].
Therefore, [2].
[SC2-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (If [0], then (Not [1].).).
If (Either [4] or [5].), then (If [0], then (Not [1].).). [SC3-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or (Either [4] or [5].).).
If [8], then (Either [3] or (Either [4] or [5].).).
Therefore, Either [3] or (Either [4] or [5].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (If [0], then (Not [1].).).).), then (Either [9] or [10].).
If (Not (If (Either [4] or [5].), then (If [0], then (Not [1].).).).), then (Not (Either [9] or [10].).).
Therefore, If (Either [4] or [5].), then (If [0], then (Not [1].).)..
|
{0: 'Convection carries heat from the mantle to the bottom of the lithosphere.', 1: 'Most antibodies affect pregnancy.', 2: 'Lions are just one type of species that use camouflage.', 3: 'Most carnivorous plants eat flying, foraging, or crawling insects.', 4: 'A viceroy is a butterfly.', 5: 'Schizophrenia tends to run in families.', 6: 'Tea is a great source of antioxidants especially flavonoids.', 7: 'Pork sausages have to be heated until all of the meat inside is cooked.', 8: 'Neighbours have (part) human bodies.', 9: 'People desire happy families.', 10: 'Boat docks with brush can harbor fish.'}
| 6 |
5,247 |
['Provided that those that suggest either fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus or cardiac rehabilitation is a program for patients who have had a heart attack or stroke are wrong, we know that most doctors save life.', 'Given that those that suggest either fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus or cardiac rehabilitation is a program for patients who have had a heart attack or stroke are wrong, it can be inferred that the claim that most doctors save life does not correspond with reality.', 'Either concurrency constructs in various programming languages or every venomous animal has a mechanism to inject toxins directly into another animal.', "So long as concurrency constructs in various programming languages, 'if fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus, then it is not true that morning glory is a vine' is true.", 'One may reasonably assume that if every venomous animal has a mechanism to inject toxins directly into another animal, then if fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus, then it is not true that morning glory is a vine.', 'If those that suggest if it is a common misconception that if cardiac rehabilitation is a program for patients who have had a heart attack or stroke, then it is not true that morning glory is a vine, then some energy uses batteries are wrong, then leaves have tips.', 'The claim that leaves have tips does not reflect reality.', 'On the condition that some energy uses batteries, it is definitely the case that most biologists find animals.', "The notion that 'most biologists find animals' is untrue."]
|
Provided that those that suggest either fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus or cardiac rehabilitation is a program for patients who have had a heart attack or stroke are wrong, we know that most doctors save life. Given that those that suggest either fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus or cardiac rehabilitation is a program for patients who have had a heart attack or stroke are wrong, it can be inferred that the claim that most doctors save life does not correspond with reality. Either concurrency constructs in various programming languages or every venomous animal has a mechanism to inject toxins directly into another animal. So long as concurrency constructs in various programming languages, 'if fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus, then it is not true that morning glory is a vine' is true. One may reasonably assume that if every venomous animal has a mechanism to inject toxins directly into another animal, then if fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus, then it is not true that morning glory is a vine. If those that suggest if it is a common misconception that if cardiac rehabilitation is a program for patients who have had a heart attack or stroke, then it is not true that morning glory is a vine, then some energy uses batteries are wrong, then leaves have tips. The claim that leaves have tips does not reflect reality. On the condition that some energy uses batteries, it is definitely the case that most biologists find animals. The notion that 'most biologists find animals' is untrue.
|
It is not true that morning glory is a vine.
|
The statement 'morning glory is a vine' is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [5].
If (Not (Either [1] or [2].).), then (Not [5].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then (Not [0].).).
If [4], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then [6]. [SC1-2]
Not [6]. [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then (Not [0].).).), then [6].).), then [7].
Not [7].
Therefore, If (Not (If [2], then (Not [0].).).), then [6]..
[SC2-2]
Modus Tonens:
If [6], then [8].
Not [8].
Therefore, Not [6]..
|
{0: 'Morning glory is a vine.', 1: 'Fish emulsion is a good and inexpensive fertilizer high in nitrogen and phosphorus.', 2: 'Cardiac rehabilitation is a program for patients who have had a heart attack or stroke.', 3: 'Concurrency constructs in various programming languages.', 4: 'Every venomous animal has a mechanism to inject toxins directly into another animal.', 5: 'Most doctors save life.', 6: 'Some energy uses batteries.', 7: 'Leaves have tips.', 8: 'Most biologists find animals.'}
| 6 |
5,926 |
['Either one or both of these statements are true: body boardings are water activities, or if female bats roost with their young, males remain separate until the newborn bats are weaned, then fine roots have other functions besides absorption, including transport of water and nutrients.', 'Some people mistakenly believe that body boardings are water activities.', 'At least one of two things is true: if subdued colors are best for clothes, shoes, and ties, then civets have (part) corpi, or if some lakes carry smallmouth bass, then smoking also affects others besides the smoker.', "When if some lakes carry smallmouth bass, then smoking also affects others besides the smoker is true, it follows that if female bats roost with their young, males remain separate until the newborn bats are weaned, then the statement 'fine roots have other functions besides absorption, including transport of water and nutrients' can be considered false.", "One may reasonably assume that if the claim that if if subdued colors are best for clothes, shoes, and ties, then civets have (part) corpi, then if female bats roost with their young, males remain separate until the newborn bats are weaned, then the statement 'fine roots have other functions besides absorption, including transport of water and nutrients' can be considered false does not correspond with reality, then men wear caps only when walking.", 'Should it be the case that a circuit board is a circuit, it follows that we know that the claim that men wear caps only when walking is false.', 'Provided that globalization is the narcissism of a superpower in a one superpower world, we know that we know that the claim that men wear caps only when walking is false.', 'Either one or both of these statements are true: if predictions play a major role in science because they provide a way to test ideas, then herbivores occupy areas, or either a circuit board is a circuit or globalization is the narcissism of a superpower in a one superpower world.', 'It is not the case that if predictions play a major role in science because they provide a way to test ideas, then herbivores occupy areas.']
|
Either one or both of these statements are true: body boardings are water activities, or if female bats roost with their young, males remain separate until the newborn bats are weaned, then fine roots have other functions besides absorption, including transport of water and nutrients. Some people mistakenly believe that body boardings are water activities. At least one of two things is true: if subdued colors are best for clothes, shoes, and ties, then civets have (part) corpi, or if some lakes carry smallmouth bass, then smoking also affects others besides the smoker. When if some lakes carry smallmouth bass, then smoking also affects others besides the smoker is true, it follows that if female bats roost with their young, males remain separate until the newborn bats are weaned, then the statement 'fine roots have other functions besides absorption, including transport of water and nutrients' can be considered false. One may reasonably assume that if the claim that if if subdued colors are best for clothes, shoes, and ties, then civets have (part) corpi, then if female bats roost with their young, males remain separate until the newborn bats are weaned, then the statement 'fine roots have other functions besides absorption, including transport of water and nutrients' can be considered false does not correspond with reality, then men wear caps only when walking. Should it be the case that a circuit board is a circuit, it follows that we know that the claim that men wear caps only when walking is false. Provided that globalization is the narcissism of a superpower in a one superpower world, we know that we know that the claim that men wear caps only when walking is false. Either one or both of these statements are true: if predictions play a major role in science because they provide a way to test ideas, then herbivores occupy areas, or either a circuit board is a circuit or globalization is the narcissism of a superpower in a one superpower world. It is not the case that if predictions play a major role in science because they provide a way to test ideas, then herbivores occupy areas.
|
The claim that female bats roost with their young, males remain separate until the newborn bats are weaned is false.
|
It is a simple truth that female bats roost with their young, males remain separate until the newborn bats are weaned.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2].
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or (If [5], then [6].).
If (If [3], then [4].), then (If [0], then (Not [1].).). [SC2-2]
If (If [5], then [6].), then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Tonens:
If (Not (If (If [3], then [4].), then (If [0], then (Not [1].).).).), then [7].
Not [7]. [SC2-3]
Therefore, If (If [3], then [4].), then (If [0], then (Not [1].).)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9]. [SC1-4]
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
[SC1-4]
Disjunctive Syllogism:
Either (If [10], then [11].) or (Either [8] or [9].).
Not (If [10], then [11].).
Therefore, Either [8] or [9]..
|
{0: 'Female bats roost with their young, males remain separate until the newborn bats are weaned.', 1: 'Fine roots have other functions besides absorption, including transport of water and nutrients.', 2: 'Body boardings are water activities.', 3: 'Subdued colors are best for clothes, shoes, and ties.', 4: 'Civets have (part) corpi.', 5: 'Some lakes carry smallmouth bass.', 6: 'Smoking also affects others besides the smoker.', 7: 'Men wear caps only when walking.', 8: 'A circuit board is a circuit.', 9: 'Globalization is the narcissism of a superpower in a one superpower world.', 10: 'Predictions play a major role in science because they provide a way to test ideas.', 11: 'Herbivores occupy areas.'}
| 6 |
5,412 |
['Those that suggest control trials assess effects are right.', 'Many people rightly believe that influenza is just a bad cold with more fever and muscle aches.', "Provided that the notion that 'if influenza is just a bad cold with more fever and muscle aches, then if control trials assess effects, then either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over' is untrue, we know that the claim that either solutions have lower concentration or schnauzers are in the upper middle class of their world has no merit.", "If the claim that if the notion that 'if influenza is just a bad cold with more fever and muscle aches, then if control trials assess effects, then either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over' is untrue, then either solutions have lower concentration or schnauzers are in the upper middle class of their world has no merit, then cholesterol is found only in foods that come from animals.", 'It is a fact that either marasmic kwashiorkor is a deficiency of both protein and calories or canines produce no harmful methane or effluent.', 'On the condition that canines produce no harmful methane or effluent, it is definitely the case that those that suggest cholesterol is found only in foods that come from animals are wrong.', 'Assuming the claim that if marasmic kwashiorkor is a deficiency of both protein and calories, then those that suggest cholesterol is found only in foods that come from animals are wrong has no merit, we know that if a national park is a park, then communities are made up of species adapted to the conditions of that community.', 'Should it be the case that the claim that if marasmic kwashiorkor is a deficiency of both protein and calories, then those that suggest cholesterol is found only in foods that come from animals are wrong has no merit, it follows that we know that the claim that if a national park is a park, then communities are made up of species adapted to the conditions of that community is false.']
|
Those that suggest control trials assess effects are right. Many people rightly believe that influenza is just a bad cold with more fever and muscle aches. Provided that the notion that 'if influenza is just a bad cold with more fever and muscle aches, then if control trials assess effects, then either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over' is untrue, we know that the claim that either solutions have lower concentration or schnauzers are in the upper middle class of their world has no merit. If the claim that if the notion that 'if influenza is just a bad cold with more fever and muscle aches, then if control trials assess effects, then either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over' is untrue, then either solutions have lower concentration or schnauzers are in the upper middle class of their world has no merit, then cholesterol is found only in foods that come from animals. It is a fact that either marasmic kwashiorkor is a deficiency of both protein and calories or canines produce no harmful methane or effluent. On the condition that canines produce no harmful methane or effluent, it is definitely the case that those that suggest cholesterol is found only in foods that come from animals are wrong. Assuming the claim that if marasmic kwashiorkor is a deficiency of both protein and calories, then those that suggest cholesterol is found only in foods that come from animals are wrong has no merit, we know that if a national park is a park, then communities are made up of species adapted to the conditions of that community. Should it be the case that the claim that if marasmic kwashiorkor is a deficiency of both protein and calories, then those that suggest cholesterol is found only in foods that come from animals are wrong has no merit, it follows that we know that the claim that if a national park is a park, then communities are made up of species adapted to the conditions of that community is false.
|
It is rational to believe that either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over.
|
The statement 'either ministers head executive departments of the government or volcanoes grow with steam and ash from the lava about to spew over' can be considered false.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (Either [0] or [1].).). [SC1-2]
[3]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [2], then (Either [0] or [1].).).).), then (Either [4] or [5].). [SC1-3]
If (Not (If [3], then (If [2], then (Either [0] or [1].).).).), then (Not (Either [4] or [5].).).
Therefore, If [3], then (If [2], then (Either [0] or [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [3], then (If [2], then (Either [0] or [1].).).).), then (Either [4] or [5].).).), then [6].
Not [6]. [SC2-4]
Therefore, If (Not (If [3], then (If [2], then (Either [0] or [1].).).).), then (Either [4] or [5].)..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].). [SC2-5]
If [8], then (Not [6].).
