id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
| label
stringclasses 3
values | arg
stringlengths 54
2.02k
| statements
stringlengths 51
1.12k
| depth
int64 1
7
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|---|---|---|---|---|---|---|---|---|
6,651 |
['At least one of two things is true: if siphonophores are multicellular AND colonial, then several states have mandatory cystic fibrosis screening for newborns, or condoms come in different sizes, shapes, and styles.', 'Assuming if siphonophores are multicellular AND colonial, then several states have mandatory cystic fibrosis screening for newborns, we know that the statement that states animal foods are the richest source of easily absorbed zinc is false.', "Assuming the statement that 'if condoms come in different sizes, shapes, and styles, then the statement that states animal foods are the richest source of easily absorbed zinc is false' is incorrect, we know that echolalias are diseases.", 'It is a fact that either purists argue gas burners don t add the same level of flavour as charcoal or white dwarfs have mass.', "Provided that white dwarfs have mass, we know that the statement 'echolalias are diseases' can be considered false.", "Assuming if some fish live in wildernesses, then most golf shoes have rubber soles, we know that the statement 'echolalias are diseases' can be considered false.", 'It is rational to believe that either anthrax is zoonosis or either happiness is the pleasure of the moment, the goal or cockroaches are insects that tend to hide and live in the hiding places filled with dirt.', 'Once we know either happiness is the pleasure of the moment, the goal or cockroaches are insects that tend to hide and live in the hiding places filled with dirt, we also know that if purists argue gas burners don t add the same level of flavour as charcoal, then if some fish live in wildernesses, then most golf shoes have rubber soles.', "The notion that 'children feel bonds' is untrue.", 'Once we know it is not true that either children feel bonds or if anthrax is zoonosis, then if purists argue gas burners don t add the same level of flavour as charcoal, then if some fish live in wildernesses, then most golf shoes have rubber soles, we also know that assistive technology is devices for students with disabilities.', "The statement 'assistive technology is devices for students with disabilities' can be considered false."]
|
At least one of two things is true: if siphonophores are multicellular AND colonial, then several states have mandatory cystic fibrosis screening for newborns, or condoms come in different sizes, shapes, and styles. Assuming if siphonophores are multicellular AND colonial, then several states have mandatory cystic fibrosis screening for newborns, we know that the statement that states animal foods are the richest source of easily absorbed zinc is false. Assuming the statement that 'if condoms come in different sizes, shapes, and styles, then the statement that states animal foods are the richest source of easily absorbed zinc is false' is incorrect, we know that echolalias are diseases. It is a fact that either purists argue gas burners don t add the same level of flavour as charcoal or white dwarfs have mass. Provided that white dwarfs have mass, we know that the statement 'echolalias are diseases' can be considered false. Assuming if some fish live in wildernesses, then most golf shoes have rubber soles, we know that the statement 'echolalias are diseases' can be considered false. It is rational to believe that either anthrax is zoonosis or either happiness is the pleasure of the moment, the goal or cockroaches are insects that tend to hide and live in the hiding places filled with dirt. Once we know either happiness is the pleasure of the moment, the goal or cockroaches are insects that tend to hide and live in the hiding places filled with dirt, we also know that if purists argue gas burners don t add the same level of flavour as charcoal, then if some fish live in wildernesses, then most golf shoes have rubber soles. The notion that 'children feel bonds' is untrue. Once we know it is not true that either children feel bonds or if anthrax is zoonosis, then if purists argue gas burners don t add the same level of flavour as charcoal, then if some fish live in wildernesses, then most golf shoes have rubber soles, we also know that assistive technology is devices for students with disabilities. The statement 'assistive technology is devices for students with disabilities' can be considered false.
|
The statement that states animal foods are the richest source of easily absorbed zinc is false.
|
The claim that animal foods have no natural fiber has no merit.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then (Not [0].).
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then (Not [0].).).), then [4].
Not [4]. [SC2-2]
Therefore, If [3], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].). [SC2-3]
If [6], then (Not [4].).
Therefore, Not [4]..
[SC2-3]
Hypothetical Syllogism:
If [5], then (If [7], then [8].). [SC1-4]
If (If [7], then [8].), then (Not [4].).
Therefore, If [5], then (Not [4].)..
[SC1-4]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [5], then (If [7], then [8].).). [SC2-5]
If (Either [10] or [11].), then (If [5], then (If [7], then [8].).).
Therefore, If [5], then (If [7], then [8].)..
[SC2-5]
Disjunctive Syllogism:
Either [12] or (If [9], then (If [5], then (If [7], then [8].).).). [SC1-6]
Not [12].
Therefore, If [9], then (If [5], then (If [7], then [8].).)..
[SC1-6]
Modus Tonens:
If (Not (Either [12] or (If [9], then (If [5], then (If [7], then [8].).).).).), then [13].
Not [13].
Therefore, Either [12] or (If [9], then (If [5], then (If [7], then [8].).).)..
|
{0: 'Animal foods are the richest source of easily absorbed zinc.', 1: 'Siphonophores are multicellular AND colonial.', 2: 'Several states have mandatory cystic fibrosis screening for newborns.', 3: 'Condoms come in different sizes, shapes, and styles.', 4: 'Echolalias are diseases.', 5: 'Purists argue gas burners don t add the same level of flavour as charcoal.', 6: 'White dwarfs have mass.', 7: 'Some fish live in wildernesses.', 8: 'Most golf shoes have rubber soles.', 9: 'Anthrax is zoonosis.', 10: 'Happiness is the pleasure of the moment, the goal.', 11: 'Cockroaches are insects that tend to hide and live in the hiding places filled with dirt.', 12: 'Children feel bonds.', 13: 'Assistive technology is devices for students with disabilities.'}
| 7 |
6,669 |
['Assuming judges desire justice, we know that if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates.', "So long as acute hypoxia induces elevation of ornithine decarboxylase activity in neonatal rat brain slices, 'either judges desire justice or musical performance is a form of communication' is true.", "So long as pregnant women can lose their babies, 'either acute hypoxia induces elevation of ornithine decarboxylase activity in neonatal rat brain slices or if most geckos eat moths, then rabbits come from families' is true.", 'It is the case that pregnant women can lose their babies.', "Whenever it is true that if most geckos eat moths, then rabbits come from families, 'sewage sludge is in fact an amalgamation of all the wastes of our society' is true.", 'Once we know sewage sludge is in fact an amalgamation of all the wastes of our society, we also know that either judges desire justice or musical performance is a form of communication.', "So long as most parents control temperature, 'if musical performance is a form of communication, then browns are high in carbon and provide the energy source for microorganisms' is true.", 'It is fair to say that most parents control temperature.', 'One may reasonably assume that if the claim that if browns are high in carbon and provide the energy source for microorganisms, then if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates has no merit, then sources have drawbacks.', 'Some people mistakenly believe that sources have drawbacks.']
|
Assuming judges desire justice, we know that if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates. So long as acute hypoxia induces elevation of ornithine decarboxylase activity in neonatal rat brain slices, 'either judges desire justice or musical performance is a form of communication' is true. So long as pregnant women can lose their babies, 'either acute hypoxia induces elevation of ornithine decarboxylase activity in neonatal rat brain slices or if most geckos eat moths, then rabbits come from families' is true. It is the case that pregnant women can lose their babies. Whenever it is true that if most geckos eat moths, then rabbits come from families, 'sewage sludge is in fact an amalgamation of all the wastes of our society' is true. Once we know sewage sludge is in fact an amalgamation of all the wastes of our society, we also know that either judges desire justice or musical performance is a form of communication. So long as most parents control temperature, 'if musical performance is a form of communication, then browns are high in carbon and provide the energy source for microorganisms' is true. It is fair to say that most parents control temperature. One may reasonably assume that if the claim that if browns are high in carbon and provide the energy source for microorganisms, then if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates has no merit, then sources have drawbacks. Some people mistakenly believe that sources have drawbacks.
|
One may reasonably assume that if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates.
|
The statement, if organizations are like living organisms, then plant tissue consists of complex carbohydrates synthesized from simple carbohydrates, does not hold.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].).
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].). [SC1-2]
If [4], then (Either [2] or [3].).
If (If [5], then [6].), then (Either [2] or [3].). [SC3-2]
Therefore, Either [2] or [3]..
[SC1-2]
Modus Ponens:
If [10], then (Either [4] or (If [5], then [6].).).
[10]
Therefore, Either [4] or (If [5], then [6].)..
[SC3-2]
Hypothetical Syllogism:
If (If [5], then [6].), then [8].
If [8], then (Either [2] or [3].).
Therefore, If (If [5], then [6].), then (Either [2] or [3].)..
[SC3-1]
Hypothetical Syllogism:
If [3], then [7]. [SC1-2]
If [7], then (If [0], then [1].). [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [9], then (If [3], then [7].).
[9]
Therefore, If [3], then [7]..
[SC2-2]
Modus Tonens:
If (Not (If [7], then (If [0], then [1].).).), then [11].
Not [11].
Therefore, If [7], then (If [0], then [1].)..
|
{0: 'Organizations are like living organisms.', 1: 'Plant tissue consists of complex carbohydrates synthesized from simple carbohydrates.', 2: 'Judges desire justice.', 3: 'Musical performance is a form of communication.', 4: 'Acute hypoxia induces elevation of ornithine decarboxylase activity in neonatal rat brain slices.', 5: 'Most geckos eat moths.', 6: 'Rabbits come from families.', 7: 'Browns are high in carbon and provide the energy source for microorganisms.', 8: 'Sewage sludge is in fact an amalgamation of all the wastes of our society.', 9: 'Most parents control temperature.', 10: 'Pregnant women can lose their babies.', 11: 'Sources have drawbacks.'}
| 7 |
6,504 |
['We know that at least one of two things is true: either management is a skill - and like any other skill it comes with experience and practice or gut bacteria play roles, or either snakes have prey or either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels.', 'Some people mistakenly believe that either management is a skill - and like any other skill it comes with experience and practice or gut bacteria play roles.', 'If some people mistakenly believe that if snakes have prey, then the claim that ade is a drink does not reflect reality, then if rape is an act of power and control and often has little to do with sexual desire, then playing sports cause wins.', 'When some people mistakenly believe that if snakes have prey, then the claim that ade is a drink does not reflect reality is true, it follows that the statement, if rape is an act of power and control and often has little to do with sexual desire, then playing sports cause wins, does not hold.', "So long as the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, 'it is not true that either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance' is true.", 'Assuming some people mistakenly believe that either routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder or if the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, then either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance, we know that net administration is the process of managing and controlling the Internet infrastructure.', 'Once we know some people mistakenly believe that either routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder or if the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, then either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance, we also know that the claim that net administration is the process of managing and controlling the Internet infrastructure does not reflect reality.', 'Either either an emergency room is a room or most elements have nuclear energy or climate change is a global problem requiring a global solution.', 'Should it be the case that either an emergency room is a room or most elements have nuclear energy, it follows that the claim that routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder is false.', 'If climate change is a global problem requiring a global solution, then the claim that routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder is false.']
|
We know that at least one of two things is true: either management is a skill - and like any other skill it comes with experience and practice or gut bacteria play roles, or either snakes have prey or either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels. Some people mistakenly believe that either management is a skill - and like any other skill it comes with experience and practice or gut bacteria play roles. If some people mistakenly believe that if snakes have prey, then the claim that ade is a drink does not reflect reality, then if rape is an act of power and control and often has little to do with sexual desire, then playing sports cause wins. When some people mistakenly believe that if snakes have prey, then the claim that ade is a drink does not reflect reality is true, it follows that the statement, if rape is an act of power and control and often has little to do with sexual desire, then playing sports cause wins, does not hold. So long as the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, 'it is not true that either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance' is true. Assuming some people mistakenly believe that either routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder or if the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, then either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance, we know that net administration is the process of managing and controlling the Internet infrastructure. Once we know some people mistakenly believe that either routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder or if the claim that if either some secretion enters tubules or folic acid plays a major role in lowering homocysteine levels, then the claim that ade is a drink does not reflect reality is false, then either undercooked food is neither tasteful nor healthy for eating or symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance, we also know that the claim that net administration is the process of managing and controlling the Internet infrastructure does not reflect reality. Either either an emergency room is a room or most elements have nuclear energy or climate change is a global problem requiring a global solution. Should it be the case that either an emergency room is a room or most elements have nuclear energy, it follows that the claim that routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder is false. If climate change is a global problem requiring a global solution, then the claim that routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder is false.
|
The claim that ade is a drink does not reflect reality.
|
The idea that ade is a drink is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then (Not [0].). [SC2-1]
If (Either [2] or [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Either [1] or (Either [2] or [3].).).
Not (Either [6] or [7].).
Therefore, Either [1] or (Either [2] or [3].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then (If [4], then [5].).
If (Not (If [1], then (Not [0].).).), then (Not (If [4], then [5].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].). [SC1-2]
If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Not (Either [8] or [9].).).
Therefore, If (Either [2] or [3].), then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].).). [SC1-3]
Not [10]. [SC2-3]
Therefore, If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [10] or (If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].).).).), then [11].
If (Not (Either [10] or (If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].).).).), then (Not [11].).
Therefore, Either [10] or (If (Not (If (Either [2] or [3].), then (Not [0].).).), then (Either [8] or [9].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [12] or [13].) or [14].
If (Either [12] or [13].), then (Not [10].).
If [14], then (Not [10].).
Therefore, Not [10]..
|
{0: 'Ade is a drink.', 1: 'Snakes have prey.', 2: 'Some secretion enters tubules.', 3: 'Folic acid plays a major role in lowering homocysteine levels.', 4: 'Rape is an act of power and control and often has little to do with sexual desire.', 5: 'Playing sports cause wins.', 6: 'Management is a skill - and like any other skill it comes with experience and practice.', 7: 'Gut bacteria play roles.', 8: 'Undercooked food is neither tasteful nor healthy for eating.', 9: 'Symptoms first become apparent when plants begin to wilt or develop an unhealthy appearance.', 10: 'Routine phlebotomy prevents the accumulation of excess iron and manifestations of the disorder.', 11: 'Net administration is the process of managing and controlling the Internet infrastructure.', 12: 'An emergency room is a room.', 13: 'Most elements have nuclear energy.', 14: 'Climate change is a global problem requiring a global solution.'}
| 7 |
6,900 |
['If turkey numbers are currently low due to habitat loss caused by flooding, then the claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality.', 'Provided that triple bombs cause explosions, we know that the claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality.', 'Either one or both of these statements are true: musicians are artists, or either monocots are better at absorbing water because the many small roots are constantly drawing in water or humans have positive impact.', "The statement that 'musicians are artists' is incorrect.", 'Should it be the case that chicken feed is mash, it follows that either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions.', "Whenever it is true that the statement, if humans have positive impact, then either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions, does not hold, 'some people mistakenly believe that thermal printers are printers' is true.", "So long as oxes have (part) hip sockets, 'if monocots are better at absorbing water because the many small roots are constantly drawing in water, then chicken feed is mash' is true.", 'The claim that oxes have (part) hip sockets holds true.', "So long as the statement, if humans have positive impact, then either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions, does not hold, 'airlines are the most categorizing organizations off the face of the earth' is true.", 'One may reasonably assume that if airlines are the most categorizing organizations off the face of the earth, then thermal printers are printers.']
|
If turkey numbers are currently low due to habitat loss caused by flooding, then the claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality. Provided that triple bombs cause explosions, we know that the claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality. Either one or both of these statements are true: musicians are artists, or either monocots are better at absorbing water because the many small roots are constantly drawing in water or humans have positive impact. The statement that 'musicians are artists' is incorrect. Should it be the case that chicken feed is mash, it follows that either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions. Whenever it is true that the statement, if humans have positive impact, then either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions, does not hold, 'some people mistakenly believe that thermal printers are printers' is true. So long as oxes have (part) hip sockets, 'if monocots are better at absorbing water because the many small roots are constantly drawing in water, then chicken feed is mash' is true. The claim that oxes have (part) hip sockets holds true. So long as the statement, if humans have positive impact, then either turkey numbers are currently low due to habitat loss caused by flooding or triple bombs cause explosions, does not hold, 'airlines are the most categorizing organizations off the face of the earth' is true. One may reasonably assume that if airlines are the most categorizing organizations off the face of the earth, then thermal printers are printers.
|
The claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality.
|
The claim that seizures can take many forms, since the brain is responsible for such a wide range of functions does not correspond with reality.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either [1] or [2].). [SC2-2]
If [4], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6].
Therefore, Either [3] or [4]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [5]. [SC1-3]
If [5], then (Either [1] or [2].).
Therefore, If [3], then (Either [1] or [2].)..
[SC1-3]
Modus Ponens:
If [9], then (If [3], then [5].).
[9]
Therefore, If [3], then [5]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Either [1] or [2].).).), then [7]. [SC1-3]
If (Not (If [4], then (Either [1] or [2].).).), then (Not [7].).
Therefore, If [4], then (Either [1] or [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [4], then (Either [1] or [2].).).), then [8].
If [8], then [7].
Therefore, If (Not (If [4], then (Either [1] or [2].).).), then [7]..
|
{0: 'Seizures can take many forms, since the brain is responsible for such a wide range of functions.', 1: 'Turkey numbers are currently low due to habitat loss caused by flooding.', 2: 'Triple bombs cause explosions.', 3: 'Monocots are better at absorbing water because the many small roots are constantly drawing in water.', 4: 'Humans have positive impact.', 5: 'Chicken feed is mash.', 6: 'Musicians are artists.', 7: 'Thermal printers are printers.', 8: 'Airlines are the most categorizing organizations off the face of the earth.', 9: 'Oxes have (part) hip sockets.'}
| 7 |
6,649 |
['At least one of two things is true: some protist species are essential components of the food chain and are generators of biomass , or vegetables may have other benefits.', 'Should it be the case that some protist species are essential components of the food chain and are generators of biomass , it follows that if ozone also demonstrate the ability to modulate cytoxine production, then color contrast is especially effective for reading and writing.', "Whenever it is true that vegetables may have other benefits, 'if ozone also demonstrate the ability to modulate cytoxine production, then color contrast is especially effective for reading and writing' is true.", "So long as color contrast is especially effective for reading and writing, 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' is true.", "Provided that many foods are commercially available items that are specially packaged for space use, we know that if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false.", 'Provided that those that suggest either many foods are commercially available items that are specially packaged for space use or if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor are wrong, we know that dogs can be carriers also.', 'It is not the case that dogs can be carriers also.', "Once we know doctors recommend eating more foods containing calcium when younger, we also know that if if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor, then if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false.", "On the condition that a springboard is a board, it is definitely the case that if if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor, then if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false.", 'When it is not true that either doctors recommend eating more foods containing calcium when younger or a springboard is a board is true, it follows that if mt fujis are volcanos, then time is conceived as eternal and formless.', 'It is not the case that if mt fujis are volcanos, then time is conceived as eternal and formless.']
|
At least one of two things is true: some protist species are essential components of the food chain and are generators of biomass , or vegetables may have other benefits. Should it be the case that some protist species are essential components of the food chain and are generators of biomass , it follows that if ozone also demonstrate the ability to modulate cytoxine production, then color contrast is especially effective for reading and writing. Whenever it is true that vegetables may have other benefits, 'if ozone also demonstrate the ability to modulate cytoxine production, then color contrast is especially effective for reading and writing' is true. So long as color contrast is especially effective for reading and writing, 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' is true. Provided that many foods are commercially available items that are specially packaged for space use, we know that if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false. Provided that those that suggest either many foods are commercially available items that are specially packaged for space use or if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor are wrong, we know that dogs can be carriers also. It is not the case that dogs can be carriers also. Once we know doctors recommend eating more foods containing calcium when younger, we also know that if if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor, then if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false. On the condition that a springboard is a board, it is definitely the case that if if eye contact is essential to building rapport with someone, then snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor, then if color contrast is especially effective for reading and writing, then the statement 'violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper' can be considered false. When it is not true that either doctors recommend eating more foods containing calcium when younger or a springboard is a board is true, it follows that if mt fujis are volcanos, then time is conceived as eternal and formless. It is not the case that if mt fujis are volcanos, then time is conceived as eternal and formless.
|
The claim that ozone also demonstrate the ability to modulate cytoxine production does not reflect reality.
|
Ozone also demonstrate the ability to modulate cytoxine production.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then [1].).
If [3], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4].
If [1], then (Not [4].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (If [1], then (Not [4].).).
If (If [6], then [7].), then (If [1], then (Not [4].).). [SC3-3]
Therefore, If [1], then (Not [4].)..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or (If [6], then [7].).).), then [10].
Not [10].
Therefore, Either [5] or (If [6], then [7].)..
[SC3-3]
Disjunction Elimination:
Either [8] or [9]. [SC1-4]
If [8], then (If (If [6], then [7].), then (If [1], then (Not [4].).).).
If [9], then (If (If [6], then [7].), then (If [1], then (Not [4].).).).
Therefore, If (If [6], then [7].), then (If [1], then (Not [4].).)..
[SC1-4]
Modus Tonens:
If (Not (Either [8] or [9].).), then (If [11], then [12].).
Not (If [11], then [12].).
Therefore, Either [8] or [9]..
|
{0: 'Ozone also demonstrate the ability to modulate cytoxine production.', 1: 'Color contrast is especially effective for reading and writing.', 2: 'Some protist species are essential components of the food chain and are generators of biomass .', 3: 'Vegetables may have other benefits.', 4: 'Violent reactions can occur when strong oxidizers are mixed with combustibles such as wood or paper.', 5: 'Many foods are commercially available items that are specially packaged for space use.', 6: 'Eye contact is essential to building rapport with someone.', 7: 'Snorkeling is great right from the shore, Gazing at fish and coral on the ocean floor.', 8: 'Doctors recommend eating more foods containing calcium when younger.', 9: 'A springboard is a board.', 10: 'Dogs can be carriers also.', 11: 'Mt fujis are volcanos.', 12: 'Time is conceived as eternal and formless.'}
| 7 |
6,931 |
["Whenever it is true that either most heat comes from single sources or excessive eating does violence to the body, 'many entomologists work for government agencies' is true.", 'One may reasonably assume that if several species occur in our waters, but only two are prominent, then most fevers subside in the morning, but go up again during the day.', 'We know that at least one of two things is true: herbs add distinctive taste, or landfill leachates and groundwater contamination.', 'When herbs add distinctive taste is true, it follows that if most fevers subside in the morning, but go up again during the day, then the statement, critics are evaluators, does not hold.', 'One may reasonably assume that if landfill leachates and groundwater contamination, then if most fevers subside in the morning, but go up again during the day, then the statement, critics are evaluators, does not hold.', 'Once we know cereals are located in cupboards, we also know that either either most heat comes from single sources or excessive eating does violence to the body or several species occur in our waters, but only two are prominent.', 'cereals are located in cupboards.', "Once we know the statement that 'if many entomologists work for government agencies, then the statement, critics are evaluators, does not hold' is incorrect, we also know that psyllium apparently lowers cholesterol by dragging bile acids out of the body.", 'Assuming psyllium apparently lowers cholesterol by dragging bile acids out of the body, we know that otters reach maturity.', 'We know that either either a syllogism is deduction or lagrange points are where gravitational forces and the speed of motion of a body are in balance or trees can move by however much they grow.', 'Should it be the case that either a syllogism is deduction or lagrange points are where gravitational forces and the speed of motion of a body are in balance, it follows that the statement that states otters reach maturity is false.', "So long as trees can move by however much they grow, 'the statement that states otters reach maturity is false' is true."]
|
Whenever it is true that either most heat comes from single sources or excessive eating does violence to the body, 'many entomologists work for government agencies' is true. One may reasonably assume that if several species occur in our waters, but only two are prominent, then most fevers subside in the morning, but go up again during the day. We know that at least one of two things is true: herbs add distinctive taste, or landfill leachates and groundwater contamination. When herbs add distinctive taste is true, it follows that if most fevers subside in the morning, but go up again during the day, then the statement, critics are evaluators, does not hold. One may reasonably assume that if landfill leachates and groundwater contamination, then if most fevers subside in the morning, but go up again during the day, then the statement, critics are evaluators, does not hold. Once we know cereals are located in cupboards, we also know that either either most heat comes from single sources or excessive eating does violence to the body or several species occur in our waters, but only two are prominent. cereals are located in cupboards. Once we know the statement that 'if many entomologists work for government agencies, then the statement, critics are evaluators, does not hold' is incorrect, we also know that psyllium apparently lowers cholesterol by dragging bile acids out of the body. Assuming psyllium apparently lowers cholesterol by dragging bile acids out of the body, we know that otters reach maturity. We know that either either a syllogism is deduction or lagrange points are where gravitational forces and the speed of motion of a body are in balance or trees can move by however much they grow. Should it be the case that either a syllogism is deduction or lagrange points are where gravitational forces and the speed of motion of a body are in balance, it follows that the statement that states otters reach maturity is false. So long as trees can move by however much they grow, 'the statement that states otters reach maturity is false' is true.
|
The statement, critics are evaluators, does not hold.
|
It is reasonable to believe that critics are evaluators.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either (Either [6] or [7].) or [8]. [SC1-2]
If (Either [6] or [7].), then [1].
If [8], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If [13], then (Either (Either [6] or [7].) or [8].).
[13]
Therefore, Either (Either [6] or [7].) or [8]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then [9].
If [9], then [5].
Therefore, If (Not (If [1], then (Not [0].).).), then [5]..
[SC2-2]
Disjunction Elimination:
Either (Either [10] or [11].) or [12].
If (Either [10] or [11].), then (Not [5].).
If [12], then (Not [5].).
Therefore, Not [5]..
[SC3-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [2], then (Not [0].).).
If [4], then (If [2], then (Not [0].).).
Therefore, If [2], then (Not [0].)..
|
{0: 'Critics are evaluators.', 1: 'Many entomologists work for government agencies.', 2: 'Most fevers subside in the morning, but go up again during the day.', 3: 'Herbs add distinctive taste.', 4: 'Landfill leachates and groundwater contamination.', 5: 'Otters reach maturity.', 6: 'Most heat comes from single sources.', 7: 'Excessive eating does violence to the body.', 8: 'Several species occur in our waters, but only two are prominent.', 9: 'Psyllium apparently lowers cholesterol by dragging bile acids out of the body.', 10: 'A syllogism is deduction.', 11: 'Lagrange points are where gravitational forces and the speed of motion of a body are in balance.', 12: 'Trees can move by however much they grow.', 13: 'Cereals are located in cupboards.'}
| 7 |
6,300 |
['The claim that most women feel pain similar to menstrual cramps does not reflect reality.', 'We know that either fish also contains anti-inflammatory essential fatty acids or most western gorillas eat vegetation.', 'Provided that fish also contains anti-inflammatory essential fatty acids, we know that some dassies have teeth.', 'When most western gorillas eat vegetation is true, it follows that some dassies have teeth.', 'When sauropods have (part) cells is true, it follows that if it is not the case that if some dassies have teeth, then golf is played on gravel and baseball has two bases, then most women feel pain similar to menstrual cramps.', 'When most muscle proteins release into blood is true, it follows that sauropods have (part) cells.', 'It is a fact that either water is located in sweat or camels also have special fanglike teeth that the males use in fighting.', 'Provided that water is located in sweat, we know that either either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves or most muscle proteins release into blood.', "So long as camels also have special fanglike teeth that the males use in fighting, 'either either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves or most muscle proteins release into blood' is true.", 'If most parents adapt to environments, then if either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves, then sauropods have (part) cells.', 'The statement that states most parents adapt to environments is right.']
|
The claim that most women feel pain similar to menstrual cramps does not reflect reality. We know that either fish also contains anti-inflammatory essential fatty acids or most western gorillas eat vegetation. Provided that fish also contains anti-inflammatory essential fatty acids, we know that some dassies have teeth. When most western gorillas eat vegetation is true, it follows that some dassies have teeth. When sauropods have (part) cells is true, it follows that if it is not the case that if some dassies have teeth, then golf is played on gravel and baseball has two bases, then most women feel pain similar to menstrual cramps. When most muscle proteins release into blood is true, it follows that sauropods have (part) cells. It is a fact that either water is located in sweat or camels also have special fanglike teeth that the males use in fighting. Provided that water is located in sweat, we know that either either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves or most muscle proteins release into blood. So long as camels also have special fanglike teeth that the males use in fighting, 'either either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves or most muscle proteins release into blood' is true. If most parents adapt to environments, then if either a spiny dogfish is a dogfish or lifesavers take responsibility for others as well as for themselves, then sauropods have (part) cells. The statement that states most parents adapt to environments is right.
|
It is reasonable to believe that golf is played on gravel and baseball has two bases.
|
Golf is a popular sport in France, but it is often difficult to find a good course.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If [1], then [0].).), then [2].).
[5] [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or [8]. [SC1-4]
If (Either [6] or [7].), then [5]. [SC2-4]
If [8], then [5].
Therefore, [5].
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either (Either [6] or [7].) or [8].).
If [10], then (Either (Either [6] or [7].) or [8].).
Therefore, Either (Either [6] or [7].) or [8]..
[SC2-4]
Modus Ponens:
If [11], then (If (Either [6] or [7].), then [5].).
[11]
Therefore, If (Either [6] or [7].), then [5]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1].
If [4], then [1].
Therefore, [1].
|
{0: 'Golf is played on gravel and baseball has two bases.', 1: 'Some dassies have teeth.', 2: 'Most women feel pain similar to menstrual cramps.', 3: 'Fish also contains anti-inflammatory essential fatty acids.', 4: 'Most western gorillas eat vegetation.', 5: 'Sauropods have (part) cells.', 6: 'A spiny dogfish is a dogfish.', 7: 'Lifesavers take responsibility for others as well as for themselves.', 8: 'Most muscle proteins release into blood.', 9: 'Water is located in sweat.', 10: 'Camels also have special fanglike teeth that the males use in fighting.', 11: 'Most parents adapt to environments.'}
| 7 |
6,674 |
['We can assume that agriculture causes desertification.', 'Given that the claim that if agriculture causes desertification, then if most brown pigment is used by artists, then breast milk contains fat-soluble pesticides and other pollutants is false, it can be inferred that histological picture is consistent with ulcerative colitis.', 'The claim that histological picture is consistent with ulcerative colitis has no merit.', "Either organisms produce offspring that are similar to the parent or parents or if the statement that 'most brown pigment is used by artists' is incorrect, then coal burning produces gases that contain primarily carbon, sulfur, nitrogen, hydrogen, and oxygen.", 'We know that the claim that organisms produce offspring that are similar to the parent or parents is false.', "When the statement that 'most brown pigment is used by artists' is incorrect is true, it follows that standard shoes offer nothing more than basic protection to the soles of the feet.", 'When standard shoes offer nothing more than basic protection to the soles of the feet is true, it follows that smoking occurs among both men and women who portrayed positive characters.', "Provided that smoking occurs among both men and women who portrayed positive characters, we know that the statement that 'coal burning produces gases that contain primarily carbon, sulfur, nitrogen, hydrogen, and oxygen' is incorrect."]
|
We can assume that agriculture causes desertification. Given that the claim that if agriculture causes desertification, then if most brown pigment is used by artists, then breast milk contains fat-soluble pesticides and other pollutants is false, it can be inferred that histological picture is consistent with ulcerative colitis. The claim that histological picture is consistent with ulcerative colitis has no merit. Either organisms produce offspring that are similar to the parent or parents or if the statement that 'most brown pigment is used by artists' is incorrect, then coal burning produces gases that contain primarily carbon, sulfur, nitrogen, hydrogen, and oxygen. We know that the claim that organisms produce offspring that are similar to the parent or parents is false. When the statement that 'most brown pigment is used by artists' is incorrect is true, it follows that standard shoes offer nothing more than basic protection to the soles of the feet. When standard shoes offer nothing more than basic protection to the soles of the feet is true, it follows that smoking occurs among both men and women who portrayed positive characters. Provided that smoking occurs among both men and women who portrayed positive characters, we know that the statement that 'coal burning produces gases that contain primarily carbon, sulfur, nitrogen, hydrogen, and oxygen' is incorrect.
|
breast milk contains fat-soluble pesticides and other pollutants.
|
Breast milk provides the baby with better nutrition than formula.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (If [1], then [0].).).), then [4].
Not [4].
Therefore, If [2], then (If [1], then [0].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [3]. [SC1-2]
If (Not [1].), then (Not [3].). [SC2-2]
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not [1].), then [3].).
Not [5].
Therefore, If (Not [1].), then [3]..
[SC2-2]
Hypothetical Syllogism:
If (Not [1].), then [6].
If [6], then (Not [3].). [SC2-3]
Therefore, If (Not [1].), then (Not [3].)..
[SC2-3]
Hypothetical Syllogism:
If [6], then [7].
If [7], then (Not [3].).
Therefore, If [6], then (Not [3].)..
|
{0: 'Breast milk contains fat-soluble pesticides and other pollutants.', 1: 'Most brown pigment is used by artists.', 2: 'Agriculture causes desertification.', 3: 'Coal burning produces gases that contain primarily carbon, sulfur, nitrogen, hydrogen, and oxygen.', 4: 'Histological picture is consistent with ulcerative colitis.', 5: 'Organisms produce offspring that are similar to the parent or parents.', 6: 'Standard shoes offer nothing more than basic protection to the soles of the feet.', 7: 'Smoking occurs among both men and women who portrayed positive characters.'}
| 7 |
6,665 |
["Assuming the claim that lobbyists are part of political life in Britain has no merit, we know that the notion that 'vegetation catches the sand and the roots bind the sand particles together' is untrue.", 'Given that the claim that lobbyists are part of political life in Britain has no merit, it can be inferred that sin is compared to fire in the Bible.', 'If those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then breeds have behavioral characteristics.', 'Either one or both of these statements are true: laughter is the sound of true love, or workstations are computers that are bigger than micros and have the power of mainframes.', "Whenever it is true that laughter is the sound of true love, 'if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false' is true.", 'Either one or both of these statements are true: other animals exhibit behavior, or if breeds have behavioral characteristics, then storms are studied by scientists called meteorologists .', 'It is a common misconception that other animals exhibit behavior.', 'Provided that the claim that if workstations are computers that are bigger than micros and have the power of mainframes, then if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false is false, we know that corporate farms occur mainly in the meat industry.', 'On the condition that the claim that if workstations are computers that are bigger than micros and have the power of mainframes, then if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false is false, it is definitely the case that it is a common misconception that corporate farms occur mainly in the meat industry.']
|
Assuming the claim that lobbyists are part of political life in Britain has no merit, we know that the notion that 'vegetation catches the sand and the roots bind the sand particles together' is untrue. Given that the claim that lobbyists are part of political life in Britain has no merit, it can be inferred that sin is compared to fire in the Bible. If those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then breeds have behavioral characteristics. Either one or both of these statements are true: laughter is the sound of true love, or workstations are computers that are bigger than micros and have the power of mainframes. Whenever it is true that laughter is the sound of true love, 'if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false' is true. Either one or both of these statements are true: other animals exhibit behavior, or if breeds have behavioral characteristics, then storms are studied by scientists called meteorologists . It is a common misconception that other animals exhibit behavior. Provided that the claim that if workstations are computers that are bigger than micros and have the power of mainframes, then if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false is false, we know that corporate farms occur mainly in the meat industry. On the condition that the claim that if workstations are computers that are bigger than micros and have the power of mainframes, then if those that suggest if sin is compared to fire in the Bible, then vegetation catches the sand and the roots bind the sand particles together are wrong, then the statement that states storms are studied by scientists called meteorologists is false is false, it is definitely the case that it is a common misconception that corporate farms occur mainly in the meat industry.
|
The claim that lobbyists are part of political life in Britain holds true.
|
The claim that lobbyists are part of political life in Britain does not correspond with reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3]. [SC1-3]
If (Not (If [2], then [1].).), then (Not [3].). [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [2], then [1].).), then [4].
If [4], then [3]. [SC2-4]
Therefore, If (Not (If [2], then [1].).), then [3]..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (If [4], then [3].).
Not [8].
Therefore, If [4], then [3]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [2], then [1].).), then (Not [3].).).
If [6], then (If (Not (If [2], then [1].).), then (Not [3].).). [SC3-4]
Therefore, If (Not (If [2], then [1].).), then (Not [3].)..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (If [2], then [1].).), then (Not [3].).).).), then [7].
If (Not (If [6], then (If (Not (If [2], then [1].).), then (Not [3].).).).), then (Not [7].).
Therefore, If [6], then (If (Not (If [2], then [1].).), then (Not [3].).)..
|
{0: 'Lobbyists are part of political life in Britain.', 1: 'Vegetation catches the sand and the roots bind the sand particles together.', 2: 'Sin is compared to fire in the Bible.', 3: 'Storms are studied by scientists called meteorologists .', 4: 'Breeds have behavioral characteristics.', 5: 'Laughter is the sound of true love.', 6: 'Workstations are computers that are bigger than micros and have the power of mainframes.', 7: 'Corporate farms occur mainly in the meat industry.', 8: 'Other animals exhibit behavior.'}
| 7 |
6,570 |
['One may reasonably assume that if ostriches have long, bare necks, a flat, broad beak with a rounded tip and large eyes, then either camels can cope better with the desert heat and have bigger wombs than llamas or all Mexican cities have a cathedral.', 'Assuming either camels can cope better with the desert heat and have bigger wombs than llamas or all Mexican cities have a cathedral, we know that if tea plants are evergreens, then the claim that electrostatic headphones are high voltage systems is false.', 'It is a fact that either either some eyes are more sensitive than others or nuclear plants emit none of the greenhouse gases produced by fossil-fueled plants or ostriches have long, bare necks, a flat, broad beak with a rounded tip and large eyes.', "The notion that 'either some eyes are more sensitive than others or nuclear plants emit none of the greenhouse gases produced by fossil-fueled plants' is untrue.", 'Should it be the case that some mammals swim in ponds, it follows that either analyses reveal treatments or tea plants are evergreens.', 'It is reasonable to believe that some mammals swim in ponds.', 'Provided that analyses reveal treatments, we know that hermit crabs return to water.', 'The claim that hermit crabs return to water does not correspond with reality.']
|
One may reasonably assume that if ostriches have long, bare necks, a flat, broad beak with a rounded tip and large eyes, then either camels can cope better with the desert heat and have bigger wombs than llamas or all Mexican cities have a cathedral. Assuming either camels can cope better with the desert heat and have bigger wombs than llamas or all Mexican cities have a cathedral, we know that if tea plants are evergreens, then the claim that electrostatic headphones are high voltage systems is false. It is a fact that either either some eyes are more sensitive than others or nuclear plants emit none of the greenhouse gases produced by fossil-fueled plants or ostriches have long, bare necks, a flat, broad beak with a rounded tip and large eyes. The notion that 'either some eyes are more sensitive than others or nuclear plants emit none of the greenhouse gases produced by fossil-fueled plants' is untrue. Should it be the case that some mammals swim in ponds, it follows that either analyses reveal treatments or tea plants are evergreens. It is reasonable to believe that some mammals swim in ponds. Provided that analyses reveal treatments, we know that hermit crabs return to water. The claim that hermit crabs return to water does not correspond with reality.
|
The claim that electrostatic headphones are high voltage systems is false.
|
It is reasonable to believe that electrostatic headphones are high voltage systems.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (If [1], then (Not [0].).). [SC1-2]
[3] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [3], then (Either [6] or [7].).
If (Either [6] or [7].), then (If [1], then (Not [0].).).
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or [3].
Not (Either [8] or [9].).
Therefore, [3].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [5], then (Either [2] or [1].).
[5]
Therefore, Either [2] or [1]..
[SC2-2]
Modus Tonens:
If [2], then [4].
Not [4].
Therefore, Not [2]..
|
{0: 'Electrostatic headphones are high voltage systems.', 1: 'Tea plants are evergreens.', 2: 'Analyses reveal treatments.', 3: 'Ostriches have long, bare necks, a flat, broad beak with a rounded tip and large eyes.', 4: 'Hermit crabs return to water.', 5: 'Some mammals swim in ponds.', 6: 'Camels can cope better with the desert heat and have bigger wombs than llamas.', 7: 'All Mexican cities have a cathedral.', 8: 'Some eyes are more sensitive than others.', 9: 'Nuclear plants emit none of the greenhouse gases produced by fossil-fueled plants.'}
| 7 |
6,163 |
['It is fair to say that extra protein is eliminated from the body or stored as fat.', "So long as charred buildup encourages foods to stick, 'if extra protein is eliminated from the body or stored as fat, then theories explain facts' is true.", 'On the condition that if lifesavers take responsibility for others as well as for themselves, then pot plants have water, it is definitely the case that if extra protein is eliminated from the body or stored as fat, then theories explain facts.', "When the statement that 'if theories explain facts, then cold sores are common in young children' is incorrect is true, it follows that negative forces are forces in the negative direction i.e. attractive forces.", "The statement 'negative forces are forces in the negative direction i.e. attractive forces' can be considered false.", 'There is good reason to believe that either either problem solving is the process of taking corrective action in order to meet objectives or wild dogs are canines or if either asthma developing late in life tends to be nonallergic without positive skin tests or birds are complex creatures of habit, then either charred buildup encourages foods to stick or if lifesavers take responsibility for others as well as for themselves, then pot plants have water.', 'The claim that either problem solving is the process of taking corrective action in order to meet objectives or wild dogs are canines is false.', 'Once we know some asexual spores have genetic materials, we also know that either asthma developing late in life tends to be nonallergic without positive skin tests or birds are complex creatures of habit.', 'It is the case that some asexual spores have genetic materials.']
|
It is fair to say that extra protein is eliminated from the body or stored as fat. So long as charred buildup encourages foods to stick, 'if extra protein is eliminated from the body or stored as fat, then theories explain facts' is true. On the condition that if lifesavers take responsibility for others as well as for themselves, then pot plants have water, it is definitely the case that if extra protein is eliminated from the body or stored as fat, then theories explain facts. When the statement that 'if theories explain facts, then cold sores are common in young children' is incorrect is true, it follows that negative forces are forces in the negative direction i.e. attractive forces. The statement 'negative forces are forces in the negative direction i.e. attractive forces' can be considered false. There is good reason to believe that either either problem solving is the process of taking corrective action in order to meet objectives or wild dogs are canines or if either asthma developing late in life tends to be nonallergic without positive skin tests or birds are complex creatures of habit, then either charred buildup encourages foods to stick or if lifesavers take responsibility for others as well as for themselves, then pot plants have water. The claim that either problem solving is the process of taking corrective action in order to meet objectives or wild dogs are canines is false. Once we know some asexual spores have genetic materials, we also know that either asthma developing late in life tends to be nonallergic without positive skin tests or birds are complex creatures of habit. It is the case that some asexual spores have genetic materials.
|
Those that suggest cold sores are common in young children are right.
|
Those that suggest cold sores are common in young children are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [3] or (If [4], then [5].). [SC1-3]
If [3], then (If [1], then [2].).
If (If [4], then [5].), then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (Either [3] or (If [4], then [5].).). [SC1-4]
Either [7] or [8]. [SC2-4]
Therefore, Either [3] or (If [4], then [5].)..
[SC1-4]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (If (Either [7] or [8].), then (Either [3] or (If [4], then [5].).).).
Not (Either [10] or [11].).
Therefore, If (Either [7] or [8].), then (Either [3] or (If [4], then [5].).)..
[SC2-4]
Modus Ponens:
If [9], then (Either [7] or [8].).
[9]
Therefore, Either [7] or [8]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [0].).), then [6].
Not [6].
Therefore, If [2], then [0]..
|
{0: 'Cold sores are common in young children.', 1: 'Extra protein is eliminated from the body or stored as fat.', 2: 'Theories explain facts.', 3: 'Charred buildup encourages foods to stick.', 4: 'Lifesavers take responsibility for others as well as for themselves.', 5: 'Pot plants have water.', 6: 'Negative forces are forces in the negative direction i.e. attractive forces.', 7: 'Asthma developing late in life tends to be nonallergic without positive skin tests.', 8: 'Birds are complex creatures of habit.', 9: 'Some asexual spores have genetic materials.', 10: 'Problem solving is the process of taking corrective action in order to meet objectives.', 11: 'Wild dogs are canines.'}
| 7 |
6,336 |
['Either thinkers have (part) personality or calves are born able to swim.', 'Once we know thinkers have (part) personality, we also know that if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old.', "Provided that the notion that 'if those that suggest love is the bridge between mortality and eternity are wrong, then those that suggest phoebes typically refiirbish an old nest or build a new one on top of the old are wrong' is untrue, we know that if cool water holds more oxygen than warm water, then computers are, first and foremost, productivity tools.", 'It is a common misconception that if cool water holds more oxygen than warm water, then computers are, first and foremost, productivity tools.', 'When women are three times as likely as men to attempt suicide is true, it follows that if calves are born able to swim, then different birds prefer different feeders.', 'women are three times as likely as men to attempt suicide.', 'It is a fact that either electricity naturally flows from the source of generation to the nearest user or most mammals has-part organs.', "Whenever it is true that electricity naturally flows from the source of generation to the nearest user, 'if different birds prefer different feeders, then if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old' is true.", 'We know that either typical bullies have attitude or if most mammals has-part organs, then if different birds prefer different feeders, then if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old.', 'The claim that typical bullies have attitude has no merit.']
|
Either thinkers have (part) personality or calves are born able to swim. Once we know thinkers have (part) personality, we also know that if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old. Provided that the notion that 'if those that suggest love is the bridge between mortality and eternity are wrong, then those that suggest phoebes typically refiirbish an old nest or build a new one on top of the old are wrong' is untrue, we know that if cool water holds more oxygen than warm water, then computers are, first and foremost, productivity tools. It is a common misconception that if cool water holds more oxygen than warm water, then computers are, first and foremost, productivity tools. When women are three times as likely as men to attempt suicide is true, it follows that if calves are born able to swim, then different birds prefer different feeders. women are three times as likely as men to attempt suicide. It is a fact that either electricity naturally flows from the source of generation to the nearest user or most mammals has-part organs. Whenever it is true that electricity naturally flows from the source of generation to the nearest user, 'if different birds prefer different feeders, then if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old' is true. We know that either typical bullies have attitude or if most mammals has-part organs, then if different birds prefer different feeders, then if those that suggest love is the bridge between mortality and eternity are wrong, then phoebes typically refiirbish an old nest or build a new one on top of the old. The claim that typical bullies have attitude has no merit.
|
We can assume that love is the bridge between mortality and eternity.
|
Some people mistakenly believe that love is the bridge between mortality and eternity.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then [1].).
