id
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| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
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stringlengths 54
2.02k
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stringlengths 51
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5,785 |
['Given that life is equated to a game with individuals competing to succeed, it can be inferred that the statement, several drugs can prevent heartworm infection, does not hold.', 'We know that either water is a replenishable resource, which comes from rain or modern taxonomy has to integrate genetics and ecology.', "One may reasonably assume that if the statement that 'if modern taxonomy has to integrate genetics and ecology, then life is equated to a game with individuals competing to succeed' is incorrect, then the claim that property rights help ensure peaceful interactions among individuals does not reflect reality.", 'There is good reason to believe that either if horses are physiologically and psychologically running animals, then late presentation is an important risk factor for blindness caused by advanced glaucoma or dry beans are an excellent, convenient source of soluble fiber.', 'On the condition that if horses are physiologically and psychologically running animals, then late presentation is an important risk factor for blindness caused by advanced glaucoma, it is definitely the case that the claim that water is a replenishable resource, which comes from rain does not reflect reality.', 'When dry beans are an excellent, convenient source of soluble fiber is true, it follows that the claim that water is a replenishable resource, which comes from rain does not reflect reality.', "We know that at least one of two things is true: formal logic is the study and analysis of good reasoning, or if the statement that 'if modern taxonomy has to integrate genetics and ecology, then life is equated to a game with individuals competing to succeed' is incorrect, then property rights help ensure peaceful interactions among individuals.", 'Some people mistakenly believe that formal logic is the study and analysis of good reasoning.']
|
Given that life is equated to a game with individuals competing to succeed, it can be inferred that the statement, several drugs can prevent heartworm infection, does not hold. We know that either water is a replenishable resource, which comes from rain or modern taxonomy has to integrate genetics and ecology. One may reasonably assume that if the statement that 'if modern taxonomy has to integrate genetics and ecology, then life is equated to a game with individuals competing to succeed' is incorrect, then the claim that property rights help ensure peaceful interactions among individuals does not reflect reality. There is good reason to believe that either if horses are physiologically and psychologically running animals, then late presentation is an important risk factor for blindness caused by advanced glaucoma or dry beans are an excellent, convenient source of soluble fiber. On the condition that if horses are physiologically and psychologically running animals, then late presentation is an important risk factor for blindness caused by advanced glaucoma, it is definitely the case that the claim that water is a replenishable resource, which comes from rain does not reflect reality. When dry beans are an excellent, convenient source of soluble fiber is true, it follows that the claim that water is a replenishable resource, which comes from rain does not reflect reality. We know that at least one of two things is true: formal logic is the study and analysis of good reasoning, or if the statement that 'if modern taxonomy has to integrate genetics and ecology, then life is equated to a game with individuals competing to succeed' is incorrect, then property rights help ensure peaceful interactions among individuals. Some people mistakenly believe that formal logic is the study and analysis of good reasoning.
|
The statement, several drugs can prevent heartworm infection, does not hold.
|
The statement 'several drugs can prevent heartworm infection' can be considered true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [3].).), then [4]. [SC1-3]
If (Not (If [1], then [3].).), then (Not [4].).
Therefore, If [1], then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If [1], then [3].).), then [4].).
Not [8].
Therefore, If (Not (If [1], then [3].).), then [4]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (Not [2].).
If [7], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Several drugs can prevent heartworm infection.', 1: 'Modern taxonomy has to integrate genetics and ecology.', 2: 'Water is a replenishable resource, which comes from rain.', 3: 'Life is equated to a game with individuals competing to succeed.', 4: 'Property rights help ensure peaceful interactions among individuals.', 5: 'Horses are physiologically and psychologically running animals.', 6: 'Late presentation is an important risk factor for blindness caused by advanced glaucoma.', 7: 'Dry beans are an excellent, convenient source of soluble fiber.', 8: 'Formal logic is the study and analysis of good reasoning.'}
| 6 |
5,873 |
['When some people mistakenly believe that if some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, then histamine can also close bronchial tubes and make breathing difficult is true, it follows that either vernal pools are shallow depressions that fill with rainwater or schools are the main institution of socialization.', 'Provided that some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, we know that dead bodies are located in cellars.', 'Provided that dead bodies are located in cellars, we know that it is not the case that histamine can also close bronchial tubes and make breathing difficult.', 'Many people rightly believe that intake helps lower blood pressure.', 'The claim that many rocks are named based on what kinds of minerals they have has no merit.', 'Once we know the claim that if intake helps lower blood pressure, then if some people mistakenly believe that if some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, then histamine can also close bronchial tubes and make breathing difficult, then the claim that either vernal pools are shallow depressions that fill with rainwater or schools are the main institution of socialization does not correspond with reality does not reflect reality, we also know that birth defects are common.', "Whenever it is true that birth defects are common, 'many rocks are named based on what kinds of minerals they have' is true."]
|
When some people mistakenly believe that if some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, then histamine can also close bronchial tubes and make breathing difficult is true, it follows that either vernal pools are shallow depressions that fill with rainwater or schools are the main institution of socialization. Provided that some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, we know that dead bodies are located in cellars. Provided that dead bodies are located in cellars, we know that it is not the case that histamine can also close bronchial tubes and make breathing difficult. Many people rightly believe that intake helps lower blood pressure. The claim that many rocks are named based on what kinds of minerals they have has no merit. Once we know the claim that if intake helps lower blood pressure, then if some people mistakenly believe that if some people mistakenly believe that either conditions include severe injuries or most penguins are member of families, then histamine can also close bronchial tubes and make breathing difficult, then the claim that either vernal pools are shallow depressions that fill with rainwater or schools are the main institution of socialization does not correspond with reality does not reflect reality, we also know that birth defects are common. Whenever it is true that birth defects are common, 'many rocks are named based on what kinds of minerals they have' is true.
|
Either one or both of these statements are true: conditions include severe injuries, or most penguins are member of families.
|
We know that at least one of two things is true: many conditions can weaken the heart and cause congestive heart failure, or penguins are waterfowls.
|
Uncertain
|
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 (Either [4] or [5].).
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).).). [SC1-3]
[6]
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).)..
[SC1-3]
Modus Tonens:
If (Not (If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).).).).), then [7]. [SC1-4]
Not [7].
Therefore, If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).).).).), then [8].
If [8], then [7].
Therefore, If (Not (If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (Either [4] or [5].).).).).), then [7]..
[SC2-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [3].
If [3], then (Not [2].).
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
|
{0: 'Conditions include severe injuries.', 1: 'Most penguins are member of families.', 2: 'Histamine can also close bronchial tubes and make breathing difficult.', 3: 'Dead bodies are located in cellars.', 4: 'Vernal pools are shallow depressions that fill with rainwater.', 5: 'Schools are the main institution of socialization.', 6: 'Intake helps lower blood pressure.', 7: 'Many rocks are named based on what kinds of minerals they have.', 8: 'Birth defects are common.'}
| 6 |
5,065 |
['Should it be the case that membranes are essential for cells to survive and function, it follows that it is not true that weight loss is achieved by eating less and exercising more.', 'Given that either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, it can be inferred that it is not true that weight loss is achieved by eating less and exercising more.', "Provided that it is not true that either ants sometimes find their way to the nectar or either membranes are essential for cells to survive and function or either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, we know that the notion that 'either mediation can help people to move beyond their positions to understanding of their interests or asteroids are the rocky leftover debris from the formation of our solar system' is untrue.", 'One may reasonably assume that if ants sometimes find their way to the nectar, then if kitchenettes are part of apartments, then assembly processes can include humans, robots and other mechanical methods.', 'If the statement, if it is not true that either ants sometimes find their way to the nectar or either membranes are essential for cells to survive and function or either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, then either mediation can help people to move beyond their positions to understanding of their interests or asteroids are the rocky leftover debris from the formation of our solar system, does not hold, then research chemists spend most of their time in labs.', 'Some people mistakenly believe that research chemists spend most of their time in labs.', 'On the condition that computers are a communication resource, it is definitely the case that the claim that if kitchenettes are part of apartments, then assembly processes can include humans, robots and other mechanical methods does not reflect reality.', 'The idea that computers are a communication resource is true.']
|
Should it be the case that membranes are essential for cells to survive and function, it follows that it is not true that weight loss is achieved by eating less and exercising more. Given that either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, it can be inferred that it is not true that weight loss is achieved by eating less and exercising more. Provided that it is not true that either ants sometimes find their way to the nectar or either membranes are essential for cells to survive and function or either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, we know that the notion that 'either mediation can help people to move beyond their positions to understanding of their interests or asteroids are the rocky leftover debris from the formation of our solar system' is untrue. One may reasonably assume that if ants sometimes find their way to the nectar, then if kitchenettes are part of apartments, then assembly processes can include humans, robots and other mechanical methods. If the statement, if it is not true that either ants sometimes find their way to the nectar or either membranes are essential for cells to survive and function or either excess humidity can, over time, rot window woodwork or cancer is a very serious subject and effects many people everyday, then either mediation can help people to move beyond their positions to understanding of their interests or asteroids are the rocky leftover debris from the formation of our solar system, does not hold, then research chemists spend most of their time in labs. Some people mistakenly believe that research chemists spend most of their time in labs. On the condition that computers are a communication resource, it is definitely the case that the claim that if kitchenettes are part of apartments, then assembly processes can include humans, robots and other mechanical methods does not reflect reality. The idea that computers are a communication resource is true.
|
It is not true that weight loss is achieved by eating less and exercising more.
|
It is not the case that weight loss indicates that the battery is emitting gas and losing recombination efficiency.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then (Not [0].).
If (Either [2] or [3].), then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or (Either [2] or [3].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (Either [1] or (Either [2] or [3].).).).), then (Either [7] or [8].). [SC1-3]
If (Not (Either [4] or (Either [1] or (Either [2] or [3].).).).), then (Not (Either [7] or [8].).).
Therefore, Either [4] or (Either [1] or (Either [2] or [3].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [4] or (Either [1] or (Either [2] or [3].).).).), then (Either [7] or [8].).).), then [10].
Not [10].
Therefore, If (Not (Either [4] or (Either [1] or (Either [2] or [3].).).).), then (Either [7] or [8].)..
[SC2-2]
Modus Tonens:
If [4], then (If [5], then [6].).
Not (If [5], then [6].). [SC2-3]
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If [9], then (Not (If [5], then [6].).).
[9]
Therefore, Not (If [5], then [6].)..
|
{0: 'Weight loss is achieved by eating less and exercising more.', 1: 'Membranes are essential for cells to survive and function.', 2: 'Excess humidity can, over time, rot window woodwork.', 3: 'Cancer is a very serious subject and effects many people everyday.', 4: 'Ants sometimes find their way to the nectar.', 5: 'Kitchenettes are part of apartments.', 6: 'Assembly processes can include humans, robots and other mechanical methods.', 7: 'Mediation can help people to move beyond their positions to understanding of their interests.', 8: 'Asteroids are the rocky leftover debris from the formation of our solar system.', 9: 'Computers are a communication resource.', 10: 'Research chemists spend most of their time in labs.'}
| 6 |
5,902 |
['It is a fact that either geometry really begins in kindergarten with the concepts of size, area, perimeter, and symmetry or business innovation is as important as technological invention.', 'When geometry really begins in kindergarten with the concepts of size, area, perimeter, and symmetry is true, it follows that either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects.', 'It is rational to believe that either raptors have (part) brains or some people use garlic for energy.', 'When some people use garlic for energy is true, it follows that some people mistakenly believe that most human embryos undergo multiple cell division.', "The notion that 'religious fanatics are all fundamentally the same, differing only in details of mythology' is untrue.", 'We know that at least one of two things is true: ammonia is oxidized to nitrate also during the aeration process, or if raptors have (part) brains, then some people mistakenly believe that most human embryos undergo multiple cell division.', "The statement that 'ammonia is oxidized to nitrate also during the aeration process' is incorrect.", 'Given that those that suggest either religious fanatics are all fundamentally the same, differing only in details of mythology or if business innovation is as important as technological invention, then either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects are wrong, it can be inferred that most mountain goats use forest habitats.', 'Assuming those that suggest either religious fanatics are all fundamentally the same, differing only in details of mythology or if business innovation is as important as technological invention, then either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects are wrong, we know that the claim that most mountain goats use forest habitats is false.']
|
It is a fact that either geometry really begins in kindergarten with the concepts of size, area, perimeter, and symmetry or business innovation is as important as technological invention. When geometry really begins in kindergarten with the concepts of size, area, perimeter, and symmetry is true, it follows that either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects. It is rational to believe that either raptors have (part) brains or some people use garlic for energy. When some people use garlic for energy is true, it follows that some people mistakenly believe that most human embryos undergo multiple cell division. The notion that 'religious fanatics are all fundamentally the same, differing only in details of mythology' is untrue. We know that at least one of two things is true: ammonia is oxidized to nitrate also during the aeration process, or if raptors have (part) brains, then some people mistakenly believe that most human embryos undergo multiple cell division. The statement that 'ammonia is oxidized to nitrate also during the aeration process' is incorrect. Given that those that suggest either religious fanatics are all fundamentally the same, differing only in details of mythology or if business innovation is as important as technological invention, then either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects are wrong, it can be inferred that most mountain goats use forest habitats. Assuming those that suggest either religious fanatics are all fundamentally the same, differing only in details of mythology or if business innovation is as important as technological invention, then either most human embryos undergo multiple cell division or if birds are alert and aware of their surroundings, then distribution accounts for effects are wrong, we know that the claim that most mountain goats use forest habitats is false.
|
Assuming birds are alert and aware of their surroundings, we know that distribution accounts for effects.
|
Assuming birds are alert and aware of their surroundings, we know that distribution accounts for effects.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or (If [0], then [1].).).
If [4], then (Either [2] or (If [0], then [1].).). [SC3-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC3-2]
Disjunctive Syllogism:
Either [8] or (If [4], then (Either [2] or (If [0], then [1].).).). [SC1-3]
Not [8].
Therefore, If [4], then (Either [2] or (If [0], then [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [8] or (If [4], then (Either [2] or (If [0], then [1].).).).).), then [9].
If (Not (Either [8] or (If [4], then (Either [2] or (If [0], then [1].).).).).), then (Not [9].).
Therefore, Either [8] or (If [4], then (Either [2] or (If [0], then [1].).).)..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [2].). [SC2-2]
If [6], then (Not [2].).
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [5], then (Not [2].).).
Not [7].
Therefore, If [5], then (Not [2].)..
|
{0: 'Birds are alert and aware of their surroundings.', 1: 'Distribution accounts for effects.', 2: 'Most human embryos undergo multiple cell division.', 3: 'Geometry really begins in kindergarten with the concepts of size, area, perimeter, and symmetry.', 4: 'Business innovation is as important as technological invention.', 5: 'Raptors have (part) brains.', 6: 'Some people use garlic for energy.', 7: 'Ammonia is oxidized to nitrate also during the aeration process.', 8: 'Religious fanatics are all fundamentally the same, differing only in details of mythology.', 9: 'Most mountain goats use forest habitats.'}
| 6 |
5,317 |
['It is a fact that either phoenix is a commercial and manufacturing center in an agricultural region or the claim that a fly rod is a fishing rod does not reflect reality.', 'On the condition that either cut bulbs are the same as for Narcissus or devices require field operations, it is definitely the case that if shells are covering, then it is a common misconception that phoenix is a commercial and manufacturing center in an agricultural region.', 'Provided that kidney stones are calculuses, we know that if shells are covering, then it is a common misconception that phoenix is a commercial and manufacturing center in an agricultural region.', 'If if magic plays a key role, too, in traditional medicine, then plants require oxygen for respiration to carry out their functions of water and nutrient uptake, then shells are covering.', 'It is rational to believe that either either smaller cats are also able to eat a baby okapi or gondola cars have a roof and bench seats facing out or either either cut bulbs are the same as for Narcissus or devices require field operations or kidney stones are calculuses.', 'The claim that either smaller cats are also able to eat a baby okapi or gondola cars have a roof and bench seats facing out is false.', 'We know that either animals retain memory or if magic plays a key role, too, in traditional medicine, then plants require oxygen for respiration to carry out their functions of water and nutrient uptake.', "The statement that 'animals retain memory' is incorrect."]
|
It is a fact that either phoenix is a commercial and manufacturing center in an agricultural region or the claim that a fly rod is a fishing rod does not reflect reality. On the condition that either cut bulbs are the same as for Narcissus or devices require field operations, it is definitely the case that if shells are covering, then it is a common misconception that phoenix is a commercial and manufacturing center in an agricultural region. Provided that kidney stones are calculuses, we know that if shells are covering, then it is a common misconception that phoenix is a commercial and manufacturing center in an agricultural region. If if magic plays a key role, too, in traditional medicine, then plants require oxygen for respiration to carry out their functions of water and nutrient uptake, then shells are covering. It is rational to believe that either either smaller cats are also able to eat a baby okapi or gondola cars have a roof and bench seats facing out or either either cut bulbs are the same as for Narcissus or devices require field operations or kidney stones are calculuses. The claim that either smaller cats are also able to eat a baby okapi or gondola cars have a roof and bench seats facing out is false. We know that either animals retain memory or if magic plays a key role, too, in traditional medicine, then plants require oxygen for respiration to carry out their functions of water and nutrient uptake. The statement that 'animals retain memory' is incorrect.
|
The claim that a fly rod is a fishing rod does not reflect reality.
|
The idea that a fly rod is a fishing rod is true.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7]. [SC1-3]
If (Either [5] or [6].), then (If [2], then (Not [1].).).
If [7], then (If [2], then (Not [1].).).
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Either (Either [5] or [6].) or [7].).
Not (Either [8] or [9].).
Therefore, Either (Either [5] or [6].) or [7]..
[SC2-2]
Modus Ponens:
If (If [3], then [4].), then [2].
If [3], then [4]. [SC2-3]
Therefore, [2].
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If [3], then [4].).
Not [10].
Therefore, If [3], then [4]..
|
{0: 'A fly rod is a fishing rod.', 1: 'Phoenix is a commercial and manufacturing center in an agricultural region.', 2: 'Shells are covering.', 3: 'Magic plays a key role, too, in traditional medicine.', 4: 'Plants require oxygen for respiration to carry out their functions of water and nutrient uptake.', 5: 'Cut bulbs are the same as for Narcissus.', 6: 'Devices require field operations.', 7: 'Kidney stones are calculuses.', 8: 'Smaller cats are also able to eat a baby okapi.', 9: 'Gondola cars have a roof and bench seats facing out.', 10: 'Animals retain memory.'}
| 6 |
5,636 |
['On the condition that the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, it is definitely the case that swamps are found throughout the world.', 'Should it be the case that swamps are found throughout the world, it follows that neonatal deaths refer to deaths in the first four weeks of life.', 'The idea that sharks has-part stomachs is true.', "So long as either some mammals find on coasts or fanaticism is a dangerous mental illness, 'if sharks has-part stomachs, then if the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, then the statement, neonatal deaths refer to deaths in the first four weeks of life, does not hold' is true.", 'It is rational to believe that either most birds fly over oceans or trees hold soil in place and can deter mudslides and flooding.', 'Assuming most birds fly over oceans, we know that either some mammals find on coasts or fanaticism is a dangerous mental illness.', 'Given that trees hold soil in place and can deter mudslides and flooding, it can be inferred that if mice are valuable research animals that are genetically much more complicated than flies, then honeybees hum loudly on the flowers.', 'Either one or both of these statements are true: reptiles reproduce by laying their eggs on dry land, or if if mice are valuable research animals that are genetically much more complicated than flies, then honeybees hum loudly on the flowers, then if sharks has-part stomachs, then if the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, then the statement, neonatal deaths refer to deaths in the first four weeks of life, does not hold.', 'The claim that reptiles reproduce by laying their eggs on dry land does not correspond with reality.']
|
On the condition that the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, it is definitely the case that swamps are found throughout the world. Should it be the case that swamps are found throughout the world, it follows that neonatal deaths refer to deaths in the first four weeks of life. The idea that sharks has-part stomachs is true. So long as either some mammals find on coasts or fanaticism is a dangerous mental illness, 'if sharks has-part stomachs, then if the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, then the statement, neonatal deaths refer to deaths in the first four weeks of life, does not hold' is true. It is rational to believe that either most birds fly over oceans or trees hold soil in place and can deter mudslides and flooding. Assuming most birds fly over oceans, we know that either some mammals find on coasts or fanaticism is a dangerous mental illness. Given that trees hold soil in place and can deter mudslides and flooding, it can be inferred that if mice are valuable research animals that are genetically much more complicated than flies, then honeybees hum loudly on the flowers. Either one or both of these statements are true: reptiles reproduce by laying their eggs on dry land, or if if mice are valuable research animals that are genetically much more complicated than flies, then honeybees hum loudly on the flowers, then if sharks has-part stomachs, then if the claim that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction does not correspond with reality, then the statement, neonatal deaths refer to deaths in the first four weeks of life, does not hold. The claim that reptiles reproduce by laying their eggs on dry land does not correspond with reality.
|
It is a simple truth that control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction.
|
Those that suggest control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).). [SC1-2]
[3]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either (Either [4] or [5].) or (If [6], then [7].). [SC1-3]
If (Either [4] or [5].), then (If [3], then (If (Not [0].), then (Not [1].).).).
If (If [6], then [7].), then (If [3], then (If (Not [0].), then (Not [1].).).). [SC3-3]
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then (Either [4] or [5].).
If [10], then (If [6], then [7].).
Therefore, Either (Either [4] or [5].) or (If [6], then [7].)..
[SC3-3]
Disjunctive Syllogism:
Either [8] or (If (If [6], then [7].), then (If [3], then (If (Not [0].), then (Not [1].).).).).
Not [8].
Therefore, If (If [6], then [7].), then (If [3], then (If (Not [0].), then (Not [1].).).)..
|
{0: 'Control rods are made of cadmium or boron which absorb neutrons to control or stop a chain reaction.', 1: 'Neonatal deaths refer to deaths in the first four weeks of life.', 2: 'Swamps are found throughout the world.', 3: 'Sharks has-part stomachs.', 4: 'Some mammals find on coasts.', 5: 'Fanaticism is a dangerous mental illness.', 6: 'Mice are valuable research animals that are genetically much more complicated than flies.', 7: 'Honeybees hum loudly on the flowers.', 8: 'Reptiles reproduce by laying their eggs on dry land.', 9: 'Most birds fly over oceans.', 10: 'Trees hold soil in place and can deter mudslides and flooding.'}
| 6 |
5,666 |
['We know that at least one of two things is true: sex ratios are how many males compared to how many females there are in a population, or archery is a national sport and all men participate.', "The idea that abortion is one of the most serious socioeconomic problems in today's Russia is true.", 'Many people rightly believe that most weight loss occurs in the first six months of dieting.', 'The claim that some ducks provide meat does not reflect reality.', "Whenever it is true that the statement, if it is a common misconception that if most weight loss occurs in the first six months of dieting, then if abortion is one of the most serious socioeconomic problems in today's Russia, then it is not true that sex ratios are how many males compared to how many females there are in a population, then some ducks provide meat, does not hold, 'the statement, all people are unique individuals who share the same human characteristics, does not hold' is true.", "We know that at least one of two things is true: if digestive enzymes are keys to health, then distillate products have a 'mid-boiling range,' and include gas oil and kerosene, or if the statement, if it is a common misconception that if most weight loss occurs in the first six months of dieting, then if abortion is one of the most serious socioeconomic problems in today's Russia, then it is not true that sex ratios are how many males compared to how many females there are in a population, then some ducks provide meat, does not hold, then all people are unique individuals who share the same human characteristics.", "It is not the case that if digestive enzymes are keys to health, then distillate products have a 'mid-boiling range,' and include gas oil and kerosene."]
|
We know that at least one of two things is true: sex ratios are how many males compared to how many females there are in a population, or archery is a national sport and all men participate. The idea that abortion is one of the most serious socioeconomic problems in today's Russia is true. Many people rightly believe that most weight loss occurs in the first six months of dieting. The claim that some ducks provide meat does not reflect reality. Whenever it is true that the statement, if it is a common misconception that if most weight loss occurs in the first six months of dieting, then if abortion is one of the most serious socioeconomic problems in today's Russia, then it is not true that sex ratios are how many males compared to how many females there are in a population, then some ducks provide meat, does not hold, 'the statement, all people are unique individuals who share the same human characteristics, does not hold' is true. We know that at least one of two things is true: if digestive enzymes are keys to health, then distillate products have a 'mid-boiling range,' and include gas oil and kerosene, or if the statement, if it is a common misconception that if most weight loss occurs in the first six months of dieting, then if abortion is one of the most serious socioeconomic problems in today's Russia, then it is not true that sex ratios are how many males compared to how many females there are in a population, then some ducks provide meat, does not hold, then all people are unique individuals who share the same human characteristics. It is not the case that if digestive enzymes are keys to health, then distillate products have a 'mid-boiling range,' and include gas oil and kerosene.
|
archery is a national sport and all men participate.
|
The claim that archery is a national sport and all men participate is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (Not [1].).). [SC1-3]
[3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [3], then (If [2], then (Not [1].).).).), then [4]. [SC1-4]
Not [4].
Therefore, If [3], then (If [2], then (Not [1].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (If [2], then (Not [1].).).).), then [4].).), then [5]. [SC1-5]
If (Not (If (Not (If [3], then (If [2], then (Not [1].).).).), then [4].).), then (Not [5].).
Therefore, If (Not (If [3], then (If [2], then (Not [1].).).).), then [4]..
[SC1-5]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (Not (If (Not (If [3], then (If [2], then (Not [1].).).).), then [4].).), then [5].).
Not (If [6], then [7].).
Therefore, If (Not (If (Not (If [3], then (If [2], then (Not [1].).).).), then [4].).), then [5]..
|
{0: 'Archery is a national sport and all men participate.', 1: 'Sex ratios are how many males compared to how many females there are in a population.', 2: "Abortion is one of the most serious socioeconomic problems in today's Russia.", 3: 'Most weight loss occurs in the first six months of dieting.', 4: 'Some ducks provide meat.', 5: 'All people are unique individuals who share the same human characteristics.', 6: 'Digestive enzymes are keys to health.', 7: "Distillate products have a 'mid-boiling range,' and include gas oil and kerosene."}
| 6 |
5,789 |
['The claim that students understand population size holds true.', 'Provided that the claim that if students understand population size, then some elk carry babies is false, we know that some animals provide substances that are used in making medicine.', 'Once we know some animals provide substances that are used in making medicine, we also know that spools are devices.', "So long as some animals complete metamorphosis, 'if the claim that if students understand population size, then some elk carry babies is false, then the claim that spools are devices does not correspond with reality' is true.", 'There is good reason to believe that either deuterons attract each other due to gravity or either some animals complete metamorphosis or science often deals with very large or very small numbers.', 'The claim that deuterons attract each other due to gravity does not correspond with reality.', 'On the condition that the claim that if science often deals with very large or very small numbers, then if the claim that if students understand population size, then some elk carry babies is false, then the claim that spools are devices does not correspond with reality does not correspond with reality, it is definitely the case that either bureaucracy is part of everyday life or crabs swim in water.', "The notion that 'either bureaucracy is part of everyday life or crabs swim in water' is untrue."]
|
The claim that students understand population size holds true. Provided that the claim that if students understand population size, then some elk carry babies is false, we know that some animals provide substances that are used in making medicine. Once we know some animals provide substances that are used in making medicine, we also know that spools are devices. So long as some animals complete metamorphosis, 'if the claim that if students understand population size, then some elk carry babies is false, then the claim that spools are devices does not correspond with reality' is true. There is good reason to believe that either deuterons attract each other due to gravity or either some animals complete metamorphosis or science often deals with very large or very small numbers. The claim that deuterons attract each other due to gravity does not correspond with reality. On the condition that the claim that if science often deals with very large or very small numbers, then if the claim that if students understand population size, then some elk carry babies is false, then the claim that spools are devices does not correspond with reality does not correspond with reality, it is definitely the case that either bureaucracy is part of everyday life or crabs swim in water. The notion that 'either bureaucracy is part of everyday life or crabs swim in water' is untrue.
|
It is true that some elk carry babies.
|
Those that suggest some elk carry babies are wrong.
|
FALSE
|
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]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [3].
If [3], then [2].
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Not (If [1], then [0].).), then (Not [2].).).
If [5], then (If (Not (If [1], then [0].).), then (Not [2].).). [SC3-3]
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].).
Not [6].
Therefore, Either [4] or [5]..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (If (Not (If [1], then [0].).), then (Not [2].).).).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If [5], then (If (Not (If [1], then [0].).), then (Not [2].).)..
|
{0: 'Some elk carry babies.', 1: 'Students understand population size.', 2: 'Spools are devices.', 3: 'Some animals provide substances that are used in making medicine.', 4: 'Some animals complete metamorphosis.', 5: 'Science often deals with very large or very small numbers.', 6: 'Deuterons attract each other due to gravity.', 7: 'Bureaucracy is part of everyday life.', 8: 'Crabs swim in water.'}
| 6 |
5,958 |
['Provided that cordgrasses have (part) cells, we know that if the statement that states human souls enjoy a series of incarnations in human form is false, then food is made of carbon.', 'Either sheep provide a foundation for many religions or it is a common misconception that food is made of carbon.', 'It is a common misconception that sheep provide a foundation for many religions.', 'At least one of two things is true: either most Internet users have credit cards or platypus has a broad and flat body, or if the claim that cordgrasses have (part) cells does not correspond with reality, then number plates are significant on most railroads.', 'It is not true that either most Internet users have credit cards or platypus has a broad and flat body.', "Once we know counselors specialize in areas, we also know that the notion that 'number plates are significant on most railroads' is untrue.", 'The statement that states counselors specialize in areas is right.']
|
Provided that cordgrasses have (part) cells, we know that if the statement that states human souls enjoy a series of incarnations in human form is false, then food is made of carbon. Either sheep provide a foundation for many religions or it is a common misconception that food is made of carbon. It is a common misconception that sheep provide a foundation for many religions. At least one of two things is true: either most Internet users have credit cards or platypus has a broad and flat body, or if the claim that cordgrasses have (part) cells does not correspond with reality, then number plates are significant on most railroads. It is not true that either most Internet users have credit cards or platypus has a broad and flat body. Once we know counselors specialize in areas, we also know that the notion that 'number plates are significant on most railroads' is untrue. The statement that states counselors specialize in areas is right.
|
The statement 'human souls enjoy a series of incarnations in human form' can be considered true.
|
The statement 'human souls enjoy a series of incarnations in human form' can be considered true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then [1].).
[3] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not [3].), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, [3].
[SC1-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If (Not [3].), then [4].).
Not (Either [6] or [7].).
Therefore, If (Not [3].), then [4]..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2].
Therefore, Not [1]..
|
{0: 'Human souls enjoy a series of incarnations in human form.', 1: 'Food is made of carbon.', 2: 'Sheep provide a foundation for many religions.', 3: 'Cordgrasses have (part) cells.', 4: 'Number plates are significant on most railroads.', 5: 'Counselors specialize in areas.', 6: 'Most Internet users have credit cards.', 7: 'Platypus has a broad and flat body.'}
| 6 |
5,214 |
['On the condition that if many cutworms develop in high grass surrounding putting greens, crawling onto greens when larger, then acorns come from white oak trees, it is definitely the case that most snakes survive extreme conditions.', "Whenever it is true that most snakes survive extreme conditions, 'if some people fail to report sexual harassment because they fear confrontation with the harasser, then security comes from feeling connected to all things' is true.", 'Assuming it is not the case that if many cutworms develop in high grass surrounding putting greens, crawling onto greens when larger, then acorns come from white oak trees, we know that theaters have (part) theater stages.', "We know that at least one of two things is true: if flytraps spin when no creatures can be infected, then weak bushes require more pruning than vigorous bushes because pruning stimulates vegetative growth, or the statement 'theaters have (part) theater stages' can be considered false.", "The notion that 'books are an art form' is untrue.", "If it is a common misconception that either books are an art form or the statement 'if flytraps spin when no creatures can be infected, then weak bushes require more pruning than vigorous bushes because pruning stimulates vegetative growth' can be considered false, then many leaf beetles lay eggs in groups on the underside of food plant leaves.", 'It is a common misconception that many leaf beetles lay eggs in groups on the underside of food plant leaves.']
|
On the condition that if many cutworms develop in high grass surrounding putting greens, crawling onto greens when larger, then acorns come from white oak trees, it is definitely the case that most snakes survive extreme conditions. Whenever it is true that most snakes survive extreme conditions, 'if some people fail to report sexual harassment because they fear confrontation with the harasser, then security comes from feeling connected to all things' is true. Assuming it is not the case that if many cutworms develop in high grass surrounding putting greens, crawling onto greens when larger, then acorns come from white oak trees, we know that theaters have (part) theater stages. We know that at least one of two things is true: if flytraps spin when no creatures can be infected, then weak bushes require more pruning than vigorous bushes because pruning stimulates vegetative growth, or the statement 'theaters have (part) theater stages' can be considered false. The notion that 'books are an art form' is untrue. If it is a common misconception that either books are an art form or the statement 'if flytraps spin when no creatures can be infected, then weak bushes require more pruning than vigorous bushes because pruning stimulates vegetative growth' can be considered false, then many leaf beetles lay eggs in groups on the underside of food plant leaves. It is a common misconception that many leaf beetles lay eggs in groups on the underside of food plant leaves.
|
If some people fail to report sexual harassment because they fear confrontation with the harasser, then security comes from feeling connected to all things.
|
If some people fail to report sexual harassment because they fear confrontation with the harasser, then security comes from feeling connected to all things.
|
TRUE
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [4].
If [4], then (If [0], then [1].).
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-1]
Modus Tonens:
If (Not (If [2], then [3].).), then [5].
Not [5]. [SC2-2]
Therefore, If [2], then [3]..
[SC2-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Not [5].).
Not (If [6], then [7].). [SC2-3]
Therefore, Not [5]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not (If [6], then [7].).). [SC1-4]
Not [8].
Therefore, Not (If [6], then [7].)..
[SC1-4]
Modus Tonens:
If (Not (Either [8] or (Not (If [6], then [7].).).).), then [9].
Not [9].
Therefore, Either [8] or (Not (If [6], then [7].).)..
|
{0: 'Some people fail to report sexual harassment because they fear confrontation with the harasser.', 1: 'Security comes from feeling connected to all things.', 2: 'Many cutworms develop in high grass surrounding putting greens, crawling onto greens when larger.', 3: 'Acorns come from white oak trees.', 4: 'Most snakes survive extreme conditions.', 5: 'Theaters have (part) theater stages.', 6: 'Flytraps spin when no creatures can be infected.', 7: 'Weak bushes require more pruning than vigorous bushes because pruning stimulates vegetative growth.', 8: 'Books are an art form.', 9: 'Many leaf beetles lay eggs in groups on the underside of food plant leaves.'}
| 6 |
5,097 |
['One may reasonably assume that if we know that the claim that either birth control is a basic human right or either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks is false, then luxuries range from radiant heat to air conditioning.', 'If we know that the claim that either birth control is a basic human right or either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks is false, then the claim that luxuries range from radiant heat to air conditioning has no merit.', 'We know that at least one of two things is true: fumes cause irritation of eyes and respiratory passages, or true health comes from an entire lifestyle of healthy habits.', 'On the condition that fumes cause irritation of eyes and respiratory passages, it is definitely the case that if birth control is a basic human right, then red meat is a good source of which seven nutrients.', 'If true health comes from an entire lifestyle of healthy habits, then if birth control is a basic human right, then red meat is a good source of which seven nutrients.', 'Many people rightly believe that authors describe properties.', "Whenever it is true that it is a common misconception that if authors describe properties, then if either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks, then red meat is a good source of which seven nutrients, 'undercurrents are superior to surface currents on the long run' is true.", 'If undercurrents are superior to surface currents on the long run, then american elms are native to Saskatchewan and therefore ideally suited to our cold, harsh climate.', "Whenever it is true that undercurrents are superior to surface currents on the long run, 'the notion that 'american elms are native to Saskatchewan and therefore ideally suited to our cold, harsh climate' is untrue' is true."]
|
One may reasonably assume that if we know that the claim that either birth control is a basic human right or either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks is false, then luxuries range from radiant heat to air conditioning. If we know that the claim that either birth control is a basic human right or either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks is false, then the claim that luxuries range from radiant heat to air conditioning has no merit. We know that at least one of two things is true: fumes cause irritation of eyes and respiratory passages, or true health comes from an entire lifestyle of healthy habits. On the condition that fumes cause irritation of eyes and respiratory passages, it is definitely the case that if birth control is a basic human right, then red meat is a good source of which seven nutrients. If true health comes from an entire lifestyle of healthy habits, then if birth control is a basic human right, then red meat is a good source of which seven nutrients. Many people rightly believe that authors describe properties. Whenever it is true that it is a common misconception that if authors describe properties, then if either polonium is a very rare natural element or cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks, then red meat is a good source of which seven nutrients, 'undercurrents are superior to surface currents on the long run' is true. If undercurrents are superior to surface currents on the long run, then american elms are native to Saskatchewan and therefore ideally suited to our cold, harsh climate. Whenever it is true that undercurrents are superior to surface currents on the long run, 'the notion that 'american elms are native to Saskatchewan and therefore ideally suited to our cold, harsh climate' is untrue' is true.
|
We can assume that red meat is a good source of which seven nutrients.
|
Red meat includes beef, veal, pork, and lamb and mutton in commercial plants and on farms.
|
Uncertain
|
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]
Reductio Ad Absurdum:
If (Not (Either [1] or (Either [2] or [3].).).), then [6].
If (Not (Either [1] or (Either [2] or [3].).).), then (Not [6].).
Therefore, Either [1] or (Either [2] or [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [0].).
If [5], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Modus Ponens:
If [7], then (If (Either [2] or [3].), then [0].). [SC1-2]
[7]
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [7], then (If (Either [2] or [3].), then [0].).).), then [8].
Not [8]. [SC2-3]
Therefore, If [7], then (If (Either [2] or [3].), then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If [8], then [9].
If [8], then (Not [9].).
Therefore, Not [8]..
|
{0: 'Red meat is a good source of which seven nutrients.', 1: 'Birth control is a basic human right.', 2: 'Polonium is a very rare natural element.', 3: 'Cartilage is taken from the spiny dogfish shark, hammerhead shark, and some other types of sharks.', 4: 'Fumes cause irritation of eyes and respiratory passages.', 5: 'True health comes from an entire lifestyle of healthy habits.', 6: 'Luxuries range from radiant heat to air conditioning.', 7: 'Authors describe properties.', 8: 'Undercurrents are superior to surface currents on the long run.', 9: 'American elms are native to Saskatchewan and therefore ideally suited to our cold, harsh climate.'}
| 6 |
5,583 |
["So long as it is not true that either either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival or the statement that 'students use technology' is incorrect, 'the claim that soles protect feet is false' is true.", "Either one or both of these statements are true: protein is needed for the structure, function, and regulation of the body, or if it is not true that either either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival or the statement that 'students use technology' is incorrect, then soles protect feet.", "The statement that 'protein is needed for the structure, function, and regulation of the body' is incorrect.", "Should it be the case that ants use several forms of communication, it follows that either crabs have (part) nuclei or the notion that 'either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival' is untrue.", 'Those that suggest ants use several forms of communication are right.', 'Should it be the case that stroke volume refers to the amount of blood ejected from the heart with each heartbeat, it follows that the claim that crabs have (part) nuclei is false.', 'The statement that states stroke volume refers to the amount of blood ejected from the heart with each heartbeat is right.']
|
So long as it is not true that either either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival or the statement that 'students use technology' is incorrect, 'the claim that soles protect feet is false' is true. Either one or both of these statements are true: protein is needed for the structure, function, and regulation of the body, or if it is not true that either either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival or the statement that 'students use technology' is incorrect, then soles protect feet. The statement that 'protein is needed for the structure, function, and regulation of the body' is incorrect. Should it be the case that ants use several forms of communication, it follows that either crabs have (part) nuclei or the notion that 'either electricity energizes the plasma in the main chamber of the thruster or some disasters impact survival' is untrue. Those that suggest ants use several forms of communication are right. Should it be the case that stroke volume refers to the amount of blood ejected from the heart with each heartbeat, it follows that the claim that crabs have (part) nuclei is false. The statement that states stroke volume refers to the amount of blood ejected from the heart with each heartbeat is right.
|
The statement that 'students use technology' is incorrect.
|
The statement that 'students use technology' is incorrect.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]. [SC1-2]
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then (Not [3].).
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).
Not [7].
Therefore, If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (Either [1] or [2].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [4] or (Not (Either [1] or [2].).).).
[5]
Therefore, Either [4] or (Not (Either [1] or [2].).)..
[SC2-2]
Modus Ponens:
If [6], then (Not [4].).
[6]
Therefore, Not [4]..
|
{0: 'Students use technology.', 1: 'Electricity energizes the plasma in the main chamber of the thruster.', 2: 'Some disasters impact survival.', 3: 'Soles protect feet.', 4: 'Crabs have (part) nuclei.', 5: 'Ants use several forms of communication.', 6: 'Stroke volume refers to the amount of blood ejected from the heart with each heartbeat.', 7: 'Protein is needed for the structure, function, and regulation of the body.'}
| 6 |
5,466 |
["Whenever it is true that the claim that either opposite rays are two collinear rays with the same endpoint or altered gene fights tumors in mice has no merit, 'corruption challenges the popular legitimacy of democratic institutions' is true.", 'When children often present with bruising because of low platelet count and recurrent infections is true, it follows that pollutants range from elevated temperature to dioxins and bioaccumulative chemicals.', 'When children often present with bruising because of low platelet count and recurrent infections is true, it follows that the claim that pollutants range from elevated temperature to dioxins and bioaccumulative chemicals does not correspond with reality.', 'If some people mistakenly believe that either children often present with bruising because of low platelet count and recurrent infections or if the claim that either opposite rays are two collinear rays with the same endpoint or altered gene fights tumors in mice has no merit, then the claim that corruption challenges the popular legitimacy of democratic institutions is false, then water is located in snow.', 'If water is located in snow, then either orcas have excellent eyesight in and out of the water or turtles rest on logs.', 'We know that either hardcore sex acts with consenting adults or it is a common misconception that either orcas have excellent eyesight in and out of the water or turtles rest on logs.', 'The statement, hardcore sex acts with consenting adults, does not hold.']
|
Whenever it is true that the claim that either opposite rays are two collinear rays with the same endpoint or altered gene fights tumors in mice has no merit, 'corruption challenges the popular legitimacy of democratic institutions' is true. When children often present with bruising because of low platelet count and recurrent infections is true, it follows that pollutants range from elevated temperature to dioxins and bioaccumulative chemicals. When children often present with bruising because of low platelet count and recurrent infections is true, it follows that the claim that pollutants range from elevated temperature to dioxins and bioaccumulative chemicals does not correspond with reality. If some people mistakenly believe that either children often present with bruising because of low platelet count and recurrent infections or if the claim that either opposite rays are two collinear rays with the same endpoint or altered gene fights tumors in mice has no merit, then the claim that corruption challenges the popular legitimacy of democratic institutions is false, then water is located in snow. If water is located in snow, then either orcas have excellent eyesight in and out of the water or turtles rest on logs. We know that either hardcore sex acts with consenting adults or it is a common misconception that either orcas have excellent eyesight in and out of the water or turtles rest on logs. The statement, hardcore sex acts with consenting adults, does not hold.
|
There is good reason to believe that either opposite rays are two collinear rays with the same endpoint or altered gene fights tumors in mice.
|
We know that at least one of two things is true: brants have (part) bird's feet, or common allergens are pollen, dust mites, animal dander, and mold.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2].
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).).).), then (Either [5] or [6].). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).).).), then [7].
If [7], then (Either [5] or [6].).
Therefore, If (Not (Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).).).), then (Either [5] or [6].)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not (Either [5] or [6].).).