Therefore, Not [6]..
[SC2-5]
Reductio Ad Absurdum:
If (Not (If [7], then (Not [6].).).), then (If [9], then [10].).
If (Not (If [7], then (Not [6].).).), then (Not (If [9], then [10].).).
Therefore, If [7], then (Not [6].)..
|
{0: 'Ministers head executive departments of the government.', 1: 'Volcanoes grow with steam and ash from the lava about to spew over.', 2: 'Control trials assess effects.', 3: 'Influenza is just a bad cold with more fever and muscle aches.', 4: 'Solutions have lower concentration.', 5: 'Schnauzers are in the upper middle class of their world.', 6: 'Cholesterol is found only in foods that come from animals.', 7: 'Marasmic kwashiorkor is a deficiency of both protein and calories.', 8: 'Canines produce no harmful methane or effluent.', 9: 'A national park is a park.', 10: 'Communities are made up of species adapted to the conditions of that community.'}
| 6 |
5,389 |
['One may reasonably assume that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals.', 'Should it be the case that the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, it follows that it is a common misconception that foster parents are paid by the state to look after the children .', 'It is a fact that either hookworms have (part) plasma membranes or most crimson clover provides early spring nitrogen.', 'Assuming hookworms have (part) plasma membranes, we know that either fireplaces have (part) sections or butternut is part of butternut.', 'Given that most crimson clover provides early spring nitrogen, it can be inferred that either fireplaces have (part) sections or butternut is part of butternut.', "So long as science works with concepts, 'if fireplaces have (part) sections, then if the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, then foster parents are paid by the state to look after the children ' is true.", 'It is rational to agree that science works with concepts.', "When the notion that 'if butternut is part of butternut, then if the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, then foster parents are paid by the state to look after the children ' is untrue is true, it follows that brown trout are very competitive and tend to crowd out other fish, including other trout.", 'It is not true that brown trout are very competitive and tend to crowd out other fish, including other trout.']
|
One may reasonably assume that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals. Should it be the case that the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, it follows that it is a common misconception that foster parents are paid by the state to look after the children . It is a fact that either hookworms have (part) plasma membranes or most crimson clover provides early spring nitrogen. Assuming hookworms have (part) plasma membranes, we know that either fireplaces have (part) sections or butternut is part of butternut. Given that most crimson clover provides early spring nitrogen, it can be inferred that either fireplaces have (part) sections or butternut is part of butternut. So long as science works with concepts, 'if fireplaces have (part) sections, then if the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, then foster parents are paid by the state to look after the children ' is true. It is rational to agree that science works with concepts. When the notion that 'if butternut is part of butternut, then if the claim that if some people mistakenly believe that green lines are the diagonals of squares, making it possible to construct many more zome shapes, then we know that the claim that either female beetles begin laying eggs about one week following their emergence from the soil or jackrabbits are an important food source for many animals is false does not reflect reality, then foster parents are paid by the state to look after the children ' is untrue is true, it follows that brown trout are very competitive and tend to crowd out other fish, including other trout. It is not true that brown trout are very competitive and tend to crowd out other fish, including other trout.
|
The statement 'green lines are the diagonals of squares, making it possible to construct many more zome shapes' can be considered true.
|
Green lines represent the boundaries between the two hemispheres.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3]. [SC1-2]
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [3].).
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].). [SC2-3]
If [5], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].). [SC3-3]
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [4] or [5].).
If [8], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-3]
Modus Ponens:
If [6], then (If [4], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).).
[6]
Therefore, If [4], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].)..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].).).), then [9].
Not [9].
Therefore, If [5], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].)..
|
{0: 'Green lines are the diagonals of squares, making it possible to construct many more zome shapes.', 1: 'Female beetles begin laying eggs about one week following their emergence from the soil.', 2: 'Jackrabbits are an important food source for many animals.', 3: 'Foster parents are paid by the state to look after the children .', 4: 'Fireplaces have (part) sections.', 5: 'Butternut is part of butternut.', 6: 'Science works with concepts.', 7: 'Hookworms have (part) plasma membranes.', 8: 'Most crimson clover provides early spring nitrogen.', 9: 'Brown trout are very competitive and tend to crowd out other fish, including other trout.'}
| 6 |
5,796 |
['The statement that states few species match tilapias in terms of their potential to become the cultured fish of the future is right.', 'It is a fact that either hybrid technology works in small cars and in very large vehicles as well or produce electricity has advantage.', 'When hybrid technology works in small cars and in very large vehicles as well is true, it follows that if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then special conditions can yield monomers such as ethylene and propylene.', "Given that the statement 'if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then it is not the case that special conditions can yield monomers such as ethylene and propylene' can be considered false, it can be inferred that room temperature affects the potential steam temperature.", 'Given that putty is filler, it can be inferred that if produce electricity has advantage, then if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then special conditions can yield monomers such as ethylene and propylene.', 'The idea that putty is filler is true.', "Once we know the statement, if the statement 'if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then it is not the case that special conditions can yield monomers such as ethylene and propylene' can be considered false, then we know that the claim that room temperature affects the potential steam temperature is false, does not hold, we also know that reading cause ideas.", "The notion that 'reading cause ideas' is untrue."]
|
The statement that states few species match tilapias in terms of their potential to become the cultured fish of the future is right. It is a fact that either hybrid technology works in small cars and in very large vehicles as well or produce electricity has advantage. When hybrid technology works in small cars and in very large vehicles as well is true, it follows that if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then special conditions can yield monomers such as ethylene and propylene. Given that the statement 'if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then it is not the case that special conditions can yield monomers such as ethylene and propylene' can be considered false, it can be inferred that room temperature affects the potential steam temperature. Given that putty is filler, it can be inferred that if produce electricity has advantage, then if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then special conditions can yield monomers such as ethylene and propylene. The idea that putty is filler is true. Once we know the statement, if the statement 'if the claim that if few species match tilapias in terms of their potential to become the cultured fish of the future, then cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema does not correspond with reality, then it is not the case that special conditions can yield monomers such as ethylene and propylene' can be considered false, then we know that the claim that room temperature affects the potential steam temperature is false, does not hold, we also know that reading cause ideas. The notion that 'reading cause ideas' is untrue.
|
The claim that cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema is true.
|
The claim that cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not (If [1], then [0].).), then [2].).
If [4], then (If (Not (If [1], then [0].).), then [2].). [SC3-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC3-3]
Modus Ponens:
If [6], then (If [4], then (If (Not (If [1], then [0].).), then [2].).).
[6]
Therefore, If [4], then (If (Not (If [1], then [0].).), then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then [5].
If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Not [5].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Not [5].).).), then [7].
Not [7].
Therefore, If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Not [5].)..
|
{0: 'Cigarettes are the most common cause of lung diseases like chronic bronchitis and emphysema.', 1: 'Few species match tilapias in terms of their potential to become the cultured fish of the future.', 2: 'Special conditions can yield monomers such as ethylene and propylene.', 3: 'Hybrid technology works in small cars and in very large vehicles as well.', 4: 'Produce electricity has advantage.', 5: 'Room temperature affects the potential steam temperature.', 6: 'Putty is filler.', 7: 'Reading cause ideas.'}
| 6 |
5,601 |
["The statement 'if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism' can be considered false.", 'Once we know it is not the case that most species grow best when given some midday shade or afternoon shade, we also know that organic matter does several important things for the root growth of azaleas.', 'Should it be the case that it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, it follows that the claim that an inerrancy is infallibility does not correspond with reality.', 'Provided that air bubbles rise, we know that if it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, then an inerrancy is infallibility.', 'Should it be the case that fire is the purest form of substance, it follows that if it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, then an inerrancy is infallibility.', 'Either human beings tend to rise to the level of their thinking or tornado is natural hazards.', "Whenever it is true that human beings tend to rise to the level of their thinking, 'either air bubbles rise or fire is the purest form of substance' is true.", 'If foxes have food habits, then if tornado is natural hazards, then either air bubbles rise or fire is the purest form of substance.', 'It is true that foxes have food habits.']
|
The statement 'if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism' can be considered false. Once we know it is not the case that most species grow best when given some midday shade or afternoon shade, we also know that organic matter does several important things for the root growth of azaleas. Should it be the case that it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, it follows that the claim that an inerrancy is infallibility does not correspond with reality. Provided that air bubbles rise, we know that if it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, then an inerrancy is infallibility. Should it be the case that fire is the purest form of substance, it follows that if it is a common misconception that if organic matter does several important things for the root growth of azaleas, then if drawer isa container, then any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism, then an inerrancy is infallibility. Either human beings tend to rise to the level of their thinking or tornado is natural hazards. Whenever it is true that human beings tend to rise to the level of their thinking, 'either air bubbles rise or fire is the purest form of substance' is true. If foxes have food habits, then if tornado is natural hazards, then either air bubbles rise or fire is the purest form of substance. It is true that foxes have food habits.
|
It is rational to agree that most species grow best when given some midday shade or afternoon shade.
|
It is rational to agree that most species grow best when given some midday shade or afternoon shade.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then (If [1], then [2].). [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [1], then [2].).).), then [4]. [SC1-3]
If (Not (If [3], then (If [1], then [2].).).), then (Not [4].).
Therefore, If [3], then (If [1], then [2].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (If (Not (If [3], then (If [1], then [2].).).), then [4].).
If [6], then (If (Not (If [3], then (If [1], then [2].).).), then [4].).
Therefore, If (Not (If [3], then (If [1], then [2].).).), then [4]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].). [SC3-5]
Therefore, Either [5] or [6]..
[SC3-5]
Modus Ponens:
If [9], then (If [8], then (Either [5] or [6].).).
[9]
Therefore, If [8], then (Either [5] or [6].)..
|
{0: 'Most species grow best when given some midday shade or afternoon shade.', 1: 'Drawer isa container.', 2: 'Any gene encoding a protein that influences alcohol action becomes a candidate gene for alcoholism.', 3: 'Organic matter does several important things for the root growth of azaleas.', 4: 'An inerrancy is infallibility.', 5: 'Air bubbles rise.', 6: 'Fire is the purest form of substance.', 7: 'Human beings tend to rise to the level of their thinking.', 8: 'Tornado is natural hazards.', 9: 'Foxes have food habits.'}
| 6 |
5,654 |
['It is rational to believe that either either trees represent one of the largest causes of power outages in California or an answering machine is an electronic device or meat is also wasteful in terms of the energy and cost required to produce it.', 'Many people rightly believe that love is the warmth and security of home and heart and hearth.', 'On the condition that the claim that if love is the warmth and security of home and heart and hearth, then those that suggest either trees represent one of the largest causes of power outages in California or an answering machine is an electronic device are wrong is false, it is definitely the case that deer are sociable, but only within their own sex.', 'One may reasonably assume that if lasers are models of meticulous manufacturing processes and precision alignment, then it is not true that deer are sociable, but only within their own sex.', 'Assuming either leather is a remarkable product of nature that is soft and supple, while being strong and durable or most goats require vitamins, we know that either either gannets are seabirds about the size of a goose, with long, tapered bills and pointed tails or some chemicals are located in oysters or lasers are models of meticulous manufacturing processes and precision alignment.', 'Either leather is a remarkable product of nature that is soft and supple, while being strong and durable or most goats require vitamins.', 'Given that either gannets are seabirds about the size of a goose, with long, tapered bills and pointed tails or some chemicals are located in oysters, it can be inferred that footballers have (part) arms.', 'Should it be the case that footballers have (part) arms, it follows that it is not true that deer are sociable, but only within their own sex.']
|
It is rational to believe that either either trees represent one of the largest causes of power outages in California or an answering machine is an electronic device or meat is also wasteful in terms of the energy and cost required to produce it. Many people rightly believe that love is the warmth and security of home and heart and hearth. On the condition that the claim that if love is the warmth and security of home and heart and hearth, then those that suggest either trees represent one of the largest causes of power outages in California or an answering machine is an electronic device are wrong is false, it is definitely the case that deer are sociable, but only within their own sex. One may reasonably assume that if lasers are models of meticulous manufacturing processes and precision alignment, then it is not true that deer are sociable, but only within their own sex. Assuming either leather is a remarkable product of nature that is soft and supple, while being strong and durable or most goats require vitamins, we know that either either gannets are seabirds about the size of a goose, with long, tapered bills and pointed tails or some chemicals are located in oysters or lasers are models of meticulous manufacturing processes and precision alignment. Either leather is a remarkable product of nature that is soft and supple, while being strong and durable or most goats require vitamins. Given that either gannets are seabirds about the size of a goose, with long, tapered bills and pointed tails or some chemicals are located in oysters, it can be inferred that footballers have (part) arms. Should it be the case that footballers have (part) arms, it follows that it is not true that deer are sociable, but only within their own sex.
|
We can assume that meat is also wasteful in terms of the energy and cost required to produce it.
|
Meat is far and away the primary source of fat, and of saturated fat in the American diet.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0].