If [5], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC3-2]
Hypothetical Syllogism:
If [5], then [6]. [SC1-3]
If [6], then (If (Not [0].), then [1].). [SC2-3]
Therefore, If [5], then (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If [7], then (If [5], then [6].).
[7]
Therefore, If [5], then [6]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (If (Not [0].), then [1].).).
If [9], then (If [6], then (If (Not [0].), then [1].).). [SC3-4]
Therefore, If [6], then (If (Not [0].), then [1].)..
[SC3-4]
Disjunctive Syllogism:
Either [10] or (If [9], then (If [6], then (If (Not [0].), then [1].).).).
Not [10].
Therefore, If [9], then (If [6], then (If (Not [0].), then [1].).)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).
Not (If [2], then [3].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Love is the bridge between mortality and eternity.', 1: 'Phoebes typically refiirbish an old nest or build a new one on top of the old.', 2: 'Cool water holds more oxygen than warm water.', 3: 'Computers are, first and foremost, productivity tools.', 4: 'Thinkers have (part) personality.', 5: 'Calves are born able to swim.', 6: 'Different birds prefer different feeders.', 7: 'Women are three times as likely as men to attempt suicide.', 8: 'Electricity naturally flows from the source of generation to the nearest user.', 9: 'Most mammals has-part organs.', 10: 'Typical bullies have attitude.'}
| 7 |
6,059 |
['When the claim that either if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot or casual friendship takes place when two people meet and begin getting to know each other does not correspond with reality is true, it follows that it is a common misconception that some argentine ants do have teeth.', 'If penguins have food, then the claim that if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot does not reflect reality.', 'It is a simple truth that penguins have food.', 'If hearing aids are unquestionably an effective way of reducing the handicap of hearing loss, then some argentine ants do have teeth.', "Whenever it is true that the statement that 'if the claim that either if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot or casual friendship takes place when two people meet and begin getting to know each other does not correspond with reality, then hearing aids are unquestionably an effective way of reducing the handicap of hearing loss' is incorrect, 'logic gates are a basic building block of all computers' is true.", 'It is a simple truth that related conditions are specific developmental disabilities that create significant life impairments.', 'Assuming most people obsess too much over whether food is healthy or unhealthy, we know that if related conditions are specific developmental disabilities that create significant life impairments, then we know that the claim that logic gates are a basic building block of all computers is false.', "The statement 'most people obsess too much over whether food is healthy or unhealthy' can be considered true."]
|
When the claim that either if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot or casual friendship takes place when two people meet and begin getting to know each other does not correspond with reality is true, it follows that it is a common misconception that some argentine ants do have teeth. If penguins have food, then the claim that if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot does not reflect reality. It is a simple truth that penguins have food. If hearing aids are unquestionably an effective way of reducing the handicap of hearing loss, then some argentine ants do have teeth. Whenever it is true that the statement that 'if the claim that either if some proteins derive from beef, then fungicides used to control scab are generally effective against frogeye leaf spot or casual friendship takes place when two people meet and begin getting to know each other does not correspond with reality, then hearing aids are unquestionably an effective way of reducing the handicap of hearing loss' is incorrect, 'logic gates are a basic building block of all computers' is true. It is a simple truth that related conditions are specific developmental disabilities that create significant life impairments. Assuming most people obsess too much over whether food is healthy or unhealthy, we know that if related conditions are specific developmental disabilities that create significant life impairments, then we know that the claim that logic gates are a basic building block of all computers is false. The statement 'most people obsess too much over whether food is healthy or unhealthy' can be considered true.
|
It is fair to say that casual friendship takes place when two people meet and begin getting to know each other.
|
The claim that casual friendship takes place when two people meet and begin getting to know each other has no merit.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [0].).), then [3]. [SC1-2]
If (Not (Either (If [1], then [2].) or [0].).), then (Not [3].).
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either (If [1], then [2].) or [0].).), then [5]. [SC1-3]
If [5], then [3].
Therefore, If (Not (Either (If [1], then [2].) or [0].).), then [3]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either (If [1], then [2].) or [0].).), then [5].).), then [6].
Not [6]. [SC2-4]
Therefore, If (Not (Either (If [1], then [2].) or [0].).), then [5]..
[SC2-4]
Modus Ponens:
If [7], then (Not [6].). [SC1-5]
[7]
Therefore, Not [6]..
[SC1-5]
Modus Ponens:
If [8], then (If [7], then (Not [6].).).
[8]
Therefore, If [7], then (Not [6].)..
[SC2-1]
Modus Ponens:
If [4], then (Not (If [1], then [2].).).
[4]
Therefore, Not (If [1], then [2].)..
|
{0: 'Casual friendship takes place when two people meet and begin getting to know each other.', 1: 'Some proteins derive from beef.', 2: 'Fungicides used to control scab are generally effective against frogeye leaf spot.', 3: 'Some argentine ants do have teeth.', 4: 'Penguins have food.', 5: 'Hearing aids are unquestionably an effective way of reducing the handicap of hearing loss.', 6: 'Logic gates are a basic building block of all computers.', 7: 'Related conditions are specific developmental disabilities that create significant life impairments.', 8: 'Most people obsess too much over whether food is healthy or unhealthy.'}
| 7 |
6,821 |
["So long as trees have a better chance to repel insect pests if there is sufficient water to form sap, 'either aquatic weeds are likely to be a problem in water seeded rice or noses have structures' is true.", 'It is rational to believe that either folders are containers that help organize models, just like folders on a disk help organize files or if decoys are objects, then liquid mirrors are interesting in other areas of science besides astronomy.', "When folders are containers that help organize models, just like folders on a disk help organize files is true, it follows that if aquatic weeds are likely to be a problem in water seeded rice , then the statement 'perennial ferns have leaves' can be considered false.", "Assuming if decoys are objects, then liquid mirrors are interesting in other areas of science besides astronomy, we know that if aquatic weeds are likely to be a problem in water seeded rice , then the statement 'perennial ferns have leaves' can be considered false.", "Assuming it is a common misconception that if noses have structures, then the statement 'perennial ferns have leaves' can be considered false, we know that abdominal pain is the most frequent symptom described by children with inflammatory bowel disease.", "Given that it is a common misconception that if noses have structures, then the statement 'perennial ferns have leaves' can be considered false, it can be inferred that the statement that states abdominal pain is the most frequent symptom described by children with inflammatory bowel disease is false.", 'It is a fact that either theophylline relaxes the lung muscles or air is a much better dielectric than solid polyethylene.', 'On the condition that theophylline relaxes the lung muscles, it is definitely the case that either trees have a better chance to repel insect pests if there is sufficient water to form sap or cd players are located in backpacks.', 'If air is a much better dielectric than solid polyethylene, then either trees have a better chance to repel insect pests if there is sufficient water to form sap or cd players are located in backpacks.', 'The claim that many species have tremendous variability throughout their range has no merit.', "Whenever it is true that the claim that if cd players are located in backpacks, then either aquatic weeds are likely to be a problem in water seeded rice or noses have structures does not reflect reality, 'either water diffuses into cells or plants grow, flower and die' is true.", 'Should it be the case that either water diffuses into cells or plants grow, flower and die, it follows that many species have tremendous variability throughout their range.']
|
So long as trees have a better chance to repel insect pests if there is sufficient water to form sap, 'either aquatic weeds are likely to be a problem in water seeded rice or noses have structures' is true. It is rational to believe that either folders are containers that help organize models, just like folders on a disk help organize files or if decoys are objects, then liquid mirrors are interesting in other areas of science besides astronomy. When folders are containers that help organize models, just like folders on a disk help organize files is true, it follows that if aquatic weeds are likely to be a problem in water seeded rice , then the statement 'perennial ferns have leaves' can be considered false. Assuming if decoys are objects, then liquid mirrors are interesting in other areas of science besides astronomy, we know that if aquatic weeds are likely to be a problem in water seeded rice , then the statement 'perennial ferns have leaves' can be considered false. Assuming it is a common misconception that if noses have structures, then the statement 'perennial ferns have leaves' can be considered false, we know that abdominal pain is the most frequent symptom described by children with inflammatory bowel disease. Given that it is a common misconception that if noses have structures, then the statement 'perennial ferns have leaves' can be considered false, it can be inferred that the statement that states abdominal pain is the most frequent symptom described by children with inflammatory bowel disease is false. It is a fact that either theophylline relaxes the lung muscles or air is a much better dielectric than solid polyethylene. On the condition that theophylline relaxes the lung muscles, it is definitely the case that either trees have a better chance to repel insect pests if there is sufficient water to form sap or cd players are located in backpacks. If air is a much better dielectric than solid polyethylene, then either trees have a better chance to repel insect pests if there is sufficient water to form sap or cd players are located in backpacks. The claim that many species have tremendous variability throughout their range has no merit. Whenever it is true that the claim that if cd players are located in backpacks, then either aquatic weeds are likely to be a problem in water seeded rice or noses have structures does not reflect reality, 'either water diffuses into cells or plants grow, flower and die' is true. Should it be the case that either water diffuses into cells or plants grow, flower and die, it follows that many species have tremendous variability throughout their range.
|
The statement 'perennial ferns have leaves' can be considered false.
|
The claim that perennial ferns have leaves is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [6] or [7]. [SC1-2]
If [6], then (Either [1] or [2].).
If [7], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [6] or [7].).
If [10], then (Either [6] or [7].).
Therefore, Either [6] or [7]..
[SC3-2]
Modus Tonens:
If (Not (If [7], then (Either [1] or [2].).).), then [11]. [SC1-3]
Not [11].
Therefore, If [7], then (Either [1] or [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [7], then (Either [1] or [2].).).), then (Either [12] or [13].).
If (Either [12] or [13].), then [11].
Therefore, If (Not (If [7], then (Either [1] or [2].).).), then [11]..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (If [1], then (Not [0].).).
If (If [4], then [5].), then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [8].
If (Not (If [2], then (Not [0].).).), then (Not [8].).
Therefore, If [2], then (Not [0].)..
|
{0: 'Perennial ferns have leaves.', 1: 'Aquatic weeds are likely to be a problem in water seeded rice .', 2: 'Noses have structures.', 3: 'Folders are containers that help organize models, just like folders on a disk help organize files.', 4: 'Decoys are objects.', 5: 'Liquid mirrors are interesting in other areas of science besides astronomy.', 6: 'Trees have a better chance to repel insect pests if there is sufficient water to form sap.', 7: 'Cd players are located in backpacks.', 8: 'Abdominal pain is the most frequent symptom described by children with inflammatory bowel disease.', 9: 'Theophylline relaxes the lung muscles.', 10: 'Air is a much better dielectric than solid polyethylene.', 11: 'Many species have tremendous variability throughout their range.', 12: 'Water diffuses into cells.', 13: 'Plants grow, flower and die.'}
| 7 |
6,933 |
["Whenever it is true that some toxic secretion reduces fish predation, 'robots can work with harmful chemicals, explore the ocean floor, and travel into space' is true.", "The statement that 'wetlands also produce a great deal of aquatic invertebrates on which mallards feed' is incorrect.", 'There is good reason to believe that either organic mulches decompose on the soil surface and add valuable plant nutrients to the soil or if robots can work with harmful chemicals, explore the ocean floor, and travel into space, then directional antennas are best suited for stationary point to point applications.', 'It is not the case that organic mulches decompose on the soil surface and add valuable plant nutrients to the soil.', 'Once we know directional antennas are best suited for stationary point to point applications, we also know that drones have (part) carapaces.', 'It is not true that drones have (part) carapaces.', 'There is good reason to believe that either either bartenders are located in bars or vitamin E is relatively safe compared to the fat-soluble vitamins or if most smoke contains sulfur, then oil is a good barrier fluid to use between dual mechanical seals.', 'Given that either bartenders are located in bars or vitamin E is relatively safe compared to the fat-soluble vitamins, it can be inferred that wetlands also produce a great deal of aquatic invertebrates on which mallards feed.', 'Once we know if most smoke contains sulfur, then oil is a good barrier fluid to use between dual mechanical seals, we also know that if most people think of penguins as only coming from cold places, then some toxic secretion reduces fish predation.']
|
Whenever it is true that some toxic secretion reduces fish predation, 'robots can work with harmful chemicals, explore the ocean floor, and travel into space' is true. The statement that 'wetlands also produce a great deal of aquatic invertebrates on which mallards feed' is incorrect. There is good reason to believe that either organic mulches decompose on the soil surface and add valuable plant nutrients to the soil or if robots can work with harmful chemicals, explore the ocean floor, and travel into space, then directional antennas are best suited for stationary point to point applications. It is not the case that organic mulches decompose on the soil surface and add valuable plant nutrients to the soil. Once we know directional antennas are best suited for stationary point to point applications, we also know that drones have (part) carapaces. It is not true that drones have (part) carapaces. There is good reason to believe that either either bartenders are located in bars or vitamin E is relatively safe compared to the fat-soluble vitamins or if most smoke contains sulfur, then oil is a good barrier fluid to use between dual mechanical seals. Given that either bartenders are located in bars or vitamin E is relatively safe compared to the fat-soluble vitamins, it can be inferred that wetlands also produce a great deal of aquatic invertebrates on which mallards feed. Once we know if most smoke contains sulfur, then oil is a good barrier fluid to use between dual mechanical seals, we also know that if most people think of penguins as only coming from cold places, then some toxic secretion reduces fish predation.
|
The statement, most people think of penguins as only coming from cold places, does not hold.
|
Most people think of penguins as only coming from cold places.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3]. [SC1-2]
If [3], then [1].
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [0], then [3].). [SC1-3]
Not [5].
Therefore, If [0], then [3]..
[SC1-3]
Constructive Dilemma:
Either (Either [7] or [8].) or (If [9], then [10].).
If (Either [7] or [8].), then [5].
If (If [9], then [10].), then (If [0], then [3].).
Therefore, Either [5] or (If [0], then [3].)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].).
Not [4].
Therefore, If [1], then [2]..
[SC2-2]
Modus Tonens:
If [2], then [6].
Not [6].
Therefore, Not [2]..
|
{0: 'Most people think of penguins as only coming from cold places.', 1: 'Robots can work with harmful chemicals, explore the ocean floor, and travel into space.', 2: 'Directional antennas are best suited for stationary point to point applications.', 3: 'Some toxic secretion reduces fish predation.', 4: 'Organic mulches decompose on the soil surface and add valuable plant nutrients to the soil.', 5: 'Wetlands also produce a great deal of aquatic invertebrates on which mallards feed.', 6: 'Drones have (part) carapaces.', 7: 'Bartenders are located in bars.', 8: 'Vitamin E is relatively safe compared to the fat-soluble vitamins.', 9: 'Most smoke contains sulfur.', 10: 'Oil is a good barrier fluid to use between dual mechanical seals.'}
| 7 |
6,490 |
["The statement 'meat has superior flavor with low fat content and they are highly resistant to disease' can be considered true.", 'Given that roadways are located in cities, it can be inferred that if meat has superior flavor with low fat content and they are highly resistant to disease, then heat dissipation is cooling.', 'Either one or both of these statements are true: characterization is descriptions, or either atherosclerosis is a problem that tends to compound itself or most states consider inheritances the property of the heir.', 'Once we know characterization is descriptions, we also know that if either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins, then roadways are located in cities.', "So long as either atherosclerosis is a problem that tends to compound itself or most states consider inheritances the property of the heir, 'if either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins, then roadways are located in cities' is true.", 'Some people mistakenly believe that either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid.', 'Given that the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, it can be inferred that it is a common misconception that if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion.', "Whenever it is true that the statement 'if the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, then if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion' can be considered false, 'viruses are responsible for numerous human diseases including flu' is true.", "So long as the statement 'if the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, then if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion' can be considered false, 'the claim that viruses are responsible for numerous human diseases including flu is false' is true."]
|
The statement 'meat has superior flavor with low fat content and they are highly resistant to disease' can be considered true. Given that roadways are located in cities, it can be inferred that if meat has superior flavor with low fat content and they are highly resistant to disease, then heat dissipation is cooling. Either one or both of these statements are true: characterization is descriptions, or either atherosclerosis is a problem that tends to compound itself or most states consider inheritances the property of the heir. Once we know characterization is descriptions, we also know that if either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins, then roadways are located in cities. So long as either atherosclerosis is a problem that tends to compound itself or most states consider inheritances the property of the heir, 'if either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins, then roadways are located in cities' is true. Some people mistakenly believe that either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid. Given that the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, it can be inferred that it is a common misconception that if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion. Whenever it is true that the statement 'if the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, then if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion' can be considered false, 'viruses are responsible for numerous human diseases including flu' is true. So long as the statement 'if the statement that states either either blood carries glucose through the body or most rice is enriched with iron, niacin, thiamin and folic acid or either evolution continues to take place within native ecosystems, but only gradually over many centuries or some tissue has embryonic origins is false, then if platelets arrive at the site of a rupture of a blood vessel and initially plug the leak, then platinum is referred to as a noble metal because, like gold, it resists corrosion' can be considered false, 'the claim that viruses are responsible for numerous human diseases including flu is false' is true.
|
The claim that heat dissipation is cooling holds true.
|
The claim that heat dissipation is cooling does not reflect reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].).
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Ponens:
If (Either [3] or [4].), then [2]. [SC1-3]
Either [3] or [4]. [SC2-3]
Therefore, [2].
[SC1-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Either [3] or [4].), then [2].).
If (Either [6] or [7].), then (If (Either [3] or [4].), then [2].).
Therefore, If (Either [3] or [4].), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Either [3] or [4].). [SC1-4]
Not (Either [8] or [9].).
Therefore, Either [3] or [4]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either (Either [8] or [9].) or (Either [3] or [4].).).), then (If [10], then [11].). [SC1-5]
If (Not (Either (Either [8] or [9].) or (Either [3] or [4].).).), then (Not (If [10], then [11].).).
Therefore, Either (Either [8] or [9].) or (Either [3] or [4].)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [8] or [9].) or (Either [3] or [4].).).), then (If [10], then [11].).).), then [12].
If (Not (If (Not (Either (Either [8] or [9].) or (Either [3] or [4].).).), then (If [10], then [11].).).), then (Not [12].).
Therefore, If (Not (Either (Either [8] or [9].) or (Either [3] or [4].).).), then (If [10], then [11].)..
|
{0: 'Heat dissipation is cooling.', 1: 'Meat has superior flavor with low fat content and they are highly resistant to disease.', 2: 'Roadways are located in cities.', 3: 'Evolution continues to take place within native ecosystems, but only gradually over many centuries.', 4: 'Some tissue has embryonic origins.', 5: 'Characterization is descriptions.', 6: 'Atherosclerosis is a problem that tends to compound itself.', 7: 'Most states consider inheritances the property of the heir.', 8: 'Blood carries glucose through the body.', 9: 'Most rice is enriched with iron, niacin, thiamin and folic acid.', 10: 'Platelets arrive at the site of a rupture of a blood vessel and initially plug the leak.', 11: 'Platinum is referred to as a noble metal because, like gold, it resists corrosion.', 12: 'Viruses are responsible for numerous human diseases including flu.'}
| 7 |
6,787 |
['It is rational to believe that either carbon is an undesirable element in most brazing filler metals or some nausea is caused by chemotherapy.', "So long as carbon is an undesirable element in most brazing filler metals, 'if the claim that if we know that the claim that either healthy streams support a wide variety of organisms or alcohol content varies among drinks is false, then onion powder is very bad for cats, too does not correspond with reality, then either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles' is true.", 'When some nausea is caused by chemotherapy is true, it follows that if the claim that if we know that the claim that either healthy streams support a wide variety of organisms or alcohol content varies among drinks is false, then onion powder is very bad for cats, too does not correspond with reality, then either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles.', 'It is a fact that either some cats have types or those that suggest either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles are wrong.', "The statement 'some cats have types' can be considered false.", 'Provided that onion powder is very bad for cats, too, we know that electronic sensors adjust power to the wheels that have the best grip.', "So long as electronic sensors adjust power to the wheels that have the best grip, 'either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine' is true.", "So long as either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine, 'either sex is, more importantly, about marriage, and families, and children or elephants are the largest land-dwelling animals' is true.", 'One may reasonably assume that if either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine, then the claim that either sex is, more importantly, about marriage, and families, and children or elephants are the largest land-dwelling animals is false.']
|
It is rational to believe that either carbon is an undesirable element in most brazing filler metals or some nausea is caused by chemotherapy. So long as carbon is an undesirable element in most brazing filler metals, 'if the claim that if we know that the claim that either healthy streams support a wide variety of organisms or alcohol content varies among drinks is false, then onion powder is very bad for cats, too does not correspond with reality, then either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles' is true. When some nausea is caused by chemotherapy is true, it follows that if the claim that if we know that the claim that either healthy streams support a wide variety of organisms or alcohol content varies among drinks is false, then onion powder is very bad for cats, too does not correspond with reality, then either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles. It is a fact that either some cats have types or those that suggest either proteins play a crucial role in virtually all the fundamental processes in the living cell or gerenuks have (part) vacuoles are wrong. The statement 'some cats have types' can be considered false. Provided that onion powder is very bad for cats, too, we know that electronic sensors adjust power to the wheels that have the best grip. So long as electronic sensors adjust power to the wheels that have the best grip, 'either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine' is true. So long as either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine, 'either sex is, more importantly, about marriage, and families, and children or elephants are the largest land-dwelling animals' is true. One may reasonably assume that if either most pregnancies are normal, and most babies are healthy or fuel cells generate electricity from the energy released when oxygen and hydrogen combine, then the claim that either sex is, more importantly, about marriage, and families, and children or elephants are the largest land-dwelling animals is false.
|
We know that at least one of two things is true: healthy streams support a wide variety of organisms, or alcohol content varies among drinks.
|
The claim that either healthy streams support a wide variety of organisms or alcohol content varies among drinks does not reflect reality.
|
FALSE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Either [3] or [4].).).
If [8], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Either [3] or [4].).).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Either [3] or [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [12] or (Not (Either [3] or [4].).).
Not [12].
Therefore, Not (Either [3] or [4].)..
[SC2-1]
Modus Tonens:
If [2], then (Either [5] or [6].). [SC1-2]
Not (Either [5] or [6].). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [9].
If [9], then (Either [5] or [6].).
Therefore, If [2], then (Either [5] or [6].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [5] or [6].), then (Either [10] or [11].).
If (Either [5] or [6].), then (Not (Either [10] or [11].).).
Therefore, Not (Either [5] or [6].)..
|
{0: 'Healthy streams support a wide variety of organisms.', 1: 'Alcohol content varies among drinks.', 2: 'Onion powder is very bad for cats, too.', 3: 'Proteins play a crucial role in virtually all the fundamental processes in the living cell.', 4: 'Gerenuks have (part) vacuoles.', 5: 'Most pregnancies are normal, and most babies are healthy.', 6: 'Fuel cells generate electricity from the energy released when oxygen and hydrogen combine.', 7: 'Carbon is an undesirable element in most brazing filler metals.', 8: 'Some nausea is caused by chemotherapy.', 9: 'Electronic sensors adjust power to the wheels that have the best grip.', 10: 'Sex is, more importantly, about marriage, and families, and children.', 11: 'Elephants are the largest land-dwelling animals.', 12: 'Some cats have types.'}
| 7 |
6,449 |
["There is good reason to believe that either justice is judgment or the notion that 'if some art critics believe that colour is the most essential aspect of paintings, then weight gain is normal during pregnancy' is untrue.", 'Given that justice is judgment, it can be inferred that either music publishers represent musical works, composers and lyricists or age is also a major determining factor in the prevalence of hypertension.', 'Given that either hay demand is highly related to the inventory of cattle, sheep and horses or clowns have (part) necks, it can be inferred that those that suggest either music publishers represent musical works, composers and lyricists or age is also a major determining factor in the prevalence of hypertension are wrong.', 'Either people to share knowledge or either hay demand is highly related to the inventory of cattle, sheep and horses or clowns have (part) necks.', "Given that some people mistakenly believe that either phenylephrine is a decongestant or the notion that 'people to share knowledge' is untrue, it can be inferred that if pistillate heads are clustered in the leaf axils below the spikes, then operations are transactions.", "When some people mistakenly believe that either phenylephrine is a decongestant or the notion that 'people to share knowledge' is untrue is true, it follows that the statement, if pistillate heads are clustered in the leaf axils below the spikes, then operations are transactions, does not hold.", 'When phenylephrine is a decongestant is true, it follows that telecommunications systems can transmit text, graphic images, voice, or video information.', 'One may reasonably assume that if phenylephrine is a decongestant, then it is a common misconception that telecommunications systems can transmit text, graphic images, voice, or video information.']
|
There is good reason to believe that either justice is judgment or the notion that 'if some art critics believe that colour is the most essential aspect of paintings, then weight gain is normal during pregnancy' is untrue. Given that justice is judgment, it can be inferred that either music publishers represent musical works, composers and lyricists or age is also a major determining factor in the prevalence of hypertension. Given that either hay demand is highly related to the inventory of cattle, sheep and horses or clowns have (part) necks, it can be inferred that those that suggest either music publishers represent musical works, composers and lyricists or age is also a major determining factor in the prevalence of hypertension are wrong. Either people to share knowledge or either hay demand is highly related to the inventory of cattle, sheep and horses or clowns have (part) necks. Given that some people mistakenly believe that either phenylephrine is a decongestant or the notion that 'people to share knowledge' is untrue, it can be inferred that if pistillate heads are clustered in the leaf axils below the spikes, then operations are transactions. When some people mistakenly believe that either phenylephrine is a decongestant or the notion that 'people to share knowledge' is untrue is true, it follows that the statement, if pistillate heads are clustered in the leaf axils below the spikes, then operations are transactions, does not hold. When phenylephrine is a decongestant is true, it follows that telecommunications systems can transmit text, graphic images, voice, or video information. One may reasonably assume that if phenylephrine is a decongestant, then it is a common misconception that telecommunications systems can transmit text, graphic images, voice, or video information.
|
The notion that 'if some art critics believe that colour is the most essential aspect of paintings, then weight gain is normal during pregnancy' is untrue.
|
The notion that 'if some art critics believe that colour is the most essential aspect of paintings, then weight gain is normal during pregnancy' is untrue.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).).
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Modus Tonens:
If [2], then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, Not [2]..
[SC2-2]
Modus Ponens:
If (Either [5] or [6].), then (Not (Either [3] or [4].).).
Either [5] or [6]. [SC2-3]
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].).
Not [7]. [SC2-4]
Therefore, Either [5] or [6]..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (Not [7].). [SC1-5]
Not [8]. [SC2-5]
Therefore, Not [7]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (Either [8] or (Not [7].).).), then (If [9], then [10].).
If (Not (Either [8] or (Not [7].).).), then (Not (If [9], then [10].).).
Therefore, Either [8] or (Not [7].)..
[SC2-5]
Reductio Ad Absurdum:
If [8], then [11].
If [8], then (Not [11].).
Therefore, Not [8]..
|
{0: 'Some art critics believe that colour is the most essential aspect of paintings.', 1: 'Weight gain is normal during pregnancy.', 2: 'Justice is judgment.', 3: 'Music publishers represent musical works, composers and lyricists.', 4: 'Age is also a major determining factor in the prevalence of hypertension.', 5: 'Hay demand is highly related to the inventory of cattle, sheep and horses.', 6: 'Clowns have (part) necks.', 7: 'People to share knowledge.', 8: 'Phenylephrine is a decongestant.', 9: 'Pistillate heads are clustered in the leaf axils below the spikes.', 10: 'Operations are transactions.', 11: 'Telecommunications systems can transmit text, graphic images, voice, or video information.'}
| 7 |
6,703 |
['One may reasonably assume that if the statement, condensation can also occur on other surfaces in homes, does not hold, then dust is more mobile than coarse particulates and unhealthy almost regardless of composition.', "So long as soup is dishs, 'the claim that dust is more mobile than coarse particulates and unhealthy almost regardless of composition has no merit' is true.", 'Provided that most anaerobic bacteria use oxygen, we know that soup is dishs.', "So long as we know that the claim that if a downtown is a city district, then most anaerobic bacteria use oxygen is false, 'gerontology is a field enriched by one s experiences with older adults' is true.", 'One may reasonably assume that if we know that the claim that if a downtown is a city district, then most anaerobic bacteria use oxygen is false, then some people mistakenly believe that gerontology is a field enriched by one s experiences with older adults.', 'Should it be the case that wolves kill lambs, it follows that a downtown is a city district.', "Once we know the statement 'wolves kill lambs' can be considered false, we also know that if distance learning is self directed learning, then vaginal lubrication depends upon stimuli.", 'We know that the claim that if distance learning is self directed learning, then vaginal lubrication depends upon stimuli is false.']
|
One may reasonably assume that if the statement, condensation can also occur on other surfaces in homes, does not hold, then dust is more mobile than coarse particulates and unhealthy almost regardless of composition. So long as soup is dishs, 'the claim that dust is more mobile than coarse particulates and unhealthy almost regardless of composition has no merit' is true. Provided that most anaerobic bacteria use oxygen, we know that soup is dishs. So long as we know that the claim that if a downtown is a city district, then most anaerobic bacteria use oxygen is false, 'gerontology is a field enriched by one s experiences with older adults' is true. One may reasonably assume that if we know that the claim that if a downtown is a city district, then most anaerobic bacteria use oxygen is false, then some people mistakenly believe that gerontology is a field enriched by one s experiences with older adults. Should it be the case that wolves kill lambs, it follows that a downtown is a city district. Once we know the statement 'wolves kill lambs' can be considered false, we also know that if distance learning is self directed learning, then vaginal lubrication depends upon stimuli. We know that the claim that if distance learning is self directed learning, then vaginal lubrication depends upon stimuli is false.
|
It is rational to agree that condensation can also occur on other surfaces in homes.
|
Condensation is vital in nature and is always the same as temperature and vapour pressure in nature.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [3], then [2].
[3] [SC2-3]
Therefore, [2].
[SC2-3]
Modus Ponens:
If [4], then [3]. [SC1-4]
[4] [SC2-4]
Therefore, [3].
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [4], then [3].).), then [6].
If (Not (If [4], then [3].).), then (Not [6].).
Therefore, If [4], then [3]..
[SC2-4]
Modus Ponens:
If [5], then [4].
[5] [SC2-5]
Therefore, [4].
[SC2-5]
Modus Tonens:
If (Not [5].), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, [5].
|
{0: 'Condensation can also occur on other surfaces in homes.', 1: 'Dust is more mobile than coarse particulates and unhealthy almost regardless of composition.', 2: 'Soup is dishs.', 3: 'Most anaerobic bacteria use oxygen.', 4: 'A downtown is a city district.', 5: 'Wolves kill lambs.', 6: 'Gerontology is a field enriched by one s experiences with older adults.', 7: 'Distance learning is self directed learning.', 8: 'Vaginal lubrication depends upon stimuli.'}
| 7 |
6,437 |
["Given that the statement that 'either coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores or if those that suggest solar panels charge truck batteries that drive the paddlewheels in the basins are wrong, then prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion' is incorrect, it can be inferred that either new stars are formed in the nebulae or mosquitoes reach adulthood.", "So long as the statement that 'either coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores or if those that suggest solar panels charge truck batteries that drive the paddlewheels in the basins are wrong, then prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion' is incorrect, 'some people mistakenly believe that either new stars are formed in the nebulae or mosquitoes reach adulthood' is true.", 'Given that coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores, it can be inferred that if some apatites display a yellow fluorescence under ultraviolet light, then most sea ice has surfaces.', 'Assuming coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores, we know that the claim that if some apatites display a yellow fluorescence under ultraviolet light, then most sea ice has surfaces is false.', 'When it is not true that if wood ticks require a blood meal from three different hosts to complete their development, then the claim that prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion does not correspond with reality is true, it follows that suicidal individuals are afraid to get help for fear of adding to their pain.', "The statement 'suicidal individuals are afraid to get help for fear of adding to their pain' can be considered false.", "On the condition that the statement 'wood ticks require a blood meal from three different hosts to complete their development' can be considered false, it is definitely the case that poor nutrition can cause disease.", "Assuming the statement 'wood ticks require a blood meal from three different hosts to complete their development' can be considered false, we know that the claim that poor nutrition can cause disease does not reflect reality."]
|
Given that the statement that 'either coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores or if those that suggest solar panels charge truck batteries that drive the paddlewheels in the basins are wrong, then prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion' is incorrect, it can be inferred that either new stars are formed in the nebulae or mosquitoes reach adulthood. So long as the statement that 'either coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores or if those that suggest solar panels charge truck batteries that drive the paddlewheels in the basins are wrong, then prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion' is incorrect, 'some people mistakenly believe that either new stars are formed in the nebulae or mosquitoes reach adulthood' is true. Given that coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores, it can be inferred that if some apatites display a yellow fluorescence under ultraviolet light, then most sea ice has surfaces. Assuming coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores, we know that the claim that if some apatites display a yellow fluorescence under ultraviolet light, then most sea ice has surfaces is false. When it is not true that if wood ticks require a blood meal from three different hosts to complete their development, then the claim that prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion does not correspond with reality is true, it follows that suicidal individuals are afraid to get help for fear of adding to their pain. The statement 'suicidal individuals are afraid to get help for fear of adding to their pain' can be considered false. On the condition that the statement 'wood ticks require a blood meal from three different hosts to complete their development' can be considered false, it is definitely the case that poor nutrition can cause disease. Assuming the statement 'wood ticks require a blood meal from three different hosts to complete their development' can be considered false, we know that the claim that poor nutrition can cause disease does not reflect reality.
|
Many people rightly believe that solar panels charge truck batteries that drive the paddlewheels in the basins.
|
Many people rightly believe that solar panels charge truck batteries that drive the paddlewheels in the basins.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].).
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not (Either [5] or [6].).).
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (If [7], then [8].).
If [2], then (Not (If [7], then [8].).).
Therefore, Not [2]..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].). [SC1-2]
[3] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then [4].
Not [4].
Therefore, If [3], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [9].
If (Not [3].), then (Not [9].).
Therefore, [3].
|
{0: 'Solar panels charge truck batteries that drive the paddlewheels in the basins.', 1: 'Prion proteins can adopt a certain three-dimensional shape that differs from that of a normal prion.', 2: 'Coastal marshes are wetlands with fresh water, brackish water or salt water along tidal shores.', 3: 'Wood ticks require a blood meal from three different hosts to complete their development.', 4: 'Suicidal individuals are afraid to get help for fear of adding to their pain.', 5: 'New stars are formed in the nebulae.', 6: 'Mosquitoes reach adulthood.', 7: 'Some apatites display a yellow fluorescence under ultraviolet light.', 8: 'Most sea ice has surfaces.', 9: 'Poor nutrition can cause disease.'}
| 7 |
6,563 |
['It is rational to believe that either either agricultural use includes production of crops, livestock, poultry, fish, or cover crops or culture also includes norms and values or anthrax is an acute infectious disease caused by spore-forming bacteria.', 'One may reasonably assume that if anthrax is an acute infectious disease caused by spore-forming bacteria, then those that suggest specimens illustrate diversity are wrong.', 'It is not the case that if many European countries demand phytosanitary certificates in order to accept imported honey, then behavioral therapy helps people cope with chronic illnesses or recurring medical problems.', "The statement 'insurance is a way of reducing some financial threats to a business' can be considered false.", 'Provided that either most upper epidermises have numerous stomata or some small intestines absorb alcohol, we know that it is not true that stings are slender metal rods used to project the sensors into place.', 'It is rational to believe that either most upper epidermises have numerous stomata or some small intestines absorb alcohol.', "Those that suggest light comes from a star's surface are wrong.", "Whenever it is true that the statement 'either light comes from a star's surface or if the claim that if the claim that either if many European countries demand phytosanitary certificates in order to accept imported honey, then behavioral therapy helps people cope with chronic illnesses or recurring medical problems or if either agricultural use includes production of crops, livestock, poultry, fish, or cover crops or culture also includes norms and values , then those that suggest specimens illustrate diversity are wrong does not correspond with reality, then stings are slender metal rods used to project the sensors into place has no merit, then insurance is a way of reducing some financial threats to a business' can be considered false, 'many people put food out for birds, but fewer provide a regular supply of clean water' is true.", 'The claim that many people put food out for birds, but fewer provide a regular supply of clean water does not correspond with reality.']
|
It is rational to believe that either either agricultural use includes production of crops, livestock, poultry, fish, or cover crops or culture also includes norms and values or anthrax is an acute infectious disease caused by spore-forming bacteria. One may reasonably assume that if anthrax is an acute infectious disease caused by spore-forming bacteria, then those that suggest specimens illustrate diversity are wrong. It is not the case that if many European countries demand phytosanitary certificates in order to accept imported honey, then behavioral therapy helps people cope with chronic illnesses or recurring medical problems. The statement 'insurance is a way of reducing some financial threats to a business' can be considered false. Provided that either most upper epidermises have numerous stomata or some small intestines absorb alcohol, we know that it is not true that stings are slender metal rods used to project the sensors into place. It is rational to believe that either most upper epidermises have numerous stomata or some small intestines absorb alcohol. Those that suggest light comes from a star's surface are wrong. Whenever it is true that the statement 'either light comes from a star's surface or if the claim that if the claim that either if many European countries demand phytosanitary certificates in order to accept imported honey, then behavioral therapy helps people cope with chronic illnesses or recurring medical problems or if either agricultural use includes production of crops, livestock, poultry, fish, or cover crops or culture also includes norms and values , then those that suggest specimens illustrate diversity are wrong does not correspond with reality, then stings are slender metal rods used to project the sensors into place has no merit, then insurance is a way of reducing some financial threats to a business' can be considered false, 'many people put food out for birds, but fewer provide a regular supply of clean water' is true. The claim that many people put food out for birds, but fewer provide a regular supply of clean water does not correspond with reality.
|
Those that suggest specimens illustrate diversity are wrong.
|
Those that suggest specimens illustrate diversity are wrong.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).). [SC1-2]
Not (If [4], then [5].).
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6].).), then [7]. [SC1-4]
Not [7].
Therefore, If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6]..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6].).), then [7].). [SC1-5]
Not [10].
Therefore, If (Not (If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6].).), then [7]..
[SC1-5]
Modus Tonens:
If (Not (Either [10] or (If (Not (If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6].).), then [7].).).), then [11].
Not [11].
Therefore, Either [10] or (If (Not (If (Not (Either (If [4], then [5].) or (If (Either [1] or [2].), then (Not [0].).).).), then [6].).), then [7].)..
[SC2-3]
Modus Ponens:
If (Either [8] or [9].), then (Not [6].).
Either [8] or [9].
Therefore, Not [6]..
|
{0: 'Specimens illustrate diversity.', 1: 'Agricultural use includes production of crops, livestock, poultry, fish, or cover crops.', 2: 'Culture also includes norms and values .', 3: 'Anthrax is an acute infectious disease caused by spore-forming bacteria.', 4: 'Many European countries demand phytosanitary certificates in order to accept imported honey.', 5: 'Behavioral therapy helps people cope with chronic illnesses or recurring medical problems.', 6: 'Stings are slender metal rods used to project the sensors into place.', 7: 'Insurance is a way of reducing some financial threats to a business.', 8: 'Most upper epidermises have numerous stomata.', 9: 'Some small intestines absorb alcohol.', 10: "Light comes from a star's surface.", 11: 'Many people put food out for birds, but fewer provide a regular supply of clean water.'}
| 7 |
6,720 |
['When observation is an observation that uses the five senses is true, it follows that if it is a common misconception that love is the greatest feeling in the world, then transistors are devices found in many electronic instruments, such as radios and televisions.', "The statement 'observation is an observation that uses the five senses' is true.", 'We know that the claim that most koalas are inside zoos is false.', 'The statement that states most african lungfishes inhabit water is false.', 'There is good reason to believe that either if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored or if the claim that either most koalas are inside zoos or if it is a common misconception that love is the greatest feeling in the world, then it is not true that transistors are devices found in many electronic instruments, such as radios and televisions does not correspond with reality, then most african lungfishes inhabit water.', 'Provided that cotton candy is candy, we know that the statement that states if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored is false.', "So long as either pricing is defined by the numbers of simultaneous users or some light bulbs work on principles, 'the statement that states if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored is false' is true.", 'Should it be the case that the statement, either cotton candy is candy or either pricing is defined by the numbers of simultaneous users or some light bulbs work on principles, does not hold, it follows that most bears depend on ground.', 'We know that the claim that most bears depend on ground is false.']
|
When observation is an observation that uses the five senses is true, it follows that if it is a common misconception that love is the greatest feeling in the world, then transistors are devices found in many electronic instruments, such as radios and televisions. The statement 'observation is an observation that uses the five senses' is true. We know that the claim that most koalas are inside zoos is false. The statement that states most african lungfishes inhabit water is false. There is good reason to believe that either if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored or if the claim that either most koalas are inside zoos or if it is a common misconception that love is the greatest feeling in the world, then it is not true that transistors are devices found in many electronic instruments, such as radios and televisions does not correspond with reality, then most african lungfishes inhabit water. Provided that cotton candy is candy, we know that the statement that states if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored is false. So long as either pricing is defined by the numbers of simultaneous users or some light bulbs work on principles, 'the statement that states if colonization has historical, political, economic, social, and ecological aspects, then earthworms are most abundant around old farms and places where manure has been piled or stored is false' is true. Should it be the case that the statement, either cotton candy is candy or either pricing is defined by the numbers of simultaneous users or some light bulbs work on principles, does not hold, it follows that most bears depend on ground. We know that the claim that most bears depend on ground is false.
|
The statement that states love is the greatest feeling in the world is right.
|
Love is the bond of perfection.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [3].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If (Not [0].), then (Not [1].).).).), then [4]. [SC1-3]
Not [4].
Therefore, Either [3] or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If (Not (Either [3] or (If (Not [0].), then (Not [1].).).).), then [4].).
Not (If [5], then [6].). [SC2-4]
Therefore, If (Not (Either [3] or (If (Not [0].), then (Not [1].).).).), then [4]..
[SC2-4]
Disjunction Elimination:
Either [7] or (Either [8] or [9].). [SC1-5]
If [7], then (Not (If [5], then [6].).).
If (Either [8] or [9].), then (Not (If [5], then [6].).).
Therefore, Not (If [5], then [6].)..
[SC1-5]
Modus Tonens:
If (Not (Either [7] or (Either [8] or [9].).).), then [10].
Not [10].
Therefore, Either [7] or (Either [8] or [9].)..
|
{0: 'Love is the greatest feeling in the world.', 1: 'Transistors are devices found in many electronic instruments, such as radios and televisions.', 2: 'Observation is an observation that uses the five senses.', 3: 'Most koalas are inside zoos.', 4: 'Most african lungfishes inhabit water.', 5: 'Colonization has historical, political, economic, social, and ecological aspects.', 6: 'Earthworms are most abundant around old farms and places where manure has been piled or stored.', 7: 'Cotton candy is candy.', 8: 'Pricing is defined by the numbers of simultaneous users.', 9: 'Some light bulbs work on principles.', 10: 'Most bears depend on ground.'}
| 7 |
6,890 |
['The statement, surface water is water from lakes, rivers, streams, ponds and reservoirs, does not hold.', 'Provided that a cypher is a message, we know that if the claim that smoking is banned in many public places and transit vehicles does not reflect reality, then surface water is water from lakes, rivers, streams, ponds and reservoirs.', 'Should it be the case that bare floor is a better heat conductor than carpeted floor, it follows that if the claim that smoking is banned in many public places and transit vehicles does not reflect reality, then surface water is water from lakes, rivers, streams, ponds and reservoirs.', 'It is a common misconception that cancer is illnesses.', "We know that either if rape is unwanted sexual intercourse, then hindu funerals can only take place in India or the statement 'if man poses the biggest threat to plants, more so than any other single living organism or species, then most crabs have outer shells' can be considered false.", 'It is a fact that either most vitamins help prevent abnormalities or if it is not true that either if man poses the biggest threat to plants, more so than any other single living organism or species, then most crabs have outer shells or either a cypher is a message or bare floor is a better heat conductor than carpeted floor, then cancer is illnesses.', 'The claim that most vitamins help prevent abnormalities has no merit.', "Whenever it is true that if rape is unwanted sexual intercourse, then hindu funerals can only take place in India, 'valacyclovir hydrochloride is converted to acyclovir' is true.", 'Should it be the case that if rape is unwanted sexual intercourse, then hindu funerals can only take place in India, it follows that the statement, valacyclovir hydrochloride is converted to acyclovir, does not hold.']
|
The statement, surface water is water from lakes, rivers, streams, ponds and reservoirs, does not hold. Provided that a cypher is a message, we know that if the claim that smoking is banned in many public places and transit vehicles does not reflect reality, then surface water is water from lakes, rivers, streams, ponds and reservoirs. Should it be the case that bare floor is a better heat conductor than carpeted floor, it follows that if the claim that smoking is banned in many public places and transit vehicles does not reflect reality, then surface water is water from lakes, rivers, streams, ponds and reservoirs. It is a common misconception that cancer is illnesses. We know that either if rape is unwanted sexual intercourse, then hindu funerals can only take place in India or the statement 'if man poses the biggest threat to plants, more so than any other single living organism or species, then most crabs have outer shells' can be considered false. It is a fact that either most vitamins help prevent abnormalities or if it is not true that either if man poses the biggest threat to plants, more so than any other single living organism or species, then most crabs have outer shells or either a cypher is a message or bare floor is a better heat conductor than carpeted floor, then cancer is illnesses. The claim that most vitamins help prevent abnormalities has no merit. Whenever it is true that if rape is unwanted sexual intercourse, then hindu funerals can only take place in India, 'valacyclovir hydrochloride is converted to acyclovir' is true. Should it be the case that if rape is unwanted sexual intercourse, then hindu funerals can only take place in India, it follows that the statement, valacyclovir hydrochloride is converted to acyclovir, does not hold.
|
smoking is banned in many public places and transit vehicles.
|
Smoking is banned in many public places and transit vehicles.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Either [2] or [3].). [SC1-3]
Not (If [4], then [5].). [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Tonens:
If (Not (Either (If [4], then [5].) or (Either [2] or [3].).).), then [8]. [SC1-4]
Not [8].