Not [8].
Therefore, Not (Either [5] or [6].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
|
{0: 'Opposite rays are two collinear rays with the same endpoint.', 1: 'Altered gene fights tumors in mice.', 2: 'Corruption challenges the popular legitimacy of democratic institutions.', 3: 'Children often present with bruising because of low platelet count and recurrent infections.', 4: 'Pollutants range from elevated temperature to dioxins and bioaccumulative chemicals.', 5: 'Orcas have excellent eyesight in and out of the water.', 6: 'Turtles rest on logs.', 7: 'Water is located in snow.', 8: 'Hardcore sex acts with consenting adults.'}
| 6 |
5,523 |
['It is true that most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions.', 'Provided that it is not true that if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then the claim that shade coffee is grown under a canopy of dozens of tree species has no merit, we know that many physicians recommend influenza and pneumonia vaccines for patients with emphysema.', 'Should it be the case that it is not true that if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then the claim that shade coffee is grown under a canopy of dozens of tree species has no merit, it follows that we know that the claim that many physicians recommend influenza and pneumonia vaccines for patients with emphysema is false.', 'It is a fact that either if most injuries are due to direct discharge to the face, eye, or hand, then colors match when the three responses of light are the same or most rabbits has-part stomachs.', 'Given that if most injuries are due to direct discharge to the face, eye, or hand, then colors match when the three responses of light are the same, it can be inferred that if we know that the claim that if most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions, then if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then shade coffee is grown under a canopy of dozens of tree species is false, then either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature.', "So long as most rabbits has-part stomachs, 'if we know that the claim that if most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions, then if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then shade coffee is grown under a canopy of dozens of tree species is false, then either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature' is true.", 'On the condition that either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature, it is definitely the case that division is nonmitotic in all prokaryotes.', 'Some people mistakenly believe that division is nonmitotic in all prokaryotes.']
|
It is true that most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions. Provided that it is not true that if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then the claim that shade coffee is grown under a canopy of dozens of tree species has no merit, we know that many physicians recommend influenza and pneumonia vaccines for patients with emphysema. Should it be the case that it is not true that if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then the claim that shade coffee is grown under a canopy of dozens of tree species has no merit, it follows that we know that the claim that many physicians recommend influenza and pneumonia vaccines for patients with emphysema is false. It is a fact that either if most injuries are due to direct discharge to the face, eye, or hand, then colors match when the three responses of light are the same or most rabbits has-part stomachs. Given that if most injuries are due to direct discharge to the face, eye, or hand, then colors match when the three responses of light are the same, it can be inferred that if we know that the claim that if most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions, then if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then shade coffee is grown under a canopy of dozens of tree species is false, then either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature. So long as most rabbits has-part stomachs, 'if we know that the claim that if most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions, then if the statement, either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus, does not hold, then shade coffee is grown under a canopy of dozens of tree species is false, then either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature' is true. On the condition that either reptiles are located in zoos or some species are initially herbivorous, but become carnivorous as they mature, it is definitely the case that division is nonmitotic in all prokaryotes. Some people mistakenly believe that division is nonmitotic in all prokaryotes.
|
There is good reason to believe that either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus.
|
There is good reason to believe that either most writers are shy people who experience life very internally or drug also has an ill-defined effect on the hypothalamus.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [4], then (If (Not (Either [0] or [1].).), then [2].). [SC1-2]
[4]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Modus Tonens:
If (Not (If [4], then (If (Not (Either [0] or [1].).), then [2].).).), then (Either [5] or [6].). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, If [4], then (If (Not (Either [0] or [1].).), then [2].)..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If (Not (If [4], then (If (Not (Either [0] or [1].).), then [2].).).), then (Either [5] or [6].).).
If [10], then (If (Not (If [4], then (If (Not (Either [0] or [1].).), then [2].).).), then (Either [5] or [6].).).
Therefore, If (Not (If [4], then (If (Not (Either [0] or [1].).), then [2].).).), then (Either [5] or [6].)..
[SC2-3]
Modus Tonens:
If (Either [5] or [6].), then [7].
Not [7].
Therefore, Not (Either [5] or [6].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [3].
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].).
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
|
{0: 'Most writers are shy people who experience life very internally.', 1: 'Drug also has an ill-defined effect on the hypothalamus.', 2: 'Shade coffee is grown under a canopy of dozens of tree species.', 3: 'Many physicians recommend influenza and pneumonia vaccines for patients with emphysema.', 4: 'Most travel insurance covers emergency flights, medical expenses, and theft or loss of possessions.', 5: 'Reptiles are located in zoos.', 6: 'Some species are initially herbivorous, but become carnivorous as they mature.', 7: 'Division is nonmitotic in all prokaryotes.', 8: 'Most injuries are due to direct discharge to the face, eye, or hand.', 9: 'Colors match when the three responses of light are the same.', 10: 'Most rabbits has-part stomachs.'}
| 6 |
5,255 |
['The claim that mothers possess mates does not correspond with reality.', 'There is good reason to believe that either some dermatologists advocate the use of a tourniquet around the scalp as drugs are injected or knowledge translations relate knowledge about objects to knowledge about their parts.', 'On the condition that monologues are speechs, it is definitely the case that if some dermatologists advocate the use of a tourniquet around the scalp as drugs are injected, then mothers possess mates.', 'Those that suggest monologues are speechs are right.', 'Should it be the case that it is a common misconception that if knowledge translations relate knowledge about objects to knowledge about their parts, then snow snakes are smooth, polished, flexible rods, made of hard wood, it follows that historical fact is the basis of Christian faith.', 'There is good reason to believe that either ferns develop from spores or if employees create realistic goals, then lobsters have poor eyesight, but have highly developed senses of smell and taste.', "So long as if employees create realistic goals, then lobsters have poor eyesight, but have highly developed senses of smell and taste, 'it is a common misconception that historical fact is the basis of Christian faith' is true.", 'At least one of two things is true: a nonsmoker is a person, or if ferns develop from spores, then it is a common misconception that historical fact is the basis of Christian faith.', 'Some people mistakenly believe that a nonsmoker is a person.']
|
The claim that mothers possess mates does not correspond with reality. There is good reason to believe that either some dermatologists advocate the use of a tourniquet around the scalp as drugs are injected or knowledge translations relate knowledge about objects to knowledge about their parts. On the condition that monologues are speechs, it is definitely the case that if some dermatologists advocate the use of a tourniquet around the scalp as drugs are injected, then mothers possess mates. Those that suggest monologues are speechs are right. Should it be the case that it is a common misconception that if knowledge translations relate knowledge about objects to knowledge about their parts, then snow snakes are smooth, polished, flexible rods, made of hard wood, it follows that historical fact is the basis of Christian faith. There is good reason to believe that either ferns develop from spores or if employees create realistic goals, then lobsters have poor eyesight, but have highly developed senses of smell and taste. So long as if employees create realistic goals, then lobsters have poor eyesight, but have highly developed senses of smell and taste, 'it is a common misconception that historical fact is the basis of Christian faith' is true. At least one of two things is true: a nonsmoker is a person, or if ferns develop from spores, then it is a common misconception that historical fact is the basis of Christian faith. Some people mistakenly believe that a nonsmoker is a person.
|
It is the case that snow snakes are smooth, polished, flexible rods, made of hard wood.
|
It is a common misconception that snow snakes are smooth, polished, flexible rods, made of hard wood.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then [1].).
[5]
Therefore, If [2], then [1]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then [0].).), then [4].
Not [4]. [SC2-3]
Therefore, If [3], then [0]..
[SC2-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Not [4].). [SC2-4]
If (If [7], then [8].), then (Not [4].).
Therefore, Not [4]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If [6], then (Not [4].).).
Not [9].
Therefore, If [6], then (Not [4].)..
|
{0: 'Snow snakes are smooth, polished, flexible rods, made of hard wood.', 1: 'Mothers possess mates.', 2: 'Some dermatologists advocate the use of a tourniquet around the scalp as drugs are injected.', 3: 'Knowledge translations relate knowledge about objects to knowledge about their parts.', 4: 'Historical fact is the basis of Christian faith.', 5: 'Monologues are speechs.', 6: 'Ferns develop from spores.', 7: 'Employees create realistic goals.', 8: 'Lobsters have poor eyesight, but have highly developed senses of smell and taste.', 9: 'A nonsmoker is a person.'}
| 6 |
5,385 |
['The claim that either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water has no merit.', 'Once we know desert shrews have eyes, we also know that blood passes from hearts.', "Whenever it is true that desert shrews have eyes, 'the statement that states blood passes from hearts is false' is true.", 'Should it be the case that some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, it follows that it is not true that frostbite is a young woman with fair skin and short black hair.', "Whenever it is true that the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, 'if tuberculosis isa disease, then some frogs retain tadpole tails' is true.", 'It is rational to believe that either if many garden centers sell home orchard fruit tree sprays containing an insecticide and fungicide, then surety is certainty or either milk of Magnesia is used to settle an upset stomach or some rhizomes grow in water.', "Should it be the case that if many garden centers sell home orchard fruit tree sprays containing an insecticide and fungicide, then surety is certainty, it follows that if the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, then some people mistakenly believe that if tuberculosis isa disease, then some frogs retain tadpole tails.", "One may reasonably assume that if either milk of Magnesia is used to settle an upset stomach or some rhizomes grow in water, then if the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, then some people mistakenly believe that if tuberculosis isa disease, then some frogs retain tadpole tails."]
|
The claim that either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water has no merit. Once we know desert shrews have eyes, we also know that blood passes from hearts. Whenever it is true that desert shrews have eyes, 'the statement that states blood passes from hearts is false' is true. Should it be the case that some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, it follows that it is not true that frostbite is a young woman with fair skin and short black hair. Whenever it is true that the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, 'if tuberculosis isa disease, then some frogs retain tadpole tails' is true. It is rational to believe that either if many garden centers sell home orchard fruit tree sprays containing an insecticide and fungicide, then surety is certainty or either milk of Magnesia is used to settle an upset stomach or some rhizomes grow in water. Should it be the case that if many garden centers sell home orchard fruit tree sprays containing an insecticide and fungicide, then surety is certainty, it follows that if the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, then some people mistakenly believe that if tuberculosis isa disease, then some frogs retain tadpole tails. One may reasonably assume that if either milk of Magnesia is used to settle an upset stomach or some rhizomes grow in water, then if the statement that 'if some people mistakenly believe that either either thistles have (part) cytoplasm or warm water holds less oxygen than cooler water or if drawbacks are situations, then desert shrews have eyes, then frostbite is a young woman with fair skin and short black hair' is incorrect, then some people mistakenly believe that if tuberculosis isa disease, then some frogs retain tadpole tails.
|
The claim that drawbacks are situations does not reflect reality.
|
We know that the claim that drawbacks are disadvantage is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
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]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5]. [SC1-3]
If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then (Not [5].).
Therefore, Either (Either [2] or [3].) or (If [0], then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).), then (If [6], then [7].).
If (Not (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).), then (Not (If [6], then [7].).). [SC2-4]
Therefore, If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5]..
[SC2-4]
Disjunction Elimination:
Either (If [8], then [9].) or (Either [10] or [11].).
If (If [8], then [9].), then (If (Not (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).), then (Not (If [6], then [7].).).).
If (Either [10] or [11].), then (If (Not (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).), then (Not (If [6], then [7].).).).
Therefore, If (Not (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).), then (Not (If [6], then [7].).)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4].
If [1], then (Not [4].).
Therefore, Not [1]..
|
{0: 'Drawbacks are situations.', 1: 'Desert shrews have eyes.', 2: 'Thistles have (part) cytoplasm.', 3: 'Warm water holds less oxygen than cooler water.', 4: 'Blood passes from hearts.', 5: 'Frostbite is a young woman with fair skin and short black hair.', 6: 'Tuberculosis isa disease.', 7: 'Some frogs retain tadpole tails.', 8: 'Many garden centers sell home orchard fruit tree sprays containing an insecticide and fungicide.', 9: 'Surety is certainty.', 10: 'Milk of Magnesia is used to settle an upset stomach.', 11: 'Some rhizomes grow in water.'}
| 6 |
5,545 |
['It is a common misconception that most metabolic disorder causes defects.', 'On the condition that the statement that states if the claim that either most metabolic disorder causes defects or if circuits include forces, then potassium is released into the blood from damaged muscle cells does not reflect reality, then dandelions are masters of survival is false, it is definitely the case that rove beetles eat other insects.', 'Those that suggest rove beetles eat other insects are wrong.', 'Either one or both of these statements are true: bottlenoses have (part) vertebrate feet, or numbats are mammals, and marsupials.', 'Once we know numbats are mammals, and marsupials, we also know that the claim that dandelions are masters of survival does not correspond with reality.', 'Should it be the case that bottlenoses have (part) vertebrate feet, it follows that sin can kill the soul and deliver the sinner into satanic slavery.', 'There is good reason to believe that either figurative art is excluded from the decoration of religious monuments or if sin can kill the soul and deliver the sinner into satanic slavery, then the claim that dandelions are masters of survival does not correspond with reality.', 'The statement, figurative art is excluded from the decoration of religious monuments, does not hold.']
|
It is a common misconception that most metabolic disorder causes defects. On the condition that the statement that states if the claim that either most metabolic disorder causes defects or if circuits include forces, then potassium is released into the blood from damaged muscle cells does not reflect reality, then dandelions are masters of survival is false, it is definitely the case that rove beetles eat other insects. Those that suggest rove beetles eat other insects are wrong. Either one or both of these statements are true: bottlenoses have (part) vertebrate feet, or numbats are mammals, and marsupials. Once we know numbats are mammals, and marsupials, we also know that the claim that dandelions are masters of survival does not correspond with reality. Should it be the case that bottlenoses have (part) vertebrate feet, it follows that sin can kill the soul and deliver the sinner into satanic slavery. There is good reason to believe that either figurative art is excluded from the decoration of religious monuments or if sin can kill the soul and deliver the sinner into satanic slavery, then the claim that dandelions are masters of survival does not correspond with reality. The statement, figurative art is excluded from the decoration of religious monuments, does not hold.
|
Should it be the case that circuits include forces, it follows that potassium is released into the blood from damaged muscle cells.
|
The statement that states if circuits include forces, then potassium is released into the blood from damaged muscle cells is false.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [2] or (If [0], then [1].).).), then [3].).), then [4].
Not [4].
Therefore, If (Not (Either [2] or (If [0], then [1].).).), then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].). [SC2-3]
If [6], then (Not [3].).
Therefore, Not [3]..
[SC2-3]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (Not [3].). [SC2-4]
Therefore, If [5], then (Not [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (If [7], then (Not [3].).).
Not [8].
Therefore, If [7], then (Not [3].)..
|
{0: 'Circuits include forces.', 1: 'Potassium is released into the blood from damaged muscle cells.', 2: 'Most metabolic disorder causes defects.', 3: 'Dandelions are masters of survival.', 4: 'Rove beetles eat other insects.', 5: 'Bottlenoses have (part) vertebrate feet.', 6: 'Numbats are mammals, and marsupials.', 7: 'Sin can kill the soul and deliver the sinner into satanic slavery.', 8: 'Figurative art is excluded from the decoration of religious monuments.'}
| 6 |
5,382 |
['It is rational to believe that either either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac or grazing is a means of renewing and regenerating natural resources.', 'On the condition that towels soak in hot water, it is definitely the case that if either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac, then some breeds of dogs require regular grooming and maintainance care for their ears.', 'Given that it is not true that if grazing is a means of renewing and regenerating natural resources, then some breeds of dogs require regular grooming and maintainance care for their ears, it can be inferred that most corn plants have single stems.', 'One may reasonably assume that if we know that the claim that either a comatulid is a crinoid or towels soak in hot water is false, then diets can have effects.', 'Once we know we know that the claim that either a comatulid is a crinoid or towels soak in hot water is false, we also know that the claim that diets can have effects does not reflect reality.', 'Given that a comatulid is a crinoid, it can be inferred that pET scanners use radioactive markers to measure various types of activity in the body.', 'Once we know pET scanners use radioactive markers to measure various types of activity in the body, we also know that if either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac, then some breeds of dogs require regular grooming and maintainance care for their ears.', 'There is good reason to believe that either seasonal unemployment is the unemployment that fluctuates with the seasons of the year or if workers often form subgroups, which compete with other subgroups and individuals, then imagination guides intellect and gives it the ability to discover reality.', 'When seasonal unemployment is the unemployment that fluctuates with the seasons of the year is true, it follows that those that suggest most corn plants have single stems are wrong.', 'Given that if workers often form subgroups, which compete with other subgroups and individuals, then imagination guides intellect and gives it the ability to discover reality, it can be inferred that those that suggest most corn plants have single stems are wrong.']
|
It is rational to believe that either either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac or grazing is a means of renewing and regenerating natural resources. On the condition that towels soak in hot water, it is definitely the case that if either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac, then some breeds of dogs require regular grooming and maintainance care for their ears. Given that it is not true that if grazing is a means of renewing and regenerating natural resources, then some breeds of dogs require regular grooming and maintainance care for their ears, it can be inferred that most corn plants have single stems. One may reasonably assume that if we know that the claim that either a comatulid is a crinoid or towels soak in hot water is false, then diets can have effects. Once we know we know that the claim that either a comatulid is a crinoid or towels soak in hot water is false, we also know that the claim that diets can have effects does not reflect reality. Given that a comatulid is a crinoid, it can be inferred that pET scanners use radioactive markers to measure various types of activity in the body. Once we know pET scanners use radioactive markers to measure various types of activity in the body, we also know that if either respiratory illnesses affect millions more or antacids decrease blood levels and decrease the effect of sulindac, then some breeds of dogs require regular grooming and maintainance care for their ears. There is good reason to believe that either seasonal unemployment is the unemployment that fluctuates with the seasons of the year or if workers often form subgroups, which compete with other subgroups and individuals, then imagination guides intellect and gives it the ability to discover reality. When seasonal unemployment is the unemployment that fluctuates with the seasons of the year is true, it follows that those that suggest most corn plants have single stems are wrong. Given that if workers often form subgroups, which compete with other subgroups and individuals, then imagination guides intellect and gives it the ability to discover reality, it can be inferred that those that suggest most corn plants have single stems are wrong.
|
The claim that some breeds of dogs require regular grooming and maintainance care for their ears is true.
|
The claim that some breeds of dogs require regular grooming and maintainance care for their ears has no merit.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If (Either [1] or [2].), then [0].). [SC2-2]
If [5], then (If (Either [1] or [2].), then [0].).
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [8].
If (Not (Either [4] or [5].).), then (Not [8].).
Therefore, Either [4] or [5]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then (If (Either [1] or [2].), then [0].).
Therefore, If [4], then (If (Either [1] or [2].), then [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [6].
Not [6]. [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then (Not [6].).
If (If [10], then [11].), then (Not [6].).
Therefore, Not [6]..
|
{0: 'Some breeds of dogs require regular grooming and maintainance care for their ears.', 1: 'Respiratory illnesses affect millions more.', 2: 'Antacids decrease blood levels and decrease the effect of sulindac.', 3: 'Grazing is a means of renewing and regenerating natural resources.', 4: 'A comatulid is a crinoid.', 5: 'Towels soak in hot water.', 6: 'Most corn plants have single stems.', 7: 'PET scanners use radioactive markers to measure various types of activity in the body.', 8: 'Diets can have effects.', 9: 'Seasonal unemployment is the unemployment that fluctuates with the seasons of the year.', 10: 'Workers often form subgroups, which compete with other subgroups and individuals.', 11: 'Imagination guides intellect and gives it the ability to discover reality.'}
| 6 |
5,489 |
["Whenever it is true that we know that the claim that if an ordinate is a Cartesian coordinate, then the claim that most organisms have female organs has no merit is false, 'either clean water is essential for agriculture, industry and recreation to prosper or tangerines are actually the same as mandarin oranges, but have been developed in California' is true.", 'If it is not the case that if it is not true that if an ordinate is a Cartesian coordinate, then most organisms have female organs, then either postal workers are skilled workers or rights are turns, then people are much more likely to be sick if they are poor than if they are well off.', 'The claim that people are much more likely to be sick if they are poor than if they are well off does not correspond with reality.', 'One may reasonably assume that if either postal workers are skilled workers or rights are turns, then either farms require more attention or some compounds are excreted by animals.', 'If either postal workers are skilled workers or rights are turns, then we know that the claim that either farms require more attention or some compounds are excreted by animals is false.', 'We know that either red cloth is used to attach the feathers to the shaft or the claim that either clean water is essential for agriculture, industry and recreation to prosper or tangerines are actually the same as mandarin oranges, but have been developed in California is false.', 'The claim that red cloth is used to attach the feathers to the shaft is false.']
|
Whenever it is true that we know that the claim that if an ordinate is a Cartesian coordinate, then the claim that most organisms have female organs has no merit is false, 'either clean water is essential for agriculture, industry and recreation to prosper or tangerines are actually the same as mandarin oranges, but have been developed in California' is true. If it is not the case that if it is not true that if an ordinate is a Cartesian coordinate, then most organisms have female organs, then either postal workers are skilled workers or rights are turns, then people are much more likely to be sick if they are poor than if they are well off. The claim that people are much more likely to be sick if they are poor than if they are well off does not correspond with reality. One may reasonably assume that if either postal workers are skilled workers or rights are turns, then either farms require more attention or some compounds are excreted by animals. If either postal workers are skilled workers or rights are turns, then we know that the claim that either farms require more attention or some compounds are excreted by animals is false. We know that either red cloth is used to attach the feathers to the shaft or the claim that either clean water is essential for agriculture, industry and recreation to prosper or tangerines are actually the same as mandarin oranges, but have been developed in California is false. The claim that red cloth is used to attach the feathers to the shaft is false.
|
The statement 'an ordinate is a Cartesian coordinate' can be considered false.
|
The statement, an ordinate is a Cartesian coordinate, 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 Tonens:
If (Not (If [0], then [1].).), then (Either [4] or [5].). [SC1-2]
Not (Either [4] or [5].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Either [4] or [5].).).), then [9].
Not [9].
Therefore, If (Not (If [0], then [1].).), then (Either [4] or [5].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [4] or [5].), then (Either [6] or [7].).
If (Either [4] or [5].), then (Not (Either [6] or [7].).).
Therefore, Not (Either [4] or [5].)..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then (Either [2] or [3].).
Not (Either [2] or [3].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not (Either [2] or [3].).).
Not [8].
Therefore, Not (Either [2] or [3].)..
|
{0: 'An ordinate is a Cartesian coordinate.', 1: 'Most organisms have female organs.', 2: 'Clean water is essential for agriculture, industry and recreation to prosper.', 3: 'Tangerines are actually the same as mandarin oranges, but have been developed in California.', 4: 'Postal workers are skilled workers.', 5: 'Rights are turns.', 6: 'Farms require more attention.', 7: 'Some compounds are excreted by animals.', 8: 'Red cloth is used to attach the feathers to the shaft.', 9: 'People are much more likely to be sick if they are poor than if they are well off.'}
| 6 |
5,513 |
["Whenever it is true that heredity contributes to height, weight, and rate of physical maturation, 'compound fractures are fractures' is true.", 'Given that a polar glacier is a continental glacier, it can be inferred that the statement that states if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring is false.', 'There is good reason to believe that either repetition is very important in learning dance and other movements or people like to do things with their hands.', "Whenever it is true that repetition is very important in learning dance and other movements, 'if if heredity contributes to height, weight, and rate of physical maturation, then compound fractures are fractures, then either if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring or the notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue' is true.", "Provided that people like to do things with their hands, we know that if if heredity contributes to height, weight, and rate of physical maturation, then compound fractures are fractures, then either if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring or the notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue.", 'We know that either sin is about relationships or either gray whales are sensitive to noise and human disturbance or a polar glacier is a continental glacier.', 'The claim that sin is about relationships has no merit.', "So long as the statement that states if gray whales are sensitive to noise and human disturbance, then the statement that states if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring is false is false, 'cysts are just collections of fluid' is true.", 'The statement that states cysts are just collections of fluid is false.']
|
Whenever it is true that heredity contributes to height, weight, and rate of physical maturation, 'compound fractures are fractures' is true. Given that a polar glacier is a continental glacier, it can be inferred that the statement that states if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring is false. There is good reason to believe that either repetition is very important in learning dance and other movements or people like to do things with their hands. Whenever it is true that repetition is very important in learning dance and other movements, 'if if heredity contributes to height, weight, and rate of physical maturation, then compound fractures are fractures, then either if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring or the notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue' is true. Provided that people like to do things with their hands, we know that if if heredity contributes to height, weight, and rate of physical maturation, then compound fractures are fractures, then either if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring or the notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue. We know that either sin is about relationships or either gray whales are sensitive to noise and human disturbance or a polar glacier is a continental glacier. The claim that sin is about relationships has no merit. So long as the statement that states if gray whales are sensitive to noise and human disturbance, then the statement that states if religions create, and thrive on, passionate commitment and passionate conflicts, then mumps is more common during winter and spring is false is false, 'cysts are just collections of fluid' is true. The statement that states cysts are just collections of fluid is false.
|
The notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue.
|
The notion that 'science Apply the concept of force and inertia to predict the motion of objects' is untrue.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (Either (If [1], then [2].) or (Not [0].).). [SC1-2]
If [3], then [4].
Therefore, Either (If [1], then [2].) or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [3], then [4].), then (Either (If [1], then [2].) or (Not [0].).).).
If [10], then (If (If [3], then [4].), then (Either (If [1], then [2].) or (Not [0].).).).
Therefore, If (If [3], then [4].), then (Either (If [1], then [2].) or (Not [0].).)..
[SC2-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (Not (If [1], then [2].).). [SC2-2]
If [6], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].).
Not [7].
Therefore, Either [5] or [6]..
[SC2-2]
Modus Tonens:
If (Not (If [5], then (Not (If [1], then [2].).).).), then [8].
Not [8].
Therefore, If [5], then (Not (If [1], then [2].).)..
|
{0: 'Science Apply the concept of force and inertia to predict the motion of objects.', 1: 'Religions create, and thrive on, passionate commitment and passionate conflicts.', 2: 'Mumps is more common during winter and spring.', 3: 'Heredity contributes to height, weight, and rate of physical maturation.', 4: 'Compound fractures are fractures.', 5: 'Gray whales are sensitive to noise and human disturbance.', 6: 'A polar glacier is a continental glacier.', 7: 'Sin is about relationships.', 8: 'Cysts are just collections of fluid.', 9: 'Repetition is very important in learning dance and other movements.', 10: 'People like to do things with their hands.'}
| 6 |
5,780 |
['It is a common misconception that inhabitants have (part) personality.', 'It is a fact that either gatherer isa someone or mediterranean fruit fly eradication.', 'One may reasonably assume that if mediterranean fruit fly eradication, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books.', 'We know that either economic literacy feeds economic development and prosperity or if either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems, then either inhabitants have (part) personality or separatists are neither supremacists nor racists.', "The notion that 'economic literacy feeds economic development and prosperity' is untrue.", 'Once we know the claim that if teachers present books, then either inhabitants have (part) personality or separatists are neither supremacists nor racists does not correspond with reality, we also know that beliefs are relative and vary from religion to religion, culture to culture.', 'The claim that beliefs are relative and vary from religion to religion, culture to culture has no merit.', 'Provided that we know that the claim that if gatherer isa someone, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books is false, we know that if songs are located in songbooks, then locations are workplaces.', 'Once we know we know that the claim that if gatherer isa someone, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books is false, we also know that it is not the case that if songs are located in songbooks, then locations are workplaces.']
|
It is a common misconception that inhabitants have (part) personality. It is a fact that either gatherer isa someone or mediterranean fruit fly eradication. One may reasonably assume that if mediterranean fruit fly eradication, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books. We know that either economic literacy feeds economic development and prosperity or if either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems, then either inhabitants have (part) personality or separatists are neither supremacists nor racists. The notion that 'economic literacy feeds economic development and prosperity' is untrue. Once we know the claim that if teachers present books, then either inhabitants have (part) personality or separatists are neither supremacists nor racists does not correspond with reality, we also know that beliefs are relative and vary from religion to religion, culture to culture. The claim that beliefs are relative and vary from religion to religion, culture to culture has no merit. Provided that we know that the claim that if gatherer isa someone, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books is false, we know that if songs are located in songbooks, then locations are workplaces. Once we know we know that the claim that if gatherer isa someone, then either either pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities or castration protects against testicular cancer and prostate problems or teachers present books is false, we also know that it is not the case that if songs are located in songbooks, then locations are workplaces.
|
The statement that states separatists are neither supremacists nor racists is right.
|
Separatists are sometimes literal, sometimes figurative.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (Either [1] or [0].). [SC2-2]
If [4], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either (Either [2] or [3].) or [4].). [SC2-3]
If [8], then (Either (Either [2] or [3].) or [4].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [7], then (Either (Either [2] or [3].) or [4].).).), then (If [9], then [10].).
If (Not (If [7], then (Either (Either [2] or [3].) or [4].).).), then (Not (If [9], then [10].).).
Therefore, If [7], then (Either (Either [2] or [3].) or [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Either [2] or [3].), then (Either [1] or [0].).).
Not [5].
Therefore, If (Either [2] or [3].), then (Either [1] or [0].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Either [1] or [0].).).), then [6].
Not [6].
Therefore, If [4], then (Either [1] or [0].)..
|
{0: 'Separatists are neither supremacists nor racists.', 1: 'Inhabitants have (part) personality.', 2: 'Pure aluminium is made from bauxite, a kind of rock that has aluminium oxide and many impurities.', 3: 'Castration protects against testicular cancer and prostate problems.', 4: 'Teachers present books.', 5: 'Economic literacy feeds economic development and prosperity.', 6: 'Beliefs are relative and vary from religion to religion, culture to culture.', 7: 'Gatherer isa someone.', 8: 'Mediterranean fruit fly eradication.', 9: 'Songs are located in songbooks.', 10: 'Locations are workplaces.'}
| 6 |
5,904 |
['Either protein is added through hunting or humans share a great deal with other primates, yet the differences are profound.', 'Once we know humans share a great deal with other primates, yet the differences are profound, we also know that trade unions are concerned about telecommuting.', 'There is good reason to believe that either instrumentation is used in every type of industry or biology still includes the two major divisions of botany and zoology .', 'When biology still includes the two major divisions of botany and zoology is true, it follows that if protein is added through hunting, then trade unions are concerned about telecommuting.', 'Provided that it is a common misconception that if instrumentation is used in every type of industry, then if protein is added through hunting, then trade unions are concerned about telecommuting, we know that it is a common misconception that arabian has (part) sections.', 'If rabbits require treatments, then if it is a common misconception that if instrumentation is used in every type of industry, then if protein is added through hunting, then trade unions are concerned about telecommuting, then drunkards are the most loyal supporters of folk festivals.', 'Those that suggest rabbits require treatments are right.', 'One may reasonably assume that if drunkards are the most loyal supporters of folk festivals, then chronic exposure occurs over weeks or months.', 'On the condition that chronic exposure occurs over weeks or months, it is definitely the case that arabian has (part) sections.']
|
Either protein is added through hunting or humans share a great deal with other primates, yet the differences are profound. Once we know humans share a great deal with other primates, yet the differences are profound, we also know that trade unions are concerned about telecommuting. There is good reason to believe that either instrumentation is used in every type of industry or biology still includes the two major divisions of botany and zoology . When biology still includes the two major divisions of botany and zoology is true, it follows that if protein is added through hunting, then trade unions are concerned about telecommuting. Provided that it is a common misconception that if instrumentation is used in every type of industry, then if protein is added through hunting, then trade unions are concerned about telecommuting, we know that it is a common misconception that arabian has (part) sections. If rabbits require treatments, then if it is a common misconception that if instrumentation is used in every type of industry, then if protein is added through hunting, then trade unions are concerned about telecommuting, then drunkards are the most loyal supporters of folk festivals. Those that suggest rabbits require treatments are right. One may reasonably assume that if drunkards are the most loyal supporters of folk festivals, then chronic exposure occurs over weeks or months. On the condition that chronic exposure occurs over weeks or months, it is definitely the case that arabian has (part) sections.
|
Those that suggest trade unions are concerned about telecommuting are right.
|
Those that suggest trade unions are concerned about telecommuting are right.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
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 [5]. [SC1-3]
If (Not (If [3], then (If [1], then [0].).).), then (Not [5].).
Therefore, If [3], then (If [1], then [0].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [3], then (If [1], then [0].).).), then [6]. [SC1-4]
If [6], then [5]. [SC2-4]
Therefore, If (Not (If [3], then (If [1], then [0].).).), then [5]..
[SC1-4]
Modus Ponens:
If [8], then (If (Not (If [3], then (If [1], then [0].).).), then [6].).
[8]
Therefore, If (Not (If [3], then (If [1], then [0].).).), then [6]..
[SC2-4]
Hypothetical Syllogism:
If [6], then [7].
If [7], then [5].
Therefore, If [6], then [5]..
|
{0: 'Trade unions are concerned about telecommuting.', 1: 'Protein is added through hunting.', 2: 'Humans share a great deal with other primates, yet the differences are profound.', 3: 'Instrumentation is used in every type of industry.', 4: 'Biology still includes the two major divisions of botany and zoology .', 5: 'Arabian has (part) sections.', 6: 'Drunkards are the most loyal supporters of folk festivals.', 7: 'Chronic exposure occurs over weeks or months.', 8: 'Rabbits require treatments.'}
| 6 |
5,122 |
['We know that at least one of two things is true: mice invade habitats, or families reinforce relationships through symbolic mechanisms of rituals.', "Whenever it is true that mice invade habitats, 'if grandpas share homes, then categorisation is a grouping' is true.", "Whenever it is true that if grandpas share homes, then categorisation is a grouping, 'it is not true that meiosis occurs in division' is true.", 'Either one or both of these statements are true: sinus headaches are perhaps the most mis-diagnosed type of headache, or shape is one of the factors that influences the properties of nanoparticles.', 'If sinus headaches are perhaps the most mis-diagnosed type of headache, then either saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state or if mice invade habitats, then meiosis occurs in division.', 'Given that shape is one of the factors that influences the properties of nanoparticles, it can be inferred that either saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state or if mice invade habitats, then meiosis occurs in division.', 'Should it be the case that if numerous vertebrates consume fruit, then albatrosses are as big as turkeys sitting on the ocean water, it follows that the claim that saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state is false.', "So long as numerous vertebrates consume fruit, 'albatrosses are as big as turkeys sitting on the ocean water' is true."]
|
We know that at least one of two things is true: mice invade habitats, or families reinforce relationships through symbolic mechanisms of rituals. Whenever it is true that mice invade habitats, 'if grandpas share homes, then categorisation is a grouping' is true. Whenever it is true that if grandpas share homes, then categorisation is a grouping, 'it is not true that meiosis occurs in division' is true. Either one or both of these statements are true: sinus headaches are perhaps the most mis-diagnosed type of headache, or shape is one of the factors that influences the properties of nanoparticles. If sinus headaches are perhaps the most mis-diagnosed type of headache, then either saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state or if mice invade habitats, then meiosis occurs in division. Given that shape is one of the factors that influences the properties of nanoparticles, it can be inferred that either saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state or if mice invade habitats, then meiosis occurs in division. Should it be the case that if numerous vertebrates consume fruit, then albatrosses are as big as turkeys sitting on the ocean water, it follows that the claim that saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state is false. So long as numerous vertebrates consume fruit, 'albatrosses are as big as turkeys sitting on the ocean water' is true.
|
The statement that states families reinforce relationships through symbolic mechanisms of rituals is right.
|
We know that the claim that families reinforce relationships through symbolic mechanisms of rituals is false.
|
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].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If [1], then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or (If [1], then [2].).).
If [7], then (Either [3] or (If [1], then [2].).).
Therefore, Either [3] or (If [1], then [2].)..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (Not [3].).
If [8], then [9].
Therefore, Not [3]..
[SC2-2]
Hypothetical Syllogism:
If [1], then (If [4], then [5].).
If (If [4], then [5].), then (Not [2].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Families reinforce relationships through symbolic mechanisms of rituals.', 1: 'Mice invade habitats.', 2: 'Meiosis occurs in division.', 3: 'Saltwater fish are varied and abundant in the Gulf and ocean off the shores of the entire state.', 4: 'Grandpas share homes.', 5: 'Categorisation is a grouping.', 6: 'Sinus headaches are perhaps the most mis-diagnosed type of headache.', 7: 'Shape is one of the factors that influences the properties of nanoparticles.', 8: 'Numerous vertebrates consume fruit.', 9: 'Albatrosses are as big as turkeys sitting on the ocean water.'}
| 6 |
5,946 |
['Either hay barns are tall poles with a roof and open sides or if some radioactive materials enter digestive tracts, then the claim that some producers use energy has no merit.', 'The claim that hay barns are tall poles with a roof and open sides does not correspond with reality.', "So long as the claim that if bikes have (part) coaster brakes, then some radioactive materials enter digestive tracts has no merit, 'plants obtain nutrients' is true.", "Once we know the claim that if bikes have (part) coaster brakes, then some radioactive materials enter digestive tracts has no merit, we also know that the statement that 'plants obtain nutrients' is incorrect.", "On the condition that the claim that bikes have (part) coaster brakes does not reflect reality, it is definitely the case that the statement 'lime is used by mollusks to produce their shells' can be considered false.", 'If the claim that if the claim that bikes have (part) coaster brakes does not reflect reality, then lime is used by mollusks to produce their shells has no merit, then sexual selection is influenced by many things.', 'Some people mistakenly believe that sexual selection is influenced by many things.']
|
Either hay barns are tall poles with a roof and open sides or if some radioactive materials enter digestive tracts, then the claim that some producers use energy has no merit. The claim that hay barns are tall poles with a roof and open sides does not correspond with reality. So long as the claim that if bikes have (part) coaster brakes, then some radioactive materials enter digestive tracts has no merit, 'plants obtain nutrients' is true. Once we know the claim that if bikes have (part) coaster brakes, then some radioactive materials enter digestive tracts has no merit, we also know that the statement that 'plants obtain nutrients' is incorrect. On the condition that the claim that bikes have (part) coaster brakes does not reflect reality, it is definitely the case that the statement 'lime is used by mollusks to produce their shells' can be considered false. If the claim that if the claim that bikes have (part) coaster brakes does not reflect reality, then lime is used by mollusks to produce their shells has no merit, then sexual selection is influenced by many things. Some people mistakenly believe that sexual selection is influenced by many things.
|
The claim that some producers use energy has no merit.
|
It is the case that some producers use energy.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then (Not [0].).).
Not [2].
Therefore, If [1], then (Not [0].)..
[SC2-1]
Modus Ponens:
If [3], then [1]. [SC1-2]
[3] [SC2-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then [5].
If (Not (If [3], then [1].).), then (Not [5].).
Therefore, If [3], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [4]. [SC1-3]
If (Not [3].), then (Not [4].).
Therefore, [3].
[SC1-3]
Modus Tonens:
If (Not (If (Not [3].), then [4].).), then [6].
Not [6].
Therefore, If (Not [3].), then [4]..
|
{0: 'Some producers use energy.', 1: 'Some radioactive materials enter digestive tracts.', 2: 'Hay barns are tall poles with a roof and open sides.', 3: 'Bikes have (part) coaster brakes.', 4: 'Lime is used by mollusks to produce their shells.', 5: 'Plants obtain nutrients.', 6: 'Sexual selection is influenced by many things.'}
| 6 |
5,060 |
['Given that some people mistakenly believe that if the claim that education is a shared responsibility of family, school and community is false, then it is a common misconception that courtiers have (part) cells, it can be inferred that physiotherapists are specialists in movement.', 'There is good reason to believe that either chlorotic leaves develop during spring and summer on susceptible cultivars or otters are agile and fast in the water.', "So long as chlorotic leaves develop during spring and summer on susceptible cultivars, 'if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then serotonin is a monoamine' is true.", 'When otters are agile and fast in the water is true, it follows that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then serotonin is a monoamine.', 'Provided that some people mistakenly believe that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then the claim that serotonin is a monoamine is false, we know that ecosystems serve humans because they provide natural functions.', 'Provided that some people mistakenly believe that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then the claim that serotonin is a monoamine is false, we know that we know that the claim that ecosystems serve humans because they provide natural functions is false.', "At least one of two things is true: hyperglycemia aggravates brain edema in experimental intracerebral hemorrhage, or the statement 'physiotherapists are specialists in movement' can be considered false.", "The notion that 'hyperglycemia aggravates brain edema in experimental intracerebral hemorrhage' is untrue."]
|
Given that some people mistakenly believe that if the claim that education is a shared responsibility of family, school and community is false, then it is a common misconception that courtiers have (part) cells, it can be inferred that physiotherapists are specialists in movement. There is good reason to believe that either chlorotic leaves develop during spring and summer on susceptible cultivars or otters are agile and fast in the water. So long as chlorotic leaves develop during spring and summer on susceptible cultivars, 'if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then serotonin is a monoamine' is true. When otters are agile and fast in the water is true, it follows that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then serotonin is a monoamine. Provided that some people mistakenly believe that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then the claim that serotonin is a monoamine is false, we know that ecosystems serve humans because they provide natural functions. Provided that some people mistakenly believe that if the claim that if the claim that education is a shared responsibility of family, school and community is false, then courtiers have (part) cells has no merit, then the claim that serotonin is a monoamine is false, we know that we know that the claim that ecosystems serve humans because they provide natural functions is false. At least one of two things is true: hyperglycemia aggravates brain edema in experimental intracerebral hemorrhage, or the statement 'physiotherapists are specialists in movement' can be considered false. The notion that 'hyperglycemia aggravates brain edema in experimental intracerebral hemorrhage' is untrue.
|
It is true that education is a shared responsibility of family, school and community.
|
Education is a source of freedom but it is also a source of revolutionary change.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [3]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not [0].), then [1].).), then [3].).
If [7], then (If (Not (If (Not [0].), then [1].).), then [3].).
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [3].).).), then [4].
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [3].).).), then (Not [4].).
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [3].)..
[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]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5].
Therefore, Not [2]..
|
{0: 'Education is a shared responsibility of family, school and community.', 1: 'Courtiers have (part) cells.', 2: 'Physiotherapists are specialists in movement.', 3: 'Serotonin is a monoamine.', 4: 'Ecosystems serve humans because they provide natural functions.', 5: 'Hyperglycemia aggravates brain edema in experimental intracerebral hemorrhage.', 6: 'Chlorotic leaves develop during spring and summer on susceptible cultivars.', 7: 'Otters are agile and fast in the water.'}
| 6 |
5,844 |
['When the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality is true, it follows that those that suggest county governments are responsible to citizens that directly depend upon natural resources are wrong.', 'There is good reason to believe that either home mortgages are mortgages or farmers make final decisions.', 'Once we know home mortgages are mortgages, we also know that if the statement that states if the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality, then county governments are responsible to citizens that directly depend upon natural resources is false, then some flowers look like moth wings.', 'Provided that farmers make final decisions, we know that if the statement that states if the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality, then county governments are responsible to citizens that directly depend upon natural resources is false, then some flowers look like moth wings.', 'The claim that either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors is false.', 'Provided that the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, we know that viruses attack the immune system.', 'Given that the claim that if the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, then it is a common misconception that viruses attack the immune system has no merit, it can be inferred that some forces act on gravity.', 'When the claim that if the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, then it is a common misconception that viruses attack the immune system has no merit is true, it follows that the claim that some forces act on gravity does not reflect reality.']
|
When the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality is true, it follows that those that suggest county governments are responsible to citizens that directly depend upon natural resources are wrong. There is good reason to believe that either home mortgages are mortgages or farmers make final decisions. Once we know home mortgages are mortgages, we also know that if the statement that states if the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality, then county governments are responsible to citizens that directly depend upon natural resources is false, then some flowers look like moth wings. Provided that farmers make final decisions, we know that if the statement that states if the claim that complex polygon refers to both concave polygons and polygons with holes does not correspond with reality, then county governments are responsible to citizens that directly depend upon natural resources is false, then some flowers look like moth wings. The claim that either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors is false. Provided that the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, we know that viruses attack the immune system. Given that the claim that if the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, then it is a common misconception that viruses attack the immune system has no merit, it can be inferred that some forces act on gravity. When the claim that if the claim that either either infrared radiation is the most efficient way in drying the laminate or leafy plants grow on forest floors or it is not the case that some flowers look like moth wings does not reflect reality, then it is a common misconception that viruses attack the immune system has no merit is true, it follows that the claim that some forces act on gravity does not reflect reality.
|
Those that suggest complex polygon refers to both concave polygons and polygons with holes are right.
|
Thunderbirds are roller coasters.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If (Not [0].), then [1].).), then [2].).