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).). [SC1-2]
[3]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (Not (Either [1] or [2].).).).), then [4].
Not [4]. [SC2-3]
Therefore, If [3], then (Not (Either [1] or [2].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7]. [SC1-4]
If (Either [5] or [6].), then (Not [4].). [SC2-4]
If [7], then (Not [4].).
Therefore, Not [4]..
[SC1-4]
Modus Ponens:
If (Either [9] or [10].), then (Either (Either [5] or [6].) or [7].).
Either [9] or [10].
Therefore, Either (Either [5] or [6].) or [7]..
[SC2-4]
Hypothetical Syllogism:
If (Either [5] or [6].), then [8].
If [8], then (Not [4].).
Therefore, If (Either [5] or [6].), then (Not [4].)..
|
{0: 'Meat is also wasteful in terms of the energy and cost required to produce it.', 1: 'Trees represent one of the largest causes of power outages in California.', 2: 'An answering machine is an electronic device.', 3: 'Love is the warmth and security of home and heart and hearth.', 4: 'Deer are sociable, but only within their own sex.', 5: 'Gannets are seabirds about the size of a goose, with long, tapered bills and pointed tails.', 6: 'Some chemicals are located in oysters.', 7: 'Lasers are models of meticulous manufacturing processes and precision alignment.', 8: 'Footballers have (part) arms.', 9: 'Leather is a remarkable product of nature that is soft and supple, while being strong and durable.', 10: 'Most goats require vitamins.'}
| 6 |
5,261 |
['Once we know it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, we also know that the statement that states winds flow in order to more evenly distribute heat between the equator and polar regions is false.', 'Should it be the case that graphics play an important part in the design of Web pages, it follows that if the claim that incinerators waste energy compared to recycling is false, then the claim that if most women maintain weight, then turnovers are dishs does not reflect reality.', 'It is a simple truth that graphics play an important part in the design of Web pages.', "Given that the statement that 'if it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, then winds flow in order to more evenly distribute heat between the equator and polar regions' is incorrect, it can be inferred that if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens.", "So long as the statement that 'if it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, then winds flow in order to more evenly distribute heat between the equator and polar regions' is incorrect, 'few fish live beyond the fourth year' is true.", 'We know that either if moons are bodies which orbit around planets, then cycads are important for landscaping, and add nitrogen to the soil for other plants or current research is concerned with the anti-tumoural activities of dicarboxylic acids.', "Should it be the case that if moons are bodies which orbit around planets, then cycads are important for landscaping, and add nitrogen to the soil for other plants, it follows that if few fish live beyond the fourth year, then the notion that 'if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens' is untrue.", "Whenever it is true that current research is concerned with the anti-tumoural activities of dicarboxylic acids, 'if few fish live beyond the fourth year, then the notion that 'if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens' is untrue' is true."]
|
Once we know it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, we also know that the statement that states winds flow in order to more evenly distribute heat between the equator and polar regions is false. Should it be the case that graphics play an important part in the design of Web pages, it follows that if the claim that incinerators waste energy compared to recycling is false, then the claim that if most women maintain weight, then turnovers are dishs does not reflect reality. It is a simple truth that graphics play an important part in the design of Web pages. Given that the statement that 'if it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, then winds flow in order to more evenly distribute heat between the equator and polar regions' is incorrect, it can be inferred that if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens. So long as the statement that 'if it is not true that if the claim that incinerators waste energy compared to recycling is false, then if most women maintain weight, then turnovers are dishs, then winds flow in order to more evenly distribute heat between the equator and polar regions' is incorrect, 'few fish live beyond the fourth year' is true. We know that either if moons are bodies which orbit around planets, then cycads are important for landscaping, and add nitrogen to the soil for other plants or current research is concerned with the anti-tumoural activities of dicarboxylic acids. Should it be the case that if moons are bodies which orbit around planets, then cycads are important for landscaping, and add nitrogen to the soil for other plants, it follows that if few fish live beyond the fourth year, then the notion that 'if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens' is untrue. Whenever it is true that current research is concerned with the anti-tumoural activities of dicarboxylic acids, 'if few fish live beyond the fourth year, then the notion that 'if nonordinary reality is knowledge, then technology can help people with disabilities become independent and productive citizens' is untrue' is true.
|
It is the case that incinerators waste energy compared to recycling.
|
An incinerator is a furnace.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [4]. [SC1-2]
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Not [4].).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [4].).), then (If [5], then [6].).
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [4].).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [4].).), then [7].
If [7], then (Not (If [5], then [6].).). [SC2-4]
Therefore, If (Not (If (Not (If (Not [0].), then (If [1], then [2].).).), then [4].).), then (Not (If [5], then [6].).)..
[SC2-4]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If [7], then (Not (If [5], then [6].).).).
If [10], then (If [7], then (Not (If [5], then [6].).).).
Therefore, If [7], then (Not (If [5], then [6].).)..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not (If [1], then [2].).).).
[3]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
|
{0: 'Incinerators waste energy compared to recycling.', 1: 'Most women maintain weight.', 2: 'Turnovers are dishs.', 3: 'Graphics play an important part in the design of Web pages.', 4: 'Winds flow in order to more evenly distribute heat between the equator and polar regions.', 5: 'Nonordinary reality is knowledge.', 6: 'Technology can help people with disabilities become independent and productive citizens.', 7: 'Few fish live beyond the fourth year.', 8: 'Moons are bodies which orbit around planets.', 9: 'Cycads are important for landscaping, and add nitrogen to the soil for other plants.', 10: 'Current research is concerned with the anti-tumoural activities of dicarboxylic acids.'}
| 6 |
5,456 |
['Given that those that suggest either data mining is an outgrowth of the advances in record-keeping made possible by computers or the claim that volcanoes differ widely in size and shape but three main types are recognized has no merit are wrong, it can be inferred that hay harvests occur to provide future benefits for landowners.', 'Once we know flowers grow out of dark moments, we also know that those that suggest data mining is an outgrowth of the advances in record-keeping made possible by computers are wrong.', 'Should it be the case that pollen is a complete food which contains all nutritional factors necessary for plant reproduction, it follows that those that suggest data mining is an outgrowth of the advances in record-keeping made possible by computers are wrong.', "Assuming hay harvests occur to provide future benefits for landowners, we know that either tobacco smoke is the biggest cause of indoor air pollution or passion emerges when one has the freedom and opportunity to pursue one's dream.", "The statement, either tobacco smoke is the biggest cause of indoor air pollution or passion emerges when one has the freedom and opportunity to pursue one's dream, does not hold.", 'Either one or both of these statements are true: either new hatchlings are eaten by a variety of small vertebrates and even small predators such spiders or most congenital infections are asymptomatic, or macaws are the largest, perhaps most familiar group of parrots and are very long lived birds.', 'Given that macaws are the largest, perhaps most familiar group of parrots and are very long lived birds, it can be inferred that either flowers grow out of dark moments or pollen is a complete food which contains all nutritional factors necessary for plant reproduction.', 'If philosophy of science explores the practice and justification of science, then if either new hatchlings are eaten by a variety of small vertebrates and even small predators such spiders or most congenital infections are asymptomatic, then either flowers grow out of dark moments or pollen is a complete food which contains all nutritional factors necessary for plant reproduction.', 'It is reasonable to believe that philosophy of science explores the practice and justification of science.']
|
Given that those that suggest either data mining is an outgrowth of the advances in record-keeping made possible by computers or the claim that volcanoes differ widely in size and shape but three main types are recognized has no merit are wrong, it can be inferred that hay harvests occur to provide future benefits for landowners. Once we know flowers grow out of dark moments, we also know that those that suggest data mining is an outgrowth of the advances in record-keeping made possible by computers are wrong. Should it be the case that pollen is a complete food which contains all nutritional factors necessary for plant reproduction, it follows that those that suggest data mining is an outgrowth of the advances in record-keeping made possible by computers are wrong. Assuming hay harvests occur to provide future benefits for landowners, we know that either tobacco smoke is the biggest cause of indoor air pollution or passion emerges when one has the freedom and opportunity to pursue one's dream. The statement, either tobacco smoke is the biggest cause of indoor air pollution or passion emerges when one has the freedom and opportunity to pursue one's dream, does not hold. Either one or both of these statements are true: either new hatchlings are eaten by a variety of small vertebrates and even small predators such spiders or most congenital infections are asymptomatic, or macaws are the largest, perhaps most familiar group of parrots and are very long lived birds. Given that macaws are the largest, perhaps most familiar group of parrots and are very long lived birds, it can be inferred that either flowers grow out of dark moments or pollen is a complete food which contains all nutritional factors necessary for plant reproduction. If philosophy of science explores the practice and justification of science, then if either new hatchlings are eaten by a variety of small vertebrates and even small predators such spiders or most congenital infections are asymptomatic, then either flowers grow out of dark moments or pollen is a complete food which contains all nutritional factors necessary for plant reproduction. It is reasonable to believe that philosophy of science explores the practice and justification of science.
|
The claim that volcanoes differ widely in size and shape but three main types are recognized has no merit.
|
It is not the case that volcanoes contribute to the greenhouse effect .
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Tonens:
If [2], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not [1].).
If [4], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (Either [3] or [4].). [SC2-3]
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-3]
Modus Ponens:
If [10], then (If (Either [5] or [6].), then (Either [3] or [4].).).
[10]
Therefore, If (Either [5] or [6].), then (Either [3] or [4].)..
|
{0: 'Volcanoes differ widely in size and shape but three main types are recognized.', 1: 'Data mining is an outgrowth of the advances in record-keeping made possible by computers.', 2: 'Hay harvests occur to provide future benefits for landowners.', 3: 'Flowers grow out of dark moments.', 4: 'Pollen is a complete food which contains all nutritional factors necessary for plant reproduction.', 5: 'New hatchlings are eaten by a variety of small vertebrates and even small predators such spiders.', 6: 'Most congenital infections are asymptomatic.', 7: 'Macaws are the largest, perhaps most familiar group of parrots and are very long lived birds.', 8: 'Tobacco smoke is the biggest cause of indoor air pollution.', 9: "Passion emerges when one has the freedom and opportunity to pursue one's dream.", 10: 'Philosophy of science explores the practice and justification of science.'}
| 6 |
5,386 |
['We know that the claim that some animals live at elevation is false.', "If either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker, then interest is charged to a person that borrows money.", "Once we know either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker, we also know that the statement 'interest is charged to a person that borrows money' can be considered false.", "There is good reason to believe that either either ecumenical relations are a living process or ships lie in shallow water and are now covered in corals and fish or if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some risk factors increase a woman's risk of breast cancer more than others.", 'The claim that either ecumenical relations are a living process or ships lie in shallow water and are now covered in corals and fish does not reflect reality.', 'Either one or both of these statements are true: shape is a sensory element that art makers use, or if plovers have faces, then psychiatrists can prescribe psychiatric medication .', "Whenever it is true that shape is a sensory element that art makers use, 'if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some people mistakenly believe that some risk factors increase a woman's risk of breast cancer more than others' is true.", "Whenever it is true that if plovers have faces, then psychiatrists can prescribe psychiatric medication , 'if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some people mistakenly believe that some risk factors increase a woman's risk of breast cancer more than others' is true."]
|
We know that the claim that some animals live at elevation is false. If either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker, then interest is charged to a person that borrows money. Once we know either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker, we also know that the statement 'interest is charged to a person that borrows money' can be considered false. There is good reason to believe that either either ecumenical relations are a living process or ships lie in shallow water and are now covered in corals and fish or if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some risk factors increase a woman's risk of breast cancer more than others. The claim that either ecumenical relations are a living process or ships lie in shallow water and are now covered in corals and fish does not reflect reality. Either one or both of these statements are true: shape is a sensory element that art makers use, or if plovers have faces, then psychiatrists can prescribe psychiatric medication . Whenever it is true that shape is a sensory element that art makers use, 'if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some people mistakenly believe that some risk factors increase a woman's risk of breast cancer more than others' is true. Whenever it is true that if plovers have faces, then psychiatrists can prescribe psychiatric medication , 'if the statement that 'either either taxable sales are the portion of a vendor's total sales that are subject to sales tax or a boatman is a worker or if the statement that states antlers have compositions is false, then some animals live at elevation' is incorrect, then some people mistakenly believe that some risk factors increase a woman's risk of breast cancer more than others' is true.
|
The claim that antlers have compositions is true.
|
The claim that antlers have compositions has no merit.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
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]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then [5]. [SC1-3]
If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then (Not [5].). [SC2-3]
Therefore, Either (Either [2] or [3].) or (If (Not [0].), then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then [5].).