Therefore, Either (If [4], then [5].) or (Either [2] or [3].)..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (If (Not (Either (If [4], then [5].) or (Either [2] or [3].).).), then [8].).
Not [9].
Therefore, If (Not (Either (If [4], then [5].) or (Either [2] or [3].).).), then [8]..
[SC2-3]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Not (If [4], then [5].).).
Not (If [6], then [7].). [SC2-4]
Therefore, Not (If [4], then [5].)..
[SC2-4]
Reductio Ad Absurdum:
If (If [6], then [7].), then [10].
If (If [6], then [7].), then (Not [10].).
Therefore, Not (If [6], then [7].)..
|
{0: 'Smoking is banned in many public places and transit vehicles.', 1: 'Surface water is water from lakes, rivers, streams, ponds and reservoirs.', 2: 'A cypher is a message.', 3: 'Bare floor is a better heat conductor than carpeted floor.', 4: 'Man poses the biggest threat to plants, more so than any other single living organism or species.', 5: 'Most crabs have outer shells.', 6: 'Rape is unwanted sexual intercourse.', 7: 'Hindu funerals can only take place in India.', 8: 'Cancer is illnesses.', 9: 'Most vitamins help prevent abnormalities.', 10: 'Valacyclovir hydrochloride is converted to acyclovir.'}
| 7 |
6,219 |
['When the statement that states necklaces are used for chokes is false is true, it follows that journalism is the collection and periodical publication of news.', 'One may reasonably assume that if ice is a poor conductor of electricity source , then if the statement that states necklaces are used for chokes is false, then the claim that journalism is the collection and periodical publication of news does not correspond with reality.', 'Should it be the case that if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions, it follows that if the statement that states necklaces are used for chokes is false, then the claim that journalism is the collection and periodical publication of news does not correspond with reality.', "When the statement that 'either holograms are light records of three dimensional objects or spaces or either ice is a poor conductor of electricity source or animals are less apt to roam' is incorrect is true, it follows that modern taxonomies rank the group as a phylum or subphylum.", 'The claim that modern taxonomies rank the group as a phylum or subphylum has no merit.', 'It is a fact that either some large fish have swords or needles have a disagreeable odor when crushed.', "So long as some large fish have swords, 'we know that the claim that holograms are light records of three dimensional objects or spaces is false' is true.", 'When needles have a disagreeable odor when crushed is true, it follows that we know that the claim that holograms are light records of three dimensional objects or spaces is false.', 'It is rational to believe that either some parents worry that if their infants use pacifiers, tooth problems are sure to follow or if laparascopic surgery offers hope for patients with carpal tunnel syndrome, then vernal ponds hold water.', 'On the condition that some parents worry that if their infants use pacifiers, tooth problems are sure to follow, it is definitely the case that if animals are less apt to roam, then if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions.', 'On the condition that if laparascopic surgery offers hope for patients with carpal tunnel syndrome, then vernal ponds hold water, it is definitely the case that if animals are less apt to roam, then if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions.']
|
When the statement that states necklaces are used for chokes is false is true, it follows that journalism is the collection and periodical publication of news. One may reasonably assume that if ice is a poor conductor of electricity source , then if the statement that states necklaces are used for chokes is false, then the claim that journalism is the collection and periodical publication of news does not correspond with reality. Should it be the case that if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions, it follows that if the statement that states necklaces are used for chokes is false, then the claim that journalism is the collection and periodical publication of news does not correspond with reality. When the statement that 'either holograms are light records of three dimensional objects or spaces or either ice is a poor conductor of electricity source or animals are less apt to roam' is incorrect is true, it follows that modern taxonomies rank the group as a phylum or subphylum. The claim that modern taxonomies rank the group as a phylum or subphylum has no merit. It is a fact that either some large fish have swords or needles have a disagreeable odor when crushed. So long as some large fish have swords, 'we know that the claim that holograms are light records of three dimensional objects or spaces is false' is true. When needles have a disagreeable odor when crushed is true, it follows that we know that the claim that holograms are light records of three dimensional objects or spaces is false. It is rational to believe that either some parents worry that if their infants use pacifiers, tooth problems are sure to follow or if laparascopic surgery offers hope for patients with carpal tunnel syndrome, then vernal ponds hold water. On the condition that some parents worry that if their infants use pacifiers, tooth problems are sure to follow, it is definitely the case that if animals are less apt to roam, then if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions. On the condition that if laparascopic surgery offers hope for patients with carpal tunnel syndrome, then vernal ponds hold water, it is definitely the case that if animals are less apt to roam, then if cells can produce gametes only after they have reached a critical size, then parables are common in the holy scriptures of many religions.
|
It is fair to say that necklaces are used for chokes.
|
It is fair to say that necklaces are used for chokes.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (Either [2] or [3].).).), then [7].
Not [7].
Therefore, Either [4] or (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [4].).
If [9], then (Not [4].).
Therefore, Not [4]..
[SC3-2]
Hypothetical Syllogism:
If [3], then (If [5], then [6].). [SC1-3]
If (If [5], then [6].), then (If (Not [0].), then (Not [1].).).
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (If [3], then (If [5], then [6].).).
If (If [11], then [12].), then (If [3], then (If [5], then [6].).).
Therefore, If [3], then (If [5], then [6].)..
|
{0: 'Necklaces are used for chokes.', 1: 'Journalism is the collection and periodical publication of news.', 2: 'Ice is a poor conductor of electricity source .', 3: 'Animals are less apt to roam.', 4: 'Holograms are light records of three dimensional objects or spaces.', 5: 'Cells can produce gametes only after they have reached a critical size.', 6: 'Parables are common in the holy scriptures of many religions.', 7: 'Modern taxonomies rank the group as a phylum or subphylum.', 8: 'Some large fish have swords.', 9: 'Needles have a disagreeable odor when crushed.', 10: 'Some parents worry that if their infants use pacifiers, tooth problems are sure to follow.', 11: 'Laparascopic surgery offers hope for patients with carpal tunnel syndrome.', 12: 'Vernal ponds hold water.'}
| 7 |
6,678 |
['Once we know strong muscles help support and protect joints affected by arthritis, we also know that larger fish eat the smaller fish and the mercury builds up in their tissues.', 'Once we know if gas is forced through catalyst by pressure, then termites eat the wood they infest and as a result there isn t any sawdust, we also know that if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis.', "If the claim that if forest fires behave by their own set of rules, then if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis is false, then egocentric people are often unable to fully understand or to cope with other people's opinions.", "When the claim that if forest fires behave by their own set of rules, then if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis is false is true, it follows that the statement, egocentric people are often unable to fully understand or to cope with other people's opinions, does not hold.", 'It is a fact that either diverse food promotes healing wounds, immunity, hunting capacity, and proper casting or either if mangrove forests dominate the coastlines of the worlds tropical and subtropical oceans, then some people choose to continue to live with disruptive emotions or either forest fires behave by their own set of rules or if gas is forced through catalyst by pressure, then termites eat the wood they infest and as a result there isn t any sawdust.', 'The claim that diverse food promotes healing wounds, immunity, hunting capacity, and proper casting does not correspond with reality.', 'Either one or both of these statements are true: some nonspecific mechanisms involve in parasite resistance, or the statement that states if mangrove forests dominate the coastlines of the worlds tropical and subtropical oceans, then some people choose to continue to live with disruptive emotions is false.', 'At least one of two things is true: hips are particularly vulnerable to deformity, or asceticism is thus a refusal to accept fear as the final state of our being.', 'Once we know hips are particularly vulnerable to deformity, we also know that the statement, some nonspecific mechanisms involve in parasite resistance, does not hold.', 'On the condition that asceticism is thus a refusal to accept fear as the final state of our being, it is definitely the case that the statement, some nonspecific mechanisms involve in parasite resistance, does not hold.']
|
Once we know strong muscles help support and protect joints affected by arthritis, we also know that larger fish eat the smaller fish and the mercury builds up in their tissues. Once we know if gas is forced through catalyst by pressure, then termites eat the wood they infest and as a result there isn t any sawdust, we also know that if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis. If the claim that if forest fires behave by their own set of rules, then if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis is false, then egocentric people are often unable to fully understand or to cope with other people's opinions. When the claim that if forest fires behave by their own set of rules, then if large heads are often a familial feature, then strong muscles help support and protect joints affected by arthritis is false is true, it follows that the statement, egocentric people are often unable to fully understand or to cope with other people's opinions, does not hold. It is a fact that either diverse food promotes healing wounds, immunity, hunting capacity, and proper casting or either if mangrove forests dominate the coastlines of the worlds tropical and subtropical oceans, then some people choose to continue to live with disruptive emotions or either forest fires behave by their own set of rules or if gas is forced through catalyst by pressure, then termites eat the wood they infest and as a result there isn t any sawdust. The claim that diverse food promotes healing wounds, immunity, hunting capacity, and proper casting does not correspond with reality. Either one or both of these statements are true: some nonspecific mechanisms involve in parasite resistance, or the statement that states if mangrove forests dominate the coastlines of the worlds tropical and subtropical oceans, then some people choose to continue to live with disruptive emotions is false. At least one of two things is true: hips are particularly vulnerable to deformity, or asceticism is thus a refusal to accept fear as the final state of our being. Once we know hips are particularly vulnerable to deformity, we also know that the statement, some nonspecific mechanisms involve in parasite resistance, does not hold. On the condition that asceticism is thus a refusal to accept fear as the final state of our being, it is definitely the case that the statement, some nonspecific mechanisms involve in parasite resistance, does not hold.
|
On the condition that large heads are often a familial feature, it is definitely the case that larger fish eat the smaller fish and the mercury builds up in their tissues.
|
Should it be the case that sea stacks represent erosional remnants following sea cliff retreat, it follows that larger fish eat the smaller fish and the mercury builds up in their tissues.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1].
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].). [SC1-2]
If [3], then (If [0], then [2].). [SC2-2]
If (If [4], then [5].), then (If [0], then [2].).
Therefore, If [0], then [2]..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Either [3] or (If [4], then [5].).). [SC1-3]
Not (If [6], then [7].). [SC2-3]
Therefore, Either [3] or (If [4], then [5].)..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (Either (If [6], then [7].) or (Either [3] or (If [4], then [5].).).).
Not [10].
Therefore, Either (If [6], then [7].) or (Either [3] or (If [4], then [5].).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (Not (If [6], then [7].).).
Not [9]. [SC2-4]
Therefore, Not (If [6], then [7].)..
[SC2-4]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Not [9].).
If [12], then (Not [9].).
Therefore, Not [9]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [0], then [2].).).), then [8].
If (Not (If [3], then (If [0], then [2].).).), then (Not [8].).
Therefore, If [3], then (If [0], then [2].)..
|
{0: 'Large heads are often a familial feature.', 1: 'Larger fish eat the smaller fish and the mercury builds up in their tissues.', 2: 'Strong muscles help support and protect joints affected by arthritis.', 3: 'Forest fires behave by their own set of rules.', 4: 'Gas is forced through catalyst by pressure.', 5: 'Termites eat the wood they infest and as a result there isn t any sawdust.', 6: 'Mangrove forests dominate the coastlines of the worlds tropical and subtropical oceans.', 7: 'Some people choose to continue to live with disruptive emotions.', 8: "Egocentric people are often unable to fully understand or to cope with other people's opinions.", 9: 'Some nonspecific mechanisms involve in parasite resistance.', 10: 'Diverse food promotes healing wounds, immunity, hunting capacity, and proper casting.', 11: 'Hips are particularly vulnerable to deformity.', 12: 'Asceticism is thus a refusal to accept fear as the final state of our being.'}
| 7 |
6,586 |
["At least one of two things is true: straight connectors consist of straight lines connecting each vertex, or if the statement, if those that suggest philosophy furnishes the resources for integrating knowledge and values into a coherent whole are wrong, then rats are animals, does not hold, then either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint.", 'It is not the case that straight connectors consist of straight lines connecting each vertex.', "If either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint, then either iron levels are similar in both elderly women with or without rheumatoid arthritis or marine biologists study fish and other wildlife that inhabit the oceans.", "Provided that either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint, we know that it is not the case that either iron levels are similar in both elderly women with or without rheumatoid arthritis or marine biologists study fish and other wildlife that inhabit the oceans.", 'We know that either most people regain the weight they lose when they go on a diet or if rats are animals, then cars cause a desire to drives.', "The statement that 'most people regain the weight they lose when they go on a diet' is incorrect.", "On the condition that pollution can also affect dugong physiologically through the bio accumulation of toxic compounds, it is definitely the case that if rats are animals, then the statement 'cars cause a desire to drives' can be considered false.", 'It is fair to say that pollution can also affect dugong physiologically through the bio accumulation of toxic compounds.']
|
At least one of two things is true: straight connectors consist of straight lines connecting each vertex, or if the statement, if those that suggest philosophy furnishes the resources for integrating knowledge and values into a coherent whole are wrong, then rats are animals, does not hold, then either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint. It is not the case that straight connectors consist of straight lines connecting each vertex. If either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint, then either iron levels are similar in both elderly women with or without rheumatoid arthritis or marine biologists study fish and other wildlife that inhabit the oceans. Provided that either engineers create special effects or exposure occurs from lead's presence in air, food, water, soil, dust and paint, we know that it is not the case that either iron levels are similar in both elderly women with or without rheumatoid arthritis or marine biologists study fish and other wildlife that inhabit the oceans. We know that either most people regain the weight they lose when they go on a diet or if rats are animals, then cars cause a desire to drives. The statement that 'most people regain the weight they lose when they go on a diet' is incorrect. On the condition that pollution can also affect dugong physiologically through the bio accumulation of toxic compounds, it is definitely the case that if rats are animals, then the statement 'cars cause a desire to drives' can be considered false. It is fair to say that pollution can also affect dugong physiologically through the bio accumulation of toxic compounds.
|
The idea that philosophy furnishes the resources for integrating knowledge and values into a coherent whole is true.
|
Philosophy teaches people how to understand, analyze, and evaluate concepts and arguments.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).
Not [9].
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [2] or [3].), then (Either [5] or [6].).
If (Either [2] or [3].), then (Not (Either [5] or [6].).).
Therefore, Not (Either [2] or [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 [8] or (If [1], then [4].).
Not [8].
Therefore, If [1], then [4]..
[SC2-2]
Modus Ponens:
If [7], then (If [1], then (Not [4].).).
[7]
Therefore, If [1], then (Not [4].)..
|
{0: 'Philosophy furnishes the resources for integrating knowledge and values into a coherent whole.', 1: 'Rats are animals.', 2: 'Engineers create special effects.', 3: "Exposure occurs from lead's presence in air, food, water, soil, dust and paint.", 4: 'Cars cause a desire to drives.', 5: 'Iron levels are similar in both elderly women with or without rheumatoid arthritis.', 6: 'Marine biologists study fish and other wildlife that inhabit the oceans.', 7: 'Pollution can also affect dugong physiologically through the bio accumulation of toxic compounds.', 8: 'Most people regain the weight they lose when they go on a diet.', 9: 'Straight connectors consist of straight lines connecting each vertex.'}
| 7 |
6,282 |
['Those that suggest countries have environments are right.', 'On the condition that countries have environments, it is definitely the case that mockingbirds imitate the songs and calls of other birds.', 'Those that suggest some carpels are part of carnation are wrong.', 'When negotiation is a process civilized people use to reach agreement is true, it follows that either some carpels are part of carnation or if mockingbirds imitate the songs and calls of other birds, then it is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss.', 'When a peneplain is a field is true, it follows that either some carpels are part of carnation or if mockingbirds imitate the songs and calls of other birds, then it is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss.', "Whenever it is true that the statement that states if the claim that either negotiation is a process civilized people use to reach agreement or a peneplain is a field is false, then many plants grow up with the rising waters to become emerging aquatics at high flood is false, 'food provides diets' is true.", "One may reasonably assume that if the statement that states if the claim that either negotiation is a process civilized people use to reach agreement or a peneplain is a field is false, then many plants grow up with the rising waters to become emerging aquatics at high flood is false, then the statement 'food provides diets' can be considered false.", 'At least one of two things is true: if tiger are also mascots for various sports teams around the world, then energy is important because it powers life processes, or the statement that states many plants grow up with the rising waters to become emerging aquatics at high flood is false.', 'Those that suggest if tiger are also mascots for various sports teams around the world, then energy is important because it powers life processes are wrong.']
|
Those that suggest countries have environments are right. On the condition that countries have environments, it is definitely the case that mockingbirds imitate the songs and calls of other birds. Those that suggest some carpels are part of carnation are wrong. When negotiation is a process civilized people use to reach agreement is true, it follows that either some carpels are part of carnation or if mockingbirds imitate the songs and calls of other birds, then it is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss. When a peneplain is a field is true, it follows that either some carpels are part of carnation or if mockingbirds imitate the songs and calls of other birds, then it is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss. Whenever it is true that the statement that states if the claim that either negotiation is a process civilized people use to reach agreement or a peneplain is a field is false, then many plants grow up with the rising waters to become emerging aquatics at high flood is false, 'food provides diets' is true. One may reasonably assume that if the statement that states if the claim that either negotiation is a process civilized people use to reach agreement or a peneplain is a field is false, then many plants grow up with the rising waters to become emerging aquatics at high flood is false, then the statement 'food provides diets' can be considered false. At least one of two things is true: if tiger are also mascots for various sports teams around the world, then energy is important because it powers life processes, or the statement that states many plants grow up with the rising waters to become emerging aquatics at high flood is false. Those that suggest if tiger are also mascots for various sports teams around the world, then energy is important because it powers life processes are wrong.
|
It is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss.
|
It is not true that saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [2].
If [2], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [0].).). [SC1-3]
Not [3].
Therefore, If [2], then (Not [0].)..
[SC1-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then (Either [3] or (If [2], then (Not [0].).).).
If [5], then (Either [3] or (If [2], then (Not [0].).).).
Therefore, Either [3] or (If [2], then (Not [0].).)..
[SC1-4]
Modus Tonens:
If (Not (Either [4] or [5].).), then [6]. [SC1-5]
Not [6]. [SC2-5]
Therefore, Either [4] or [5]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Not (Either [4] or [5].).), then [6].).), then [9].
If (Not (If (Not (Either [4] or [5].).), then [6].).), then (Not [9].).
Therefore, If (Not (Either [4] or [5].).), then [6]..
[SC2-5]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not [6].).
Not (If [7], then [8].).
Therefore, Not [6]..
|
{0: 'Saltwater intrusion can kill marsh vegetation and exacerbate wetlands loss.', 1: 'Countries have environments.', 2: 'Mockingbirds imitate the songs and calls of other birds.', 3: 'Some carpels are part of carnation.', 4: 'Negotiation is a process civilized people use to reach agreement.', 5: 'A peneplain is a field.', 6: 'Many plants grow up with the rising waters to become emerging aquatics at high flood.', 7: 'Tiger are also mascots for various sports teams around the world.', 8: 'Energy is important because it powers life processes.', 9: 'Food provides diets.'}
| 7 |
6,348 |
['If some people mistakenly believe that if either hunger is a political and social problem or allergies Cause by exposure to pollen or other allergens, then if those that suggest lakes are therefore a kind of colour that can be solidified are wrong, then evaluation is a long-term process that can create opportunities for greater success, then asbestos is known to pose human health hazards.', 'We know that the claim that asbestos is known to pose human health hazards is false.', "Should it be the case that the statement that 'either hunger is a political and social problem or allergies Cause by exposure to pollen or other allergens' is incorrect, it follows that either typewriters have (part) typewriter keyboards or frostbite is injuries.", 'The statement that states either typewriters have (part) typewriter keyboards or frostbite is injuries is false.', "When glaciers are important means of erosion over long periods of time is true, it follows that if either liquids form suspensions or trees use nitrogen and phosphous as nutrients, then if those that suggest lakes are therefore a kind of colour that can be solidified are wrong, then the statement 'evaluation is a long-term process that can create opportunities for greater success' can be considered false.", 'It is reasonable to believe that glaciers are important means of erosion over long periods of time.', "So long as an egis is a shell, 'either liquids form suspensions or trees use nitrogen and phosphous as nutrients' is true.", 'Those that suggest an egis is a shell are right.']
|
If some people mistakenly believe that if either hunger is a political and social problem or allergies Cause by exposure to pollen or other allergens, then if those that suggest lakes are therefore a kind of colour that can be solidified are wrong, then evaluation is a long-term process that can create opportunities for greater success, then asbestos is known to pose human health hazards. We know that the claim that asbestos is known to pose human health hazards is false. Should it be the case that the statement that 'either hunger is a political and social problem or allergies Cause by exposure to pollen or other allergens' is incorrect, it follows that either typewriters have (part) typewriter keyboards or frostbite is injuries. The statement that states either typewriters have (part) typewriter keyboards or frostbite is injuries is false. When glaciers are important means of erosion over long periods of time is true, it follows that if either liquids form suspensions or trees use nitrogen and phosphous as nutrients, then if those that suggest lakes are therefore a kind of colour that can be solidified are wrong, then the statement 'evaluation is a long-term process that can create opportunities for greater success' can be considered false. It is reasonable to believe that glaciers are important means of erosion over long periods of time. So long as an egis is a shell, 'either liquids form suspensions or trees use nitrogen and phosphous as nutrients' is true. Those that suggest an egis is a shell are right.
|
It is reasonable to believe that lakes are therefore a kind of colour that can be solidified.
|
It is reasonable to believe that lakes are therefore a kind of colour that can be solidified.
|
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 (Either [2] or [3].), then (If (Not [0].), then [1].). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (If (Not [0].), then [1].).).), then [8].
Not [8].
Therefore, If (Either [2] or [3].), then (If (Not [0].), then [1].)..
[SC2-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either [2] or [3]..
[SC2-1]
Modus Ponens:
If (Either [4] or [5].), then (If (Not [0].), then (Not [1].).). [SC1-2]
Either [4] or [5]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [10], then (If (Either [4] or [5].), then (If (Not [0].), then (Not [1].).).).
[10]
Therefore, If (Either [4] or [5].), then (If (Not [0].), then (Not [1].).)..
[SC2-2]
Modus Ponens:
If [9], then (Either [4] or [5].).
[9]
Therefore, Either [4] or [5]..
|
{0: 'Lakes are therefore a kind of colour that can be solidified.', 1: 'Evaluation is a long-term process that can create opportunities for greater success.', 2: 'Hunger is a political and social problem.', 3: 'Allergies Cause by exposure to pollen or other allergens.', 4: 'Liquids form suspensions.', 5: 'Trees use nitrogen and phosphous as nutrients.', 6: 'Typewriters have (part) typewriter keyboards.', 7: 'Frostbite is injuries.', 8: 'Asbestos is known to pose human health hazards.', 9: 'An egis is a shell.', 10: 'Glaciers are important means of erosion over long periods of time.'}
| 7 |
6,686 |
['Should it be the case that smoking is an avoidable cause of death, it follows that some plants grow in shallow water.', "Whenever it is true that the claim that if monochromatic light has one frequency, then smoking is an avoidable cause of death does not reflect reality, 'flamingos live in environments' is true.", 'On the condition that the claim that either either technology is a function of all other aspects of society, e.g. religion, politics, environment or ground water is water that has gone through the turbines of a hydro-electric plant or combined sewers are old sewer systems that receive both sewage and stormwater runoff has no merit, it is definitely the case that abortion performed under unsafe conditions is a serious threat to reproductive health.', "The notion that 'abortion performed under unsafe conditions is a serious threat to reproductive health' is untrue.", 'We know that at least one of two things is true: people rely on plants in every aspect of their daily life, or if either technology is a function of all other aspects of society, e.g. religion, politics, environment or ground water is water that has gone through the turbines of a hydro-electric plant, then the claim that flamingos live in environments is false.', "The notion that 'people rely on plants in every aspect of their daily life' is untrue.", 'One may reasonably assume that if combined sewers are old sewer systems that receive both sewage and stormwater runoff, then some bats avoid obstacles.', "So long as the claim that if some bats avoid obstacles, then the claim that flamingos live in environments is false is false, 'sleep talking is more common than sleep walking, but the two often occur together' is true.", 'The claim that sleep talking is more common than sleep walking, but the two often occur together is false.']
|
Should it be the case that smoking is an avoidable cause of death, it follows that some plants grow in shallow water. Whenever it is true that the claim that if monochromatic light has one frequency, then smoking is an avoidable cause of death does not reflect reality, 'flamingos live in environments' is true. On the condition that the claim that either either technology is a function of all other aspects of society, e.g. religion, politics, environment or ground water is water that has gone through the turbines of a hydro-electric plant or combined sewers are old sewer systems that receive both sewage and stormwater runoff has no merit, it is definitely the case that abortion performed under unsafe conditions is a serious threat to reproductive health. The notion that 'abortion performed under unsafe conditions is a serious threat to reproductive health' is untrue. We know that at least one of two things is true: people rely on plants in every aspect of their daily life, or if either technology is a function of all other aspects of society, e.g. religion, politics, environment or ground water is water that has gone through the turbines of a hydro-electric plant, then the claim that flamingos live in environments is false. The notion that 'people rely on plants in every aspect of their daily life' is untrue. One may reasonably assume that if combined sewers are old sewer systems that receive both sewage and stormwater runoff, then some bats avoid obstacles. So long as the claim that if some bats avoid obstacles, then the claim that flamingos live in environments is false is false, 'sleep talking is more common than sleep walking, but the two often occur together' is true. The claim that sleep talking is more common than sleep walking, but the two often occur together is false.
|
One may reasonably assume that if monochromatic light has one frequency, then some plants grow in shallow water.
|
One may reasonably assume that if monochromatic light is light in which all photons have the same wavelength, then some plants grow in shallow water.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1].
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [2].).), then [3].
Not [3]. [SC2-2]
Therefore, If [0], then [2]..
[SC2-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-3]
If (Either [4] or [5].), then (Not [3].). [SC2-3]
If [6], then (Not [3].). [SC3-3]
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [4] or [5].) or [6].).), then [8].
Not [8].
Therefore, Either (Either [4] or [5].) or [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Either [4] or [5].), then (Not [3].).).
Not [7].
Therefore, If (Either [4] or [5].), then (Not [3].)..
[SC3-3]
Hypothetical Syllogism:
If [6], then [9].
If [9], then (Not [3].). [SC2-4]
Therefore, If [6], then (Not [3].)..
[SC2-4]
Modus Tonens:
If (Not (If [9], then (Not [3].).).), then [10].
Not [10].
Therefore, If [9], then (Not [3].)..
|
{0: 'Monochromatic light has one frequency.', 1: 'Some plants grow in shallow water.', 2: 'Smoking is an avoidable cause of death.', 3: 'Flamingos live in environments.', 4: 'Technology is a function of all other aspects of society, e.g. religion, politics, environment.', 5: 'Ground water is water that has gone through the turbines of a hydro-electric plant.', 6: 'Combined sewers are old sewer systems that receive both sewage and stormwater runoff.', 7: 'People rely on plants in every aspect of their daily life.', 8: 'Abortion performed under unsafe conditions is a serious threat to reproductive health.', 9: 'Some bats avoid obstacles.', 10: 'Sleep talking is more common than sleep walking, but the two often occur together.'}
| 7 |
6,004 |
['If organic mulches have a tendency to attract slugs, snail and sow bugs, then fat is fat.', "Whenever it is true that hammers have (part) handles, 'fat is fat' is true.", 'We know that at least one of two things is true: either balance is important for horses, too or a web log is a diary, or most places have maps and information.', "Whenever it is true that most places have maps and information, 'either organic mulches have a tendency to attract slugs, snail and sow bugs or hammers have (part) handles' is true.", 'Should it be the case that pair production happens sometimes in radiation therapy treatments with high-energy photon beams , it follows that a bartlett is a pear.', 'The statement that states vitamins are organic substances necessary for life and essential for the body to function normally is false.', 'We know that either either muscle is more dense than fat or terrorism is a way of thinking or either hedgehogs have (part) piluses or either vitamins are organic substances necessary for life and essential for the body to function normally or if if pair production happens sometimes in radiation therapy treatments with high-energy photon beams , then a bartlett is a pear, then if either balance is important for horses, too or a web log is a diary, then either organic mulches have a tendency to attract slugs, snail and sow bugs or hammers have (part) handles.', "The statement 'either muscle is more dense than fat or terrorism is a way of thinking' can be considered false.", 'If whisk isa mixer, then the claim that hedgehogs have (part) piluses is false.', 'The claim that whisk isa mixer is true.']
|
If organic mulches have a tendency to attract slugs, snail and sow bugs, then fat is fat. Whenever it is true that hammers have (part) handles, 'fat is fat' is true. We know that at least one of two things is true: either balance is important for horses, too or a web log is a diary, or most places have maps and information. Whenever it is true that most places have maps and information, 'either organic mulches have a tendency to attract slugs, snail and sow bugs or hammers have (part) handles' is true. Should it be the case that pair production happens sometimes in radiation therapy treatments with high-energy photon beams , it follows that a bartlett is a pear. The statement that states vitamins are organic substances necessary for life and essential for the body to function normally is false. We know that either either muscle is more dense than fat or terrorism is a way of thinking or either hedgehogs have (part) piluses or either vitamins are organic substances necessary for life and essential for the body to function normally or if if pair production happens sometimes in radiation therapy treatments with high-energy photon beams , then a bartlett is a pear, then if either balance is important for horses, too or a web log is a diary, then either organic mulches have a tendency to attract slugs, snail and sow bugs or hammers have (part) handles. The statement 'either muscle is more dense than fat or terrorism is a way of thinking' can be considered false. If whisk isa mixer, then the claim that hedgehogs have (part) piluses is false. The claim that whisk isa mixer is true.
|
It is true that fat is fat.
|
Fat is a molecule.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (Either [1] or [2].). [SC2-2]
If [5], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-2]
Modus Ponens:
If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).). [SC1-3]
If [6], then [7].
Therefore, If (Either [3] or [4].), then (Either [1] or [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).).). [SC1-4]
Not [8].
Therefore, If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).)..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (Either [8] or (If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).).).). [SC1-5]
Not [9]. [SC2-5]
Therefore, Either [8] or (If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).).)..
[SC1-5]
Disjunctive Syllogism:
Either (Either [11] or [12].) or (Either [9] or (Either [8] or (If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).).).).).
Not (Either [11] or [12].).
Therefore, Either [9] or (Either [8] or (If (If [6], then [7].), then (If (Either [3] or [4].), then (Either [1] or [2].).).).)..
[SC2-5]
Modus Ponens:
If [10], then (Not [9].).
[10]
Therefore, Not [9]..
|
{0: 'Fat is fat.', 1: 'Organic mulches have a tendency to attract slugs, snail and sow bugs.', 2: 'Hammers have (part) handles.', 3: 'Balance is important for horses, too.', 4: 'A web log is a diary.', 5: 'Most places have maps and information.', 6: 'Pair production happens sometimes in radiation therapy treatments with high-energy photon beams .', 7: 'A bartlett is a pear.', 8: 'Vitamins are organic substances necessary for life and essential for the body to function normally.', 9: 'Hedgehogs have (part) piluses.', 10: 'Whisk isa mixer.', 11: 'Muscle is more dense than fat.', 12: 'Terrorism is a way of thinking.'}
| 7 |
6,995 |
['If web design is much more than conveying a message via the Internet, then if lobes are loops, then if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen.', 'Assuming we know that the claim that either web design is much more than conveying a message via the Internet or either butter beans require a warmer soil than snap beans or rock drawings are pictures carved or cut on plane smooth rocks is false, we know that scientists have a social responsibility.', 'The claim that scientists have a social responsibility is false.', 'We know that either if immigration is a relationship between countries, forged by people passing back and forth, then neon is chemical elements or if either butter beans require a warmer soil than snap beans or rock drawings are pictures carved or cut on plane smooth rocks, then if lobes are loops, then if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen.', 'The statement, if immigration is a relationship between countries, forged by people passing back and forth, then neon is chemical elements, does not hold.', "So long as those that suggest if the statement that states lobes are loops is false, then some talons are part of waterfowls are wrong, 'medical education is a partnership of public and private enterprise' is true.", 'The statement, medical education is a partnership of public and private enterprise, does not hold.', "If the claim that if the statement that states lobes are loops is false, then the statement 'some talons are part of waterfowls' can be considered false is false, then crypts are the site of intestinal fluid and electrolyte secretion.", 'Those that suggest crypts are the site of intestinal fluid and electrolyte secretion are wrong.']
|
If web design is much more than conveying a message via the Internet, then if lobes are loops, then if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen. Assuming we know that the claim that either web design is much more than conveying a message via the Internet or either butter beans require a warmer soil than snap beans or rock drawings are pictures carved or cut on plane smooth rocks is false, we know that scientists have a social responsibility. The claim that scientists have a social responsibility is false. We know that either if immigration is a relationship between countries, forged by people passing back and forth, then neon is chemical elements or if either butter beans require a warmer soil than snap beans or rock drawings are pictures carved or cut on plane smooth rocks, then if lobes are loops, then if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen. The statement, if immigration is a relationship between countries, forged by people passing back and forth, then neon is chemical elements, does not hold. So long as those that suggest if the statement that states lobes are loops is false, then some talons are part of waterfowls are wrong, 'medical education is a partnership of public and private enterprise' is true. The statement, medical education is a partnership of public and private enterprise, does not hold. If the claim that if the statement that states lobes are loops is false, then the statement 'some talons are part of waterfowls' can be considered false is false, then crypts are the site of intestinal fluid and electrolyte secretion. Those that suggest crypts are the site of intestinal fluid and electrolyte secretion are wrong.
|
One may reasonably assume that if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen.
|
The statement 'if most seaweed finds in coastal water, then young children are especially susceptible to elevated levels of estrogen' can be considered false.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (If [2], then (If [0], then [1].).).
If (Either [5] or [6].), then (If [2], then (If [0], then [1].).). [SC3-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (Either [5] or [6].).).), then [7].
Not [7].
Therefore, Either [4] or (Either [5] or [6].)..
[SC3-2]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Either [5] or [6].), then (If [2], then (If [0], then [1].).).).
Not (If [8], then [9].).
Therefore, If (Either [5] or [6].), then (If [2], then (If [0], then [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [3]. [SC1-2]
If (Not [2].), then (Not [3].). [SC2-2]
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (If (Not [2].), then [3].).), then [11].
Not [11].
Therefore, If (Not [2].), then [3]..
[SC2-2]
Modus Tonens:
If (Not (If (Not [2].), then (Not [3].).).), then [10].
Not [10].
Therefore, If (Not [2].), then (Not [3].)..
|
{0: 'Most seaweed finds in coastal water.', 1: 'Young children are especially susceptible to elevated levels of estrogen.', 2: 'Lobes are loops.', 3: 'Some talons are part of waterfowls.', 4: 'Web design is much more than conveying a message via the Internet.', 5: 'Butter beans require a warmer soil than snap beans.', 6: 'Rock drawings are pictures carved or cut on plane smooth rocks.', 7: 'Scientists have a social responsibility.', 8: 'Immigration is a relationship between countries, forged by people passing back and forth.', 9: 'Neon is chemical elements.', 10: 'Crypts are the site of intestinal fluid and electrolyte secretion.', 11: 'Medical education is a partnership of public and private enterprise.'}
| 7 |
6,463 |
['Assuming either most Web browsers change the mouse cursor when the mouse is over a clickable target or dioxins are a group of chemicals known to increase the likelihood of cancer, we know that either some fish scales are part of lungfishes or sign isa indication.', 'It is rational to believe that either carbon is the leading greenhouse gas contributing to climate change or either summer is when many people relax, go outside and explore or most frogs live in locations.', 'Once we know carbon is the leading greenhouse gas contributing to climate change, we also know that either most Web browsers change the mouse cursor when the mouse is over a clickable target or dioxins are a group of chemicals known to increase the likelihood of cancer.', 'Assuming either summer is when many people relax, go outside and explore or most frogs live in locations, we know that allergies trigger severe reaction.', 'Either one or both of these statements are true: most fire reduces invasive plants, or if allergies trigger severe reaction, then either some fish scales are part of lungfishes or sign isa indication.', 'Once we know most fire reduces invasive plants, we also know that herbs hate to be grown where they have to compete for light and air.', 'It is a fact that either art is the medium in which emotion is expressed or if neoprene is also a synthetic rubber, then response time Is the speed of response of the sensor when subjected to a step change in humidity.', 'Provided that either most mule deer establish home ranges and use the same winter and summer homes in consecutive years or cholesterol is great for a growing brain, we know that if art is the medium in which emotion is expressed, then the claim that herbs hate to be grown where they have to compete for light and air is false.', 'There is good reason to believe that either most mule deer establish home ranges and use the same winter and summer homes in consecutive years or cholesterol is great for a growing brain.', "One may reasonably assume that if the statement 'if if neoprene is also a synthetic rubber, then response time Is the speed of response of the sensor when subjected to a step change in humidity, then the claim that herbs hate to be grown where they have to compete for light and air is false' can be considered false, then either lymphatic circulation depends on movement and exercise to propel lymph flow or sound doctrine is an absolute necessity to the progress and extension of the church.", 'The statement that states either lymphatic circulation depends on movement and exercise to propel lymph flow or sound doctrine is an absolute necessity to the progress and extension of the church is false.']
|
Assuming either most Web browsers change the mouse cursor when the mouse is over a clickable target or dioxins are a group of chemicals known to increase the likelihood of cancer, we know that either some fish scales are part of lungfishes or sign isa indication. It is rational to believe that either carbon is the leading greenhouse gas contributing to climate change or either summer is when many people relax, go outside and explore or most frogs live in locations. Once we know carbon is the leading greenhouse gas contributing to climate change, we also know that either most Web browsers change the mouse cursor when the mouse is over a clickable target or dioxins are a group of chemicals known to increase the likelihood of cancer. Assuming either summer is when many people relax, go outside and explore or most frogs live in locations, we know that allergies trigger severe reaction. Either one or both of these statements are true: most fire reduces invasive plants, or if allergies trigger severe reaction, then either some fish scales are part of lungfishes or sign isa indication. Once we know most fire reduces invasive plants, we also know that herbs hate to be grown where they have to compete for light and air. It is a fact that either art is the medium in which emotion is expressed or if neoprene is also a synthetic rubber, then response time Is the speed of response of the sensor when subjected to a step change in humidity. Provided that either most mule deer establish home ranges and use the same winter and summer homes in consecutive years or cholesterol is great for a growing brain, we know that if art is the medium in which emotion is expressed, then the claim that herbs hate to be grown where they have to compete for light and air is false. There is good reason to believe that either most mule deer establish home ranges and use the same winter and summer homes in consecutive years or cholesterol is great for a growing brain. One may reasonably assume that if the statement 'if if neoprene is also a synthetic rubber, then response time Is the speed of response of the sensor when subjected to a step change in humidity, then the claim that herbs hate to be grown where they have to compete for light and air is false' can be considered false, then either lymphatic circulation depends on movement and exercise to propel lymph flow or sound doctrine is an absolute necessity to the progress and extension of the church. The statement that states either lymphatic circulation depends on movement and exercise to propel lymph flow or sound doctrine is an absolute necessity to the progress and extension of the church is false.
|
It is rational to believe that either some fish scales are part of lungfishes or sign isa indication.
|
It is rational to believe that either some fish scales are part of lungfishes or sign isa indication.
|
TRUE
|
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-1]
If (Either [2] or [3].), then (Either [0] or [1].).
If [4], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [6] or (Either [7] or [8].).
If [6], then (Either [2] or [3].).
If (Either [7] or [8].), then [4].
Therefore, Either (Either [2] or [3].) or [4]..
[SC3-1]
Disjunctive Syllogism:
Either [5] or (If [4], then (Either [0] or [1].).).
Not [5]. [SC2-2]
Therefore, If [4], then (Either [0] or [1].)..
[SC2-2]
Modus Tonens:
If [5], then [9].
Not [9]. [SC2-3]
Therefore, Not [5]..
[SC2-3]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (Not [9].). [SC2-4]
If (If [11], then [12].), then (Not [9].). [SC3-4]
Therefore, Not [9]..
[SC2-4]
Modus Ponens:
If (Either [13] or [14].), then (If [10], then (Not [9].).).
Either [13] or [14].
Therefore, If [10], then (Not [9].)..
[SC3-4]
Modus Tonens:
If (Not (If (If [11], then [12].), then (Not [9].).).), then (Either [15] or [16].).
Not (Either [15] or [16].).
Therefore, If (If [11], then [12].), then (Not [9].)..
|
{0: 'Some fish scales are part of lungfishes.', 1: 'Sign isa indication.', 2: 'Most Web browsers change the mouse cursor when the mouse is over a clickable target.', 3: 'Dioxins are a group of chemicals known to increase the likelihood of cancer.', 4: 'Allergies trigger severe reaction.', 5: 'Most fire reduces invasive plants.', 6: 'Carbon is the leading greenhouse gas contributing to climate change.', 7: 'Summer is when many people relax, go outside and explore.', 8: 'Most frogs live in locations.', 9: 'Herbs hate to be grown where they have to compete for light and air.', 10: 'Art is the medium in which emotion is expressed.', 11: 'Neoprene is also a synthetic rubber.', 12: 'Response time Is the speed of response of the sensor when subjected to a step change in humidity.', 13: 'Most mule deer establish home ranges and use the same winter and summer homes in consecutive years.', 14: 'Cholesterol is great for a growing brain.', 15: 'Lymphatic circulation depends on movement and exercise to propel lymph flow.', 16: 'Sound doctrine is an absolute necessity to the progress and extension of the church.'}
| 7 |
6,776 |
['The claim that pigeons have very good eyes has no merit.', "When the statement 'if we know that the claim that dogs are capable of mates is false, then mangroves have (part) leaf nodes' can be considered false is true, it follows that oral herpes is what causes cold sores and fever blisters.", 'When oral herpes is what causes cold sores and fever blisters is true, it follows that either humans differ radically from their environment or most organic mulch is made of mature compost.', 'One may reasonably assume that if either humans differ radically from their environment or most organic mulch is made of mature compost, then if stubs are records, then toucans have eyesights.', 'On the condition that either humans differ radically from their environment or most organic mulch is made of mature compost, it is definitely the case that the claim that if stubs are records, then toucans have eyesights does not correspond with reality.', 'Provided that we know that the claim that either pigeons have very good eyes or if we know that the claim that dogs are capable of mates is false, then the statement that states mangroves have (part) leaf nodes is false is false, we know that either most birds have skin or stingrays have chances.', 'We know that either aerobic respiration is the most efficient of all because the electron falls so far or if we know that the claim that either pigeons have very good eyes or if we know that the claim that dogs are capable of mates is false, then the statement that states mangroves have (part) leaf nodes is false is false, then the claim that either most birds have skin or stingrays have chances does not reflect reality.', "The statement 'aerobic respiration is the most efficient of all because the electron falls so far' can be considered false."]
|
The claim that pigeons have very good eyes has no merit. When the statement 'if we know that the claim that dogs are capable of mates is false, then mangroves have (part) leaf nodes' can be considered false is true, it follows that oral herpes is what causes cold sores and fever blisters. When oral herpes is what causes cold sores and fever blisters is true, it follows that either humans differ radically from their environment or most organic mulch is made of mature compost. One may reasonably assume that if either humans differ radically from their environment or most organic mulch is made of mature compost, then if stubs are records, then toucans have eyesights. On the condition that either humans differ radically from their environment or most organic mulch is made of mature compost, it is definitely the case that the claim that if stubs are records, then toucans have eyesights does not correspond with reality. Provided that we know that the claim that either pigeons have very good eyes or if we know that the claim that dogs are capable of mates is false, then the statement that states mangroves have (part) leaf nodes is false is false, we know that either most birds have skin or stingrays have chances. We know that either aerobic respiration is the most efficient of all because the electron falls so far or if we know that the claim that either pigeons have very good eyes or if we know that the claim that dogs are capable of mates is false, then the statement that states mangroves have (part) leaf nodes is false is false, then the claim that either most birds have skin or stingrays have chances does not reflect reality. The statement 'aerobic respiration is the most efficient of all because the electron falls so far' can be considered false.
|
It is true that dogs are capable of mates.
|
All dogs have to be kept in a nearly natural and friendly environment.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [7].