If [6], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Not [2].). [SC1-3]
Not (Either [3] or [4].).
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [3] or [4].) or (Not [2].).).), then [7].
If (Not (Either (Either [3] or [4].) or (Not [2].).).), then (Not [7].). [SC2-4]
Therefore, Either (Either [3] or [4].) or (Not [2].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [3] or [4].) or (Not [2].).).), then (Not [7].).).), then [8].
If (Not (If (Not (Either (Either [3] or [4].) or (Not [2].).).), then (Not [7].).).), then (Not [8].).
Therefore, If (Not (Either (Either [3] or [4].) or (Not [2].).).), then (Not [7].)..
|
{0: 'Complex polygon refers to both concave polygons and polygons with holes.', 1: 'County governments are responsible to citizens that directly depend upon natural resources.', 2: 'Some flowers look like moth wings.', 3: 'Infrared radiation is the most efficient way in drying the laminate.', 4: 'Leafy plants grow on forest floors.', 5: 'Home mortgages are mortgages.', 6: 'Farmers make final decisions.', 7: 'Viruses attack the immune system.', 8: 'Some forces act on gravity.'}
| 6 |
5,372 |
["Whenever it is true that the claim that either heavy metal is magazines or muscle spindles contain specialized stretch receptors does not reflect reality, 'either ice cores provide proxy climate data reaching back many tens of thousands of years or most vegetables provide necessary nutrients' is true.", 'Should it be the case that the claim that either heavy metal is magazines or muscle spindles contain specialized stretch receptors does not reflect reality, it follows that the claim that either ice cores provide proxy climate data reaching back many tens of thousands of years or most vegetables provide necessary nutrients does not reflect reality.', 'There is good reason to believe that either either lynxes usually live alone, except for small groups consisting of mothers and their offspring or people are, by nature, creatures that gravitate toward others like themselves or either trees can be excellent conductors of electricity or most insects attract bats.', 'Once we know either lynxes usually live alone, except for small groups consisting of mothers and their offspring or people are, by nature, creatures that gravitate toward others like themselves, we also know that susceptible plants have cell wall development.', 'Should it be the case that either trees can be excellent conductors of electricity or most insects attract bats, it follows that some people mistakenly believe that heavy metal is magazines.', 'Provided that susceptible plants have cell wall development, we know that if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation.', "Should it be the case that the statement 'if susceptible plants have cell wall development, then the statement that 'if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation' is incorrect' can be considered false, it follows that art is exalted above religions and races.", "When the statement 'if susceptible plants have cell wall development, then the statement that 'if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation' is incorrect' can be considered false is true, it follows that it is a common misconception that art is exalted above religions and races."]
|
Whenever it is true that the claim that either heavy metal is magazines or muscle spindles contain specialized stretch receptors does not reflect reality, 'either ice cores provide proxy climate data reaching back many tens of thousands of years or most vegetables provide necessary nutrients' is true. Should it be the case that the claim that either heavy metal is magazines or muscle spindles contain specialized stretch receptors does not reflect reality, it follows that the claim that either ice cores provide proxy climate data reaching back many tens of thousands of years or most vegetables provide necessary nutrients does not reflect reality. There is good reason to believe that either either lynxes usually live alone, except for small groups consisting of mothers and their offspring or people are, by nature, creatures that gravitate toward others like themselves or either trees can be excellent conductors of electricity or most insects attract bats. Once we know either lynxes usually live alone, except for small groups consisting of mothers and their offspring or people are, by nature, creatures that gravitate toward others like themselves, we also know that susceptible plants have cell wall development. Should it be the case that either trees can be excellent conductors of electricity or most insects attract bats, it follows that some people mistakenly believe that heavy metal is magazines. Provided that susceptible plants have cell wall development, we know that if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation. Should it be the case that the statement 'if susceptible plants have cell wall development, then the statement that 'if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation' is incorrect' can be considered false, it follows that art is exalted above religions and races. When the statement 'if susceptible plants have cell wall development, then the statement that 'if sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals, then rainfall is just one form of precipitation' is incorrect' can be considered false is true, it follows that it is a common misconception that art is exalted above religions and races.
|
muscle spindles contain specialized stretch receptors.
|
The notion that 'muscle spindles contain specialized stretch receptors' is untrue.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then (Either [2] or [3].).
If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either (Either [7] or [8].) or (Either [9] or [10].).
If (Either [7] or [8].), then [4].
If (Either [9] or [10].), then (Not [1].).
Therefore, Either [4] or (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (If [5], then [6].).
If [4], then (Not (If [5], then [6].).). [SC2-3]
Therefore, Not [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Not (If [5], then [6].).).).), then [11].
If (Not (If [4], then (Not (If [5], then [6].).).).), then (Not [11].).
Therefore, If [4], then (Not (If [5], then [6].).)..
|
{0: 'Muscle spindles contain specialized stretch receptors.', 1: 'Heavy metal is magazines.', 2: 'Ice cores provide proxy climate data reaching back many tens of thousands of years.', 3: 'Most vegetables provide necessary nutrients.', 4: 'Susceptible plants have cell wall development.', 5: 'Sea iguanas swarm the coastal rocks, which are frequented also by herds of sea lions and fur seals.', 6: 'Rainfall is just one form of precipitation.', 7: 'Lynxes usually live alone, except for small groups consisting of mothers and their offspring.', 8: 'People are, by nature, creatures that gravitate toward others like themselves.', 9: 'Trees can be excellent conductors of electricity.', 10: 'Most insects attract bats.', 11: 'Art is exalted above religions and races.'}
| 6 |
5,283 |
['There is good reason to believe that either if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis or capitalists are people.', 'One may reasonably assume that if capitalists are people, then most chameleons have complex behavior.', 'There is good reason to believe that either some medical scientists work with physicians or if butterflies use host plants, then real estate is the fourth investment category, and one in which many people have built wealth.', 'On the condition that some medical scientists work with physicians, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then democracy is what the people have voted for eight years ago.', 'On the condition that if butterflies use host plants, then real estate is the fourth investment category, and one in which many people have built wealth, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then democracy is what the people have voted for eight years ago.', 'Either either milk chocolate has milk as well as cocoa, cocoa butter, and varying amounts of sugar or most organisms show evidence or visual abnormalities are the most common clinical findings with feline hypertension.', 'If either milk chocolate has milk as well as cocoa, cocoa butter, and varying amounts of sugar or most organisms show evidence, then if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then virus replicates in the arthropod tissues, ultimately infecting the salivary glands.', 'On the condition that visual abnormalities are the most common clinical findings with feline hypertension, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then virus replicates in the arthropod tissues, ultimately infecting the salivary glands.', "Once we know it is not true that if virus replicates in the arthropod tissues, ultimately infecting the salivary glands, then the statement 'democracy is what the people have voted for eight years ago' can be considered false, we also know that pronghorns have lungs.", "When it is not true that if virus replicates in the arthropod tissues, ultimately infecting the salivary glands, then the statement 'democracy is what the people have voted for eight years ago' can be considered false is true, it follows that the statement that states pronghorns have lungs is false."]
|
There is good reason to believe that either if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis or capitalists are people. One may reasonably assume that if capitalists are people, then most chameleons have complex behavior. There is good reason to believe that either some medical scientists work with physicians or if butterflies use host plants, then real estate is the fourth investment category, and one in which many people have built wealth. On the condition that some medical scientists work with physicians, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then democracy is what the people have voted for eight years ago. On the condition that if butterflies use host plants, then real estate is the fourth investment category, and one in which many people have built wealth, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then democracy is what the people have voted for eight years ago. Either either milk chocolate has milk as well as cocoa, cocoa butter, and varying amounts of sugar or most organisms show evidence or visual abnormalities are the most common clinical findings with feline hypertension. If either milk chocolate has milk as well as cocoa, cocoa butter, and varying amounts of sugar or most organisms show evidence, then if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then virus replicates in the arthropod tissues, ultimately infecting the salivary glands. On the condition that visual abnormalities are the most common clinical findings with feline hypertension, it is definitely the case that if the claim that if if muscular fitness includes strength, muscle endurance, and flexibility, then some crabs go through metamorphosis, then most chameleons have complex behavior has no merit, then virus replicates in the arthropod tissues, ultimately infecting the salivary glands. Once we know it is not true that if virus replicates in the arthropod tissues, ultimately infecting the salivary glands, then the statement 'democracy is what the people have voted for eight years ago' can be considered false, we also know that pronghorns have lungs. When it is not true that if virus replicates in the arthropod tissues, ultimately infecting the salivary glands, then the statement 'democracy is what the people have voted for eight years ago' can be considered false is true, it follows that the statement that states pronghorns have lungs is false.
|
It is reasonable to believe that most chameleons have complex behavior.
|
It is reasonable to believe that most chameleons have complex behavior.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then [4]. [SC1-2]
If (Not (If (If [1], then [2].), then [0].).), then (Not [4].). [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If (Not (If (If [1], then [2].), then [0].).), then [4].).
If (If [7], then [8].), then (If (Not (If (If [1], then [2].), then [0].).), then [4].).
Therefore, If (Not (If (If [1], then [2].), then [0].).), then [4]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (If [1], then [2].), then [0].).), then [5]. [SC1-3]
If [5], then (Not [4].). [SC2-3]
Therefore, If (Not (If (If [1], then [2].), then [0].).), then (Not [4].)..
[SC1-3]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If (Not (If (If [1], then [2].), then [0].).), then [5].).
If [11], then (If (Not (If (If [1], then [2].), then [0].).), then [5].).
Therefore, If (Not (If (If [1], then [2].), then [0].).), then [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Not [4].).).), then [12].
If (Not (If [5], then (Not [4].).).), then (Not [12].).
Therefore, If [5], then (Not [4].)..
|
{0: 'Most chameleons have complex behavior.', 1: 'Muscular fitness includes strength, muscle endurance, and flexibility.', 2: 'Some crabs go through metamorphosis.', 3: 'Capitalists are people.', 4: 'Democracy is what the people have voted for eight years ago.', 5: 'Virus replicates in the arthropod tissues, ultimately infecting the salivary glands.', 6: 'Some medical scientists work with physicians.', 7: 'Butterflies use host plants.', 8: 'Real estate is the fourth investment category, and one in which many people have built wealth.', 9: 'Milk chocolate has milk as well as cocoa, cocoa butter, and varying amounts of sugar.', 10: 'Most organisms show evidence.', 11: 'Visual abnormalities are the most common clinical findings with feline hypertension.', 12: 'Pronghorns have lungs.'}
| 6 |
5,939 |
['The statement that states mutual funds are usually the preferred method of investing internationally is false.', 'At least one of two things is true: most species are capable of swimming by moving their body from side to side, or if the statement, if the claim that most squirrels eat nuts, seeds, grain, and fruit does not reflect reality, then mutual funds are usually the preferred method of investing internationally, does not hold, then either drug abuse has a major impact on schoolyard crime or celery has leaves.', "Whenever it is true that wildlife depends on insects, 'it is a common misconception that either drug abuse has a major impact on schoolyard crime or celery has leaves' is true.", 'It is a fact that either great financiers are men of faith or the claim that most species are capable of swimming by moving their body from side to side does not reflect reality.', 'The statement, great financiers are men of faith, does not hold.', 'On the condition that alcohol affects concentration and coordination, it is definitely the case that wildlife depends on insects.', 'The idea that alcohol affects concentration and coordination is true.']
|
The statement that states mutual funds are usually the preferred method of investing internationally is false. At least one of two things is true: most species are capable of swimming by moving their body from side to side, or if the statement, if the claim that most squirrels eat nuts, seeds, grain, and fruit does not reflect reality, then mutual funds are usually the preferred method of investing internationally, does not hold, then either drug abuse has a major impact on schoolyard crime or celery has leaves. Whenever it is true that wildlife depends on insects, 'it is a common misconception that either drug abuse has a major impact on schoolyard crime or celery has leaves' is true. It is a fact that either great financiers are men of faith or the claim that most species are capable of swimming by moving their body from side to side does not reflect reality. The statement, great financiers are men of faith, does not hold. On the condition that alcohol affects concentration and coordination, it is definitely the case that wildlife depends on insects. The idea that alcohol affects concentration and coordination is true.
|
The claim that most squirrels eat nuts, seeds, grain, and fruit holds true.
|
The statement that states most squirrels eat nuts, seeds, grain, and fruit 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 (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).
Not [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [4].).
Not [7].
Therefore, Not [4]..
[SC2-2]
Modus Ponens:
If [5], then (Not (Either [2] or [3].).).
[5] [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC2-3]
Modus Ponens:
If [6], then [5].
[6]
Therefore, [5].
|
{0: 'Most squirrels eat nuts, seeds, grain, and fruit.', 1: 'Mutual funds are usually the preferred method of investing internationally.', 2: 'Drug abuse has a major impact on schoolyard crime.', 3: 'Celery has leaves.', 4: 'Most species are capable of swimming by moving their body from side to side.', 5: 'Wildlife depends on insects.', 6: 'Alcohol affects concentration and coordination.', 7: 'Great financiers are men of faith.'}
| 6 |
5,608 |
['Should it be the case that it is a common misconception that if most phenotypic expression leads to development, then marine mammals have physiological responses, it follows that statistical inference combines methods of descriptive statistics with the theory of probability.', "Whenever it is true that it is a common misconception that if most phenotypic expression leads to development, then marine mammals have physiological responses, 'it is a common misconception that statistical inference combines methods of descriptive statistics with the theory of probability' is true.", 'Either one or both of these statements are true: some membranes maintain conditions, or if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray.', 'We know that at least one of two things is true: arsenic acid reacts with iodide to make iodine , or if some membranes maintain conditions, then most phenotypic expression leads to development.', 'Some people mistakenly believe that arsenic acid reacts with iodide to make iodine .', 'We know that at least one of two things is true: tables show productivity, or dust reflects starlights.', 'When dust reflects starlights is true, it follows that if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development.', "So long as some people mistakenly believe that if tables show productivity, then if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development, 'if special synods deal with matters concerning a particular region or nation, then some canons are dogmas of the faith and some are administrative' is true.", 'If some people mistakenly believe that if tables show productivity, then if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development, then the statement that states if special synods deal with matters concerning a particular region or nation, then some canons are dogmas of the faith and some are administrative is false.']
|
Should it be the case that it is a common misconception that if most phenotypic expression leads to development, then marine mammals have physiological responses, it follows that statistical inference combines methods of descriptive statistics with the theory of probability. Whenever it is true that it is a common misconception that if most phenotypic expression leads to development, then marine mammals have physiological responses, 'it is a common misconception that statistical inference combines methods of descriptive statistics with the theory of probability' is true. Either one or both of these statements are true: some membranes maintain conditions, or if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray. We know that at least one of two things is true: arsenic acid reacts with iodide to make iodine , or if some membranes maintain conditions, then most phenotypic expression leads to development. Some people mistakenly believe that arsenic acid reacts with iodide to make iodine . We know that at least one of two things is true: tables show productivity, or dust reflects starlights. When dust reflects starlights is true, it follows that if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development. So long as some people mistakenly believe that if tables show productivity, then if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development, 'if special synods deal with matters concerning a particular region or nation, then some canons are dogmas of the faith and some are administrative' is true. If some people mistakenly believe that if tables show productivity, then if if most religious denominations consider a wedding ceremony to be a form of worship service, then crocodiles are generally idle hunters that lie in wait for their pray, then most phenotypic expression leads to development, then the statement that states if special synods deal with matters concerning a particular region or nation, then some canons are dogmas of the faith and some are administrative is false.
|
The idea that marine mammals have physiological responses is true.
|
It is not the case that marine mammals have physiological responses.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].).
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then [1]. [SC2-2]
If (If [4], then [5].), then [1]. [SC3-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If [3], then [1].).
Not [8].
Therefore, If [3], then [1]..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (If [4], then [5].), then [1].). [SC2-3]
If [7], then (If (If [4], then [5].), then [1].).
Therefore, If (If [4], then [5].), then [1]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (If [4], then [5].), then [1].).).), then (If [9], then [10].).
If (Not (If [6], then (If (If [4], then [5].), then [1].).).), then (Not (If [9], then [10].).).
Therefore, If [6], then (If (If [4], then [5].), then [1].)..
|
{0: 'Marine mammals have physiological responses.', 1: 'Most phenotypic expression leads to development.', 2: 'Statistical inference combines methods of descriptive statistics with the theory of probability.', 3: 'Some membranes maintain conditions.', 4: 'Most religious denominations consider a wedding ceremony to be a form of worship service.', 5: 'Crocodiles are generally idle hunters that lie in wait for their pray.', 6: 'Tables show productivity.', 7: 'Dust reflects starlights.', 8: 'Arsenic acid reacts with iodide to make iodine .', 9: 'Special synods deal with matters concerning a particular region or nation.', 10: 'Some canons are dogmas of the faith and some are administrative.'}
| 6 |
5,495 |
['Given that canebrakes are so dense and vast as to typically exclude any other plants, it can be inferred that most abusive relationships get worse, rather than better, over time.', 'We know that at least one of two things is true: either many libraries have web sites and provide training in how to use the Internet or aquatic insects begin as nymphs then turn into duns and finally die as spinners, or either canebrakes are so dense and vast as to typically exclude any other plants or legalism also promotes fear.', 'The claim that either many libraries have web sites and provide training in how to use the Internet or aquatic insects begin as nymphs then turn into duns and finally die as spinners has no merit.', 'We know that at least one of two things is true: streets can become swift moving rivers, while basements can fill with water, or echinoderms have a hydraulic water vascular system.', 'Provided that streets can become swift moving rivers, while basements can fill with water, we know that if the claim that if legalism also promotes fear, then most abusive relationships get worse, rather than better, over time has no merit, then land snails have chambers.', 'Assuming echinoderms have a hydraulic water vascular system, we know that if the claim that if legalism also promotes fear, then most abusive relationships get worse, rather than better, over time has no merit, then land snails have chambers.', 'The statement that states factors represent factors is false.', 'We know that at least one of two things is true: trees are also medium in height with a bushy habit further reducing crop potential, or either factors represent factors or it is not true that land snails have chambers.', 'Some people mistakenly believe that trees are also medium in height with a bushy habit further reducing crop potential.']
|
Given that canebrakes are so dense and vast as to typically exclude any other plants, it can be inferred that most abusive relationships get worse, rather than better, over time. We know that at least one of two things is true: either many libraries have web sites and provide training in how to use the Internet or aquatic insects begin as nymphs then turn into duns and finally die as spinners, or either canebrakes are so dense and vast as to typically exclude any other plants or legalism also promotes fear. The claim that either many libraries have web sites and provide training in how to use the Internet or aquatic insects begin as nymphs then turn into duns and finally die as spinners has no merit. We know that at least one of two things is true: streets can become swift moving rivers, while basements can fill with water, or echinoderms have a hydraulic water vascular system. Provided that streets can become swift moving rivers, while basements can fill with water, we know that if the claim that if legalism also promotes fear, then most abusive relationships get worse, rather than better, over time has no merit, then land snails have chambers. Assuming echinoderms have a hydraulic water vascular system, we know that if the claim that if legalism also promotes fear, then most abusive relationships get worse, rather than better, over time has no merit, then land snails have chambers. The statement that states factors represent factors is false. We know that at least one of two things is true: trees are also medium in height with a bushy habit further reducing crop potential, or either factors represent factors or it is not true that land snails have chambers. Some people mistakenly believe that trees are also medium in height with a bushy habit further reducing crop potential.
|
most abusive relationships get worse, rather than better, over time.
|
Most abusive relationships get worse, rather than better, over time.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Either [1] or [2].).
Not (Either [4] or [5].).
Therefore, Either [1] or [2]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [2], then [0].).), then [3].).
If [7], then (If (Not (If [2], then [0].).), then [3].).
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].). [SC1-3]
Not [8].
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (Either [8] or (Not [3].).).
Not [9].
Therefore, Either [8] or (Not [3].)..
|
{0: 'Most abusive relationships get worse, rather than better, over time.', 1: 'Canebrakes are so dense and vast as to typically exclude any other plants.', 2: 'Legalism also promotes fear.', 3: 'Land snails have chambers.', 4: 'Many libraries have web sites and provide training in how to use the Internet.', 5: 'Aquatic insects begin as nymphs then turn into duns and finally die as spinners.', 6: 'Streets can become swift moving rivers, while basements can fill with water.', 7: 'Echinoderms have a hydraulic water vascular system.', 8: 'Factors represent factors.', 9: 'Trees are also medium in height with a bushy habit further reducing crop potential.'}
| 6 |
5,630 |
['Should it be the case that circumscription is a tool to jump to certain conclusions, it follows that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage .', 'Either surfactants are generally low in toxicity or charge is an attack.', 'When surfactants are generally low in toxicity is true, it follows that some people mistakenly believe that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage .', 'Should it be the case that charge is an attack, it follows that some people mistakenly believe that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage .', 'Assuming combustion also happens in forest fires, we know that either circumscription is a tool to jump to certain conclusions or coffee bushes grow directly under the sun.', 'It is reasonable to believe that combustion also happens in forest fires.', 'Either one or both of these statements are true: hospitals are busy places and sometimes it is difficult to get needed rest, or if coffee bushes grow directly under the sun, then those that suggest gravitational potential energy becomes energy are wrong.', "When hospitals are busy places and sometimes it is difficult to get needed rest is true, it follows that if china is by far the world 's largest user of container transport , then conflict precedes propaganda and the technology of warfare.", "It is not true that if china is by far the world 's largest user of container transport , then conflict precedes propaganda and the technology of warfare."]
|
Should it be the case that circumscription is a tool to jump to certain conclusions, it follows that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage . Either surfactants are generally low in toxicity or charge is an attack. When surfactants are generally low in toxicity is true, it follows that some people mistakenly believe that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage . Should it be the case that charge is an attack, it follows that some people mistakenly believe that either fertilizer is fertilizer, regardless of the brand name or extinction is the termination of evolutionary lineage . Assuming combustion also happens in forest fires, we know that either circumscription is a tool to jump to certain conclusions or coffee bushes grow directly under the sun. It is reasonable to believe that combustion also happens in forest fires. Either one or both of these statements are true: hospitals are busy places and sometimes it is difficult to get needed rest, or if coffee bushes grow directly under the sun, then those that suggest gravitational potential energy becomes energy are wrong. When hospitals are busy places and sometimes it is difficult to get needed rest is true, it follows that if china is by far the world 's largest user of container transport , then conflict precedes propaganda and the technology of warfare. It is not true that if china is by far the world 's largest user of container transport , then conflict precedes propaganda and the technology of warfare.
|
Those that suggest gravitational potential energy becomes energy are wrong.
|
It is a common misconception that gravitational potential energy raises temperature.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4]. [SC1-2]
If [3], then (Either [1] or [2].).
If [4], then (Not [0].). [SC3-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (Either [3] or [4].).
[8]
Therefore, Either [3] or [4]..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If [4], then (Not [0].).).
Not [7]. [SC2-3]
Therefore, If [4], then (Not [0].)..
[SC2-3]
Modus Tonens:
If [7], then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Not [7]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not (Either [1] or [2].).).
If [6], then (Not (Either [1] or [2].).).
Therefore, Not (Either [1] or [2].)..
|
{0: 'Gravitational potential energy becomes energy.', 1: 'Fertilizer is fertilizer, regardless of the brand name.', 2: 'Extinction is the termination of evolutionary lineage .', 3: 'Circumscription is a tool to jump to certain conclusions.', 4: 'Coffee bushes grow directly under the sun.', 5: 'Surfactants are generally low in toxicity.', 6: 'Charge is an attack.', 7: 'Hospitals are busy places and sometimes it is difficult to get needed rest.', 8: 'Combustion also happens in forest fires.', 9: "China is by far the world 's largest user of container transport .", 10: 'Conflict precedes propaganda and the technology of warfare.'}
| 6 |
5,596 |
["The statement 'either micronutrients prevent cancer and delay aging or penis isa organ' can be considered false.", 'There is good reason to believe that either eaters have long necks or bluebirds nest in tree cavities and fly among field grasses looking for insects.', "Whenever it is true that eaters have long necks, 'either rim isa shape or either angiosperms are species or those that suggest snowplows travel under the speed limit when clearing the roads are wrong' is true.", 'Once we know bluebirds nest in tree cavities and fly among field grasses looking for insects, we also know that either rim isa shape or either angiosperms are species or those that suggest snowplows travel under the speed limit when clearing the roads are wrong.', 'Assuming rim isa shape, we know that kill can involve guilt.', 'When rim isa shape is true, it follows that the claim that kill can involve guilt does not correspond with reality.', 'It is rational to believe that either massage improves body image in people suffering from eating disorders or moles use their paws to tunnel through the ground searching for ants, earthworms and grubs.', 'Once we know massage improves body image in people suffering from eating disorders, we also know that if angiosperms are species, then either micronutrients prevent cancer and delay aging or penis isa organ.', "So long as moles use their paws to tunnel through the ground searching for ants, earthworms and grubs, 'if angiosperms are species, then either micronutrients prevent cancer and delay aging or penis isa organ' is true."]
|
The statement 'either micronutrients prevent cancer and delay aging or penis isa organ' can be considered false. There is good reason to believe that either eaters have long necks or bluebirds nest in tree cavities and fly among field grasses looking for insects. Whenever it is true that eaters have long necks, 'either rim isa shape or either angiosperms are species or those that suggest snowplows travel under the speed limit when clearing the roads are wrong' is true. Once we know bluebirds nest in tree cavities and fly among field grasses looking for insects, we also know that either rim isa shape or either angiosperms are species or those that suggest snowplows travel under the speed limit when clearing the roads are wrong. Assuming rim isa shape, we know that kill can involve guilt. When rim isa shape is true, it follows that the claim that kill can involve guilt does not correspond with reality. It is rational to believe that either massage improves body image in people suffering from eating disorders or moles use their paws to tunnel through the ground searching for ants, earthworms and grubs. Once we know massage improves body image in people suffering from eating disorders, we also know that if angiosperms are species, then either micronutrients prevent cancer and delay aging or penis isa organ. So long as moles use their paws to tunnel through the ground searching for ants, earthworms and grubs, 'if angiosperms are species, then either micronutrients prevent cancer and delay aging or penis isa organ' is true.
|
Those that suggest snowplows travel under the speed limit when clearing the roads are wrong.
|
Those that suggest snowplows provide a fast, efficient way to keep roads open, but annual costs are often high are wrong.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or (Not [0].).). [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [2] or (Either [1] or (Not [0].).).).
If [9], then (Either [2] or (Either [1] or (Not [0].).).).
Therefore, Either [2] or (Either [1] or (Not [0].).)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [7].
If [2], then (Not [7].).
Therefore, Not [2]..
[SC2-1]
Modus Tonens:
If [1], then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then (Either [3] or [4].).).
If [6], then (If [1], then (Either [3] or [4].).).
Therefore, If [1], then (Either [3] or [4].)..
|
{0: 'Snowplows travel under the speed limit when clearing the roads.', 1: 'Angiosperms are species.', 2: 'Rim isa shape.', 3: 'Micronutrients prevent cancer and delay aging.', 4: 'Penis isa organ.', 5: 'Massage improves body image in people suffering from eating disorders.', 6: 'Moles use their paws to tunnel through the ground searching for ants, earthworms and grubs.', 7: 'Kill can involve guilt.', 8: 'Eaters have long necks.', 9: 'Bluebirds nest in tree cavities and fly among field grasses looking for insects.'}
| 6 |
5,713 |
["So long as denial is one natural mechanism that humans have to deal with an excess of anxiety and fear, 'if some people mistakenly believe that animals evolve over time, then the claim that gambits are remarks does not reflect reality' is true.", 'When breeders realize potential is true, it follows that if some people mistakenly believe that animals evolve over time, then the claim that gambits are remarks does not reflect reality.', 'Provided that some people mistakenly believe that if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then pinnipeds are seals, sea lions, and walruses, we know that nerve cells are large, complicated, highly specialized cells.', 'Given that some people mistakenly believe that if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then pinnipeds are seals, sea lions, and walruses, it can be inferred that the claim that nerve cells are large, complicated, highly specialized cells does not correspond with reality.', 'One may reasonably assume that if blackburnian Warblers are common breeders in coniferous plantations on site, then if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then some people mistakenly believe that pinnipeds are seals, sea lions, and walruses.', 'blackburnian Warblers are common breeders in coniferous plantations on site.', 'Given that some people mistakenly believe that either denial is one natural mechanism that humans have to deal with an excess of anxiety and fear or breeders realize potential, it can be inferred that either rationality is a synthesis of perspectives or tibetan Mastiffs make excellent watchdogs and protectors, but tend to bark frequently.', "The statement 'either rationality is a synthesis of perspectives or tibetan Mastiffs make excellent watchdogs and protectors, but tend to bark frequently' can be considered false."]
|
So long as denial is one natural mechanism that humans have to deal with an excess of anxiety and fear, 'if some people mistakenly believe that animals evolve over time, then the claim that gambits are remarks does not reflect reality' is true. When breeders realize potential is true, it follows that if some people mistakenly believe that animals evolve over time, then the claim that gambits are remarks does not reflect reality. Provided that some people mistakenly believe that if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then pinnipeds are seals, sea lions, and walruses, we know that nerve cells are large, complicated, highly specialized cells. Given that some people mistakenly believe that if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then pinnipeds are seals, sea lions, and walruses, it can be inferred that the claim that nerve cells are large, complicated, highly specialized cells does not correspond with reality. One may reasonably assume that if blackburnian Warblers are common breeders in coniferous plantations on site, then if it is a common misconception that if some people mistakenly believe that animals evolve over time, then gambits are remarks, then some people mistakenly believe that pinnipeds are seals, sea lions, and walruses. blackburnian Warblers are common breeders in coniferous plantations on site. Given that some people mistakenly believe that either denial is one natural mechanism that humans have to deal with an excess of anxiety and fear or breeders realize potential, it can be inferred that either rationality is a synthesis of perspectives or tibetan Mastiffs make excellent watchdogs and protectors, but tend to bark frequently. The statement 'either rationality is a synthesis of perspectives or tibetan Mastiffs make excellent watchdogs and protectors, but tend to bark frequently' can be considered false.
|
The idea that animals evolve over time is true.
|
Animals compete when animals that compete have the most offspring.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [8].
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [8].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If (Not [0].), then [1].).), then (Not [2].).).
[5]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Not [1].).).
If [4], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either [3] or [4]..
|
{0: 'Animals evolve over time.', 1: 'Gambits are remarks.', 2: 'Pinnipeds are seals, sea lions, and walruses.', 3: 'Denial is one natural mechanism that humans have to deal with an excess of anxiety and fear.', 4: 'Breeders realize potential.', 5: 'Blackburnian Warblers are common breeders in coniferous plantations on site.', 6: 'Rationality is a synthesis of perspectives.', 7: 'Tibetan Mastiffs make excellent watchdogs and protectors, but tend to bark frequently.', 8: 'Nerve cells are large, complicated, highly specialized cells.'}
| 6 |
5,753 |
['On the condition that fundamentalists are concerned with why the price is what it is, it is definitely the case that the claim that photons orbit the black hole at the distance of the photon sphere has no merit.', 'On the condition that armyworms have six stages of growth, it is definitely the case that fundamentalists are concerned with why the price is what it is.', 'If infection requires therapy, then water is essential for enzymes to function properly in the digestive process.', 'Once we know water is essential for enzymes to function properly in the digestive process, we also know that if statins can also cause liver problems, then clubhouses are part of south parks.', 'Should it be the case that if statins can also cause liver problems, then clubhouses are part of south parks, it follows that the claim that photons orbit the black hole at the distance of the photon sphere has no merit.', 'It is rational to believe that either most dogs are owned by people or if geese have salt glands, then physics deals with the universal and the subatomic, with motion, heat, light, electricity.', "When most dogs are owned by people is true, it follows that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then bigots never die, they just rot away from the inside.", "Given that if geese have salt glands, then physics deals with the universal and the subatomic, with motion, heat, light, electricity, it can be inferred that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then bigots never die, they just rot away from the inside.", "One may reasonably assume that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then a resumption is a beginning.", 'Should it be the case that a resumption is a beginning, it follows that the claim that bigots never die, they just rot away from the inside does not reflect reality.']
|
On the condition that fundamentalists are concerned with why the price is what it is, it is definitely the case that the claim that photons orbit the black hole at the distance of the photon sphere has no merit. On the condition that armyworms have six stages of growth, it is definitely the case that fundamentalists are concerned with why the price is what it is. If infection requires therapy, then water is essential for enzymes to function properly in the digestive process. Once we know water is essential for enzymes to function properly in the digestive process, we also know that if statins can also cause liver problems, then clubhouses are part of south parks. Should it be the case that if statins can also cause liver problems, then clubhouses are part of south parks, it follows that the claim that photons orbit the black hole at the distance of the photon sphere has no merit. It is rational to believe that either most dogs are owned by people or if geese have salt glands, then physics deals with the universal and the subatomic, with motion, heat, light, electricity. When most dogs are owned by people is true, it follows that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then bigots never die, they just rot away from the inside. Given that if geese have salt glands, then physics deals with the universal and the subatomic, with motion, heat, light, electricity, it can be inferred that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then bigots never die, they just rot away from the inside. One may reasonably assume that if the notion that 'either armyworms have six stages of growth or infection requires therapy' is untrue, then a resumption is a beginning. Should it be the case that a resumption is a beginning, it follows that the claim that bigots never die, they just rot away from the inside does not reflect reality.
|
The claim that photons orbit the black hole at the distance of the photon sphere has no merit.
|
The claim that photons orbit the black hole at the distance of the photon sphere has no merit.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4]. [SC1-2]
If [3], then [1].
If [4], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [7]. [SC1-3]
If (Not (Either [3] or [4].).), then (Not [7].). [SC2-3]
Therefore, Either [3] or [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If (Not (Either [3] or [4].).), then [7].).
If (If [9], then [10].), then (If (Not (Either [3] or [4].).), then [7].).
Therefore, If (Not (Either [3] or [4].).), then [7]..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [3] or [4].).), then [11].
If [11], then (Not [7].).
Therefore, If (Not (Either [3] or [4].).), then (Not [7].)..
[SC3-1]
Hypothetical Syllogism:
If [2], then (If [5], then [6].).
If (If [5], then [6].), then (Not [0].).
Therefore, If [2], then (Not [0].)..
|
{0: 'Photons orbit the black hole at the distance of the photon sphere.', 1: 'Fundamentalists are concerned with why the price is what it is.', 2: 'Water is essential for enzymes to function properly in the digestive process.', 3: 'Armyworms have six stages of growth.', 4: 'Infection requires therapy.', 5: 'Statins can also cause liver problems.', 6: 'Clubhouses are part of south parks.', 7: 'Bigots never die, they just rot away from the inside.', 8: 'Most dogs are owned by people.', 9: 'Geese have salt glands.', 10: 'Physics deals with the universal and the subatomic, with motion, heat, light, electricity.', 11: 'A resumption is a beginning.'}
| 6 |
5,624 |
['Assuming it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, we know that tassels are panicles.', 'On the condition that tassels are panicles, it is definitely the case that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers.', 'Provided that it is not true that either ladies have breathe tubes or self medication is dangerous and inefficient, we know that minor phyla have larvae.', 'The statement, minor phyla have larvae, does not hold.', 'Once we know the statement that states if ladies have breathe tubes, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false is false, we also know that many rodent species make good pets - they are generally easy and inexpensive to look after.', 'Given that the statement that states if ladies have breathe tubes, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false is false, it can be inferred that those that suggest many rodent species make good pets - they are generally easy and inexpensive to look after are wrong.', 'Once we know puppies lick faces, we also know that if self medication is dangerous and inefficient, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false.', 'Many people rightly believe that puppies lick faces.']
|
Assuming it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, we know that tassels are panicles. On the condition that tassels are panicles, it is definitely the case that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers. Provided that it is not true that either ladies have breathe tubes or self medication is dangerous and inefficient, we know that minor phyla have larvae. The statement, minor phyla have larvae, does not hold. Once we know the statement that states if ladies have breathe tubes, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false is false, we also know that many rodent species make good pets - they are generally easy and inexpensive to look after. Given that the statement that states if ladies have breathe tubes, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false is false, it can be inferred that those that suggest many rodent species make good pets - they are generally easy and inexpensive to look after are wrong. Once we know puppies lick faces, we also know that if self medication is dangerous and inefficient, then if it is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc, then the claim that either plants help make soil or crosstalk are artifacts arising in the CCDs due to multiple amplifiers is false. Many people rightly believe that puppies lick faces.
|
The statement 'children vary in the norms of development, from the age they start to walk, talk, read, etc' can be considered true.
|
It is not the case that children vary in the norms of development, from the age they start to walk, talk, read, etc.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then (Either [1] or [2].).
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC2-2]
If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).). [SC3-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then [7].
Not [7].
Therefore, Either [4] or [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then [8].
If (Not (If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).).).), then (Not [8].).
Therefore, If [4], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
[SC3-2]
Modus Ponens:
If [6], then (If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).).).
[6]
Therefore, If [5], then (If (Not [0].), then (Not (Either [1] or [2].).).)..
|
{0: 'Children vary in the norms of development, from the age they start to walk, talk, read, etc.', 1: 'Plants help make soil.', 2: 'Crosstalk are artifacts arising in the CCDs due to multiple amplifiers.', 3: 'Tassels are panicles.', 4: 'Ladies have breathe tubes.', 5: 'Self medication is dangerous and inefficient.', 6: 'Puppies lick faces.', 7: 'Minor phyla have larvae.', 8: 'Many rodent species make good pets - they are generally easy and inexpensive to look after.'}
| 6 |
5,312 |
['On the condition that cats often lose their appetites and become more irritable as well, it is definitely the case that butterflies have strong muscles in our thorax which forces our wings up and down on a fulcrum basis.', 'Either one or both of these statements are true: ethanol is a gasoline additive that reduces air pollution, or salt produces a cubic crystal.', 'Given that ethanol is a gasoline additive that reduces air pollution, it can be inferred that cats often lose their appetites and become more irritable as well.', 'Should it be the case that butterflies have strong muscles in our thorax which forces our wings up and down on a fulcrum basis, it follows that phonology is concerned with the use of language elements such as vowel or consonant sounds.', 'One may reasonably assume that if phonology is concerned with the use of language elements such as vowel or consonant sounds, then if mesotrophic lakes are in between oligo and eutrophic lakes, then hydrospheres have (part) bays.', 'The claim that spawn has (part) lobes has no merit.', 'Either one or both of these statements are true: meperidine can be habit-forming, or all matter emits vibrations.', 'Assuming meperidine can be habit-forming, we know that spawn has (part) lobes.', 'Once we know all matter emits vibrations, we also know that if salt produces a cubic crystal, then cats often lose their appetites and become more irritable as well.']
|
On the condition that cats often lose their appetites and become more irritable as well, it is definitely the case that butterflies have strong muscles in our thorax which forces our wings up and down on a fulcrum basis. Either one or both of these statements are true: ethanol is a gasoline additive that reduces air pollution, or salt produces a cubic crystal. Given that ethanol is a gasoline additive that reduces air pollution, it can be inferred that cats often lose their appetites and become more irritable as well. Should it be the case that butterflies have strong muscles in our thorax which forces our wings up and down on a fulcrum basis, it follows that phonology is concerned with the use of language elements such as vowel or consonant sounds. One may reasonably assume that if phonology is concerned with the use of language elements such as vowel or consonant sounds, then if mesotrophic lakes are in between oligo and eutrophic lakes, then hydrospheres have (part) bays. The claim that spawn has (part) lobes has no merit. Either one or both of these statements are true: meperidine can be habit-forming, or all matter emits vibrations. Assuming meperidine can be habit-forming, we know that spawn has (part) lobes. Once we know all matter emits vibrations, we also know that if salt produces a cubic crystal, then cats often lose their appetites and become more irritable as well.
|
Whenever it is true that mesotrophic lakes are in between oligo and eutrophic lakes, 'hydrospheres have (part) bays' is true.
|
Given that mesotrophic lakes are in between oligo and eutrophic lakes, it can be inferred that most hydrospheres are part of worlds.
|
Uncertain
|
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].
If [5], then (If [0], then [1].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (If [0], then [1].).
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]
Disjunctive Syllogism:
Either [6] or (If [4], then [2].). [SC1-3]
Not [6].
Therefore, If [4], then [2]..
[SC1-3]
Constructive Dilemma:
Either [8] or [9].
If [8], then [6].
If [9], then (If [4], then [2].).
Therefore, Either [6] or (If [4], then [2].)..
|
{0: 'Mesotrophic lakes are in between oligo and eutrophic lakes.', 1: 'Hydrospheres have (part) bays.', 2: 'Cats often lose their appetites and become more irritable as well.', 3: 'Ethanol is a gasoline additive that reduces air pollution.', 4: 'Salt produces a cubic crystal.', 5: 'Butterflies have strong muscles in our thorax which forces our wings up and down on a fulcrum basis.', 6: 'Spawn has (part) lobes.', 7: 'Phonology is concerned with the use of language elements such as vowel or consonant sounds.', 8: 'Meperidine can be habit-forming.', 9: 'All matter emits vibrations.'}
| 6 |
5,008 |
['It is not the case that geysers are known to have existed in at least a dozen other areas on the island.', "On the condition that tropical storms are cyclone, it is definitely the case that if the statement 'if the claim that photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea does not correspond with reality, then geysers are known to have existed in at least a dozen other areas on the island' can be considered false, then llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations.", "On the condition that most grasshoppers has-part legs, it is definitely the case that if the statement 'if the claim that photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea does not correspond with reality, then geysers are known to have existed in at least a dozen other areas on the island' can be considered false, then llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations.", "So long as llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations, 'natural gas is mainly methane, the simplest and cleanest burning hydrocarbon' is true.", 'Provided that we know that the claim that either tropical storms are cyclone or most grasshoppers has-part legs is false, we know that heads have (part) ears.', "So long as we know that the claim that either tropical storms are cyclone or most grasshoppers has-part legs is false, 'it is a common misconception that heads have (part) ears' is true.", 'There is good reason to believe that either if diesel fuel contains impurities that adversely affect engine performance, then radiation is the method by which the sun heats the earth or the claim that natural gas is mainly methane, the simplest and cleanest burning hydrocarbon is false.', 'The claim that if diesel fuel contains impurities that adversely affect engine performance, then radiation is the method by which the sun heats the earth is false.']
|
It is not the case that geysers are known to have existed in at least a dozen other areas on the island. On the condition that tropical storms are cyclone, it is definitely the case that if the statement 'if the claim that photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea does not correspond with reality, then geysers are known to have existed in at least a dozen other areas on the island' can be considered false, then llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations. On the condition that most grasshoppers has-part legs, it is definitely the case that if the statement 'if the claim that photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea does not correspond with reality, then geysers are known to have existed in at least a dozen other areas on the island' can be considered false, then llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations. So long as llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations, 'natural gas is mainly methane, the simplest and cleanest burning hydrocarbon' is true. Provided that we know that the claim that either tropical storms are cyclone or most grasshoppers has-part legs is false, we know that heads have (part) ears. So long as we know that the claim that either tropical storms are cyclone or most grasshoppers has-part legs is false, 'it is a common misconception that heads have (part) ears' is true. There is good reason to believe that either if diesel fuel contains impurities that adversely affect engine performance, then radiation is the method by which the sun heats the earth or the claim that natural gas is mainly methane, the simplest and cleanest burning hydrocarbon is false. The claim that if diesel fuel contains impurities that adversely affect engine performance, then radiation is the method by which the sun heats the earth is false.
|
The claim that photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea holds true.
|
The notion that 'photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).