Not (Either [6] or [7].).
Therefore, If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then [5]..
[SC2-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then (Not [5].).).
If (If [9], then [10].), then (If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then (Not [5].).).
Therefore, If (Not (Either (Either [2] or [3].) or (If (Not [0].), then [1].).).), then (Not [5].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [2] or [3].), then [4].
If (Either [2] or [3].), then (Not [4].).
Therefore, Not (Either [2] or [3].)..
|
{0: 'Antlers have compositions.', 1: 'Some animals live at elevation.', 2: "Taxable sales are the portion of a vendor's total sales that are subject to sales tax.", 3: 'A boatman is a worker.', 4: 'Interest is charged to a person that borrows money.', 5: "Some risk factors increase a woman's risk of breast cancer more than others.", 6: 'Ecumenical relations are a living process .', 7: 'Ships lie in shallow water and are now covered in corals and fish.', 8: 'Shape is a sensory element that art makers use.', 9: 'Plovers have faces.', 10: 'Psychiatrists can prescribe psychiatric medication .'}
| 6 |
5,982 |
['Assuming notepads are used for sketchings, we know that if the claim that heavy water is used in the nuclear industry to slow down neutrons does not reflect reality, then lactation is the production of milk by the hormone-prepared mammary glands.', 'One may reasonably assume that if cigarette smokers tend to have high blood pressure, then if the claim that heavy water is used in the nuclear industry to slow down neutrons does not reflect reality, then lactation is the production of milk by the hormone-prepared mammary glands.', 'Assuming lactation is the production of milk by the hormone-prepared mammary glands, we know that paper wasps are one of the less aggressive wasps.', "The notion that 'paper wasps are one of the less aggressive wasps' is untrue.", "So long as the claim that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then some people are allergic to dapsone does not correspond with reality, 'some bettongs occupy large ranges' is true.", "Once we know the claim that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then some people are allergic to dapsone does not correspond with reality, we also know that the claim that some bettongs occupy large ranges is false.", 'We know that at least one of two things is true: most pure pigment absorbs light, or robins stay all winter in North Carolina.', "On the condition that most pure pigment absorbs light, it is definitely the case that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then the statement, some people are allergic to dapsone, does not hold.", "On the condition that robins stay all winter in North Carolina, it is definitely the case that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then the statement, some people are allergic to dapsone, does not hold."]
|
Assuming notepads are used for sketchings, we know that if the claim that heavy water is used in the nuclear industry to slow down neutrons does not reflect reality, then lactation is the production of milk by the hormone-prepared mammary glands. One may reasonably assume that if cigarette smokers tend to have high blood pressure, then if the claim that heavy water is used in the nuclear industry to slow down neutrons does not reflect reality, then lactation is the production of milk by the hormone-prepared mammary glands. Assuming lactation is the production of milk by the hormone-prepared mammary glands, we know that paper wasps are one of the less aggressive wasps. The notion that 'paper wasps are one of the less aggressive wasps' is untrue. So long as the claim that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then some people are allergic to dapsone does not correspond with reality, 'some bettongs occupy large ranges' is true. Once we know the claim that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then some people are allergic to dapsone does not correspond with reality, we also know that the claim that some bettongs occupy large ranges is false. We know that at least one of two things is true: most pure pigment absorbs light, or robins stay all winter in North Carolina. On the condition that most pure pigment absorbs light, it is definitely the case that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then the statement, some people are allergic to dapsone, does not hold. On the condition that robins stay all winter in North Carolina, it is definitely the case that if the notion that 'either notepads are used for sketchings or cigarette smokers tend to have high blood pressure' is untrue, then the statement, some people are allergic to dapsone, does not hold.
|
Those that suggest heavy water is used in the nuclear industry to slow down neutrons are right.
|
The statement 'heavy water is used in the nuclear industry to slow down neutrons ' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [5]. [SC1-3]
If (Not (Either [2] or [3].).), then (Not [5].). [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or [3].).), then [5].).), then [8].
If (Not (If (Not (Either [2] or [3].).), then [5].).), then (Not [8].).
Therefore, If (Not (Either [2] or [3].).), then [5]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (Either [2] or [3].).), then (Not [5].).).
If [7], then (If (Not (Either [2] or [3].).), then (Not [5].).).
Therefore, If (Not (Either [2] or [3].).), then (Not [5].)..
[SC2-1]
Modus Tonens:
If [1], then [4].
Not [4].
Therefore, Not [1]..
|
{0: 'Heavy water is used in the nuclear industry to slow down neutrons .', 1: 'Lactation is the production of milk by the hormone-prepared mammary glands.', 2: 'Notepads are used for sketchings.', 3: 'Cigarette smokers tend to have high blood pressure.', 4: 'Paper wasps are one of the less aggressive wasps.', 5: 'Some people are allergic to dapsone.', 6: 'Most pure pigment absorbs light.', 7: 'Robins stay all winter in North Carolina.', 8: 'Some bettongs occupy large ranges.'}
| 6 |
5,909 |
['The statement, many species have attractive, often brightly coloured foliage, flowers and fruits, does not hold.', "On the condition that the statement 'if it is not true that if the notion that 'chameleon is a semi-clear ninja that morphs between all the other ninjas' is untrue, then many species have attractive, often brightly coloured foliage, flowers and fruits, then most wild boars inhabit same areas' can be considered false, it is definitely the case that some dependent reaction occurs on membranes.", "The notion that 'naturalists deny the supernatural' is untrue.", 'We know that either if inhalation anthrax is anthrax, then chemical energy is the energy stored in food, wood, coal,petroleum, and other fuels or the claim that some dependent reaction occurs on membranes is false.', 'The statement that states if inhalation anthrax is anthrax, then chemical energy is the energy stored in food, wood, coal,petroleum, and other fuels is false.', 'Once we know most wild boars inhabit same areas, we also know that either popular education is a constantly changing and growing process that has roots in many countries or clinical paths are multidisciplinary treatment plans for the care of specific patient groups.', 'Once we know either popular education is a constantly changing and growing process that has roots in many countries or clinical paths are multidisciplinary treatment plans for the care of specific patient groups, we also know that naturalists deny the supernatural.']
|
The statement, many species have attractive, often brightly coloured foliage, flowers and fruits, does not hold. On the condition that the statement 'if it is not true that if the notion that 'chameleon is a semi-clear ninja that morphs between all the other ninjas' is untrue, then many species have attractive, often brightly coloured foliage, flowers and fruits, then most wild boars inhabit same areas' can be considered false, it is definitely the case that some dependent reaction occurs on membranes. The notion that 'naturalists deny the supernatural' is untrue. We know that either if inhalation anthrax is anthrax, then chemical energy is the energy stored in food, wood, coal,petroleum, and other fuels or the claim that some dependent reaction occurs on membranes is false. The statement that states if inhalation anthrax is anthrax, then chemical energy is the energy stored in food, wood, coal,petroleum, and other fuels is false. Once we know most wild boars inhabit same areas, we also know that either popular education is a constantly changing and growing process that has roots in many countries or clinical paths are multidisciplinary treatment plans for the care of specific patient groups. Once we know either popular education is a constantly changing and growing process that has roots in many countries or clinical paths are multidisciplinary treatment plans for the care of specific patient groups, we also know that naturalists deny the supernatural.
|
The statement 'chameleon is a semi-clear ninja that morphs between all the other ninjas' is true.
|
Most chameleons wait for prey.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [3].
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [3].).
Not (If [5], then [6].).
Therefore, Not [3]..
[SC2-2]
Modus Tonens:
If [2], then [4]. [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then (Either [7] or [8].).
If (Either [7] or [8].), then [4].
Therefore, If [2], then [4]..
|
{0: 'Chameleon is a semi-clear ninja that morphs between all the other ninjas.', 1: 'Many species have attractive, often brightly coloured foliage, flowers and fruits.', 2: 'Most wild boars inhabit same areas.', 3: 'Some dependent reaction occurs on membranes.', 4: 'Naturalists deny the supernatural.', 5: 'Inhalation anthrax is anthrax.', 6: 'Chemical energy is the energy stored in food, wood, coal,petroleum, and other fuels.', 7: 'Popular education is a constantly changing and growing process that has roots in many countries.', 8: 'Clinical paths are multidisciplinary treatment plans for the care of specific patient groups.'}
| 6 |
5,693 |
["The statement that 'salmon reach sexual maturity' is incorrect.", 'On the condition that most animals has-part eyes, it is definitely the case that either scientific investigation is needed to advance the understanding of medicine or monkeys get diets.', 'Given that the statement, either salmon reach sexual maturity or if either scientific investigation is needed to advance the understanding of medicine or monkeys get diets, then if bats have very light bones compared to other mammals, then sonic booms occur when an object is travelling at the speed of sound, does not hold, it can be inferred that bluebirds prefer soft grasses, fragrant pine needles, or even strips of bark as nesting material.', 'It is a common misconception that bluebirds prefer soft grasses, fragrant pine needles, or even strips of bark as nesting material.', 'Should it be the case that most centipedes inhabit urban areas, it follows that either either arsenic concentrations appear to be lower in the Southeast, based on a smaller amount of data or recycling also saves energy and reduces pollution or most animals has-part eyes.', 'It is the case that most centipedes inhabit urban areas.', 'There is good reason to believe that either swimmers wear body suits or if either arsenic concentrations appear to be lower in the Southeast, based on a smaller amount of data or recycling also saves energy and reduces pollution, then either scientific investigation is needed to advance the understanding of medicine or monkeys get diets.', 'The claim that swimmers wear body suits has no merit.']
|
The statement that 'salmon reach sexual maturity' is incorrect. On the condition that most animals has-part eyes, it is definitely the case that either scientific investigation is needed to advance the understanding of medicine or monkeys get diets. Given that the statement, either salmon reach sexual maturity or if either scientific investigation is needed to advance the understanding of medicine or monkeys get diets, then if bats have very light bones compared to other mammals, then sonic booms occur when an object is travelling at the speed of sound, does not hold, it can be inferred that bluebirds prefer soft grasses, fragrant pine needles, or even strips of bark as nesting material. It is a common misconception that bluebirds prefer soft grasses, fragrant pine needles, or even strips of bark as nesting material. Should it be the case that most centipedes inhabit urban areas, it follows that either either arsenic concentrations appear to be lower in the Southeast, based on a smaller amount of data or recycling also saves energy and reduces pollution or most animals has-part eyes. It is the case that most centipedes inhabit urban areas. There is good reason to believe that either swimmers wear body suits or if either arsenic concentrations appear to be lower in the Southeast, based on a smaller amount of data or recycling also saves energy and reduces pollution, then either scientific investigation is needed to advance the understanding of medicine or monkeys get diets. The claim that swimmers wear body suits has no merit.
|
Whenever it is true that bats have very light bones compared to other mammals, 'sonic booms occur when an object is travelling at the speed of sound' is true.
|
Whenever it is true that bats have very light bones compared to other mammals, 'sonic booms occur when an object is travelling at the speed of sound' is true.
|
TRUE
|
Modus Ponens:
If (Either [2] or [3].), then (If [0], then [1].). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (Either [2] or [3].), then (If [0], then [1].).). [SC1-2]
Not [4].
Therefore, If (Either [2] or [3].), then (If [0], then [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (If (Either [2] or [3].), then (If [0], then [1].).).).), then [8].
Not [8].
Therefore, Either [4] or (If (Either [2] or [3].), then (If [0], then [1].).)..
[SC2-1]
Disjunction Elimination:
Either (Either [5] or [6].) or [7]. [SC1-2]
If (Either [5] or [6].), then (Either [2] or [3].). [SC2-2]
If [7], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-2]
Modus Ponens:
If [9], then (Either (Either [5] or [6].) or [7].).
[9]
Therefore, Either (Either [5] or [6].) or [7]..
[SC2-2]
Disjunctive Syllogism:
Either [10] or (If (Either [5] or [6].), then (Either [2] or [3].).).
Not [10].