If [7], then (Either [3] or [4].).
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [3] or [4].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then (If [5], then [6].).
If (Either [3] or [4].), then (Not (If [5], then [6].).).
Therefore, Not (Either [3] or [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Either [8] or [9].).
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not (Either [8] or [9].).). [SC2-3]
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not (Either [8] or [9].).).).
Not [10].
Therefore, If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not (Either [8] or [9].).)..
|
{0: 'Dogs are capable of mates.', 1: 'Mangroves have (part) leaf nodes.', 2: 'Pigeons have very good eyes.', 3: 'Humans differ radically from their environment.', 4: 'Most organic mulch is made of mature compost.', 5: 'Stubs are records.', 6: 'Toucans have eyesights.', 7: 'Oral herpes is what causes cold sores and fever blisters.', 8: 'Most birds have skin.', 9: 'Stingrays have chances.', 10: 'Aerobic respiration is the most efficient of all because the electron falls so far.'}
| 7 |
6,682 |
['Many people rightly believe that some baobabs have trunks.', 'Once we know allopatric speciation is suggested to be the major mode of speciation in the clade, we also know that if some baobabs have trunks, then cats go through the same developmental stages that people do.', 'One may reasonably assume that if if some people are unable to wear contacts and, with glasses, experience a limited field of vision, then dreams can occur when two living human beings send strong mental telepathic messages to each other, then if the statement, allopatric speciation is suggested to be the major mode of speciation in the clade, does not hold, then fibrocartilage provides good resistance to shear and compression forces.', 'Once we know some people are unable to wear contacts and, with glasses, experience a limited field of vision, we also know that dreams can occur when two living human beings send strong mental telepathic messages to each other.', 'There is good reason to believe that either zoysia seed has a low germination percentage, making it difficult to seed or pantothenic acid helps metabolize energy and form tissues.', "Should it be the case that zoysia seed has a low germination percentage, making it difficult to seed, it follows that the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect.", 'The statement that states paleontology is the study of prehistoric life based on fossil evidence is false.', "Whenever it is true that the statement that states if some people mistakenly believe that if pantothenic acid helps metabolize energy and form tissues, then the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect, then paleontology is the study of prehistoric life based on fossil evidence is false, 'surface tension is important for mixing substances' is true.", "Provided that the statement that states if some people mistakenly believe that if pantothenic acid helps metabolize energy and form tissues, then the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect, then paleontology is the study of prehistoric life based on fossil evidence is false, we know that some people mistakenly believe that surface tension is important for mixing substances."]
|
Many people rightly believe that some baobabs have trunks. Once we know allopatric speciation is suggested to be the major mode of speciation in the clade, we also know that if some baobabs have trunks, then cats go through the same developmental stages that people do. One may reasonably assume that if if some people are unable to wear contacts and, with glasses, experience a limited field of vision, then dreams can occur when two living human beings send strong mental telepathic messages to each other, then if the statement, allopatric speciation is suggested to be the major mode of speciation in the clade, does not hold, then fibrocartilage provides good resistance to shear and compression forces. Once we know some people are unable to wear contacts and, with glasses, experience a limited field of vision, we also know that dreams can occur when two living human beings send strong mental telepathic messages to each other. There is good reason to believe that either zoysia seed has a low germination percentage, making it difficult to seed or pantothenic acid helps metabolize energy and form tissues. Should it be the case that zoysia seed has a low germination percentage, making it difficult to seed, it follows that the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect. The statement that states paleontology is the study of prehistoric life based on fossil evidence is false. Whenever it is true that the statement that states if some people mistakenly believe that if pantothenic acid helps metabolize energy and form tissues, then the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect, then paleontology is the study of prehistoric life based on fossil evidence is false, 'surface tension is important for mixing substances' is true. Provided that the statement that states if some people mistakenly believe that if pantothenic acid helps metabolize energy and form tissues, then the statement that 'fibrocartilage provides good resistance to shear and compression forces' is incorrect, then paleontology is the study of prehistoric life based on fossil evidence is false, we know that some people mistakenly believe that surface tension is important for mixing substances.
|
The statement 'cats go through the same developmental stages that people do' can be considered true.
|
Cats have slit pupils and humans have round pupils.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].).
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Modus Ponens:
If (If [6], then [7].), then (If (Not [2].), then [3].).
If [6], then [7].
Therefore, If (Not [2].), then [3]..
[SC2-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [3].).
If [5], then (Not [3].). [SC3-4]
Therefore, Not [3]..
[SC3-4]
Modus Tonens:
If (Not (If [5], then (Not [3].).).), then [8]. [SC1-5]
Not [8].
Therefore, If [5], then (Not [3].)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Not (If [5], then (Not [3].).).), then [8].).), then [9].
If (Not (If (Not (If [5], then (Not [3].).).), then [8].).), then (Not [9].).
Therefore, If (Not (If [5], then (Not [3].).).), then [8]..
|
{0: 'Cats go through the same developmental stages that people do.', 1: 'Some baobabs have trunks.', 2: 'Allopatric speciation is suggested to be the major mode of speciation in the clade.', 3: 'Fibrocartilage provides good resistance to shear and compression forces.', 4: 'Zoysia seed has a low germination percentage, making it difficult to seed.', 5: 'Pantothenic acid helps metabolize energy and form tissues.', 6: 'Some people are unable to wear contacts and, with glasses, experience a limited field of vision.', 7: 'Dreams can occur when two living human beings send strong mental telepathic messages to each other.', 8: 'Paleontology is the study of prehistoric life based on fossil evidence.', 9: 'Surface tension is important for mixing substances.'}
| 7 |
6,879 |
['At least one of two things is true: young singers lose grandfathers, or either sulfates cause diarrhea in humans or drought occurs in regions.', 'Once we know either sulfates cause diarrhea in humans or drought occurs in regions, we also know that if writing is also technology, then mothers usually share their nests with nursing infants.', 'At least one of two things is true: if fishbones have (part) ground substances, then rationality implies intellectual cognition and rational appetition, or writing is also technology.', 'We know that the claim that if fishbones have (part) ground substances, then rationality implies intellectual cognition and rational appetition is false.', 'Provided that young singers lose grandfathers, we know that species are reproductive communities of populations that occurpy a specific niche in nature.', 'Either one or both of these statements are true: axe blade is white metal, or if most antidiuretic hormones regulate kidneys, then if writing is also technology, then mothers usually share their nests with nursing infants.', "The statement that 'axe blade is white metal' is incorrect.", 'Given that some people mistakenly believe that if species are reproductive communities of populations that occurpy a specific niche in nature, then most antidiuretic hormones regulate kidneys, it can be inferred that longnose gars are primarily surface oriented feeders.', 'Assuming some people mistakenly believe that if species are reproductive communities of populations that occurpy a specific niche in nature, then most antidiuretic hormones regulate kidneys, we know that the statement that states longnose gars are primarily surface oriented feeders is false.']
|
At least one of two things is true: young singers lose grandfathers, or either sulfates cause diarrhea in humans or drought occurs in regions. Once we know either sulfates cause diarrhea in humans or drought occurs in regions, we also know that if writing is also technology, then mothers usually share their nests with nursing infants. At least one of two things is true: if fishbones have (part) ground substances, then rationality implies intellectual cognition and rational appetition, or writing is also technology. We know that the claim that if fishbones have (part) ground substances, then rationality implies intellectual cognition and rational appetition is false. Provided that young singers lose grandfathers, we know that species are reproductive communities of populations that occurpy a specific niche in nature. Either one or both of these statements are true: axe blade is white metal, or if most antidiuretic hormones regulate kidneys, then if writing is also technology, then mothers usually share their nests with nursing infants. The statement that 'axe blade is white metal' is incorrect. Given that some people mistakenly believe that if species are reproductive communities of populations that occurpy a specific niche in nature, then most antidiuretic hormones regulate kidneys, it can be inferred that longnose gars are primarily surface oriented feeders. Assuming some people mistakenly believe that if species are reproductive communities of populations that occurpy a specific niche in nature, then most antidiuretic hormones regulate kidneys, we know that the statement that states longnose gars are primarily surface oriented feeders is false.
|
The statement 'mothers usually share their nests with nursing infants' can be considered true.
|
The statement 'mothers usually share their nests with nursing infants' can be considered true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If [1], then [0].). [SC2-2]
If (Either [5] or [6].), then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [7]. [SC1-3]
If [7], then (If [1], then [0].). [SC2-3]
Therefore, If [4], then (If [1], then [0].)..
[SC1-3]
Hypothetical Syllogism:
If [4], then [8].
If [8], then [7]. [SC2-4]
Therefore, If [4], then [7]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [8], then [7].).), then [10].
If (Not (If [8], then [7].).), then (Not [10].).
Therefore, If [8], then [7]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If [7], then (If [1], then [0].).).
Not [9].
Therefore, If [7], then (If [1], then [0].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or [1].
Not (If [2], then [3].).
Therefore, [1].
|
{0: 'Mothers usually share their nests with nursing infants.', 1: 'Writing is also technology.', 2: 'Fishbones have (part) ground substances.', 3: 'Rationality implies intellectual cognition and rational appetition.', 4: 'Young singers lose grandfathers.', 5: 'Sulfates cause diarrhea in humans.', 6: 'Drought occurs in regions.', 7: 'Most antidiuretic hormones regulate kidneys.', 8: 'Species are reproductive communities of populations that occurpy a specific niche in nature.', 9: 'Axe blade is white metal.', 10: 'Longnose gars are primarily surface oriented feeders.'}
| 7 |
6,517 |
['It is true that rainstorms can make the desert bloom.', "Assuming the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, we know that we know that the claim that american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins is false.", 'Either one or both of these statements are true: monitor plants regularly for signs of pests and diseases, or it is not true that if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions.', 'It is a common misconception that monitor plants regularly for signs of pests and diseases.', "When either fraud is crime or mushrooms are everywhere is true, it follows that if the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, then american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins.", "Whenever it is true that if some macaques inhabit island coasts, then shopping malls are retail spaces shared by a large or small group of stores, 'if the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, then american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins' is true.", "Provided that the notion that 'either either fraud is crime or mushrooms are everywhere or if some macaques inhabit island coasts, then shopping malls are retail spaces shared by a large or small group of stores' is untrue, we know that shanghai is the chief producer of industrial goods, and a major export base in China as well.", 'If pollutants cause illnesses, then the claim that shanghai is the chief producer of industrial goods, and a major export base in China as well does not reflect reality.', 'It is true that pollutants cause illnesses.']
|
It is true that rainstorms can make the desert bloom. Assuming the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, we know that we know that the claim that american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins is false. Either one or both of these statements are true: monitor plants regularly for signs of pests and diseases, or it is not true that if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions. It is a common misconception that monitor plants regularly for signs of pests and diseases. When either fraud is crime or mushrooms are everywhere is true, it follows that if the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, then american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins. Whenever it is true that if some macaques inhabit island coasts, then shopping malls are retail spaces shared by a large or small group of stores, 'if the statement 'if some people mistakenly believe that if rainstorms can make the desert bloom, then reef sharks circle the chum area, then if water molds grow as a mass of fuzzy white threads on dead material, then workflows are complex units of work consisting of multiple, possibly interdependent, transactions' can be considered false, then american hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins' is true. Provided that the notion that 'either either fraud is crime or mushrooms are everywhere or if some macaques inhabit island coasts, then shopping malls are retail spaces shared by a large or small group of stores' is untrue, we know that shanghai is the chief producer of industrial goods, and a major export base in China as well. If pollutants cause illnesses, then the claim that shanghai is the chief producer of industrial goods, and a major export base in China as well does not reflect reality. It is true that pollutants cause illnesses.
|
reef sharks circle the chum area.
|
Toxicity is similar to cyclosporine, with nephrotoxicity being a major adverse effect.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then [5]. [SC1-3]
If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then (Not [5].).
Therefore, If (Not (If [1], then [0].).), then (If [2], then [3].)..
[SC1-3]
Disjunction Elimination:
Either (Either [6] or [7].) or (If [8], then [9].). [SC1-4]
If (Either [6] or [7].), then (If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then [5].).
If (If [8], then [9].), then (If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then [5].).
Therefore, If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then [5]..
[SC1-4]
Modus Tonens:
If (Not (Either (Either [6] or [7].) or (If [8], then [9].).).), then [10].
Not [10]. [SC2-5]
Therefore, Either (Either [6] or [7].) or (If [8], then [9].)..
[SC2-5]
Modus Ponens:
If [11], then (Not [10].).
[11]
Therefore, Not [10]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not (If [2], then [3].).).
Not [4].
Therefore, Not (If [2], then [3].)..
|
{0: 'Reef sharks circle the chum area.', 1: 'Rainstorms can make the desert bloom.', 2: 'Water molds grow as a mass of fuzzy white threads on dead material.', 3: 'Workflows are complex units of work consisting of multiple, possibly interdependent, transactions.', 4: 'Monitor plants regularly for signs of pests and diseases.', 5: 'American hazel occurs along streams, hedgerows, meadows, woodlands, roadsides, and forest margins.', 6: 'Fraud is crime.', 7: 'Mushrooms are everywhere.', 8: 'Some macaques inhabit island coasts.', 9: 'Shopping malls are retail spaces shared by a large or small group of stores.', 10: 'Shanghai is the chief producer of industrial goods, and a major export base in China as well.', 11: 'Pollutants cause illnesses.'}
| 7 |
6,573 |
['We know that either compounds undergo degradations or some animals share many similar characteristics.', 'At least one of two things is true: demographics is a quantitative approach to audience analysis, or some deserts are near oceans.', 'Should it be the case that a child prodigy is a prodigy, it follows that if compounds undergo degradations, then shear speed is VERY roughly equal to the compressional speed divided by the square root of three.', 'It is fair to say that a child prodigy is a prodigy.', 'Once we know most diamondback terrapins have temperature, we also know that if some animals share many similar characteristics, then sand provides greater cushion and surface drainage than other bedding materials.', 'Many people rightly believe that most diamondback terrapins have temperature.', 'Assuming demographics is a quantitative approach to audience analysis, we know that if alcoholism is incurable, then frost occurs in winter.', "Provided that if alcoholism is incurable, then frost occurs in winter, we know that the statement that 'shear speed is VERY roughly equal to the compressional speed divided by the square root of three' is incorrect.", "At least one of two things is true: dense colonies develop in fine sand in quiet places on the reef, often under ledges, or if some deserts are near oceans, then the statement that 'shear speed is VERY roughly equal to the compressional speed divided by the square root of three' is incorrect.", 'The statement that states dense colonies develop in fine sand in quiet places on the reef, often under ledges is false.']
|
We know that either compounds undergo degradations or some animals share many similar characteristics. At least one of two things is true: demographics is a quantitative approach to audience analysis, or some deserts are near oceans. Should it be the case that a child prodigy is a prodigy, it follows that if compounds undergo degradations, then shear speed is VERY roughly equal to the compressional speed divided by the square root of three. It is fair to say that a child prodigy is a prodigy. Once we know most diamondback terrapins have temperature, we also know that if some animals share many similar characteristics, then sand provides greater cushion and surface drainage than other bedding materials. Many people rightly believe that most diamondback terrapins have temperature. Assuming demographics is a quantitative approach to audience analysis, we know that if alcoholism is incurable, then frost occurs in winter. Provided that if alcoholism is incurable, then frost occurs in winter, we know that the statement that 'shear speed is VERY roughly equal to the compressional speed divided by the square root of three' is incorrect. At least one of two things is true: dense colonies develop in fine sand in quiet places on the reef, often under ledges, or if some deserts are near oceans, then the statement that 'shear speed is VERY roughly equal to the compressional speed divided by the square root of three' is incorrect. The statement that states dense colonies develop in fine sand in quiet places on the reef, often under ledges is false.
|
Those that suggest sand provides greater cushion and surface drainage than other bedding materials are right.
|
Those that suggest sand provides greater cushion and surface drainage than other bedding materials are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [1]. [SC2-2]
If [5], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Ponens:
If [7], then (If [4], then [1].).
[7]
Therefore, If [4], then [1]..
[SC3-2]
Modus Ponens:
If [10], then (If [5], then [0].).
[10]
Therefore, If [5], then [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If [2], then (If [8], then [9].).
If (If [8], then [9].), then (Not [1].).
Therefore, If [2], then (Not [1].)..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If [3], then (Not [1].).).
Not [6].
Therefore, If [3], then (Not [1].)..
|
{0: 'Sand provides greater cushion and surface drainage than other bedding materials.', 1: 'Shear speed is VERY roughly equal to the compressional speed divided by the square root of three.', 2: 'Demographics is a quantitative approach to audience analysis.', 3: 'Some deserts are near oceans.', 4: 'Compounds undergo degradations.', 5: 'Some animals share many similar characteristics.', 6: 'Dense colonies develop in fine sand in quiet places on the reef, often under ledges.', 7: 'A child prodigy is a prodigy.', 8: 'Alcoholism is incurable.', 9: 'Frost occurs in winter.', 10: 'Most diamondback terrapins have temperature.'}
| 7 |
6,793 |
['It is rational to believe that either most entomologists collect insect specimens or some field experiments examine nitrogen fertilization.', 'Should it be the case that some field experiments examine nitrogen fertilization, it follows that either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant.', "Once we know redwings usually fly between food sources in long, strung-out flocks, we also know that the statement 'anal sex requires a high level of passion, for both women and men' can be considered false.", 'It is a simple truth that redwings usually fly between food sources in long, strung-out flocks.', 'At least one of two things is true: some people study bees, or most mammals have glands.', 'When some people study bees is true, it follows that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system.', 'When most mammals have glands is true, it follows that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system.', "Assuming some people mistakenly believe that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then the statement 'either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system' can be considered false, we know that some people mistakenly believe that some parasites cause meningitis.", "There is good reason to believe that either bulls have legs or if some people mistakenly believe that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then the statement 'either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system' can be considered false, then some parasites cause meningitis.", "The statement 'bulls have legs' can be considered false."]
|
It is rational to believe that either most entomologists collect insect specimens or some field experiments examine nitrogen fertilization. Should it be the case that some field experiments examine nitrogen fertilization, it follows that either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant. Once we know redwings usually fly between food sources in long, strung-out flocks, we also know that the statement 'anal sex requires a high level of passion, for both women and men' can be considered false. It is a simple truth that redwings usually fly between food sources in long, strung-out flocks. At least one of two things is true: some people study bees, or most mammals have glands. When some people study bees is true, it follows that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system. When most mammals have glands is true, it follows that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system. Assuming some people mistakenly believe that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then the statement 'either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system' can be considered false, we know that some people mistakenly believe that some parasites cause meningitis. There is good reason to believe that either bulls have legs or if some people mistakenly believe that if it is not true that if most entomologists collect insect specimens, then either anal sex requires a high level of passion, for both women and men or it is not the case that camphor wood is used because it is extremely water-resistant, then the statement 'either hand washing needs to be emphasized as a tool in the prevention of the spread of illness or crime is partly a product of the structured inequality of capitalist economic system' can be considered false, then some parasites cause meningitis. The statement 'bulls have legs' can be considered false.
|
It is not the case that camphor wood is used because it is extremely water-resistant.
|
It is not the case that camphor wood is used because it is extremely water-resistant.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [1] or (Not [0].).). [SC2-2]
If [4], then (Either [1] or (Not [0].).).
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Either [5] or [6].). [SC1-3]
If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, If [3], then (Either [1] or (Not [0].).)..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Either [5] or [6].).).
If [9], then (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Either [5] or [6].).).
Therefore, If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Either [5] or [6].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).).).), then [7]. [SC1-4]
If (Not (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).).).), then (Not [7].).
Therefore, If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).)..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).).).), then [7].).
Not [10].
Therefore, If (Not (If (Not (If [3], then (Either [1] or (Not [0].).).).), then (Not (Either [5] or [6].).).).), then [7]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Camphor wood is used because it is extremely water-resistant.', 1: 'Anal sex requires a high level of passion, for both women and men.', 2: 'Redwings usually fly between food sources in long, strung-out flocks.', 3: 'Most entomologists collect insect specimens.', 4: 'Some field experiments examine nitrogen fertilization.', 5: 'Hand washing needs to be emphasized as a tool in the prevention of the spread of illness.', 6: 'Crime is partly a product of the structured inequality of capitalist economic system.', 7: 'Some parasites cause meningitis.', 8: 'Some people study bees.', 9: 'Most mammals have glands.', 10: 'Bulls have legs.'}
| 7 |
6,893 |
['One may reasonably assume that if those that suggest sectors are the wedge-shaped divisions of the disk are wrong, then it is a common misconception that institutional racism runs across every border, as well as differences in religion.', "The statement 'essential oils are very fragile organic molecules' can be considered false.", 'One may reasonably assume that if individuality is the term used to denote the real man, then either spiders live in all sorts of environments or if the claim that if those that suggest sectors are the wedge-shaped divisions of the disk are wrong, then institutional racism runs across every border, as well as differences in religion has no merit, then essential oils are very fragile organic molecules.', 'The statement that states nymphs look like small adult lice, but are only about the size of a pinhead is false.', 'When the claim that individuality is the term used to denote the real man is false is true, it follows that either parking lots are located in amusement parks or elk bulls have coats.', "Once we know the claim that individuality is the term used to denote the real man is false, we also know that the notion that 'either parking lots are located in amusement parks or elk bulls have coats' is untrue.", 'On the condition that some people mistakenly believe that if spiders live in all sorts of environments, then nymphs look like small adult lice, but are only about the size of a pinhead, it is definitely the case that if classifications describe types, then rabbits give birth to rabbits.', 'Those that suggest if classifications describe types, then rabbits give birth to rabbits are wrong.']
|
One may reasonably assume that if those that suggest sectors are the wedge-shaped divisions of the disk are wrong, then it is a common misconception that institutional racism runs across every border, as well as differences in religion. The statement 'essential oils are very fragile organic molecules' can be considered false. One may reasonably assume that if individuality is the term used to denote the real man, then either spiders live in all sorts of environments or if the claim that if those that suggest sectors are the wedge-shaped divisions of the disk are wrong, then institutional racism runs across every border, as well as differences in religion has no merit, then essential oils are very fragile organic molecules. The statement that states nymphs look like small adult lice, but are only about the size of a pinhead is false. When the claim that individuality is the term used to denote the real man is false is true, it follows that either parking lots are located in amusement parks or elk bulls have coats. Once we know the claim that individuality is the term used to denote the real man is false, we also know that the notion that 'either parking lots are located in amusement parks or elk bulls have coats' is untrue. On the condition that some people mistakenly believe that if spiders live in all sorts of environments, then nymphs look like small adult lice, but are only about the size of a pinhead, it is definitely the case that if classifications describe types, then rabbits give birth to rabbits. Those that suggest if classifications describe types, then rabbits give birth to rabbits are wrong.
|
Those that suggest sectors are the wedge-shaped divisions of the disk are right.
|
The claim that sectors are the wedge-shaped divisions of the disk is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If (Not (If (Not [0].), then [1].).), then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Modus Ponens:
If [4], then (Either [3] or (If (Not (If (Not [0].), then [1].).), then [2].).).
[4] [SC2-4]
Therefore, Either [3] or (If (Not (If (Not [0].), then [1].).), then [2].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [4].), then (Either [6] or [7].).
If (Not [4].), then (Not (Either [6] or [7].).).
Therefore, [4].
[SC2-3]
Modus Tonens:
If [3], then [5]. [SC1-4]
Not [5].
Therefore, Not [3]..
[SC1-4]
Modus Tonens:
If (Not (If [3], then [5].).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If [3], then [5]..
|
{0: 'Sectors are the wedge-shaped divisions of the disk.', 1: 'Institutional racism runs across every border, as well as differences in religion.', 2: 'Essential oils are very fragile organic molecules.', 3: 'Spiders live in all sorts of environments.', 4: 'Individuality is the term used to denote the real man.', 5: 'Nymphs look like small adult lice, but are only about the size of a pinhead.', 6: 'Parking lots are located in amusement parks.', 7: 'Elk bulls have coats.', 8: 'Classifications describe types.', 9: 'Rabbits give birth to rabbits.'}
| 7 |
6,534 |
['We know that either frogs are very adaptable creatures, they can live in almost any environment or august isa month.', "So long as frogs are very adaptable creatures, they can live in almost any environment, 'if the notion that 'vaginas are located in skirts' is untrue, then young moles are blind and hairless at birth' is true.", "Given that august isa month, it can be inferred that if the notion that 'vaginas are located in skirts' is untrue, then young moles are blind and hairless at birth.", 'It is a common misconception that humans acquire language as babies.', 'It is a fact that either some serious infection is caused by eat food or either humans acquire language as babies or those that suggest young moles are blind and hairless at birth are wrong.', 'It is a simple truth that some ants squirt a stinky fluid at their enemies.', 'Provided that teams have games, we know that if some ants squirt a stinky fluid at their enemies, then some people mistakenly believe that some serious infection is caused by eat food.', "Whenever it is true that taxis have (part) bumpers, 'if some ants squirt a stinky fluid at their enemies, then some people mistakenly believe that some serious infection is caused by eat food' is true.", "On the condition that the statement 'either teams have games or taxis have (part) bumpers' can be considered false, it is definitely the case that chemists call the calcium-fatty acid product a grease or metallic soap or salt.", 'It is not the case that chemists call the calcium-fatty acid product a grease or metallic soap or salt.']
|
We know that either frogs are very adaptable creatures, they can live in almost any environment or august isa month. So long as frogs are very adaptable creatures, they can live in almost any environment, 'if the notion that 'vaginas are located in skirts' is untrue, then young moles are blind and hairless at birth' is true. Given that august isa month, it can be inferred that if the notion that 'vaginas are located in skirts' is untrue, then young moles are blind and hairless at birth. It is a common misconception that humans acquire language as babies. It is a fact that either some serious infection is caused by eat food or either humans acquire language as babies or those that suggest young moles are blind and hairless at birth are wrong. It is a simple truth that some ants squirt a stinky fluid at their enemies. Provided that teams have games, we know that if some ants squirt a stinky fluid at their enemies, then some people mistakenly believe that some serious infection is caused by eat food. Whenever it is true that taxis have (part) bumpers, 'if some ants squirt a stinky fluid at their enemies, then some people mistakenly believe that some serious infection is caused by eat food' is true. On the condition that the statement 'either teams have games or taxis have (part) bumpers' can be considered false, it is definitely the case that chemists call the calcium-fatty acid product a grease or metallic soap or salt. It is not the case that chemists call the calcium-fatty acid product a grease or metallic soap or salt.
|
The statement 'vaginas are located in skirts' is true.
|
The statement 'vaginas are located in skirts' is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then [1].).
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or (Not [1].).).
Not [5]. [SC2-3]
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].). [SC1-4]
[6]
Therefore, Not [5]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8]. [SC1-5]
If [7], then (If [6], then (Not [5].).).
If [8], then (If [6], then (Not [5].).).
Therefore, If [6], then (Not [5].)..
[SC1-5]
Modus Tonens:
If (Not (Either [7] or [8].).), then [9].
Not [9].
Therefore, Either [7] or [8]..
|
{0: 'Vaginas are located in skirts.', 1: 'Young moles are blind and hairless at birth.', 2: 'Humans acquire language as babies.', 3: 'Frogs are very adaptable creatures, they can live in almost any environment.', 4: 'August isa month.', 5: 'Some serious infection is caused by eat food.', 6: 'Some ants squirt a stinky fluid at their enemies.', 7: 'Teams have games.', 8: 'Taxis have (part) bumpers.', 9: 'Chemists call the calcium-fatty acid product a grease or metallic soap or salt.'}
| 7 |
6,903 |
['One may reasonably assume that if the claim that humans are clusters of bacteria does not correspond with reality, then it is not true that irises have (part) corpi.', 'Assuming either lentils are an underappreciated legume or suits have (part) skirts, we know that either children have type a blood or if the claim that humans are clusters of bacteria does not correspond with reality, then irises have (part) corpi.', 'One may reasonably assume that if if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools, then either children have type a blood or if the claim that humans are clusters of bacteria does not correspond with reality, then irises have (part) corpi.', 'We know that at least one of two things is true: barnacles can stay wet inside their volcano-shaped shells for days at a time, or it is not true that children have type a blood.', 'The claim that barnacles can stay wet inside their volcano-shaped shells for days at a time has no merit.', "One may reasonably assume that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then we know that the claim that bacterial meningitis causes the membrane around the brain and the spinal cord to swell is false.", "Once we know some lizards have frills, we also know that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then bacterial meningitis causes the membrane around the brain and the spinal cord to swell.", "On the condition that emotions seem to be the phenomenological instantiation of the instinct of goal - direction, it is definitely the case that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then bacterial meningitis causes the membrane around the brain and the spinal cord to swell.", "Whenever it is true that those that suggest either some lizards have frills or emotions seem to be the phenomenological instantiation of the instinct of goal - direction are wrong, 'predictability is essential to forestry businesses and everyone dependent on the forest economy' is true.", 'It is a common misconception that predictability is essential to forestry businesses and everyone dependent on the forest economy.']
|
One may reasonably assume that if the claim that humans are clusters of bacteria does not correspond with reality, then it is not true that irises have (part) corpi. Assuming either lentils are an underappreciated legume or suits have (part) skirts, we know that either children have type a blood or if the claim that humans are clusters of bacteria does not correspond with reality, then irises have (part) corpi. One may reasonably assume that if if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools, then either children have type a blood or if the claim that humans are clusters of bacteria does not correspond with reality, then irises have (part) corpi. We know that at least one of two things is true: barnacles can stay wet inside their volcano-shaped shells for days at a time, or it is not true that children have type a blood. The claim that barnacles can stay wet inside their volcano-shaped shells for days at a time has no merit. One may reasonably assume that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then we know that the claim that bacterial meningitis causes the membrane around the brain and the spinal cord to swell is false. Once we know some lizards have frills, we also know that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then bacterial meningitis causes the membrane around the brain and the spinal cord to swell. On the condition that emotions seem to be the phenomenological instantiation of the instinct of goal - direction, it is definitely the case that if the statement 'either either lentils are an underappreciated legume or suits have (part) skirts or if comenditic lava domes fill and surround the caldera, then self help involves a variety of products and tools' can be considered false, then bacterial meningitis causes the membrane around the brain and the spinal cord to swell. Whenever it is true that those that suggest either some lizards have frills or emotions seem to be the phenomenological instantiation of the instinct of goal - direction are wrong, 'predictability is essential to forestry businesses and everyone dependent on the forest economy' is true. It is a common misconception that predictability is essential to forestry businesses and everyone dependent on the forest economy.
|
It is fair to say that humans are clusters of bacteria.
|
Humans have low entropy.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [3] or [4].) or (If [5], then [6].). [SC1-3]
If (Either [3] or [4].), then (Either [2] or (If (Not [0].), then [1].).).
If (If [5], then [6].), then (Either [2] or (If (Not [0].), then [1].).).
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [3] or [4].) or (If [5], then [6].).).), then [8]. [SC1-4]
If (Not (Either (Either [3] or [4].) or (If [5], then [6].).).), then (Not [8].).
Therefore, Either (Either [3] or [4].) or (If [5], then [6].)..
[SC1-4]
Disjunction Elimination:
Either [9] or [10]. [SC1-5]
If [9], then (If (Not (Either (Either [3] or [4].) or (If [5], then [6].).).), then [8].).
If [10], then (If (Not (Either (Either [3] or [4].) or (If [5], then [6].).).), then [8].).
Therefore, If (Not (Either (Either [3] or [4].) or (If [5], then [6].).).), then [8]..
[SC1-5]
Modus Tonens:
If (Not (Either [9] or [10].).), then [11].
Not [11].
Therefore, Either [9] or [10]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not [2].).
Not [7].
Therefore, Not [2]..
|
{0: 'Humans are clusters of bacteria.', 1: 'Irises have (part) corpi.', 2: 'Children have type a blood.', 3: 'Lentils are an underappreciated legume.', 4: 'Suits have (part) skirts.', 5: 'Comenditic lava domes fill and surround the caldera.', 6: 'Self help involves a variety of products and tools.', 7: 'Barnacles can stay wet inside their volcano-shaped shells for days at a time.', 8: 'Bacterial meningitis causes the membrane around the brain and the spinal cord to swell.', 9: 'Some lizards have frills.', 10: 'Emotions seem to be the phenomenological instantiation of the instinct of goal - direction.', 11: 'Predictability is essential to forestry businesses and everyone dependent on the forest economy.'}
| 7 |
6,276 |
["So long as we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, 'some people mistakenly believe that candy corn is candy' is true.", 'When red wolves eat smaller prey such as rodents, insects and rabbits is true, it follows that either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings.', "When the statement 'if we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, then candy corn is candy' can be considered false is true, it follows that astronauts feel body weight.", "Should it be the case that the statement 'if we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, then candy corn is candy' can be considered false, it follows that it is not true that astronauts feel body weight.", 'Either some women develop a pattern of frequent recurrences, occasionally as often as every month or factories also emit pollution into the skies and affect the air organisms breathe.', 'If some women develop a pattern of frequent recurrences, occasionally as often as every month, then either red wolves eat smaller prey such as rodents, insects and rabbits or chlorine is chemical elements.', 'If factories also emit pollution into the skies and affect the air organisms breathe, then either red wolves eat smaller prey such as rodents, insects and rabbits or chlorine is chemical elements.', 'At least one of two things is true: some dogs have fluffy undercoat that clumps and mats as it falls out, or red squirrels are timorous and easily stressed.', 'Provided that some dogs have fluffy undercoat that clumps and mats as it falls out, we know that if chlorine is chemical elements, then either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings.', "So long as institutions providing religious education include madrasehs and maktabs, 'if red squirrels are timorous and easily stressed, then if chlorine is chemical elements, then either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings' is true.", 'The claim that institutions providing religious education include madrasehs and maktabs holds true.']
|
So long as we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, 'some people mistakenly believe that candy corn is candy' is true. When red wolves eat smaller prey such as rodents, insects and rabbits is true, it follows that either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings. When the statement 'if we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, then candy corn is candy' can be considered false is true, it follows that astronauts feel body weight. Should it be the case that the statement 'if we know that the claim that if either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings, then biological indicators are the most accurate sterilization indicators is false, then candy corn is candy' can be considered false, it follows that it is not true that astronauts feel body weight. Either some women develop a pattern of frequent recurrences, occasionally as often as every month or factories also emit pollution into the skies and affect the air organisms breathe. If some women develop a pattern of frequent recurrences, occasionally as often as every month, then either red wolves eat smaller prey such as rodents, insects and rabbits or chlorine is chemical elements. If factories also emit pollution into the skies and affect the air organisms breathe, then either red wolves eat smaller prey such as rodents, insects and rabbits or chlorine is chemical elements. At least one of two things is true: some dogs have fluffy undercoat that clumps and mats as it falls out, or red squirrels are timorous and easily stressed. Provided that some dogs have fluffy undercoat that clumps and mats as it falls out, we know that if chlorine is chemical elements, then either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings. So long as institutions providing religious education include madrasehs and maktabs, 'if red squirrels are timorous and easily stressed, then if chlorine is chemical elements, then either brazil is rich in natural resources, yet has an enormous national debt or information is located in meetings' is true. The claim that institutions providing religious education include madrasehs and maktabs holds true.
|
biological indicators are the most accurate sterilization indicators.
|
Biological indicators are the most accurate sterilization indicators.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [3]. [SC1-2]
If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].).
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [3].).), then [8].
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then [3].).), then (Not [8].).
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [3]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either [1] or [2].).
If [5], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].).
If [7], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC3-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [5], then (Either [1] or [2].).).
If [10], then (If [5], then (Either [1] or [2].).). [SC3-3]
Therefore, If [5], then (Either [1] or [2].)..
[SC3-3]
Modus Ponens:
If [11], then (If [10], then (If [5], then (Either [1] or [2].).).).
[11]
Therefore, If [10], then (If [5], then (Either [1] or [2].).)..
|
{0: 'Biological indicators are the most accurate sterilization indicators.', 1: 'Brazil is rich in natural resources, yet has an enormous national debt.', 2: 'Information is located in meetings.', 3: 'Candy corn is candy.', 4: 'Red wolves eat smaller prey such as rodents, insects and rabbits.', 5: 'Chlorine is chemical elements.', 6: 'Some women develop a pattern of frequent recurrences, occasionally as often as every month.', 7: 'Factories also emit pollution into the skies and affect the air organisms breathe.', 8: 'Astronauts feel body weight.', 9: 'Some dogs have fluffy undercoat that clumps and mats as it falls out.', 10: 'Red squirrels are timorous and easily stressed.', 11: 'Institutions providing religious education include madrasehs and maktabs.'}
| 7 |
6,284 |
['We know that at least one of two things is true: glass is located in pockets, or powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits.', 'The claim that taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale does not correspond with reality.', 'On the condition that it is a common misconception that if glass is located in pockets, then tortoises use claws, it is definitely the case that mountain lions have extensive ranges.', 'On the condition that mountain lions have extensive ranges, it is definitely the case that if pressure depends on temperature, then multicellular systems display complex regulation of cell division, differentiation, and even death.', "So long as if pressure depends on temperature, then multicellular systems display complex regulation of cell division, differentiation, and even death, 'many smokers worry about weight gain if they stop smoking' is true.", 'Those that suggest many smokers worry about weight gain if they stop smoking are wrong.', "Assuming inflation is a rise in the average level of prices in the economy, we know that if the notion that 'if powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits, then tortoises use claws' is untrue, then taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale.", "So long as conserving biodiversity includes conserving wildlife habitat and sustaining wildlife populations, 'if the notion that 'if powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits, then tortoises use claws' is untrue, then taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale' is true.", 'Either one or both of these statements are true: some fish can survive up to twenty-one days without food but permanant intestinal damage can occur, or some people like to chat, but many make a habit of just reading or sleeping.', 'One may reasonably assume that if some fish can survive up to twenty-one days without food but permanant intestinal damage can occur, then inflation is a rise in the average level of prices in the economy.', 'Assuming some people like to chat, but many make a habit of just reading or sleeping, we know that conserving biodiversity includes conserving wildlife habitat and sustaining wildlife populations.']
|
We know that at least one of two things is true: glass is located in pockets, or powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits. The claim that taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale does not correspond with reality. On the condition that it is a common misconception that if glass is located in pockets, then tortoises use claws, it is definitely the case that mountain lions have extensive ranges. On the condition that mountain lions have extensive ranges, it is definitely the case that if pressure depends on temperature, then multicellular systems display complex regulation of cell division, differentiation, and even death. So long as if pressure depends on temperature, then multicellular systems display complex regulation of cell division, differentiation, and even death, 'many smokers worry about weight gain if they stop smoking' is true. Those that suggest many smokers worry about weight gain if they stop smoking are wrong. Assuming inflation is a rise in the average level of prices in the economy, we know that if the notion that 'if powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits, then tortoises use claws' is untrue, then taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale. So long as conserving biodiversity includes conserving wildlife habitat and sustaining wildlife populations, 'if the notion that 'if powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits, then tortoises use claws' is untrue, then taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale' is true. Either one or both of these statements are true: some fish can survive up to twenty-one days without food but permanant intestinal damage can occur, or some people like to chat, but many make a habit of just reading or sleeping. One may reasonably assume that if some fish can survive up to twenty-one days without food but permanant intestinal damage can occur, then inflation is a rise in the average level of prices in the economy. Assuming some people like to chat, but many make a habit of just reading or sleeping, we know that conserving biodiversity includes conserving wildlife habitat and sustaining wildlife populations.
|
It is the case that tortoises use claws.
|
The statement, tortoises use claws, does not hold.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [6].
If [6], then (If [4], then [5].).
Therefore, If (Not (If [1], then [0].).), then (If [4], then [5].)..
[SC2-2]
Modus Tonens:
If (If [4], then [5].), then [9].
Not [9].
Therefore, Not (If [4], then [5].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3].
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (If (Not (If [2], then [0].).), then [3].).
If [8], then (If (Not (If [2], then [0].).), then [3].).
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Constructive Dilemma:
Either [10] or [11].
If [10], then [7].
If [11], then [8].
Therefore, Either [7] or [8]..
|
{0: 'Tortoises use claws.', 1: 'Glass is located in pockets.', 2: 'Powdery mildew is spread by wind and survives on weeds, and other crops, especially cucurbits.', 3: 'Taiwanese skin is usually darker, and more yellow, compared to Japanese whose skin is pretty pale.', 4: 'Pressure depends on temperature.', 5: 'Multicellular systems display complex regulation of cell division, differentiation, and even death.', 6: 'Mountain lions have extensive ranges.', 7: 'Inflation is a rise in the average level of prices in the economy.', 8: 'Conserving biodiversity includes conserving wildlife habitat and sustaining wildlife populations.', 9: 'Many smokers worry about weight gain if they stop smoking.', 10: 'Some fish can survive up to twenty-one days without food but permanant intestinal damage can occur.', 11: 'Some people like to chat, but many make a habit of just reading or sleeping.'}
| 7 |
6,470 |
["Provided that the statement 'gophers are rodents' can be considered false, we know that some dogs eat tree bulbs or glass ornaments.", 'At least one of two things is true: corn prefers hot or warm, frost-free weather, or if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then pistols are weapons.', "The statement that 'corn prefers hot or warm, frost-free weather' is incorrect.", 'There is good reason to believe that either internet telephony is almost non-existent in Russia or either infants weigh pounds or death often comes in the form of pneumonia know as aspiration pneumonia.', 'Provided that either infants weigh pounds or death often comes in the form of pneumonia know as aspiration pneumonia, we know that if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then the statement, pistols are weapons, does not hold.', 'Either trivia is the name of the game at the initial stages of language learning or the claim that some dogs eat tree bulbs or glass ornaments has no merit.', 'The claim that trivia is the name of the game at the initial stages of language learning does not correspond with reality.', 'It is a fact that either either convection involves the movement of heated objects or omnivores have a different digestive system that either carnivores or herbivores or if internet telephony is almost non-existent in Russia, then if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then the statement, pistols are weapons, does not hold.', "The statement 'either convection involves the movement of heated objects or omnivores have a different digestive system that either carnivores or herbivores' can be considered false."]
|
Provided that the statement 'gophers are rodents' can be considered false, we know that some dogs eat tree bulbs or glass ornaments. At least one of two things is true: corn prefers hot or warm, frost-free weather, or if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then pistols are weapons. The statement that 'corn prefers hot or warm, frost-free weather' is incorrect. There is good reason to believe that either internet telephony is almost non-existent in Russia or either infants weigh pounds or death often comes in the form of pneumonia know as aspiration pneumonia. Provided that either infants weigh pounds or death often comes in the form of pneumonia know as aspiration pneumonia, we know that if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then the statement, pistols are weapons, does not hold. Either trivia is the name of the game at the initial stages of language learning or the claim that some dogs eat tree bulbs or glass ornaments has no merit. The claim that trivia is the name of the game at the initial stages of language learning does not correspond with reality. It is a fact that either either convection involves the movement of heated objects or omnivores have a different digestive system that either carnivores or herbivores or if internet telephony is almost non-existent in Russia, then if it is not the case that if gophers are rodents, then yuccas make great houseplants when young, then the statement, pistols are weapons, does not hold. The statement 'either convection involves the movement of heated objects or omnivores have a different digestive system that either carnivores or herbivores' can be considered false.
|
The claim that yuccas make great houseplants when young holds true.
|
Most yuccas also have dangerous points at the ends of the leaves.
|
Uncertain
|
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]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [1], then [0].).), then [2].).
Not [4].
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If [1], then [0].).), then (Not [2].).). [SC2-3]
If (Either [6] or [7].), then (If (Not (If [1], then [0].).), then (Not [2].).).
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If [5], then (If (Not (If [1], then [0].).), then (Not [2].).).).
Not (Either [9] or [10].).
Therefore, If [5], then (If (Not (If [1], then [0].).), then (Not [2].).)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].).
Not [8].