If [4], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [6].
If (Not (Either [3] or [4].).), then (Not [6].).
Therefore, Either [3] or [4]..
[SC2-2]
Modus Tonens:
If [2], then [5].
Not [5]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not [5].).
Not (If [7], then [8].).
Therefore, Not [5]..
|
{0: 'Photosynthetic forms are found in almost all branches of the bacteria, but in none of the archaea.', 1: 'Geysers are known to have existed in at least a dozen other areas on the island.', 2: 'Llamas provide an easy way to enjoy the outdoors, especially for people with physical limitations.', 3: 'Tropical storms are cyclone.', 4: 'Most grasshoppers has-part legs.', 5: 'Natural gas is mainly methane, the simplest and cleanest burning hydrocarbon.', 6: 'Heads have (part) ears.', 7: 'Diesel fuel contains impurities that adversely affect engine performance.', 8: 'Radiation is the method by which the sun heats the earth.'}
| 6 |
5,529 |
['Once we know it is not the case that either acid is a side effect of diet, stress, toxins and poisons or source code is the term used in web site designing and development, we also know that the statement, traditional sonnets have a rhyme pattern, does not hold.', 'Provided that acid is a side effect of diet, stress, toxins and poisons, we know that the statement that states if rotation is sequences, then most people have feet is false.', "Whenever it is true that dances use elements such as space, time, the body's weight, and energy to achieve their purposes, 'if it is not the case that either acid is a side effect of diet, stress, toxins and poisons or source code is the term used in web site designing and development, then traditional sonnets have a rhyme pattern' is true.", "The idea that dances use elements such as space, time, the body's weight, and energy to achieve their purposes is true.", 'Should it be the case that the claim that if acid is a side effect of diet, stress, toxins and poisons, then if rotation is sequences, then most people have feet does not correspond with reality, it follows that some people mistakenly believe that moisture is critical to break down a seed s shell and promote growth.', "So long as the statement that states if the claim that if acid is a side effect of diet, stress, toxins and poisons, then if rotation is sequences, then most people have feet does not correspond with reality, then moisture is critical to break down a seed s shell and promote growth is false, 'if reductionism promotes alienation, isolation and disconnection, then food attracts dogs' is true.", "The statement that 'if reductionism promotes alienation, isolation and disconnection, then food attracts dogs' is incorrect."]
|
Once we know it is not the case that either acid is a side effect of diet, stress, toxins and poisons or source code is the term used in web site designing and development, we also know that the statement, traditional sonnets have a rhyme pattern, does not hold. Provided that acid is a side effect of diet, stress, toxins and poisons, we know that the statement that states if rotation is sequences, then most people have feet is false. Whenever it is true that dances use elements such as space, time, the body's weight, and energy to achieve their purposes, 'if it is not the case that either acid is a side effect of diet, stress, toxins and poisons or source code is the term used in web site designing and development, then traditional sonnets have a rhyme pattern' is true. The idea that dances use elements such as space, time, the body's weight, and energy to achieve their purposes is true. Should it be the case that the claim that if acid is a side effect of diet, stress, toxins and poisons, then if rotation is sequences, then most people have feet does not correspond with reality, it follows that some people mistakenly believe that moisture is critical to break down a seed s shell and promote growth. So long as the statement that states if the claim that if acid is a side effect of diet, stress, toxins and poisons, then if rotation is sequences, then most people have feet does not correspond with reality, then moisture is critical to break down a seed s shell and promote growth is false, 'if reductionism promotes alienation, isolation and disconnection, then food attracts dogs' is true. The statement that 'if reductionism promotes alienation, isolation and disconnection, then food attracts dogs' is incorrect.
|
It is reasonable to believe that source code is the term used in web site designing and development.
|
Source codes are the computer programs that run all of the plane's electronic systems.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [4]. [SC1-2]
If (Not (Either [1] or [0].).), then (Not [4].).
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (Either [1] or [0].).), then [4].).
[5]
Therefore, If (Not (Either [1] or [0].).), then [4]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (If [2], then [3].). [SC1-2]
If [1], then (Not (If [2], then [3].).).
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (If [2], then [3].).).), then [6]. [SC1-3]
If (Not (If [1], then (If [2], then [3].).).), then (Not [6].).
Therefore, If [1], then (If [2], then [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [1], then (If [2], then [3].).).), then [6].).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If (Not (If [1], then (If [2], then [3].).).), then [6]..
|
{0: 'Source code is the term used in web site designing and development.', 1: 'Acid is a side effect of diet, stress, toxins and poisons.', 2: 'Rotation is sequences.', 3: 'Most people have feet.', 4: 'Traditional sonnets have a rhyme pattern.', 5: "Dances use elements such as space, time, the body's weight, and energy to achieve their purposes.", 6: 'Moisture is critical to break down a seed s shell and promote growth.', 7: 'Reductionism promotes alienation, isolation and disconnection.', 8: 'Food attracts dogs.'}
| 6 |
5,876 |
['Either one or both of these statements are true: either male gametes consists of large nucleus with thin sheath of cytoplasm or great circles are circles drawn on a sphere with the same radius as the sphere, or either leucocytes accumulate at the inflamed site to combat invading bacteria or either osteoporosis is a special problem for women or divergent evolution is evident in the variation between internal and external shells.', 'The claim that either male gametes consists of large nucleus with thin sheath of cytoplasm or great circles are circles drawn on a sphere with the same radius as the sphere does not reflect reality.', 'It is rational to believe that either if people are capable of fish fish, then machine translation is the process by which a machine translates text from one language to another or either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate.', 'Given that if people are capable of fish fish, then machine translation is the process by which a machine translates text from one language to another, it can be inferred that if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false.', 'Either one or both of these statements are true: many factors influence the formation of clot and the routing of venous blood through an extremity, or if either osteoporosis is a special problem for women or divergent evolution is evident in the variation between internal and external shells, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false.', 'The claim that many factors influence the formation of clot and the routing of venous blood through an extremity is false.', "Whenever it is true that most vultures have few natural predators, 'if either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate, then if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false' is true.", "So long as junkies are junkies because they decided to be junkies, 'if either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate, then if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false' is true.", 'Assuming it is not the case that either most vultures have few natural predators or junkies are junkies because they decided to be junkies, we know that gooseberries are so tart that they generally are cooked and sweetened.', 'Once we know it is not the case that either most vultures have few natural predators or junkies are junkies because they decided to be junkies, we also know that we know that the claim that gooseberries are so tart that they generally are cooked and sweetened is false.']
|
Either one or both of these statements are true: either male gametes consists of large nucleus with thin sheath of cytoplasm or great circles are circles drawn on a sphere with the same radius as the sphere, or either leucocytes accumulate at the inflamed site to combat invading bacteria or either osteoporosis is a special problem for women or divergent evolution is evident in the variation between internal and external shells. The claim that either male gametes consists of large nucleus with thin sheath of cytoplasm or great circles are circles drawn on a sphere with the same radius as the sphere does not reflect reality. It is rational to believe that either if people are capable of fish fish, then machine translation is the process by which a machine translates text from one language to another or either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate. Given that if people are capable of fish fish, then machine translation is the process by which a machine translates text from one language to another, it can be inferred that if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false. Either one or both of these statements are true: many factors influence the formation of clot and the routing of venous blood through an extremity, or if either osteoporosis is a special problem for women or divergent evolution is evident in the variation between internal and external shells, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false. The claim that many factors influence the formation of clot and the routing of venous blood through an extremity is false. Whenever it is true that most vultures have few natural predators, 'if either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate, then if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false' is true. So long as junkies are junkies because they decided to be junkies, 'if either autumn is a second spring when every leaf is a flower or energy generated by the cell is used to cause the flagellum or flagella to rotate, then if leucocytes accumulate at the inflamed site to combat invading bacteria, then the statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false' is true. Assuming it is not the case that either most vultures have few natural predators or junkies are junkies because they decided to be junkies, we know that gooseberries are so tart that they generally are cooked and sweetened. Once we know it is not the case that either most vultures have few natural predators or junkies are junkies because they decided to be junkies, we also know that we know that the claim that gooseberries are so tart that they generally are cooked and sweetened is false.
|
The statement that states either most hospitals have dentists on call for dental emergencies or cellulose decomposes rapidly and leaves little residue on the soil surface is false.
|
Those that suggest hospitals are establishments permanently staffed by at least one physician are wrong.
|
Uncertain
|
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-1]
If [2], then (Not (Either [0] or [1].).). [SC2-1]
If (Either [3] or [4].), then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (Either [2] or (Either [3] or [4].).).
Not (Either [9] or [10].).
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-1]
Disjunction Elimination:
Either (If [5], then [6].) or (Either [7] or [8].).
If (If [5], then [6].), then (If [2], then (Not (Either [0] or [1].).).).
If (Either [7] or [8].), then (If [2], then (Not (Either [0] or [1].).).). [SC3-2]
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC3-2]
Disjunction Elimination:
Either [12] or [13]. [SC1-3]
If [12], then (If (Either [7] or [8].), then (If [2], then (Not (Either [0] or [1].).).).).
If [13], then (If (Either [7] or [8].), then (If [2], then (Not (Either [0] or [1].).).).).
Therefore, If (Either [7] or [8].), then (If [2], then (Not (Either [0] or [1].).).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [12] or [13].).), then [14].
If (Not (Either [12] or [13].).), then (Not [14].).
Therefore, Either [12] or [13]..
[SC3-1]
Disjunctive Syllogism:
Either [11] or (If (Either [3] or [4].), then (Not (Either [0] or [1].).).).
Not [11].
Therefore, If (Either [3] or [4].), then (Not (Either [0] or [1].).)..
|
{0: 'Most hospitals have dentists on call for dental emergencies.', 1: 'Cellulose decomposes rapidly and leaves little residue on the soil surface.', 2: 'Leucocytes accumulate at the inflamed site to combat invading bacteria.', 3: 'Osteoporosis is a special problem for women.', 4: 'Divergent evolution is evident in the variation between internal and external shells.', 5: 'People are capable of fish fish.', 6: 'Machine translation is the process by which a machine translates text from one language to another.', 7: 'Autumn is a second spring when every leaf is a flower.', 8: 'Energy generated by the cell is used to cause the flagellum or flagella to rotate.', 9: 'Male gametes consists of large nucleus with thin sheath of cytoplasm.', 10: 'Great circles are circles drawn on a sphere with the same radius as the sphere.', 11: 'Many factors influence the formation of clot and the routing of venous blood through an extremity.', 12: 'Most vultures have few natural predators.', 13: 'Junkies are junkies because they decided to be junkies.', 14: 'Gooseberries are so tart that they generally are cooked and sweetened.'}
| 6 |
5,101 |
['Assuming either passports are definitive proof of citizenship of a particular nationality or a wood horsetail is a horsetail, we know that if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form.', "It is a fact that either copyrights are legal rights or the statement that 'dictionaries can be in print or digital form' is incorrect.", 'The claim that copyrights are legal rights has no merit.', 'At least one of two things is true: either habituation characterizes auditory sensory memory or computers are often tempermental, or either weight loss can improve memory or either passports are definitive proof of citizenship of a particular nationality or a wood horsetail is a horsetail.', 'Those that suggest either habituation characterizes auditory sensory memory or computers are often tempermental are wrong.', 'Should it be the case that either trace fossils can also help to establish evolutionary trends or staves are part of barrels, it follows that if weight loss can improve memory, then if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form.', 'Provided that quality time is defined as periods when everyone is awake and nobody is yelling, we know that if weight loss can improve memory, then if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form.', 'Provided that the claim that either either trace fossils can also help to establish evolutionary trends or staves are part of barrels or quality time is defined as periods when everyone is awake and nobody is yelling does not correspond with reality, we know that cigarette smoke produces carbon monoxide.', 'When the claim that either either trace fossils can also help to establish evolutionary trends or staves are part of barrels or quality time is defined as periods when everyone is awake and nobody is yelling does not correspond with reality is true, it follows that the claim that cigarette smoke produces carbon monoxide does not correspond with reality.']
|
Assuming either passports are definitive proof of citizenship of a particular nationality or a wood horsetail is a horsetail, we know that if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form. It is a fact that either copyrights are legal rights or the statement that 'dictionaries can be in print or digital form' is incorrect. The claim that copyrights are legal rights has no merit. At least one of two things is true: either habituation characterizes auditory sensory memory or computers are often tempermental, or either weight loss can improve memory or either passports are definitive proof of citizenship of a particular nationality or a wood horsetail is a horsetail. Those that suggest either habituation characterizes auditory sensory memory or computers are often tempermental are wrong. Should it be the case that either trace fossils can also help to establish evolutionary trends or staves are part of barrels, it follows that if weight loss can improve memory, then if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form. Provided that quality time is defined as periods when everyone is awake and nobody is yelling, we know that if weight loss can improve memory, then if the claim that either iguanas are probably the most popular lizards people keep as pets or most red foxes weigh pounds has no merit, then dictionaries can be in print or digital form. Provided that the claim that either either trace fossils can also help to establish evolutionary trends or staves are part of barrels or quality time is defined as periods when everyone is awake and nobody is yelling does not correspond with reality, we know that cigarette smoke produces carbon monoxide. When the claim that either either trace fossils can also help to establish evolutionary trends or staves are part of barrels or quality time is defined as periods when everyone is awake and nobody is yelling does not correspond with reality is true, it follows that the claim that cigarette smoke produces carbon monoxide does not correspond with reality.
|
We know that at least one of two things is true: iguanas are probably the most popular lizards people keep as pets, or most red foxes weigh pounds.
|
We know that at least one of two things is true: iguanas are probably the most popular lizards people keep as pets, or most red foxes weigh pounds.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (If (Not (Either [0] or [1].).), then [2].). [SC2-2]
If (Either [5] or [6].), then (If (Not (Either [0] or [1].).), then [2].).
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [4] or (Either [5] or [6].).).
Not (Either [7] or [8].).
Therefore, Either [4] or (Either [5] or [6].)..
[SC2-2]
Disjunction Elimination:
Either (Either [9] or [10].) or [11]. [SC1-3]
If (Either [9] or [10].), then (If [4], then (If (Not (Either [0] or [1].).), then [2].).).
If [11], then (If [4], then (If (Not (Either [0] or [1].).), then [2].).).
Therefore, If [4], then (If (Not (Either [0] or [1].).), then [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [9] or [10].) or [11].).), then [12].
If (Not (Either (Either [9] or [10].) or [11].).), then (Not [12].).
Therefore, Either (Either [9] or [10].) or [11]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3].
Therefore, Not [2]..
|
{0: 'Iguanas are probably the most popular lizards people keep as pets.', 1: 'Most red foxes weigh pounds.', 2: 'Dictionaries can be in print or digital form.', 3: 'Copyrights are legal rights.', 4: 'Weight loss can improve memory.', 5: 'Passports are definitive proof of citizenship of a particular nationality.', 6: 'A wood horsetail is a horsetail.', 7: 'Habituation characterizes auditory sensory memory.', 8: 'Computers are often tempermental.', 9: 'Trace fossils can also help to establish evolutionary trends.', 10: 'Staves are part of barrels.', 11: 'Quality time is defined as periods when everyone is awake and nobody is yelling.', 12: 'Cigarette smoke produces carbon monoxide.'}
| 6 |
5,615 |
['If plants are very drought tolerant, then we know that the claim that glacial deposits are by far the most abundant surficial materials in Maine is false.', 'Should it be the case that those that suggest plants are very drought tolerant are wrong, it follows that the claim that if bulbs provide visible white light, then children are less likely to survive because their bodies are so vulnerable does not correspond with reality.', "So long as the statement 'either body weight rests on toes and palms of hands or if those that suggest plants are very drought tolerant are wrong, then if bulbs provide visible white light, then children are less likely to survive because their bodies are so vulnerable' can be considered false, 'animals are capable of eating' is true.", 'It is a common misconception that animals are capable of eating.', 'Many people rightly believe that some midges have legs.', 'It is a fact that either light is incident on the cathode or if some midges have legs, then the statement that states body weight rests on toes and palms of hands is false.', 'The statement, light is incident on the cathode, does not hold.']
|
If plants are very drought tolerant, then we know that the claim that glacial deposits are by far the most abundant surficial materials in Maine is false. Should it be the case that those that suggest plants are very drought tolerant are wrong, it follows that the claim that if bulbs provide visible white light, then children are less likely to survive because their bodies are so vulnerable does not correspond with reality. So long as the statement 'either body weight rests on toes and palms of hands or if those that suggest plants are very drought tolerant are wrong, then if bulbs provide visible white light, then children are less likely to survive because their bodies are so vulnerable' can be considered false, 'animals are capable of eating' is true. It is a common misconception that animals are capable of eating. Many people rightly believe that some midges have legs. It is a fact that either light is incident on the cathode or if some midges have legs, then the statement that states body weight rests on toes and palms of hands is false. The statement, light is incident on the cathode, does not hold.
|
We know that the claim that glacial deposits are by far the most abundant surficial materials in Maine is false.
|
We know that the claim that glacial deposits are by far the most abundant surficial materials in Maine is false.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (If [2], then [3].). [SC1-2]
If (Not [1].), then (Not (If [2], then [3].).).
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not [1].), then (If [2], then [3].).). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not [1].), then (If [2], then [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (If (Not [1].), then (If [2], then [3].).).).), then [6].
Not [6].
Therefore, Either [4] or (If (Not [1].), then (If [2], then [3].).)..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].). [SC1-4]
[5]
Therefore, Not [4]..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (If [5], then (Not [4].).).
Not [7].
Therefore, If [5], then (Not [4].)..
|
{0: 'Glacial deposits are by far the most abundant surficial materials in Maine.', 1: 'Plants are very drought tolerant.', 2: 'Bulbs provide visible white light.', 3: 'Children are less likely to survive because their bodies are so vulnerable.', 4: 'Body weight rests on toes and palms of hands.', 5: 'Some midges have legs.', 6: 'Animals are capable of eating.', 7: 'Light is incident on the cathode.'}
| 6 |
5,520 |
["So long as response cost is a punishment based upon a token economy system , 'empirical statements attempt to portray the world as it is' is true.", 'If the statement, if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then chongqing isa thing, does not hold, then if nutrient deficiencies show up as leaf or needle discoloration and abnormal growth patterns, then water falls from the sky as rain, sleet, hail, or snow.', "So long as some people mistakenly believe that if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then those that suggest chongqing isa thing are wrong, 'tendon rupture can occur during or after therapy with the drugs' is true.", 'One may reasonably assume that if the claim that if the statement, if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then chongqing isa thing, does not hold, then it is not the case that if nutrient deficiencies show up as leaf or needle discoloration and abnormal growth patterns, then water falls from the sky as rain, sleet, hail, or snow has no merit, then russian knapweed has rounded bracts with pointed papery tips.', 'The claim that russian knapweed has rounded bracts with pointed papery tips has no merit.', 'It is a fact that either landfill gas is used on a limited basis in many places to produce electricity or fuel for heating or we know that the claim that tendon rupture can occur during or after therapy with the drugs is false.', "The notion that 'landfill gas is used on a limited basis in many places to produce electricity or fuel for heating' is untrue."]
|
So long as response cost is a punishment based upon a token economy system , 'empirical statements attempt to portray the world as it is' is true. If the statement, if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then chongqing isa thing, does not hold, then if nutrient deficiencies show up as leaf or needle discoloration and abnormal growth patterns, then water falls from the sky as rain, sleet, hail, or snow. So long as some people mistakenly believe that if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then those that suggest chongqing isa thing are wrong, 'tendon rupture can occur during or after therapy with the drugs' is true. One may reasonably assume that if the claim that if the statement, if the claim that if empirical statements attempt to portray the world as it is, then tobacco smoke is still a problem, especially in homes does not reflect reality, then chongqing isa thing, does not hold, then it is not the case that if nutrient deficiencies show up as leaf or needle discoloration and abnormal growth patterns, then water falls from the sky as rain, sleet, hail, or snow has no merit, then russian knapweed has rounded bracts with pointed papery tips. The claim that russian knapweed has rounded bracts with pointed papery tips has no merit. It is a fact that either landfill gas is used on a limited basis in many places to produce electricity or fuel for heating or we know that the claim that tendon rupture can occur during or after therapy with the drugs is false. The notion that 'landfill gas is used on a limited basis in many places to produce electricity or fuel for heating' is untrue.
|
Provided that response cost is a punishment based upon a token economy system , we know that tobacco smoke is still a problem, especially in homes
|
Provided that response cost is a punishment based upon a token economy system , we know that tobacco smoke is still a problem, especially in homes
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3]. [SC1-2]
If (Not (If [2], then [1].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [1].).), then [3].).), then (If [5], then [6].).
If (Not (If (Not (If [2], then [1].).), then [3].).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, If (Not (If [2], then [1].).), then [3]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [1].).), then [3].).), then (Not (If [5], then [6].).).).), then [8].
Not [8].
Therefore, If (Not (If (Not (If [2], then [1].).), then [3].).), then (Not (If [5], then [6].).)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [2], then [1].).), then (Not [3].).).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not (If [2], then [1].).), then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [4].).
Not [7].
Therefore, Not [4]..
|
{0: 'Response cost is a punishment based upon a token economy system .', 1: 'Tobacco smoke is still a problem, especially in homes.', 2: 'Empirical statements attempt to portray the world as it is.', 3: 'Chongqing isa thing.', 4: 'Tendon rupture can occur during or after therapy with the drugs.', 5: 'Nutrient deficiencies show up as leaf or needle discoloration and abnormal growth patterns.', 6: 'Water falls from the sky as rain, sleet, hail, or snow.', 7: 'Landfill gas is used on a limited basis in many places to produce electricity or fuel for heating.', 8: 'Russian knapweed has rounded bracts with pointed papery tips.'}
| 6 |
5,249 |
['The claim that boiling water is quite dangerous since it is easily spilled onto the skin is true.', 'It is a common misconception that wildlife are reliable sentinels of effects of chemicals on human populations.', 'It is a fact that either physical addiction occurs when a chemical becomes essential for the body or metabolism to function or either water enters infiltration ditches or if the claim that if boiling water is quite dangerous since it is easily spilled onto the skin, then eukaryotic cells contain a nucleus does not reflect reality, then wildlife are reliable sentinels of effects of chemicals on human populations.', 'We know that either allergies also represent an overactive immune system, at least initially or either most people can think more clearly during the day or turtles have skin.', 'If allergies also represent an overactive immune system, at least initially, then we know that the claim that water enters infiltration ditches is false.', 'Provided that either most people can think more clearly during the day or turtles have skin, we know that we know that the claim that water enters infiltration ditches is false.', 'Should it be the case that physical addiction occurs when a chemical becomes essential for the body or metabolism to function, it follows that flaxseed contains high levels of phytoestrogens.', 'Provided that physical addiction occurs when a chemical becomes essential for the body or metabolism to function, we know that some people mistakenly believe that flaxseed contains high levels of phytoestrogens.']
|
The claim that boiling water is quite dangerous since it is easily spilled onto the skin is true. It is a common misconception that wildlife are reliable sentinels of effects of chemicals on human populations. It is a fact that either physical addiction occurs when a chemical becomes essential for the body or metabolism to function or either water enters infiltration ditches or if the claim that if boiling water is quite dangerous since it is easily spilled onto the skin, then eukaryotic cells contain a nucleus does not reflect reality, then wildlife are reliable sentinels of effects of chemicals on human populations. We know that either allergies also represent an overactive immune system, at least initially or either most people can think more clearly during the day or turtles have skin. If allergies also represent an overactive immune system, at least initially, then we know that the claim that water enters infiltration ditches is false. Provided that either most people can think more clearly during the day or turtles have skin, we know that we know that the claim that water enters infiltration ditches is false. Should it be the case that physical addiction occurs when a chemical becomes essential for the body or metabolism to function, it follows that flaxseed contains high levels of phytoestrogens. Provided that physical addiction occurs when a chemical becomes essential for the body or metabolism to function, we know that some people mistakenly believe that flaxseed contains high levels of phytoestrogens.
|
It is the case that eukaryotic cells contain a nucleus.
|
It is the case that eukaryotic cells contain a nucleus.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If (Not (If [1], then [0].).), then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (Either [3] or (If (Not (If [1], then [0].).), then [2].).).
Not [4]. [SC2-4]
Therefore, Either [3] or (If (Not (If [1], then [0].).), then [2].)..
[SC2-4]
Reductio Ad Absurdum:
If [4], then [8].
If [4], then (Not [8].).
Therefore, Not [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Not [3].).
If (Either [6] or [7].), then (Not [3].).
Therefore, Not [3]..
|
{0: 'Eukaryotic cells contain a nucleus.', 1: 'Boiling water is quite dangerous since it is easily spilled onto the skin.', 2: 'Wildlife are reliable sentinels of effects of chemicals on human populations.', 3: 'Water enters infiltration ditches.', 4: 'Physical addiction occurs when a chemical becomes essential for the body or metabolism to function.', 5: 'Allergies also represent an overactive immune system, at least initially.', 6: 'Most people can think more clearly during the day.', 7: 'Turtles have skin.', 8: 'Flaxseed contains high levels of phytoestrogens.'}
| 6 |
5,278 |
["So long as some elephants play roles, 'nuclear fusion means combines atomic nuclei to make a larger nucleus' is true.", 'Provided that if collards are similar in nutritive value but much more tolerant of warm weather, then disasters have effects, we know that some elephants play roles.', 'Assuming green plants have healthy life, we know that most women see breasts.', 'When if some cacti have ribs, then some black tails have orange feathers is true, it follows that either if collards are similar in nutritive value but much more tolerant of warm weather, then disasters have effects or green plants have healthy life.', "So long as some cacti have ribs, 'some black tails have orange feathers' is true.", 'Assuming most women see breasts, we know that clouds are bags of water.', 'Assuming clouds are bags of water, we know that most men raise daughters.', 'Provided that it is not true that if most men raise daughters, then nuclear fusion means combines atomic nuclei to make a larger nucleus, we know that many solid alkanes find use as paraffin wax, for example in candles.', 'On the condition that it is not true that if most men raise daughters, then nuclear fusion means combines atomic nuclei to make a larger nucleus, it is definitely the case that it is a common misconception that many solid alkanes find use as paraffin wax, for example in candles.']
|
So long as some elephants play roles, 'nuclear fusion means combines atomic nuclei to make a larger nucleus' is true. Provided that if collards are similar in nutritive value but much more tolerant of warm weather, then disasters have effects, we know that some elephants play roles. Assuming green plants have healthy life, we know that most women see breasts. When if some cacti have ribs, then some black tails have orange feathers is true, it follows that either if collards are similar in nutritive value but much more tolerant of warm weather, then disasters have effects or green plants have healthy life. So long as some cacti have ribs, 'some black tails have orange feathers' is true. Assuming most women see breasts, we know that clouds are bags of water. Assuming clouds are bags of water, we know that most men raise daughters. Provided that it is not true that if most men raise daughters, then nuclear fusion means combines atomic nuclei to make a larger nucleus, we know that many solid alkanes find use as paraffin wax, for example in candles. On the condition that it is not true that if most men raise daughters, then nuclear fusion means combines atomic nuclei to make a larger nucleus, it is definitely the case that it is a common misconception that many solid alkanes find use as paraffin wax, for example in candles.
|
It is reasonable to believe that nuclear fusion means combines atomic nuclei to make a larger nucleus.
|
Nuclear fusion occurs in hydrogen bombs.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then [1].
If [5], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If (If [9], then [10].), then (Either (If [3], then [4].) or [5].).
If [9], then [10].
Therefore, Either (If [3], then [4].) or [5]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [6]. [SC1-2]
If [6], then [0]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [8].
If [8], then [6].
Therefore, If [2], then [6]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [6], then [0].).), then [7].
If (Not (If [6], then [0].).), then (Not [7].).
Therefore, If [6], then [0]..
|
{0: 'Nuclear fusion means combines atomic nuclei to make a larger nucleus.', 1: 'Some elephants play roles.', 2: 'Most women see breasts.', 3: 'Collards are similar in nutritive value but much more tolerant of warm weather.', 4: 'Disasters have effects.', 5: 'Green plants have healthy life.', 6: 'Most men raise daughters.', 7: 'Many solid alkanes find use as paraffin wax, for example in candles.', 8: 'Clouds are bags of water.', 9: 'Some cacti have ribs.', 10: 'Some black tails have orange feathers.'}
| 6 |
5,424 |
["So long as the claim that many mosses assimilate much of their nutrients and water through their tiny leaves does not correspond with reality, 'if dustpan isa indefinite quantity, then many animals become non-ambulatory when they become weak and emaciated' is true.", 'It is rational to believe that either some carapaces are part of ladybirds or it is not the case that if dustpan isa indefinite quantity, then many animals become non-ambulatory when they become weak and emaciated.', 'Assuming some carapaces are part of ladybirds, we know that either batteries create energy through chemical reactions or guerezas have (part) pedal extremities.', 'Provided that language is part of culture, the system of knowledge that generates behavior, we know that if some carapaces are part of ladybirds, then it is a common misconception that either batteries create energy through chemical reactions or guerezas have (part) pedal extremities.', 'When it is not true that language is part of culture, the system of knowledge that generates behavior is true, it follows that less blood goes to the lungs, so the blood gets less oxygen.', 'One may reasonably assume that if it is not true that language is part of culture, the system of knowledge that generates behavior, then fragmentation results in lack.', 'Given that fragmentation results in lack, it can be inferred that the claim that less blood goes to the lungs, so the blood gets less oxygen has no merit.']
|
So long as the claim that many mosses assimilate much of their nutrients and water through their tiny leaves does not correspond with reality, 'if dustpan isa indefinite quantity, then many animals become non-ambulatory when they become weak and emaciated' is true. It is rational to believe that either some carapaces are part of ladybirds or it is not the case that if dustpan isa indefinite quantity, then many animals become non-ambulatory when they become weak and emaciated. Assuming some carapaces are part of ladybirds, we know that either batteries create energy through chemical reactions or guerezas have (part) pedal extremities. Provided that language is part of culture, the system of knowledge that generates behavior, we know that if some carapaces are part of ladybirds, then it is a common misconception that either batteries create energy through chemical reactions or guerezas have (part) pedal extremities. When it is not true that language is part of culture, the system of knowledge that generates behavior is true, it follows that less blood goes to the lungs, so the blood gets less oxygen. One may reasonably assume that if it is not true that language is part of culture, the system of knowledge that generates behavior, then fragmentation results in lack. Given that fragmentation results in lack, it can be inferred that the claim that less blood goes to the lungs, so the blood gets less oxygen has no merit.
|
many mosses assimilate much of their nutrients and water through their tiny leaves.
|
Some moss has growth patterns.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].).
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not (If [1], then [2].).).
Not [3]. [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then (Either [4] or [5].).
If [3], then (Not (Either [4] or [5].).). [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Ponens:
If [6], then (If [3], then (Not (Either [4] or [5].).).).
[6] [SC2-4]
Therefore, If [3], then (Not (Either [4] or [5].).)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].). [SC2-5]
Therefore, [6].
[SC2-5]
Hypothetical Syllogism:
If (Not [6].), then [8].
If [8], then (Not [7].).
Therefore, If (Not [6].), then (Not [7].)..
|
{0: 'Many mosses assimilate much of their nutrients and water through their tiny leaves.', 1: 'Dustpan isa indefinite quantity.', 2: 'Many animals become non-ambulatory when they become weak and emaciated.', 3: 'Some carapaces are part of ladybirds.', 4: 'Batteries create energy through chemical reactions.', 5: 'Guerezas have (part) pedal extremities.', 6: 'Language is part of culture, the system of knowledge that generates behavior.', 7: 'Less blood goes to the lungs, so the blood gets less oxygen.', 8: 'Fragmentation results in lack.'}
| 6 |
5,384 |
['When some organic materials come from soil erosion is true, it follows that the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false.', 'It is a fact that either most foxes are too small to pose much of a threat to a sheep, preferring smaller prey or hair is formed by epithelial cells of a papilla at the base of the follicle.', "Whenever it is true that most foxes are too small to pose much of a threat to a sheep, preferring smaller prey, 'all women are economically dependent on a male relative' is true.", 'Assuming hair is formed by epithelial cells of a papilla at the base of the follicle, we know that some organic materials come from soil erosion.', 'Once we know it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, we also know that it is not the case that lifestyle decisions are personal decisions.', 'Either tenure is legal rights or many museums maintain lending collections of books, audio-visual materials, and artifact kits.', 'Given that tenure is legal rights, it can be inferred that if it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, then lifestyle decisions are personal decisions.', 'Many people rightly believe that most gravity carries materials.', "Whenever it is true that most gravity carries materials, 'either pyralid moths are an interesting group with some species feeding on aquatic plants or hornets are more difficult to deal with than paper wasps' is true.", 'If either pyralid moths are an interesting group with some species feeding on aquatic plants or hornets are more difficult to deal with than paper wasps, then if many museums maintain lending collections of books, audio-visual materials, and artifact kits, then if it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, then lifestyle decisions are personal decisions.']
|
When some organic materials come from soil erosion is true, it follows that the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false. It is a fact that either most foxes are too small to pose much of a threat to a sheep, preferring smaller prey or hair is formed by epithelial cells of a papilla at the base of the follicle. Whenever it is true that most foxes are too small to pose much of a threat to a sheep, preferring smaller prey, 'all women are economically dependent on a male relative' is true. Assuming hair is formed by epithelial cells of a papilla at the base of the follicle, we know that some organic materials come from soil erosion. Once we know it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, we also know that it is not the case that lifestyle decisions are personal decisions. Either tenure is legal rights or many museums maintain lending collections of books, audio-visual materials, and artifact kits. Given that tenure is legal rights, it can be inferred that if it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, then lifestyle decisions are personal decisions. Many people rightly believe that most gravity carries materials. Whenever it is true that most gravity carries materials, 'either pyralid moths are an interesting group with some species feeding on aquatic plants or hornets are more difficult to deal with than paper wasps' is true. If either pyralid moths are an interesting group with some species feeding on aquatic plants or hornets are more difficult to deal with than paper wasps, then if many museums maintain lending collections of books, audio-visual materials, and artifact kits, then if it is a common misconception that if all women are economically dependent on a male relative, then the statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false, then lifestyle decisions are personal decisions.
|
The statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false.
|
The statement that states protein is broken down in the gut and absorbed into the blood stream as ammonia is false.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1].
If [4], then [2].
Therefore, Either [1] or [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [5]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [5].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then (Not [0].).).), then [5].).
If [7], then (If (Not (If [1], then (Not [0].).).), then [5].). [SC3-3]
Therefore, If (Not (If [1], then (Not [0].).).), then [5]..
[SC3-3]
Modus Ponens:
If [8], then (If [7], then (If (Not (If [1], then (Not [0].).).), then [5].).). [SC1-4]
[8]
Therefore, If [7], then (If (Not (If [1], then (Not [0].).).), then [5].)..
[SC1-4]
Hypothetical Syllogism:
If [8], then (Either [9] or [10].).
If (Either [9] or [10].), then (If [7], then (If (Not (If [1], then (Not [0].).).), then [5].).).
Therefore, If [8], then (If [7], then (If (Not (If [1], then (Not [0].).).), then [5].).)..
|
{0: 'Protein is broken down in the gut and absorbed into the blood stream as ammonia.', 1: 'All women are economically dependent on a male relative.', 2: 'Some organic materials come from soil erosion.', 3: 'Most foxes are too small to pose much of a threat to a sheep, preferring smaller prey.', 4: 'Hair is formed by epithelial cells of a papilla at the base of the follicle.', 5: 'Lifestyle decisions are personal decisions.', 6: 'Tenure is legal rights.', 7: 'Many museums maintain lending collections of books, audio-visual materials, and artifact kits.', 8: 'Most gravity carries materials.', 9: 'Pyralid moths are an interesting group with some species feeding on aquatic plants.', 10: 'Hornets are more difficult to deal with than paper wasps.'}
| 6 |
5,395 |
['Once we know energy depends on strength, we also know that visual loss can occur if there are embolic events in the distribution of the retinal arteries.', 'Either libertarians believe that free individuals remain free by limiting the powers of government or birds have accents.', 'Should it be the case that birds have accents, it follows that energy depends on strength.', 'We know that either fish inhabit temperate coastal water or if visual loss can occur if there are embolic events in the distribution of the retinal arteries, then carbamates are generally harsh on natural enemies of mite pests.', 'Those that suggest fish inhabit temperate coastal water are wrong.', 'We know that either asian women experience a significantly lower rate of fractures or some light is produced by fluorescent tubes.', 'Should it be the case that either predation mays have little effects or logic is really the core of philosophy, it follows that if either asian women experience a significantly lower rate of fractures or some light is produced by fluorescent tubes, then if libertarians believe that free individuals remain free by limiting the powers of government, then energy depends on strength.', 'Either predation mays have little effects or logic is really the core of philosophy.']
|
Once we know energy depends on strength, we also know that visual loss can occur if there are embolic events in the distribution of the retinal arteries. Either libertarians believe that free individuals remain free by limiting the powers of government or birds have accents. Should it be the case that birds have accents, it follows that energy depends on strength. We know that either fish inhabit temperate coastal water or if visual loss can occur if there are embolic events in the distribution of the retinal arteries, then carbamates are generally harsh on natural enemies of mite pests. Those that suggest fish inhabit temperate coastal water are wrong. We know that either asian women experience a significantly lower rate of fractures or some light is produced by fluorescent tubes. Should it be the case that either predation mays have little effects or logic is really the core of philosophy, it follows that if either asian women experience a significantly lower rate of fractures or some light is produced by fluorescent tubes, then if libertarians believe that free individuals remain free by limiting the powers of government, then energy depends on strength. Either predation mays have little effects or logic is really the core of philosophy.
|
The statement 'carbamates are generally harsh on natural enemies of mite pests' is true.
|
The statement 'carbamates are generally harsh on natural enemies of mite pests' is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [4].
If [4], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [4], then [0].).
Not [7].
Therefore, If [4], then [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [1].
Therefore, [1].
[SC2-2]
Modus Ponens:
If (Either [5] or [6].), then (If [2], then [1].). [SC1-3]
Either [5] or [6].
Therefore, If [2], then [1]..
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (If (Either [5] or [6].), then (If [2], then [1].).).
Either [8] or [9].
Therefore, If (Either [5] or [6].), then (If [2], then [1].)..
|
{0: 'Carbamates are generally harsh on natural enemies of mite pests.', 1: 'Energy depends on strength.', 2: 'Libertarians believe that free individuals remain free by limiting the powers of government.', 3: 'Birds have accents.', 4: 'Visual loss can occur if there are embolic events in the distribution of the retinal arteries.', 5: 'Asian women experience a significantly lower rate of fractures.', 6: 'Some light is produced by fluorescent tubes.', 7: 'Fish inhabit temperate coastal water.', 8: 'Predation mays have little effects.', 9: 'Logic is really the core of philosophy.'}
| 6 |
5,054 |
["Once we know the statement that 'either web is fabric or ice is frozen water, and water neither contains iron nor corrects an iron deficiency' is incorrect, we also know that if pathologists now use a different set of criteria to call a cell a cancerous cell, then lions are scavengers, too.", "When the statement that 'either web is fabric or ice is frozen water, and water neither contains iron nor corrects an iron deficiency' is incorrect is true, it follows that those that suggest if pathologists now use a different set of criteria to call a cell a cancerous cell, then lions are scavengers, too are wrong.", "So long as web is fabric, 'if most cucumbers contain nutrients, then wild guppies have little or no resemblance to their fancy captive-bred counterparts' is true.", "Whenever it is true that if most cucumbers contain nutrients, then wild guppies have little or no resemblance to their fancy captive-bred counterparts, 'either some drugs can help the body, but others can harm it or thief ants are omnivorous' is true.", "So long as it is a common misconception that if ice is frozen water, and water neither contains iron nor corrects an iron deficiency, then either some drugs can help the body, but others can harm it or thief ants are omnivorous, 'resources are the inputs used in producing a good or service' is true.", "Whenever it is true that the notion that 'if it is a common misconception that if ice is frozen water, and water neither contains iron nor corrects an iron deficiency, then either some drugs can help the body, but others can harm it or thief ants are omnivorous, then those that suggest resources are the inputs used in producing a good or service are wrong' is untrue, 'if some joints are immovable, such as the sutures between the bones of the cranium, then most germanium today is obtained from zinc ores' is true.", "So long as if some joints are immovable, such as the sutures between the bones of the cranium, then most germanium today is obtained from zinc ores, 'trees are plants' is true.", 'We know that the claim that trees are plants is false.']
|
Once we know the statement that 'either web is fabric or ice is frozen water, and water neither contains iron nor corrects an iron deficiency' is incorrect, we also know that if pathologists now use a different set of criteria to call a cell a cancerous cell, then lions are scavengers, too. When the statement that 'either web is fabric or ice is frozen water, and water neither contains iron nor corrects an iron deficiency' is incorrect is true, it follows that those that suggest if pathologists now use a different set of criteria to call a cell a cancerous cell, then lions are scavengers, too are wrong. So long as web is fabric, 'if most cucumbers contain nutrients, then wild guppies have little or no resemblance to their fancy captive-bred counterparts' is true. Whenever it is true that if most cucumbers contain nutrients, then wild guppies have little or no resemblance to their fancy captive-bred counterparts, 'either some drugs can help the body, but others can harm it or thief ants are omnivorous' is true. So long as it is a common misconception that if ice is frozen water, and water neither contains iron nor corrects an iron deficiency, then either some drugs can help the body, but others can harm it or thief ants are omnivorous, 'resources are the inputs used in producing a good or service' is true. Whenever it is true that the notion that 'if it is a common misconception that if ice is frozen water, and water neither contains iron nor corrects an iron deficiency, then either some drugs can help the body, but others can harm it or thief ants are omnivorous, then those that suggest resources are the inputs used in producing a good or service are wrong' is untrue, 'if some joints are immovable, such as the sutures between the bones of the cranium, then most germanium today is obtained from zinc ores' is true. So long as if some joints are immovable, such as the sutures between the bones of the cranium, then most germanium today is obtained from zinc ores, 'trees are plants' is true. We know that the claim that trees are plants is false.
|
We know that at least one of two things is true: some drugs can help the body, but others can harm it, or thief ants are omnivorous.
|
It is a fact that either drug can reactivate tuberculosis or lung fungal infection or some thief ants feed on proteins.
|
Uncertain
|
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]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (If [7], then [8].).
If (Not (Either [2] or [3].).), then (Not (If [7], then [8].).).
Therefore, Either [2] or [3]..
[SC2-1]
Hypothetical Syllogism:
If [2], then (If [5], then [6].).
If (If [5], then [6].), then (Either [0] or [1].).
Therefore, If [2], then (Either [0] or [1].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [0] or [1].).).), then [4].
If (Not (If [3], then (Either [0] or [1].).).), then (Not [4].). [SC2-2]
Therefore, If [3], then (Either [0] or [1].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [3], then (Either [0] or [1].).).), then (Not [4].).).), then (If [9], then [10].).
Not (If [9], then [10].). [SC2-3]
Therefore, If (Not (If [3], then (Either [0] or [1].).).), then (Not [4].)..