Therefore, If (Either [5] or [6].), then (Either [2] or [3].)..
|
{0: 'Bats have very light bones compared to other mammals.', 1: 'Sonic booms occur when an object is travelling at the speed of sound.', 2: 'Scientific investigation is needed to advance the understanding of medicine.', 3: 'Monkeys get diets.', 4: 'Salmon reach sexual maturity.', 5: 'Arsenic concentrations appear to be lower in the Southeast, based on a smaller amount of data.', 6: 'Recycling also saves energy and reduces pollution.', 7: 'Most animals has-part eyes.', 8: 'Bluebirds prefer soft grasses, fragrant pine needles, or even strips of bark as nesting material.', 9: 'Most centipedes inhabit urban areas.', 10: 'Swimmers wear body suits.'}
| 6 |
5,236 |
['It is a fact that either newts have (part) cytoplasm or nicotine narrows and restricts blood vessels.', 'Given that nicotine narrows and restricts blood vessels, it can be inferred that if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed.', 'On the condition that the statement, if newts have (part) cytoplasm, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed, does not hold, it is definitely the case that green tea is considered as one of the three major non-alcoholic beverages in the world.', "Whenever it is true that the statement, if newts have (part) cytoplasm, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed, does not hold, 'the statement that 'green tea is considered as one of the three major non-alcoholic beverages in the world' is incorrect' is true.", 'Either one or both of these statements are true: damage is caused by mechanical forces, or if rats have a life span of about a year in the wild and breed often during their short life, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then we know that the claim that if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed is false.', 'We know that the claim that damage is caused by mechanical forces is false.', 'Assuming complexity is introduced through sorting and searching algorithms, we know that rats have a life span of about a year in the wild and breed often during their short life.', 'complexity is introduced through sorting and searching algorithms.']
|
It is a fact that either newts have (part) cytoplasm or nicotine narrows and restricts blood vessels. Given that nicotine narrows and restricts blood vessels, it can be inferred that if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed. On the condition that the statement, if newts have (part) cytoplasm, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed, does not hold, it is definitely the case that green tea is considered as one of the three major non-alcoholic beverages in the world. Whenever it is true that the statement, if newts have (part) cytoplasm, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed, does not hold, 'the statement that 'green tea is considered as one of the three major non-alcoholic beverages in the world' is incorrect' is true. Either one or both of these statements are true: damage is caused by mechanical forces, or if rats have a life span of about a year in the wild and breed often during their short life, then if the statement, firewalls are present to protect against unauthorized access from the Internet, does not hold, then we know that the claim that if owls live in old buildings, then galactic collisions can spur rapid star birth as gas clouds are heated and compressed is false. We know that the claim that damage is caused by mechanical forces is false. Assuming complexity is introduced through sorting and searching algorithms, we know that rats have a life span of about a year in the wild and breed often during their short life. complexity is introduced through sorting and searching algorithms.
|
We can assume that firewalls are present to protect against unauthorized access from the Internet.
|
Firewalls protect consumers from hackers and other unwanted activities directed at their PCs.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then (If [1], then [2].).). [SC2-2]
If [5], then (If (Not [0].), then (If [1], then [2].).).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not [0].), then (If [1], then [2].).).).), then [6].
If (Not (If [4], then (If (Not [0].), then (If [1], then [2].).).).), then (Not [6].).
Therefore, If [4], then (If (Not [0].), then (If [1], then [2].).)..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not (If [1], then [2].).).). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [3], then (If (Not [0].), then (Not (If [1], then [2].).).).).
Not [7].
Therefore, If [3], then (If (Not [0].), then (Not (If [1], then [2].).).)..
[SC2-2]
Modus Ponens:
If [8], then [3].
[8]
Therefore, [3].
|
{0: 'Firewalls are present to protect against unauthorized access from the Internet.', 1: 'Owls live in old buildings.', 2: 'Galactic collisions can spur rapid star birth as gas clouds are heated and compressed.', 3: 'Rats have a life span of about a year in the wild and breed often during their short life.', 4: 'Newts have (part) cytoplasm.', 5: 'Nicotine narrows and restricts blood vessels.', 6: 'Green tea is considered as one of the three major non-alcoholic beverages in the world.', 7: 'Damage is caused by mechanical forces.', 8: 'Complexity is introduced through sorting and searching algorithms.'}
| 6 |
5,501 |
["So long as sea turtles use nest beaches, 'vitrectomy removes the blood-filled vitreous and replaces it with a clear solution' is true.", 'Should it be the case that topical corticosteroids are no more effective than cold water compresses in relieving symptoms, it follows that if biological function emerges primarily from protein molecules, then vitrectomy removes the blood-filled vitreous and replaces it with a clear solution.', "Provided that the statement 'either companies sometimes use several business names, reflecting their corporate structure or either biological function emerges primarily from protein molecules or sea turtles use nest beaches' can be considered false, we know that worlds are located in solar systems.", "Whenever it is true that the statement 'either companies sometimes use several business names, reflecting their corporate structure or either biological function emerges primarily from protein molecules or sea turtles use nest beaches' can be considered false, 'the notion that 'worlds are located in solar systems' is untrue' is true.", 'On the condition that companies sometimes use several business names, reflecting their corporate structure, it is definitely the case that mammals are vertebrates that have hair and mammary glands used to provide nutrition for their young.', "Assuming companies sometimes use several business names, reflecting their corporate structure, we know that the statement that 'mammals are vertebrates that have hair and mammary glands used to provide nutrition for their young' is incorrect.", "If the notion that 'topical corticosteroids are no more effective than cold water compresses in relieving symptoms' is untrue, then australian wool is found in Indian textiles.", "Whenever it is true that the notion that 'topical corticosteroids are no more effective than cold water compresses in relieving symptoms' is untrue, 'it is not the case that australian wool is found in Indian textiles' is true."]
|
So long as sea turtles use nest beaches, 'vitrectomy removes the blood-filled vitreous and replaces it with a clear solution' is true. Should it be the case that topical corticosteroids are no more effective than cold water compresses in relieving symptoms, it follows that if biological function emerges primarily from protein molecules, then vitrectomy removes the blood-filled vitreous and replaces it with a clear solution. Provided that the statement 'either companies sometimes use several business names, reflecting their corporate structure or either biological function emerges primarily from protein molecules or sea turtles use nest beaches' can be considered false, we know that worlds are located in solar systems. Whenever it is true that the statement 'either companies sometimes use several business names, reflecting their corporate structure or either biological function emerges primarily from protein molecules or sea turtles use nest beaches' can be considered false, 'the notion that 'worlds are located in solar systems' is untrue' is true. On the condition that companies sometimes use several business names, reflecting their corporate structure, it is definitely the case that mammals are vertebrates that have hair and mammary glands used to provide nutrition for their young. Assuming companies sometimes use several business names, reflecting their corporate structure, we know that the statement that 'mammals are vertebrates that have hair and mammary glands used to provide nutrition for their young' is incorrect. If the notion that 'topical corticosteroids are no more effective than cold water compresses in relieving symptoms' is untrue, then australian wool is found in Indian textiles. Whenever it is true that the notion that 'topical corticosteroids are no more effective than cold water compresses in relieving symptoms' is untrue, 'it is not the case that australian wool is found in Indian textiles' is true.
|
It is true that vitrectomy removes the blood-filled vitreous and replaces it with a clear solution.
|
It is true that vitrectomy removes the blood-filled vitreous and replaces it with a clear solution.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or [2].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (Either [1] or [2].).).), then [7].
If (Not (Either [4] or (Either [1] or [2].).).), then (Not [7].).
Therefore, Either [4] or (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
[SC2-1]
Modus Ponens:
If [3], then (If [1], then [0].).
[3] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [6].
If (Not [3].), then (Not [6].).
Therefore, [3].
|
{0: 'Vitrectomy removes the blood-filled vitreous and replaces it with a clear solution.', 1: 'Biological function emerges primarily from protein molecules.', 2: 'Sea turtles use nest beaches.', 3: 'Topical corticosteroids are no more effective than cold water compresses in relieving symptoms.', 4: 'Companies sometimes use several business names, reflecting their corporate structure.', 5: 'Mammals are vertebrates that have hair and mammary glands used to provide nutrition for their young.', 6: 'Australian wool is found in Indian textiles.', 7: 'Worlds are located in solar systems.'}
| 6 |
5,497 |
['The claim that some infection is caused by mold is false.', 'If kidney infections produce fever and back pain much more commonly than do bladder infections, then martens have very few enemies besides humans.', 'On the condition that it is not the case that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then the claim that martens have very few enemies besides humans has no merit, it is definitely the case that human cloning is, at present, illegal across the world.', 'We know that the claim that human cloning is, at present, illegal across the world is false.', 'We know that either alcohol is the door to all evils or technology is what creates wealth.', 'Provided that technology is what creates wealth, we know that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then kidney infections produce fever and back pain much more commonly than do bladder infections.', 'Should it be the case that alcohol is the door to all evils, it follows that most adrenal fatigue has symptoms.', 'Assuming most adrenal fatigue has symptoms, we know that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then kidney infections produce fever and back pain much more commonly than do bladder infections.']
|
The claim that some infection is caused by mold is false. If kidney infections produce fever and back pain much more commonly than do bladder infections, then martens have very few enemies besides humans. On the condition that it is not the case that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then the claim that martens have very few enemies besides humans has no merit, it is definitely the case that human cloning is, at present, illegal across the world. We know that the claim that human cloning is, at present, illegal across the world is false. We know that either alcohol is the door to all evils or technology is what creates wealth. Provided that technology is what creates wealth, we know that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then kidney infections produce fever and back pain much more commonly than do bladder infections. Should it be the case that alcohol is the door to all evils, it follows that most adrenal fatigue has symptoms. Assuming most adrenal fatigue has symptoms, we know that if those that suggest if pebbles are located in creeks, then some infection is caused by mold are wrong, then kidney infections produce fever and back pain much more commonly than do bladder infections.
|
The claim that pebbles are located in creeks does not correspond with reality.
|
The claim that pebbles are located in creeks does not correspond with reality.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [4]. [SC1-3]
If [4], then [2].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [0], then [1].).), then [4].). [SC2-4]
If [6], then (If (Not (If [0], then [1].).), then [4].).
Therefore, If (Not (If [0], then [1].).), then [4]..
[SC2-4]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (If (Not (If [0], then [1].).), then [4].).
Therefore, If [5], then (If (Not (If [0], then [1].).), then [4].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [3].
Not [3].
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
|
{0: 'Pebbles are located in creeks.', 1: 'Some infection is caused by mold.', 2: 'Martens have very few enemies besides humans.', 3: 'Human cloning is, at present, illegal across the world.', 4: 'Kidney infections produce fever and back pain much more commonly than do bladder infections.', 5: 'Alcohol is the door to all evils.', 6: 'Technology is what creates wealth.', 7: 'Most adrenal fatigue has symptoms.'}
| 6 |
5,874 |
['The claim that either food becomes plentiful in spring, when mating starts or grit is cereals does not correspond with reality.', 'It is rational to believe that either chromium works closely with insulin to facilitate the uptake of glucose into cells or basic science is an investment in the future.', "When chromium works closely with insulin to facilitate the uptake of glucose into cells is true, it follows that either consumer spending accounts for two-thirds of the nation's economic activity or either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight.", "When basic science is an investment in the future is true, it follows that either consumer spending accounts for two-thirds of the nation's economic activity or either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight.", 'Either one or both of these statements are true: if seizures involve episodes, then marine collagen is derived from fish, or bayesian inference is used to generate the microdose distribution.', "Whenever it is true that if seizures involve episodes, then marine collagen is derived from fish, 'if consumer spending accounts for two-thirds of the nation's economic activity, then either food becomes plentiful in spring, when mating starts or grit is cereals' is true.", "Whenever it is true that either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight, 'softer colors seem to actually use shading to give some sense of depth to the color areas' is true.", "Whenever it is true that softer colors seem to actually use shading to give some sense of depth to the color areas, 'the claim that either solar energy is suitable for use just about anywhere in Texas or spinach is plants does not correspond with reality' is true.", 'Assuming bayesian inference is used to generate the microdose distribution, we know that sapphire is perhaps the toughest and most durable gemstone available on the market.', "So long as sapphire is perhaps the toughest and most durable gemstone available on the market, 'if consumer spending accounts for two-thirds of the nation's economic activity, then either food becomes plentiful in spring, when mating starts or grit is cereals' is true."]
|
The claim that either food becomes plentiful in spring, when mating starts or grit is cereals does not correspond with reality. It is rational to believe that either chromium works closely with insulin to facilitate the uptake of glucose into cells or basic science is an investment in the future. When chromium works closely with insulin to facilitate the uptake of glucose into cells is true, it follows that either consumer spending accounts for two-thirds of the nation's economic activity or either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight. When basic science is an investment in the future is true, it follows that either consumer spending accounts for two-thirds of the nation's economic activity or either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight. Either one or both of these statements are true: if seizures involve episodes, then marine collagen is derived from fish, or bayesian inference is used to generate the microdose distribution. Whenever it is true that if seizures involve episodes, then marine collagen is derived from fish, 'if consumer spending accounts for two-thirds of the nation's economic activity, then either food becomes plentiful in spring, when mating starts or grit is cereals' is true. Whenever it is true that either african countries can take policy and regulatory steps to foster domestic markets or aerosols have a cooling effect due to their ability to reflect incoming sunlight, 'softer colors seem to actually use shading to give some sense of depth to the color areas' is true. Whenever it is true that softer colors seem to actually use shading to give some sense of depth to the color areas, 'the claim that either solar energy is suitable for use just about anywhere in Texas or spinach is plants does not correspond with reality' is true. Assuming bayesian inference is used to generate the microdose distribution, we know that sapphire is perhaps the toughest and most durable gemstone available on the market. So long as sapphire is perhaps the toughest and most durable gemstone available on the market, 'if consumer spending accounts for two-thirds of the nation's economic activity, then either food becomes plentiful in spring, when mating starts or grit is cereals' is true.
|
The claim that either solar energy is suitable for use just about anywhere in Texas or spinach is plants does not correspond with reality.
|
The claim that either solar energy is suitable for use just about anywhere in Texas or spinach is plants does not correspond with reality.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Not (Either [0] or [1].).). [SC1-1]
Not (Either [2] or [3].).