Therefore, Not [3]..
|
{0: 'Yuccas make great houseplants when young.', 1: 'Gophers are rodents.', 2: 'Pistols are weapons.', 3: 'Some dogs eat tree bulbs or glass ornaments.', 4: 'Corn prefers hot or warm, frost-free weather.', 5: 'Internet telephony is almost non-existent in Russia.', 6: 'Infants weigh pounds.', 7: 'Death often comes in the form of pneumonia know as aspiration pneumonia.', 8: 'Trivia is the name of the game at the initial stages of language learning.', 9: 'Convection involves the movement of heated objects.', 10: 'Omnivores have a different digestive system that either carnivores or herbivores.'}
| 7 |
6,426 |
['The statement, nuclear energy comes in two forms, fission and fusion, does not hold.', 'If some people mistakenly believe that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then either coffee causes cancer or silk is books, then most puffballs produce spores.', 'Once we know most puffballs produce spores, we also know that nuclear energy comes in two forms, fission and fusion.', "On the condition that the statement 'if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then most injuries are to the soft tissue and occur most frequently in the lower extremities' can be considered false, it is definitely the case that many corrosives are also water reactive.", "Assuming the statement 'if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then most injuries are to the soft tissue and occur most frequently in the lower extremities' can be considered false, we know that the claim that many corrosives are also water reactive does not reflect reality.", 'Either one or both of these statements are true: repercussion is an effect, or plant pigments have different functions.', 'If plant pigments have different functions, then if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then the claim that most injuries are to the soft tissue and occur most frequently in the lower extremities does not correspond with reality.', "If the statement that 'if repercussion is an effect, then if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then the claim that most injuries are to the soft tissue and occur most frequently in the lower extremities does not correspond with reality' is incorrect, then sales tax is due on the selling price of cigarettes.", "The notion that 'sales tax is due on the selling price of cigarettes' is untrue."]
|
The statement, nuclear energy comes in two forms, fission and fusion, does not hold. If some people mistakenly believe that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then either coffee causes cancer or silk is books, then most puffballs produce spores. Once we know most puffballs produce spores, we also know that nuclear energy comes in two forms, fission and fusion. On the condition that the statement 'if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then most injuries are to the soft tissue and occur most frequently in the lower extremities' can be considered false, it is definitely the case that many corrosives are also water reactive. Assuming the statement 'if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then most injuries are to the soft tissue and occur most frequently in the lower extremities' can be considered false, we know that the claim that many corrosives are also water reactive does not reflect reality. Either one or both of these statements are true: repercussion is an effect, or plant pigments have different functions. If plant pigments have different functions, then if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then the claim that most injuries are to the soft tissue and occur most frequently in the lower extremities does not correspond with reality. If the statement that 'if repercussion is an effect, then if the claim that if the claim that most amphibians leave their eggs to look after themselves does not correspond with reality, then the claim that either coffee causes cancer or silk is books has no merit does not reflect reality, then the claim that most injuries are to the soft tissue and occur most frequently in the lower extremities does not correspond with reality' is incorrect, then sales tax is due on the selling price of cigarettes. The notion that 'sales tax is due on the selling price of cigarettes' is untrue.
|
Those that suggest most amphibians leave their eggs to look after themselves are right.
|
The claim that most amphibians leave their eggs to look after themselves does not correspond with reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (Either [1] or [2].).).), then [3]. [SC1-2]
Not [3].
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Either [1] or [2].).).), then [8].
If [8], then [3].
Therefore, If (Not (If (Not [0].), then (Either [1] or [2].).).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [4]. [SC1-2]
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].). [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [4].).), then [5].
If (Not (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [4].).), then (Not [5].).
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [4]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].).). [SC2-3]
If [7], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].).).
Therefore, If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].)..
[SC2-3]
Modus Tonens:
If (Not (If [6], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].).).).), then [9].
Not [9].
Therefore, If [6], then (If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then (Not [4].).)..
|
{0: 'Most amphibians leave their eggs to look after themselves .', 1: 'Coffee causes cancer.', 2: 'Silk is books.', 3: 'Nuclear energy comes in two forms, fission and fusion.', 4: 'Most injuries are to the soft tissue and occur most frequently in the lower extremities.', 5: 'Many corrosives are also water reactive.', 6: 'Repercussion is an effect.', 7: 'Plant pigments have different functions.', 8: 'Most puffballs produce spores.', 9: 'Sales tax is due on the selling price of cigarettes.'}
| 7 |
6,281 |
['One may reasonably assume that if time delays play an important role in many biological and ecological systems, then technology has the ability to change history.', 'On the condition that cold war is antagonism, it is definitely the case that we know that the claim that turkeys are very social animals is false.', 'Assuming some farms raise butterflies, we know that if technology has the ability to change history, then turkeys are very social animals.', 'If most foster parents raise chicks, then cold war is antagonism.', 'The claim that most foster parents raise chicks is true.', 'At least one of two things is true: microwave radars require larger antennas and therefore are harder to focus or create beams, or most sea snails have a lid-like part, called an operculum, which serves to close the entrance.', 'Provided that microwave radars require larger antennas and therefore are harder to focus or create beams, we know that corkscrews are roller coasters.', 'Should it be the case that most sea snails have a lid-like part, called an operculum, which serves to close the entrance, it follows that some farms raise butterflies.', 'There is good reason to believe that either lighter shades correspond to large amplitudes and darker shades to small amplitudes or seagulls have capability.', 'If lighter shades correspond to large amplitudes and darker shades to small amplitudes, then if corkscrews are roller coasters, then if technology has the ability to change history, then turkeys are very social animals.', 'Assuming seagulls have capability, we know that if corkscrews are roller coasters, then if technology has the ability to change history, then turkeys are very social animals.']
|
One may reasonably assume that if time delays play an important role in many biological and ecological systems, then technology has the ability to change history. On the condition that cold war is antagonism, it is definitely the case that we know that the claim that turkeys are very social animals is false. Assuming some farms raise butterflies, we know that if technology has the ability to change history, then turkeys are very social animals. If most foster parents raise chicks, then cold war is antagonism. The claim that most foster parents raise chicks is true. At least one of two things is true: microwave radars require larger antennas and therefore are harder to focus or create beams, or most sea snails have a lid-like part, called an operculum, which serves to close the entrance. Provided that microwave radars require larger antennas and therefore are harder to focus or create beams, we know that corkscrews are roller coasters. Should it be the case that most sea snails have a lid-like part, called an operculum, which serves to close the entrance, it follows that some farms raise butterflies. There is good reason to believe that either lighter shades correspond to large amplitudes and darker shades to small amplitudes or seagulls have capability. If lighter shades correspond to large amplitudes and darker shades to small amplitudes, then if corkscrews are roller coasters, then if technology has the ability to change history, then turkeys are very social animals. Assuming seagulls have capability, we know that if corkscrews are roller coasters, then if technology has the ability to change history, then turkeys are very social animals.
|
Some people mistakenly believe that time delays play an important role in many biological and ecological systems.
|
The claim that time delays are ubiquitous in the nervous system does not reflect reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3].
If [3], then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If [3], then [1].). [SC2-3]
If [5], then (If [3], then [1].).
Therefore, If [3], then [1]..
[SC1-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then [4].
If [10], then [5].
Therefore, Either [4] or [5]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then (If [3], then [1].).).
If [8], then (If [4], then (If [3], then [1].).).
Therefore, If [4], then (If [3], then [1].)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [6], then [2].
[6]
Therefore, [2].
|
{0: 'Time delays play an important role in many biological and ecological systems.', 1: 'Turkeys are very social animals.', 2: 'Cold war is antagonism.', 3: 'Technology has the ability to change history.', 4: 'Corkscrews are roller coasters.', 5: 'Some farms raise butterflies.', 6: 'Most foster parents raise chicks.', 7: 'Lighter shades correspond to large amplitudes and darker shades to small amplitudes.', 8: 'Seagulls have capability.', 9: 'Microwave radars require larger antennas and therefore are harder to focus or create beams.', 10: 'Most sea snails have a lid-like part, called an operculum, which serves to close the entrance.'}
| 7 |
6,120 |
['One may reasonably assume that if if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today, then rabbits die of sickness.', 'It is rational to believe that either addiction is a progressive disease that only gets worse or atmospheric turbulence is caused by random fluctuations in the wind flow .', 'One may reasonably assume that if atmospheric turbulence is caused by random fluctuations in the wind flow , then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today.', 'It is a fact that either a phlogopite is a mineral or if agencies are businesses, then clear polyethylene provides increased temperatures by the greenhouse effect.', 'Given that a phlogopite is a mineral, it can be inferred that if cooperative housing is another form of shared ownership, then if addiction is a progressive disease that only gets worse, then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today.', 'Given that if agencies are businesses, then clear polyethylene provides increased temperatures by the greenhouse effect, it can be inferred that if cooperative housing is another form of shared ownership, then if addiction is a progressive disease that only gets worse, then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today.', 'We know that at least one of two things is true: heat causes current, or if denial is the common denominator in every chemically dependent family, then rates are proportion.', "Whenever it is true that the statement 'if heat causes current, then cooperative housing is another form of shared ownership' can be considered false, 'some snails have pale skin' is true.", "One may reasonably assume that if the statement 'if heat causes current, then cooperative housing is another form of shared ownership' can be considered false, then it is a common misconception that some snails have pale skin.", 'One may reasonably assume that if if denial is the common denominator in every chemically dependent family, then rates are proportion, then many different agents can cause a gill disease, i.e. parasites and bacteria.', 'Given that many different agents can cause a gill disease, i.e. parasites and bacteria, it can be inferred that cooperative housing is another form of shared ownership.']
|
One may reasonably assume that if if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today, then rabbits die of sickness. It is rational to believe that either addiction is a progressive disease that only gets worse or atmospheric turbulence is caused by random fluctuations in the wind flow . One may reasonably assume that if atmospheric turbulence is caused by random fluctuations in the wind flow , then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today. It is a fact that either a phlogopite is a mineral or if agencies are businesses, then clear polyethylene provides increased temperatures by the greenhouse effect. Given that a phlogopite is a mineral, it can be inferred that if cooperative housing is another form of shared ownership, then if addiction is a progressive disease that only gets worse, then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today. Given that if agencies are businesses, then clear polyethylene provides increased temperatures by the greenhouse effect, it can be inferred that if cooperative housing is another form of shared ownership, then if addiction is a progressive disease that only gets worse, then if irrigation is an alternative to wearing a colostomy appliance, then social class is a major factor in infant mortality, both historically and today. We know that at least one of two things is true: heat causes current, or if denial is the common denominator in every chemically dependent family, then rates are proportion. Whenever it is true that the statement 'if heat causes current, then cooperative housing is another form of shared ownership' can be considered false, 'some snails have pale skin' is true. One may reasonably assume that if the statement 'if heat causes current, then cooperative housing is another form of shared ownership' can be considered false, then it is a common misconception that some snails have pale skin. One may reasonably assume that if if denial is the common denominator in every chemically dependent family, then rates are proportion, then many different agents can cause a gill disease, i.e. parasites and bacteria. Given that many different agents can cause a gill disease, i.e. parasites and bacteria, it can be inferred that cooperative housing is another form of shared ownership.
|
It is rational to agree that rabbits die of sickness.
|
Rabbits can transmit ringworm sarcoptic mange and salmonella.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0].
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [2].). [SC2-2]
If [4], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If [5], then (If [3], then (If [1], then [2].).). [SC1-3]
[5] [SC2-3]
Therefore, If [3], then (If [1], then [2].)..
[SC1-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [5], then (If [3], then (If [1], then [2].).).).
If (If [7], then [8].), then (If [5], then (If [3], then (If [1], then [2].).).).
Therefore, If [5], then (If [3], then (If [1], then [2].).)..
[SC2-3]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then [5]. [SC2-4]
If (If [10], then [11].), then [5]. [SC3-4]
Therefore, [5].
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [9], then [5].).), then [12].
If (Not (If [9], then [5].).), then (Not [12].).
Therefore, If [9], then [5]..
[SC3-4]
Hypothetical Syllogism:
If (If [10], then [11].), then [13].
If [13], then [5].
Therefore, If (If [10], then [11].), then [5]..
|
{0: 'Rabbits die of sickness.', 1: 'Irrigation is an alternative to wearing a colostomy appliance.', 2: 'Social class is a major factor in infant mortality, both historically and today.', 3: 'Addiction is a progressive disease that only gets worse.', 4: 'Atmospheric turbulence is caused by random fluctuations in the wind flow .', 5: 'Cooperative housing is another form of shared ownership.', 6: 'A phlogopite is a mineral.', 7: 'Agencies are businesses.', 8: 'Clear polyethylene provides increased temperatures by the greenhouse effect.', 9: 'Heat causes current.', 10: 'Denial is the common denominator in every chemically dependent family.', 11: 'Rates are proportion.', 12: 'Some snails have pale skin.', 13: 'Many different agents can cause a gill disease, i.e. parasites and bacteria.'}
| 7 |
6,593 |
['Provided that rabbits are susceptible to several diseases that reduce production to unprofitable levels, we know that it is not the case that some people thrive in situations that turn many others into victims.', 'One may reasonably assume that if the claim that rabbits are susceptible to several diseases that reduce production to unprofitable levels does not reflect reality, then most diets have fruit.', "So long as most diets have fruit, 'value is a non-variable term, or another attributed variable' is true.", 'The claim that if some red pigment absorbs heat, then dinosaurs remain dominant but gradually decline in diversity and importance does not correspond with reality.', "Whenever it is true that drone larvae grow larger than either workers or queens and, therefore, require more food, 'it is not true that value is a non-variable term, or another attributed variable' is true.", 'At least one of two things is true: most animals have pink bellies, or animals have precious little energy.', 'When most animals have pink bellies is true, it follows that either human rights are dependent upon the acceptance of an idea or drone larvae grow larger than either workers or queens and, therefore, require more food.', 'When animals have precious little energy is true, it follows that either human rights are dependent upon the acceptance of an idea or drone larvae grow larger than either workers or queens and, therefore, require more food.', "On the condition that the notion that 'if human rights are dependent upon the acceptance of an idea, then if some red pigment absorbs heat, then dinosaurs remain dominant but gradually decline in diversity and importance' is untrue, it is definitely the case that planetary names come from Greek and Roman mythology.", 'It is not true that planetary names come from Greek and Roman mythology.']
|
Provided that rabbits are susceptible to several diseases that reduce production to unprofitable levels, we know that it is not the case that some people thrive in situations that turn many others into victims. One may reasonably assume that if the claim that rabbits are susceptible to several diseases that reduce production to unprofitable levels does not reflect reality, then most diets have fruit. So long as most diets have fruit, 'value is a non-variable term, or another attributed variable' is true. The claim that if some red pigment absorbs heat, then dinosaurs remain dominant but gradually decline in diversity and importance does not correspond with reality. Whenever it is true that drone larvae grow larger than either workers or queens and, therefore, require more food, 'it is not true that value is a non-variable term, or another attributed variable' is true. At least one of two things is true: most animals have pink bellies, or animals have precious little energy. When most animals have pink bellies is true, it follows that either human rights are dependent upon the acceptance of an idea or drone larvae grow larger than either workers or queens and, therefore, require more food. When animals have precious little energy is true, it follows that either human rights are dependent upon the acceptance of an idea or drone larvae grow larger than either workers or queens and, therefore, require more food. On the condition that the notion that 'if human rights are dependent upon the acceptance of an idea, then if some red pigment absorbs heat, then dinosaurs remain dominant but gradually decline in diversity and importance' is untrue, it is definitely the case that planetary names come from Greek and Roman mythology. It is not true that planetary names come from Greek and Roman mythology.
|
It is not the case that some people thrive in situations that turn many others into victims.
|
The statement that 'some people have allergies to pyrophosphate which can be seen when gums burn or peel' is incorrect.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [3].
If [3], then [2].
Therefore, If (Not [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Not [2].). [SC1-3]
Not (If [4], then [5].).
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either [6] or [7]. [SC1-4]
If [6], then (If [4], then [5].). [SC2-4]
If [7], then (Not [2].).
Therefore, Either (If [4], then [5].) or (Not [2].)..
[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]..
[SC2-4]
Modus Tonens:
If (Not (If [6], then (If [4], then [5].).).), then [10].
Not [10].
Therefore, If [6], then (If [4], then [5].)..
|
{0: 'Some people thrive in situations that turn many others into victims.', 1: 'Rabbits are susceptible to several diseases that reduce production to unprofitable levels.', 2: 'Value is a non-variable term, or another attributed variable.', 3: 'Most diets have fruit.', 4: 'Some red pigment absorbs heat.', 5: 'Dinosaurs remain dominant but gradually decline in diversity and importance.', 6: 'Human rights are dependent upon the acceptance of an idea.', 7: 'Drone larvae grow larger than either workers or queens and, therefore, require more food.', 8: 'Most animals have pink bellies.', 9: 'Animals have precious little energy.', 10: 'Planetary names come from Greek and Roman mythology.'}
| 7 |
6,981 |
['Given that protein interactions underlie most virus disease processes, it can be inferred that elasticity usually changes along a demand curve - even when the demand curve is a straight line.', "The statement that 'if depression is the most common precurson of suicide, then most roots have buds' is incorrect.", "The statement that 'maps are simply models of the real world' is incorrect.", 'Provided that hair color is due to pigment in the cortex, we know that if several species eat herring roe, then dendrites extend from the cell body and send nerve impulses to other neurons.', 'The claim that if several species eat herring roe, then dendrites extend from the cell body and send nerve impulses to other neurons does not correspond with reality.', 'There is good reason to believe that either forensic pathology involves the study of disease or drake is someone who always gets away from trouble .', 'On the condition that forensic pathology involves the study of disease, it is definitely the case that maps are simply models of the real world.', 'We know that either skunks are capable of spray or many types of bacteria are helpful, even necessary, for the proper functioning of our bodies.', 'Once we know skunks are capable of spray, we also know that if drake is someone who always gets away from trouble , then if the statement, either if depression is the most common precurson of suicide, then most roots have buds or protein interactions underlie most virus disease processes, does not hold, then hair color is due to pigment in the cortex.', 'Provided that many types of bacteria are helpful, even necessary, for the proper functioning of our bodies, we know that if drake is someone who always gets away from trouble , then if the statement, either if depression is the most common precurson of suicide, then most roots have buds or protein interactions underlie most virus disease processes, does not hold, then hair color is due to pigment in the cortex.']
|
Given that protein interactions underlie most virus disease processes, it can be inferred that elasticity usually changes along a demand curve - even when the demand curve is a straight line. The statement that 'if depression is the most common precurson of suicide, then most roots have buds' is incorrect. The statement that 'maps are simply models of the real world' is incorrect. Provided that hair color is due to pigment in the cortex, we know that if several species eat herring roe, then dendrites extend from the cell body and send nerve impulses to other neurons. The claim that if several species eat herring roe, then dendrites extend from the cell body and send nerve impulses to other neurons does not correspond with reality. There is good reason to believe that either forensic pathology involves the study of disease or drake is someone who always gets away from trouble . On the condition that forensic pathology involves the study of disease, it is definitely the case that maps are simply models of the real world. We know that either skunks are capable of spray or many types of bacteria are helpful, even necessary, for the proper functioning of our bodies. Once we know skunks are capable of spray, we also know that if drake is someone who always gets away from trouble , then if the statement, either if depression is the most common precurson of suicide, then most roots have buds or protein interactions underlie most virus disease processes, does not hold, then hair color is due to pigment in the cortex. Provided that many types of bacteria are helpful, even necessary, for the proper functioning of our bodies, we know that if drake is someone who always gets away from trouble , then if the statement, either if depression is the most common precurson of suicide, then most roots have buds or protein interactions underlie most virus disease processes, does not hold, then hair color is due to pigment in the cortex.
|
It is true that elasticity usually changes along a demand curve - even when the demand curve is a straight line.
|
Elasticity increases with availability of substitutes.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or [1]. [SC1-2]
Not (If [2], then [3].).
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (Either (If [2], then [3].) or [1].).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Either (If [2], then [3].) or [1]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If (Not (Either (If [2], then [3].) or [1].).), then [4].). [SC1-4]
Not [5].
Therefore, If (Not (Either (If [2], then [3].) or [1].).), then [4]..
[SC1-4]
Constructive Dilemma:
Either [8] or [9].
If [8], then [5].
If [9], then (If (Not (Either (If [2], then [3].) or [1].).), then [4].). [SC3-5]
Therefore, Either [5] or (If (Not (Either (If [2], then [3].) or [1].).), then [4].)..
[SC3-5]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [9], then (If (Not (Either (If [2], then [3].) or [1].).), then [4].).).
If [11], then (If [9], then (If (Not (Either (If [2], then [3].) or [1].).), then [4].).).
Therefore, If [9], then (If (Not (Either (If [2], then [3].) or [1].).), then [4].)..
[SC2-3]
Modus Tonens:
If [4], then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, Not [4]..
|
{0: 'Elasticity usually changes along a demand curve - even when the demand curve is a straight line.', 1: 'Protein interactions underlie most virus disease processes.', 2: 'Depression is the most common precurson of suicide.', 3: 'Most roots have buds.', 4: 'Hair color is due to pigment in the cortex.', 5: 'Maps are simply models of the real world.', 6: 'Several species eat herring roe.', 7: 'Dendrites extend from the cell body and send nerve impulses to other neurons.', 8: 'Forensic pathology involves the study of disease.', 9: 'Drake is someone who always gets away from trouble .', 10: 'Skunks are capable of spray.', 11: 'Many types of bacteria are helpful, even necessary, for the proper functioning of our bodies.'}
| 7 |
6,013 |
["Whenever it is true that most chickens has-part throats, 'specific individuals exhibit behavior' is true.", "Given that the notion that 'either kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds or either most chickens has-part throats or either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun' is untrue, it can be inferred that enzymes chop the DNA chains into many pieces of varying lengths.", "If the notion that 'either kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds or either most chickens has-part throats or either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun' is untrue, then the statement that 'enzymes chop the DNA chains into many pieces of varying lengths' is incorrect.", 'We know that at least one of two things is true: golden hamsters mark their burrows with secretions from special scent glands on their hips, or cities run independent of townships.', "When golden hamsters mark their burrows with secretions from special scent glands on their hips is true, it follows that the statement that 'kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds' is incorrect.", "So long as cities run independent of townships, 'the statement that 'kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds' is incorrect' is true.", 'There is good reason to believe that either if potassium isa metal, then few states can boast six of the seven life zones on earth or if either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun, then spices are plant materials.', "The notion that 'if potassium isa metal, then few states can boast six of the seven life zones on earth' is untrue.", 'If spices are plant materials, then gregarious larvae feed in large groups which become progressively smaller as caterpillars develop.', 'Given that gregarious larvae feed in large groups which become progressively smaller as caterpillars develop, it can be inferred that specific individuals exhibit behavior.']
|
Whenever it is true that most chickens has-part throats, 'specific individuals exhibit behavior' is true. Given that the notion that 'either kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds or either most chickens has-part throats or either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun' is untrue, it can be inferred that enzymes chop the DNA chains into many pieces of varying lengths. If the notion that 'either kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds or either most chickens has-part throats or either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun' is untrue, then the statement that 'enzymes chop the DNA chains into many pieces of varying lengths' is incorrect. We know that at least one of two things is true: golden hamsters mark their burrows with secretions from special scent glands on their hips, or cities run independent of townships. When golden hamsters mark their burrows with secretions from special scent glands on their hips is true, it follows that the statement that 'kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds' is incorrect. So long as cities run independent of townships, 'the statement that 'kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds' is incorrect' is true. There is good reason to believe that either if potassium isa metal, then few states can boast six of the seven life zones on earth or if either some forest elephants inhabit congo basins or caulk is the material that comes in a tube and is forced out with a caulking gun, then spices are plant materials. The notion that 'if potassium isa metal, then few states can boast six of the seven life zones on earth' is untrue. If spices are plant materials, then gregarious larvae feed in large groups which become progressively smaller as caterpillars develop. Given that gregarious larvae feed in large groups which become progressively smaller as caterpillars develop, it can be inferred that specific individuals exhibit behavior.
|
Those that suggest specific individuals exhibit behavior are right.
|
The statement 'specific individuals exhibit behavior' can be considered false.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0].
If (Either [2] or [3].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or (Either [2] or [3].).). [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 [10].
If (Not (Either [4] or (Either [1] or (Either [2] or [3].).).).), then (Not [10].).
Therefore, Either [4] or (Either [1] or (Either [2] or [3].).)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [4].).
If [9], then (Not [4].).
Therefore, Not [4]..
[SC3-1]
Hypothetical Syllogism:
If (Either [2] or [3].), then [5]. [SC1-2]
If [5], then [0]. [SC2-2]
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (Either [2] or [3].), then [5].).
Not (If [6], then [7].).
Therefore, If (Either [2] or [3].), then [5]..
[SC2-2]
Hypothetical Syllogism:
If [5], then [11].
If [11], then [0].
Therefore, If [5], then [0]..
|
{0: 'Specific individuals exhibit behavior.', 1: 'Most chickens has-part throats.', 2: 'Some forest elephants inhabit congo basins.', 3: 'Caulk is the material that comes in a tube and is forced out with a caulking gun.', 4: 'Kingfishers are water specialists, they nest close to clean rivers, streams, lakes and ponds.', 5: 'Spices are plant materials.', 6: 'Potassium isa metal.', 7: 'Few states can boast six of the seven life zones on earth.', 8: 'Golden hamsters mark their burrows with secretions from special scent glands on their hips.', 9: 'Cities run independent of townships.', 10: 'Enzymes chop the DNA chains into many pieces of varying lengths.', 11: 'Gregarious larvae feed in large groups which become progressively smaller as caterpillars develop.'}
| 7 |
6,655 |
['Should it be the case that either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, it follows that either temperate lakes have uniform temperature or ferrets have (part) chest cavities.', 'We know that the claim that poodles have (part) piluses is false.', 'One may reasonably assume that if the claim that if it is not the case that either poodles have (part) piluses or if either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, then the statement that states either temperate lakes have uniform temperature or ferrets have (part) chest cavities is false, then most cultures have specific designs and colour schemes that can be identified has no merit, then if dogs are located in front doors, then gasoline has similar cyclical spikes in the summer, when vacationers are on the road.', 'The claim that if dogs are located in front doors, then gasoline has similar cyclical spikes in the summer, when vacationers are on the road has no merit.', "Whenever it is true that the statement that states if most cheetahs have shoulder height, then if it is not the case that either poodles have (part) piluses or if either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, then the statement that states either temperate lakes have uniform temperature or ferrets have (part) chest cavities is false, then the claim that most cultures have specific designs and colour schemes that can be identified has no merit is false, 'adult mayflies have similarity' is true.", "The statement 'adult mayflies have similarity' can be considered false.", 'One may reasonably assume that if security systems switch alarms and signals on when a space is illegally occupied, then most cheetahs have shoulder height.', 'It is the case that security systems switch alarms and signals on when a space is illegally occupied.']
|
Should it be the case that either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, it follows that either temperate lakes have uniform temperature or ferrets have (part) chest cavities. We know that the claim that poodles have (part) piluses is false. One may reasonably assume that if the claim that if it is not the case that either poodles have (part) piluses or if either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, then the statement that states either temperate lakes have uniform temperature or ferrets have (part) chest cavities is false, then most cultures have specific designs and colour schemes that can be identified has no merit, then if dogs are located in front doors, then gasoline has similar cyclical spikes in the summer, when vacationers are on the road. The claim that if dogs are located in front doors, then gasoline has similar cyclical spikes in the summer, when vacationers are on the road has no merit. Whenever it is true that the statement that states if most cheetahs have shoulder height, then if it is not the case that either poodles have (part) piluses or if either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments, then the statement that states either temperate lakes have uniform temperature or ferrets have (part) chest cavities is false, then the claim that most cultures have specific designs and colour schemes that can be identified has no merit is false, 'adult mayflies have similarity' is true. The statement 'adult mayflies have similarity' can be considered false. One may reasonably assume that if security systems switch alarms and signals on when a space is illegally occupied, then most cheetahs have shoulder height. It is the case that security systems switch alarms and signals on when a space is illegally occupied.
|
The statement that states either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments is false.
|
The statement that states either urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase or most hardy plants grow in environments is false.
|
TRUE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then (Either [2] or [3].).
If (Either [0] or [1].), then (Not (Either [2] or [3].).). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).). [SC1-2]
Not [4].
Therefore, If (Either [0] or [1].), then (Not (Either [2] or [3].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then [5]. [SC1-3]
If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then (Not [5].). [SC2-3]
Therefore, Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then [5].).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then [5]..
[SC2-3]
Modus Ponens:
If [8], then (If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then (Not [5].).). [SC1-4]
[8] [SC2-4]
Therefore, If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then (Not [5].)..
[SC1-4]
Modus Tonens:
If (Not (If [8], then (If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then (Not [5].).).).), then [10].
Not [10].
Therefore, If [8], then (If (Not (Either [4] or (If (Either [0] or [1].), then (Not (Either [2] or [3].).).).).), then (Not [5].).)..
[SC2-4]
Modus Ponens:
If [9], then [8].
[9]
Therefore, [8].
|
{0: 'Urine flow begins to decrease as soon as fluid intake lessens or fluid losses increase.', 1: 'Most hardy plants grow in environments.', 2: 'Temperate lakes have uniform temperature.', 3: 'Ferrets have (part) chest cavities.', 4: 'Poodles have (part) piluses.', 5: 'Most cultures have specific designs and colour schemes that can be identified.', 6: 'Dogs are located in front doors.', 7: 'Gasoline has similar cyclical spikes in the summer, when vacationers are on the road.', 8: 'Most cheetahs have shoulder height.', 9: 'Security systems switch alarms and signals on when a space is illegally occupied.', 10: 'Adult mayflies have similarity.'}
| 7 |
6,455 |
['On the condition that most rodents have similar appearances, it is definitely the case that the claim that chemistry is an essential part of our lives is false.', 'On the condition that it is not true that either earth is the fifth-largest planet and the third from the sun or if most rodents have similar appearances, then chemistry is an essential part of our lives, it is definitely the case that if cats are very territorial, then international law is also increasingly applicable to individuals in their relations with states.', 'When earth is the fifth-largest planet and the third from the sun is true, it follows that the claim that decomposition occurs in lower layers is false.', 'If if cats are very territorial, then international law is also increasingly applicable to individuals in their relations with states, then medical conditions require diets.', "The notion that 'medical conditions require diets' is untrue.", 'If electromagnetic interference is a big problem when transmitting data, then rice is white.', 'Either goats provide manure or if if electromagnetic interference is a big problem when transmitting data, then rice is white, then if earth is the fifth-largest planet and the third from the sun, then decomposition occurs in lower layers.', 'It is not the case that goats provide manure.']
|
On the condition that most rodents have similar appearances, it is definitely the case that the claim that chemistry is an essential part of our lives is false. On the condition that it is not true that either earth is the fifth-largest planet and the third from the sun or if most rodents have similar appearances, then chemistry is an essential part of our lives, it is definitely the case that if cats are very territorial, then international law is also increasingly applicable to individuals in their relations with states. When earth is the fifth-largest planet and the third from the sun is true, it follows that the claim that decomposition occurs in lower layers is false. If if cats are very territorial, then international law is also increasingly applicable to individuals in their relations with states, then medical conditions require diets. The notion that 'medical conditions require diets' is untrue. If electromagnetic interference is a big problem when transmitting data, then rice is white. Either goats provide manure or if if electromagnetic interference is a big problem when transmitting data, then rice is white, then if earth is the fifth-largest planet and the third from the sun, then decomposition occurs in lower layers. It is not the case that goats provide manure.
|
It is not true that most rodents have similar appearances.
|
The claim that most rodents have similar appearances holds true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (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]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then (If [4], then [5].).
Not (If [4], then [5].). [SC2-3]
Therefore, Either [2] or (If [0], then [1].)..
[SC2-3]
Modus Tonens:
If (If [4], then [5].), then [6].
Not [6].
Therefore, Not (If [4], then [5].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-3]
If [2], then (Not [3].).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If (If [7], then [8].), then (If [2], then [3].). [SC1-4]
If [7], then [8].
Therefore, If [2], then [3]..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (If (If [7], then [8].), then (If [2], then [3].).).
Not [9].
Therefore, If (If [7], then [8].), then (If [2], then [3].)..
|
{0: 'Most rodents have similar appearances.', 1: 'Chemistry is an essential part of our lives.', 2: 'Earth is the fifth-largest planet and the third from the sun.', 3: 'Decomposition occurs in lower layers.', 4: 'Cats are very territorial.', 5: 'International law is also increasingly applicable to individuals in their relations with states.', 6: 'Medical conditions require diets.', 7: 'Electromagnetic interference is a big problem when transmitting data.', 8: 'Rice is white.', 9: 'Goats provide manure.'}
| 7 |
6,584 |
['When reptiles are tetrapod vertebrates that produce amniotic eggs is true, it follows that most woodwind instruments produce sound.', 'Should it be the case that the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, it follows that it is not the case that if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders.', 'On the condition that if hummingbirds return to nests, then some smoke causes respiratory diseases, it is definitely the case that if the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, then if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders.', 'Given that if recognition is appointments, then phase proteins play various roles, it can be inferred that most alligators have years.', "Whenever it is true that the claim that if most alligators have years, then if the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, then if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders does not reflect reality, 'either seahorses are the only animals in which the male actually becomes pregnant or microbiologists regularly use complex mathematical equations and formulas in their work' is true.", 'The claim that either seahorses are the only animals in which the male actually becomes pregnant or microbiologists regularly use complex mathematical equations and formulas in their work is false.', 'It is a fact that either most metal has properties or diabetics are normal people.', "Whenever it is true that most metal has properties, 'if recognition is appointments, then phase proteins play various roles' is true.", 'Provided that diabetics are normal people, we know that critters live in communal dens.', 'One may reasonably assume that if eyes are part of heads, then if critters live in communal dens, then if hummingbirds return to nests, then some smoke causes respiratory diseases.', 'It is reasonable to believe that eyes are part of heads.']
|
When reptiles are tetrapod vertebrates that produce amniotic eggs is true, it follows that most woodwind instruments produce sound. Should it be the case that the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, it follows that it is not the case that if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders. On the condition that if hummingbirds return to nests, then some smoke causes respiratory diseases, it is definitely the case that if the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, then if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders. Given that if recognition is appointments, then phase proteins play various roles, it can be inferred that most alligators have years. Whenever it is true that the claim that if most alligators have years, then if the claim that reptiles are tetrapod vertebrates that produce amniotic eggs does not correspond with reality, then if almond butter is a creamy, subtly sweet nut butter, then obesity reduces life expectancy because it increases the risk of other health disorders does not reflect reality, 'either seahorses are the only animals in which the male actually becomes pregnant or microbiologists regularly use complex mathematical equations and formulas in their work' is true. The claim that either seahorses are the only animals in which the male actually becomes pregnant or microbiologists regularly use complex mathematical equations and formulas in their work is false. It is a fact that either most metal has properties or diabetics are normal people. Whenever it is true that most metal has properties, 'if recognition is appointments, then phase proteins play various roles' is true. Provided that diabetics are normal people, we know that critters live in communal dens. One may reasonably assume that if eyes are part of heads, then if critters live in communal dens, then if hummingbirds return to nests, then some smoke causes respiratory diseases. It is reasonable to believe that eyes are part of heads.
|
It is fair to say that most woodwind instruments produce sound.
|
The claim that most woodwind instruments produce sound is false.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [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]
Disjunction Elimination:
Either [4] or (If [5], then [6].). [SC1-3]
If [4], then (If (Not [1].), then (If [2], then [3].).). [SC2-3]
If (If [5], then [6].), then (If (Not [1].), then (If [2], then [3].).).
Therefore, If (Not [1].), then (If [2], then [3].)..
[SC1-3]
Constructive Dilemma:
Either (If [7], then [8].) or [9]. [SC1-4]
If (If [7], then [8].), then [4].
If [9], then (If [5], then [6].). [SC3-4]
Therefore, Either [4] or (If [5], then [6].)..
[SC1-4]
Constructive Dilemma:
Either [12] or [13].
If [12], then (If [7], then [8].).
If [13], then [9].
Therefore, Either (If [7], then [8].) or [9]..
[SC3-4]
Modus Ponens:
If [14], then (If [9], then (If [5], then [6].).).
[14]
Therefore, If [9], then (If [5], then [6].)..
[SC2-3]
Modus Tonens:
If (Not (If [4], then (If (Not [1].), then (If [2], then [3].).).).), then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, If [4], then (If (Not [1].), then (If [2], then [3].).)..
|
{0: 'Most woodwind instruments produce sound.', 1: 'Reptiles are tetrapod vertebrates that produce amniotic eggs.', 2: 'Almond butter is a creamy, subtly sweet nut butter.', 3: 'Obesity reduces life expectancy because it increases the risk of other health disorders.', 4: 'Most alligators have years.', 5: 'Hummingbirds return to nests.', 6: 'Some smoke causes respiratory diseases.', 7: 'Recognition is appointments.', 8: 'Phase proteins play various roles.', 9: 'Critters live in communal dens.', 10: 'Seahorses are the only animals in which the male actually becomes pregnant.', 11: 'Microbiologists regularly use complex mathematical equations and formulas in their work.', 12: 'Most metal has properties.', 13: 'Diabetics are normal people.', 14: 'Eyes are part of heads.'}
| 7 |
6,955 |
['Once we know the statement that states if the claim that cubs are born with eyes and ears closed does not reflect reality, then snow does fall sometimes in North Florida is false, we also know that potassium chlorate is a key ingredient in many pyrotechnics, and is a potent oxidizing agent.', 'If potassium chlorate is a key ingredient in many pyrotechnics, and is a potent oxidizing agent, then minders have (part) necks.', 'It is not the case that minders have (part) necks.', 'It is a fact that either agriculture is also a primary source of groundwater pollution or if hornworts usually grow on damp soils or on rocks in tropical and warm temperate regions, then phosphorus isa element.', 'Once we know agriculture is also a primary source of groundwater pollution, we also know that either either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day or parents also communicate through verbalization, facial expressions, and body movements.', 'If if hornworts usually grow on damp soils or on rocks in tropical and warm temperate regions, then phosphorus isa element, then either either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day or parents also communicate through verbalization, facial expressions, and body movements.', 'Assuming those that suggest if either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality are wrong, we know that shock absorbers are a very important safety feature in a car.', 'Given that those that suggest if either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality are wrong, it can be inferred that some people mistakenly believe that shock absorbers are a very important safety feature in a car.', "So long as young infants have a reflex known as the gastro-colic reflex, 'if parents also communicate through verbalization, facial expressions, and body movements, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality' is true.", 'young infants have a reflex known as the gastro-colic reflex.']
|
Once we know the statement that states if the claim that cubs are born with eyes and ears closed does not reflect reality, then snow does fall sometimes in North Florida is false, we also know that potassium chlorate is a key ingredient in many pyrotechnics, and is a potent oxidizing agent. If potassium chlorate is a key ingredient in many pyrotechnics, and is a potent oxidizing agent, then minders have (part) necks. It is not the case that minders have (part) necks. It is a fact that either agriculture is also a primary source of groundwater pollution or if hornworts usually grow on damp soils or on rocks in tropical and warm temperate regions, then phosphorus isa element. Once we know agriculture is also a primary source of groundwater pollution, we also know that either either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day or parents also communicate through verbalization, facial expressions, and body movements. If if hornworts usually grow on damp soils or on rocks in tropical and warm temperate regions, then phosphorus isa element, then either either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day or parents also communicate through verbalization, facial expressions, and body movements. Assuming those that suggest if either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality are wrong, we know that shock absorbers are a very important safety feature in a car. Given that those that suggest if either salsa is one of the most sensual, fun, and exciting forms of partner dance today or middays are time of day, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality are wrong, it can be inferred that some people mistakenly believe that shock absorbers are a very important safety feature in a car. So long as young infants have a reflex known as the gastro-colic reflex, 'if parents also communicate through verbalization, facial expressions, and body movements, then if the claim that cubs are born with eyes and ears closed does not reflect reality, then the claim that snow does fall sometimes in North Florida does not correspond with reality' is true. young infants have a reflex known as the gastro-colic reflex.
|
It is reasonable to believe that cubs are born with eyes and ears closed.
|
Some people mistakenly believe that cubs are born with eyes and ears closed.
|
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 [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If [2], then [11].
Not [11].
Therefore, Not [2]..
[SC2-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5]. [SC1-2]
If (Either [3] or [4].), then (If (Not [0].), then (Not [1].).). [SC2-2]
If [5], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Either (Either [3] or [4].) or [5].).
If (If [8], then [9].), then (Either (Either [3] or [4].) or [5].).
Therefore, Either (Either [3] or [4].) or [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then (If (Not [0].), then (Not [1].).).).), then [6].
If (Not (If (Either [3] or [4].), then (If (Not [0].), then (Not [1].).).).), then (Not [6].).
Therefore, If (Either [3] or [4].), then (If (Not [0].), then (Not [1].).)..
[SC3-2]
Modus Ponens:
If [10], then (If [5], then (If (Not [0].), then (Not [1].).).).
[10]
Therefore, If [5], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Cubs are born with eyes and ears closed.', 1: 'Snow does fall sometimes in North Florida.', 2: 'Potassium chlorate is a key ingredient in many pyrotechnics, and is a potent oxidizing agent.', 3: 'Salsa is one of the most sensual, fun, and exciting forms of partner dance today.', 4: 'Middays are time of day.', 5: 'Parents also communicate through verbalization, facial expressions, and body movements.', 6: 'Shock absorbers are a very important safety feature in a car.', 7: 'Agriculture is also a primary source of groundwater pollution.', 8: 'Hornworts usually grow on damp soils or on rocks in tropical and warm temperate regions.', 9: 'Phosphorus isa element.', 10: 'Young infants have a reflex known as the gastro-colic reflex.', 11: 'Minders have (part) necks.'}
| 7 |
6,160 |
['Provided that we know that the claim that vomiting often follows the coughing spasm is false, we know that we know that the claim that system architecture refers to the structure used to organize computing responsibilities is false.', 'On the condition that market Makers are people who buy gold in order to sell it for a profit, it is definitely the case that if we know that the claim that vomiting often follows the coughing spasm is false, then system architecture refers to the structure used to organize computing responsibilities.', 'Should it be the case that stomach discomfort is one of the most common side effects of drinking dandelion in the form of tea, it follows that bifurcation phenomena in fluid systems.', 'We know that at least one of two things is true: assembly language is an example of a low-level language, or if bifurcation phenomena in fluid systems, then if we know that the claim that vomiting often follows the coughing spasm is false, then system architecture refers to the structure used to organize computing responsibilities.', "The statement 'assembly language is an example of a low-level language' can be considered false.", 'Should it be the case that detectors measure the energies of the combined gamma rays, which are unique for each element, it follows that either stomach discomfort is one of the most common side effects of drinking dandelion in the form of tea or if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases.', 'Those that suggest detectors measure the energies of the combined gamma rays, which are unique for each element are right.', "Should it be the case that the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, it follows that the claim that distance is time intervals is false.", "Provided that the statement that 'if the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, then distance is time intervals' is incorrect, we know that grasses are their food.", "On the condition that the statement that 'if the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, then distance is time intervals' is incorrect, it is definitely the case that the statement that 'grasses are their food' is incorrect."]
|
Provided that we know that the claim that vomiting often follows the coughing spasm is false, we know that we know that the claim that system architecture refers to the structure used to organize computing responsibilities is false. On the condition that market Makers are people who buy gold in order to sell it for a profit, it is definitely the case that if we know that the claim that vomiting often follows the coughing spasm is false, then system architecture refers to the structure used to organize computing responsibilities. Should it be the case that stomach discomfort is one of the most common side effects of drinking dandelion in the form of tea, it follows that bifurcation phenomena in fluid systems. We know that at least one of two things is true: assembly language is an example of a low-level language, or if bifurcation phenomena in fluid systems, then if we know that the claim that vomiting often follows the coughing spasm is false, then system architecture refers to the structure used to organize computing responsibilities. The statement 'assembly language is an example of a low-level language' can be considered false. Should it be the case that detectors measure the energies of the combined gamma rays, which are unique for each element, it follows that either stomach discomfort is one of the most common side effects of drinking dandelion in the form of tea or if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases. Those that suggest detectors measure the energies of the combined gamma rays, which are unique for each element are right. Should it be the case that the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, it follows that the claim that distance is time intervals is false. Provided that the statement that 'if the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, then distance is time intervals' is incorrect, we know that grasses are their food. On the condition that the statement that 'if the statement that 'if if radiation tends to dislodge electrons from atoms in a process called ionization, then plants form bases, then market Makers are people who buy gold in order to sell it for a profit' is incorrect, then distance is time intervals' is incorrect, it is definitely the case that the statement that 'grasses are their food' is incorrect.
|
The idea that vomiting often follows the coughing spasm is true.
|
Vomiting occurs infrequently.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Constructive Dilemma:
Either [4] or (If [5], then [6].). [SC1-3]
If [4], then [2].
If (If [5], then [6].), then [3]. [SC3-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If [8], then (Either [4] or (If [5], then [6].).).
[8]
Therefore, Either [4] or (If [5], then [6].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then [3].).), then [9]. [SC1-4]
If (Not (If (If [5], then [6].), then [3].).), then (Not [9].).
Therefore, If (If [5], then [6].), then [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [5], then [6].), then [3].).), then [9].).), then [10].
If (Not (If (Not (If (If [5], then [6].), then [3].).), then [9].).), then (Not [10].).
Therefore, If (Not (If (If [5], then [6].), then [3].).), then [9]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [2], then (If (Not [0].), then [1].).).
Not [7].