[SC2-3]
Modus Tonens:
If (If [9], then [10].), then [11].
Not [11].
Therefore, Not (If [9], then [10].)..
|
{0: 'Some drugs can help the body, but others can harm it.', 1: 'Thief ants are omnivorous.', 2: 'Web is fabric.', 3: 'Ice is frozen water, and water neither contains iron nor corrects an iron deficiency.', 4: 'Resources are the inputs used in producing a good or service.', 5: 'Most cucumbers contain nutrients.', 6: 'Wild guppies have little or no resemblance to their fancy captive-bred counterparts.', 7: 'Pathologists now use a different set of criteria to call a cell a cancerous cell.', 8: 'Lions are scavengers, too.', 9: 'Some joints are immovable, such as the sutures between the bones of the cranium.', 10: 'Most germanium today is obtained from zinc ores.', 11: 'Trees are plants.'}
| 6 |
5,034 |
["Whenever it is true that ice has a greater heat capacity than water, 'dogs go to water' is true.", 'We know that either excessive estrogen is a primary contributor to breast cancer or ice has a greater heat capacity than water.', 'The claim that excessive estrogen is a primary contributor to breast cancer is false.', 'We know that at least one of two things is true: barberries are shrubs, or boolean algebra is concerned with operations on general or class terms.', 'If barberries are shrubs, then if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then some salt glands produce urine.', 'Provided that boolean algebra is concerned with operations on general or class terms, we know that if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then some salt glands produce urine.', 'It is rational to believe that either if desks are used for writes, then nutrients support root growth or pressure is the measure of how much pushing force something is putting on another object .', "If if desks are used for writes, then nutrients support root growth, then if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then the notion that 'some salt glands produce urine' is untrue.", "Once we know pressure is the measure of how much pushing force something is putting on another object , we also know that if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then the notion that 'some salt glands produce urine' is untrue."]
|
Whenever it is true that ice has a greater heat capacity than water, 'dogs go to water' is true. We know that either excessive estrogen is a primary contributor to breast cancer or ice has a greater heat capacity than water. The claim that excessive estrogen is a primary contributor to breast cancer is false. We know that at least one of two things is true: barberries are shrubs, or boolean algebra is concerned with operations on general or class terms. If barberries are shrubs, then if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then some salt glands produce urine. Provided that boolean algebra is concerned with operations on general or class terms, we know that if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then some salt glands produce urine. It is rational to believe that either if desks are used for writes, then nutrients support root growth or pressure is the measure of how much pushing force something is putting on another object . If if desks are used for writes, then nutrients support root growth, then if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then the notion that 'some salt glands produce urine' is untrue. Once we know pressure is the measure of how much pushing force something is putting on another object , we also know that if we know that the claim that if dogs go to water, then individuals produce enzymes is false, then the notion that 'some salt glands produce urine' is untrue.
|
It is rational to agree that individuals produce enzymes.
|
It is rational to agree that individuals produce enzymes.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2].
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [4]. [SC1-3]
If (Not (If [2], then [0].).), then (Not [4].). [SC2-3]
Therefore, If [2], then [0]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If [2], then [0].).), then [4].).
If [9], then (If (Not (If [2], then [0].).), then [4].).
Therefore, If (Not (If [2], then [0].).), then [4]..
[SC2-3]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If (Not (If [2], then [0].).), then (Not [4].).).
If [7], then (If (Not (If [2], then [0].).), then (Not [4].).).
Therefore, If (Not (If [2], then [0].).), then (Not [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1].
Not [3].
Therefore, [1].
|
{0: 'Individuals produce enzymes.', 1: 'Ice has a greater heat capacity than water.', 2: 'Dogs go to water.', 3: 'Excessive estrogen is a primary contributor to breast cancer.', 4: 'Some salt glands produce urine.', 5: 'Desks are used for writes.', 6: 'Nutrients support root growth.', 7: 'Pressure is the measure of how much pushing force something is putting on another object .', 8: 'Barberries are shrubs.', 9: 'Boolean algebra is concerned with operations on general or class terms.'}
| 6 |
5,271 |
['Provided that it is not the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms, we know that therapists often work under the supervision of nurses.', 'Provided that it is not the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms, we know that the claim that therapists often work under the supervision of nurses does not correspond with reality.', 'There is good reason to believe that either healthy people have a large surplus of platelets or hair is hair.', "On the condition that hair is hair, it is definitely the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then the statement 'sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms' can be considered false.", 'barons are businessmans.', "Assuming the claim that if barons are businessmans, then if healthy people have a large surplus of platelets, then if flagellates tend to form colonies today so it makes sense that they did long ago, then the statement 'sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms' can be considered false is false, we know that diplomats are representatives from one nation who conduct relations with another.", 'We know that at least one of two things is true: if legs help coyotes, then some thoraxes look like narrow waists, or oxalis are perennials, most of which can go dry in the summer.', 'If if legs help coyotes, then some thoraxes look like narrow waists, then those that suggest diplomats are representatives from one nation who conduct relations with another are wrong.', 'If oxalis are perennials, most of which can go dry in the summer, then those that suggest diplomats are representatives from one nation who conduct relations with another are wrong.']
|
Provided that it is not the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms, we know that therapists often work under the supervision of nurses. Provided that it is not the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms, we know that the claim that therapists often work under the supervision of nurses does not correspond with reality. There is good reason to believe that either healthy people have a large surplus of platelets or hair is hair. On the condition that hair is hair, it is definitely the case that if flagellates tend to form colonies today so it makes sense that they did long ago, then the statement 'sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms' can be considered false. barons are businessmans. Assuming the claim that if barons are businessmans, then if healthy people have a large surplus of platelets, then if flagellates tend to form colonies today so it makes sense that they did long ago, then the statement 'sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms' can be considered false is false, we know that diplomats are representatives from one nation who conduct relations with another. We know that at least one of two things is true: if legs help coyotes, then some thoraxes look like narrow waists, or oxalis are perennials, most of which can go dry in the summer. If if legs help coyotes, then some thoraxes look like narrow waists, then those that suggest diplomats are representatives from one nation who conduct relations with another are wrong. If oxalis are perennials, most of which can go dry in the summer, then those that suggest diplomats are representatives from one nation who conduct relations with another are wrong.
|
The statement 'flagellates tend to form colonies today so it makes sense that they did long ago' can be considered false.
|
The claim that flagellates possess one advantage over their amoeboid relatives in that they can swim is false.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [4].
If (Not (If [0], then [1].).), then (Not [4].).
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then (Not [1].).). [SC2-2]
If [3], then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (If [0], then (Not [1].).).). [SC1-3]
[5]
Therefore, If [2], then (If [0], then (Not [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (If [2], then (If [0], then (Not [1].).).).).), then [6].
Not [6]. [SC2-4]
Therefore, If [5], then (If [2], then (If [0], then (Not [1].).).)..
[SC2-4]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (Not [6].).
If [9], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Flagellates tend to form colonies today so it makes sense that they did long ago.', 1: 'Sea lilies have a central body, or calyx, surrounded by feathery, usually heavily branched arms.', 2: 'Healthy people have a large surplus of platelets.', 3: 'Hair is hair.', 4: 'Therapists often work under the supervision of nurses.', 5: 'Barons are businessmans.', 6: 'Diplomats are representatives from one nation who conduct relations with another.', 7: 'Legs help coyotes.', 8: 'Some thoraxes look like narrow waists.', 9: 'Oxalis are perennials, most of which can go dry in the summer.'}
| 6 |
5,030 |
["Once we know the statement that 'either fortune is treasure or some people mistakenly believe that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres' is incorrect, we also know that either most herons nest in colonies or cannabis is used for a wide variety of purposes.", "Provided that the statement that 'either fortune is treasure or some people mistakenly believe that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres' is incorrect, we know that the statement 'either most herons nest in colonies or cannabis is used for a wide variety of purposes' can be considered false.", "Either brazilian language is Portuguese or the notion that 'fortune is treasure' is untrue.", 'Once we know the claim that either summer is the time for growth, cultivation, and some harvesting or the claim that brazilian language is Portuguese is false is false, we also know that different caterpillars eat different plants.', 'Assuming the claim that either summer is the time for growth, cultivation, and some harvesting or the claim that brazilian language is Portuguese is false is false, we know that the claim that different caterpillars eat different plants does not correspond with reality.', 'On the condition that summer is the time for growth, cultivation, and some harvesting, it is definitely the case that if chocolate contains a substance called theobromine, which is toxic, then capital controls are the main identifiable barrier to mobility.', 'One may reasonably assume that if summer is the time for growth, cultivation, and some harvesting, then it is not the case that if chocolate contains a substance called theobromine, which is toxic, then capital controls are the main identifiable barrier to mobility.']
|
Once we know the statement that 'either fortune is treasure or some people mistakenly believe that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres' is incorrect, we also know that either most herons nest in colonies or cannabis is used for a wide variety of purposes. Provided that the statement that 'either fortune is treasure or some people mistakenly believe that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres' is incorrect, we know that the statement 'either most herons nest in colonies or cannabis is used for a wide variety of purposes' can be considered false. Either brazilian language is Portuguese or the notion that 'fortune is treasure' is untrue. Once we know the claim that either summer is the time for growth, cultivation, and some harvesting or the claim that brazilian language is Portuguese is false is false, we also know that different caterpillars eat different plants. Assuming the claim that either summer is the time for growth, cultivation, and some harvesting or the claim that brazilian language is Portuguese is false is false, we know that the claim that different caterpillars eat different plants does not correspond with reality. On the condition that summer is the time for growth, cultivation, and some harvesting, it is definitely the case that if chocolate contains a substance called theobromine, which is toxic, then capital controls are the main identifiable barrier to mobility. One may reasonably assume that if summer is the time for growth, cultivation, and some harvesting, then it is not the case that if chocolate contains a substance called theobromine, which is toxic, then capital controls are the main identifiable barrier to mobility.
|
Some people mistakenly believe that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres.
|
One may reasonably assume that if many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant, then most trees help atmospheres.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).). [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Either [3] or [4].).
If (Not (Either [2] or (Not (If [0], then [1].).).).), then (Not (Either [3] or [4].).).
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [5].). [SC1-3]
Not [6]. [SC2-3]
Therefore, Not [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (Not [5].).).), then [9].
If (Not (Either [6] or (Not [5].).).), then (Not [9].).
Therefore, Either [6] or (Not [5].)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then (If [7], then [8].).
If [6], then (Not (If [7], then [8].).).
Therefore, Not [6]..
|
{0: 'Many gardeners realize it is safer to ship plants in cool weather when they are mostly dormant.', 1: 'Most trees help atmospheres.', 2: 'Fortune is treasure.', 3: 'Most herons nest in colonies.', 4: 'Cannabis is used for a wide variety of purposes.', 5: 'Brazilian language is Portuguese.', 6: 'Summer is the time for growth, cultivation, and some harvesting.', 7: 'Chocolate contains a substance called theobromine, which is toxic.', 8: 'Capital controls are the main identifiable barrier to mobility.', 9: 'Different caterpillars eat different plants.'}
| 6 |
5,403 |
['Once we know candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human, we also know that if flashlights are lamps, then flammable gases create the potential for fire or explosion.', 'Provided that it is not the case that flashlights are lamps, we know that men seek advice.', "Provided that the notion that 'either candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human or either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei' is untrue, we know that many coastal resources depend on ocean currents for their ecological balance.", "Should it be the case that the notion that 'either candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human or either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei' is untrue, it follows that the statement, many coastal resources depend on ocean currents for their ecological balance, does not hold.", 'Assuming protein builds muscles, we know that if either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei, then if flashlights are lamps, then flammable gases create the potential for fire or explosion.', 'The statement that states protein builds muscles is right.', 'One may reasonably assume that if naturalists find that the populations of some kinds of predatory animals vary periodically, then the claim that men seek advice does not correspond with reality.', 'It is a simple truth that naturalists find that the populations of some kinds of predatory animals vary periodically.']
|
Once we know candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human, we also know that if flashlights are lamps, then flammable gases create the potential for fire or explosion. Provided that it is not the case that flashlights are lamps, we know that men seek advice. Provided that the notion that 'either candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human or either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei' is untrue, we know that many coastal resources depend on ocean currents for their ecological balance. Should it be the case that the notion that 'either candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human or either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei' is untrue, it follows that the statement, many coastal resources depend on ocean currents for their ecological balance, does not hold. Assuming protein builds muscles, we know that if either japanese fishermen fly kites to check winds before they set out to sea or some cells have very irregularly-shaped nuclei, then if flashlights are lamps, then flammable gases create the potential for fire or explosion. The statement that states protein builds muscles is right. One may reasonably assume that if naturalists find that the populations of some kinds of predatory animals vary periodically, then the claim that men seek advice does not correspond with reality. It is a simple truth that naturalists find that the populations of some kinds of predatory animals vary periodically.
|
It is a simple truth that flammable gases create the potential for fire or explosion.
|
Some flammable gases use for light.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-2]
If [3], then (If [1], then [0].).
If (Either [4] or [5].), then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Either [4] or [5].).).), then [8].
If (Not (Either [3] or (Either [4] or [5].).).), then (Not [8].).
Therefore, Either [3] or (Either [4] or [5].)..
[SC3-2]
Modus Ponens:
If [6], then (If (Either [4] or [5].), then (If [1], then [0].).).
[6]
Therefore, If (Either [4] or [5].), then (If [1], then [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If [7], then (Not [2].).
[7]
Therefore, Not [2]..
|
{0: 'Flammable gases create the potential for fire or explosion.', 1: 'Flashlights are lamps.', 2: 'Men seek advice.', 3: 'Candidas are part of the normal flora of gastrointestinal tract, vagina and oral cavity of human.', 4: 'Japanese fishermen fly kites to check winds before they set out to sea.', 5: 'Some cells have very irregularly-shaped nuclei.', 6: 'Protein builds muscles.', 7: 'Naturalists find that the populations of some kinds of predatory animals vary periodically.', 8: 'Many coastal resources depend on ocean currents for their ecological balance.'}
| 6 |
5,757 |
['The claim that most organisms have life stages does not reflect reality.', "We know that either most fowl feeds on worms or if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then some people mistakenly believe that either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall.", "When it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages is true, it follows that the statement that 'shrubs also provide places for sunning as well as shade and resting places' is incorrect.", "Whenever it is true that most fowl feeds on worms, 'angels are real and present in our world' is true.", 'One may reasonably assume that if most fowl feeds on worms, then the claim that angels are real and present in our world does not reflect reality.', "Assuming it is not true that if it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages, then shrubs also provide places for sunning as well as shade and resting places, we know that blue light provides energy for photosynthesis.", "When it is not true that if it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages, then shrubs also provide places for sunning as well as shade and resting places is true, it follows that the claim that blue light provides energy for photosynthesis does not correspond with reality."]
|
The claim that most organisms have life stages does not reflect reality. We know that either most fowl feeds on worms or if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then some people mistakenly believe that either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall. When it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages is true, it follows that the statement that 'shrubs also provide places for sunning as well as shade and resting places' is incorrect. Whenever it is true that most fowl feeds on worms, 'angels are real and present in our world' is true. One may reasonably assume that if most fowl feeds on worms, then the claim that angels are real and present in our world does not reflect reality. Assuming it is not true that if it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages, then shrubs also provide places for sunning as well as shade and resting places, we know that blue light provides energy for photosynthesis. When it is not true that if it is not the case that if those that suggest if the statement 'either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls' can be considered false, then either earwigs eat materials or scientists use the distinct sounds made underwater by different size raindrops to measure rainfall are wrong, then most organisms have life stages, then shrubs also provide places for sunning as well as shade and resting places is true, it follows that the claim that blue light provides energy for photosynthesis does not correspond with reality.
|
At least one of two things is true: scientists sense mystery in the vast tracts of genes and DNA that have unknown functions, or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls.
|
It is not the case that either scientists sense mystery in the vast tracts of genes and DNA that have unknown functions or some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then (Either [2] or [3].). [SC1-1]
If (Not (Either [0] or [1].).), then (Not (Either [2] or [3].).). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5]. [SC1-2]
Not [5].
Therefore, If (Not (Either [0] or [1].).), then (Either [2] or [3].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5].).), then [6]. [SC1-3]
If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5].).), then (Not [6].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5].).), then [6].).), then [8].
If (Not (If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5].).), then [6].).), then (Not [8].).
Therefore, If (Not (If (Not (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).), then [5].).), then [6]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If (Not (Either [0] or [1].).), then (Not (Either [2] or [3].).).).
Not [4]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not (Either [2] or [3].).)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [7].
If [4], then (Not [7].).
Therefore, Not [4]..
|
{0: 'Scientists sense mystery in the vast tracts of genes and DNA that have unknown functions.', 1: 'Some species are leaf rollers, web formers, leaf skeletonizers, leaf miners or cause plant galls.', 2: 'Earwigs eat materials.', 3: 'Scientists use the distinct sounds made underwater by different size raindrops to measure rainfall.', 4: 'Most fowl feeds on worms.', 5: 'Most organisms have life stages.', 6: 'Shrubs also provide places for sunning as well as shade and resting places.', 7: 'Angels are real and present in our world.', 8: 'Blue light provides energy for photosynthesis.'}
| 6 |
5,975 |
['Given that some people suffer from nasal allergies all year long, while others only have it seasonally, it can be inferred that nightingales are thrushs.', 'Provided that venture capital is a relationship business, we know that either german physicians practice medicine or some people suffer from nasal allergies all year long, while others only have it seasonally.', "Whenever it is true that german physicians practice medicine, 'hackers can use stolen passwords to harass or threaten someone using someone else's name' is true.", "Provided that german physicians practice medicine, we know that the statement that 'hackers can use stolen passwords to harass or threaten someone using someone else's name' is incorrect.", 'At least one of two things is true: some minerals form a metal bead after being flamed, others give off fumes, and a few volatilize, or venture capital is a relationship business.', "Either reproductive autonomy is a fundamental right or the statement 'some minerals form a metal bead after being flamed, others give off fumes, and a few volatilize' can be considered false.", 'The claim that reproductive autonomy is a fundamental right does not reflect reality.']
|
Given that some people suffer from nasal allergies all year long, while others only have it seasonally, it can be inferred that nightingales are thrushs. Provided that venture capital is a relationship business, we know that either german physicians practice medicine or some people suffer from nasal allergies all year long, while others only have it seasonally. Whenever it is true that german physicians practice medicine, 'hackers can use stolen passwords to harass or threaten someone using someone else's name' is true. Provided that german physicians practice medicine, we know that the statement that 'hackers can use stolen passwords to harass or threaten someone using someone else's name' is incorrect. At least one of two things is true: some minerals form a metal bead after being flamed, others give off fumes, and a few volatilize, or venture capital is a relationship business. Either reproductive autonomy is a fundamental right or the statement 'some minerals form a metal bead after being flamed, others give off fumes, and a few volatilize' can be considered false. The claim that reproductive autonomy is a fundamental right does not reflect reality.
|
It is fair to say that nightingales are thrushs.
|
We know that the claim that nightingales are thrushs is false.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [3], then (Either [2] or [1].).
[3] [SC2-3]
Therefore, Either [2] or [1]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or [3].
Not [5]. [SC2-4]
Therefore, [3].
[SC2-4]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].).
Therefore, Not [2]..
|
{0: 'Nightingales are thrushs.', 1: 'Some people suffer from nasal allergies all year long, while others only have it seasonally.', 2: 'German physicians practice medicine.', 3: 'Venture capital is a relationship business.', 4: "Hackers can use stolen passwords to harass or threaten someone using someone else's name.", 5: 'Some minerals form a metal bead after being flamed, others give off fumes, and a few volatilize.', 6: 'Reproductive autonomy is a fundamental right.'}
| 6 |
5,990 |
['On the condition that the claim that most diseases affect internal organs has no merit, it is definitely the case that people have plants.', 'Should it be the case that aloe gels are added to some health foods, it follows that mammoths are located in glacial ice.', 'Assuming we know that the claim that if if aloe gels are added to some health foods, then mammoths are located in glacial ice, then young children are at greatest risk of abuse and neglect is false, we know that subject directories are web databases that use humans to index new web pages rather than robots.', "Provided that we know that the claim that if if aloe gels are added to some health foods, then mammoths are located in glacial ice, then young children are at greatest risk of abuse and neglect is false, we know that the statement 'subject directories are web databases that use humans to index new web pages rather than robots' can be considered false.", 'On the condition that young children are at greatest risk of abuse and neglect, it is definitely the case that ozone is classified as a toxic gas if inhaled in large quantities.', 'On the condition that ozone is classified as a toxic gas if inhaled in large quantities, it is definitely the case that red scale is a reddish tint on the silver that occurs from heating.', 'Provided that red scale is a reddish tint on the silver that occurs from heating, we know that if the claim that most diseases affect internal organs has no merit, then the statement that states people have plants is false.']
|
On the condition that the claim that most diseases affect internal organs has no merit, it is definitely the case that people have plants. Should it be the case that aloe gels are added to some health foods, it follows that mammoths are located in glacial ice. Assuming we know that the claim that if if aloe gels are added to some health foods, then mammoths are located in glacial ice, then young children are at greatest risk of abuse and neglect is false, we know that subject directories are web databases that use humans to index new web pages rather than robots. Provided that we know that the claim that if if aloe gels are added to some health foods, then mammoths are located in glacial ice, then young children are at greatest risk of abuse and neglect is false, we know that the statement 'subject directories are web databases that use humans to index new web pages rather than robots' can be considered false. On the condition that young children are at greatest risk of abuse and neglect, it is definitely the case that ozone is classified as a toxic gas if inhaled in large quantities. On the condition that ozone is classified as a toxic gas if inhaled in large quantities, it is definitely the case that red scale is a reddish tint on the silver that occurs from heating. Provided that red scale is a reddish tint on the silver that occurs from heating, we know that if the claim that most diseases affect internal organs has no merit, then the statement that states people have plants is false.
|
The statement that states most diseases affect internal organs is right.
|
The statement that states most diseases affect internal organs is right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (If (Not [0].), then (Not [1].).). [SC1-2]
If [2], then [3].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (If [2], then [3].), then [4]. [SC1-3]
If [4], then (If (Not [0].), then (Not [1].).). [SC2-3]
Therefore, If (If [2], then [3].), then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then [4].).), then [5].
If (Not (If (If [2], then [3].), then [4].).), then (Not [5].).
Therefore, If (If [2], then [3].), then [4]..
[SC2-3]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (If (Not [0].), then (Not [1].).). [SC2-4]
Therefore, If [4], then (If (Not [0].), then (Not [1].).)..
[SC2-4]
Hypothetical Syllogism:
If [6], then [7].
If [7], then (If (Not [0].), then (Not [1].).).
Therefore, If [6], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Most diseases affect internal organs.', 1: 'People have plants.', 2: 'Aloe gels are added to some health foods.', 3: 'Mammoths are located in glacial ice.', 4: 'Young children are at greatest risk of abuse and neglect.', 5: 'Subject directories are web databases that use humans to index new web pages rather than robots.', 6: 'Ozone is classified as a toxic gas if inhaled in large quantities.', 7: 'Red scale is a reddish tint on the silver that occurs from heating.'}
| 6 |
5,457 |
['Once we know the claim that sharks are carnivorous and eat fish, including other sharks does not correspond with reality, we also know that the statement that states creatine is a naturally occurring compound produced in our bodies is false.', 'It is not true that external communication suffers because of the time spent on internal communication.', "Once we know the notion that 'some nebulae are regions of glowing gases and dust which have been puffed off by dying stars' is untrue, we also know that most cellular machinery performs bodily functions.", "The statement that 'most cellular machinery performs bodily functions' is incorrect.", 'Assuming either crabs depend on environments or goats make good pets and show animals for smaller children, we know that either external communication suffers because of the time spent on internal communication or if some nebulae are regions of glowing gases and dust which have been puffed off by dying stars, then if the claim that sharks are carnivorous and eat fish, including other sharks does not correspond with reality, then creatine is a naturally occurring compound produced in our bodies.', "Provided that the statement 'either crabs depend on environments or goats make good pets and show animals for smaller children' can be considered false, we know that rabbit ears serve functions.", 'It is a common misconception that rabbit ears serve functions.']
|
Once we know the claim that sharks are carnivorous and eat fish, including other sharks does not correspond with reality, we also know that the statement that states creatine is a naturally occurring compound produced in our bodies is false. It is not true that external communication suffers because of the time spent on internal communication. Once we know the notion that 'some nebulae are regions of glowing gases and dust which have been puffed off by dying stars' is untrue, we also know that most cellular machinery performs bodily functions. The statement that 'most cellular machinery performs bodily functions' is incorrect. Assuming either crabs depend on environments or goats make good pets and show animals for smaller children, we know that either external communication suffers because of the time spent on internal communication or if some nebulae are regions of glowing gases and dust which have been puffed off by dying stars, then if the claim that sharks are carnivorous and eat fish, including other sharks does not correspond with reality, then creatine is a naturally occurring compound produced in our bodies. Provided that the statement 'either crabs depend on environments or goats make good pets and show animals for smaller children' can be considered false, we know that rabbit ears serve functions. It is a common misconception that rabbit ears serve functions.
|
The statement 'sharks are carnivorous and eat fish, including other sharks' can be considered true.
|
Sharks have the greatest sensitivity of any known marine animal to electric fields.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (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]
Disjunctive Syllogism:
Either [4] or (If [2], then (If (Not [0].), then [1].).). [SC1-3]
Not [4].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If (Either [5] or [6].), then (Either [4] or (If [2], then (If (Not [0].), then [1].).).).
Either [5] or [6]. [SC2-4]
Therefore, Either [4] or (If [2], then (If (Not [0].), then [1].).)..
[SC2-4]
Modus Tonens:
If (Not (Either [5] or [6].).), then [7].
Not [7].
Therefore, Either [5] or [6]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3].
Not [3].
Therefore, [2].
|
{0: 'Sharks are carnivorous and eat fish, including other sharks.', 1: 'Creatine is a naturally occurring compound produced in our bodies.', 2: 'Some nebulae are regions of glowing gases and dust which have been puffed off by dying stars.', 3: 'Most cellular machinery performs bodily functions.', 4: 'External communication suffers because of the time spent on internal communication.', 5: 'Crabs depend on environments.', 6: 'Goats make good pets and show animals for smaller children.', 7: 'Rabbit ears serve functions.'}
| 6 |
5,362 |
['We know that at least one of two things is true: routines are natural sedatives in a manner of speaking, or creatures have air.', 'Given that creatures have air, it can be inferred that radio drama is a genre.', 'Once we know either truth is perceived by individual effort alone or kidneys increase net acid excretion, we also know that radio drama is a genre.', 'It is a common misconception that further folding describes mind and conscious through degrees of increasingly pristine light.', 'If some states allow one to purchase needles without a prescription, then the statement that states some combustion produces products is false.', 'It is rational to agree that some states allow one to purchase needles without a prescription.', "Whenever it is true that the statement 'if it is not the case that either some combustion produces products or if routines are natural sedatives in a manner of speaking, then either truth is perceived by individual effort alone or kidneys increase net acid excretion, then further folding describes mind and conscious through degrees of increasingly pristine light' can be considered false, 'either toggles are fasteners or paper is located in folders' is true.", "On the condition that the statement 'if it is not the case that either some combustion produces products or if routines are natural sedatives in a manner of speaking, then either truth is perceived by individual effort alone or kidneys increase net acid excretion, then further folding describes mind and conscious through degrees of increasingly pristine light' can be considered false, it is definitely the case that those that suggest either toggles are fasteners or paper is located in folders are wrong."]
|
We know that at least one of two things is true: routines are natural sedatives in a manner of speaking, or creatures have air. Given that creatures have air, it can be inferred that radio drama is a genre. Once we know either truth is perceived by individual effort alone or kidneys increase net acid excretion, we also know that radio drama is a genre. It is a common misconception that further folding describes mind and conscious through degrees of increasingly pristine light. If some states allow one to purchase needles without a prescription, then the statement that states some combustion produces products is false. It is rational to agree that some states allow one to purchase needles without a prescription. Whenever it is true that the statement 'if it is not the case that either some combustion produces products or if routines are natural sedatives in a manner of speaking, then either truth is perceived by individual effort alone or kidneys increase net acid excretion, then further folding describes mind and conscious through degrees of increasingly pristine light' can be considered false, 'either toggles are fasteners or paper is located in folders' is true. On the condition that the statement 'if it is not the case that either some combustion produces products or if routines are natural sedatives in a manner of speaking, then either truth is perceived by individual effort alone or kidneys increase net acid excretion, then further folding describes mind and conscious through degrees of increasingly pristine light' can be considered false, it is definitely the case that those that suggest either toggles are fasteners or paper is located in folders are wrong.
|
It is the case that radio drama is a genre.
|
It is the case that radio drama is a genre.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then [0].
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Either [3] or [4].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [1], then (Either [3] or [4].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6]. [SC1-4]
Not [6].
Therefore, Either [5] or (If [1], then (Either [3] or [4].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6].).), then (Either [8] or [9].).
If (Not (If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6].).), then (Not (Either [8] or [9].).).
Therefore, If (Not (Either [5] or (If [1], then (Either [3] or [4].).).).), then [6]..
[SC2-3]
Modus Ponens:
If [7], then (Not [5].).
[7]
Therefore, Not [5]..
|
{0: 'Radio drama is a genre.', 1: 'Routines are natural sedatives in a manner of speaking.', 2: 'Creatures have air.', 3: 'Truth is perceived by individual effort alone.', 4: 'Kidneys increase net acid excretion.', 5: 'Some combustion produces products.', 6: 'Further folding describes mind and conscious through degrees of increasingly pristine light.', 7: 'Some states allow one to purchase needles without a prescription.', 8: 'Toggles are fasteners.', 9: 'Paper is located in folders.'}
| 6 |
5,860 |
['We know that either scientists generally agree that lizards are the evolutionary forefathers of snakes or carriers have (part) arms.', 'It is rational to believe that either weasels reach maturity or adolescence is a period of considerable stress.', 'On the condition that weasels reach maturity, it is definitely the case that if scientists generally agree that lizards are the evolutionary forefathers of snakes, then hawks appear in skies.', 'Assuming adolescence is a period of considerable stress, we know that if scientists generally agree that lizards are the evolutionary forefathers of snakes, then hawks appear in skies.', 'Either one or both of these statements are true: most leopard frogs have spots, or those that suggest hawks appear in skies are wrong.', "Whenever it is true that curatorial assistants help research, handle and store artefacts, 'it is a common misconception that most leopard frogs have spots' is true.", "So long as widgets are domino-sized blocks of acrylic, 'it is a common misconception that most leopard frogs have spots' is true.", 'We know that at least one of two things is true: leopards have (part) sections, or some sediments absorb heat.', 'Given that leopards have (part) sections, it can be inferred that either curatorial assistants help research, handle and store artefacts or widgets are domino-sized blocks of acrylic.', 'Should it be the case that some sediments absorb heat, it follows that either curatorial assistants help research, handle and store artefacts or widgets are domino-sized blocks of acrylic.']
|
We know that either scientists generally agree that lizards are the evolutionary forefathers of snakes or carriers have (part) arms. It is rational to believe that either weasels reach maturity or adolescence is a period of considerable stress. On the condition that weasels reach maturity, it is definitely the case that if scientists generally agree that lizards are the evolutionary forefathers of snakes, then hawks appear in skies. Assuming adolescence is a period of considerable stress, we know that if scientists generally agree that lizards are the evolutionary forefathers of snakes, then hawks appear in skies. Either one or both of these statements are true: most leopard frogs have spots, or those that suggest hawks appear in skies are wrong. Whenever it is true that curatorial assistants help research, handle and store artefacts, 'it is a common misconception that most leopard frogs have spots' is true. So long as widgets are domino-sized blocks of acrylic, 'it is a common misconception that most leopard frogs have spots' is true. We know that at least one of two things is true: leopards have (part) sections, or some sediments absorb heat. Given that leopards have (part) sections, it can be inferred that either curatorial assistants help research, handle and store artefacts or widgets are domino-sized blocks of acrylic. Should it be the case that some sediments absorb heat, it follows that either curatorial assistants help research, handle and store artefacts or widgets are domino-sized blocks of acrylic.
|
It is the case that carriers have (part) arms.
|
Some carriers transmit diseases.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [2].).
If [5], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [6] or [7].).
If [9], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
|
{0: 'Carriers have (part) arms.', 1: 'Scientists generally agree that lizards are the evolutionary forefathers of snakes.', 2: 'Hawks appear in skies.', 3: 'Most leopard frogs have spots.', 4: 'Weasels reach maturity.', 5: 'Adolescence is a period of considerable stress.', 6: 'Curatorial assistants help research, handle and store artefacts.', 7: 'Widgets are domino-sized blocks of acrylic.', 8: 'Leopards have (part) sections.', 9: 'Some sediments absorb heat.'}
| 6 |
5,483 |
["Whenever it is true that it is not true that if goats select habitats, then dwellers come in all shapes and sizes, 'children develop conditions' is true.", 'Given that children develop conditions, it can be inferred that those that suggest most mammals are located in continents are wrong.', 'Many people rightly believe that complexity means time and time is money.', 'Assuming cuttlefish isa mollusk, we know that if most elephants have structures, then most mammals are located in continents.', 'Those that suggest cuttlefish isa mollusk are right.', "So long as fibres are drawn together and twisted to get thread, 'if complexity means time and time is money, then if children develop conditions, then most elephants have structures' is true.", 'Many people rightly believe that fibres are drawn together and twisted to get thread.']
|
Whenever it is true that it is not true that if goats select habitats, then dwellers come in all shapes and sizes, 'children develop conditions' is true. Given that children develop conditions, it can be inferred that those that suggest most mammals are located in continents are wrong. Many people rightly believe that complexity means time and time is money. Assuming cuttlefish isa mollusk, we know that if most elephants have structures, then most mammals are located in continents. Those that suggest cuttlefish isa mollusk are right. So long as fibres are drawn together and twisted to get thread, 'if complexity means time and time is money, then if children develop conditions, then most elephants have structures' is true. Many people rightly believe that fibres are drawn together and twisted to get thread.
|
On the condition that goats select habitats, it is definitely the case that dwellers come in all shapes and sizes.
|
The statement that states if goats select habitats, then dwellers come in all shapes and sizes is false.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-2]
If [2], then (Not [3].).
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [4]. [SC1-3]
If [4], then [3]. [SC2-3]
Therefore, If [2], then [3]..
[SC1-3]
Modus Ponens:
If [6], then (If [2], then [4].). [SC1-4]
[6]
Therefore, If [2], then [4]..
[SC1-4]
Modus Ponens:
If [7], then (If [6], then (If [2], then [4].).).
[7]
Therefore, If [6], then (If [2], then [4].)..
[SC2-3]
Modus Ponens:
If [5], then (If [4], then [3].).
[5]
Therefore, If [4], then [3]..
|
{0: 'Goats select habitats.', 1: 'Dwellers come in all shapes and sizes.', 2: 'Children develop conditions.', 3: 'Most mammals are located in continents.', 4: 'Most elephants have structures.', 5: 'Cuttlefish isa mollusk.', 6: 'Complexity means time and time is money.', 7: 'Fibres are drawn together and twisted to get thread.'}
| 6 |
5,580 |
['Given that the claim that either some minerals contain more complex compounds or fossil fuels are the key to the high-productivity agriculture upon which American consumers rely does not reflect reality, it can be inferred that most dormouses have tails.', "So long as the claim that either some minerals contain more complex compounds or fossil fuels are the key to the high-productivity agriculture upon which American consumers rely does not reflect reality, 'some teeth grow throughout time' is true.", 'The claim that small intestine is made up of three regions namely duodenum, jejunum and ileum does not correspond with reality.', "So long as if some hoofs are part of babirusas, then manure is a favorite place for flies to lay their eggs, 'if those that suggest if some teeth grow throughout time, then the statement 'most dormouses have tails' can be considered false are wrong, then small intestine is made up of three regions namely duodenum, jejunum and ileum' is true.", 'Provided that autogenic training consists of imagining a peaceful environment and comforting bodily sensations, we know that if some hoofs are part of babirusas, then manure is a favorite place for flies to lay their eggs.', 'On the condition that the claim that autogenic training consists of imagining a peaceful environment and comforting bodily sensations is false, it is definitely the case that radar is also one of the few means to investigate cometary nuclei directly.', 'Assuming the claim that autogenic training consists of imagining a peaceful environment and comforting bodily sensations is false, we know that the claim that radar is also one of the few means to investigate cometary nuclei directly does not correspond with reality.']
|
Given that the claim that either some minerals contain more complex compounds or fossil fuels are the key to the high-productivity agriculture upon which American consumers rely does not reflect reality, it can be inferred that most dormouses have tails. So long as the claim that either some minerals contain more complex compounds or fossil fuels are the key to the high-productivity agriculture upon which American consumers rely does not reflect reality, 'some teeth grow throughout time' is true. The claim that small intestine is made up of three regions namely duodenum, jejunum and ileum does not correspond with reality. So long as if some hoofs are part of babirusas, then manure is a favorite place for flies to lay their eggs, 'if those that suggest if some teeth grow throughout time, then the statement 'most dormouses have tails' can be considered false are wrong, then small intestine is made up of three regions namely duodenum, jejunum and ileum' is true. Provided that autogenic training consists of imagining a peaceful environment and comforting bodily sensations, we know that if some hoofs are part of babirusas, then manure is a favorite place for flies to lay their eggs. On the condition that the claim that autogenic training consists of imagining a peaceful environment and comforting bodily sensations is false, it is definitely the case that radar is also one of the few means to investigate cometary nuclei directly. Assuming the claim that autogenic training consists of imagining a peaceful environment and comforting bodily sensations is false, we know that the claim that radar is also one of the few means to investigate cometary nuclei directly does not correspond with reality.
|
We know that either some minerals contain more complex compounds or fossil fuels are the key to the high-productivity agriculture upon which American consumers rely.
|
We know that either minerals are natural inorganic solid materials of the Earth arranged in a crystalline structure or fossil fuels produce a lot of pollution when burned.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2].
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [3].
If [3], then (Not [2].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (Not [2].).).), then [4]. [SC1-3]
Not [4].
Therefore, If [3], then (Not [2].)..
[SC1-3]
Modus Ponens:
If (If [5], then [6].), then (If (Not (If [3], then (Not [2].).).), then [4].).
If [5], then [6]. [SC2-4]
Therefore, If (Not (If [3], then (Not [2].).).), then [4]..
[SC2-4]
Modus Ponens:
If [7], then (If [5], then [6].).
[7] [SC2-5]
Therefore, If [5], then [6]..
[SC2-5]
Reductio Ad Absurdum:
If (Not [7].), then [8].
If (Not [7].), then (Not [8].).
Therefore, [7].
|
{0: 'Some minerals contain more complex compounds.', 1: 'Fossil fuels are the key to the high-productivity agriculture upon which American consumers rely.', 2: 'Most dormouses have tails.', 3: 'Some teeth grow throughout time.', 4: 'Small intestine is made up of three regions namely duodenum, jejunum and ileum.', 5: 'Some hoofs are part of babirusas.', 6: 'Manure is a favorite place for flies to lay their eggs.', 7: 'Autogenic training consists of imagining a peaceful environment and comforting bodily sensations.', 8: 'Radar is also one of the few means to investigate cometary nuclei directly.'}
| 6 |
5,986 |
["Once we know those that suggest people buy products are wrong, we also know that the notion that 'streets are neighborhoods' is untrue.", 'We know that at least one of two things is true: flexibility refers to the range of movement of a joint, or if those that suggest people buy products are wrong, then streets are neighborhoods.', 'If flexibility refers to the range of movement of a joint, then dense bamboo groves support numerous bird species.', 'Should it be the case that those that suggest if the statement that states if flexibility refers to the range of movement of a joint, then the statement that states dense bamboo groves support numerous bird species is false is false, then velocity is the rate of change of position are wrong, it follows that enzymes improve food safety by catalysing the degradation of indigenous toxic factors.', 'One may reasonably assume that if those that suggest if the statement that states if flexibility refers to the range of movement of a joint, then the statement that states dense bamboo groves support numerous bird species is false is false, then velocity is the rate of change of position are wrong, then the claim that enzymes improve food safety by catalysing the degradation of indigenous toxic factors does not reflect reality.', 'Assuming velocity is the rate of change of position, we know that many psychologists look at eating disorders from a diathesis-stress perspective.', 'On the condition that velocity is the rate of change of position, it is definitely the case that the claim that many psychologists look at eating disorders from a diathesis-stress perspective is false.']
|
Once we know those that suggest people buy products are wrong, we also know that the notion that 'streets are neighborhoods' is untrue. We know that at least one of two things is true: flexibility refers to the range of movement of a joint, or if those that suggest people buy products are wrong, then streets are neighborhoods. If flexibility refers to the range of movement of a joint, then dense bamboo groves support numerous bird species. Should it be the case that those that suggest if the statement that states if flexibility refers to the range of movement of a joint, then the statement that states dense bamboo groves support numerous bird species is false is false, then velocity is the rate of change of position are wrong, it follows that enzymes improve food safety by catalysing the degradation of indigenous toxic factors. One may reasonably assume that if those that suggest if the statement that states if flexibility refers to the range of movement of a joint, then the statement that states dense bamboo groves support numerous bird species is false is false, then velocity is the rate of change of position are wrong, then the claim that enzymes improve food safety by catalysing the degradation of indigenous toxic factors does not reflect reality. Assuming velocity is the rate of change of position, we know that many psychologists look at eating disorders from a diathesis-stress perspective. On the condition that velocity is the rate of change of position, it is definitely the case that the claim that many psychologists look at eating disorders from a diathesis-stress perspective is false.
|
It is the case that people buy products.
|
It is the case that people buy products.
|
TRUE
|
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].).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Tonens:
If (Not (If [2], then (Not [3].).).), then [4]. [SC1-4]
Not [4]. [SC2-4]
Therefore, If [2], then (Not [3].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Not [3].).).), then [4].).), then [5].
If (Not (If (Not (If [2], then (Not [3].).).), then [4].).), then (Not [5].).
Therefore, If (Not (If [2], then (Not [3].).).), then [4]..
[SC2-4]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'People buy products.', 1: 'Streets are neighborhoods.', 2: 'Flexibility refers to the range of movement of a joint.', 3: 'Dense bamboo groves support numerous bird species.', 4: 'Velocity is the rate of change of position.', 5: 'Enzymes improve food safety by catalysing the degradation of indigenous toxic factors.', 6: 'Many psychologists look at eating disorders from a diathesis-stress perspective.'}
| 6 |
5,688 |
['Assuming either sodium fluoride is salt or plants become stunted and bunchy, we know that hemorrhoids occur as a result of too much pressure on the veins in the rectum.', 'Once we know we know that the claim that either cell damage can cause non-specific staining, cell clumping, and excessive debris or ears are capable of hears is false, we also know that bowmen have capillaries.', 'It is a common misconception that bowmen have capillaries.', "Either gardens require attention or if cell damage can cause non-specific staining, cell clumping, and excessive debris, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue.", 'The statement that states gardens require attention is false.', 'It is true that yeast produces alcohol as a natural byproduct.', "At least one of two things is true: bones break easier in tension than in compression, or chemistry plays a part in everyone's daily lives.", "When bones break easier in tension than in compression is true, it follows that if yeast produces alcohol as a natural byproduct, then if ears are capable of hears, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue.", "One may reasonably assume that if chemistry plays a part in everyone's daily lives, then if yeast produces alcohol as a natural byproduct, then if ears are capable of hears, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue."]
|
Assuming either sodium fluoride is salt or plants become stunted and bunchy, we know that hemorrhoids occur as a result of too much pressure on the veins in the rectum. Once we know we know that the claim that either cell damage can cause non-specific staining, cell clumping, and excessive debris or ears are capable of hears is false, we also know that bowmen have capillaries. It is a common misconception that bowmen have capillaries. Either gardens require attention or if cell damage can cause non-specific staining, cell clumping, and excessive debris, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue. The statement that states gardens require attention is false. It is true that yeast produces alcohol as a natural byproduct. At least one of two things is true: bones break easier in tension than in compression, or chemistry plays a part in everyone's daily lives. When bones break easier in tension than in compression is true, it follows that if yeast produces alcohol as a natural byproduct, then if ears are capable of hears, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue. One may reasonably assume that if chemistry plays a part in everyone's daily lives, then if yeast produces alcohol as a natural byproduct, then if ears are capable of hears, then if either sodium fluoride is salt or plants become stunted and bunchy, then the notion that 'hemorrhoids occur as a result of too much pressure on the veins in the rectum' is untrue.
|
The claim that either sodium fluoride is salt or plants become stunted and bunchy does not correspond with reality.
|
The statement that states sodium fluoride is added to public water supplies in carefully regulated, nontoxic amounts is false.
|
Uncertain
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2].