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Constructive Dilemma:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (Either [2] or [3].). [SC2-2]
If (Either [5] or [6].), then (Not (Either [0] or [1].).). [SC3-2]
Therefore, Either (Either [2] or [3].) or (Not (Either [0] or [1].).)..
[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].).).
Therefore, Either [4] or (Either [5] or [6].)..
[SC2-2]
Disjunction Elimination:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then (If [4], then (Either [2] or [3].).).
If [12], then (If [4], then (Either [2] or [3].).). [SC3-3]
Therefore, If [4], then (Either [2] or [3].)..
[SC3-3]
Hypothetical Syllogism:
If [12], then [13].
If [13], then (If [4], then (Either [2] or [3].).).
Therefore, If [12], then (If [4], then (Either [2] or [3].).)..
[SC3-2]
Hypothetical Syllogism:
If (Either [5] or [6].), then [7].
If [7], then (Not (Either [0] or [1].).).
Therefore, If (Either [5] or [6].), then (Not (Either [0] or [1].).)..
|
{0: 'Solar energy is suitable for use just about anywhere in Texas.', 1: 'Spinach is plants.', 2: 'Food becomes plentiful in spring, when mating starts.', 3: 'Grit is cereals.', 4: "Consumer spending accounts for two-thirds of the nation's economic activity.", 5: 'African countries can take policy and regulatory steps to foster domestic markets.', 6: 'Aerosols have a cooling effect due to their ability to reflect incoming sunlight.', 7: 'Softer colors seem to actually use shading to give some sense of depth to the color areas.', 8: 'Chromium works closely with insulin to facilitate the uptake of glucose into cells.', 9: 'Basic science is an investment in the future.', 10: 'Seizures involve episodes.', 11: 'Marine collagen is derived from fish.', 12: 'Bayesian inference is used to generate the microdose distribution.', 13: 'Sapphire is perhaps the toughest and most durable gemstone available on the market.'}
| 6 |
5,452 |
['One may reasonably assume that if diamonds are extremely hard, but also brittle and can be split up by a single blow, then psittacosis also causes chlamydial eye and respiratory infections in cats.', 'It is a fact that either bristlecone pine is pine or if diamonds are extremely hard, but also brittle and can be split up by a single blow, then the claim that psittacosis also causes chlamydial eye and respiratory infections in cats does not correspond with reality.', 'It is rational to believe that either fear is the dark room where negatives are developed or if prenatal vitamins are often the source of iron poisoning in children, then the claim that bristlecone pine is pine has no merit.', 'It is a common misconception that fear is the dark room where negatives are developed.', "So long as cars emit benzene as unburned fuel, or as fuel vapors that simply evaporate, 'prenatal vitamins are often the source of iron poisoning in children' is true.", "Whenever it is true that evolution drives life toward increasingly varied and complex forms, 'prenatal vitamins are often the source of iron poisoning in children' is true.", 'At least one of two things is true: barium sulfate is crystal, or either cars emit benzene as unburned fuel, or as fuel vapors that simply evaporate or evolution drives life toward increasingly varied and complex forms.', 'The statement that states barium sulfate is crystal is false.']
|
One may reasonably assume that if diamonds are extremely hard, but also brittle and can be split up by a single blow, then psittacosis also causes chlamydial eye and respiratory infections in cats. It is a fact that either bristlecone pine is pine or if diamonds are extremely hard, but also brittle and can be split up by a single blow, then the claim that psittacosis also causes chlamydial eye and respiratory infections in cats does not correspond with reality. It is rational to believe that either fear is the dark room where negatives are developed or if prenatal vitamins are often the source of iron poisoning in children, then the claim that bristlecone pine is pine has no merit. It is a common misconception that fear is the dark room where negatives are developed. So long as cars emit benzene as unburned fuel, or as fuel vapors that simply evaporate, 'prenatal vitamins are often the source of iron poisoning in children' is true. Whenever it is true that evolution drives life toward increasingly varied and complex forms, 'prenatal vitamins are often the source of iron poisoning in children' is true. At least one of two things is true: barium sulfate is crystal, or either cars emit benzene as unburned fuel, or as fuel vapors that simply evaporate or evolution drives life toward increasingly varied and complex forms. The statement that states barium sulfate is crystal is false.
|
Those that suggest diamonds are extremely hard, but also brittle and can be split up by a single blow are wrong.
|
The statement 'diamonds are extremely hard, but also brittle and can be split up by a single blow' can be considered true.
|
FALSE
|
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].).).
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [2].).).
Not [4].
Therefore, If [3], then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then [3].
If [6], then [3].
Therefore, [3].
[SC1-4]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].).
Not [7].
Therefore, Either [5] or [6]..
|
{0: 'Diamonds are extremely hard, but also brittle and can be split up by a single blow.', 1: 'Psittacosis also causes chlamydial eye and respiratory infections in cats.', 2: 'Bristlecone pine is pine.', 3: 'Prenatal vitamins are often the source of iron poisoning in children.', 4: 'Fear is the dark room where negatives are developed.', 5: 'Cars emit benzene as unburned fuel, or as fuel vapors that simply evaporate.', 6: 'Evolution drives life toward increasingly varied and complex forms.', 7: 'Barium sulfate is crystal.'}
| 6 |
5,494 |
["When if diamonds come in a wide range of colours, then water leaving an aquifer naturally or through pumping is called discharge water is true, it follows that either most diseases have phenotypic effects or the statement 'either most mosquitoes serve as nutritious meals or moles are specialized for life underground' can be considered false.", "So long as most diseases have phenotypic effects, 'muslim children report that they have few opportunities to attend services for their faith' is true.", 'The claim that contour lines are always parallel is true.', 'When muslim children report that they have few opportunities to attend services for their faith is true, it follows that many couples only talk about sex right before, during, or just after they have it.', 'Once we know muslim children report that they have few opportunities to attend services for their faith, we also know that it is a common misconception that many couples only talk about sex right before, during, or just after they have it.', 'Once we know some organic materials come from soil erosion, we also know that if contour lines are always parallel, then if diamonds come in a wide range of colours, then water leaving an aquifer naturally or through pumping is called discharge water.', "The statement 'some organic materials come from soil erosion' can be considered true."]
|
When if diamonds come in a wide range of colours, then water leaving an aquifer naturally or through pumping is called discharge water is true, it follows that either most diseases have phenotypic effects or the statement 'either most mosquitoes serve as nutritious meals or moles are specialized for life underground' can be considered false. So long as most diseases have phenotypic effects, 'muslim children report that they have few opportunities to attend services for their faith' is true. The claim that contour lines are always parallel is true. When muslim children report that they have few opportunities to attend services for their faith is true, it follows that many couples only talk about sex right before, during, or just after they have it. Once we know muslim children report that they have few opportunities to attend services for their faith, we also know that it is a common misconception that many couples only talk about sex right before, during, or just after they have it. Once we know some organic materials come from soil erosion, we also know that if contour lines are always parallel, then if diamonds come in a wide range of colours, then water leaving an aquifer naturally or through pumping is called discharge water. The statement 'some organic materials come from soil erosion' can be considered true.
|
The statement 'either most mosquitoes serve as nutritious meals or moles are specialized for life underground' can be considered false.
|
The statement 'either most mosquitoes serve as nutritious meals or moles are specialized for life underground' can be considered false.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Not (Either [0] or [1].).). [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (Either [2] or (Not (Either [0] or [1].).).).
If [4], then [5]. [SC2-2]
Therefore, Either [2] or (Not (Either [0] or [1].).)..
[SC2-2]
Modus Ponens:
If [7], then (If [4], then [5].). [SC1-3]
[7]
Therefore, If [4], then [5]..
[SC1-3]
Modus Ponens:
If [8], then (If [7], then (If [4], then [5].).).
[8]
Therefore, If [7], then (If [4], then [5].)..
[SC2-1]
Modus Tonens:
If [2], then [3].
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [6].
If [3], then (Not [6].).
Therefore, Not [3]..
|
{0: 'Most mosquitoes serve as nutritious meals.', 1: 'Moles are specialized for life underground.', 2: 'Most diseases have phenotypic effects.', 3: 'Muslim children report that they have few opportunities to attend services for their faith.', 4: 'Diamonds come in a wide range of colours.', 5: 'Water leaving an aquifer naturally or through pumping is called discharge water.', 6: 'Many couples only talk about sex right before, during, or just after they have it.', 7: 'Contour lines are always parallel.', 8: 'Some organic materials come from soil erosion.'}
| 6 |
5,923 |
['We know that either freshwater fishing is good in lakes and local rivers or haloperidol is also an excellent antiemetic if that is required.', 'Provided that freshwater fishing is good in lakes and local rivers, we know that students help educators.', "So long as if cardiac arrhythmias can range in severity from entirely benign to immediately life threatening, then a bryony is a vine, 'if haloperidol is also an excellent antiemetic if that is required, then students help educators' is true.", 'It is not the case that doctors are people, and people have hang-ups and flaws and quirks.', 'Should it be the case that the claim that if death results from injuries, then if haloperidol is also an excellent antiemetic if that is required, then students help educators does not reflect reality, it follows that if most mortality affects conservation, then most toads have natural predators.', 'Given that the claim that if death results from injuries, then if haloperidol is also an excellent antiemetic if that is required, then students help educators does not reflect reality, it can be inferred that the statement, if most mortality affects conservation, then most toads have natural predators, does not hold.', "So long as some particles accumulate in nuclei, 'doctors are people, and people have hang-ups and flaws and quirks' is true.", 'Once we know the claim that either if cardiac arrhythmias can range in severity from entirely benign to immediately life threatening, then a bryony is a vine or death results from injuries does not reflect reality, we also know that most jackals weigh pounds.', "So long as most jackals weigh pounds, 'some particles accumulate in nuclei' is true."]
|
We know that either freshwater fishing is good in lakes and local rivers or haloperidol is also an excellent antiemetic if that is required. Provided that freshwater fishing is good in lakes and local rivers, we know that students help educators. So long as if cardiac arrhythmias can range in severity from entirely benign to immediately life threatening, then a bryony is a vine, 'if haloperidol is also an excellent antiemetic if that is required, then students help educators' is true. It is not the case that doctors are people, and people have hang-ups and flaws and quirks. Should it be the case that the claim that if death results from injuries, then if haloperidol is also an excellent antiemetic if that is required, then students help educators does not reflect reality, it follows that if most mortality affects conservation, then most toads have natural predators. Given that the claim that if death results from injuries, then if haloperidol is also an excellent antiemetic if that is required, then students help educators does not reflect reality, it can be inferred that the statement, if most mortality affects conservation, then most toads have natural predators, does not hold. So long as some particles accumulate in nuclei, 'doctors are people, and people have hang-ups and flaws and quirks' is true. Once we know the claim that either if cardiac arrhythmias can range in severity from entirely benign to immediately life threatening, then a bryony is a vine or death results from injuries does not reflect reality, we also know that most jackals weigh pounds. So long as most jackals weigh pounds, 'some particles accumulate in nuclei' is true.
|
Those that suggest students help educators are right.
|
Students will have observations.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (If [2], then [0].).