Therefore, If [2], then (If (Not [0].), then [1].)..
|
{0: 'Vomiting often follows the coughing spasm.', 1: 'System architecture refers to the structure used to organize computing responsibilities.', 2: 'Bifurcation phenomena in fluid systems.', 3: 'Market Makers are people who buy gold in order to sell it for a profit.', 4: 'Stomach discomfort is one of the most common side effects of drinking dandelion in the form of tea.', 5: 'Radiation tends to dislodge electrons from atoms in a process called ionization.', 6: 'Plants form bases.', 7: 'Assembly language is an example of a low-level language.', 8: 'Detectors measure the energies of the combined gamma rays, which are unique for each element.', 9: 'Distance is time intervals.', 10: 'Grasses are their food.'}
| 7 |
6,977 |
["Assuming the notion that 'if bent grass is grass, then solariums can also cause skin cancer' is untrue, we know that supplier isa individual.", 'It is a common misconception that either rectal prolapse can block the anal opening causing constipation or evolutionists theorize that homosexuality serves adaptation in terms of altruism and kin selection.', "So long as the notion that 'if bent grass is grass, then solariums can also cause skin cancer' is untrue, 'if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear' is true.", "Whenever it is true that the claim that if it is not true that bent grass is grass, then either rectal prolapse can block the anal opening causing constipation or evolutionists theorize that homosexuality serves adaptation in terms of altruism and kin selection is false, 'a ghillie is a shoe' is true.", 'Either hair color happens because of a kind of pigment called melanin or nursing assistants work in hospitals, nursing homes, and home health agencies.', 'If hair color happens because of a kind of pigment called melanin, then if if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear, then it is not the case that supplier isa individual.', 'Given that nursing assistants work in hospitals, nursing homes, and home health agencies, it can be inferred that if if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear, then it is not the case that supplier isa individual.', 'We know that at least one of two things is true: mothers carry infants constantly their first three weeks, or emblem isa ornament.', 'Assuming mothers carry infants constantly their first three weeks, we know that the claim that a ghillie is a shoe is false.', 'On the condition that emblem isa ornament, it is definitely the case that the claim that a ghillie is a shoe is false.']
|
Assuming the notion that 'if bent grass is grass, then solariums can also cause skin cancer' is untrue, we know that supplier isa individual. It is a common misconception that either rectal prolapse can block the anal opening causing constipation or evolutionists theorize that homosexuality serves adaptation in terms of altruism and kin selection. So long as the notion that 'if bent grass is grass, then solariums can also cause skin cancer' is untrue, 'if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear' is true. Whenever it is true that the claim that if it is not true that bent grass is grass, then either rectal prolapse can block the anal opening causing constipation or evolutionists theorize that homosexuality serves adaptation in terms of altruism and kin selection is false, 'a ghillie is a shoe' is true. Either hair color happens because of a kind of pigment called melanin or nursing assistants work in hospitals, nursing homes, and home health agencies. If hair color happens because of a kind of pigment called melanin, then if if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear, then it is not the case that supplier isa individual. Given that nursing assistants work in hospitals, nursing homes, and home health agencies, it can be inferred that if if puppies have (part) sterna, then asymptotic curves contain phases that are increasing and nearly linear, then it is not the case that supplier isa individual. We know that at least one of two things is true: mothers carry infants constantly their first three weeks, or emblem isa ornament. Assuming mothers carry infants constantly their first three weeks, we know that the claim that a ghillie is a shoe is false. On the condition that emblem isa ornament, it is definitely the case that the claim that a ghillie is a shoe is false.
|
We can assume that solariums can also cause skin cancer.
|
The statement that 'solariums can also cause skin cancer' is incorrect.
|
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 [4].
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then (If [5], then [6].).
If (If [5], then [6].), then (Not [4].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (If [5], then [6].), then (Not [4].).).
If [11], then (If (If [5], then [6].), then (Not [4].).).
Therefore, If (If [5], then [6].), then (Not [4].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If (Not [1].), then (Either [2] or [3].).).), then [7].
Not [7]. [SC2-3]
Therefore, If (Not [1].), then (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Solariums can also cause skin cancer.', 1: 'Bent grass is grass.', 2: 'Rectal prolapse can block the anal opening causing constipation .', 3: 'Evolutionists theorize that homosexuality serves adaptation in terms of altruism and kin selection.', 4: 'Supplier isa individual.', 5: 'Puppies have (part) sterna.', 6: 'Asymptotic curves contain phases that are increasing and nearly linear.', 7: 'A ghillie is a shoe.', 8: 'Mothers carry infants constantly their first three weeks.', 9: 'Emblem isa ornament.', 10: 'Hair color happens because of a kind of pigment called melanin.', 11: 'Nursing assistants work in hospitals, nursing homes, and home health agencies.'}
| 7 |
6,973 |
["So long as dizziness is a common complaint among older persons, especially, 'water runs off the surface before it has an opportunity to soak into the soil' is true.", 'On the condition that it is not the case that dizziness is a common complaint among older persons, especially, it is definitely the case that vitamin E helps to restore menstrual regularity.', 'On the condition that it is not true that if it is not the case that dizziness is a common complaint among older persons, especially, then the claim that vitamin E helps to restore menstrual regularity does not correspond with reality, it is definitely the case that lessons help students.', 'When the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality is true, it follows that the claim that some fingertips are part of hands does not reflect reality.', "Whenever it is true that deer grow hair, 'the claim that string is serieses is false' is true.", 'deer grow hair.', 'It is a fact that either if ferrets live individually, then salt is suitable for vegetarian and other special diets as well or a rock concert is a concert.', 'Assuming if ferrets live individually, then salt is suitable for vegetarian and other special diets as well, we know that if the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality, then some fingertips are part of hands.', 'Given that a rock concert is a concert, it can be inferred that if the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality, then some fingertips are part of hands.']
|
So long as dizziness is a common complaint among older persons, especially, 'water runs off the surface before it has an opportunity to soak into the soil' is true. On the condition that it is not the case that dizziness is a common complaint among older persons, especially, it is definitely the case that vitamin E helps to restore menstrual regularity. On the condition that it is not true that if it is not the case that dizziness is a common complaint among older persons, especially, then the claim that vitamin E helps to restore menstrual regularity does not correspond with reality, it is definitely the case that lessons help students. When the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality is true, it follows that the claim that some fingertips are part of hands does not reflect reality. Whenever it is true that deer grow hair, 'the claim that string is serieses is false' is true. deer grow hair. It is a fact that either if ferrets live individually, then salt is suitable for vegetarian and other special diets as well or a rock concert is a concert. Assuming if ferrets live individually, then salt is suitable for vegetarian and other special diets as well, we know that if the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality, then some fingertips are part of hands. Given that a rock concert is a concert, it can be inferred that if the claim that either string is serieses or some people mistakenly believe that lessons help students does not reflect reality, then some fingertips are part of hands.
|
Those that suggest water runs off the surface before it has an opportunity to soak into the soil are right.
|
Those that suggest water runs off the surface before it has an opportunity to soak into the soil are right.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Modus Tonens:
If (Not (If (Not [1].), then (Not [2].).).), then [3].
Not [3]. [SC2-3]
Therefore, If (Not [1].), then (Not [2].)..
[SC2-3]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-4]
Not [4]. [SC2-4]
Therefore, Not [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [4] or (Not [3].).).), then [6]. [SC1-5]
If (Not (Either [4] or (Not [3].).).), then (Not [6].).
Therefore, Either [4] or (Not [3].)..
[SC1-5]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If (Not (Either [4] or (Not [3].).).), then [6].).
If [9], then (If (Not (Either [4] or (Not [3].).).), then [6].).
Therefore, If (Not (Either [4] or (Not [3].).).), then [6]..
[SC2-4]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
|
{0: 'Water runs off the surface before it has an opportunity to soak into the soil.', 1: 'Dizziness is a common complaint among older persons, especially.', 2: 'Vitamin E helps to restore menstrual regularity.', 3: 'Lessons help students.', 4: 'String is serieses.', 5: 'Deer grow hair.', 6: 'Some fingertips are part of hands.', 7: 'Ferrets live individually.', 8: 'Salt is suitable for vegetarian and other special diets as well.', 9: 'A rock concert is a concert.'}
| 7 |
6,715 |
['When eggs laid by snakes generally have leathery shells which often adhere to one another is true, it follows that either language is an example of cortical localisation or watery vapor floats in air.', 'Provided that if deregulation is when an industry is mandated by law to open itself up to competition, then mold spores survive harsh environmental conditions, we know that it is not true that orchids are native to every continent, though most occur in the tropics.', 'We know that at least one of two things is true: phases take places, or the statement, either language is an example of cortical localisation or watery vapor floats in air, does not hold.', 'Should it be the case that the claim that either eggs laid by snakes generally have leathery shells which often adhere to one another or if deregulation is when an industry is mandated by law to open itself up to competition, then mold spores survive harsh environmental conditions is false, it follows that founders have (part) corpi.', "The statement that 'pheochromocytomas are rare endocrine tumors' is incorrect.", 'We know that at least one of two things is true: zoysia adapts to the limestone type soil pretty well, or if hyperopia is farsightedness, the opposite of myopia, then some children are much more prone to fearful behaviors from birth than other children.', 'Given that zoysia adapts to the limestone type soil pretty well, it can be inferred that the claim that founders have (part) corpi does not correspond with reality.', 'Assuming if hyperopia is farsightedness, the opposite of myopia, then some children are much more prone to fearful behaviors from birth than other children, we know that the claim that founders have (part) corpi does not correspond with reality.', "So long as painting refers to working with enamels on glass, 'if phases take places, then pheochromocytomas are rare endocrine tumors' is true.", 'Those that suggest painting refers to working with enamels on glass are right.']
|
When eggs laid by snakes generally have leathery shells which often adhere to one another is true, it follows that either language is an example of cortical localisation or watery vapor floats in air. Provided that if deregulation is when an industry is mandated by law to open itself up to competition, then mold spores survive harsh environmental conditions, we know that it is not true that orchids are native to every continent, though most occur in the tropics. We know that at least one of two things is true: phases take places, or the statement, either language is an example of cortical localisation or watery vapor floats in air, does not hold. Should it be the case that the claim that either eggs laid by snakes generally have leathery shells which often adhere to one another or if deregulation is when an industry is mandated by law to open itself up to competition, then mold spores survive harsh environmental conditions is false, it follows that founders have (part) corpi. The statement that 'pheochromocytomas are rare endocrine tumors' is incorrect. We know that at least one of two things is true: zoysia adapts to the limestone type soil pretty well, or if hyperopia is farsightedness, the opposite of myopia, then some children are much more prone to fearful behaviors from birth than other children. Given that zoysia adapts to the limestone type soil pretty well, it can be inferred that the claim that founders have (part) corpi does not correspond with reality. Assuming if hyperopia is farsightedness, the opposite of myopia, then some children are much more prone to fearful behaviors from birth than other children, we know that the claim that founders have (part) corpi does not correspond with reality. So long as painting refers to working with enamels on glass, 'if phases take places, then pheochromocytomas are rare endocrine tumors' is true. Those that suggest painting refers to working with enamels on glass are right.
|
It is not true that orchids are native to every continent, though most occur in the tropics.
|
The statement that states orchids are native to every continent, though most occur in the tropics is right.
|
FALSE
|
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 (If [4], then [5].). [SC1-2]
If [3], then (Either [1] or [2].).
If (If [4], then [5].), then (Not [0].).
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If [4], then [5].).).), then [8].
Not [8]. [SC2-3]
Therefore, Either [3] or (If [4], then [5].)..
[SC2-3]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (Not [8].).
If (If [11], then [12].), then (Not [8].).
Therefore, Not [8]..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (Not (Either [1] or [2].).).
Not [6]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Modus Tonens:
If [6], then [7]. [SC1-3]
Not [7].
Therefore, Not [6]..
[SC1-3]
Modus Ponens:
If [9], then (If [6], then [7].).
[9]
Therefore, If [6], then [7]..
|
{0: 'Orchids are native to every continent, though most occur in the tropics.', 1: 'Language is an example of cortical localisation.', 2: 'Watery vapor floats in air.', 3: 'Eggs laid by snakes generally have leathery shells which often adhere to one another.', 4: 'Deregulation is when an industry is mandated by law to open itself up to competition.', 5: 'Mold spores survive harsh environmental conditions.', 6: 'Phases take places.', 7: 'Pheochromocytomas are rare endocrine tumors.', 8: 'Founders have (part) corpi.', 9: 'Painting refers to working with enamels on glass.', 10: 'Zoysia adapts to the limestone type soil pretty well.', 11: 'Hyperopia is farsightedness, the opposite of myopia.', 12: 'Some children are much more prone to fearful behaviors from birth than other children.'}
| 7 |
6,744 |
["Whenever it is true that sparrows eat grasshoppers, 'if it is not true that tigers are the biggest cats in the world, then chronic inhalation causes peripheral neurophathy' is true.", "Whenever it is true that if sporangiophores come out of stomata on under surface of leaf in humiod weather, then wooden containers are absorbent and good insulators, 'the claim that chronic inhalation causes peripheral neurophathy is false' is true.", "So long as muscular endurance is important for good posture and for injury prevention, 'the claim that chronic inhalation causes peripheral neurophathy is false' is true.", 'One may reasonably assume that if water is the universal growth regulator, then sparrows eat grasshoppers.', 'It is rational to agree that water is the universal growth regulator.', 'The claim that rabble isa crowd holds true.', 'When the statement that states if rabble isa crowd, then either if sporangiophores come out of stomata on under surface of leaf in humiod weather, then wooden containers are absorbent and good insulators or muscular endurance is important for good posture and for injury prevention is false is true, it follows that aquatic plants associated with the fascioliasis infection are watercress and water caltrop.', 'When aquatic plants associated with the fascioliasis infection are watercress and water caltrop is true, it follows that friction is the resistance that one surface offers to movement over a second surface.', "Whenever it is true that aquatic plants associated with the fascioliasis infection are watercress and water caltrop, 'the statement, friction is the resistance that one surface offers to movement over a second surface, does not hold' is true."]
|
Whenever it is true that sparrows eat grasshoppers, 'if it is not true that tigers are the biggest cats in the world, then chronic inhalation causes peripheral neurophathy' is true. Whenever it is true that if sporangiophores come out of stomata on under surface of leaf in humiod weather, then wooden containers are absorbent and good insulators, 'the claim that chronic inhalation causes peripheral neurophathy is false' is true. So long as muscular endurance is important for good posture and for injury prevention, 'the claim that chronic inhalation causes peripheral neurophathy is false' is true. One may reasonably assume that if water is the universal growth regulator, then sparrows eat grasshoppers. It is rational to agree that water is the universal growth regulator. The claim that rabble isa crowd holds true. When the statement that states if rabble isa crowd, then either if sporangiophores come out of stomata on under surface of leaf in humiod weather, then wooden containers are absorbent and good insulators or muscular endurance is important for good posture and for injury prevention is false is true, it follows that aquatic plants associated with the fascioliasis infection are watercress and water caltrop. When aquatic plants associated with the fascioliasis infection are watercress and water caltrop is true, it follows that friction is the resistance that one surface offers to movement over a second surface. Whenever it is true that aquatic plants associated with the fascioliasis infection are watercress and water caltrop, 'the statement, friction is the resistance that one surface offers to movement over a second surface, does not hold' is true.
|
The statement that states tigers are the biggest cats in the world is right.
|
The statement that states tigers are the biggest cats in the world is right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If [7], then [2].
[7]
Therefore, [2].
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (Not [1].).
If [5], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [6], then (Either (If [3], then [4].) or [5].). [SC1-3]
[6]
Therefore, Either (If [3], then [4].) or [5]..
[SC1-3]
Modus Tonens:
If (Not (If [6], then (Either (If [3], then [4].) or [5].).).), then [8].
Not [8]. [SC2-4]
Therefore, If [6], then (Either (If [3], then [4].) or [5].)..
[SC2-4]
Reductio Ad Absurdum:
If [8], then [9].
If [8], then (Not [9].).
Therefore, Not [8]..
|
{0: 'Tigers are the biggest cats in the world.', 1: 'Chronic inhalation causes peripheral neurophathy.', 2: 'Sparrows eat grasshoppers.', 3: 'Sporangiophores come out of stomata on under surface of leaf in humiod weather.', 4: 'Wooden containers are absorbent and good insulators.', 5: 'Muscular endurance is important for good posture and for injury prevention.', 6: 'Rabble isa crowd.', 7: 'Water is the universal growth regulator.', 8: 'Aquatic plants associated with the fascioliasis infection are watercress and water caltrop.', 9: 'Friction is the resistance that one surface offers to movement over a second surface.'}
| 7 |
6,195 |
['It is not the case that anatomies require cooperation.', "Either one or both of these statements are true: smoking affects a person's health in many ways, having both immediate and long term effects, or if parthenogenetic offspring are produced in early spring, when workers raise the brood into sexuals, then anatomies require cooperation.", 'It is a fact that either insects have abdomens or intensive management is a treatment regimen that aims to keep blood glucose levels close to normal.', 'It is a simple truth that american elm is a strong wood.', "We know that at least one of two things is true: if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink, or if intensive management is a treatment regimen that aims to keep blood glucose levels close to normal, then some people mistakenly believe that smoking affects a person's health in many ways, having both immediate and long term effects.", "At least one of two things is true: contrast sensitivity is the measure of visual acuity, or if american elm is a strong wood, then if insects have abdomens, then some people mistakenly believe that smoking affects a person's health in many ways, having both immediate and long term effects.", 'Some people mistakenly believe that contrast sensitivity is the measure of visual acuity.', 'We know that either normal hydrogen is diatomic or most countries enjoy long hours of sunshine with accompanied radiation that can be exploited.', 'Given that normal hydrogen is diatomic, it can be inferred that it is a common misconception that if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink.', "Whenever it is true that most countries enjoy long hours of sunshine with accompanied radiation that can be exploited, 'it is a common misconception that if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink' is true."]
|
It is not the case that anatomies require cooperation. Either one or both of these statements are true: smoking affects a person's health in many ways, having both immediate and long term effects, or if parthenogenetic offspring are produced in early spring, when workers raise the brood into sexuals, then anatomies require cooperation. It is a fact that either insects have abdomens or intensive management is a treatment regimen that aims to keep blood glucose levels close to normal. It is a simple truth that american elm is a strong wood. We know that at least one of two things is true: if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink, or if intensive management is a treatment regimen that aims to keep blood glucose levels close to normal, then some people mistakenly believe that smoking affects a person's health in many ways, having both immediate and long term effects. At least one of two things is true: contrast sensitivity is the measure of visual acuity, or if american elm is a strong wood, then if insects have abdomens, then some people mistakenly believe that smoking affects a person's health in many ways, having both immediate and long term effects. Some people mistakenly believe that contrast sensitivity is the measure of visual acuity. We know that either normal hydrogen is diatomic or most countries enjoy long hours of sunshine with accompanied radiation that can be exploited. Given that normal hydrogen is diatomic, it can be inferred that it is a common misconception that if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink. Whenever it is true that most countries enjoy long hours of sunshine with accompanied radiation that can be exploited, 'it is a common misconception that if life becomes memory, then duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink' is true.
|
It is not the case that parthenogenetic offspring are produced in early spring, when workers raise the brood into sexuals.
|
It is not the case that phoenix simplifies the process of creating and maintaining binary data files.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].). [SC2-3]
If [4], then (Not [2].). [SC3-3]
Therefore, Not [2]..
[SC2-3]
Modus Ponens:
If [5], then (If [3], then (Not [2].).). [SC1-4]
[5]
Therefore, If [3], then (Not [2].)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [5], then (If [3], then (Not [2].).).).
Not [8].
Therefore, If [5], then (If [3], then (Not [2].).)..
[SC3-3]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If [4], then (Not [2].).).
Not (If [6], then [7].). [SC2-4]
Therefore, If [4], then (Not [2].)..
[SC2-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not (If [6], then [7].).).
If [10], then (Not (If [6], then [7].).).
Therefore, Not (If [6], then [7].)..
|
{0: 'Parthenogenetic offspring are produced in early spring, when workers raise the brood into sexuals.', 1: 'Anatomies require cooperation.', 2: "Smoking affects a person's health in many ways, having both immediate and long term effects.", 3: 'Insects have abdomens.', 4: 'Intensive management is a treatment regimen that aims to keep blood glucose levels close to normal.', 5: 'American elm is a strong wood.', 6: 'Life becomes memory.', 7: 'Duck ponds give habitats for water fowl and other birds who use the water to bathe in and drink.', 8: 'Contrast sensitivity is the measure of visual acuity.', 9: 'Normal hydrogen is diatomic.', 10: 'Most countries enjoy long hours of sunshine with accompanied radiation that can be exploited.'}
| 7 |
6,191 |
['Assuming most black swans reach maturity, we know that the statement that states if many cultures put high value on peace, right action, and sharing, then a burial vault is a chamber is false.', "On the condition that the statement 'either most black swans reach maturity or either despair is the death of the soul because it denies the possibility of transformation or lenses are special pieces of glass or plastic that are curved on one or both sizes' can be considered false, it is definitely the case that stainless steel is preferred in food handling or hospital applications.", 'Given that homosexuals is queer sex boys say with dicks in the ass chest pecs and abs pictures, it can be inferred that if either despair is the death of the soul because it denies the possibility of transformation or lenses are special pieces of glass or plastic that are curved on one or both sizes, then the statement that states if many cultures put high value on peace, right action, and sharing, then a burial vault is a chamber is false.', 'It is true that homosexuals is queer sex boys say with dicks in the ass chest pecs and abs pictures.', 'We know that either if some employers forbid smoking anywhere in the office, then doctors sometimes pump liquid into the ankle joint to further decrease blood flow to the ankle or the statement that states stainless steel is preferred in food handling or hospital applications is false.', 'When we know that the claim that if if some employers forbid smoking anywhere in the office, then doctors sometimes pump liquid into the ankle joint to further decrease blood flow to the ankle, then fiscal policy is economic policy is false is true, it follows that cells are the structural and functional units of life, all cells come from other cells.', 'The statement that states cells are the structural and functional units of life, all cells come from other cells is false.', 'On the condition that higher clouds indicate both dryness of air and higher atmospheric pressure, it is definitely the case that it is a common misconception that fiscal policy is economic policy.', 'It is fair to say that higher clouds indicate both dryness of air and higher atmospheric pressure.']
|
Assuming most black swans reach maturity, we know that the statement that states if many cultures put high value on peace, right action, and sharing, then a burial vault is a chamber is false. On the condition that the statement 'either most black swans reach maturity or either despair is the death of the soul because it denies the possibility of transformation or lenses are special pieces of glass or plastic that are curved on one or both sizes' can be considered false, it is definitely the case that stainless steel is preferred in food handling or hospital applications. Given that homosexuals is queer sex boys say with dicks in the ass chest pecs and abs pictures, it can be inferred that if either despair is the death of the soul because it denies the possibility of transformation or lenses are special pieces of glass or plastic that are curved on one or both sizes, then the statement that states if many cultures put high value on peace, right action, and sharing, then a burial vault is a chamber is false. It is true that homosexuals is queer sex boys say with dicks in the ass chest pecs and abs pictures. We know that either if some employers forbid smoking anywhere in the office, then doctors sometimes pump liquid into the ankle joint to further decrease blood flow to the ankle or the statement that states stainless steel is preferred in food handling or hospital applications is false. When we know that the claim that if if some employers forbid smoking anywhere in the office, then doctors sometimes pump liquid into the ankle joint to further decrease blood flow to the ankle, then fiscal policy is economic policy is false is true, it follows that cells are the structural and functional units of life, all cells come from other cells. The statement that states cells are the structural and functional units of life, all cells come from other cells is false. On the condition that higher clouds indicate both dryness of air and higher atmospheric pressure, it is definitely the case that it is a common misconception that fiscal policy is economic policy. It is fair to say that higher clouds indicate both dryness of air and higher atmospheric pressure.
|
The statement that states if many cultures put high value on peace, right action, and sharing, then a burial vault is a chamber is false.
|
On the condition that many cultures put high value on peace, right action, and sharing, it is definitely the case that a burial vault is a chamber.
|
FALSE
|
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-1]
If [2], then (Not (If [0], then [1].).).
If (Either [3] or [4].), then (Not (If [0], then [1].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (Either [3] or [4].).).), then [6].
Not [6]. [SC2-2]
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not [6].).
Not (If [7], then [8].). [SC2-3]
Therefore, Not [6]..
[SC2-3]
Modus Tonens:
If (If [7], then [8].), then [9]. [SC1-4]
Not [9]. [SC2-4]
Therefore, Not (If [7], then [8].)..
[SC1-4]
Modus Tonens:
If (Not (If (If [7], then [8].), then [9].).), then [11].
Not [11].
Therefore, If (If [7], then [8].), then [9]..
[SC2-4]
Modus Ponens:
If [10], then (Not [9].).
[10]
Therefore, Not [9]..
[SC3-1]
Modus Ponens:
If [5], then (If (Either [3] or [4].), then (Not (If [0], then [1].).).).
[5]
Therefore, If (Either [3] or [4].), then (Not (If [0], then [1].).)..
|
{0: 'Many cultures put high value on peace, right action, and sharing.', 1: 'A burial vault is a chamber.', 2: 'Most black swans reach maturity.', 3: 'Despair is the death of the soul because it denies the possibility of transformation.', 4: 'Lenses are special pieces of glass or plastic that are curved on one or both sizes.', 5: 'Homosexuals is queer sex boys say with dicks in the ass chest pecs and abs pictures.', 6: 'Stainless steel is preferred in food handling or hospital applications.', 7: 'Some employers forbid smoking anywhere in the office.', 8: 'Doctors sometimes pump liquid into the ankle joint to further decrease blood flow to the ankle.', 9: 'Fiscal policy is economic policy.', 10: 'Higher clouds indicate both dryness of air and higher atmospheric pressure.', 11: 'Cells are the structural and functional units of life, all cells come from other cells.'}
| 7 |
6,628 |
["So long as aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, 'insulation values are for summer conditions, heat flow down' is true.", 'On the condition that the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, it is definitely the case that either paternity is a creation or cones are reactive to the three colors of red , blue , and green .', 'Once we know it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, we also know that it is not the case that either radio waves can induce signals on wires or most earthworms consume nutrients.', 'We know that at least one of two things is true: elephants are amazing animals, or some ladybirds feed on red spider mites.', 'Should it be the case that plants develop grow conditions, it follows that climate change is the latest emerging threat to biodiversity in Africa.', 'If climate change is the latest emerging threat to biodiversity in Africa, then either radio waves can induce signals on wires or most earthworms consume nutrients.', 'Assuming the claim that if either elephants are amazing animals or some ladybirds feed on red spider mites, then if it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, then plants develop grow conditions does not reflect reality, we know that some compounds cause acute diseases.', 'When the claim that if either elephants are amazing animals or some ladybirds feed on red spider mites, then if it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, then plants develop grow conditions does not reflect reality is true, it follows that the statement that states some compounds cause acute diseases is false.']
|
So long as aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, 'insulation values are for summer conditions, heat flow down' is true. On the condition that the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, it is definitely the case that either paternity is a creation or cones are reactive to the three colors of red , blue , and green . Once we know it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, we also know that it is not the case that either radio waves can induce signals on wires or most earthworms consume nutrients. We know that at least one of two things is true: elephants are amazing animals, or some ladybirds feed on red spider mites. Should it be the case that plants develop grow conditions, it follows that climate change is the latest emerging threat to biodiversity in Africa. If climate change is the latest emerging threat to biodiversity in Africa, then either radio waves can induce signals on wires or most earthworms consume nutrients. Assuming the claim that if either elephants are amazing animals or some ladybirds feed on red spider mites, then if it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, then plants develop grow conditions does not reflect reality, we know that some compounds cause acute diseases. When the claim that if either elephants are amazing animals or some ladybirds feed on red spider mites, then if it is a common misconception that if the claim that if if aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens, then insulation values are for summer conditions, heat flow down, then water is another basic ingredient for attracting birds does not correspond with reality, then the statement, either paternity is a creation or cones are reactive to the three colors of red , blue , and green , does not hold, then plants develop grow conditions does not reflect reality is true, it follows that the statement that states some compounds cause acute diseases is false.
|
It is true that water is another basic ingredient for attracting birds.
|
The statement that 'water is another basic ingredient for attracting birds' is incorrect.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then (Either [3] or [4].).
If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).). [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then (Either [5] or [6].). [SC1-3]
If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then (Not (Either [5] or [6].).).
Therefore, If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7]. [SC1-4]
If [7], then (Either [5] or [6].). [SC2-4]
Therefore, If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then (Either [5] or [6].)..
[SC1-4]
Modus Ponens:
If (Either [8] or [9].), then (If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7].). [SC1-5]
Either [8] or [9].
Therefore, If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If (Either [8] or [9].), then (If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7].).).), then [11].
If (Not (If (Either [8] or [9].), then (If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7].).).), then (Not [11].).
Therefore, If (Either [8] or [9].), then (If (Not (If (Not (If (If [1], then [2].), then [0].).), then (Not (Either [3] or [4].).).).), then [7].)..
[SC2-4]
Hypothetical Syllogism:
If [7], then [10].
If [10], then (Either [5] or [6].).
Therefore, If [7], then (Either [5] or [6].)..
|
{0: 'Water is another basic ingredient for attracting birds.', 1: 'Aoudad are found in arid mountainous areas where they graze and browse grasses, bushes and lichens.', 2: 'Insulation values are for summer conditions, heat flow down.', 3: 'Paternity is a creation.', 4: 'Cones are reactive to the three colors of red , blue , and green .', 5: 'Radio waves can induce signals on wires.', 6: 'Most earthworms consume nutrients.', 7: 'Plants develop grow conditions.', 8: 'Elephants are amazing animals.', 9: 'Some ladybirds feed on red spider mites.', 10: 'Climate change is the latest emerging threat to biodiversity in Africa.', 11: 'Some compounds cause acute diseases.'}
| 7 |
6,536 |
['On the condition that niCads contain cadmium, a metal that is toxic to humans when inhaled or ingested, it is definitely the case that the statement, justice is a value of force, a power often imposed on individuals from outside themselves, does not hold.', "We can assume that powder coating is used in children's toys and furniture sold every day.", 'There is good reason to believe that either if video based instruction is a natural format for technical computer training, then some weather phenomena occur during thunderstorms or most cannabis is cultivated intentionally and can be grown either indoors or out.', "So long as if video based instruction is a natural format for technical computer training, then some weather phenomena occur during thunderstorms, 'aftercare planning is considered an integral part of the recovery process for adolescents' is true.", 'Assuming most cannabis is cultivated intentionally and can be grown either indoors or out, we know that if niCads contain cadmium, a metal that is toxic to humans when inhaled or ingested, then if neurosurgical oncologists specialize in surgical treatment of brain, spinal cord, and nerve tumors, then masons are members of a traditional, respected construction trade.', 'At least one of two things is true: humans are fundamentally good, but evil spirits do exist, or the claim that aftercare planning is considered an integral part of the recovery process for adolescents has no merit.', 'The claim that humans are fundamentally good, but evil spirits do exist is false.', "Once we know hornets have a black thorax and abdomen marked with white or bright yellow markings, we also know that if powder coating is used in children's toys and furniture sold every day, then if if neurosurgical oncologists specialize in surgical treatment of brain, spinal cord, and nerve tumors, then masons are members of a traditional, respected construction trade, then justice is a value of force, a power often imposed on individuals from outside themselves.", 'The statement that states hornets have a black thorax and abdomen marked with white or bright yellow markings is right.']
|
On the condition that niCads contain cadmium, a metal that is toxic to humans when inhaled or ingested, it is definitely the case that the statement, justice is a value of force, a power often imposed on individuals from outside themselves, does not hold. We can assume that powder coating is used in children's toys and furniture sold every day. There is good reason to believe that either if video based instruction is a natural format for technical computer training, then some weather phenomena occur during thunderstorms or most cannabis is cultivated intentionally and can be grown either indoors or out. So long as if video based instruction is a natural format for technical computer training, then some weather phenomena occur during thunderstorms, 'aftercare planning is considered an integral part of the recovery process for adolescents' is true. Assuming most cannabis is cultivated intentionally and can be grown either indoors or out, we know that if niCads contain cadmium, a metal that is toxic to humans when inhaled or ingested, then if neurosurgical oncologists specialize in surgical treatment of brain, spinal cord, and nerve tumors, then masons are members of a traditional, respected construction trade. At least one of two things is true: humans are fundamentally good, but evil spirits do exist, or the claim that aftercare planning is considered an integral part of the recovery process for adolescents has no merit. The claim that humans are fundamentally good, but evil spirits do exist is false. Once we know hornets have a black thorax and abdomen marked with white or bright yellow markings, we also know that if powder coating is used in children's toys and furniture sold every day, then if if neurosurgical oncologists specialize in surgical treatment of brain, spinal cord, and nerve tumors, then masons are members of a traditional, respected construction trade, then justice is a value of force, a power often imposed on individuals from outside themselves. The statement that states hornets have a black thorax and abdomen marked with white or bright yellow markings is right.
|
The statement that 'niCads contain cadmium, a metal that is toxic to humans when inhaled or ingested' is incorrect.
|
Some people mistakenly believe that a nicad is an accumulator.
|
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 (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then [1]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [0], then (If [2], then [3].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [0], then (If [2], then [3].)..
[SC1-3]
Constructive Dilemma:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then [5].
If [9], then (If [0], then (If [2], then [3].).).
Therefore, Either [5] or (If [0], then (If [2], then [3].).)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
[SC2-2]
Modus Ponens:
If [4], then (If (If [2], then [3].), then [1].). [SC1-3]
[4]
Therefore, If (If [2], then [3].), then [1]..
[SC1-3]
Modus Ponens:
If [10], then (If [4], then (If (If [2], then [3].), then [1].).).
[10]
Therefore, If [4], then (If (If [2], then [3].), then [1].)..
|
{0: 'NiCads contain cadmium, a metal that is toxic to humans when inhaled or ingested.', 1: 'Justice is a value of force, a power often imposed on individuals from outside themselves.', 2: 'Neurosurgical oncologists specialize in surgical treatment of brain, spinal cord, and nerve tumors.', 3: 'Masons are members of a traditional, respected construction trade.', 4: "Powder coating is used in children's toys and furniture sold every day.", 5: 'Aftercare planning is considered an integral part of the recovery process for adolescents.', 6: 'Humans are fundamentally good, but evil spirits do exist.', 7: 'Video based instruction is a natural format for technical computer training.', 8: 'Some weather phenomena occur during thunderstorms.', 9: 'Most cannabis is cultivated intentionally and can be grown either indoors or out.', 10: 'Hornets have a black thorax and abdomen marked with white or bright yellow markings.'}
| 7 |
6,880 |
['Either individual atoms can combine with other atoms to form molecules or angels come on all sizes and shapes, all ages and skin types.', 'If mysticism is defined with examples given of what mystics say about their experience, then cinder cones build from erupting lava that breaks into small pieces as it blasts into the air.', 'Assuming stirrups are part of saddles, we know that if individual atoms can combine with other atoms to form molecules, then the claim that cinder cones build from erupting lava that breaks into small pieces as it blasts into the air does not correspond with reality.', "Should it be the case that the notion that 'if individual atoms can combine with other atoms to form molecules, then mysticism is defined with examples given of what mystics say about their experience' is untrue, it follows that it is not true that either some beech martens live in areas or some families keep pigs.", 'Either some physicians begin screening patients with a test to determine blood in the stool or ozone is energy intensive, since the ozone is produced on site.', 'One may reasonably assume that if some physicians begin screening patients with a test to determine blood in the stool, then stirrups are part of saddles.', 'Provided that ozone is energy intensive, since the ozone is produced on site, we know that stirrups are part of saddles.', "When the claim that if the notion that 'if individual atoms can combine with other atoms to form molecules, then mysticism is defined with examples given of what mystics say about their experience' is untrue, then either some beech martens live in areas or some families keep pigs has no merit is true, it follows that anti oxidants are part of the picture in involved with anti-aging.", 'It is not the case that anti oxidants are part of the picture in involved with anti-aging.']
|
Either individual atoms can combine with other atoms to form molecules or angels come on all sizes and shapes, all ages and skin types. If mysticism is defined with examples given of what mystics say about their experience, then cinder cones build from erupting lava that breaks into small pieces as it blasts into the air. Assuming stirrups are part of saddles, we know that if individual atoms can combine with other atoms to form molecules, then the claim that cinder cones build from erupting lava that breaks into small pieces as it blasts into the air does not correspond with reality. Should it be the case that the notion that 'if individual atoms can combine with other atoms to form molecules, then mysticism is defined with examples given of what mystics say about their experience' is untrue, it follows that it is not true that either some beech martens live in areas or some families keep pigs. Either some physicians begin screening patients with a test to determine blood in the stool or ozone is energy intensive, since the ozone is produced on site. One may reasonably assume that if some physicians begin screening patients with a test to determine blood in the stool, then stirrups are part of saddles. Provided that ozone is energy intensive, since the ozone is produced on site, we know that stirrups are part of saddles. When the claim that if the notion that 'if individual atoms can combine with other atoms to form molecules, then mysticism is defined with examples given of what mystics say about their experience' is untrue, then either some beech martens live in areas or some families keep pigs has no merit is true, it follows that anti oxidants are part of the picture in involved with anti-aging. It is not the case that anti oxidants are part of the picture in involved with anti-aging.
|
Those that suggest angels come on all sizes and shapes, all ages and skin types are right.
|
The statement that states angels come on all sizes and shapes, all ages and skin types 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]
Hypothetical Syllogism:
If [1], then [3]. [SC1-3]
If [3], then [2].
Therefore, If [1], then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [1], then [3].).), then (Either [5] or [6].). [SC1-4]
If (Not (If [1], then [3].).), then (Not (Either [5] or [6].).).
Therefore, If [1], then [3]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [1], then [3].).), then (Either [5] or [6].).).), then [9].
Not [9].
Therefore, If (Not (If [1], then [3].).), then (Either [5] or [6].)..
[SC2-2]
Modus Ponens:
If [4], then (If [1], then (Not [2].).).
[4] [SC2-3]
Therefore, If [1], then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then [4].
If [8], then [4].
Therefore, [4].
|
{0: 'Angels come on all sizes and shapes, all ages and skin types.', 1: 'Individual atoms can combine with other atoms to form molecules.', 2: 'Cinder cones build from erupting lava that breaks into small pieces as it blasts into the air.', 3: 'Mysticism is defined with examples given of what mystics say about their experience.', 4: 'Stirrups are part of saddles.', 5: 'Some beech martens live in areas.', 6: 'Some families keep pigs.', 7: 'Some physicians begin screening patients with a test to determine blood in the stool.', 8: 'Ozone is energy intensive, since the ozone is produced on site.', 9: 'Anti oxidants are part of the picture in involved with anti-aging.'}
| 7 |
6,164 |
['Assuming solar systems are created by gas clouds, we know that baleen whales have two external blowholes and are larger in size than most toothed whales.', 'One may reasonably assume that if if solar systems are created by gas clouds, then baleen whales have two external blowholes and are larger in size than most toothed whales, then technology is regarded as a tool for learning.', 'At least one of two things is true: some deaf dogs seem to love chasing a flashlight beam, or if technology is regarded as a tool for learning, then many scientists think maniraptorans gave rise to birds.', 'Should it be the case that those that suggest either felt isa cloth or heavy drinkers tend to starve - they eat little or have limited, inferior food choices are wrong, it follows that inattention is a pervasive problem among all age groups of both genders.', "The notion that 'inattention is a pervasive problem among all age groups of both genders' is untrue.", 'It is a fact that either standards evolve from social norms or if felt isa cloth, then the statement, some deaf dogs seem to love chasing a flashlight beam, does not hold.', 'It is not the case that standards evolve from social norms.', 'If cloves appear ophio style with light glossy pink to brown colors, then if heavy drinkers tend to starve - they eat little or have limited, inferior food choices, then the statement, some deaf dogs seem to love chasing a flashlight beam, does not hold.', 'The claim that cloves appear ophio style with light glossy pink to brown colors is true.']
|
Assuming solar systems are created by gas clouds, we know that baleen whales have two external blowholes and are larger in size than most toothed whales. One may reasonably assume that if if solar systems are created by gas clouds, then baleen whales have two external blowholes and are larger in size than most toothed whales, then technology is regarded as a tool for learning. At least one of two things is true: some deaf dogs seem to love chasing a flashlight beam, or if technology is regarded as a tool for learning, then many scientists think maniraptorans gave rise to birds. Should it be the case that those that suggest either felt isa cloth or heavy drinkers tend to starve - they eat little or have limited, inferior food choices are wrong, it follows that inattention is a pervasive problem among all age groups of both genders. The notion that 'inattention is a pervasive problem among all age groups of both genders' is untrue. It is a fact that either standards evolve from social norms or if felt isa cloth, then the statement, some deaf dogs seem to love chasing a flashlight beam, does not hold. It is not the case that standards evolve from social norms. If cloves appear ophio style with light glossy pink to brown colors, then if heavy drinkers tend to starve - they eat little or have limited, inferior food choices, then the statement, some deaf dogs seem to love chasing a flashlight beam, does not hold. The claim that cloves appear ophio style with light glossy pink to brown colors is true.
|
The statement 'many scientists think maniraptorans gave rise to birds' is true.
|
The statement 'many scientists think maniraptorans gave rise to birds' is true.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [3].
If [3], then [0]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].).
Not [4]. [SC2-3]
Therefore, If [3], then [0]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (Not [4].). [SC2-4]
If [6], then (Not [4].). [SC3-4]
Therefore, Not [4]..
[SC1-4]
Modus Tonens:
If (Not (Either [5] or [6].).), then [8].
Not [8].
Therefore, Either [5] or [6]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If [5], then (Not [4].).).
Not [9].
Therefore, If [5], then (Not [4].)..
[SC3-4]
Modus Ponens:
If [7], then (If [6], then (Not [4].).).
[7]
Therefore, If [6], then (Not [4].)..
|
{0: 'Many scientists think maniraptorans gave rise to birds.', 1: 'Solar systems are created by gas clouds.', 2: 'Baleen whales have two external blowholes and are larger in size than most toothed whales.', 3: 'Technology is regarded as a tool for learning.', 4: 'Some deaf dogs seem to love chasing a flashlight beam.', 5: 'Felt isa cloth.', 6: 'Heavy drinkers tend to starve - they eat little or have limited, inferior food choices.', 7: 'Cloves appear ophio style with light glossy pink to brown colors.', 8: 'Inattention is a pervasive problem among all age groups of both genders.', 9: 'Standards evolve from social norms.'}
| 7 |
6,106 |
["When the statement 'lakes are larger and deeper than most ponds' can be considered false is true, it follows that those that suggest workers perform at levels are wrong.", "Whenever it is true that either snails feed mainly on decaying plants and fungi or sunlight is certainly brighter than that produced by an electronic flash, 'workers perform at levels' is true.", "Should it be the case that culture consists of both material culture and non material culture, it follows that either either infections often progress down the petioles of blighted leaves into shoots, resulting in cankers or free speech is a central tenet of a free and democratic society or if the statement 'lakes are larger and deeper than most ponds' can be considered false, then either snails feed mainly on decaying plants and fungi or sunlight is certainly brighter than that produced by an electronic flash.", 'Assuming either infections often progress down the petioles of blighted leaves into shoots, resulting in cankers or free speech is a central tenet of a free and democratic society, we know that a chandelle is an evasion.', 'The statement that states a chandelle is an evasion is false.', 'Either one or both of these statements are true: hormonal balance plays a crucial part in depression, or culture consists of both material culture and non material culture.', 'If hormonal balance plays a crucial part in depression, then coconut fruits can float thousands of miles in the ocean to spread seeds.', 'The statement that states coconut fruits can float thousands of miles in the ocean to spread seeds is false.']
|
When the statement 'lakes are larger and deeper than most ponds' can be considered false is true, it follows that those that suggest workers perform at levels are wrong. Whenever it is true that either snails feed mainly on decaying plants and fungi or sunlight is certainly brighter than that produced by an electronic flash, 'workers perform at levels' is true. Should it be the case that culture consists of both material culture and non material culture, it follows that either either infections often progress down the petioles of blighted leaves into shoots, resulting in cankers or free speech is a central tenet of a free and democratic society or if the statement 'lakes are larger and deeper than most ponds' can be considered false, then either snails feed mainly on decaying plants and fungi or sunlight is certainly brighter than that produced by an electronic flash. Assuming either infections often progress down the petioles of blighted leaves into shoots, resulting in cankers or free speech is a central tenet of a free and democratic society, we know that a chandelle is an evasion. The statement that states a chandelle is an evasion is false. Either one or both of these statements are true: hormonal balance plays a crucial part in depression, or culture consists of both material culture and non material culture. If hormonal balance plays a crucial part in depression, then coconut fruits can float thousands of miles in the ocean to spread seeds. The statement that states coconut fruits can float thousands of miles in the ocean to spread seeds is false.
|
We can assume that lakes are larger and deeper than most ponds.
|
The notion that 'lakes are larger and deeper than most ponds' is untrue.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [2] or [3].). [SC1-2]
If (Either [2] or [3].), then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If (Not [0].), then (Either [2] or [3].).). [SC1-3]
Not (Either [4] or [5].). [SC2-3]
Therefore, If (Not [0].), then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If [7], then (Either (Either [4] or [5].) or (If (Not [0].), then (Either [2] or [3].).).).
[7] [SC2-4]
Therefore, Either (Either [4] or [5].) or (If (Not [0].), then (Either [2] or [3].).)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or [7].
Not [8]. [SC2-5]
Therefore, [7].
[SC2-5]
Modus Tonens:
If [8], then [9].
Not [9].
Therefore, Not [8]..
[SC2-3]
Modus Tonens:
If (Either [4] or [5].), then [6].
Not [6].