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Either [0] or [1].), then (Not [2].).). [SC2-2]
If [4], then (If (Either [0] or [1].), then (Not [2].).). [SC3-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [5].
Not [5].
Therefore, Either [3] or [4]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [3], then (If (Either [0] or [1].), then (Not [2].).).).
Not [6].
Therefore, If [3], then (If (Either [0] or [1].), then (Not [2].).)..
[SC3-2]
Modus Ponens:
If [7], then (If [4], then (If (Either [0] or [1].), then (Not [2].).).). [SC1-3]
[7]
Therefore, If [4], then (If (Either [0] or [1].), then (Not [2].).)..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then (If [4], then (If (Either [0] or [1].), then (Not [2].).).).).
If [9], then (If [7], then (If [4], then (If (Either [0] or [1].), then (Not [2].).).).).
Therefore, If [7], then (If [4], then (If (Either [0] or [1].), then (Not [2].).).)..
|
{0: 'Sodium fluoride is salt.', 1: 'Plants become stunted and bunchy.', 2: 'Hemorrhoids occur as a result of too much pressure on the veins in the rectum.', 3: 'Cell damage can cause non-specific staining, cell clumping, and excessive debris.', 4: 'Ears are capable of hears.', 5: 'Bowmen have capillaries.', 6: 'Gardens require attention.', 7: 'Yeast produces alcohol as a natural byproduct.', 8: 'Bones break easier in tension than in compression.', 9: "Chemistry plays a part in everyone's daily lives."}
| 6 |
5,864 |
['Provided that a speed skating is a skating, we know that either burglars are nervous about robbing homes that are visible to nearby neighbours or tarweed is in the composite family.', 'We can assume that a speed skating is a skating.', 'It is rational to believe that either if employees create goals, then sapwood is yellowish-white and clearly demarcated from heartwood or mouses are located in soup.', 'Assuming if employees create goals, then sapwood is yellowish-white and clearly demarcated from heartwood, we know that we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false.', 'Should it be the case that it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, it follows that either regular activity reduces stress, prevents depression, and improves quality of sleep or copperheads eat mice, lizards, frogs and sometimes small snakes.', 'Assuming either regular activity reduces stress, prevents depression, and improves quality of sleep or copperheads eat mice, lizards, frogs and sometimes small snakes, we know that sculleries have (part) doorways.', 'Either a sinus headache is a headache or metals often crystallize in a three dimensional version of the hexagonal closest packed structure.', 'Once we know a sinus headache is a headache, we also know that if it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, then some people mistakenly believe that sculleries have (part) doorways.', 'On the condition that metals often crystallize in a three dimensional version of the hexagonal closest packed structure, it is definitely the case that if it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, then some people mistakenly believe that sculleries have (part) doorways.']
|
Provided that a speed skating is a skating, we know that either burglars are nervous about robbing homes that are visible to nearby neighbours or tarweed is in the composite family. We can assume that a speed skating is a skating. It is rational to believe that either if employees create goals, then sapwood is yellowish-white and clearly demarcated from heartwood or mouses are located in soup. Assuming if employees create goals, then sapwood is yellowish-white and clearly demarcated from heartwood, we know that we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false. Should it be the case that it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, it follows that either regular activity reduces stress, prevents depression, and improves quality of sleep or copperheads eat mice, lizards, frogs and sometimes small snakes. Assuming either regular activity reduces stress, prevents depression, and improves quality of sleep or copperheads eat mice, lizards, frogs and sometimes small snakes, we know that sculleries have (part) doorways. Either a sinus headache is a headache or metals often crystallize in a three dimensional version of the hexagonal closest packed structure. Once we know a sinus headache is a headache, we also know that if it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, then some people mistakenly believe that sculleries have (part) doorways. On the condition that metals often crystallize in a three dimensional version of the hexagonal closest packed structure, it is definitely the case that if it is not the case that if mouses are located in soup, then we know that the claim that burglars are nervous about robbing homes that are visible to nearby neighbours is false, then some people mistakenly believe that sculleries have (part) doorways.
|
It is a simple truth that tarweed is in the composite family.
|
It is a simple truth that tarweed is in the composite family.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [5], then (Either [1] or [0].).
[5]
Therefore, Either [1] or [0]..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Not [1].).
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [1].).).), then [6]. [SC1-3]
If (Not (If [4], then (Not [1].).).), then (Not [6].). [SC2-3]
Therefore, If [4], then (Not [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [4], then (Not [1].).).), then (Either [7] or [8].).
If (Either [7] or [8].), then [6].
Therefore, If (Not (If [4], then (Not [1].).).), then [6]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If [4], then (Not [1].).).), then (Not [6].).).
If [10], then (If (Not (If [4], then (Not [1].).).), then (Not [6].).).
Therefore, If (Not (If [4], then (Not [1].).).), then (Not [6].)..
|
{0: 'Tarweed is in the composite family.', 1: 'Burglars are nervous about robbing homes that are visible to nearby neighbours.', 2: 'Employees create goals.', 3: 'Sapwood is yellowish-white and clearly demarcated from heartwood.', 4: 'Mouses are located in soup.', 5: 'A speed skating is a skating.', 6: 'Sculleries have (part) doorways.', 7: 'Regular activity reduces stress, prevents depression, and improves quality of sleep.', 8: 'Copperheads eat mice, lizards, frogs and sometimes small snakes.', 9: 'A sinus headache is a headache.', 10: 'Metals often crystallize in a three dimensional version of the hexagonal closest packed structure.'}
| 6 |
5,927 |
['Assuming fossil pollen is also vital in dating rocks from which no other fossil remains have been recovered, we know that supermarkets sell bags.', "Whenever it is true that psychologists assume that behavior is lawfully determined or caused by prior events, 'supermarkets sell bags' is true.", 'It is a fact that either either seashell is located in sea or some herbivores eat moss or mulch protects plants.', 'When either seashell is located in sea or some herbivores eat moss is true, it follows that fossil pollen is also vital in dating rocks from which no other fossil remains have been recovered.', 'The claim that most homeowners inherit problems does not reflect reality.', 'It is the case that music has the same right to progress as the other arts and sciences.', "So long as the statement, if music has the same right to progress as the other arts and sciences, then either most homeowners inherit problems or if mulch protects plants, then psychologists assume that behavior is lawfully determined or caused by prior events, does not hold, 'traffic is a major factor that affects the livability of a community' is true.", "Assuming treetop university is a place for all ages, from newborn to fifth grade, we know that if the statement, if music has the same right to progress as the other arts and sciences, then either most homeowners inherit problems or if mulch protects plants, then psychologists assume that behavior is lawfully determined or caused by prior events, does not hold, then the statement 'traffic is a major factor that affects the livability of a community' can be considered false.", 'The statement that states treetop university is a place for all ages, from newborn to fifth grade is right.']
|
Assuming fossil pollen is also vital in dating rocks from which no other fossil remains have been recovered, we know that supermarkets sell bags. Whenever it is true that psychologists assume that behavior is lawfully determined or caused by prior events, 'supermarkets sell bags' is true. It is a fact that either either seashell is located in sea or some herbivores eat moss or mulch protects plants. When either seashell is located in sea or some herbivores eat moss is true, it follows that fossil pollen is also vital in dating rocks from which no other fossil remains have been recovered. The claim that most homeowners inherit problems does not reflect reality. It is the case that music has the same right to progress as the other arts and sciences. So long as the statement, if music has the same right to progress as the other arts and sciences, then either most homeowners inherit problems or if mulch protects plants, then psychologists assume that behavior is lawfully determined or caused by prior events, does not hold, 'traffic is a major factor that affects the livability of a community' is true. Assuming treetop university is a place for all ages, from newborn to fifth grade, we know that if the statement, if music has the same right to progress as the other arts and sciences, then either most homeowners inherit problems or if mulch protects plants, then psychologists assume that behavior is lawfully determined or caused by prior events, does not hold, then the statement 'traffic is a major factor that affects the livability of a community' can be considered false. The statement that states treetop university is a place for all ages, from newborn to fifth grade is right.
|
Those that suggest supermarkets sell bags are right.
|
Supermarkets stock fresh fruit and vegetables in the middle of winter.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then [1].
If [5], then [2]. [SC3-2]
Therefore, Either [1] or [2]..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If [5], then [2].). [SC1-3]
Not [6].
Therefore, If [5], then [2]..
[SC1-3]
Modus Ponens:
If [7], then (Either [6] or (If [5], then [2].).). [SC1-4]
[7]
Therefore, Either [6] or (If [5], then [2].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [7], then (Either [6] or (If [5], then [2].).).).), then [8].
If (Not (If [7], then (Either [6] or (If [5], then [2].).).).), then (Not [8].). [SC2-5]
Therefore, If [7], then (Either [6] or (If [5], then [2].).)..
[SC2-5]
Modus Ponens:
If [9], then (If (Not (If [7], then (Either [6] or (If [5], then [2].).).).), then (Not [8].).).
[9]
Therefore, If (Not (If [7], then (Either [6] or (If [5], then [2].).).).), then (Not [8].)..
|
{0: 'Supermarkets sell bags.', 1: 'Fossil pollen is also vital in dating rocks from which no other fossil remains have been recovered.', 2: 'Psychologists assume that behavior is lawfully determined or caused by prior events.', 3: 'Seashell is located in sea.', 4: 'Some herbivores eat moss.', 5: 'Mulch protects plants.', 6: 'Most homeowners inherit problems.', 7: 'Music has the same right to progress as the other arts and sciences.', 8: 'Traffic is a major factor that affects the livability of a community.', 9: 'Treetop university is a place for all ages, from newborn to fifth grade.'}
| 6 |
5,378 |
['We know that either inflation is often the byproduct of an overheated economy or humans communicate with symbols and verbal language.', 'On the condition that humans communicate with symbols and verbal language, it is definitely the case that most mammals retain ears.', 'Once we know the statement that states if inflation is often the byproduct of an overheated economy, then most blastocysts contain fluid is false, we also know that most potato has pale skin.', "So long as most potato has pale skin, 'most muscle foods have low levels of carbohydrates' is true.", "If most muscle foods have low levels of carbohydrates, then the statement 'most leeches have properties' can be considered false.", 'At least one of two things is true: either numbers are money or plants contain fiber, or if most muscle foods have low levels of carbohydrates, then most leeches have properties.', 'We know that at least one of two things is true: newborns stay with their mother for at least a year, or it is a common misconception that either numbers are money or plants contain fiber.', 'The claim that newborns stay with their mother for at least a year does not reflect reality.']
|
We know that either inflation is often the byproduct of an overheated economy or humans communicate with symbols and verbal language. On the condition that humans communicate with symbols and verbal language, it is definitely the case that most mammals retain ears. Once we know the statement that states if inflation is often the byproduct of an overheated economy, then most blastocysts contain fluid is false, we also know that most potato has pale skin. So long as most potato has pale skin, 'most muscle foods have low levels of carbohydrates' is true. If most muscle foods have low levels of carbohydrates, then the statement 'most leeches have properties' can be considered false. At least one of two things is true: either numbers are money or plants contain fiber, or if most muscle foods have low levels of carbohydrates, then most leeches have properties. We know that at least one of two things is true: newborns stay with their mother for at least a year, or it is a common misconception that either numbers are money or plants contain fiber. The claim that newborns stay with their mother for at least a year does not reflect reality.
|
It is rational to believe that either most blastocysts contain fluid or most mammals retain ears.
|
There is good reason to believe that either blastocysts have (part) faces or all mammals breathe air.
|
Uncertain
|
Constructive Dilemma:
Either [2] or [3].
If [2], then [0]. [SC2-1]
If [3], then [1].
Therefore, Either [0] or [1]..
[SC2-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [2], then [0].).), then [5].
If [5], then [4].
Therefore, If (Not (If [2], then [0].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [6]. [SC1-3]
If [4], then (Not [6].).
Therefore, Not [4]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If [4], then [6].).
Not (Either [7] or [8].). [SC2-4]
Therefore, If [4], then [6]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not (Either [7] or [8].).).
Not [9].
Therefore, Not (Either [7] or [8].)..
|
{0: 'Most blastocysts contain fluid.', 1: 'Most mammals retain ears.', 2: 'Inflation is often the byproduct of an overheated economy.', 3: 'Humans communicate with symbols and verbal language.', 4: 'Most muscle foods have low levels of carbohydrates.', 5: 'Most potato has pale skin.', 6: 'Most leeches have properties.', 7: 'Numbers are money.', 8: 'Plants contain fiber.', 9: 'Newborns stay with their mother for at least a year.'}
| 6 |
5,320 |
['Provided that malaria is curable if promptly diagnosed and adequately treated, we know that some equations describe atmospheric motion.', 'Should it be the case that if some pata monkeys develop fatal illnesses, then drinks are helpings, it follows that malaria is curable if promptly diagnosed and adequately treated.', 'The claim that either fortification is art or some oxygen tension regulates maturation does not reflect reality.', 'Either one or both of these statements are true: roofs have (part) sections, or if some spiders have teeth, then anthrax spores can live for years in carcasses buried in the ground.', 'One may reasonably assume that if if some spiders have teeth, then anthrax spores can live for years in carcasses buried in the ground, then if some pata monkeys develop fatal illnesses, then drinks are helpings.', 'The statement that states dioxins are persistent, toxic and bioaccumulative substances is false.', "Whenever it is true that the statement 'either dioxins are persistent, toxic and bioaccumulative substances or if roofs have (part) sections, then either fortification is art or some oxygen tension regulates maturation' can be considered false, 'false self is the root of self-sabotoge' is true.", 'Some people mistakenly believe that false self is the root of self-sabotoge.']
|
Provided that malaria is curable if promptly diagnosed and adequately treated, we know that some equations describe atmospheric motion. Should it be the case that if some pata monkeys develop fatal illnesses, then drinks are helpings, it follows that malaria is curable if promptly diagnosed and adequately treated. The claim that either fortification is art or some oxygen tension regulates maturation does not reflect reality. Either one or both of these statements are true: roofs have (part) sections, or if some spiders have teeth, then anthrax spores can live for years in carcasses buried in the ground. One may reasonably assume that if if some spiders have teeth, then anthrax spores can live for years in carcasses buried in the ground, then if some pata monkeys develop fatal illnesses, then drinks are helpings. The statement that states dioxins are persistent, toxic and bioaccumulative substances is false. Whenever it is true that the statement 'either dioxins are persistent, toxic and bioaccumulative substances or if roofs have (part) sections, then either fortification is art or some oxygen tension regulates maturation' can be considered false, 'false self is the root of self-sabotoge' is true. Some people mistakenly believe that false self is the root of self-sabotoge.
|
It is a simple truth that some equations describe atmospheric motion.
|
It is a simple truth that some equations describe atmospheric motion.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then [1].
If [2], then [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If [2], then [3].). [SC1-3]
Not (Either [4] or [5].).
Therefore, If [2], then [3]..
[SC1-3]
Constructive Dilemma:
Either [6] or (If [7], then [8].).
If [6], then (Either [4] or [5].). [SC2-4]
If (If [7], then [8].), then (If [2], then [3].).
Therefore, Either (Either [4] or [5].) or (If [2], then [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If [6], then (Either [4] or [5].).). [SC1-5]
Not [9].
Therefore, If [6], then (Either [4] or [5].)..
[SC1-5]
Modus Tonens:
If (Not (Either [9] or (If [6], then (Either [4] or [5].).).).), then [10].
Not [10].
Therefore, Either [9] or (If [6], then (Either [4] or [5].).)..
|
{0: 'Some equations describe atmospheric motion.', 1: 'Malaria is curable if promptly diagnosed and adequately treated.', 2: 'Some pata monkeys develop fatal illnesses.', 3: 'Drinks are helpings.', 4: 'Fortification is art.', 5: 'Some oxygen tension regulates maturation.', 6: 'Roofs have (part) sections.', 7: 'Some spiders have teeth.', 8: 'Anthrax spores can live for years in carcasses buried in the ground.', 9: 'Dioxins are persistent, toxic and bioaccumulative substances.', 10: 'False self is the root of self-sabotoge.'}
| 6 |
5,942 |
['There is good reason to believe that either some raccoon rabies kills raccoons or pressure transducers are also visible on some of the stakes going into the water.', 'Some people mistakenly believe that some raccoon rabies kills raccoons.', 'Those that suggest gender is an ideological term to mainstream artificial sexual ideology into the culture are right.', 'Assuming some people mistakenly believe that home cooking is no longer the primary source of meals for many people, we know that plant biologists classify several different types of fleshy fruits.', 'On the condition that some people mistakenly believe that home cooking is no longer the primary source of meals for many people, it is definitely the case that those that suggest plant biologists classify several different types of fleshy fruits are wrong.', 'Either affected birds develop droppings which often have a yellow color or if gender is an ideological term to mainstream artificial sexual ideology into the culture, then if home cooking is no longer the primary source of meals for many people, then if pressure transducers are also visible on some of the stakes going into the water, then if harvestmen are generally leisurely in their movements, but can move rapidly when disturbed, then players have (part) heads.', 'The claim that affected birds develop droppings which often have a yellow color is false.']
|
There is good reason to believe that either some raccoon rabies kills raccoons or pressure transducers are also visible on some of the stakes going into the water. Some people mistakenly believe that some raccoon rabies kills raccoons. Those that suggest gender is an ideological term to mainstream artificial sexual ideology into the culture are right. Assuming some people mistakenly believe that home cooking is no longer the primary source of meals for many people, we know that plant biologists classify several different types of fleshy fruits. On the condition that some people mistakenly believe that home cooking is no longer the primary source of meals for many people, it is definitely the case that those that suggest plant biologists classify several different types of fleshy fruits are wrong. Either affected birds develop droppings which often have a yellow color or if gender is an ideological term to mainstream artificial sexual ideology into the culture, then if home cooking is no longer the primary source of meals for many people, then if pressure transducers are also visible on some of the stakes going into the water, then if harvestmen are generally leisurely in their movements, but can move rapidly when disturbed, then players have (part) heads. The claim that affected birds develop droppings which often have a yellow color is false.
|
When harvestmen are generally leisurely in their movements, but can move rapidly when disturbed is true, it follows that players have (part) heads.
|
One may reasonably assume that if a harvestman is an arachnoid, then players have (part) heads.
|
Uncertain
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (If [0], then [1].).). [SC1-2]
[3] [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [6], then (If [3], then (If [2], then (If [0], then [1].).).). [SC1-3]
[6]
Therefore, If [3], then (If [2], then (If [0], then [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (If [3], then (If [2], then (If [0], then [1].).).).).
Not [7].
Therefore, If [6], then (If [3], then (If [2], then (If [0], then [1].).).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [5].
If (Not [3].), then (Not [5].).
Therefore, [3].
[SC2-1]
Disjunctive Syllogism:
Either [4] or [2].
Not [4].
Therefore, [2].
|
{0: 'Harvestmen are generally leisurely in their movements, but can move rapidly when disturbed.', 1: 'Players have (part) heads.', 2: 'Pressure transducers are also visible on some of the stakes going into the water.', 3: 'Home cooking is no longer the primary source of meals for many people.', 4: 'Some raccoon rabies kills raccoons.', 5: 'Plant biologists classify several different types of fleshy fruits.', 6: 'Gender is an ideological term to mainstream artificial sexual ideology into the culture.', 7: 'Affected birds develop droppings which often have a yellow color.'}
| 6 |
5,351 |
['One may reasonably assume that if most viruses require enzymes, then anaphylactic reactions are severe and require immediate medical attention.', 'Assuming it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, we know that midges have (part) carapaces.', "Whenever it is true that string length refers to the distance from nut to bridge, 'the claim that artificial dams impede channel erosion has no merit' is true.", 'It is a fact that either ectoparasites remain in the soil and feed at the root surface or flash evaporation is the best method for making highly reflective aluminum and silver films.', 'One may reasonably assume that if ectoparasites remain in the soil and feed at the root surface, then if it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, then the statement, midges have (part) carapaces, does not hold.', 'One may reasonably assume that if flash evaporation is the best method for making highly reflective aluminum and silver films, then if it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, then the statement, midges have (part) carapaces, does not hold.', 'Should it be the case that reproduction is either sexual or asexual, it follows that string length refers to the distance from nut to bridge.', 'The statement that states reproduction is either sexual or asexual is right.']
|
One may reasonably assume that if most viruses require enzymes, then anaphylactic reactions are severe and require immediate medical attention. Assuming it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, we know that midges have (part) carapaces. Whenever it is true that string length refers to the distance from nut to bridge, 'the claim that artificial dams impede channel erosion has no merit' is true. It is a fact that either ectoparasites remain in the soil and feed at the root surface or flash evaporation is the best method for making highly reflective aluminum and silver films. One may reasonably assume that if ectoparasites remain in the soil and feed at the root surface, then if it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, then the statement, midges have (part) carapaces, does not hold. One may reasonably assume that if flash evaporation is the best method for making highly reflective aluminum and silver films, then if it is not true that either artificial dams impede channel erosion or it is a common misconception that anaphylactic reactions are severe and require immediate medical attention, then the statement, midges have (part) carapaces, does not hold. Should it be the case that reproduction is either sexual or asexual, it follows that string length refers to the distance from nut to bridge. The statement that states reproduction is either sexual or asexual is right.
|
The statement 'most viruses require enzymes' can be considered false.
|
It is a common misconception that viruses also cause measles, mumps, yellow fever, poliomyelitis, influenza and the common cold.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (Not [1].).).), then [3].
If (Not (Either [2] or (Not [1].).).), then (Not [3].). [SC2-3]
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (Either [2] or (Not [1].).).), then (Not [3].).).
If [7], then (If (Not (Either [2] or (Not [1].).).), then (Not [3].).).
Therefore, If (Not (Either [2] or (Not [1].).).), then (Not [3].)..
[SC2-2]
Modus Ponens:
If [4], then (Not [2].).
[4] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
|
{0: 'Most viruses require enzymes.', 1: 'Anaphylactic reactions are severe and require immediate medical attention.', 2: 'Artificial dams impede channel erosion.', 3: 'Midges have (part) carapaces.', 4: 'String length refers to the distance from nut to bridge.', 5: 'Reproduction is either sexual or asexual.', 6: 'Ectoparasites remain in the soil and feed at the root surface.', 7: 'Flash evaporation is the best method for making highly reflective aluminum and silver films.'}
| 6 |
5,418 |
['Provided that most toucans live year round in the same area, we know that the claim that many nerves leave from each ganglion does not reflect reality.', 'Given that some children are especially prone to colds they pick up in daycare, it can be inferred that many nerves leave from each ganglion.', 'On the condition that electricity generation is by far the main user of imported energy, it is definitely the case that if most toucans live year round in the same area, then some children are especially prone to colds they pick up in daycare.', 'It is rational to believe that either most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele or electricity generation is by far the main user of imported energy.', 'It is true that aortic regurgitation causes dilation of the left ventricle.', "One may reasonably assume that if the claim that if aortic regurgitation causes dilation of the left ventricle, then the statement that 'most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele' is incorrect is false, then if electricity is able to pass through electrolytes, as well as molten salts, then soils have natural characteristics that determine how well they receive and hold water.", "One may reasonably assume that if the claim that if aortic regurgitation causes dilation of the left ventricle, then the statement that 'most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele' is incorrect is false, then some people mistakenly believe that if electricity is able to pass through electrolytes, as well as molten salts, then soils have natural characteristics that determine how well they receive and hold water."]
|
Provided that most toucans live year round in the same area, we know that the claim that many nerves leave from each ganglion does not reflect reality. Given that some children are especially prone to colds they pick up in daycare, it can be inferred that many nerves leave from each ganglion. On the condition that electricity generation is by far the main user of imported energy, it is definitely the case that if most toucans live year round in the same area, then some children are especially prone to colds they pick up in daycare. It is rational to believe that either most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele or electricity generation is by far the main user of imported energy. It is true that aortic regurgitation causes dilation of the left ventricle. One may reasonably assume that if the claim that if aortic regurgitation causes dilation of the left ventricle, then the statement that 'most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele' is incorrect is false, then if electricity is able to pass through electrolytes, as well as molten salts, then soils have natural characteristics that determine how well they receive and hold water. One may reasonably assume that if the claim that if aortic regurgitation causes dilation of the left ventricle, then the statement that 'most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele' is incorrect is false, then some people mistakenly believe that if electricity is able to pass through electrolytes, as well as molten salts, then soils have natural characteristics that determine how well they receive and hold water.
|
The claim that most toucans live year round in the same area does not reflect reality.
|
It is not the case that toucans nest in holes in trees.
|
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].
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [0], then [2].).
[3] [SC2-3]
Therefore, If [0], then [2]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or [3].
Not [4]. [SC2-4]
Therefore, [3].
[SC2-4]
Modus Ponens:
If [5], then (Not [4].). [SC1-5]
[5]
Therefore, Not [4]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If [5], then (Not [4].).).), then (If [6], then [7].).
If (Not (If [5], then (Not [4].).).), then (Not (If [6], then [7].).).
Therefore, If [5], then (Not [4].)..
|
{0: 'Most toucans live year round in the same area.', 1: 'Many nerves leave from each ganglion.', 2: 'Some children are especially prone to colds they pick up in daycare.', 3: 'Electricity generation is by far the main user of imported energy.', 4: 'Most individuals affected with ornithine transcarbamylase deficiency carry the same mutant allele.', 5: 'Aortic regurgitation causes dilation of the left ventricle.', 6: 'Electricity is able to pass through electrolytes, as well as molten salts.', 7: 'Soils have natural characteristics that determine how well they receive and hold water.'}
| 6 |
5,945 |
['Provided that the claim that if if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then epigraphy is the study of the meaning of hieroglyphic writing does not correspond with reality, we know that dead leaves can harbor spores of harmful fungi.', 'On the condition that the claim that if if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then epigraphy is the study of the meaning of hieroglyphic writing does not correspond with reality, it is definitely the case that it is a common misconception that dead leaves can harbor spores of harmful fungi.', 'Those that suggest if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal are wrong.', 'At least one of two things is true: organs are an essential part of the prey model raw diet, or men are the sum of the decisions they make.', 'Once we know men are the sum of the decisions they make, we also know that if it is not the case that if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal.', 'One may reasonably assume that if human benevolence is mingled with vanity, interest, or some other motive, then simple epithelium consists of one layer of cells resting on a basement membrane.', 'On the condition that those that suggest if if human benevolence is mingled with vanity, interest, or some other motive, then simple epithelium consists of one layer of cells resting on a basement membrane, then if organs are an essential part of the prey model raw diet, then if it is not the case that if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal are wrong, it is definitely the case that plants flower indeterminately.', 'The claim that plants flower indeterminately has no merit.']
|
Provided that the claim that if if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then epigraphy is the study of the meaning of hieroglyphic writing does not correspond with reality, we know that dead leaves can harbor spores of harmful fungi. On the condition that the claim that if if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then epigraphy is the study of the meaning of hieroglyphic writing does not correspond with reality, it is definitely the case that it is a common misconception that dead leaves can harbor spores of harmful fungi. Those that suggest if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal are wrong. At least one of two things is true: organs are an essential part of the prey model raw diet, or men are the sum of the decisions they make. Once we know men are the sum of the decisions they make, we also know that if it is not the case that if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal. One may reasonably assume that if human benevolence is mingled with vanity, interest, or some other motive, then simple epithelium consists of one layer of cells resting on a basement membrane. On the condition that those that suggest if if human benevolence is mingled with vanity, interest, or some other motive, then simple epithelium consists of one layer of cells resting on a basement membrane, then if organs are an essential part of the prey model raw diet, then if it is not the case that if some markets contribute to agricultural improvement, then new growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds, then if mold thrives most often in moist conditions, then technetium is a radioactive silver-gray metal are wrong, it is definitely the case that plants flower indeterminately. The claim that plants flower indeterminately has no merit.
|
The claim that epigraphy is the study of the meaning of hieroglyphic writing is true.
|
It is not the case that epigraphy is the study of the meaning of hieroglyphic writing.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then [5].
If (Not (If (If [1], then [2].), then [0].).), then (Not [5].).
Therefore, If (If [1], then [2].), then [0]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [1], then [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then [2].).), then (If [3], then [4].).). [SC2-3]
If [7], then (If (Not (If [1], then [2].).), then (If [3], then [4].).).
Therefore, If (Not (If [1], then [2].).), then (If [3], then [4].)..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (If [6], then (If (Not (If [1], then [2].).), then (If [3], then [4].).).). [SC1-4]
If [8], then [9].
Therefore, If [6], then (If (Not (If [1], then [2].).), then (If [3], then [4].).)..
[SC1-4]
Modus Tonens:
If (Not (If (If [8], then [9].), then (If [6], then (If (Not (If [1], then [2].).), then (If [3], then [4].).).).).), then [10].
Not [10].
Therefore, If (If [8], then [9].), then (If [6], then (If (Not (If [1], then [2].).), then (If [3], then [4].).).)..
|
{0: 'Epigraphy is the study of the meaning of hieroglyphic writing.', 1: 'Some markets contribute to agricultural improvement.', 2: 'New growth occurs at the tip of the kelp plant, where tiny pneumatocysts form along with new fronds.', 3: 'Mold thrives most often in moist conditions.', 4: 'Technetium is a radioactive silver-gray metal.', 5: 'Dead leaves can harbor spores of harmful fungi.', 6: 'Organs are an essential part of the prey model raw diet.', 7: 'Men are the sum of the decisions they make.', 8: 'Human benevolence is mingled with vanity, interest, or some other motive.', 9: 'Simple epithelium consists of one layer of cells resting on a basement membrane.', 10: 'Plants flower indeterminately.'}
| 6 |
5,795 |
['Assuming some people mistakenly believe that if it is not the case that if comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, then silver is a micro nutrient found in trace amounts in many fruits and other foods, then air separation is one of the main uses of cryogenic distillation, we know that the claim that nacre lines the inside of the shell has no merit.', 'Provided that husbands take final breaths, we know that if some people mistakenly believe that if it is not the case that if comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, then silver is a micro nutrient found in trace amounts in many fruits and other foods, then air separation is one of the main uses of cryogenic distillation, then nacre lines the inside of the shell.', 'It is true that husbands take final breaths.', 'When food stored in the cotyledons is broken down by enzymes and moved to the embryo is true, it follows that if air separation is one of the main uses of cryogenic distillation, then thunderstorms produce other hazards as well.', 'We can assume that food stored in the cotyledons is broken down by enzymes and moved to the embryo.', 'Assuming it is a common misconception that if air separation is one of the main uses of cryogenic distillation, then the claim that thunderstorms produce other hazards as well does not reflect reality, we know that if chemical substances consist of chemical elements, then eMFs have an effect on the repair of cells, and on melatonin.', 'The claim that if chemical substances consist of chemical elements, then eMFs have an effect on the repair of cells, and on melatonin is false.']
|
Assuming some people mistakenly believe that if it is not the case that if comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, then silver is a micro nutrient found in trace amounts in many fruits and other foods, then air separation is one of the main uses of cryogenic distillation, we know that the claim that nacre lines the inside of the shell has no merit. Provided that husbands take final breaths, we know that if some people mistakenly believe that if it is not the case that if comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, then silver is a micro nutrient found in trace amounts in many fruits and other foods, then air separation is one of the main uses of cryogenic distillation, then nacre lines the inside of the shell. It is true that husbands take final breaths. When food stored in the cotyledons is broken down by enzymes and moved to the embryo is true, it follows that if air separation is one of the main uses of cryogenic distillation, then thunderstorms produce other hazards as well. We can assume that food stored in the cotyledons is broken down by enzymes and moved to the embryo. Assuming it is a common misconception that if air separation is one of the main uses of cryogenic distillation, then the claim that thunderstorms produce other hazards as well does not reflect reality, we know that if chemical substances consist of chemical elements, then eMFs have an effect on the repair of cells, and on melatonin. The claim that if chemical substances consist of chemical elements, then eMFs have an effect on the repair of cells, and on melatonin is false.
|
Provided that comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, we know that silver is a micro nutrient found in trace amounts in many fruits and other foods
|
It is not the case that if comets are bodies of ice, rock, and organic compounds that can be several miles in diameter, then silver is a micro nutrient found in trace amounts in many fruits and other foods.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
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 [4]. [SC1-2]
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [4].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If (Not (If [0], then [1].).), then [2].).), then [4].).
[5]
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then [4]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-2]
If [2], then (Not [3].). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [6], then (If [2], then [3].).
[6]
Therefore, If [2], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [3].).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [2], then (Not [3].)..
|
{0: 'Comets are bodies of ice, rock, and organic compounds that can be several miles in diameter.', 1: 'Silver is a micro nutrient found in trace amounts in many fruits and other foods.', 2: 'Air separation is one of the main uses of cryogenic distillation.', 3: 'Thunderstorms produce other hazards as well.', 4: 'Nacre lines the inside of the shell.', 5: 'Husbands take final breaths.', 6: 'Food stored in the cotyledons is broken down by enzymes and moved to the embryo.', 7: 'Chemical substances consist of chemical elements.', 8: 'EMFs have an effect on the repair of cells, and on melatonin.'}
| 6 |
5,145 |
['We know that either numbers have special significance or if the claim that many factors can influence the timing of migration, including genetic factors does not correspond with reality, then the claim that mothers often allow soiled, foul smelling diapers to remain for a long time on the baby has no merit.', 'Provided that men are more likely to deny that that they have a problem with eating and body image, we know that some trees can survive even when their crowns are scorched.', 'If some trees can survive even when their crowns are scorched, then if the claim that many factors can influence the timing of migration, including genetic factors does not correspond with reality, then mothers often allow soiled, foul smelling diapers to remain for a long time on the baby.', 'It is rational to believe that either a plumage is a cover or men are more likely to deny that that they have a problem with eating and body image.', 'It is not true that a plumage is a cover.', "One may reasonably assume that if numbers have special significance, then regular exercise benefits one's heart, lungs, bones and muscles.", "So long as numbers have special significance, 'it is not the case that regular exercise benefits one's heart, lungs, bones and muscles' is true."]
|
We know that either numbers have special significance or if the claim that many factors can influence the timing of migration, including genetic factors does not correspond with reality, then the claim that mothers often allow soiled, foul smelling diapers to remain for a long time on the baby has no merit. Provided that men are more likely to deny that that they have a problem with eating and body image, we know that some trees can survive even when their crowns are scorched. If some trees can survive even when their crowns are scorched, then if the claim that many factors can influence the timing of migration, including genetic factors does not correspond with reality, then mothers often allow soiled, foul smelling diapers to remain for a long time on the baby. It is rational to believe that either a plumage is a cover or men are more likely to deny that that they have a problem with eating and body image. It is not true that a plumage is a cover. One may reasonably assume that if numbers have special significance, then regular exercise benefits one's heart, lungs, bones and muscles. So long as numbers have special significance, 'it is not the case that regular exercise benefits one's heart, lungs, bones and muscles' is true.
|
The statement that states many factors can influence the timing of migration, including genetic factors is right.
|
The statement that states many factors can influence the timing of migration, including genetic factors is right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then [1].). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (If (Not [0].), then [1].).
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or [3].
Not [5].
Therefore, [3].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [6].
If [2], then (Not [6].).
Therefore, Not [2]..
|
{0: 'Many factors can influence the timing of migration, including genetic factors.', 1: 'Mothers often allow soiled, foul smelling diapers to remain for a long time on the baby.', 2: 'Numbers have special significance.', 3: 'Men are more likely to deny that that they have a problem with eating and body image.', 4: 'Some trees can survive even when their crowns are scorched.', 5: 'A plumage is a cover.', 6: "Regular exercise benefits one's heart, lungs, bones and muscles."}
| 6 |
5,826 |
['It is a fact that either if pterosaurs fly in and fly with their lower jaws skimming in the surface of the lake for fish, then gun bans create criminals out of honest, law-abiding citizens or chelated zinc is used in toothpastes and mouthwashes to prevent bad breath .', 'Assuming if pterosaurs fly in and fly with their lower jaws skimming in the surface of the lake for fish, then gun bans create criminals out of honest, law-abiding citizens, we know that scratching is one way of marking territory.', 'If hellhounds travel in rabid packs so be careful, then the statement, scratching is one way of marking territory, does not hold.', "Whenever it is true that green food is essential especially during the breeding season, 'the statement, scratching is one way of marking territory, does not hold' is true.", "Whenever it is true that chelated zinc is used in toothpastes and mouthwashes to prevent bad breath , 'either minerals are crystal or some research stations melt ice to provide fresh water supplies' is true.", 'It is rational to believe that either most States have a Society or goldfishes have (part) vertebrate feet.', 'Once we know most States have a Society, we also know that either hellhounds travel in rabid packs so be careful or green food is essential especially during the breeding season.', 'When goldfishes have (part) vertebrate feet is true, it follows that either hellhounds travel in rabid packs so be careful or green food is essential especially during the breeding season.', 'At least one of two things is true: numerous thunderstorms produce high wind, or an eraser is an implement.', 'One may reasonably assume that if numerous thunderstorms produce high wind, then if either minerals are crystal or some research stations melt ice to provide fresh water supplies, then spondylolisthesis is most common in the lumbar area.', "Whenever it is true that an eraser is an implement, 'if either minerals are crystal or some research stations melt ice to provide fresh water supplies, then spondylolisthesis is most common in the lumbar area' is true."]
|
It is a fact that either if pterosaurs fly in and fly with their lower jaws skimming in the surface of the lake for fish, then gun bans create criminals out of honest, law-abiding citizens or chelated zinc is used in toothpastes and mouthwashes to prevent bad breath . Assuming if pterosaurs fly in and fly with their lower jaws skimming in the surface of the lake for fish, then gun bans create criminals out of honest, law-abiding citizens, we know that scratching is one way of marking territory. If hellhounds travel in rabid packs so be careful, then the statement, scratching is one way of marking territory, does not hold. Whenever it is true that green food is essential especially during the breeding season, 'the statement, scratching is one way of marking territory, does not hold' is true. Whenever it is true that chelated zinc is used in toothpastes and mouthwashes to prevent bad breath , 'either minerals are crystal or some research stations melt ice to provide fresh water supplies' is true. It is rational to believe that either most States have a Society or goldfishes have (part) vertebrate feet. Once we know most States have a Society, we also know that either hellhounds travel in rabid packs so be careful or green food is essential especially during the breeding season. When goldfishes have (part) vertebrate feet is true, it follows that either hellhounds travel in rabid packs so be careful or green food is essential especially during the breeding season. At least one of two things is true: numerous thunderstorms produce high wind, or an eraser is an implement. One may reasonably assume that if numerous thunderstorms produce high wind, then if either minerals are crystal or some research stations melt ice to provide fresh water supplies, then spondylolisthesis is most common in the lumbar area. Whenever it is true that an eraser is an implement, 'if either minerals are crystal or some research stations melt ice to provide fresh water supplies, then spondylolisthesis is most common in the lumbar area' is true.
|
It is fair to say that spondylolisthesis is most common in the lumbar area.
|
It is fair to say that spondylolisthesis is most common in the lumbar area.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then [1].
If [4], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Hypothetical Syllogism:
If [4], then (Either [9] or [10].).
If (Either [9] or [10].), then [0]. [SC2-3]
Therefore, If [4], then [0]..
[SC2-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (Either [9] or [10].), then [0].).
If [12], then (If (Either [9] or [10].), then [0].).
Therefore, If (Either [9] or [10].), then [0]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (Not [1].).
If [6], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
|
{0: 'Spondylolisthesis is most common in the lumbar area.', 1: 'Scratching is one way of marking territory.', 2: 'Pterosaurs fly in and fly with their lower jaws skimming in the surface of the lake for fish.', 3: 'Gun bans create criminals out of honest, law-abiding citizens.', 4: 'Chelated zinc is used in toothpastes and mouthwashes to prevent bad breath .', 5: 'Hellhounds travel in rabid packs so be careful.', 6: 'Green food is essential especially during the breeding season.', 7: 'Most States have a Society.', 8: 'Goldfishes have (part) vertebrate feet.', 9: 'Minerals are crystal.', 10: 'Some research stations melt ice to provide fresh water supplies.', 11: 'Numerous thunderstorms produce high wind.', 12: 'An eraser is an implement.'}
| 6 |
5,492 |
['Once we know the claim that either most acts of piracy are committed in Nigerian seas, by Nigerian criminals or the claim that blood also transports the products of the urea cycle to the kidneys for removal has no merit does not correspond with reality, we also know that if many beaches are of soft, white sand and lapped by clear water, then white fluid appears after breaking the gills.', 'One may reasonably assume that if if many beaches are of soft, white sand and lapped by clear water, then white fluid appears after breaking the gills, then either tables are rows and columns of data, while a field is a discrete piece of data in a table or some pine has ages.', 'The statement, either tables are rows and columns of data, while a field is a discrete piece of data in a table or some pine has ages, does not hold.', 'It is a fact that either humans have big toes or if most acts of piracy are committed in Nigerian seas, by Nigerian criminals, then worlds have (part) oceans.', 'Some people mistakenly believe that humans have big toes.', 'Assuming it is a common misconception that if most acts of piracy are committed in Nigerian seas, by Nigerian criminals, then the claim that worlds have (part) oceans does not correspond with reality, we know that kinetic weapons are more efficient than explosives.', 'It is not the case that kinetic weapons are more efficient than explosives.']
|
Once we know the claim that either most acts of piracy are committed in Nigerian seas, by Nigerian criminals or the claim that blood also transports the products of the urea cycle to the kidneys for removal has no merit does not correspond with reality, we also know that if many beaches are of soft, white sand and lapped by clear water, then white fluid appears after breaking the gills. One may reasonably assume that if if many beaches are of soft, white sand and lapped by clear water, then white fluid appears after breaking the gills, then either tables are rows and columns of data, while a field is a discrete piece of data in a table or some pine has ages. The statement, either tables are rows and columns of data, while a field is a discrete piece of data in a table or some pine has ages, does not hold. It is a fact that either humans have big toes or if most acts of piracy are committed in Nigerian seas, by Nigerian criminals, then worlds have (part) oceans. Some people mistakenly believe that humans have big toes. Assuming it is a common misconception that if most acts of piracy are committed in Nigerian seas, by Nigerian criminals, then the claim that worlds have (part) oceans does not correspond with reality, we know that kinetic weapons are more efficient than explosives. It is not the case that kinetic weapons are more efficient than explosives.
|
The claim that blood also transports the products of the urea cycle to the kidneys for removal has no merit.
|
Blood also transports the products of the urea cycle to the kidneys for removal.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, Not (If [2], then [3].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4]. [SC1-2]
If [1], then (Not [4].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [1], then [4].).
Not [7].
Therefore, If [1], then [4]..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not [4].).).), then [8].
Not [8].