If [5], then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either (If [3], then [4].) or [5].).), then [6]. [SC1-3]
Not [6].
Therefore, Either (If [3], then [4].) or [5]..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either (If [3], then [4].) or [5].).), then [9]. [SC1-4]
If [9], then [6].
Therefore, If (Not (Either (If [3], then [4].) or [5].).), then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (Either (If [3], then [4].) or [5].).), then [10].
If [10], then [9].
Therefore, If (Not (Either (If [3], then [4].) or [5].).), then [9]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then (If [2], then [0].).).), then (If [7], then [8].).
If (Not (If [5], then (If [2], then [0].).).), then (Not (If [7], then [8].).).
Therefore, If [5], then (If [2], then [0].)..
|
{0: 'Students help educators.', 1: 'Freshwater fishing is good in lakes and local rivers.', 2: 'Haloperidol is also an excellent antiemetic if that is required.', 3: 'Cardiac arrhythmias can range in severity from entirely benign to immediately life threatening.', 4: 'A bryony is a vine.', 5: 'Death results from injuries.', 6: 'Doctors are people, and people have hang-ups and flaws and quirks.', 7: 'Most mortality affects conservation.', 8: 'Most toads have natural predators.', 9: 'Some particles accumulate in nuclei.', 10: 'Most jackals weigh pounds.'}
| 6 |
5,279 |
['There is good reason to believe that either most men adopt diets or iguanas have a wide variety of nutritional needs.', 'Assuming we know that the claim that if most men adopt diets, then much more mucus is produced when the body is fighting a cold is false, we know that some people mistakenly believe that if dehydration isa dryness, then capitalists are in the business of making money.', "When much more mucus is produced when the body is fighting a cold is true, it follows that the notion that 'love is to be experienced in the depths of peace' is untrue.", 'There is good reason to believe that either workplace hazards can contribute significantly to infertility or if we know that the claim that if most men adopt diets, then much more mucus is produced when the body is fighting a cold is false, then if dehydration isa dryness, then capitalists are in the business of making money.', 'The claim that workplace hazards can contribute significantly to infertility does not correspond with reality.', 'Should it be the case that much more mucus is produced when the body is fighting a cold, it follows that astronauts use tools.', 'Assuming astronauts use tools, we know that love is to be experienced in the depths of peace.']
|
There is good reason to believe that either most men adopt diets or iguanas have a wide variety of nutritional needs. Assuming we know that the claim that if most men adopt diets, then much more mucus is produced when the body is fighting a cold is false, we know that some people mistakenly believe that if dehydration isa dryness, then capitalists are in the business of making money. When much more mucus is produced when the body is fighting a cold is true, it follows that the notion that 'love is to be experienced in the depths of peace' is untrue. There is good reason to believe that either workplace hazards can contribute significantly to infertility or if we know that the claim that if most men adopt diets, then much more mucus is produced when the body is fighting a cold is false, then if dehydration isa dryness, then capitalists are in the business of making money. The claim that workplace hazards can contribute significantly to infertility does not correspond with reality. Should it be the case that much more mucus is produced when the body is fighting a cold, it follows that astronauts use tools. Assuming astronauts use tools, we know that love is to be experienced in the depths of peace.
|
It is reasonable to believe that iguanas have a wide variety of nutritional needs.
|
It is reasonable to believe that iguanas have a wide variety of nutritional needs.
|
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]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then (If [3], then [4].). [SC1-3]
If (Not (If [1], then [2].).), then (Not (If [3], then [4].).).
Therefore, If [1], then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [1], then [2].).), then (If [3], then [4].).).
Not [7].
Therefore, If (Not (If [1], then [2].).), then (If [3], then [4].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [5]. [SC1-3]
If [2], then (Not [5].).
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [6].
If [6], then [5].
Therefore, If [2], then [5]..
|
{0: 'Iguanas have a wide variety of nutritional needs.', 1: 'Most men adopt diets.', 2: 'Much more mucus is produced when the body is fighting a cold.', 3: 'Dehydration isa dryness.', 4: 'Capitalists are in the business of making money.', 5: 'Love is to be experienced in the depths of peace.', 6: 'Astronauts use tools.', 7: 'Workplace hazards can contribute significantly to infertility.'}
| 6 |
5,638 |
['The claim that all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer has no merit.', 'Either one or both of these statements are true: thermal patterns measure autonomic activity, or terrorism is a global menace, which clearly calls for global action.', 'If thermal patterns measure autonomic activity, then either ethnicity is more a matter of sentiment than of genetics or most chemicals can have serious effects.', 'Should it be the case that terrorism is a global menace, which clearly calls for global action, it follows that either ethnicity is more a matter of sentiment than of genetics or most chemicals can have serious effects.', 'When the claim that if ethnicity is more a matter of sentiment than of genetics, then if if an incursion is an entrance, then most body temperature reaches levels, then all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer does not correspond with reality is true, it follows that some shrews starve to death.', 'The claim that some shrews starve to death does not reflect reality.', "Once we know either classification is the computation of a concept hierarchy based on subsumption or uninterrupted concentration is the key to tapping into our brain's unconscious abilities, we also know that if most chemicals can have serious effects, then if if an incursion is an entrance, then most body temperature reaches levels, then all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer.", "There is good reason to believe that either any cat is a mammal or either classification is the computation of a concept hierarchy based on subsumption or uninterrupted concentration is the key to tapping into our brain's unconscious abilities.", 'Those that suggest any cat is a mammal are wrong.']
|
The claim that all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer has no merit. Either one or both of these statements are true: thermal patterns measure autonomic activity, or terrorism is a global menace, which clearly calls for global action. If thermal patterns measure autonomic activity, then either ethnicity is more a matter of sentiment than of genetics or most chemicals can have serious effects. Should it be the case that terrorism is a global menace, which clearly calls for global action, it follows that either ethnicity is more a matter of sentiment than of genetics or most chemicals can have serious effects. When the claim that if ethnicity is more a matter of sentiment than of genetics, then if if an incursion is an entrance, then most body temperature reaches levels, then all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer does not correspond with reality is true, it follows that some shrews starve to death. The claim that some shrews starve to death does not reflect reality. Once we know either classification is the computation of a concept hierarchy based on subsumption or uninterrupted concentration is the key to tapping into our brain's unconscious abilities, we also know that if most chemicals can have serious effects, then if if an incursion is an entrance, then most body temperature reaches levels, then all higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer. There is good reason to believe that either any cat is a mammal or either classification is the computation of a concept hierarchy based on subsumption or uninterrupted concentration is the key to tapping into our brain's unconscious abilities. Those that suggest any cat is a mammal are wrong.
|
The claim that if an incursion is an entrance, then most body temperature reaches levels is false.
|
The claim that if an incursion is an entrance, then most body temperature reaches levels is false.
|
TRUE
|
Modus Tonens:
If (If [0], then [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (If [0], then [1].), then [2].). [SC2-2]
If [4], then (If (If [0], then [1].), then [2].). [SC3-2]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or [4].).
If [8], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (If (If [0], then [1].), then [2].).).), then [9].
Not [9].
Therefore, If [3], then (If (If [0], then [1].), then [2].)..
[SC3-2]
Modus Ponens:
If (Either [5] or [6].), then (If [4], then (If (If [0], then [1].), then [2].).).
Either [5] or [6]. [SC2-3]
Therefore, If [4], then (If (If [0], then [1].), then [2].)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (Either [5] or [6].).
Not [10].
Therefore, Either [5] or [6]..
|
{0: 'An incursion is an entrance.', 1: 'Most body temperature reaches levels.', 2: 'All higher animals have a true coelom, a body cavity formed from within the mesoderm tissue layer.', 3: 'Ethnicity is more a matter of sentiment than of genetics.', 4: 'Most chemicals can have serious effects.', 5: 'Classification is the computation of a concept hierarchy based on subsumption.', 6: "Uninterrupted concentration is the key to tapping into our brain's unconscious abilities.", 7: 'Thermal patterns measure autonomic activity.', 8: 'Terrorism is a global menace, which clearly calls for global action.', 9: 'Some shrews starve to death.', 10: 'Any cat is a mammal.'}
| 6 |
5,485 |
['On the condition that mammalian teeth are highly variable or heterodont , it is definitely the case that most waste causes pollution.', "Provided that the claim that either cash games use real money to explore interpersonal skills or mammalian teeth are highly variable or heterodont is false, we know that the statement that 'filament has sensory functions' is incorrect.", "Whenever it is true that it is a common misconception that if the claim that either cash games use real money to explore interpersonal skills or mammalian teeth are highly variable or heterodont is false, then filament has sensory functions, 'vitamin D is found in certain foods including milk' is true.", 'The claim that vitamin D is found in certain foods including milk has no merit.', "Whenever it is true that the claim that if the claim that if cash games use real money to explore interpersonal skills, then most waste causes pollution does not reflect reality, then most bears have white fur does not reflect reality, 'good literati is the essence of simplicity' is true.", 'Some people mistakenly believe that good literati is the essence of simplicity.', "If we know that the claim that if the claim that if cash games use real money to explore interpersonal skills, then most waste causes pollution does not reflect reality, then the statement that 'most bears have white fur' is incorrect is false, then a sponge is absorbent.", "The statement 'a sponge is absorbent' can be considered false."]
|
On the condition that mammalian teeth are highly variable or heterodont , it is definitely the case that most waste causes pollution. Provided that the claim that either cash games use real money to explore interpersonal skills or mammalian teeth are highly variable or heterodont is false, we know that the statement that 'filament has sensory functions' is incorrect. Whenever it is true that it is a common misconception that if the claim that either cash games use real money to explore interpersonal skills or mammalian teeth are highly variable or heterodont is false, then filament has sensory functions, 'vitamin D is found in certain foods including milk' is true. The claim that vitamin D is found in certain foods including milk has no merit. Whenever it is true that the claim that if the claim that if cash games use real money to explore interpersonal skills, then most waste causes pollution does not reflect reality, then most bears have white fur does not reflect reality, 'good literati is the essence of simplicity' is true. Some people mistakenly believe that good literati is the essence of simplicity. If we know that the claim that if the claim that if cash games use real money to explore interpersonal skills, then most waste causes pollution does not reflect reality, then the statement that 'most bears have white fur' is incorrect is false, then a sponge is absorbent. The statement 'a sponge is absorbent' can be considered false.
|
We can assume that most waste causes pollution.
|
We can assume that most waste causes pollution.
|
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]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [3].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [2].).), then [3].).), then [6].
Not [6].
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [4]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then [4].).), then [5].
Not [5].
Therefore, If (Not (If [1], then [0].).), then [4]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then [7].
Not [7].
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
|
{0: 'Most waste causes pollution.', 1: 'Cash games use real money to explore interpersonal skills.', 2: 'Mammalian teeth are highly variable or heterodont .', 3: 'Filament has sensory functions.', 4: 'Most bears have white fur.', 5: 'Good literati is the essence of simplicity.', 6: 'Vitamin D is found in certain foods including milk.', 7: 'A sponge is absorbent.'}
| 6 |
5,568 |
["The notion that 'light is the energy supply for photosynthesis' is untrue.", 'It is not true that several processes appear to contribute to sympatric speciation.', 'Once we know the claim that if the statement, if the claim that microphones have (part) sections has no merit, then light is the energy supply for photosynthesis, does not hold, then several processes appear to contribute to sympatric speciation does not correspond with reality, we also know that communications systems are the lifeblood of any business.', "So long as the statement that states if communications systems are the lifeblood of any business, then email marketing is new technology in the direct marketing world is false, 'forks are located in kitchens' is true.", 'It is a common misconception that forks are located in kitchens.', 'On the condition that communications systems are the lifeblood of any business, it is definitely the case that geraniums grow from seeds.', "Whenever it is true that geraniums grow from seeds, 'we know that the claim that email marketing is new technology in the direct marketing world is false' is true."]
|
The notion that 'light is the energy supply for photosynthesis' is untrue. It is not true that several processes appear to contribute to sympatric speciation. Once we know the claim that if the statement, if the claim that microphones have (part) sections has no merit, then light is the energy supply for photosynthesis, does not hold, then several processes appear to contribute to sympatric speciation does not correspond with reality, we also know that communications systems are the lifeblood of any business. So long as the statement that states if communications systems are the lifeblood of any business, then email marketing is new technology in the direct marketing world is false, 'forks are located in kitchens' is true. It is a common misconception that forks are located in kitchens. On the condition that communications systems are the lifeblood of any business, it is definitely the case that geraniums grow from seeds. Whenever it is true that geraniums grow from seeds, 'we know that the claim that email marketing is new technology in the direct marketing world is false' is true.
|
Those that suggest microphones have (part) sections are right.
|
We know that the claim that microphones have (part) sections is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [3].