Therefore, Not (Either [4] or [5].)..
|
{0: 'Lakes are larger and deeper than most ponds.', 1: 'Workers perform at levels.', 2: 'Snails feed mainly on decaying plants and fungi.', 3: 'Sunlight is certainly brighter than that produced by an electronic flash.', 4: 'Infections often progress down the petioles of blighted leaves into shoots, resulting in cankers.', 5: 'Free speech is a central tenet of a free and democratic society.', 6: 'A chandelle is an evasion.', 7: 'Culture consists of both material culture and non material culture.', 8: 'Hormonal balance plays a crucial part in depression.', 9: 'Coconut fruits can float thousands of miles in the ocean to spread seeds.'}
| 7 |
6,016 |
['Given that the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, it can be inferred that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted.', 'On the condition that the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, it is definitely the case that the claim that camels are a traditional livestock for Central Asia does not correspond with reality.', 'Once we know most amphibians have brains, we also know that the claim that term insurance provides death protection for a specific period does not correspond with reality.', 'The claim that most commercial farmers use fertilizers to increase crop production does not reflect reality.', 'We know that either most tropical trees have seeds or either some animals adapt to input or scientists usually measure the distance from one gene to the next in both directions.', "Whenever it is true that most tropical trees have seeds, 'most amphibians have brains' is true.", 'Given that either some animals adapt to input or scientists usually measure the distance from one gene to the next in both directions, it can be inferred that most amphibians have brains.', "Given that the statement 'either most commercial farmers use fertilizers to increase crop production or if the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, then camels are a traditional livestock for Central Asia' can be considered false, it can be inferred that either estuaries provide unique environments or stress is a major factor in allergies.", "If the statement 'either most commercial farmers use fertilizers to increase crop production or if the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, then camels are a traditional livestock for Central Asia' can be considered false, then it is a common misconception that either estuaries provide unique environments or stress is a major factor in allergies."]
|
Given that the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, it can be inferred that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted. On the condition that the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, it is definitely the case that the claim that camels are a traditional livestock for Central Asia does not correspond with reality. Once we know most amphibians have brains, we also know that the claim that term insurance provides death protection for a specific period does not correspond with reality. The claim that most commercial farmers use fertilizers to increase crop production does not reflect reality. We know that either most tropical trees have seeds or either some animals adapt to input or scientists usually measure the distance from one gene to the next in both directions. Whenever it is true that most tropical trees have seeds, 'most amphibians have brains' is true. Given that either some animals adapt to input or scientists usually measure the distance from one gene to the next in both directions, it can be inferred that most amphibians have brains. Given that the statement 'either most commercial farmers use fertilizers to increase crop production or if the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, then camels are a traditional livestock for Central Asia' can be considered false, it can be inferred that either estuaries provide unique environments or stress is a major factor in allergies. If the statement 'either most commercial farmers use fertilizers to increase crop production or if the claim that either term insurance provides death protection for a specific period or if the claim that democracy empowers people to grab hold of that power and use it for their own particular benefit has no merit, then the claim that squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted does not correspond with reality is false, then camels are a traditional livestock for Central Asia' can be considered false, then it is a common misconception that either estuaries provide unique environments or stress is a major factor in allergies.
|
It is a simple truth that democracy empowers people to grab hold of that power and use it for their own particular benefit.
|
It is a simple truth that democracy empowers people to grab hold of that power and use it for their own particular benefit.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3]. [SC1-3]
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then (Not [3].).
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].). [SC1-4]
Not [8].
Therefore, If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [8] or (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].).).), then (Either [9] or [10].).
If (Not (Either [8] or (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].).).), then (Not (Either [9] or [10].).).
Therefore, Either [8] or (If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [3].)..
[SC2-2]
Modus Ponens:
If [4], then (Not [2].).
[4] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then [4].
If (Either [6] or [7].), then [4].
Therefore, [4].
|
{0: 'Democracy empowers people to grab hold of that power and use it for their own particular benefit.', 1: 'Squabs are rich and tender and can be split and broiled or grilled or stuffed and roasted.', 2: 'Term insurance provides death protection for a specific period.', 3: 'Camels are a traditional livestock for Central Asia.', 4: 'Most amphibians have brains.', 5: 'Most tropical trees have seeds.', 6: 'Some animals adapt to input.', 7: 'Scientists usually measure the distance from one gene to the next in both directions.', 8: 'Most commercial farmers use fertilizers to increase crop production.', 9: 'Estuaries provide unique environments.', 10: 'Stress is a major factor in allergies.'}
| 7 |
6,575 |
['Given that chameleons have (part) chests, it can be inferred that transmission lines can transport electricity with less loss at higher voltages.', 'On the condition that transmission lines can transport electricity with less loss at higher voltages, it is definitely the case that most sunflower seeds contain nutrients.', "Given that regions contain vegetation, it can be inferred that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then skeletal muscle is in reality a syncytium.", "Should it be the case that many mutant receptors show a substantially reduced cell surface delivery, it follows that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then skeletal muscle is in reality a syncytium.", 'At least one of two things is true: internet addresses are hierarchical addresses, or either realism is the standard of modern art or straight people can be queer.', "Whenever it is true that internet addresses are hierarchical addresses, 'if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then the claim that skeletal muscle is in reality a syncytium does not correspond with reality' is true.", "Provided that either realism is the standard of modern art or straight people can be queer, we know that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then the claim that skeletal muscle is in reality a syncytium does not correspond with reality.", 'Given that tamoxifen already is used widely to prevent the spread or return of breast cancer, it can be inferred that desert animals get water.', "When the statement 'if if tamoxifen already is used widely to prevent the spread or return of breast cancer, then desert animals get water, then either regions contain vegetation or many mutant receptors show a substantially reduced cell surface delivery' can be considered false is true, it follows that if phenol is absorbed easily into the body through the skin, lungs, and stomach, then microbes coming into the body have their own uniforms, which are usually very different.", 'The statement that states if phenol is absorbed easily into the body through the skin, lungs, and stomach, then microbes coming into the body have their own uniforms, which are usually very different is false.']
|
Given that chameleons have (part) chests, it can be inferred that transmission lines can transport electricity with less loss at higher voltages. On the condition that transmission lines can transport electricity with less loss at higher voltages, it is definitely the case that most sunflower seeds contain nutrients. Given that regions contain vegetation, it can be inferred that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then skeletal muscle is in reality a syncytium. Should it be the case that many mutant receptors show a substantially reduced cell surface delivery, it follows that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then skeletal muscle is in reality a syncytium. At least one of two things is true: internet addresses are hierarchical addresses, or either realism is the standard of modern art or straight people can be queer. Whenever it is true that internet addresses are hierarchical addresses, 'if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then the claim that skeletal muscle is in reality a syncytium does not correspond with reality' is true. Provided that either realism is the standard of modern art or straight people can be queer, we know that if the statement that 'if transmission lines can transport electricity with less loss at higher voltages, then the notion that 'most sunflower seeds contain nutrients' is untrue' is incorrect, then the claim that skeletal muscle is in reality a syncytium does not correspond with reality. Given that tamoxifen already is used widely to prevent the spread or return of breast cancer, it can be inferred that desert animals get water. When the statement 'if if tamoxifen already is used widely to prevent the spread or return of breast cancer, then desert animals get water, then either regions contain vegetation or many mutant receptors show a substantially reduced cell surface delivery' can be considered false is true, it follows that if phenol is absorbed easily into the body through the skin, lungs, and stomach, then microbes coming into the body have their own uniforms, which are usually very different. The statement that states if phenol is absorbed easily into the body through the skin, lungs, and stomach, then microbes coming into the body have their own uniforms, which are usually very different is false.
|
The statement, chameleons have (part) chests, does not hold.
|
The statement 'chameleons have long, sticky tongues for catching bugs' can be considered false.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then [3]. [SC1-3]
If (Not (If [1], then (Not [2].).).), then (Not [3].). [SC2-3]
Therefore, If [1], then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then (If (Not (If [1], then (Not [2].).).), then [3].).
If [5], then (If (Not (If [1], then (Not [2].).).), then [3].).
Therefore, If (Not (If [1], then (Not [2].).).), then [3]..
[SC1-4]
Modus Ponens:
If (If [9], then [10].), then (Either [4] or [5].). [SC1-5]
If [9], then [10].
Therefore, Either [4] or [5]..
[SC1-5]
Modus Tonens:
If (Not (If (If [9], then [10].), then (Either [4] or [5].).).), then (If [11], then [12].).
Not (If [11], then [12].).
Therefore, If (If [9], then [10].), then (Either [4] or [5].)..
[SC2-3]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (If (Not (If [1], then (Not [2].).).), then (Not [3].).).
If (Either [7] or [8].), then (If (Not (If [1], then (Not [2].).).), then (Not [3].).).
Therefore, If (Not (If [1], then (Not [2].).).), then (Not [3].)..
|
{0: 'Chameleons have (part) chests.', 1: 'Transmission lines can transport electricity with less loss at higher voltages.', 2: 'Most sunflower seeds contain nutrients.', 3: 'Skeletal muscle is in reality a syncytium.', 4: 'Regions contain vegetation.', 5: 'Many mutant receptors show a substantially reduced cell surface delivery.', 6: 'Internet addresses are hierarchical addresses.', 7: 'Realism is the standard of modern art.', 8: 'Straight people can be queer.', 9: 'Tamoxifen already is used widely to prevent the spread or return of breast cancer.', 10: 'Desert animals get water.', 11: 'Phenol is absorbed easily into the body through the skin, lungs, and stomach.', 12: 'Microbes coming into the body have their own uniforms, which are usually very different.'}
| 7 |
6,925 |
['If if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities, then dolphins do come to play, against the wake that follows.', 'Once we know if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky, we also know that dolphins do come to play, against the wake that follows.', 'If some gymnosperms produce gametophytes, then some bacteria infect turkeys.', 'Provided that the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, we know that heat exhaustion is caused by excessive fluid loss.', 'If heat exhaustion is caused by excessive fluid loss, then some gymnosperms produce gametophytes.', 'There is good reason to believe that either energy is an essential ingredient for social and economic development or rape is an extreme form of sexual violence but there are many other, less recognized forms as well.', 'One may reasonably assume that if energy is an essential ingredient for social and economic development, then either primary growth is the growth that determines the height or length a plant attains or if the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, then it is not the case that some bacteria infect turkeys.', 'Once we know rape is an extreme form of sexual violence but there are many other, less recognized forms as well, we also know that either primary growth is the growth that determines the height or length a plant attains or if the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, then it is not the case that some bacteria infect turkeys.', 'If hens tend to go broody more than other heavy egg breeds, which is to say occasionally, then it is not the case that primary growth is the growth that determines the height or length a plant attains .', 'The idea that hens tend to go broody more than other heavy egg breeds, which is to say occasionally is true.']
|
If if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities, then dolphins do come to play, against the wake that follows. Once we know if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky, we also know that dolphins do come to play, against the wake that follows. If some gymnosperms produce gametophytes, then some bacteria infect turkeys. Provided that the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, we know that heat exhaustion is caused by excessive fluid loss. If heat exhaustion is caused by excessive fluid loss, then some gymnosperms produce gametophytes. There is good reason to believe that either energy is an essential ingredient for social and economic development or rape is an extreme form of sexual violence but there are many other, less recognized forms as well. One may reasonably assume that if energy is an essential ingredient for social and economic development, then either primary growth is the growth that determines the height or length a plant attains or if the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, then it is not the case that some bacteria infect turkeys. Once we know rape is an extreme form of sexual violence but there are many other, less recognized forms as well, we also know that either primary growth is the growth that determines the height or length a plant attains or if the statement that states either if informed consumers have an impact on the amounts and types of household products produced, then sealants are a safe, effective and economical way to prevent cavities or if cats are weak trichromats, then vultures have large, powerful wings that they use to soar through the sky is false, then it is not the case that some bacteria infect turkeys. If hens tend to go broody more than other heavy egg breeds, which is to say occasionally, then it is not the case that primary growth is the growth that determines the height or length a plant attains . The idea that hens tend to go broody more than other heavy egg breeds, which is to say occasionally is true.
|
The statement 'dolphins do come to play, against the wake that follows' is true.
|
It is not the case that dolphins do come to play, against the wake that follows.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or (If [3], then [4].). [SC1-1]
If (If [1], then [2].), then [0].
If (If [3], then [4].), then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [5]. [SC1-2]
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].). [SC2-2]
Therefore, Either (If [1], then [2].) or (If [3], then [4].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [6]. [SC1-3]
If [6], then [5].
Therefore, If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [5]..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [11].
If [11], then [6].
Therefore, If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then [6]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].).). [SC1-3]
Not [7]. [SC2-3]
Therefore, If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].)..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [7] or (If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].).).).
If [10], then (Either [7] or (If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].).).).
Therefore, Either [7] or (If (Not (Either (If [1], then [2].) or (If [3], then [4].).).), then (Not [5].).)..
[SC2-3]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
|
{0: 'Dolphins do come to play, against the wake that follows.', 1: 'Informed consumers have an impact on the amounts and types of household products produced.', 2: 'Sealants are a safe, effective and economical way to prevent cavities.', 3: 'Cats are weak trichromats.', 4: 'Vultures have large, powerful wings that they use to soar through the sky.', 5: 'Some bacteria infect turkeys.', 6: 'Some gymnosperms produce gametophytes.', 7: 'Primary growth is the growth that determines the height or length a plant attains .', 8: 'Hens tend to go broody more than other heavy egg breeds, which is to say occasionally.', 9: 'Energy is an essential ingredient for social and economic development.', 10: 'Rape is an extreme form of sexual violence but there are many other, less recognized forms as well.', 11: 'Heat exhaustion is caused by excessive fluid loss.'}
| 7 |
6,712 |
['We know that the claim that food hygiene is especially important during pregnancy is false.', 'We know that at least one of two things is true: disinfectants require the removal of soils from a surface before they are effective, or either food hygiene is especially important during pregnancy or we know that the claim that arrhythmias often can occur without any symptoms at all is false.', "The statement 'chronic bronchitis is an inflammation of the lining of the bronchial tubes' can be considered false.", 'Assuming cells increase in size and weight as they store fat, we know that either chronic bronchitis is an inflammation of the lining of the bronchial tubes or it is not the case that disinfectants require the removal of soils from a surface before they are effective.', 'Once we know if enzymes cause a colored reaction if molds are present in samples, then flawless conditioning is a reflection of their commitment to perfection, we also know that cells increase in size and weight as they store fat.', 'Given that birds can be many colors, it can be inferred that either beetles are the adult stage of the life cycle, and they lay the eggs in the mealworm substrate or if enzymes cause a colored reaction if molds are present in samples, then flawless conditioning is a reflection of their commitment to perfection.', "The statement 'birds can be many colors' can be considered true.", 'Assuming the claim that if beetles are the adult stage of the life cycle, and they lay the eggs in the mealworm substrate, then cells increase in size and weight as they store fat is false, we know that people can also help protect themselves from infection by washing their hands frequently.', 'The statement that states people can also help protect themselves from infection by washing their hands frequently is false.']
|
We know that the claim that food hygiene is especially important during pregnancy is false. We know that at least one of two things is true: disinfectants require the removal of soils from a surface before they are effective, or either food hygiene is especially important during pregnancy or we know that the claim that arrhythmias often can occur without any symptoms at all is false. The statement 'chronic bronchitis is an inflammation of the lining of the bronchial tubes' can be considered false. Assuming cells increase in size and weight as they store fat, we know that either chronic bronchitis is an inflammation of the lining of the bronchial tubes or it is not the case that disinfectants require the removal of soils from a surface before they are effective. Once we know if enzymes cause a colored reaction if molds are present in samples, then flawless conditioning is a reflection of their commitment to perfection, we also know that cells increase in size and weight as they store fat. Given that birds can be many colors, it can be inferred that either beetles are the adult stage of the life cycle, and they lay the eggs in the mealworm substrate or if enzymes cause a colored reaction if molds are present in samples, then flawless conditioning is a reflection of their commitment to perfection. The statement 'birds can be many colors' can be considered true. Assuming the claim that if beetles are the adult stage of the life cycle, and they lay the eggs in the mealworm substrate, then cells increase in size and weight as they store fat is false, we know that people can also help protect themselves from infection by washing their hands frequently. The statement that states people can also help protect themselves from infection by washing their hands frequently is false.
|
We know that the claim that arrhythmias often can occur without any symptoms at all is false.
|
It is the case that arrhythmias often can occur without any symptoms at all.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or (Not [0].).).
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [4], then (Either [3] or (Not [2].).).
[4] [SC2-4]
Therefore, Either [3] or (Not [2].)..
[SC2-4]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-5]
If [5], then [4]. [SC2-5]
If (If [6], then [7].), then [4].
Therefore, [4].
[SC1-5]
Modus Ponens:
If [8], then (Either [5] or (If [6], then [7].).).
[8]
Therefore, Either [5] or (If [6], then [7].)..
[SC2-5]
Modus Tonens:
If (Not (If [5], then [4].).), then [9].
Not [9].
Therefore, If [5], then [4]..
|
{0: 'Arrhythmias often can occur without any symptoms at all.', 1: 'Food hygiene is especially important during pregnancy.', 2: 'Disinfectants require the removal of soils from a surface before they are effective.', 3: 'Chronic bronchitis is an inflammation of the lining of the bronchial tubes.', 4: 'Cells increase in size and weight as they store fat.', 5: 'Beetles are the adult stage of the life cycle, and they lay the eggs in the mealworm substrate.', 6: 'Enzymes cause a colored reaction if molds are present in samples.', 7: 'Flawless conditioning is a reflection of their commitment to perfection.', 8: 'Birds can be many colors.', 9: 'People can also help protect themselves from infection by washing their hands frequently.'}
| 7 |
6,540 |
['Once we know light comes out of magnetic poles like lights from a lighthouse, we also know that if most quakes have depth, then geologists are people who have a special knack for working such puzzles.', 'Either thymine starvation has effects or either owls like to sit on tree trunks where they like to build their nests or light comes out of magnetic poles like lights from a lighthouse.', 'Given that thymine starvation has effects, it can be inferred that violence is a sign that a relationship is in trouble.', 'Should it be the case that thymine starvation has effects, it follows that it is not the case that violence is a sign that a relationship is in trouble.', "So long as physical constraints limit economic growth, 'if weirs are dams, then if owls like to sit on tree trunks where they like to build their nests, then if most quakes have depth, then geologists are people who have a special knack for working such puzzles' is true.", 'On the condition that excessive consumption can damage and kill the host, it is definitely the case that if weirs are dams, then if owls like to sit on tree trunks where they like to build their nests, then if most quakes have depth, then geologists are people who have a special knack for working such puzzles.', 'One may reasonably assume that if it is not the case that weirs are dams, then medical assistants provide patients.', "Whenever it is true that it is not the case that weirs are dams, 'the statement that states medical assistants provide patients is false' is true.", 'Given that some bison thrive in grass, it can be inferred that either physical constraints limit economic growth or excessive consumption can damage and kill the host.', 'some bison thrive in grass.']
|
Once we know light comes out of magnetic poles like lights from a lighthouse, we also know that if most quakes have depth, then geologists are people who have a special knack for working such puzzles. Either thymine starvation has effects or either owls like to sit on tree trunks where they like to build their nests or light comes out of magnetic poles like lights from a lighthouse. Given that thymine starvation has effects, it can be inferred that violence is a sign that a relationship is in trouble. Should it be the case that thymine starvation has effects, it follows that it is not the case that violence is a sign that a relationship is in trouble. So long as physical constraints limit economic growth, 'if weirs are dams, then if owls like to sit on tree trunks where they like to build their nests, then if most quakes have depth, then geologists are people who have a special knack for working such puzzles' is true. On the condition that excessive consumption can damage and kill the host, it is definitely the case that if weirs are dams, then if owls like to sit on tree trunks where they like to build their nests, then if most quakes have depth, then geologists are people who have a special knack for working such puzzles. One may reasonably assume that if it is not the case that weirs are dams, then medical assistants provide patients. Whenever it is true that it is not the case that weirs are dams, 'the statement that states medical assistants provide patients is false' is true. Given that some bison thrive in grass, it can be inferred that either physical constraints limit economic growth or excessive consumption can damage and kill the host. some bison thrive in grass.
|
Assuming most quakes have depth, we know that geologists are people who have a special knack for working such puzzles.
|
If some quakes destroy cities, then geologists are people who have a special knack for working such puzzles.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].).
Not [4]. [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [9].
If [4], then (Not [9].).
Therefore, Not [4]..
[SC2-1]
Modus Ponens:
If [5], then (If [2], then (If [0], then [1].).). [SC1-2]
[5] [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (If [5], then (If [2], then (If [0], then [1].).).).
If [8], then (If [5], then (If [2], then (If [0], then [1].).).).
Therefore, If [5], then (If [2], then (If [0], then [1].).)..
[SC1-3]
Modus Ponens:
If [10], then (Either [7] or [8].).
[10]
Therefore, Either [7] or [8]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [5].), then [6].
If (Not [5].), then (Not [6].).
Therefore, [5].
|
{0: 'Most quakes have depth.', 1: 'Geologists are people who have a special knack for working such puzzles.', 2: 'Owls like to sit on tree trunks where they like to build their nests.', 3: 'Light comes out of magnetic poles like lights from a lighthouse.', 4: 'Thymine starvation has effects.', 5: 'Weirs are dams.', 6: 'Medical assistants provide patients.', 7: 'Physical constraints limit economic growth.', 8: 'Excessive consumption can damage and kill the host.', 9: 'Violence is a sign that a relationship is in trouble.', 10: 'Some bison thrive in grass.'}
| 7 |
6,329 |
['When it is not true that if insanity is a state of mind But never let it go, then soft tannins coat the mouth is true, it follows that swans have (part) heads.', "The notion that 'some aardwolfs have muzzles' is untrue.", 'The statement that states insects have mouths is right.', "So long as soft tannins coat the mouth, 'mountain beaver are strict herbivores' is true.", "One may reasonably assume that if the notion that 'if insects have mouths, then it is a common misconception that swans have (part) heads' is untrue, then jaguars are black.", 'The claim that jaguars are black does not reflect reality.', 'Provided that it is a common misconception that if mountain beaver are strict herbivores, then some aardwolfs have muzzles, we know that if frogs develop eggs, then boxes perform duties.', 'One may reasonably assume that if it is a common misconception that if mountain beaver are strict herbivores, then some aardwolfs have muzzles, then some people mistakenly believe that if frogs develop eggs, then boxes perform duties.']
|
When it is not true that if insanity is a state of mind But never let it go, then soft tannins coat the mouth is true, it follows that swans have (part) heads. The notion that 'some aardwolfs have muzzles' is untrue. The statement that states insects have mouths is right. So long as soft tannins coat the mouth, 'mountain beaver are strict herbivores' is true. One may reasonably assume that if the notion that 'if insects have mouths, then it is a common misconception that swans have (part) heads' is untrue, then jaguars are black. The claim that jaguars are black does not reflect reality. Provided that it is a common misconception that if mountain beaver are strict herbivores, then some aardwolfs have muzzles, we know that if frogs develop eggs, then boxes perform duties. One may reasonably assume that if it is a common misconception that if mountain beaver are strict herbivores, then some aardwolfs have muzzles, then some people mistakenly believe that if frogs develop eggs, then boxes perform duties.
|
It is not true that insanity is a state of mind But never let it go.
|
The notion that 'insanity is a defense to certain crimes that require proof of intent' is untrue.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [3].
Not [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4]
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (Not [3].).).), then [8].
Not [8].
Therefore, If [4], then (Not [3].)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [5].
If [5], then [2]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then [2].).), then (If [6], then [7].).
If (Not (If [5], then [2].).), then (Not (If [6], then [7].).).
Therefore, If [5], then [2]..
|
{0: 'Insanity is a state of mind But never let it go.', 1: 'Soft tannins coat the mouth.', 2: 'Some aardwolfs have muzzles.', 3: 'Swans have (part) heads.', 4: 'Insects have mouths.', 5: 'Mountain beaver are strict herbivores.', 6: 'Frogs develop eggs.', 7: 'Boxes perform duties.', 8: 'Jaguars are black.'}
| 7 |
6,480 |
["So long as it is a common misconception that trees require food, just like animals and people, 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is true.", 'It is not true that if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good.', 'We can assume that kevlar thread is used on reinforced areas for extra durability.', 'At least one of two things is true: jellyfish have predators, or healing is always a process within our minds, body and spirit.', "When jellyfish have predators is true, it follows that if those that suggest if kevlar thread is used on reinforced areas for extra durability, then either if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good or if it is a common misconception that trees require food, just like animals and people, then the notion that 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is untrue are wrong, then if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation .", 'There is good reason to believe that either some artists paint pictures or some people mistakenly believe that if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation .', 'The claim that some artists paint pictures has no merit.', "One may reasonably assume that if the claim that if healing is always a process within our minds, body and spirit, then if those that suggest if kevlar thread is used on reinforced areas for extra durability, then either if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good or if it is a common misconception that trees require food, just like animals and people, then the notion that 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is untrue are wrong, then if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation has no merit, then if alveolar consonants are almost always apicals , then human dignity is protected by the state.", 'The claim that if alveolar consonants are almost always apicals , then human dignity is protected by the state has no merit.']
|
So long as it is a common misconception that trees require food, just like animals and people, 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is true. It is not true that if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good. We can assume that kevlar thread is used on reinforced areas for extra durability. At least one of two things is true: jellyfish have predators, or healing is always a process within our minds, body and spirit. When jellyfish have predators is true, it follows that if those that suggest if kevlar thread is used on reinforced areas for extra durability, then either if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good or if it is a common misconception that trees require food, just like animals and people, then the notion that 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is untrue are wrong, then if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation . There is good reason to believe that either some artists paint pictures or some people mistakenly believe that if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation . The claim that some artists paint pictures has no merit. One may reasonably assume that if the claim that if healing is always a process within our minds, body and spirit, then if those that suggest if kevlar thread is used on reinforced areas for extra durability, then either if networks emerge as people engage with others based on their values, then most people are more likely to do evil rather than good or if it is a common misconception that trees require food, just like animals and people, then the notion that 'tea contains trace minerals and nutrients that are beneficial to the different systems of the body' is untrue are wrong, then if energy is the ability to do work, and doing work on something gives it energy, then polluted runoff is the number one cause of water pollution in the nation has no merit, then if alveolar consonants are almost always apicals , then human dignity is protected by the state. The claim that if alveolar consonants are almost always apicals , then human dignity is protected by the state has no merit.
|
The statement 'trees require food, just like animals and people' is true.
|
The statement 'trees require food, just like animals and people' is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).). [SC1-2]
Not (If [2], then [3].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).). [SC1-3]
[4]
Therefore, Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].). [SC1-4]
Not (If [5], then [6].). [SC2-4]
Therefore, If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).)..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].).).
If [8], then (If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].).). [SC3-5]
Therefore, If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].)..
[SC3-5]
Modus Tonens:
If (Not (If [8], then (If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].).).).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, If [8], then (If (Not (If [4], then (Either (If [2], then [3].) or (If (Not [0].), then (Not [1].).).).).), then (If [5], then [6].).)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (Not (If [5], then [6].).).
Not [9].
Therefore, Not (If [5], then [6].)..
|
{0: 'Trees require food, just like animals and people.', 1: 'Tea contains trace minerals and nutrients that are beneficial to the different systems of the body.', 2: 'Networks emerge as people engage with others based on their values.', 3: 'Most people are more likely to do evil rather than good.', 4: 'Kevlar thread is used on reinforced areas for extra durability.', 5: 'Energy is the ability to do work, and doing work on something gives it energy.', 6: 'Polluted runoff is the number one cause of water pollution in the nation .', 7: 'Jellyfish have predators.', 8: 'Healing is always a process within our minds, body and spirit.', 9: 'Some artists paint pictures.', 10: 'Alveolar consonants are almost always apicals .', 11: 'Human dignity is protected by the state.'}
| 7 |
6,498 |
['It is a fact that either natural predators can help control pests or if some people mistakenly believe that either angiogenesis involves endothelial proliferation, differentiation and migration or transport is also a sector of the economy that shows almost continuous growth in all areas, then either an oceanographer is a scientist or famous equations describe logistic growth.', 'It is a fact that either if antinomianism is a reckless disregard for moral law, especially the moral principles of Scripture, then bright color is color or habitats provide resources.', "Provided that if antinomianism is a reckless disregard for moral law, especially the moral principles of Scripture, then bright color is color, we know that the statement that 'either an oceanographer is a scientist or famous equations describe logistic growth' is incorrect.", "When habitats provide resources is true, it follows that the statement that 'either an oceanographer is a scientist or famous equations describe logistic growth' is incorrect.", 'When tannins are the most abundant phenolic compound in brown bird-resistant sorghum is true, it follows that some people mistakenly believe that natural predators can help control pests.', 'some viruses are located in cattle.', 'Given that silk is a protein that has an unusual composition in that it consists of only a few amino acids, it can be inferred that if some viruses are located in cattle, then tannins are the most abundant phenolic compound in brown bird-resistant sorghum.', 'We know that either cockroaches invade homes or silk is a protein that has an unusual composition in that it consists of only a few amino acids.', 'The claim that cockroaches invade homes is false.']
|
It is a fact that either natural predators can help control pests or if some people mistakenly believe that either angiogenesis involves endothelial proliferation, differentiation and migration or transport is also a sector of the economy that shows almost continuous growth in all areas, then either an oceanographer is a scientist or famous equations describe logistic growth. It is a fact that either if antinomianism is a reckless disregard for moral law, especially the moral principles of Scripture, then bright color is color or habitats provide resources. Provided that if antinomianism is a reckless disregard for moral law, especially the moral principles of Scripture, then bright color is color, we know that the statement that 'either an oceanographer is a scientist or famous equations describe logistic growth' is incorrect. When habitats provide resources is true, it follows that the statement that 'either an oceanographer is a scientist or famous equations describe logistic growth' is incorrect. When tannins are the most abundant phenolic compound in brown bird-resistant sorghum is true, it follows that some people mistakenly believe that natural predators can help control pests. some viruses are located in cattle. Given that silk is a protein that has an unusual composition in that it consists of only a few amino acids, it can be inferred that if some viruses are located in cattle, then tannins are the most abundant phenolic compound in brown bird-resistant sorghum. We know that either cockroaches invade homes or silk is a protein that has an unusual composition in that it consists of only a few amino acids. The claim that cockroaches invade homes is false.
|
We know that at least one of two things is true: angiogenesis involves endothelial proliferation, differentiation and migration, or transport is also a sector of the economy that shows almost continuous growth in all areas.
|
The statement that states either angiogenesis involves endothelial proliferation, differentiation and migration or transport is also a sector of the economy that shows almost continuous growth in all areas is false.
|
FALSE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then (Either [2] or [3].). [SC1-1]
Not (Either [2] or [3].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [0] or [1].).), then (Either [2] or [3].).).
Not [7]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Either [2] or [3].)..
[SC2-2]
Modus Ponens:
If [8], then (Not [7].).
[8] [SC2-3]
Therefore, Not [7]..
[SC2-3]
Modus Ponens:
If [9], then [8]. [SC1-4]
[9]
Therefore, [8].
[SC1-4]
Modus Ponens:
If [10], then (If [9], then [8].).
[10] [SC2-5]
Therefore, If [9], then [8]..
[SC2-5]
Disjunctive Syllogism:
Either [11] or [10].
Not [11].
Therefore, [10].
[SC2-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (Not (Either [2] or [3].).).
If [6], then (Not (Either [2] or [3].).).
Therefore, Not (Either [2] or [3].)..
|
{0: 'Angiogenesis involves endothelial proliferation, differentiation and migration.', 1: 'Transport is also a sector of the economy that shows almost continuous growth in all areas.', 2: 'An oceanographer is a scientist.', 3: 'Famous equations describe logistic growth.', 4: 'Antinomianism is a reckless disregard for moral law, especially the moral principles of Scripture.', 5: 'Bright color is color.', 6: 'Habitats provide resources.', 7: 'Natural predators can help control pests.', 8: 'Tannins are the most abundant phenolic compound in brown bird-resistant sorghum.', 9: 'Some viruses are located in cattle.', 10: 'Silk is a protein that has an unusual composition in that it consists of only a few amino acids.', 11: 'Cockroaches invade homes.'}
| 7 |
6,968 |
['It is true that woodlands are bottomland hardwoods with pines intermingled.', "The statement 'if prokaryotes also lack other membrane-bound internal structures, then some women kill hospital patients' can be considered false.", "When the claim that if the claim that if woodlands are bottomland hardwoods with pines intermingled, then positions are a predictor of baby's gender is false, then if prokaryotes also lack other membrane-bound internal structures, then some women kill hospital patients is false is true, it follows that either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits.", 'Once we know either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, we also know that nature often suffers when hedgerows are taken away to make fields bigger .', "There is good reason to believe that either proper nouns are places, people's names, or other things like days of the week or a baluster is support.", 'Either one or both of these statements are true: fiestas are colorful events, full of music and dancing, processions, parades and fireworks, or most small birds prefer water near cover.', "Once we know fiestas are colorful events, full of music and dancing, processions, parades and fireworks, we also know that if proper nouns are places, people's names, or other things like days of the week, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false.", "Should it be the case that most small birds prefer water near cover, it follows that if proper nouns are places, people's names, or other things like days of the week, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false.", 'We know that at least one of two things is true: children continue to be exploited in obscene and inhuman ways, or if a baluster is support, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false.', 'The statement that states children continue to be exploited in obscene and inhuman ways is false.']
|
It is true that woodlands are bottomland hardwoods with pines intermingled. The statement 'if prokaryotes also lack other membrane-bound internal structures, then some women kill hospital patients' can be considered false. When the claim that if the claim that if woodlands are bottomland hardwoods with pines intermingled, then positions are a predictor of baby's gender is false, then if prokaryotes also lack other membrane-bound internal structures, then some women kill hospital patients is false is true, it follows that either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits. Once we know either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, we also know that nature often suffers when hedgerows are taken away to make fields bigger . There is good reason to believe that either proper nouns are places, people's names, or other things like days of the week or a baluster is support. Either one or both of these statements are true: fiestas are colorful events, full of music and dancing, processions, parades and fireworks, or most small birds prefer water near cover. Once we know fiestas are colorful events, full of music and dancing, processions, parades and fireworks, we also know that if proper nouns are places, people's names, or other things like days of the week, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false. Should it be the case that most small birds prefer water near cover, it follows that if proper nouns are places, people's names, or other things like days of the week, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false. We know that at least one of two things is true: children continue to be exploited in obscene and inhuman ways, or if a baluster is support, then if either hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways or most coconut oil has many health benefits, then the claim that nature often suffers when hedgerows are taken away to make fields bigger is false. The statement that states children continue to be exploited in obscene and inhuman ways is false.
|
The claim that positions are a predictor of baby's gender holds true.
|
Position relates to which side of the promoter the structural gene is inserted.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then (If [2], then [3].).).), then (Either [4] or [5].).
Not (Either [4] or [5].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (If [2], then [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Either [4] or [5].), then [6].
If (Either [4] or [5].), then (Not [6].). [SC2-4]
Therefore, Not (Either [4] or [5].)..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Either [4] or [5].), then (Not [6].).). [SC2-5]
If [8], then (If (Either [4] or [5].), then (Not [6].).). [SC3-5]
Therefore, If (Either [4] or [5].), then (Not [6].)..
[SC2-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [7], then (If (Either [4] or [5].), then (Not [6].).).).
If [10], then (If [7], then (If (Either [4] or [5].), then (Not [6].).).).
Therefore, If [7], then (If (Either [4] or [5].), then (Not [6].).)..
[SC3-5]
Disjunctive Syllogism:
Either [11] or (If [8], then (If (Either [4] or [5].), then (Not [6].).).).
Not [11].
Therefore, If [8], then (If (Either [4] or [5].), then (Not [6].).)..
|
{0: "Positions are a predictor of baby's gender.", 1: 'Woodlands are bottomland hardwoods with pines intermingled.', 2: 'Prokaryotes also lack other membrane-bound internal structures.', 3: 'Some women kill hospital patients.', 4: 'Hyperventilation increases the number of inhaled allergens, and cools and dehydrates the airways.', 5: 'Most coconut oil has many health benefits.', 6: 'Nature often suffers when hedgerows are taken away to make fields bigger .', 7: "Proper nouns are places, people's names, or other things like days of the week.", 8: 'A baluster is support.', 9: 'Fiestas are colorful events, full of music and dancing, processions, parades and fireworks.', 10: 'Most small birds prefer water near cover.', 11: 'Children continue to be exploited in obscene and inhuman ways.'}
| 7 |
6,405 |
['The statement, platypuses have (part) cytoplasm, does not hold.', 'Once we know it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, we also know that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall.', 'Should it be the case that natural foods play an essential part in maintaining the good health of people of all ages, it follows that if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then most people think that an aneurysm means bleeding in the brain.', "Whenever it is true that orcas have (part) breasts, 'if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then most people think that an aneurysm means bleeding in the brain' is true.", 'If some glove materials are more resistant to specific chemicals than others, then if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then the claim that most people think that an aneurysm means bleeding in the brain does not correspond with reality.', 'It is true that some glove materials are more resistant to specific chemicals than others.', 'When if boilers are vessels, then some fats are compounds of two or more differ- ent fatty acids combined with glycerol is true, it follows that either natural foods play an essential part in maintaining the good health of people of all ages or orcas have (part) breasts.', "Whenever it is true that boilers are vessels, 'pesticides can cause sterility and cancer' is true.", "Whenever it is true that pesticides can cause sterility and cancer, 'some fats are compounds of two or more differ- ent fatty acids combined with glycerol' is true."]
|
The statement, platypuses have (part) cytoplasm, does not hold. Once we know it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, we also know that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall. Should it be the case that natural foods play an essential part in maintaining the good health of people of all ages, it follows that if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then most people think that an aneurysm means bleeding in the brain. Whenever it is true that orcas have (part) breasts, 'if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then most people think that an aneurysm means bleeding in the brain' is true. If some glove materials are more resistant to specific chemicals than others, then if the claim that if it is not the case that either platypuses have (part) cytoplasm or children are naturally dependent upon their parents, then it is not true that either pests are opportunistic species that take advantage of disruptions or changes in natural systems or books are heavy and have pointed corners so they can be quite painful when they fall does not correspond with reality, then the claim that most people think that an aneurysm means bleeding in the brain does not correspond with reality. It is true that some glove materials are more resistant to specific chemicals than others. When if boilers are vessels, then some fats are compounds of two or more differ- ent fatty acids combined with glycerol is true, it follows that either natural foods play an essential part in maintaining the good health of people of all ages or orcas have (part) breasts. Whenever it is true that boilers are vessels, 'pesticides can cause sterility and cancer' is true. Whenever it is true that pesticides can cause sterility and cancer, 'some fats are compounds of two or more differ- ent fatty acids combined with glycerol' is true.
|
The statement 'children are naturally dependent upon their parents' can be considered true.
|
The statement 'children are naturally dependent upon their parents' can be considered true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then (Either [2] or [3].).
If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4]. [SC1-3]
If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then (Not [4].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4].).
If [7], then (If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4].).
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4]..
[SC1-4]
Modus Ponens:
If (If [8], then [9].), then (Either [6] or [7].).
If [8], then [9]. [SC2-5]
Therefore, Either [6] or [7]..
[SC2-5]
Hypothetical Syllogism:
If [8], then [10].
If [10], then [9].
Therefore, If [8], then [9]..
[SC2-3]
Modus Ponens:
If [5], then (If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then (Not [4].).).
[5]
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then (Not [4].)..
|
{0: 'Children are naturally dependent upon their parents.', 1: 'Platypuses have (part) cytoplasm.', 2: 'Pests are opportunistic species that take advantage of disruptions or changes in natural systems.', 3: 'Books are heavy and have pointed corners so they can be quite painful when they fall.', 4: 'Most people think that an aneurysm means bleeding in the brain.', 5: 'Some glove materials are more resistant to specific chemicals than others.', 6: 'Natural foods play an essential part in maintaining the good health of people of all ages.', 7: 'Orcas have (part) breasts.', 8: 'Boilers are vessels.', 9: 'Some fats are compounds of two or more differ- ent fatty acids combined with glycerol.', 10: 'Pesticides can cause sterility and cancer.'}
| 7 |
6,743 |
['It is not the case that if dodos eat fruit, then rescission is the act of the party.', "So long as it is not the case that evolution is a theory, 'sinking are decrease' is true.", 'On the condition that we know that the claim that if we know that the claim that if evolution is a theory, then the claim that fear is one of the keepers of the keys to the gates of consciousness has no merit is false, then if dodos eat fruit, then rescission is the act of the party is false, it is definitely the case that water changes from ice.', 'Assuming worker honey bees return to hives, we know that scientists usually record data in an orderly way.', "Once we know if fleas can continue to develop inside vacuum cleaner bags and re-infest the house, then most water contains gases, we also know that if we know that the claim that if we know that the claim that if evolution is a theory, then the claim that fear is one of the keepers of the keys to the gates of consciousness has no merit is false, then if dodos eat fruit, then rescission is the act of the party is false, then the statement that 'water changes from ice' is incorrect.", 'Once we know fleas can continue to develop inside vacuum cleaner bags and re-infest the house, we also know that most water contains gases.', 'Provided that it is a common misconception that if if worker honey bees return to hives, then scientists usually record data in an orderly way, then the claim that sinking are decrease does not correspond with reality, we know that young roosters begin to show colored feathers on their breasts and necks at eight weeks.', 'Once we know it is a common misconception that if if worker honey bees return to hives, then scientists usually record data in an orderly way, then the claim that sinking are decrease does not correspond with reality, we also know that those that suggest young roosters begin to show colored feathers on their breasts and necks at eight weeks are wrong.']
|
It is not the case that if dodos eat fruit, then rescission is the act of the party. So long as it is not the case that evolution is a theory, 'sinking are decrease' is true. On the condition that we know that the claim that if we know that the claim that if evolution is a theory, then the claim that fear is one of the keepers of the keys to the gates of consciousness has no merit is false, then if dodos eat fruit, then rescission is the act of the party is false, it is definitely the case that water changes from ice. Assuming worker honey bees return to hives, we know that scientists usually record data in an orderly way. Once we know if fleas can continue to develop inside vacuum cleaner bags and re-infest the house, then most water contains gases, we also know that if we know that the claim that if we know that the claim that if evolution is a theory, then the claim that fear is one of the keepers of the keys to the gates of consciousness has no merit is false, then if dodos eat fruit, then rescission is the act of the party is false, then the statement that 'water changes from ice' is incorrect. Once we know fleas can continue to develop inside vacuum cleaner bags and re-infest the house, we also know that most water contains gases. Provided that it is a common misconception that if if worker honey bees return to hives, then scientists usually record data in an orderly way, then the claim that sinking are decrease does not correspond with reality, we know that young roosters begin to show colored feathers on their breasts and necks at eight weeks. Once we know it is a common misconception that if if worker honey bees return to hives, then scientists usually record data in an orderly way, then the claim that sinking are decrease does not correspond with reality, we also know that those that suggest young roosters begin to show colored feathers on their breasts and necks at eight weeks are wrong.
|
The claim that fear is one of the keepers of the keys to the gates of consciousness has no merit.
|
It is reasonable to believe that fear is one of the keepers of the keys to the gates of consciousness.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then (If [3], then [4].).).), then [7].
If (Not (If (Not (If [1], then (Not [0].).).), then (If [3], then [4].).).), then (Not [7].). [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then (If [3], then [4].)..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (If (Not (If (Not (If [1], then (Not [0].).).), then (If [3], then [4].).).), then (Not [7].).).
If [8], then [9].
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then (If [3], then [4].).).), then (Not [7].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If (If [5], then [6].), then (Not [2].). [SC1-3]
If [5], then [6].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (Not [2].).).), then [10].
If (Not (If (If [5], then [6].), then (Not [2].).).), then (Not [10].).
Therefore, If (If [5], then [6].), then (Not [2].)..
|
{0: 'Fear is one of the keepers of the keys to the gates of consciousness.', 1: 'Evolution is a theory.', 2: 'Sinking are decrease.', 3: 'Dodos eat fruit.', 4: 'Rescission is the act of the party.', 5: 'Worker honey bees return to hives.', 6: 'Scientists usually record data in an orderly way.', 7: 'Water changes from ice.', 8: 'Fleas can continue to develop inside vacuum cleaner bags and re-infest the house.', 9: 'Most water contains gases.', 10: 'Young roosters begin to show colored feathers on their breasts and necks at eight weeks.'}
| 7 |
6,093 |
['Should it be the case that the claim that production cost is cost does not correspond with reality, it follows that oregano comes from the labiate family like basil.', 'Should it be the case that oregano comes from the labiate family like basil, it follows that agate comes in most colors.', 'It is not the case that earthworms aerate the soil by channeling through it, thereby improving drainage.', 'At least one of two things is true: banana is another fruit which is effective during the menstruation period, or some mites transmit diseases.', 'Provided that we know that the claim that if banana is another fruit which is effective during the menstruation period, then earthworms aerate the soil by channeling through it, thereby improving drainage is false, we know that the statement that states either hormones are secreted by sex organs or information technology has much to offer certain aspects of health care is false.', 'On the condition that some mites transmit diseases, it is definitely the case that protists function as sources of food for organisms on land and sea.', "Whenever it is true that protists function as sources of food for organisms on land and sea, 'if oregano comes from the labiate family like basil, then the claim that agate comes in most colors does not correspond with reality' is true.", 'Assuming occultations occur when a satellite moves behind Jupiter as seen from the Earth, we know that if we know that the claim that if banana is another fruit which is effective during the menstruation period, then earthworms aerate the soil by channeling through it, thereby improving drainage is false, then either hormones are secreted by sex organs or information technology has much to offer certain aspects of health care.', 'The idea that occultations occur when a satellite moves behind Jupiter as seen from the Earth is true.']
|
Should it be the case that the claim that production cost is cost does not correspond with reality, it follows that oregano comes from the labiate family like basil. Should it be the case that oregano comes from the labiate family like basil, it follows that agate comes in most colors. It is not the case that earthworms aerate the soil by channeling through it, thereby improving drainage. At least one of two things is true: banana is another fruit which is effective during the menstruation period, or some mites transmit diseases. Provided that we know that the claim that if banana is another fruit which is effective during the menstruation period, then earthworms aerate the soil by channeling through it, thereby improving drainage is false, we know that the statement that states either hormones are secreted by sex organs or information technology has much to offer certain aspects of health care is false. On the condition that some mites transmit diseases, it is definitely the case that protists function as sources of food for organisms on land and sea. Whenever it is true that protists function as sources of food for organisms on land and sea, 'if oregano comes from the labiate family like basil, then the claim that agate comes in most colors does not correspond with reality' is true. Assuming occultations occur when a satellite moves behind Jupiter as seen from the Earth, we know that if we know that the claim that if banana is another fruit which is effective during the menstruation period, then earthworms aerate the soil by channeling through it, thereby improving drainage is false, then either hormones are secreted by sex organs or information technology has much to offer certain aspects of health care. The idea that occultations occur when a satellite moves behind Jupiter as seen from the Earth is true.
|
production cost is cost.
|
Production cost is cost.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [1], then (Not [2].).). [SC1-3]
Not [3].