Therefore, If [1], then (Not [4].)..
|
{0: 'Blood also transports the products of the urea cycle to the kidneys for removal.', 1: 'Most acts of piracy are committed in Nigerian seas, by Nigerian criminals.', 2: 'Many beaches are of soft, white sand and lapped by clear water.', 3: 'White fluid appears after breaking the gills.', 4: 'Worlds have (part) oceans.', 5: 'Tables are rows and columns of data, while a field is a discrete piece of data in a table.', 6: 'Some pine has ages.', 7: 'Humans have big toes.', 8: 'Kinetic weapons are more efficient than explosives.'}
| 6 |
5,751 |
['Assuming some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, we know that we know that the claim that wallabies have (part) vacuoles is false.', 'On the condition that we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, it is definitely the case that caiman are nocturnal.', 'At least one of two things is true: membranes have low permeability, or garter snakes survive extreme environmental conditions.', 'The statement that states membranes have low permeability is false.', "Assuming the notion that 'if we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, then it is a common misconception that caiman are nocturnal' is untrue, we know that the notion that 'terrorism always tries to cause insecurity and restlessness in the society' is untrue.", "Given that the notion that 'if we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, then it is a common misconception that caiman are nocturnal' is untrue, it can be inferred that white cells are irregular in shape and size, but generally are larger than the red cells.", 'On the condition that white cells are irregular in shape and size, but generally are larger than the red cells, it is definitely the case that terrorism always tries to cause insecurity and restlessness in the society.']
|
Assuming some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, we know that we know that the claim that wallabies have (part) vacuoles is false. On the condition that we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, it is definitely the case that caiman are nocturnal. At least one of two things is true: membranes have low permeability, or garter snakes survive extreme environmental conditions. The statement that states membranes have low permeability is false. Assuming the notion that 'if we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, then it is a common misconception that caiman are nocturnal' is untrue, we know that the notion that 'terrorism always tries to cause insecurity and restlessness in the society' is untrue. Given that the notion that 'if we know that the claim that if garter snakes survive extreme environmental conditions, then if some people mistakenly believe that dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink, then wallabies have (part) vacuoles is false, then it is a common misconception that caiman are nocturnal' is untrue, it can be inferred that white cells are irregular in shape and size, but generally are larger than the red cells. On the condition that white cells are irregular in shape and size, but generally are larger than the red cells, it is definitely the case that terrorism always tries to cause insecurity and restlessness in the society.
|
dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink.
|
Dolphins play in oceans.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (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 [3].
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].). [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].).).), then [5]. [SC1-4]
If (Not (If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].).).), then (Not [5].).
Therefore, If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].).).), then [6].
If [6], then [5].
Therefore, If (Not (If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].).).), then [5]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [2].
Not [4].
Therefore, [2].
|
{0: 'Dolphins can be any combination of black, white, light grey, blue-grey, yellow, tan, and even pink.', 1: 'Wallabies have (part) vacuoles.', 2: 'Garter snakes survive extreme environmental conditions.', 3: 'Caiman are nocturnal.', 4: 'Membranes have low permeability.', 5: 'Terrorism always tries to cause insecurity and restlessness in the society.', 6: 'White cells are irregular in shape and size, but generally are larger than the red cells.'}
| 6 |
5,240 |
['Those that suggest mallards often use man-made nesting structures placed over water are right.', 'Assuming alcohol is a dirty drug in that it acts on many brain systems, including dopamine, we know that digestion starts when food is chewed in the mouth.', 'Many people rightly believe that alcohol is a dirty drug in that it acts on many brain systems, including dopamine.', 'Once we know lizards develop stomachs, we also know that if mallards often use man-made nesting structures placed over water, then if digestion starts when food is chewed in the mouth, then if light comes from above to touch the face and the hands as darkness gathers on the right hand side, then choughs have (part) faces.', 'It is a fact that either fruit is the part of the plant that protects seeds as they grow or either lizards develop stomachs or coots have (part) vacuoles.', "The statement 'fruit is the part of the plant that protects seeds as they grow' can be considered false.", "We know that at least one of two things is true: women are still underrepresented in the nation's legislatures, or if coots have (part) vacuoles, then if mallards often use man-made nesting structures placed over water, then if digestion starts when food is chewed in the mouth, then if light comes from above to touch the face and the hands as darkness gathers on the right hand side, then choughs have (part) faces.", "The statement that 'women are still underrepresented in the nation's legislatures' is incorrect."]
|
Those that suggest mallards often use man-made nesting structures placed over water are right. Assuming alcohol is a dirty drug in that it acts on many brain systems, including dopamine, we know that digestion starts when food is chewed in the mouth. Many people rightly believe that alcohol is a dirty drug in that it acts on many brain systems, including dopamine. Once we know lizards develop stomachs, we also know that if mallards often use man-made nesting structures placed over water, then if digestion starts when food is chewed in the mouth, then if light comes from above to touch the face and the hands as darkness gathers on the right hand side, then choughs have (part) faces. It is a fact that either fruit is the part of the plant that protects seeds as they grow or either lizards develop stomachs or coots have (part) vacuoles. The statement 'fruit is the part of the plant that protects seeds as they grow' can be considered false. We know that at least one of two things is true: women are still underrepresented in the nation's legislatures, or if coots have (part) vacuoles, then if mallards often use man-made nesting structures placed over water, then if digestion starts when food is chewed in the mouth, then if light comes from above to touch the face and the hands as darkness gathers on the right hand side, then choughs have (part) faces. The statement that 'women are still underrepresented in the nation's legislatures' is incorrect.
|
Given that light comes from above to touch the face and the hands as darkness gathers on the right hand side, it can be inferred that choughs have (part) faces.
|
Those that suggest if light comes from above to touch the face and the hands as darkness gathers on the right hand side, then choughs have (part) faces are wrong.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (If [0], then [1].).). [SC1-2]
[3]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [3], then (If [2], then (If [0], then [1].).).).
If [6], then (If [3], then (If [2], then (If [0], then [1].).).). [SC3-3]
Therefore, If [3], then (If [2], then (If [0], then [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (Either [5] or [6].).
Not [8].
Therefore, Either [5] or [6]..
[SC3-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (If [3], then (If [2], then (If [0], then [1].).).).).
Not [7].
Therefore, If [6], then (If [3], then (If [2], then (If [0], then [1].).).)..
[SC2-1]
Modus Ponens:
If [4], then [2].
[4]
Therefore, [2].
|
{0: 'Light comes from above to touch the face and the hands as darkness gathers on the right hand side.', 1: 'Choughs have (part) faces.', 2: 'Digestion starts when food is chewed in the mouth.', 3: 'Mallards often use man-made nesting structures placed over water.', 4: 'Alcohol is a dirty drug in that it acts on many brain systems, including dopamine.', 5: 'Lizards develop stomachs.', 6: 'Coots have (part) vacuoles.', 7: "Women are still underrepresented in the nation's legislatures.", 8: 'Fruit is the part of the plant that protects seeds as they grow.'}
| 6 |
5,648 |
["So long as the statement that states if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then mixture has properties is false, 'water buffalo has habits' is true.", "Assuming the statement that states if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then mixture has properties is false, we know that the claim that water buffalo has habits does not correspond with reality.", "If either badgers have sharp teeth or stress can elevate blood sugar values due to the action of various hormones, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties.", 'Once we know peaches are one of the few really seasonal fruits left, we also know that either most monkeys have hands or either badgers have sharp teeth or stress can elevate blood sugar values due to the action of various hormones.', 'The idea that peaches are one of the few really seasonal fruits left is true.', 'We know that either if medics are located in war zones, then some barren landscapes have hills or a fomite is an object.', "Provided that if medics are located in war zones, then some barren landscapes have hills, we know that if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties.", "So long as we know that the claim that if a fomite is an object, then if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties is false, 'physiological changes start to occur from the first moment of achieving orbit' is true.", "Given that we know that the claim that if a fomite is an object, then if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties is false, it can be inferred that some people mistakenly believe that physiological changes start to occur from the first moment of achieving orbit."]
|
So long as the statement that states if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then mixture has properties is false, 'water buffalo has habits' is true. Assuming the statement that states if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then mixture has properties is false, we know that the claim that water buffalo has habits does not correspond with reality. If either badgers have sharp teeth or stress can elevate blood sugar values due to the action of various hormones, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties. Once we know peaches are one of the few really seasonal fruits left, we also know that either most monkeys have hands or either badgers have sharp teeth or stress can elevate blood sugar values due to the action of various hormones. The idea that peaches are one of the few really seasonal fruits left is true. We know that either if medics are located in war zones, then some barren landscapes have hills or a fomite is an object. Provided that if medics are located in war zones, then some barren landscapes have hills, we know that if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties. So long as we know that the claim that if a fomite is an object, then if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties is false, 'physiological changes start to occur from the first moment of achieving orbit' is true. Given that we know that the claim that if a fomite is an object, then if most monkeys have hands, then if the statement 'most hedgehogs make heavy breathe noise' can be considered false, then it is not the case that mixture has properties is false, it can be inferred that some people mistakenly believe that physiological changes start to occur from the first moment of achieving orbit.
|
It is a simple truth that most hedgehogs make heavy breathe noise.
|
It is a simple truth that most hedgehogs make heavy breathe noise.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [5].
If (Not (If (Not [0].), then [1].).), then (Not [5].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If (Either [3] or [4].), then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [9], then (Either [2] or (Either [3] or [4].).).
[9]
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If [2], then (If (Not [0].), then (Not [1].).).).
If [8], then (If [2], then (If (Not [0].), then (Not [1].).).). [SC3-3]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [8], then (If [2], then (If (Not [0].), then (Not [1].).).).).), then [10].
If (Not (If [8], then (If [2], then (If (Not [0].), then (Not [1].).).).).), then (Not [10].).
Therefore, If [8], then (If [2], then (If (Not [0].), then (Not [1].).).)..
|
{0: 'Most hedgehogs make heavy breathe noise.', 1: 'Mixture has properties.', 2: 'Most monkeys have hands.', 3: 'Badgers have sharp teeth.', 4: 'Stress can elevate blood sugar values due to the action of various hormones.', 5: 'Water buffalo has habits.', 6: 'Medics are located in war zones.', 7: 'Some barren landscapes have hills.', 8: 'A fomite is an object.', 9: 'Peaches are one of the few really seasonal fruits left.', 10: 'Physiological changes start to occur from the first moment of achieving orbit.'}
| 6 |
5,886 |
['It is a fact that either toxicologists study the way in which hazards harm the body or if tech Talk is an open forum to give and receive feedback publicly, then some people experience vague abdominal pain and lose weight.', 'One may reasonably assume that if if tech Talk is an open forum to give and receive feedback publicly, then some people experience vague abdominal pain and lose weight, then fiery ginger helps to stimulate chi and tone the body.', "At least one of two things is true: either a colorist is a painter or lasers can target stain molecules without harming the inside of the tooth, or sparklers can cause injuries Use sparklers outdoors and hold at arm's length.", 'One may reasonably assume that if either a colorist is a painter or lasers can target stain molecules without harming the inside of the tooth, then either most moths have offspring or hockey pucks are sports equipment.', "So long as sparklers can cause injuries Use sparklers outdoors and hold at arm's length, 'either most moths have offspring or hockey pucks are sports equipment' is true.", 'Assuming most moths have offspring, we know that bowfins are spring spawners.', 'Given that many walls curve around edges or slope from the ceiling to floor, it can be inferred that if hockey pucks are sports equipment, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body.', 'It is the case that many walls curve around edges or slope from the ceiling to floor.', 'Once we know it is not true that if bowfins are spring spawners, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body, we also know that stalks produce alternate leaves.', 'Given that it is not true that if bowfins are spring spawners, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body, it can be inferred that we know that the claim that stalks produce alternate leaves is false.']
|
It is a fact that either toxicologists study the way in which hazards harm the body or if tech Talk is an open forum to give and receive feedback publicly, then some people experience vague abdominal pain and lose weight. One may reasonably assume that if if tech Talk is an open forum to give and receive feedback publicly, then some people experience vague abdominal pain and lose weight, then fiery ginger helps to stimulate chi and tone the body. At least one of two things is true: either a colorist is a painter or lasers can target stain molecules without harming the inside of the tooth, or sparklers can cause injuries Use sparklers outdoors and hold at arm's length. One may reasonably assume that if either a colorist is a painter or lasers can target stain molecules without harming the inside of the tooth, then either most moths have offspring or hockey pucks are sports equipment. So long as sparklers can cause injuries Use sparklers outdoors and hold at arm's length, 'either most moths have offspring or hockey pucks are sports equipment' is true. Assuming most moths have offspring, we know that bowfins are spring spawners. Given that many walls curve around edges or slope from the ceiling to floor, it can be inferred that if hockey pucks are sports equipment, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body. It is the case that many walls curve around edges or slope from the ceiling to floor. Once we know it is not true that if bowfins are spring spawners, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body, we also know that stalks produce alternate leaves. Given that it is not true that if bowfins are spring spawners, then if toxicologists study the way in which hazards harm the body, then fiery ginger helps to stimulate chi and tone the body, it can be inferred that we know that the claim that stalks produce alternate leaves is false.
|
It is fair to say that fiery ginger helps to stimulate chi and tone the body.
|
Extraembryonic membranes extend out beyond the embryo.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If [1], then [0].). [SC2-2]
If [5], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (Either [4] or [5].).
If [10], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (If [1], then [0].). [SC2-3]
Therefore, If [4], then (If [1], then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If [1], then [0].).).), then [11].
If (Not (If [6], then (If [1], then [0].).).), then (Not [11].).
Therefore, If [6], then (If [1], then [0].)..
[SC3-2]
Modus Ponens:
If [7], then (If [5], then (If [1], then [0].).).
[7]
Therefore, If [5], then (If [1], then [0].)..
|
{0: 'Fiery ginger helps to stimulate chi and tone the body.', 1: 'Toxicologists study the way in which hazards harm the body.', 2: 'Tech Talk is an open forum to give and receive feedback publicly.', 3: 'Some people experience vague abdominal pain and lose weight.', 4: 'Most moths have offspring.', 5: 'Hockey pucks are sports equipment.', 6: 'Bowfins are spring spawners.', 7: 'Many walls curve around edges or slope from the ceiling to floor.', 8: 'A colorist is a painter.', 9: 'Lasers can target stain molecules without harming the inside of the tooth.', 10: "Sparklers can cause injuries Use sparklers outdoors and hold at arm's length.", 11: 'Stalks produce alternate leaves.'}
| 6 |
5,144 |
["Either one or both of these statements are true: studs have (part) horse's feet, or some people mistakenly believe that particles are made up of quarks.", "Provided that freebies is a listing of many free things on the internet, we know that the statement that 'studs have (part) horse's feet' is incorrect.", "Given that the statement 'either freebies is a listing of many free things on the internet or magazines have articles' can be considered false, it can be inferred that wool fibres are naturally soft, springy and resilient, cool in summer and warm in winter.", "On the condition that the statement, if magazines have articles, then the statement that 'studs have (part) horse's feet' is incorrect, does not hold, it is definitely the case that it is not the case that leakage channels have the same conductance at all potentials.", 'Once we know wool fibres are naturally soft, springy and resilient, cool in summer and warm in winter, we also know that all societies have some type of ceremony to commemorate the passing of a life.', 'Those that suggest all societies have some type of ceremony to commemorate the passing of a life are wrong.', "It is rational to believe that either either builders have (part) vacuoles or accountability is an important aspect of teacher training or if the statement, if magazines have articles, then the statement that 'studs have (part) horse's feet' is incorrect, does not hold, then leakage channels have the same conductance at all potentials.", 'Some people mistakenly believe that either builders have (part) vacuoles or accountability is an important aspect of teacher training.']
|
Either one or both of these statements are true: studs have (part) horse's feet, or some people mistakenly believe that particles are made up of quarks. Provided that freebies is a listing of many free things on the internet, we know that the statement that 'studs have (part) horse's feet' is incorrect. Given that the statement 'either freebies is a listing of many free things on the internet or magazines have articles' can be considered false, it can be inferred that wool fibres are naturally soft, springy and resilient, cool in summer and warm in winter. On the condition that the statement, if magazines have articles, then the statement that 'studs have (part) horse's feet' is incorrect, does not hold, it is definitely the case that it is not the case that leakage channels have the same conductance at all potentials. Once we know wool fibres are naturally soft, springy and resilient, cool in summer and warm in winter, we also know that all societies have some type of ceremony to commemorate the passing of a life. Those that suggest all societies have some type of ceremony to commemorate the passing of a life are wrong. It is rational to believe that either either builders have (part) vacuoles or accountability is an important aspect of teacher training or if the statement, if magazines have articles, then the statement that 'studs have (part) horse's feet' is incorrect, does not hold, then leakage channels have the same conductance at all potentials. Some people mistakenly believe that either builders have (part) vacuoles or accountability is an important aspect of teacher training.
|
Some people mistakenly believe that particles are made up of quarks.
|
The statement that states particles are made up of quarks is right.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5].
Not [5]. [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Modus Tonens:
If [5], then [6].
Not [6].
Therefore, Not [5]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [1].).).), then [4]. [SC1-3]
If (Not (If [3], then (Not [1].).).), then (Not [4].).
Therefore, If [3], then (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If (Not (If [3], then (Not [1].).).), then [4].).
Not (Either [7] or [8].).
Therefore, If (Not (If [3], then (Not [1].).).), then [4]..
|
{0: 'Particles are made up of quarks.', 1: "Studs have (part) horse's feet.", 2: 'Freebies is a listing of many free things on the internet.', 3: 'Magazines have articles.', 4: 'Leakage channels have the same conductance at all potentials.', 5: 'Wool fibres are naturally soft, springy and resilient, cool in summer and warm in winter.', 6: 'All societies have some type of ceremony to commemorate the passing of a life.', 7: 'Builders have (part) vacuoles.', 8: 'Accountability is an important aspect of teacher training.'}
| 6 |
5,767 |
['On the condition that some people mistakenly believe that mothers are responsible for teaching children, it is definitely the case that mallards breed almost on every pond and river throughout Luxembourg.', 'If most countries impose no restrictions on the use of encryption by their citizens, then either easter eggs represent the beginning of life or some flu vaccines have mercury.', 'The claim that most countries impose no restrictions on the use of encryption by their citizens holds true.', 'It is a fact that either statistics show that educated persons are less likely to commit crimes or aesthetic perceptions differ from culture to culture.', "Whenever it is true that statistics show that educated persons are less likely to commit crimes, 'if easter eggs represent the beginning of life, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg' is true.", 'Should it be the case that aesthetic perceptions differ from culture to culture, it follows that if easter eggs represent the beginning of life, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg.', 'Many people rightly believe that some cells are located in mosquitoes.', 'Either if state law prohibits the sale of tobacco products to minors, then debentures are debt backed only by the general credit of the issuer or orthopractic practitioners promote the benefits of immunization.', 'Provided that if state law prohibits the sale of tobacco products to minors, then debentures are debt backed only by the general credit of the issuer, we know that if some cells are located in mosquitoes, then if some flu vaccines have mercury, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg.', 'Provided that orthopractic practitioners promote the benefits of immunization, we know that if some cells are located in mosquitoes, then if some flu vaccines have mercury, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg.']
|
On the condition that some people mistakenly believe that mothers are responsible for teaching children, it is definitely the case that mallards breed almost on every pond and river throughout Luxembourg. If most countries impose no restrictions on the use of encryption by their citizens, then either easter eggs represent the beginning of life or some flu vaccines have mercury. The claim that most countries impose no restrictions on the use of encryption by their citizens holds true. It is a fact that either statistics show that educated persons are less likely to commit crimes or aesthetic perceptions differ from culture to culture. Whenever it is true that statistics show that educated persons are less likely to commit crimes, 'if easter eggs represent the beginning of life, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg' is true. Should it be the case that aesthetic perceptions differ from culture to culture, it follows that if easter eggs represent the beginning of life, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg. Many people rightly believe that some cells are located in mosquitoes. Either if state law prohibits the sale of tobacco products to minors, then debentures are debt backed only by the general credit of the issuer or orthopractic practitioners promote the benefits of immunization. Provided that if state law prohibits the sale of tobacco products to minors, then debentures are debt backed only by the general credit of the issuer, we know that if some cells are located in mosquitoes, then if some flu vaccines have mercury, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg. Provided that orthopractic practitioners promote the benefits of immunization, we know that if some cells are located in mosquitoes, then if some flu vaccines have mercury, then it is a common misconception that mallards breed almost on every pond and river throughout Luxembourg.
|
It is reasonable to believe that mothers are responsible for teaching children.
|
Most mothers eat food.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [7], then (Either [2] or [3].).
[7]
Therefore, Either [2] or [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then (Not [1].).).
If [6], then (If [2], then (Not [1].).).
Therefore, If [2], then (Not [1].)..
[SC3-2]
Modus Ponens:
If [4], then (If [3], then (Not [1].).). [SC1-3]
[4]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If [4], then (If [3], then (Not [1].).).).
If [10], then (If [4], then (If [3], then (Not [1].).).).
Therefore, If [4], then (If [3], then (Not [1].).)..
|
{0: 'Mothers are responsible for teaching children.', 1: 'Mallards breed almost on every pond and river throughout Luxembourg.', 2: 'Easter eggs represent the beginning of life.', 3: 'Some flu vaccines have mercury.', 4: 'Some cells are located in mosquitoes.', 5: 'Statistics show that educated persons are less likely to commit crimes.', 6: 'Aesthetic perceptions differ from culture to culture.', 7: 'Most countries impose no restrictions on the use of encryption by their citizens.', 8: 'State law prohibits the sale of tobacco products to minors.', 9: 'Debentures are debt backed only by the general credit of the issuer.', 10: 'Orthopractic practitioners promote the benefits of immunization.'}
| 6 |
5,999 |
['The claim that epidemiology is the foundation of public health policy and practice is false.', 'Either aphids carry cucumber mosaic virus from infected cucumber plants to petunias or aphids are a favorite food for ladybugs.', "Whenever it is true that aphids carry cucumber mosaic virus from infected cucumber plants to petunias, 'side effects are common with antipsychotic drugs' is true.", 'Should it be the case that aphids are a favorite food for ladybugs, it follows that if latex gloves are the thin line of defense against infection, then epidemiology is the foundation of public health policy and practice.', 'It is true that most climbers use single ropes for climbing.', "There is good reason to believe that either if different batons are used by different people , for different things , then some disabilities raise issues of physical access or conscious creation is the raising of individual conscious awareness to it's greatest potential.", "Once we know if different batons are used by different people , for different things , then some disabilities raise issues of physical access, we also know that if most climbers use single ropes for climbing, then the statement that 'side effects are common with antipsychotic drugs' is incorrect.", "Provided that mountain hemlock is a long lasting wood, we know that if conscious creation is the raising of individual conscious awareness to it's greatest potential, then if most climbers use single ropes for climbing, then the statement that 'side effects are common with antipsychotic drugs' is incorrect.", "The statement 'mountain hemlock is a long lasting wood' can be considered true."]
|
The claim that epidemiology is the foundation of public health policy and practice is false. Either aphids carry cucumber mosaic virus from infected cucumber plants to petunias or aphids are a favorite food for ladybugs. Whenever it is true that aphids carry cucumber mosaic virus from infected cucumber plants to petunias, 'side effects are common with antipsychotic drugs' is true. Should it be the case that aphids are a favorite food for ladybugs, it follows that if latex gloves are the thin line of defense against infection, then epidemiology is the foundation of public health policy and practice. It is true that most climbers use single ropes for climbing. There is good reason to believe that either if different batons are used by different people , for different things , then some disabilities raise issues of physical access or conscious creation is the raising of individual conscious awareness to it's greatest potential. Once we know if different batons are used by different people , for different things , then some disabilities raise issues of physical access, we also know that if most climbers use single ropes for climbing, then the statement that 'side effects are common with antipsychotic drugs' is incorrect. Provided that mountain hemlock is a long lasting wood, we know that if conscious creation is the raising of individual conscious awareness to it's greatest potential, then if most climbers use single ropes for climbing, then the statement that 'side effects are common with antipsychotic drugs' is incorrect. The statement 'mountain hemlock is a long lasting wood' can be considered true.
|
The claim that latex gloves are the thin line of defense against infection does not correspond with reality.
|
The claim that latex gloves are the thin line of defense against infection does not correspond with reality.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then (If [0], then [1].).
Therefore, Either [2] or (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3]
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If [3], then (Not [2].).).
If [8], then (If [3], then (Not [2].).). [SC3-4]
Therefore, If [3], then (Not [2].)..
[SC3-4]
Modus Ponens:
If [9], then (If [8], then (If [3], then (Not [2].).).).
[9]
Therefore, If [8], then (If [3], then (Not [2].).)..
|
{0: 'Latex gloves are the thin line of defense against infection.', 1: 'Epidemiology is the foundation of public health policy and practice.', 2: 'Side effects are common with antipsychotic drugs.', 3: 'Most climbers use single ropes for climbing.', 4: 'Aphids carry cucumber mosaic virus from infected cucumber plants to petunias.', 5: 'Aphids are a favorite food for ladybugs.', 6: 'Different batons are used by different people , for different things .', 7: 'Some disabilities raise issues of physical access.', 8: "Conscious creation is the raising of individual conscious awareness to it's greatest potential.", 9: 'Mountain hemlock is a long lasting wood.'}
| 6 |
5,467 |
['We know that at least one of two things is true: if pretzels are metaphysical, then steroids render the playing field even less level, or if laser treatment can help restore vision impaired by diabetic retinopathy, then genes are immutable.', 'Those that suggest if pretzels are metaphysical, then steroids render the playing field even less level are wrong.', 'At least one of two things is true: liver fibrosis is oftern the forerunner of cirrhosis, or if livestock has (part) vertebrate feet, then air quality issues become concern.', 'If if livestock has (part) vertebrate feet, then air quality issues become concern, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong.', 'We know that either food affects weight or piranhas are only native to South America.', 'On the condition that food affects weight, it is definitely the case that if either sofas are used for comfort or stepmothers have (part) necks, then if liver fibrosis is oftern the forerunner of cirrhosis, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong.', 'Should it be the case that piranhas are only native to South America, it follows that if either sofas are used for comfort or stepmothers have (part) necks, then if liver fibrosis is oftern the forerunner of cirrhosis, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong.', 'Given that agriculture accounts for about one-third of the national income, it can be inferred that either sofas are used for comfort or stepmothers have (part) necks.', 'It is fair to say that agriculture accounts for about one-third of the national income.']
|
We know that at least one of two things is true: if pretzels are metaphysical, then steroids render the playing field even less level, or if laser treatment can help restore vision impaired by diabetic retinopathy, then genes are immutable. Those that suggest if pretzels are metaphysical, then steroids render the playing field even less level are wrong. At least one of two things is true: liver fibrosis is oftern the forerunner of cirrhosis, or if livestock has (part) vertebrate feet, then air quality issues become concern. If if livestock has (part) vertebrate feet, then air quality issues become concern, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong. We know that either food affects weight or piranhas are only native to South America. On the condition that food affects weight, it is definitely the case that if either sofas are used for comfort or stepmothers have (part) necks, then if liver fibrosis is oftern the forerunner of cirrhosis, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong. Should it be the case that piranhas are only native to South America, it follows that if either sofas are used for comfort or stepmothers have (part) necks, then if liver fibrosis is oftern the forerunner of cirrhosis, then if laser treatment can help restore vision impaired by diabetic retinopathy, then those that suggest genes are immutable are wrong. Given that agriculture accounts for about one-third of the national income, it can be inferred that either sofas are used for comfort or stepmothers have (part) necks. It is fair to say that agriculture accounts for about one-third of the national income.
|
The claim that laser treatment can help restore vision impaired by diabetic retinopathy does not correspond with reality.
|
It is not the case that laser treatments are common and often can lower pressure in the eyes.
|
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 (If [5], then [6].) or (If [0], then [1].).
Not (If [5], then [6].).
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (If [0], then (Not [1].).). [SC2-2]
If (If [3], then [4].), then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If (Either [7] or [8].), then (If [2], then (If [0], then (Not [1].).).). [SC1-3]
Either [7] or [8]. [SC2-3]
Therefore, If [2], then (If [0], then (Not [1].).)..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Either [7] or [8].), then (If [2], then (If [0], then (Not [1].).).).).
If [10], then (If (Either [7] or [8].), then (If [2], then (If [0], then (Not [1].).).).).
Therefore, If (Either [7] or [8].), then (If [2], then (If [0], then (Not [1].).).)..
[SC2-3]
Modus Ponens:
If [11], then (Either [7] or [8].).
[11]
Therefore, Either [7] or [8]..
|
{0: 'Laser treatment can help restore vision impaired by diabetic retinopathy.', 1: 'Genes are immutable.', 2: 'Liver fibrosis is oftern the forerunner of cirrhosis.', 3: 'Livestock has (part) vertebrate feet.', 4: 'Air quality issues become concern.', 5: 'Pretzels are metaphysical.', 6: 'Steroids render the playing field even less level.', 7: 'Sofas are used for comfort.', 8: 'Stepmothers have (part) necks.', 9: 'Food affects weight.', 10: 'Piranhas are only native to South America.', 11: 'Agriculture accounts for about one-third of the national income.'}
| 6 |
5,315 |
["So long as the statement that states fertile habitats consist of decompose plant materials is false, 'the claim that metrics are any method used in measurement has no merit' is true.", "The statement 'red algae colors the lake shore' is true.", 'Provided that we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, we know that the statement, urine infections are more common in uncircumcised boys than circumcised boys, does not hold.', "So long as disjunction is separation, 'if red algae colors the lake shore, then if the statement that states fertile habitats consist of decompose plant materials is false, then cockpits are compartments' is true.", 'It is reasonable to believe that disjunction is separation.', 'One may reasonably assume that if the claim that if we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, then urine infections are more common in uncircumcised boys than circumcised boys does not correspond with reality, then procrastination can also result from neurological damage or deficiencies.', "Whenever it is true that the claim that if we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, then urine infections are more common in uncircumcised boys than circumcised boys does not correspond with reality, 'the statement that states procrastination can also result from neurological damage or deficiencies is false' is true."]
|
So long as the statement that states fertile habitats consist of decompose plant materials is false, 'the claim that metrics are any method used in measurement has no merit' is true. The statement 'red algae colors the lake shore' is true. Provided that we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, we know that the statement, urine infections are more common in uncircumcised boys than circumcised boys, does not hold. So long as disjunction is separation, 'if red algae colors the lake shore, then if the statement that states fertile habitats consist of decompose plant materials is false, then cockpits are compartments' is true. It is reasonable to believe that disjunction is separation. One may reasonably assume that if the claim that if we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, then urine infections are more common in uncircumcised boys than circumcised boys does not correspond with reality, then procrastination can also result from neurological damage or deficiencies. Whenever it is true that the claim that if we know that the claim that if cockpits are compartments, then metrics are any method used in measurement is false, then urine infections are more common in uncircumcised boys than circumcised boys does not correspond with reality, 'the statement that states procrastination can also result from neurological damage or deficiencies is false' is true.
|
The claim that fertile habitats consist of decompose plant materials holds true.
|
The claim that fertile habitats consist of decompose plant materials holds true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [3], then (If (Not [0].), then [2].). [SC1-3]
[3]
Therefore, If (Not [0].), then [2]..
[SC1-3]
Modus Ponens:
If [5], then (If [3], then (If (Not [0].), then [2].).).
[5]
Therefore, If [3], then (If (Not [0].), then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [4]. [SC1-3]
If (Not (If [2], then [1].).), then (Not [4].).
Therefore, If [2], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [1].).), then [4].).), then [6].
If (Not (If (Not (If [2], then [1].).), then [4].).), then (Not [6].).
Therefore, If (Not (If [2], then [1].).), then [4]..
|
{0: 'Fertile habitats consist of decompose plant materials.', 1: 'Metrics are any method used in measurement.', 2: 'Cockpits are compartments.', 3: 'Red algae colors the lake shore.', 4: 'Urine infections are more common in uncircumcised boys than circumcised boys.', 5: 'Disjunction is separation.', 6: 'Procrastination can also result from neurological damage or deficiencies.'}
| 6 |
5,989 |
['The claim that ponds have oxygen has no merit.', "If the statement that states either either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history or either ponds have oxygen or light emits heat energy is false, then either sportsmanships are fairness or migraine sufferers are familiar with the array of drugs available to fight their attacks.", "There is good reason to believe that either most obese people have cortisol excretion or the claim that either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history does not reflect reality.", "The statement 'most obese people have cortisol excretion' can be considered false.", 'The statement that states depression is a common mental health problem among older adults is false.', "Provided that if zinc deficiency can reduce appetite, and so can some wasting diseases, such as cancer, then women still tend to work in a more limited range of occupations than men, we know that either depression is a common mental health problem among older adults or if the statement that states either either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history or either ponds have oxygen or light emits heat energy is false, then we know that the claim that either sportsmanships are fairness or migraine sufferers are familiar with the array of drugs available to fight their attacks is false.", 'If zinc deficiency can reduce appetite, and so can some wasting diseases, such as cancer, then women still tend to work in a more limited range of occupations than men.']
|
The claim that ponds have oxygen has no merit. If the statement that states either either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history or either ponds have oxygen or light emits heat energy is false, then either sportsmanships are fairness or migraine sufferers are familiar with the array of drugs available to fight their attacks. There is good reason to believe that either most obese people have cortisol excretion or the claim that either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history does not reflect reality. The statement 'most obese people have cortisol excretion' can be considered false. The statement that states depression is a common mental health problem among older adults is false. Provided that if zinc deficiency can reduce appetite, and so can some wasting diseases, such as cancer, then women still tend to work in a more limited range of occupations than men, we know that either depression is a common mental health problem among older adults or if the statement that states either either single parent is the sole responsible care giver of a child or credit scoring applies a mathematical formula to a consumer's credit history or either ponds have oxygen or light emits heat energy is false, then we know that the claim that either sportsmanships are fairness or migraine sufferers are familiar with the array of drugs available to fight their attacks is false. If zinc deficiency can reduce appetite, and so can some wasting diseases, such as cancer, then women still tend to work in a more limited range of occupations than men.
|
It is rational to agree that light emits heat energy.
|
Light can cause chemical changes, as seen when plants use light to grow.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Either [1] or [0].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Either [5] or [6].).
If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, Either (Either [2] or [3].) or (Either [1] or [0].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (Either [5] or [6].).).). [SC1-4]
Not [7].
Therefore, If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (Either [5] or [6].).)..
[SC1-4]
Modus Ponens:
If (If [8], then [9].), then (Either [7] or (If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (Either [5] or [6].).).).).
If [8], then [9].
Therefore, Either [7] or (If (Not (Either (Either [2] or [3].) or (Either [1] or [0].).).), then (Not (Either [5] or [6].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not (Either [2] or [3].).).
Not [4].
Therefore, Not (Either [2] or [3].)..
|
{0: 'Light emits heat energy.', 1: 'Ponds have oxygen.', 2: 'Single parent is the sole responsible care giver of a child.', 3: "Credit scoring applies a mathematical formula to a consumer's credit history.", 4: 'Most obese people have cortisol excretion.', 5: 'Sportsmanships are fairness.', 6: 'Migraine sufferers are familiar with the array of drugs available to fight their attacks.', 7: 'Depression is a common mental health problem among older adults.', 8: 'Zinc deficiency can reduce appetite, and so can some wasting diseases, such as cancer.', 9: 'Women still tend to work in a more limited range of occupations than men.'}
| 6 |
5,922 |
['Provided that the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then some blossoms are part of snowdrops has no merit, we know that background radiation comes primarily from the sun and naturally ocurring radioactive elements.', 'When the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then some blossoms are part of snowdrops has no merit is true, it follows that the claim that background radiation comes primarily from the sun and naturally ocurring radioactive elements has no merit.', 'It is not the case that flatworms are in the phylum .', 'It is rational to believe that either either images have details or power is at the root of the human experience or if financial aid is money that is available to assist students with the cost of attending college, then thin atmospheres contain nitrogen.', 'On the condition that either images have details or power is at the root of the human experience, it is definitely the case that most kingfishers eat prey.', "So long as if financial aid is money that is available to assist students with the cost of attending college, then thin atmospheres contain nitrogen, 'if we know that the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then the notion that 'some blossoms are part of snowdrops' is untrue is false, then flatworms are in the phylum ' is true.", 'One may reasonably assume that if most kingfishers eat prey, then potassium is found in seawater, but in relatively small amounts compared to sodium.', 'Those that suggest potassium is found in seawater, but in relatively small amounts compared to sodium are wrong.']
|
Provided that the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then some blossoms are part of snowdrops has no merit, we know that background radiation comes primarily from the sun and naturally ocurring radioactive elements. When the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then some blossoms are part of snowdrops has no merit is true, it follows that the claim that background radiation comes primarily from the sun and naturally ocurring radioactive elements has no merit. It is not the case that flatworms are in the phylum . It is rational to believe that either either images have details or power is at the root of the human experience or if financial aid is money that is available to assist students with the cost of attending college, then thin atmospheres contain nitrogen. On the condition that either images have details or power is at the root of the human experience, it is definitely the case that most kingfishers eat prey. So long as if financial aid is money that is available to assist students with the cost of attending college, then thin atmospheres contain nitrogen, 'if we know that the claim that if the statement, some places have large numbers of people but low per capita GNPs, does not hold, then the notion that 'some blossoms are part of snowdrops' is untrue is false, then flatworms are in the phylum ' is true. One may reasonably assume that if most kingfishers eat prey, then potassium is found in seawater, but in relatively small amounts compared to sodium. Those that suggest potassium is found in seawater, but in relatively small amounts compared to sodium are wrong.
|
It is true that some places have large numbers of people but low per capita GNPs.
|
It is true that some places have large numbers of people but low per capita GNPs.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [3].
If (Not (If (Not [0].), then [1].).), then (Not [3].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Constructive Dilemma:
Either (Either [6] or [7].) or (If [8], then [9].).
If (Either [6] or [7].), then [4].
If (If [8], then [9].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).
Therefore, Either [4] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].)..
[SC2-3]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Some places have large numbers of people but low per capita GNPs.', 1: 'Some blossoms are part of snowdrops.', 2: 'Flatworms are in the phylum .', 3: 'Background radiation comes primarily from the sun and naturally ocurring radioactive elements.', 4: 'Most kingfishers eat prey.', 5: 'Potassium is found in seawater, but in relatively small amounts compared to sodium.', 6: 'Images have details.', 7: 'Power is at the root of the human experience.', 8: 'Financial aid is money that is available to assist students with the cost of attending college.', 9: 'Thin atmospheres contain nitrogen.'}
| 6 |
5,717 |
["Should it be the case that some people mistakenly believe that if the statement 'buffers are compounds' can be considered false, then healthy people have a surplus of platelets, it follows that either some arthropods occur in soil or assignments include explanations.", "The notion that 'either some arthropods occur in soil or assignments include explanations' is untrue.", 'At least one of two things is true: turtles often cross roads near wetlands looking for an upland site to bury their eggs, or treatment of wastewater reduces both pollutants in nature and the risk for waterborne diseases.', "Should it be the case that treatment of wastewater reduces both pollutants in nature and the risk for waterborne diseases, it follows that if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false.", "On the condition that the notion that 'if turtles often cross roads near wetlands looking for an upland site to bury their eggs, then if a public holiday is a holiday, then barium is metal' is untrue, it is definitely the case that most environments affect breathe patterns.", "Assuming the notion that 'if turtles often cross roads near wetlands looking for an upland site to bury their eggs, then if a public holiday is a holiday, then barium is metal' is untrue, we know that the statement that states most environments affect breathe patterns is false.", 'Either kapok is a fluffy fiber from the seed pod of the rainforest kapok tree or plants produce pollen.', "On the condition that kapok is a fluffy fiber from the seed pod of the rainforest kapok tree, it is definitely the case that if if a public holiday is a holiday, then barium is metal, then if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false.", "So long as plants produce pollen, 'if if a public holiday is a holiday, then barium is metal, then if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false' is true."]
|
Should it be the case that some people mistakenly believe that if the statement 'buffers are compounds' can be considered false, then healthy people have a surplus of platelets, it follows that either some arthropods occur in soil or assignments include explanations. The notion that 'either some arthropods occur in soil or assignments include explanations' is untrue. At least one of two things is true: turtles often cross roads near wetlands looking for an upland site to bury their eggs, or treatment of wastewater reduces both pollutants in nature and the risk for waterborne diseases. Should it be the case that treatment of wastewater reduces both pollutants in nature and the risk for waterborne diseases, it follows that if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false. On the condition that the notion that 'if turtles often cross roads near wetlands looking for an upland site to bury their eggs, then if a public holiday is a holiday, then barium is metal' is untrue, it is definitely the case that most environments affect breathe patterns. Assuming the notion that 'if turtles often cross roads near wetlands looking for an upland site to bury their eggs, then if a public holiday is a holiday, then barium is metal' is untrue, we know that the statement that states most environments affect breathe patterns is false. Either kapok is a fluffy fiber from the seed pod of the rainforest kapok tree or plants produce pollen. On the condition that kapok is a fluffy fiber from the seed pod of the rainforest kapok tree, it is definitely the case that if if a public holiday is a holiday, then barium is metal, then if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false. So long as plants produce pollen, 'if if a public holiday is a holiday, then barium is metal, then if the statement 'buffers are compounds' can be considered false, then the claim that healthy people have a surplus of platelets is false' is true.
|
The claim that buffers are compounds is true.
|
The claim that buffers are compounds does not reflect reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [3], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Hypothetical Syllogism:
If [2], then (If [6], then [7].). [SC1-3]
If (If [6], then [7].), then (If (Not [0].), then (Not [1].).). [SC2-3]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [2], then (If [6], then [7].).).), then [10].
If (Not (If [2], then (If [6], then [7].).).), then (Not [10].).
Therefore, If [2], then (If [6], then [7].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (If [6], then [7].), then (If (Not [0].), then (Not [1].).).).
If [9], then (If (If [6], then [7].), then (If (Not [0].), then (Not [1].).).).
Therefore, If (If [6], then [7].), then (If (Not [0].), then (Not [1].).)..
|
{0: 'Buffers are compounds.', 1: 'Healthy people have a surplus of platelets.', 2: 'Turtles often cross roads near wetlands looking for an upland site to bury their eggs.', 3: 'Treatment of wastewater reduces both pollutants in nature and the risk for waterborne diseases.', 4: 'Some arthropods occur in soil.', 5: 'Assignments include explanations.', 6: 'A public holiday is a holiday.', 7: 'Barium is metal.', 8: 'Kapok is a fluffy fiber from the seed pod of the rainforest kapok tree.', 9: 'Plants produce pollen.', 10: 'Most environments affect breathe patterns.'}
| 6 |
5,458 |
['At least one of two things is true: if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, or if some therapsids have ability, then authors describe origins.', "So long as dopamine affects dreams , motivation , and sexual gratification , too , 'if if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, then either rays affect atmospheres or employers are responsible for what happens in the workplace' is true.", 'We know that either pigmentation changes are the most undesirable side effect of dermabrasion or if if some therapsids have ability, then authors describe origins, then either rays affect atmospheres or employers are responsible for what happens in the workplace.', 'Those that suggest pigmentation changes are the most undesirable side effect of dermabrasion are wrong.', 'Either one or both of these statements are true: leaves emerge from buds, or either semiconductors are an important class of materials widely used in the modern electronics or dopamine affects dreams , motivation , and sexual gratification , too .', 'On the condition that water molecules are water, it is definitely the case that if semiconductors are an important class of materials widely used in the modern electronics, then if if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, then either rays affect atmospheres or employers are responsible for what happens in the workplace.', 'We can assume that water molecules are water.', "If most sources recommend that carnivorous plant bogs be watered with rain or distilled water, then the notion that 'leaves emerge from buds' is untrue.", 'We can assume that most sources recommend that carnivorous plant bogs be watered with rain or distilled water.']
|
At least one of two things is true: if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, or if some therapsids have ability, then authors describe origins. So long as dopamine affects dreams , motivation , and sexual gratification , too , 'if if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, then either rays affect atmospheres or employers are responsible for what happens in the workplace' is true. We know that either pigmentation changes are the most undesirable side effect of dermabrasion or if if some therapsids have ability, then authors describe origins, then either rays affect atmospheres or employers are responsible for what happens in the workplace. Those that suggest pigmentation changes are the most undesirable side effect of dermabrasion are wrong. Either one or both of these statements are true: leaves emerge from buds, or either semiconductors are an important class of materials widely used in the modern electronics or dopamine affects dreams , motivation , and sexual gratification , too . On the condition that water molecules are water, it is definitely the case that if semiconductors are an important class of materials widely used in the modern electronics, then if if mumps is spread by respiratory secretions, with increased incidence in the spring, then bacterial inoculants are probably the most common additives in the United States, then either rays affect atmospheres or employers are responsible for what happens in the workplace. We can assume that water molecules are water. If most sources recommend that carnivorous plant bogs be watered with rain or distilled water, then the notion that 'leaves emerge from buds' is untrue. We can assume that most sources recommend that carnivorous plant bogs be watered with rain or distilled water.
|
It is a fact that either rays affect atmospheres or employers are responsible for what happens in the workplace.
|
At least one of two things is true: some rays have teeth, or some employers also permit individuals to make cash withdrawals while they are still employed.
|
Uncertain
|
Disjunction Elimination:
Either (If [2], then [3].) or (If [4], then [5].).