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-4]
If [3], then (Not [4].). [SC2-4]
Therefore, Not [3]..
[SC1-4]
Modus Tonens:
If (Not (If [3], then [4].).), then [6].
Not [6].
Therefore, If [3], then [4]..
[SC2-4]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (Not [4].).
Therefore, If [3], then (Not [4].)..
|
{0: 'Microphones have (part) sections.', 1: 'Light is the energy supply for photosynthesis.', 2: 'Several processes appear to contribute to sympatric speciation.', 3: 'Communications systems are the lifeblood of any business.', 4: 'Email marketing is new technology in the direct marketing world.', 5: 'Geraniums grow from seeds.', 6: 'Forks are located in kitchens.'}
| 6 |
5,108 |
['If blacks are more likely to be born too little and less likely to survive their first year, then flu infects up to one hundred million people in the Northern Hemisphere every year.', "Either one or both of these statements are true: color is when they're high, or most snakes seek out mates.", "Whenever it is true that most snakes seek out mates, 'it is not true that flu infects up to one hundred million people in the Northern Hemisphere every year' is true.", "Whenever it is true that the statement that states digger wasps feed on flower nectar is false, 'some spiders love food' is true.", 'If some spiders love food, then blacks are more likely to be born too little and less likely to survive their first year.', 'The claim that conjunctions are similar to prepositions in that they link words within a sentence holds true.', "Assuming the claim that if conjunctions are similar to prepositions in that they link words within a sentence, then if color is when they're high, then it is not true that flu infects up to one hundred million people in the Northern Hemisphere every year does not reflect reality, we know that if snakes have numerous pairs of ribs, then some ammonoids swam in the sea, while others lived on the seafloor.", "The notion that 'if snakes have numerous pairs of ribs, then some ammonoids swam in the sea, while others lived on the seafloor' is untrue."]
|
If blacks are more likely to be born too little and less likely to survive their first year, then flu infects up to one hundred million people in the Northern Hemisphere every year. Either one or both of these statements are true: color is when they're high, or most snakes seek out mates. Whenever it is true that most snakes seek out mates, 'it is not true that flu infects up to one hundred million people in the Northern Hemisphere every year' is true. Whenever it is true that the statement that states digger wasps feed on flower nectar is false, 'some spiders love food' is true. If some spiders love food, then blacks are more likely to be born too little and less likely to survive their first year. The claim that conjunctions are similar to prepositions in that they link words within a sentence holds true. Assuming the claim that if conjunctions are similar to prepositions in that they link words within a sentence, then if color is when they're high, then it is not true that flu infects up to one hundred million people in the Northern Hemisphere every year does not reflect reality, we know that if snakes have numerous pairs of ribs, then some ammonoids swam in the sea, while others lived on the seafloor. The notion that 'if snakes have numerous pairs of ribs, then some ammonoids swam in the sea, while others lived on the seafloor' is untrue.
|
It is reasonable to believe that digger wasps feed on flower nectar.
|
The claim that digger wasps feed on flower nectar has no merit.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [4]. [SC1-2]
If [4], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [6].
If [6], then [4].
Therefore, If (Not [0].), then [4]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (Not [1].).). [SC1-3]
[5]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (If [2], then (Not [1].).).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [5], then (If [2], then (Not [1].).)..
|
{0: 'Digger wasps feed on flower nectar.', 1: 'Flu infects up to one hundred million people in the Northern Hemisphere every year.', 2: "Color is when they're high.", 3: 'Most snakes seek out mates.', 4: 'Blacks are more likely to be born too little and less likely to survive their first year.', 5: 'Conjunctions are similar to prepositions in that they link words within a sentence.', 6: 'Some spiders love food.', 7: 'Snakes have numerous pairs of ribs.', 8: 'Some ammonoids swam in the sea, while others lived on the seafloor.'}
| 6 |
5,367 |
['It is a common misconception that if treetops create canopy, then inference draws from evidence.', "If the notion that 'if it is not true that sand bars are banks, then the claim that agriculture is also the largest source of methane and nitrous oxide emission does not correspond with reality' is untrue, then african american mothers have birth outcomes.", 'The claim that african american mothers have birth outcomes does not reflect reality.', 'Once we know running car crashs, we also know that either if treetops create canopy, then inference draws from evidence or if it is not true that sand bars are banks, then agriculture is also the largest source of methane and nitrous oxide emission.', 'It is rational to believe that either hatchlings avoid some predation by hatching and moving to the ocean at night or mascots have (part) cytoplasm.', 'Assuming hatchlings avoid some predation by hatching and moving to the ocean at night, we know that either a clinker is a fragment or running car crashs.', 'Provided that mascots have (part) cytoplasm, we know that either a clinker is a fragment or running car crashs.', 'Assuming a clinker is a fragment, we know that older mothers live longer.', 'Assuming older mothers live longer, we know that either if treetops create canopy, then inference draws from evidence or if it is not true that sand bars are banks, then agriculture is also the largest source of methane and nitrous oxide emission.']
|
It is a common misconception that if treetops create canopy, then inference draws from evidence. If the notion that 'if it is not true that sand bars are banks, then the claim that agriculture is also the largest source of methane and nitrous oxide emission does not correspond with reality' is untrue, then african american mothers have birth outcomes. The claim that african american mothers have birth outcomes does not reflect reality. Once we know running car crashs, we also know that either if treetops create canopy, then inference draws from evidence or if it is not true that sand bars are banks, then agriculture is also the largest source of methane and nitrous oxide emission. It is rational to believe that either hatchlings avoid some predation by hatching and moving to the ocean at night or mascots have (part) cytoplasm. Assuming hatchlings avoid some predation by hatching and moving to the ocean at night, we know that either a clinker is a fragment or running car crashs. Provided that mascots have (part) cytoplasm, we know that either a clinker is a fragment or running car crashs. Assuming a clinker is a fragment, we know that older mothers live longer. Assuming older mothers live longer, we know that either if treetops create canopy, then inference draws from evidence or if it is not true that sand bars are banks, then agriculture is also the largest source of methane and nitrous oxide emission.
|
The idea that sand bars are banks is true.
|
It is a common misconception that sand bars are banks.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (Not [0].), then [1].). [SC1-2]
Not (If [3], then [4].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (Either (If [3], then [4].) or (If (Not [0].), then [1].).). [SC2-3]
If [6], then (Either (If [3], then [4].) or (If (Not [0].), then [1].).).
Therefore, Either (If [3], then [4].) or (If (Not [0].), then [1].)..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [5] or [6].).
If [9], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-3]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (Either (If [3], then [4].) or (If (Not [0].), then [1].).).
Therefore, If [5], then (Either (If [3], then [4].) or (If (Not [0].), then [1].).)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Sand bars are banks.', 1: 'Agriculture is also the largest source of methane and nitrous oxide emission.', 2: 'African american mothers have birth outcomes.', 3: 'Treetops create canopy.', 4: 'Inference draws from evidence.', 5: 'A clinker is a fragment.', 6: 'Running car crashs.', 7: 'Older mothers live longer.', 8: 'Hatchlings avoid some predation by hatching and moving to the ocean at night.', 9: 'Mascots have (part) cytoplasm.'}
| 6 |
5,644 |
['It is not the case that either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins.', "Whenever it is true that it is not the case that if the statement that states either either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins or the statement that 'if some roses are resistant to aphids and mildew, then awareness is the backdrop against which all individual consciousness and experience arises' is incorrect is false, then hawks are quite bold when an intruder happens to come upon a female nesting, 'either winter squash is also a source of potassium, niacin, iron and beta carotene or crabs live in locations' is true.", 'We know that either brazil is the only Portuguese speaking country in South America or brides have (part) vacuoles.', 'Should it be the case that brazil is the only Portuguese speaking country in South America, it follows that we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false.', "Should it be the case that it is not true that if it is not the case that if the statement that states either either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins or the statement that 'if some roses are resistant to aphids and mildew, then awareness is the backdrop against which all individual consciousness and experience arises' is incorrect is false, then hawks are quite bold when an intruder happens to come upon a female nesting, then the claim that either winter squash is also a source of potassium, niacin, iron and beta carotene or crabs live in locations is false, it follows that obscene material is material which deals with sex in a manner appealing to prurient interest.", 'We know that the claim that obscene material is material which deals with sex in a manner appealing to prurient interest is false.', 'Given that the claim that if brides have (part) vacuoles, then we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false has no merit, it can be inferred that versions contain supplementary materials.', 'On the condition that the claim that if brides have (part) vacuoles, then we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false has no merit, it is definitely the case that some people mistakenly believe that versions contain supplementary materials.']
|
It is not the case that either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins. Whenever it is true that it is not the case that if the statement that states either either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins or the statement that 'if some roses are resistant to aphids and mildew, then awareness is the backdrop against which all individual consciousness and experience arises' is incorrect is false, then hawks are quite bold when an intruder happens to come upon a female nesting, 'either winter squash is also a source of potassium, niacin, iron and beta carotene or crabs live in locations' is true. We know that either brazil is the only Portuguese speaking country in South America or brides have (part) vacuoles. Should it be the case that brazil is the only Portuguese speaking country in South America, it follows that we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false. Should it be the case that it is not true that if it is not the case that if the statement that states either either a megabyte is an unit or toxins accumulate, stimulating the nerves, and the pain begins or the statement that 'if some roses are resistant to aphids and mildew, then awareness is the backdrop against which all individual consciousness and experience arises' is incorrect is false, then hawks are quite bold when an intruder happens to come upon a female nesting, then the claim that either winter squash is also a source of potassium, niacin, iron and beta carotene or crabs live in locations is false, it follows that obscene material is material which deals with sex in a manner appealing to prurient interest. We know that the claim that obscene material is material which deals with sex in a manner appealing to prurient interest is false. Given that the claim that if brides have (part) vacuoles, then we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false has no merit, it can be inferred that versions contain supplementary materials. On the condition that the claim that if brides have (part) vacuoles, then we know that the claim that hawks are quite bold when an intruder happens to come upon a female nesting is false has no merit, it is definitely the case that some people mistakenly believe that versions contain supplementary materials.
|
The statement that 'if some roses are resistant to aphids and mildew, then awareness is the backdrop against which all individual consciousness and experience arises' is incorrect.
|
Provided that some roses are resistant to aphids and mildew, we know that awareness is the backdrop against which all individual consciousness and experience arises
|
FALSE
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Not (If [0], then [1].).). [SC1-1]
Not (Either [2] or [3].).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Tonens:
If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Either (Either [2] or [3].) or (Not (If [0], then [1].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4].).), then (Either [7] or [8].).
If (Not (If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4].).), then (Not (Either [7] or [8].).). [SC2-3]
Therefore, If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4].).), then (Not (Either [7] or [8].).).).), then [9].
Not [9].
Therefore, If (Not (If (Not (Either (Either [2] or [3].) or (Not (If [0], then [1].).).).), then [4].).), then (Not (Either [7] or [8].).)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].). [SC3-3]
Therefore, Not [4]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Not [4].).).), then [10].
If (Not (If [6], then (Not [4].).).), then (Not [10].).
Therefore, If [6], then (Not [4].)..
|
{0: 'Some roses are resistant to aphids and mildew.', 1: 'Awareness is the backdrop against which all individual consciousness and experience arises.', 2: 'A megabyte is an unit.', 3: 'Toxins accumulate, stimulating the nerves, and the pain begins.', 4: 'Hawks are quite bold when an intruder happens to come upon a female nesting.', 5: 'Brazil is the only Portuguese speaking country in South America.', 6: 'Brides have (part) vacuoles.', 7: 'Winter squash is also a source of potassium, niacin, iron and beta carotene.', 8: 'Crabs live in locations.', 9: 'Obscene material is material which deals with sex in a manner appealing to prurient interest.', 10: 'Versions contain supplementary materials.'}
| 6 |
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