If (If [2], then [3].), then (Either [0] or [1].). [SC2-1]
If (If [4], then [5].), then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunction Elimination:
Either [7] or [8]. [SC1-2]
If [7], then (If (If [2], then [3].), then (Either [0] or [1].).). [SC2-2]
If [8], then (If (If [2], then [3].), then (Either [0] or [1].).).
Therefore, If (If [2], then [3].), then (Either [0] or [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [10] or (Either [7] or [8].).
Not [10]. [SC2-3]
Therefore, Either [7] or [8]..
[SC2-3]
Modus Ponens:
If [11], then (Not [10].).
[11]
Therefore, Not [10]..
[SC2-2]
Modus Ponens:
If [9], then (If [7], then (If (If [2], then [3].), then (Either [0] or [1].).).).
[9]
Therefore, If [7], then (If (If [2], then [3].), then (Either [0] or [1].).)..
[SC3-1]
Disjunctive Syllogism:
Either [6] or (If (If [4], then [5].), then (Either [0] or [1].).).
Not [6].
Therefore, If (If [4], then [5].), then (Either [0] or [1].)..
|
{0: 'Rays affect atmospheres.', 1: 'Employers are responsible for what happens in the workplace.', 2: 'Mumps is spread by respiratory secretions, with increased incidence in the spring.', 3: 'Bacterial inoculants are probably the most common additives in the United States.', 4: 'Some therapsids have ability.', 5: 'Authors describe origins.', 6: 'Pigmentation changes are the most undesirable side effect of dermabrasion.', 7: 'Semiconductors are an important class of materials widely used in the modern electronics.', 8: 'Dopamine affects dreams , motivation , and sexual gratification , too .', 9: 'Water molecules are water.', 10: 'Leaves emerge from buds.', 11: 'Most sources recommend that carnivorous plant bogs be watered with rain or distilled water.'}
| 6 |
5,773 |
['The claim that a sclerotinia is a fungus has no merit.', 'If herbal medications can induce reactions, then either mikes are nuts or if either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal, then a sclerotinia is a fungus.', "So long as some rotifers emerge from dormancy, 'either mikes are nuts or if either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal, then a sclerotinia is a fungus' is true.", 'The statement, either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour, does not hold.', 'At least one of two things is true: plantains tolerate constant disturbance such as mowing and trampling, or whales feed on small animals.', "Whenever it is true that plantains tolerate constant disturbance such as mowing and trampling, 'herbal medications can induce reactions' is true.", 'One may reasonably assume that if whales feed on small animals, then some rotifers emerge from dormancy.', 'We know that either trees provide a myriad of economic and environmental benefits to our communities or earth blocks sunlight from reaching the Moon.', "So long as trees provide a myriad of economic and environmental benefits to our communities, 'either either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour or those that suggest mikes are nuts are wrong' is true.", 'Assuming earth blocks sunlight from reaching the Moon, we know that either either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour or those that suggest mikes are nuts are wrong.']
|
The claim that a sclerotinia is a fungus has no merit. If herbal medications can induce reactions, then either mikes are nuts or if either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal, then a sclerotinia is a fungus. So long as some rotifers emerge from dormancy, 'either mikes are nuts or if either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal, then a sclerotinia is a fungus' is true. The statement, either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour, does not hold. At least one of two things is true: plantains tolerate constant disturbance such as mowing and trampling, or whales feed on small animals. Whenever it is true that plantains tolerate constant disturbance such as mowing and trampling, 'herbal medications can induce reactions' is true. One may reasonably assume that if whales feed on small animals, then some rotifers emerge from dormancy. We know that either trees provide a myriad of economic and environmental benefits to our communities or earth blocks sunlight from reaching the Moon. So long as trees provide a myriad of economic and environmental benefits to our communities, 'either either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour or those that suggest mikes are nuts are wrong' is true. Assuming earth blocks sunlight from reaching the Moon, we know that either either every skin is different and is exposed to different conditions, such as the environment and climate or information exists in the world with or without behaviour or those that suggest mikes are nuts are wrong.
|
Those that suggest either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal are wrong.
|
Those that suggest either cars also contribute to ground level ozone known as smog or esthetics are very important in snow removal are wrong.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [0] or [1].), then [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Either [3] or (If (Either [0] or [1].), then [2].).).
If [5], then (Either [3] or (If (Either [0] or [1].), then [2].).).
Therefore, Either [3] or (If (Either [0] or [1].), then [2].)..
[SC1-3]
Constructive Dilemma:
Either [10] or [11].
If [10], then [4].
If [11], then [5].
Therefore, Either [4] or [5]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not [3].). [SC1-3]
Not (Either [6] or [7].).
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either (Either [6] or [7].) or (Not [3].).).
If [9], then (Either (Either [6] or [7].) or (Not [3].).).
Therefore, Either (Either [6] or [7].) or (Not [3].)..
|
{0: 'Cars also contribute to ground level ozone known as smog.', 1: 'Esthetics are very important in snow removal.', 2: 'A sclerotinia is a fungus.', 3: 'Mikes are nuts.', 4: 'Herbal medications can induce reactions.', 5: 'Some rotifers emerge from dormancy.', 6: 'Every skin is different and is exposed to different conditions, such as the environment and climate.', 7: 'Information exists in the world with or without behaviour.', 8: 'Trees provide a myriad of economic and environmental benefits to our communities.', 9: 'Earth blocks sunlight from reaching the Moon.', 10: 'Plantains tolerate constant disturbance such as mowing and trampling.', 11: 'Whales feed on small animals.'}
| 6 |
5,204 |
['It is rational to believe that either hot food can irritate soreness or puerperal fever is relatively rare today.', "So long as hot food can irritate soreness, 'either some edible fruit grows in areas or some infants become mothers' is true.", 'Given that puerperal fever is relatively rare today, it can be inferred that either some edible fruit grows in areas or some infants become mothers.', 'At least one of two things is true: km isa unit, or if some edible fruit grows in areas, then most Greyhounds can learn to live with cats as well.', 'It is a common misconception that km isa unit.', 'If it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then plants are tolerant of restricted soil space.', 'Either smallmouth bass provide quality fishing when action is slow for other species or home schooling promotes greater responsibility by the parents for the development of the children.', 'On the condition that home schooling promotes greater responsibility by the parents for the development of the children, it is definitely the case that if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold.', 'Given that the claim that if smallmouth bass provide quality fishing when action is slow for other species, then if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold does not correspond with reality, it can be inferred that death is the absence of any and all energies.', "If the claim that if smallmouth bass provide quality fishing when action is slow for other species, then if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold does not correspond with reality, then the notion that 'death is the absence of any and all energies' is untrue."]
|
It is rational to believe that either hot food can irritate soreness or puerperal fever is relatively rare today. So long as hot food can irritate soreness, 'either some edible fruit grows in areas or some infants become mothers' is true. Given that puerperal fever is relatively rare today, it can be inferred that either some edible fruit grows in areas or some infants become mothers. At least one of two things is true: km isa unit, or if some edible fruit grows in areas, then most Greyhounds can learn to live with cats as well. It is a common misconception that km isa unit. If it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then plants are tolerant of restricted soil space. Either smallmouth bass provide quality fishing when action is slow for other species or home schooling promotes greater responsibility by the parents for the development of the children. On the condition that home schooling promotes greater responsibility by the parents for the development of the children, it is definitely the case that if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold. Given that the claim that if smallmouth bass provide quality fishing when action is slow for other species, then if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold does not correspond with reality, it can be inferred that death is the absence of any and all energies. If the claim that if smallmouth bass provide quality fishing when action is slow for other species, then if it is a common misconception that if some infants become mothers, then most Greyhounds can learn to live with cats as well, then the statement, plants are tolerant of restricted soil space, does not hold does not correspond with reality, then the notion that 'death is the absence of any and all energies' is untrue.
|
The claim that most Greyhounds can learn to live with cats as well holds true.
|
Greyhounds are friendly by nature and socialize well.
|
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 [5] or [6].
If [5], then (Either [1] or [2].).
If [6], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3].
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [4].
If (Not (If [2], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If [2], then [0].).), then (Not [4].).). [SC2-3]
If [8], then (If (Not (If [2], then [0].).), then (Not [4].).).
Therefore, If (Not (If [2], then [0].).), then (Not [4].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Not (If [2], then [0].).), then (Not [4].).).).), then [9].
If (Not (If [7], then (If (Not (If [2], then [0].).), then (Not [4].).).).), then (Not [9].).
Therefore, If [7], then (If (Not (If [2], then [0].).), then (Not [4].).)..
|
{0: 'Most Greyhounds can learn to live with cats as well.', 1: 'Some edible fruit grows in areas.', 2: 'Some infants become mothers.', 3: 'Km isa unit.', 4: 'Plants are tolerant of restricted soil space.', 5: 'Hot food can irritate soreness.', 6: 'Puerperal fever is relatively rare today.', 7: 'Smallmouth bass provide quality fishing when action is slow for other species.', 8: 'Home schooling promotes greater responsibility by the parents for the development of the children.', 9: 'Death is the absence of any and all energies.'}
| 6 |
5,834 |
['One may reasonably assume that if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then the claim that reptiles have noses is false.', "The statement 'most chimpanzees eat bananas' can be considered true.", 'We know that either wetlands Help preserve wetlands or either indignation is regarded as appropriate, controlled, positive type of anger or most men generally keep the same bathing suit for an extended period of time.', 'Assuming wetlands Help preserve wetlands, we know that if it is not true that if most chimpanzees eat bananas, then if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then reptiles have noses, then colour of skin is controlled by genes.', 'Assuming either indignation is regarded as appropriate, controlled, positive type of anger or most men generally keep the same bathing suit for an extended period of time, we know that if it is not true that if most chimpanzees eat bananas, then if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then reptiles have noses, then colour of skin is controlled by genes.', "Either one or both of these statements are true: echidnas have limbs, or the statement that 'colour of skin is controlled by genes' is incorrect.", 'On the condition that echidnas have limbs, it is definitely the case that either time trials are often a part of a stage race , for example the Tour de France or fluorescence microscopy is a major asset to clinical and research laboratories.', "The notion that 'either time trials are often a part of a stage race , for example the Tour de France or fluorescence microscopy is a major asset to clinical and research laboratories' is untrue."]
|
One may reasonably assume that if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then the claim that reptiles have noses is false. The statement 'most chimpanzees eat bananas' can be considered true. We know that either wetlands Help preserve wetlands or either indignation is regarded as appropriate, controlled, positive type of anger or most men generally keep the same bathing suit for an extended period of time. Assuming wetlands Help preserve wetlands, we know that if it is not true that if most chimpanzees eat bananas, then if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then reptiles have noses, then colour of skin is controlled by genes. Assuming either indignation is regarded as appropriate, controlled, positive type of anger or most men generally keep the same bathing suit for an extended period of time, we know that if it is not true that if most chimpanzees eat bananas, then if most consumers probably use astragalus to prevent and treat colds and other minor diseases, then reptiles have noses, then colour of skin is controlled by genes. Either one or both of these statements are true: echidnas have limbs, or the statement that 'colour of skin is controlled by genes' is incorrect. On the condition that echidnas have limbs, it is definitely the case that either time trials are often a part of a stage race , for example the Tour de France or fluorescence microscopy is a major asset to clinical and research laboratories. The notion that 'either time trials are often a part of a stage race , for example the Tour de France or fluorescence microscopy is a major asset to clinical and research laboratories' is untrue.
|
The claim that most consumers probably use astragalus to prevent and treat colds and other minor diseases does not correspond with reality.
|
It is not the case that consumers get their energy and materials by eating other organisms.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-2]
[2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If [2], then (If [0], then [1].).).), then [3].).
If (Either [6] or [7].), then (If (Not (If [2], then (If [0], then [1].).).), then [3].).
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC2-4]
Modus Tonens:
If [4], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [4]..
|
{0: 'Most consumers probably use astragalus to prevent and treat colds and other minor diseases.', 1: 'Reptiles have noses.', 2: 'Most chimpanzees eat bananas.', 3: 'Colour of skin is controlled by genes.', 4: 'Echidnas have limbs.', 5: 'Wetlands Help preserve wetlands.', 6: 'Indignation is regarded as appropriate, controlled, positive type of anger.', 7: 'Most men generally keep the same bathing suit for an extended period of time.', 8: 'Time trials are often a part of a stage race , for example the Tour de France .', 9: 'Fluorescence microscopy is a major asset to clinical and research laboratories.'}
| 6 |
5,832 |
["If some people mistakenly believe that if it is not the case that some families possess pups, then chambers provide shelter, then the statement that 'if asses have (part) cytoplasm, then some industries create countries' is incorrect.", "So long as we know that the claim that if it is not the case that some families possess pups, then the statement 'chambers provide shelter' can be considered false is false, 'we know that the claim that tea contains vitamins, tea derivatives, essential oils, and fluoride is false' is true.", "So long as if organized religion is located in churchs, then wild horses eat diets, 'if some people mistakenly believe that if it is not the case that some families possess pups, then chambers provide shelter, then if asses have (part) cytoplasm, then some industries create countries' is true.", 'On the condition that organized religion is located in churchs, it is definitely the case that wild horses eat diets.', "One may reasonably assume that if we know that the claim that if it is not the case that some families possess pups, then the statement 'chambers provide shelter' can be considered false is false, then services improve quality.", 'It is rational to believe that either salmon have skin color or if services improve quality, then tea contains vitamins, tea derivatives, essential oils, and fluoride.', "The statement 'salmon have skin color' can be considered false."]
|
If some people mistakenly believe that if it is not the case that some families possess pups, then chambers provide shelter, then the statement that 'if asses have (part) cytoplasm, then some industries create countries' is incorrect. So long as we know that the claim that if it is not the case that some families possess pups, then the statement 'chambers provide shelter' can be considered false is false, 'we know that the claim that tea contains vitamins, tea derivatives, essential oils, and fluoride is false' is true. So long as if organized religion is located in churchs, then wild horses eat diets, 'if some people mistakenly believe that if it is not the case that some families possess pups, then chambers provide shelter, then if asses have (part) cytoplasm, then some industries create countries' is true. On the condition that organized religion is located in churchs, it is definitely the case that wild horses eat diets. One may reasonably assume that if we know that the claim that if it is not the case that some families possess pups, then the statement 'chambers provide shelter' can be considered false is false, then services improve quality. It is rational to believe that either salmon have skin color or if services improve quality, then tea contains vitamins, tea derivatives, essential oils, and fluoride. The statement 'salmon have skin color' can be considered false.
|
It is a simple truth that some families possess pups.
|
The statement that 'some families possess pups' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then (If [2], then [3].). [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not (If [2], then [3].).).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If (If [6], then [7].), then (If (Not (If (Not [0].), then [1].).), then (If [2], then [3].).).
If [6], then [7].
Therefore, If (Not (If (Not [0].), then [1].).), then (If [2], then [3].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [4]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [4].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [5].
If [5], then [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (If [5], then [4].).
Not [8].
Therefore, If [5], then [4]..
|
{0: 'Some families possess pups.', 1: 'Chambers provide shelter.', 2: 'Asses have (part) cytoplasm.', 3: 'Some industries create countries.', 4: 'Tea contains vitamins, tea derivatives, essential oils, and fluoride.', 5: 'Services improve quality.', 6: 'Organized religion is located in churchs.', 7: 'Wild horses eat diets.', 8: 'Salmon have skin color.'}
| 6 |
5,435 |
['On the condition that complexity theory explains how a small change affects all parts of the system, it is definitely the case that rivers sometimes have dams to hold the water for people to drink, or to make electricity.', 'Assuming kidney stones occur when calcium crystals build up inside the kidney, we know that rocks exhibit a variety of properties including shape, size, color, and texture.', 'Should it be the case that rocks exhibit a variety of properties including shape, size, color, and texture, it follows that some molds produce compounds that can make even the non-allergic ill.', 'On the condition that the statement, if some molds produce compounds that can make even the non-allergic ill, then complexity theory explains how a small change affects all parts of the system, does not hold, it is definitely the case that stock solutions are solutions which contain only a single buffer system or chemical.', 'The statement, stock solutions are solutions which contain only a single buffer system or chemical, does not hold.', 'It is rational to believe that either turtles have (part) ears or if rivers sometimes have dams to hold the water for people to drink, or to make electricity, then poor people are willing and able to borrow at market rates.', 'The statement that states turtles have (part) ears is false.']
|
On the condition that complexity theory explains how a small change affects all parts of the system, it is definitely the case that rivers sometimes have dams to hold the water for people to drink, or to make electricity. Assuming kidney stones occur when calcium crystals build up inside the kidney, we know that rocks exhibit a variety of properties including shape, size, color, and texture. Should it be the case that rocks exhibit a variety of properties including shape, size, color, and texture, it follows that some molds produce compounds that can make even the non-allergic ill. On the condition that the statement, if some molds produce compounds that can make even the non-allergic ill, then complexity theory explains how a small change affects all parts of the system, does not hold, it is definitely the case that stock solutions are solutions which contain only a single buffer system or chemical. The statement, stock solutions are solutions which contain only a single buffer system or chemical, does not hold. It is rational to believe that either turtles have (part) ears or if rivers sometimes have dams to hold the water for people to drink, or to make electricity, then poor people are willing and able to borrow at market rates. The statement that states turtles have (part) ears is false.
|
Whenever it is true that kidney stones occur when calcium crystals build up inside the kidney, 'poor people are willing and able to borrow at market rates' is true.
|
Whenever it is true that kidney stones occur when calcium crystals build up inside the kidney, 'poor people are willing and able to borrow at market rates' is true.
|
TRUE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then [2]. [SC2-2]
Therefore, If [0], then [2]..
[SC1-2]
Hypothetical Syllogism:
If [0], then [6].
If [6], then [3].
Therefore, If [0], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [2].).), then [7].
Not [7].
Therefore, If [3], then [2]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [1]. [SC2-2]
Therefore, If [2], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [4], then [1].).
Not [5].
Therefore, If [4], then [1]..
|
{0: 'Kidney stones occur when calcium crystals build up inside the kidney.', 1: 'Poor people are willing and able to borrow at market rates.', 2: 'Complexity theory explains how a small change affects all parts of the system.', 3: 'Some molds produce compounds that can make even the non-allergic ill.', 4: 'Rivers sometimes have dams to hold the water for people to drink, or to make electricity.', 5: 'Turtles have (part) ears.', 6: 'Rocks exhibit a variety of properties including shape, size, color, and texture.', 7: 'Stock solutions are solutions which contain only a single buffer system or chemical.'}
| 6 |
5,005 |
["Once we know the claim that most anteaters have prehensile tails is false, we also know that true Work is the necessity of poor humanity's earthly condition.", "It is a common misconception that true Work is the necessity of poor humanity's earthly condition.", 'Either one or both of these statements are true: sustainable farmers tend to produce a diversity of crop and livestock products, or if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number.', 'The claim that sustainable farmers tend to produce a diversity of crop and livestock products has no merit.', "On the condition that the claim that if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then the claim that if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number does not correspond with reality is false, it is definitely the case that the statement that 'digitalis lantana is the species grown commercially for pharmaceutical use' is incorrect.", "Given that the statement 'if the claim that if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then the claim that if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number does not correspond with reality is false, then digitalis lantana is the species grown commercially for pharmaceutical use' can be considered false, it can be inferred that most seizures happen without warning, last only a short time and stop without any special treatment.", 'We know that the claim that most seizures happen without warning, last only a short time and stop without any special treatment is false.']
|
Once we know the claim that most anteaters have prehensile tails is false, we also know that true Work is the necessity of poor humanity's earthly condition. It is a common misconception that true Work is the necessity of poor humanity's earthly condition. Either one or both of these statements are true: sustainable farmers tend to produce a diversity of crop and livestock products, or if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number. The claim that sustainable farmers tend to produce a diversity of crop and livestock products has no merit. On the condition that the claim that if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then the claim that if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number does not correspond with reality is false, it is definitely the case that the statement that 'digitalis lantana is the species grown commercially for pharmaceutical use' is incorrect. Given that the statement 'if the claim that if it is a common misconception that if most anteaters have prehensile tails, then if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage, then the claim that if chinchillas are affected by the full moon and become more active on a bright moonlit night, then a majority is a number does not correspond with reality is false, then digitalis lantana is the species grown commercially for pharmaceutical use' can be considered false, it can be inferred that most seizures happen without warning, last only a short time and stop without any special treatment. We know that the claim that most seizures happen without warning, last only a short time and stop without any special treatment is false.
|
Provided that amphetamines activate the dopamine system, we know that water is the healthy, no-calorie beverage
|
Those that suggest if amphetamines activate the dopamine system, then water is the healthy, no-calorie beverage are wrong.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].). [SC1-2]
If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].).).
Not [7].
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).).).), then [6]. [SC1-3]
If (Not (If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).).).), then (Not [6].).
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).).).), then [6].).), then [8].
Not [8].
Therefore, If (Not (If (Not (If [2], then (If [0], then [1].).).), then (Not (If [4], then [5].).).).), then [6]..
[SC2-1]
Modus Tonens:
If (Not [2].), then [3].
Not [3].
Therefore, [2].
|
{0: 'Amphetamines activate the dopamine system.', 1: 'Water is the healthy, no-calorie beverage.', 2: 'Most anteaters have prehensile tails.', 3: "True Work is the necessity of poor humanity's earthly condition.", 4: 'Chinchillas are affected by the full moon and become more active on a bright moonlit night.', 5: 'A majority is a number.', 6: 'Digitalis lantana is the species grown commercially for pharmaceutical use.', 7: 'Sustainable farmers tend to produce a diversity of crop and livestock products.', 8: 'Most seizures happen without warning, last only a short time and stop without any special treatment.'}
| 6 |
5,769 |
['On the condition that individualist feminists see the primary class conflict as being the government vs. women, it is definitely the case that bison live in a variety of groups.', 'One may reasonably assume that if bison live in a variety of groups, then the claim that water is a huge microwave absorber does not reflect reality.', 'Given that green plants use the process of photosynthesis to make carbohydrates, it can be inferred that individualist feminists see the primary class conflict as being the government vs. women.', 'It is true that diets include grind beef.', 'At least one of two things is true: some tiger sharks have lobes, or if some people are pre-disposed to addiction, then individualist feminists see the primary class conflict as being the government vs. women.', 'The claim that some tiger sharks have lobes is false.', 'Either a small farmer is a farmer or if diets include grind beef, then either green plants use the process of photosynthesis to make carbohydrates or some people are pre-disposed to addiction.', 'The statement that states a small farmer is a farmer is false.']
|
On the condition that individualist feminists see the primary class conflict as being the government vs. women, it is definitely the case that bison live in a variety of groups. One may reasonably assume that if bison live in a variety of groups, then the claim that water is a huge microwave absorber does not reflect reality. Given that green plants use the process of photosynthesis to make carbohydrates, it can be inferred that individualist feminists see the primary class conflict as being the government vs. women. It is true that diets include grind beef. At least one of two things is true: some tiger sharks have lobes, or if some people are pre-disposed to addiction, then individualist feminists see the primary class conflict as being the government vs. women. The claim that some tiger sharks have lobes is false. Either a small farmer is a farmer or if diets include grind beef, then either green plants use the process of photosynthesis to make carbohydrates or some people are pre-disposed to addiction. The statement that states a small farmer is a farmer is false.
|
The claim that water is a huge microwave absorber does not reflect reality.
|
The claim that water is a huge microwave absorber does not reflect reality.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [2].
If [2], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then [1].
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [6], then (Either [3] or [4].). [SC1-3]
[6]
Therefore, Either [3] or [4]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [6], then (Either [3] or [4].).).
Not [7].
Therefore, If [6], then (Either [3] or [4].)..
[SC3-2]
Disjunctive Syllogism:
Either [5] or (If [4], then [1].).
Not [5].
Therefore, If [4], then [1]..
|
{0: 'Water is a huge microwave absorber.', 1: 'Individualist feminists see the primary class conflict as being the government vs. women.', 2: 'Bison live in a variety of groups.', 3: 'Green plants use the process of photosynthesis to make carbohydrates.', 4: 'Some people are pre-disposed to addiction.', 5: 'Some tiger sharks have lobes.', 6: 'Diets include grind beef.', 7: 'A small farmer is a farmer.'}
| 6 |
5,679 |
['Should it be the case that we know that the claim that if it is a common misconception that natural gas is the fuel of the future, then either some male fish return after just two years or most precipitation occurs in rain is false, it follows that either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates.', "When most water absorption is from the surface cells of the moss plant is true, it follows that the notion that 'either some male fish return after just two years or most precipitation occurs in rain' is untrue.", 'most water absorption is from the surface cells of the moss plant.', 'We know that at least one of two things is true: other methods use natural gases, or if ant colonies can be long-lived, then mealworms turn into pupas.', "On the condition that if ant colonies can be long-lived, then mealworms turn into pupas, it is definitely the case that the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue.", "If the claim that if other methods use natural gases, then the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue does not correspond with reality, then the claim that if citizenship is based on rights of birth, then deep water clams with two pairs of simple bipectinate gills used only for respiration does not correspond with reality.", "Given that the claim that if other methods use natural gases, then the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue does not correspond with reality, it can be inferred that either parades have floats or dark colors are still preferred in professional clothing especially for men.", 'Assuming either parades have floats or dark colors are still preferred in professional clothing especially for men, we know that if citizenship is based on rights of birth, then deep water clams with two pairs of simple bipectinate gills used only for respiration.']
|
Should it be the case that we know that the claim that if it is a common misconception that natural gas is the fuel of the future, then either some male fish return after just two years or most precipitation occurs in rain is false, it follows that either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates. When most water absorption is from the surface cells of the moss plant is true, it follows that the notion that 'either some male fish return after just two years or most precipitation occurs in rain' is untrue. most water absorption is from the surface cells of the moss plant. We know that at least one of two things is true: other methods use natural gases, or if ant colonies can be long-lived, then mealworms turn into pupas. On the condition that if ant colonies can be long-lived, then mealworms turn into pupas, it is definitely the case that the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue. If the claim that if other methods use natural gases, then the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue does not correspond with reality, then the claim that if citizenship is based on rights of birth, then deep water clams with two pairs of simple bipectinate gills used only for respiration does not correspond with reality. Given that the claim that if other methods use natural gases, then the notion that 'either unequal distribution is a problem with flood irrigation systems or most tropical plants grow climates' is untrue does not correspond with reality, it can be inferred that either parades have floats or dark colors are still preferred in professional clothing especially for men. Assuming either parades have floats or dark colors are still preferred in professional clothing especially for men, we know that if citizenship is based on rights of birth, then deep water clams with two pairs of simple bipectinate gills used only for respiration.
|
It is the case that natural gas is the fuel of the future.
|
The statement that states natural gas is the fuel of the future is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (Either [1] or [2].).).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Not (Either [3] or [4].).). [SC2-3]
If (If [7], then [8].), then (Not (Either [3] or [4].).).
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Not (Either [3] or [4].).).).), then (If [9], then [10].). [SC1-4]
If (Not (If [6], then (Not (Either [3] or [4].).).).), then (Not (If [9], then [10].).).
Therefore, If [6], then (Not (Either [3] or [4].).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [6], then (Not (Either [3] or [4].).).).), then (Either [11] or [12].).
If (Either [11] or [12].), then (If [9], then [10].).
Therefore, If (Not (If [6], then (Not (Either [3] or [4].).).).), then (If [9], then [10].)..
[SC2-1]
Modus Ponens:
If [5], then (Not (Either [1] or [2].).).
[5]
Therefore, Not (Either [1] or [2].)..
|
{0: 'Natural gas is the fuel of the future.', 1: 'Some male fish return after just two years.', 2: 'Most precipitation occurs in rain.', 3: 'Unequal distribution is a problem with flood irrigation systems.', 4: 'Most tropical plants grow climates.', 5: 'Most water absorption is from the surface cells of the moss plant.', 6: 'Other methods use natural gases.', 7: 'Ant colonies can be long-lived.', 8: 'Mealworms turn into pupas.', 9: 'Citizenship is based on rights of birth.', 10: 'Deep water clams with two pairs of simple bipectinate gills used only for respiration.', 11: 'Parades have floats.', 12: 'Dark colors are still preferred in professional clothing especially for men.'}
| 6 |
5,722 |
['It is a fact that either lenses include zoom eyepieces or a pair of scissors is an edge tool.', 'One may reasonably assume that if lenses include zoom eyepieces, then older women are more likely to be unemployed.', 'On the condition that a pair of scissors is an edge tool, it is definitely the case that either unemployment is still a factor with the youth of today or most onions grown in Oregon are long-day onions.', 'It is rational to believe that either ants usually enter buildings in search of food and water or prolonged immobilization leads to abnormal scarring and weakens connective tissue.', 'Provided that ants usually enter buildings in search of food and water, we know that if older women are more likely to be unemployed, then power tools are located in repair shops.', 'Assuming prolonged immobilization leads to abnormal scarring and weakens connective tissue, we know that if older women are more likely to be unemployed, then power tools are located in repair shops.', 'If refuse is waste, then if either unemployment is still a factor with the youth of today or most onions grown in Oregon are long-day onions, then power tools are located in repair shops.', 'It is a common misconception that stock symbols are symbols.', "So long as films always originate in emotions, 'if the notion that 'refuse is waste' is untrue, then stock symbols are symbols' is true.", 'films always originate in emotions.']
|
It is a fact that either lenses include zoom eyepieces or a pair of scissors is an edge tool. One may reasonably assume that if lenses include zoom eyepieces, then older women are more likely to be unemployed. On the condition that a pair of scissors is an edge tool, it is definitely the case that either unemployment is still a factor with the youth of today or most onions grown in Oregon are long-day onions. It is rational to believe that either ants usually enter buildings in search of food and water or prolonged immobilization leads to abnormal scarring and weakens connective tissue. Provided that ants usually enter buildings in search of food and water, we know that if older women are more likely to be unemployed, then power tools are located in repair shops. Assuming prolonged immobilization leads to abnormal scarring and weakens connective tissue, we know that if older women are more likely to be unemployed, then power tools are located in repair shops. If refuse is waste, then if either unemployment is still a factor with the youth of today or most onions grown in Oregon are long-day onions, then power tools are located in repair shops. It is a common misconception that stock symbols are symbols. So long as films always originate in emotions, 'if the notion that 'refuse is waste' is untrue, then stock symbols are symbols' is true. films always originate in emotions.
|
It is rational to agree that power tools are located in repair shops.
|
It is rational to agree that power tools are located in repair shops.
|
TRUE
|
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]
Constructive Dilemma:
Either [6] or [7].
If [6], then [1].
If [7], then (Either [2] or [3].).
Therefore, Either [1] or (Either [2] or [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [0].).
If [5], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Modus Ponens:
If [8], then (If (Either [2] or [3].), then [0].).
[8] [SC2-2]
Therefore, If (Either [2] or [3].), then [0]..
[SC2-2]
Modus Tonens:
If (Not [8].), then [9]. [SC1-3]
Not [9].
Therefore, [8].
[SC1-3]
Modus Ponens:
If [10], then (If (Not [8].), then [9].).
[10]
Therefore, If (Not [8].), then [9]..
|
{0: 'Power tools are located in repair shops.', 1: 'Older women are more likely to be unemployed.', 2: 'Unemployment is still a factor with the youth of today.', 3: 'Most onions grown in Oregon are long-day onions.', 4: 'Ants usually enter buildings in search of food and water.', 5: 'Prolonged immobilization leads to abnormal scarring and weakens connective tissue.', 6: 'Lenses include zoom eyepieces.', 7: 'A pair of scissors is an edge tool.', 8: 'Refuse is waste.', 9: 'Stock symbols are symbols.', 10: 'Films always originate in emotions.'}
| 6 |
5,215 |
['It is not true that creatures do jobs.', 'If it is a common misconception that if the claim that insect legs are used for walking and climbing is false, then synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then elephants change their dietary requirements with the change in season.', 'Once we know it is a common misconception that if the claim that insect legs are used for walking and climbing is false, then synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, we also know that the claim that elephants change their dietary requirements with the change in season has no merit.', 'Either one or both of these statements are true: job shadows are for youths interested in learning about a career in animal care, or dolphins have (part) piluses.', 'When dolphins have (part) piluses is true, it follows that if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs.', 'Should it be the case that the claim that if job shadows are for youths interested in learning about a career in animal care, then if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs does not reflect reality, it follows that serial killers are undeniably sick, and their numbers seem to be growing.', "One may reasonably assume that if respect comes from a belief that individuals and groups are equally honorable, then if the claim that if job shadows are for youths interested in learning about a career in animal care, then if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs does not reflect reality, then the statement that 'serial killers are undeniably sick, and their numbers seem to be growing' is incorrect.", 'The statement that states respect comes from a belief that individuals and groups are equally honorable is right.']
|
It is not true that creatures do jobs. If it is a common misconception that if the claim that insect legs are used for walking and climbing is false, then synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then elephants change their dietary requirements with the change in season. Once we know it is a common misconception that if the claim that insect legs are used for walking and climbing is false, then synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, we also know that the claim that elephants change their dietary requirements with the change in season has no merit. Either one or both of these statements are true: job shadows are for youths interested in learning about a career in animal care, or dolphins have (part) piluses. When dolphins have (part) piluses is true, it follows that if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs. Should it be the case that the claim that if job shadows are for youths interested in learning about a career in animal care, then if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs does not reflect reality, it follows that serial killers are undeniably sick, and their numbers seem to be growing. One may reasonably assume that if respect comes from a belief that individuals and groups are equally honorable, then if the claim that if job shadows are for youths interested in learning about a career in animal care, then if synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter, then creatures do jobs does not reflect reality, then the statement that 'serial killers are undeniably sick, and their numbers seem to be growing' is incorrect. The statement that states respect comes from a belief that individuals and groups are equally honorable is right.
|
We can assume that insect legs are used for walking and climbing.
|
Insect legs are specialized for various functions.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [2].).), then [3].
If (Not (If (Not [0].), then [2].).), then (Not [3].).
Therefore, If (Not [0].), then [2]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [1].). [SC2-3]
If [5], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (If [2], then [1].).).), then [6].
If (Not (If [4], then (If [2], then [1].).).), then (Not [6].). [SC2-4]
Therefore, If [4], then (If [2], then [1].)..
[SC2-4]
Modus Ponens:
If [7], then (If (Not (If [4], then (If [2], then [1].).).), then (Not [6].).).
[7]
Therefore, If (Not (If [4], then (If [2], then [1].).).), then (Not [6].)..
|
{0: 'Insect legs are used for walking and climbing.', 1: 'Creatures do jobs.', 2: 'Synaptic transmission involves the regulated exocytosis of vesicles filled with neurotransmitter.', 3: 'Elephants change their dietary requirements with the change in season.', 4: 'Job shadows are for youths interested in learning about a career in animal care.', 5: 'Dolphins have (part) piluses.', 6: 'Serial killers are undeniably sick, and their numbers seem to be growing.', 7: 'Respect comes from a belief that individuals and groups are equally honorable.'}
| 6 |
5,653 |
['If if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then animals recognize and discriminate among many different chemicals using their olfactory systems.', 'We know that either religion makes people feel safer or werewolves have enormous appetites and like to sink their fangs into large, fleshy animals.', 'There is good reason to believe that either devotion is prayer or if religion makes people feel safer, then if if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then it is a common misconception that animals recognize and discriminate among many different chemicals using their olfactory systems.', 'It is not true that predation is a relationship that helps both parties.', "Whenever it is true that devotion is prayer, 'either cells make new cells by dividing or quality of life demands that our aged be given appropriate care in their final years' is true.", 'The statement that states either cells make new cells by dividing or quality of life demands that our aged be given appropriate care in their final years is false.', 'One may reasonably assume that if we know that the claim that if the statement, if werewolves have enormous appetites and like to sink their fangs into large, fleshy animals, then if if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then it is a common misconception that animals recognize and discriminate among many different chemicals using their olfactory systems, does not hold, then predation is a relationship that helps both parties is false, then rubies often call forth A sensation of starlight in the tongue.', "The notion that 'rubies often call forth A sensation of starlight in the tongue' is untrue."]
|
If if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then animals recognize and discriminate among many different chemicals using their olfactory systems. We know that either religion makes people feel safer or werewolves have enormous appetites and like to sink their fangs into large, fleshy animals. There is good reason to believe that either devotion is prayer or if religion makes people feel safer, then if if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then it is a common misconception that animals recognize and discriminate among many different chemicals using their olfactory systems. It is not true that predation is a relationship that helps both parties. Whenever it is true that devotion is prayer, 'either cells make new cells by dividing or quality of life demands that our aged be given appropriate care in their final years' is true. The statement that states either cells make new cells by dividing or quality of life demands that our aged be given appropriate care in their final years is false. One may reasonably assume that if we know that the claim that if the statement, if werewolves have enormous appetites and like to sink their fangs into large, fleshy animals, then if if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine, then it is a common misconception that animals recognize and discriminate among many different chemicals using their olfactory systems, does not hold, then predation is a relationship that helps both parties is false, then rubies often call forth A sensation of starlight in the tongue. The notion that 'rubies often call forth A sensation of starlight in the tongue' is untrue.
|
The claim that if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine is false.
|
The claim that if earthquakes are most frequent where two or more plates meet, then exercise can decrease the amount of glutamine is false.
|
TRUE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2].
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (If [0], then [1].), then (Not [2].).). [SC2-2]
If [4], then (If (If [0], then [1].), then (Not [2].).). [SC3-2]
Therefore, If (If [0], then [1].), then (Not [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [3], then (If (If [0], then [1].), then (Not [2].).).).
Not [6]. [SC2-3]
Therefore, If [3], then (If (If [0], then [1].), then (Not [2].).)..
[SC2-3]
Modus Tonens:
If [6], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [6]..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If (If [0], then [1].), then (Not [2].).).).), then [5]. [SC1-3]
Not [5].
Therefore, If [4], then (If (If [0], then [1].), then (Not [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [4], then (If (If [0], then [1].), then (Not [2].).).).), then [5].).), then [7].
Not [7].
Therefore, If (Not (If [4], then (If (If [0], then [1].), then (Not [2].).).).), then [5]..
|
{0: 'Earthquakes are most frequent where two or more plates meet.', 1: 'Exercise can decrease the amount of glutamine.', 2: 'Animals recognize and discriminate among many different chemicals using their olfactory systems.', 3: 'Religion makes people feel safer.', 4: 'Werewolves have enormous appetites and like to sink their fangs into large, fleshy animals.', 5: 'Predation is a relationship that helps both parties.', 6: 'Devotion is prayer.', 7: 'Rubies often call forth A sensation of starlight in the tongue.', 8: 'Cells make new cells by dividing.', 9: 'Quality of life demands that our aged be given appropriate care in their final years.'}
| 6 |
5,150 |
['The statement, either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds, does not hold.', "When it is not true that either either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds or it is not the case that accidents DO happen, even in the very, very best of homes is true, it follows that the statement that 'head lice are called ectoparasites because they live on the exterior of their host' is incorrect.", 'Those that suggest christian counselors approach the matter of deciding what to believe very differently are wrong.', 'When the claim that if the claim that either christian counselors approach the matter of deciding what to believe very differently or if it is not true that either either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds or it is not the case that accidents DO happen, even in the very, very best of homes, then head lice are called ectoparasites because they live on the exterior of their host does not correspond with reality, then either plant declines after seeding with shorter days or dynamic ropes refer to the amount of force transmitted to a climber during a fall is false is true, it follows that evaporative emissions are lower in alcohol-fueled vehicles than gasoline vehicles.', 'The statement that states evaporative emissions are lower in alcohol-fueled vehicles than gasoline vehicles is false.', 'It is rational to believe that either direct labor is the labor costs which are directly related to production of a certain item or the statement, either plant declines after seeding with shorter days or dynamic ropes refer to the amount of force transmitted to a climber during a fall, does not hold.', "The statement that 'direct labor is the labor costs which are directly related to production of a certain item' is incorrect."]
|
The statement, either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds, does not hold. When it is not true that either either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds or it is not the case that accidents DO happen, even in the very, very best of homes is true, it follows that the statement that 'head lice are called ectoparasites because they live on the exterior of their host' is incorrect. Those that suggest christian counselors approach the matter of deciding what to believe very differently are wrong. When the claim that if the claim that either christian counselors approach the matter of deciding what to believe very differently or if it is not true that either either noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace or racers also eat mice and chicks of ground-nesting birds or it is not the case that accidents DO happen, even in the very, very best of homes, then head lice are called ectoparasites because they live on the exterior of their host does not correspond with reality, then either plant declines after seeding with shorter days or dynamic ropes refer to the amount of force transmitted to a climber during a fall is false is true, it follows that evaporative emissions are lower in alcohol-fueled vehicles than gasoline vehicles. The statement that states evaporative emissions are lower in alcohol-fueled vehicles than gasoline vehicles is false. It is rational to believe that either direct labor is the labor costs which are directly related to production of a certain item or the statement, either plant declines after seeding with shorter days or dynamic ropes refer to the amount of force transmitted to a climber during a fall, does not hold. The statement that 'direct labor is the labor costs which are directly related to production of a certain item' is incorrect.
|
It is not the case that accidents DO happen, even in the very, very best of homes.
|
Many people rightly believe that accidents DO happen, even in the very, very best of homes.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]. [SC1-2]
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then (Not [3].).
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].). [SC1-3]
Not [4].
Therefore, If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).).), then (Either [5] or [6].). [SC1-4]
Not (Either [5] or [6].). [SC2-4]
Therefore, Either [4] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (Either [4] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).).), then (Either [5] or [6].).).), then [7].
Not [7].
Therefore, If (Not (Either [4] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).).), then (Either [5] or [6].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (Not (Either [5] or [6].).).
Not [8].
Therefore, Not (Either [5] or [6].)..
|
{0: 'Accidents DO happen, even in the very, very best of homes.', 1: 'Noise destroys many noise-sensing cells in the inner ear that no hearing aid can replace.', 2: 'Racers also eat mice and chicks of ground-nesting birds.', 3: 'Head lice are called ectoparasites because they live on the exterior of their host.', 4: 'Christian counselors approach the matter of deciding what to believe very differently.', 5: 'Plant declines after seeding with shorter days.', 6: 'Dynamic ropes refer to the amount of force transmitted to a climber during a fall.', 7: 'Evaporative emissions are lower in alcohol-fueled vehicles than gasoline vehicles.', 8: 'Direct labor is the labor costs which are directly related to production of a certain item.'}
| 6 |
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