Therefore, If [1], then (Not [2].)..
[SC1-3]
Constructive Dilemma:
Either [4] or [5].
If [4], then [3]. [SC2-4]
If [5], then (If [1], then (Not [2].).). [SC3-4]
Therefore, Either [3] or (If [1], then (Not [2].).)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [4], then [3].).), then (Either [6] or [7].). [SC1-5]
If (Not (If [4], then [3].).), then (Not (Either [6] or [7].).).
Therefore, If [4], then [3]..
[SC1-5]
Modus Ponens:
If [9], then (If (Not (If [4], then [3].).), then (Either [6] or [7].).).
[9]
Therefore, If (Not (If [4], then [3].).), then (Either [6] or [7].)..
[SC3-4]
Hypothetical Syllogism:
If [5], then [8].
If [8], then (If [1], then (Not [2].).).
Therefore, If [5], then (If [1], then (Not [2].).)..
|
{0: 'Production cost is cost.', 1: 'Oregano comes from the labiate family like basil.', 2: 'Agate comes in most colors.', 3: 'Earthworms aerate the soil by channeling through it, thereby improving drainage.', 4: 'Banana is another fruit which is effective during the menstruation period.', 5: 'Some mites transmit diseases.', 6: 'Hormones are secreted by sex organs.', 7: 'Information technology has much to offer certain aspects of health care.', 8: 'Protists function as sources of food for organisms on land and sea.', 9: 'Occultations occur when a satellite moves behind Jupiter as seen from the Earth.'}
| 7 |
6,433 |
["We know that at least one of two things is true: if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, or either prednisone is a cortisone-like medication that is taken for several reasons or white people are the oppressors of minority communities and cultures.", 'Should it be the case that either prednisone is a cortisone-like medication that is taken for several reasons or white people are the oppressors of minority communities and cultures, it follows that the statement, fruit fly fauna in Solomon Islands, does not hold.', "Should it be the case that it is a common misconception that if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then the claim that children are also special victims of violence is false, it follows that smoking is the chief avoidable cause of death and disease.", 'The statement that states smoking is the chief avoidable cause of death and disease is false.', "If the notion that 'if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then brazil is a country that has a good intellectual base and a good industrial base' is untrue, then cattle use their long tail to keep insects off their back.", "The statement that 'cattle use their long tail to keep insects off their back' is incorrect.", 'Provided that diets consist of shrub plants, we know that it is not true that brazil is a country that has a good intellectual base and a good industrial base.', 'We know that either many ions are colourless or aphids have (part) cytoplasm.', "Once we know many ions are colourless, we also know that if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then diets consist of shrub plants.", "Assuming aphids have (part) cytoplasm, we know that if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then diets consist of shrub plants."]
|
We know that at least one of two things is true: if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, or either prednisone is a cortisone-like medication that is taken for several reasons or white people are the oppressors of minority communities and cultures. Should it be the case that either prednisone is a cortisone-like medication that is taken for several reasons or white people are the oppressors of minority communities and cultures, it follows that the statement, fruit fly fauna in Solomon Islands, does not hold. Should it be the case that it is a common misconception that if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then the claim that children are also special victims of violence is false, it follows that smoking is the chief avoidable cause of death and disease. The statement that states smoking is the chief avoidable cause of death and disease is false. If the notion that 'if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then brazil is a country that has a good intellectual base and a good industrial base' is untrue, then cattle use their long tail to keep insects off their back. The statement that 'cattle use their long tail to keep insects off their back' is incorrect. Provided that diets consist of shrub plants, we know that it is not true that brazil is a country that has a good intellectual base and a good industrial base. We know that either many ions are colourless or aphids have (part) cytoplasm. Once we know many ions are colourless, we also know that if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then diets consist of shrub plants. Assuming aphids have (part) cytoplasm, we know that if the statement that 'if the claim that if if fish is also an important part of one's diet, then crabs are skilled at scavenging for food, then the statement, fruit fly fauna in Solomon Islands, does not hold does not correspond with reality, then children are also special victims of violence' is incorrect, then diets consist of shrub plants.
|
The statement, fruit fly fauna in Solomon Islands, does not hold.
|
The statement that 'fruit surrounds seeds' is incorrect.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or (Either [3] or [4].).
If (If [1], then [2].), then (Not [0].). [SC2-1]
If (Either [3] or [4].), then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [5]. [SC1-2]
If (Not (If (If [1], then [2].), then (Not [0].).).), then (Not [5].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [6]. [SC1-3]
If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then (Not [6].). [SC2-3]
Therefore, If (Not (If (If [1], then [2].), then (Not [0].).).), then [5]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [6].).), then [9].
Not [9].
Therefore, If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [6]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [8]. [SC1-4]
If [8], then (Not [6].).
Therefore, If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then (Not [6].)..
[SC1-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [8].).
If [11], then (If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [8].).
Therefore, If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then [5].).), then [8]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (If [1], then [2].), then (Not [0].).).), then (Not [5].).).), then [7].
Not [7].
Therefore, If (Not (If (If [1], then [2].), then (Not [0].).).), then (Not [5].)..
|
{0: 'Fruit fly fauna in Solomon Islands.', 1: "Fish is also an important part of one's diet.", 2: 'Crabs are skilled at scavenging for food.', 3: 'Prednisone is a cortisone-like medication that is taken for several reasons.', 4: 'White people are the oppressors of minority communities and cultures.', 5: 'Children are also special victims of violence.', 6: 'Brazil is a country that has a good intellectual base and a good industrial base.', 7: 'Smoking is the chief avoidable cause of death and disease.', 8: 'Diets consist of shrub plants.', 9: 'Cattle use their long tail to keep insects off their back.', 10: 'Many ions are colourless.', 11: 'Aphids have (part) cytoplasm.'}
| 7 |
6,083 |
['When it is a common misconception that if llano County is a region of rugged beauty and historic significance, then if aldose reductase is involved in diabetic complications, then catapults use weights and levers to send the rocks or other things into the air is true, it follows that the claim that interdependence is when one animal depends on an other for life and survival is false.', 'Assuming the claim that llano County is a region of rugged beauty and historic significance does not reflect reality, we know that case management is one approach to generalist practice.', 'The claim that case management is one approach to generalist practice does not reflect reality.', 'When either hinge regions have additional properties or some spines emerge from dorsal surfaces is true, it follows that if it is a common misconception that if llano County is a region of rugged beauty and historic significance, then if aldose reductase is involved in diabetic complications, then catapults use weights and levers to send the rocks or other things into the air, then interdependence is when one animal depends on an other for life and survival.', "So long as the notion that 'stinkpots are also fairly aggressive when restrained' is untrue, 'most whip scorpions occur in habitats' is true.", "Provided that the notion that 'stinkpots are also fairly aggressive when restrained' is untrue, we know that it is not true that most whip scorpions occur in habitats.", "Whenever it is true that periodontal disease can, however, progress slowly without any visible signs or symptoms, 'if stinkpots are also fairly aggressive when restrained, then either hinge regions have additional properties or some spines emerge from dorsal surfaces' is true.", 'It is reasonable to believe that periodontal disease can, however, progress slowly without any visible signs or symptoms.']
|
When it is a common misconception that if llano County is a region of rugged beauty and historic significance, then if aldose reductase is involved in diabetic complications, then catapults use weights and levers to send the rocks or other things into the air is true, it follows that the claim that interdependence is when one animal depends on an other for life and survival is false. Assuming the claim that llano County is a region of rugged beauty and historic significance does not reflect reality, we know that case management is one approach to generalist practice. The claim that case management is one approach to generalist practice does not reflect reality. When either hinge regions have additional properties or some spines emerge from dorsal surfaces is true, it follows that if it is a common misconception that if llano County is a region of rugged beauty and historic significance, then if aldose reductase is involved in diabetic complications, then catapults use weights and levers to send the rocks or other things into the air, then interdependence is when one animal depends on an other for life and survival. So long as the notion that 'stinkpots are also fairly aggressive when restrained' is untrue, 'most whip scorpions occur in habitats' is true. Provided that the notion that 'stinkpots are also fairly aggressive when restrained' is untrue, we know that it is not true that most whip scorpions occur in habitats. Whenever it is true that periodontal disease can, however, progress slowly without any visible signs or symptoms, 'if stinkpots are also fairly aggressive when restrained, then either hinge regions have additional properties or some spines emerge from dorsal surfaces' is true. It is reasonable to believe that periodontal disease can, however, progress slowly without any visible signs or symptoms.
|
Given that aldose reductase is involved in diabetic complications, it can be inferred that catapults use weights and levers to send the rocks or other things into the air.
|
On the condition that humans are primates, it is definitely the case that catapults use weights and levers to send the rocks or other things into the air.
|
Uncertain
|
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 [3]. [SC1-2]
If (Not (If [2], then (If [0], then [1].).).), then (Not [3].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If [2], then (If [0], then [1].).).), then [3].). [SC1-3]
[5] [SC2-3]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [3]..
[SC1-3]
Hypothetical Syllogism:
If [5], then (Either [7] or [8].). [SC1-4]
If (Either [7] or [8].), then (If (Not (If [2], then (If [0], then [1].).).), then [3].).
Therefore, If [5], then (If (Not (If [2], then (If [0], then [1].).).), then [3].)..
[SC1-4]
Modus Ponens:
If [9], then (If [5], then (Either [7] or [8].).).
[9]
Therefore, If [5], then (Either [7] or [8].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [5].), then [6].
If (Not [5].), then (Not [6].).
Therefore, [5].
[SC2-1]
Modus Tonens:
If (Not [2].), then [4].
Not [4].
Therefore, [2].
|
{0: 'Aldose reductase is involved in diabetic complications.', 1: 'Catapults use weights and levers to send the rocks or other things into the air.', 2: 'Llano County is a region of rugged beauty and historic significance.', 3: 'Interdependence is when one animal depends on an other for life and survival.', 4: 'Case management is one approach to generalist practice.', 5: 'Stinkpots are also fairly aggressive when restrained.', 6: 'Most whip scorpions occur in habitats.', 7: 'Hinge regions have additional properties.', 8: 'Some spines emerge from dorsal surfaces.', 9: 'Periodontal disease can, however, progress slowly without any visible signs or symptoms.'}
| 7 |
6,843 |
['There is good reason to believe that either particles move at random angles in all directions, arbitrarily bouncing into various energy states or either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors.', 'We know that at least one of two things is true: most doctors specialize in care, or dCEP stars are present in open clusters.', "Should it be the case that most doctors specialize in care, it follows that if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then monkey bread is part of baobabs.", "Assuming dCEP stars are present in open clusters, we know that if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then monkey bread is part of baobabs.", "If water is the basic element in all life forms, then if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then the claim that monkey bread is part of baobabs is false.", 'The statement that states water is the basic element in all life forms is right.', 'Either one or both of these statements are true: dystrophic calcification occurs as a result of tissue injury and necrosis, or balconies are located in theaters.', 'Given that balconies are located in theaters, it can be inferred that it is not true that particles move at random angles in all directions, arbitrarily bouncing into various energy states.', 'Provided that dystrophic calcification occurs as a result of tissue injury and necrosis, we know that glazed carrots cook very well in a microwave.', 'Provided that glazed carrots cook very well in a microwave, we know that it is not true that particles move at random angles in all directions, arbitrarily bouncing into various energy states.']
|
There is good reason to believe that either particles move at random angles in all directions, arbitrarily bouncing into various energy states or either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors. We know that at least one of two things is true: most doctors specialize in care, or dCEP stars are present in open clusters. Should it be the case that most doctors specialize in care, it follows that if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then monkey bread is part of baobabs. Assuming dCEP stars are present in open clusters, we know that if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then monkey bread is part of baobabs. If water is the basic element in all life forms, then if the statement that 'if either invasive melanoma is the sixth most common cancer in men and women or some waste heat is generated by electric motors, then smoking is a leisure activity and in a free society consumers decide for themselves' is incorrect, then the claim that monkey bread is part of baobabs is false. The statement that states water is the basic element in all life forms is right. Either one or both of these statements are true: dystrophic calcification occurs as a result of tissue injury and necrosis, or balconies are located in theaters. Given that balconies are located in theaters, it can be inferred that it is not true that particles move at random angles in all directions, arbitrarily bouncing into various energy states. Provided that dystrophic calcification occurs as a result of tissue injury and necrosis, we know that glazed carrots cook very well in a microwave. Provided that glazed carrots cook very well in a microwave, we know that it is not true that particles move at random angles in all directions, arbitrarily bouncing into various energy states.
|
smoking is a leisure activity and in a free society consumers decide for themselves.
|
Smoking is a way to lose weight for some kids.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [3]. [SC1-2]
If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].). [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].).
If [8], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].).
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [3]..
[SC2-2]
Modus Ponens:
If [9], then (If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].).).
[9]
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or [2].).
Not [4]. [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].). [SC2-3]
If [6], then (Not [4].).
Therefore, Not [4]..
[SC2-3]
Hypothetical Syllogism:
If [5], then [10].
If [10], then (Not [4].).
Therefore, If [5], then (Not [4].)..
|
{0: 'Smoking is a leisure activity and in a free society consumers decide for themselves.', 1: 'Invasive melanoma is the sixth most common cancer in men and women.', 2: 'Some waste heat is generated by electric motors.', 3: 'Monkey bread is part of baobabs.', 4: 'Particles move at random angles in all directions, arbitrarily bouncing into various energy states.', 5: 'Dystrophic calcification occurs as a result of tissue injury and necrosis.', 6: 'Balconies are located in theaters.', 7: 'Most doctors specialize in care.', 8: 'DCEP stars are present in open clusters.', 9: 'Water is the basic element in all life forms.', 10: 'Glazed carrots cook very well in a microwave.'}
| 7 |
6,914 |
['If bytes are important because they are the main practical unit of information that a computer handles, then some food contributes to term health problems.', "So long as radium is a metal that is found in nature, 'if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then workers acquire skills' is true.", 'We know that either addiction is a very common fear of people who take narcotics for pain relief or superconductivity is the property of some materials to conduct electricity without resistance.', 'On the condition that addiction is a very common fear of people who take narcotics for pain relief, it is definitely the case that if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then the claim that workers acquire skills does not reflect reality.', 'Once we know superconductivity is the property of some materials to conduct electricity without resistance, we also know that if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then the claim that workers acquire skills does not reflect reality.', 'Either one or both of these statements are true: internet based software improves efficiency, organization and productivity, or either climates drive growth or funguses are located in gardens.', 'On the condition that internet based software improves efficiency, organization and productivity, it is definitely the case that bytes are important because they are the main practical unit of information that a computer handles.', 'Assuming either climates drive growth or funguses are located in gardens, we know that bytes are important because they are the main practical unit of information that a computer handles.', "Provided that the statement that 'radium is a metal that is found in nature' is incorrect, we know that water is the universal solvent and therefore carries all types of dissolved materials.", 'Some people mistakenly believe that water is the universal solvent and therefore carries all types of dissolved materials.']
|
If bytes are important because they are the main practical unit of information that a computer handles, then some food contributes to term health problems. So long as radium is a metal that is found in nature, 'if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then workers acquire skills' is true. We know that either addiction is a very common fear of people who take narcotics for pain relief or superconductivity is the property of some materials to conduct electricity without resistance. On the condition that addiction is a very common fear of people who take narcotics for pain relief, it is definitely the case that if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then the claim that workers acquire skills does not reflect reality. Once we know superconductivity is the property of some materials to conduct electricity without resistance, we also know that if we know that the claim that if some food contributes to term health problems, then it is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa is false, then the claim that workers acquire skills does not reflect reality. Either one or both of these statements are true: internet based software improves efficiency, organization and productivity, or either climates drive growth or funguses are located in gardens. On the condition that internet based software improves efficiency, organization and productivity, it is definitely the case that bytes are important because they are the main practical unit of information that a computer handles. Assuming either climates drive growth or funguses are located in gardens, we know that bytes are important because they are the main practical unit of information that a computer handles. Provided that the statement that 'radium is a metal that is found in nature' is incorrect, we know that water is the universal solvent and therefore carries all types of dissolved materials. Some people mistakenly believe that water is the universal solvent and therefore carries all types of dissolved materials.
|
It is not true that adenoviruses can infect man via the conjunctiva or the nasal mucosa.
|
The statement 'adenoviruses can also cause viral meningitis and other neurologic infections' can be considered false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [3]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [3].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [9], then (If (Not (If [1], then (Not [0].).).), then [3].).
[9] [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then [3]..
[SC2-3]
Modus Tonens:
If (Not [9].), then [10].
Not [10].
Therefore, [9].
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not (If [1], then (Not [0].).).), then (Not [3].).).
If [5], then (If (Not (If [1], then (Not [0].).).), then (Not [3].).).
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [3].)..
[SC2-1]
Modus Ponens:
If [2], then [1].
[2] [SC2-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then [2].
If (Either [7] or [8].), then [2].
Therefore, [2].
|
{0: 'Adenoviruses can infect man via the conjunctiva or the nasal mucosa.', 1: 'Some food contributes to term health problems.', 2: 'Bytes are important because they are the main practical unit of information that a computer handles.', 3: 'Workers acquire skills.', 4: 'Addiction is a very common fear of people who take narcotics for pain relief.', 5: 'Superconductivity is the property of some materials to conduct electricity without resistance.', 6: 'Internet based software improves efficiency, organization and productivity.', 7: 'Climates drive growth.', 8: 'Funguses are located in gardens.', 9: 'Radium is a metal that is found in nature.', 10: 'Water is the universal solvent and therefore carries all types of dissolved materials.'}
| 7 |
6,657 |
['On the condition that either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated, it is definitely the case that people interpret physical sensations within a specific context.', 'Assuming stowaways are part of the normal life of seafarers, we know that people interpret physical sensations within a specific context.', 'We know that at least one of two things is true: worm gears allow a large speed reduction and are used extensively in larger trucks, or if coral reefs are part of a larger ecosystem that also includes mangroves and seagrass beds, then finance is about how money is raised, how money is managed and how money is spent.', 'On the condition that worm gears allow a large speed reduction and are used extensively in larger trucks, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then echocardiographic images function as a universal language to communicate about heart diseases.', 'On the condition that if coral reefs are part of a larger ecosystem that also includes mangroves and seagrass beds, then finance is about how money is raised, how money is managed and how money is spent, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then echocardiographic images function as a universal language to communicate about heart diseases.', 'On the condition that most nuclear energy has harmful effects, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then some people mistakenly believe that echocardiographic images function as a universal language to communicate about heart diseases.', 'One may reasonably assume that if the claim that most nuclear energy has harmful effects is false, then most birds eat bugs.', "Should it be the case that bananas are very good for indigestion or diarrhea, it follows that the statement that 'most birds eat bugs' is incorrect.", 'It is rational to believe that either dilators also help women learn to relax the vaginal muscles or information geometry elucidates the geometric structure on the space of all distributions.', "So long as dilators also help women learn to relax the vaginal muscles, 'bananas are very good for indigestion or diarrhea' is true.", 'If information geometry elucidates the geometric structure on the space of all distributions, then bananas are very good for indigestion or diarrhea.']
|
On the condition that either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated, it is definitely the case that people interpret physical sensations within a specific context. Assuming stowaways are part of the normal life of seafarers, we know that people interpret physical sensations within a specific context. We know that at least one of two things is true: worm gears allow a large speed reduction and are used extensively in larger trucks, or if coral reefs are part of a larger ecosystem that also includes mangroves and seagrass beds, then finance is about how money is raised, how money is managed and how money is spent. On the condition that worm gears allow a large speed reduction and are used extensively in larger trucks, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then echocardiographic images function as a universal language to communicate about heart diseases. On the condition that if coral reefs are part of a larger ecosystem that also includes mangroves and seagrass beds, then finance is about how money is raised, how money is managed and how money is spent, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then echocardiographic images function as a universal language to communicate about heart diseases. On the condition that most nuclear energy has harmful effects, it is definitely the case that if the claim that either either ore mineralogy is complex or addiction is the land of compulsive urges that are repeated, and repeated or stowaways are part of the normal life of seafarers is false, then some people mistakenly believe that echocardiographic images function as a universal language to communicate about heart diseases. One may reasonably assume that if the claim that most nuclear energy has harmful effects is false, then most birds eat bugs. Should it be the case that bananas are very good for indigestion or diarrhea, it follows that the statement that 'most birds eat bugs' is incorrect. It is rational to believe that either dilators also help women learn to relax the vaginal muscles or information geometry elucidates the geometric structure on the space of all distributions. So long as dilators also help women learn to relax the vaginal muscles, 'bananas are very good for indigestion or diarrhea' is true. If information geometry elucidates the geometric structure on the space of all distributions, then bananas are very good for indigestion or diarrhea.
|
people interpret physical sensations within a specific context.
|
The statement, people interpret physical sensations within a specific context, does not hold.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0].
If [3], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [3].).), then [4]. [SC1-2]
If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].). [SC2-2]
Therefore, Either (Either [1] or [2].) or [3]..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If (Not (Either (Either [1] or [2].) or [3].).), then [4].).
If (If [6], then [7].), then (If (Not (Either (Either [1] or [2].) or [3].).), then [4].).
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then [4]..
[SC2-2]
Modus Ponens:
If [8], then (If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].).).
[8] [SC2-3]
Therefore, If (Not (Either (Either [1] or [2].) or [3].).), then (Not [4].)..
[SC2-3]
Modus Tonens:
If (Not [8].), then [9].
Not [9]. [SC2-4]
Therefore, [8].
[SC2-4]
Modus Ponens:
If [10], then (Not [9].).
[10] [SC2-5]
Therefore, Not [9]..
[SC2-5]
Disjunction Elimination:
Either [11] or [12].
If [11], then [10].
If [12], then [10].
Therefore, [10].
|
{0: 'People interpret physical sensations within a specific context.', 1: 'Ore mineralogy is complex.', 2: 'Addiction is the land of compulsive urges that are repeated, and repeated.', 3: 'Stowaways are part of the normal life of seafarers.', 4: 'Echocardiographic images function as a universal language to communicate about heart diseases.', 5: 'Worm gears allow a large speed reduction and are used extensively in larger trucks.', 6: 'Coral reefs are part of a larger ecosystem that also includes mangroves and seagrass beds.', 7: 'Finance is about how money is raised, how money is managed and how money is spent.', 8: 'Most nuclear energy has harmful effects.', 9: 'Most birds eat bugs.', 10: 'Bananas are very good for indigestion or diarrhea.', 11: 'Dilators also help women learn to relax the vaginal muscles.', 12: 'Information geometry elucidates the geometric structure on the space of all distributions.'}
| 7 |
6,414 |
['On the condition that hummingbirds have long beaks, it is definitely the case that gold is warm, and silver is cooler.', 'Either one or both of these statements are true: some wax comes from bees, or cowards live their deaths many times in their minds before they die.', 'Assuming some wax comes from bees, we know that if it is not true that if gold is warm, and silver is cooler, then european polecats emit secretion, then bigotry is wrongs.', 'Provided that cowards live their deaths many times in their minds before they die, we know that if it is not true that if gold is warm, and silver is cooler, then european polecats emit secretion, then bigotry is wrongs.', 'Provided that bigotry is wrongs, we know that defamation consists of a published false statement intending to harm the reputation of another.', 'Provided that bigotry is wrongs, we know that it is a common misconception that defamation consists of a published false statement intending to harm the reputation of another.', 'Should it be the case that money works as a means of the socio-normative regulation of the economic life, it follows that either all forms of energy are associated with motion or hummingbirds have long beaks.', "The statement 'money works as a means of the socio-normative regulation of the economic life' is true.", 'It is rational to believe that either ferric chloride is a screening test for phenylketones or alcohol gives energy faster than any food.', 'Assuming ferric chloride is a screening test for phenylketones, we know that if all forms of energy are associated with motion , then gold is warm, and silver is cooler.', 'Provided that alcohol gives energy faster than any food, we know that if all forms of energy are associated with motion , then gold is warm, and silver is cooler.']
|
On the condition that hummingbirds have long beaks, it is definitely the case that gold is warm, and silver is cooler. Either one or both of these statements are true: some wax comes from bees, or cowards live their deaths many times in their minds before they die. Assuming some wax comes from bees, we know that if it is not true that if gold is warm, and silver is cooler, then european polecats emit secretion, then bigotry is wrongs. Provided that cowards live their deaths many times in their minds before they die, we know that if it is not true that if gold is warm, and silver is cooler, then european polecats emit secretion, then bigotry is wrongs. Provided that bigotry is wrongs, we know that defamation consists of a published false statement intending to harm the reputation of another. Provided that bigotry is wrongs, we know that it is a common misconception that defamation consists of a published false statement intending to harm the reputation of another. Should it be the case that money works as a means of the socio-normative regulation of the economic life, it follows that either all forms of energy are associated with motion or hummingbirds have long beaks. The statement 'money works as a means of the socio-normative regulation of the economic life' is true. It is rational to believe that either ferric chloride is a screening test for phenylketones or alcohol gives energy faster than any food. Assuming ferric chloride is a screening test for phenylketones, we know that if all forms of energy are associated with motion , then gold is warm, and silver is cooler. Provided that alcohol gives energy faster than any food, we know that if all forms of energy are associated with motion , then gold is warm, and silver is cooler.
|
Many people rightly believe that european polecats emit secretion.
|
It is a common misconception that european polecats emit secretion.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then [0].).), then [2].).
If [7], then (If (Not (If [1], then [0].).), then [2].).
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [8].
If [2], then (Not [8].).
Therefore, Not [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then [1]. [SC2-2]
If [4], then [1].
Therefore, [1].
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5]
Therefore, Either [3] or [4]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [3], then [1].).
If [10], then (If [3], then [1].).
Therefore, If [3], then [1]..
|
{0: 'European polecats emit secretion.', 1: 'Gold is warm, and silver is cooler.', 2: 'Bigotry is wrongs.', 3: 'All forms of energy are associated with motion .', 4: 'Hummingbirds have long beaks.', 5: 'Money works as a means of the socio-normative regulation of the economic life.', 6: 'Some wax comes from bees.', 7: 'Cowards live their deaths many times in their minds before they die.', 8: 'Defamation consists of a published false statement intending to harm the reputation of another.', 9: 'Ferric chloride is a screening test for phenylketones.', 10: 'Alcohol gives energy faster than any food.'}
| 7 |
6,662 |
['We know that either either a relic is antiquity or austrian monks develop principles or logos are Trademarks of their respective companies.', 'When logos are Trademarks of their respective companies is true, it follows that either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body.', 'There is good reason to believe that either manatees depend on food or dolphins produce a very powerful clicking sound.', "Assuming manatees depend on food, we know that the notion that 'common arachnids are the spider, scorpions, ticks and mites' is untrue.", "Should it be the case that dolphins produce a very powerful clicking sound, it follows that the notion that 'common arachnids are the spider, scorpions, ticks and mites' is untrue.", "The statement 'if fatal crashes involve cars, then organisms carry two alleles for every trait' can be considered false.", "Whenever it is true that the claim that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then wind is the element used in moving things and breaking is false, 'bruisers have (part) legs' is true.", 'Given that the claim that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then wind is the element used in moving things and breaking is false, it can be inferred that it is not the case that bruisers have (part) legs.', 'We know that at least one of two things is true: fragmentation causes problems, or chickadees are a constant visitor to feeding stations, often feeding upside down.', 'Should it be the case that fragmentation causes problems, it follows that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then the statement that states wind is the element used in moving things and breaking is false.', "So long as chickadees are a constant visitor to feeding stations, often feeding upside down, 'if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then the statement that states wind is the element used in moving things and breaking is false' is true."]
|
We know that either either a relic is antiquity or austrian monks develop principles or logos are Trademarks of their respective companies. When logos are Trademarks of their respective companies is true, it follows that either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body. There is good reason to believe that either manatees depend on food or dolphins produce a very powerful clicking sound. Assuming manatees depend on food, we know that the notion that 'common arachnids are the spider, scorpions, ticks and mites' is untrue. Should it be the case that dolphins produce a very powerful clicking sound, it follows that the notion that 'common arachnids are the spider, scorpions, ticks and mites' is untrue. The statement 'if fatal crashes involve cars, then organisms carry two alleles for every trait' can be considered false. Whenever it is true that the claim that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then wind is the element used in moving things and breaking is false, 'bruisers have (part) legs' is true. Given that the claim that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then wind is the element used in moving things and breaking is false, it can be inferred that it is not the case that bruisers have (part) legs. We know that at least one of two things is true: fragmentation causes problems, or chickadees are a constant visitor to feeding stations, often feeding upside down. Should it be the case that fragmentation causes problems, it follows that if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then the statement that states wind is the element used in moving things and breaking is false. So long as chickadees are a constant visitor to feeding stations, often feeding upside down, 'if it is not the case that either if fatal crashes involve cars, then organisms carry two alleles for every trait or if either a relic is antiquity or austrian monks develop principles, then either common arachnids are the spider, scorpions, ticks and mites or some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body, then the statement that states wind is the element used in moving things and breaking is false' is true.
|
Some people mistakenly believe that studies have shown minerals in solution are more absorbable to the body.
|
Those that suggest studies have shown minerals in solution are more absorbable to the body are right.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (Either [1] or (Not [0].).). [SC2-2]
If [4], then (Either [1] or (Not [0].).).
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).). [SC1-3]
Not (If [7], then [8].).
Therefore, If (Either [2] or [3].), then (Either [1] or (Not [0].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then [9]. [SC1-4]
If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then (Not [9].). [SC2-4]
Therefore, Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then [9].).), then [10].
If (Not (If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then [9].).), then (Not [10].).
Therefore, If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then [9]..
[SC2-4]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then (Not [9].).).
If [12], then (If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then (Not [9].).).
Therefore, If (Not (Either (If [7], then [8].) or (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).).), then (Not [9].)..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [1].).
If [6], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Studies have shown minerals in solution are more absorbable to the body.', 1: 'Common arachnids are the spider, scorpions, ticks and mites.', 2: 'A relic is antiquity.', 3: 'Austrian monks develop principles.', 4: 'Logos are Trademarks of their respective companies.', 5: 'Manatees depend on food.', 6: 'Dolphins produce a very powerful clicking sound.', 7: 'Fatal crashes involve cars.', 8: 'Organisms carry two alleles for every trait.', 9: 'Wind is the element used in moving things and breaking.', 10: 'Bruisers have (part) legs.', 11: 'Fragmentation causes problems.', 12: 'Chickadees are a constant visitor to feeding stations, often feeding upside down.'}
| 7 |
6,978 |
['Should it be the case that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily, it follows that high cholesterol can be a cause of heart attack and stroke.', 'Once we know the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, we also know that it is a common misconception that imagination is also a form of mental involvement.', "So long as the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then liverworts have the simplest bodies of all the green plants' is untrue, 'if tsetse flies breed slowly, then pepper weevils complete one or two generations on black nightshade weeds in early spring' is true.", "Given that the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then liverworts have the simplest bodies of all the green plants' is untrue, it can be inferred that those that suggest if tsetse flies breed slowly, then pepper weevils complete one or two generations on black nightshade weeds in early spring are wrong.", 'Those that suggest if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight are wrong.', 'The claim that plebiscites are the way to hand government over to the elite with the deepest pockets does not correspond with reality.', "So long as the statement 'either plebiscites are the way to hand government over to the elite with the deepest pockets or if the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then some people mistakenly believe that liverworts have the simplest bodies of all the green plants' is untrue, then if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight' can be considered false, 'rationality is a key value in the management of health systems' is true.", "Once we know the statement 'either plebiscites are the way to hand government over to the elite with the deepest pockets or if the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then some people mistakenly believe that liverworts have the simplest bodies of all the green plants' is untrue, then if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight' can be considered false, we also know that we know that the claim that rationality is a key value in the management of health systems is false."]
|
Should it be the case that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily, it follows that high cholesterol can be a cause of heart attack and stroke. Once we know the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, we also know that it is a common misconception that imagination is also a form of mental involvement. So long as the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then liverworts have the simplest bodies of all the green plants' is untrue, 'if tsetse flies breed slowly, then pepper weevils complete one or two generations on black nightshade weeds in early spring' is true. Given that the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then liverworts have the simplest bodies of all the green plants' is untrue, it can be inferred that those that suggest if tsetse flies breed slowly, then pepper weevils complete one or two generations on black nightshade weeds in early spring are wrong. Those that suggest if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight are wrong. The claim that plebiscites are the way to hand government over to the elite with the deepest pockets does not correspond with reality. So long as the statement 'either plebiscites are the way to hand government over to the elite with the deepest pockets or if the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then some people mistakenly believe that liverworts have the simplest bodies of all the green plants' is untrue, then if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight' can be considered false, 'rationality is a key value in the management of health systems' is true. Once we know the statement 'either plebiscites are the way to hand government over to the elite with the deepest pockets or if the notion that 'if the claim that if the claim that if a chemical compound is a chemical, then mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily has no merit, then imagination is also a form of mental involvement does not reflect reality, then some people mistakenly believe that liverworts have the simplest bodies of all the green plants' is untrue, then if most diseases are caused by microbial pathogen, then orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight' can be considered false, we also know that we know that the claim that rationality is a key value in the management of health systems is false.
|
The claim that high cholesterol can be a cause of heart attack and stroke holds true.
|
The claim that high cholesterol can be a cause of heart attack and stroke holds true.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then [0].
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [3]. [SC1-2]
If (Not (If [1], then [2].).), then (Not [3].).
Therefore, If [1], then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [2].).), then [3].).), then [4]. [SC1-3]
If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].). [SC2-3]
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then [4].).), then (If [5], then [6].).
If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then [4].).), then (Not (If [5], then [6].).).
Therefore, If (Not (If (Not (If [1], then [2].).), then [3].).), then [4]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].). [SC1-4]
Not (If [7], then [8].).
Therefore, If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].)..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].).). [SC1-5]
Not [9].
Therefore, If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (Either [9] or (If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].).).).), then [10].
If (Not (Either [9] or (If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].).).).), then (Not [10].).
Therefore, Either [9] or (If (Not (If (Not (If (Not (If [1], then [2].).), then [3].).), then (Not [4].).).), then (If [7], then [8].).)..
|
{0: 'High cholesterol can be a cause of heart attack and stroke.', 1: 'A chemical compound is a chemical.', 2: 'Mandarins also do well on a diet of gamebird pellets with greens and some grain fed daily.', 3: 'Imagination is also a form of mental involvement.', 4: 'Liverworts have the simplest bodies of all the green plants.', 5: 'Tsetse flies breed slowly.', 6: 'Pepper weevils complete one or two generations on black nightshade weeds in early spring.', 7: 'Most diseases are caused by microbial pathogen.', 8: 'Orangutan eyes are dark brown, an adaptation to help protect their eyes from sunlight.', 9: 'Plebiscites are the way to hand government over to the elite with the deepest pockets.', 10: 'Rationality is a key value in the management of health systems.'}
| 7 |
6,771 |
['When mice have (part) vertebrate feet is true, it follows that cereals get sugar.', "At least one of two things is true: ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked, or if mice have (part) vertebrate feet, then the statement that 'cereals get sugar' is incorrect.", 'It is a fact that either if most dolphins live in groups, then butterflies are important pollinators for many flowering plants or vitamins help functions.', 'If if most dolphins live in groups, then butterflies are important pollinators for many flowering plants, then if hair is lubricated by oil from sebaceous glands in the follicle, then it is not the case that ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked.', "So long as vitamins help functions, 'if hair is lubricated by oil from sebaceous glands in the follicle, then it is not the case that ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked' is true.", "So long as the claim that if either fire has low intensity or cities allow crime guns, then hair is lubricated by oil from sebaceous glands in the follicle does not correspond with reality, 'tiles are located in homes' is true.", 'One may reasonably assume that if the claim that if either fire has low intensity or cities allow crime guns, then hair is lubricated by oil from sebaceous glands in the follicle does not correspond with reality, then the statement that states tiles are located in homes is false.', 'Once we know mechanical vectors are insects like flies that carry pathogens outside their body, we also know that either fire has low intensity or cities allow crime guns.', 'It is rational to agree that mechanical vectors are insects like flies that carry pathogens outside their body.']
|
When mice have (part) vertebrate feet is true, it follows that cereals get sugar. At least one of two things is true: ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked, or if mice have (part) vertebrate feet, then the statement that 'cereals get sugar' is incorrect. It is a fact that either if most dolphins live in groups, then butterflies are important pollinators for many flowering plants or vitamins help functions. If if most dolphins live in groups, then butterflies are important pollinators for many flowering plants, then if hair is lubricated by oil from sebaceous glands in the follicle, then it is not the case that ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked. So long as vitamins help functions, 'if hair is lubricated by oil from sebaceous glands in the follicle, then it is not the case that ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked' is true. So long as the claim that if either fire has low intensity or cities allow crime guns, then hair is lubricated by oil from sebaceous glands in the follicle does not correspond with reality, 'tiles are located in homes' is true. One may reasonably assume that if the claim that if either fire has low intensity or cities allow crime guns, then hair is lubricated by oil from sebaceous glands in the follicle does not correspond with reality, then the statement that states tiles are located in homes is false. Once we know mechanical vectors are insects like flies that carry pathogens outside their body, we also know that either fire has low intensity or cities allow crime guns. It is rational to agree that mechanical vectors are insects like flies that carry pathogens outside their body.
|
The statement that 'mice have (part) vertebrate feet' is incorrect.
|
It is fair to say that mice have (part) vertebrate feet.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If [0], then (Not [1].).).
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (If [3], then (Not [2].).).
If [6], then (If [3], then (Not [2].).).
Therefore, If [3], then (Not [2].)..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then [3]. [SC1-4]
Either [7] or [8]. [SC2-4]
Therefore, [3].
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Either [7] or [8].), then [3].).), then [9].
If (Not (If (Either [7] or [8].), then [3].).), then (Not [9].).
Therefore, If (Either [7] or [8].), then [3]..
[SC2-4]
Modus Ponens:
If [10], then (Either [7] or [8].).
[10]
Therefore, Either [7] or [8]..
|
{0: 'Mice have (part) vertebrate feet.', 1: 'Cereals get sugar.', 2: 'Ultrasonic sensors are ideal in areas with partitions or where line of sight to sensor is blocked.', 3: 'Hair is lubricated by oil from sebaceous glands in the follicle.', 4: 'Most dolphins live in groups.', 5: 'Butterflies are important pollinators for many flowering plants.', 6: 'Vitamins help functions.', 7: 'Fire has low intensity.', 8: 'Cities allow crime guns.', 9: 'Tiles are located in homes.', 10: 'Mechanical vectors are insects like flies that carry pathogens outside their body.'}
| 7 |
6,728 |
['One may reasonably assume that if the claim that native plants are also a major element in the natural beauty for which California is famous does not reflect reality, then most animals are capable of moving relatively fast, unlike plants.', 'We know that at least one of two things is true: wildflowers abound in late spring and summer, or if specific gravity is the ratio of the density of a mineral compared to the density of water, then the statement that states most animals are capable of moving relatively fast, unlike plants is false.', 'The claim that wildflowers abound in late spring and summer is false.', 'We know that either either solutions are methods or turbidity refers to minute particles suspended in the water or if werewolves eat bodies, BUT vampires suck blood, then specific gravity is the ratio of the density of a mineral compared to the density of water.', 'Given that the statement, werewolves eat bodies, BUT vampires suck blood, does not hold, it can be inferred that most pollution leads to respiratory diseases.', 'If the statement, werewolves eat bodies, BUT vampires suck blood, does not hold, then the claim that most pollution leads to respiratory diseases does not correspond with reality.', 'We know that either skeptics are capable of doubt or insects also avoid danger by hiding.', 'When skeptics are capable of doubt is true, it follows that it is not true that either solutions are methods or turbidity refers to minute particles suspended in the water.', 'Assuming insects also avoid danger by hiding, we know that it is not true that either solutions are methods or turbidity refers to minute particles suspended in the water.']
|
One may reasonably assume that if the claim that native plants are also a major element in the natural beauty for which California is famous does not reflect reality, then most animals are capable of moving relatively fast, unlike plants. We know that at least one of two things is true: wildflowers abound in late spring and summer, or if specific gravity is the ratio of the density of a mineral compared to the density of water, then the statement that states most animals are capable of moving relatively fast, unlike plants is false. The claim that wildflowers abound in late spring and summer is false. We know that either either solutions are methods or turbidity refers to minute particles suspended in the water or if werewolves eat bodies, BUT vampires suck blood, then specific gravity is the ratio of the density of a mineral compared to the density of water. Given that the statement, werewolves eat bodies, BUT vampires suck blood, does not hold, it can be inferred that most pollution leads to respiratory diseases. If the statement, werewolves eat bodies, BUT vampires suck blood, does not hold, then the claim that most pollution leads to respiratory diseases does not correspond with reality. We know that either skeptics are capable of doubt or insects also avoid danger by hiding. When skeptics are capable of doubt is true, it follows that it is not true that either solutions are methods or turbidity refers to minute particles suspended in the water. Assuming insects also avoid danger by hiding, we know that it is not true that either solutions are methods or turbidity refers to minute particles suspended in the water.
|
Those that suggest native plants are also a major element in the natural beauty for which California is famous are right.
|
Those that suggest native plants are also a major element in the natural beauty for which California is famous are right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [1].).).
Not [3].
Therefore, If [2], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [4], then [2]. [SC1-3]
[4] [SC2-3]
Therefore, [2].
[SC1-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If [4], then [2].).
Not (Either [6] or [7].). [SC2-4]
Therefore, If [4], then [2]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not (Either [6] or [7].).).
If [9], then (Not (Either [6] or [7].).).
Therefore, Not (Either [6] or [7].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [4].), then [5].
If (Not [4].), then (Not [5].).
Therefore, [4].
|
{0: 'Native plants are also a major element in the natural beauty for which California is famous.', 1: 'Most animals are capable of moving relatively fast, unlike plants.', 2: 'Specific gravity is the ratio of the density of a mineral compared to the density of water.', 3: 'Wildflowers abound in late spring and summer.', 4: 'Werewolves eat bodies, BUT vampires suck blood.', 5: 'Most pollution leads to respiratory diseases.', 6: 'Solutions are methods.', 7: 'Turbidity refers to minute particles suspended in the water.', 8: 'Skeptics are capable of doubt.', 9: 'Insects also avoid danger by hiding.'}
| 7 |
6,911 |
['Should it be the case that the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, it follows that mutual responsibility is the loom on which the fabric of community is woven.', "So long as mutual responsibility is the loom on which the fabric of community is woven, 'animals have unique characteristics' is true.", "If nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts, then the statement 'animals have unique characteristics' can be considered false.", 'We know that at least one of two things is true: armadillos have temperature, or hyenas live in brushes.', 'Given that armadillos have temperature, it can be inferred that either meteorology is a forecasting or either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects.', 'Once we know hyenas live in brushes, we also know that either meteorology is a forecasting or either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects.', 'We know that either if automotive suppliers express interest, then some organisms lead to infection or if meteorology is a forecasting, then if the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, then nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts.', 'We know that the claim that if automotive suppliers express interest, then some organisms lead to infection is false.', 'Either some helpful bacteria live in digestive tracts or if either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects, then if the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, then nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts.', 'Those that suggest some helpful bacteria live in digestive tracts are wrong.']
|
Should it be the case that the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, it follows that mutual responsibility is the loom on which the fabric of community is woven. So long as mutual responsibility is the loom on which the fabric of community is woven, 'animals have unique characteristics' is true. If nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts, then the statement 'animals have unique characteristics' can be considered false. We know that at least one of two things is true: armadillos have temperature, or hyenas live in brushes. Given that armadillos have temperature, it can be inferred that either meteorology is a forecasting or either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects. Once we know hyenas live in brushes, we also know that either meteorology is a forecasting or either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects. We know that either if automotive suppliers express interest, then some organisms lead to infection or if meteorology is a forecasting, then if the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, then nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts. We know that the claim that if automotive suppliers express interest, then some organisms lead to infection is false. Either some helpful bacteria live in digestive tracts or if either children diagnose with attachment disorder or productivity is a bi-monthly magazine covering various aspects of productivity and related subjects, then if the statement, either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy, does not hold, then nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts. Those that suggest some helpful bacteria live in digestive tracts are wrong.
|
We know that at least one of two things is true: nodules burst and ooze serum, later hardening to form scabs, or oil is the motor engine of today s economy.
|
It is not true that either nodules burst and ooze serum, later hardening to form scabs or oil is the motor engine of today s economy.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [3].
If [3], then [2].
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [4]. [SC1-2]
If [4], then (Not [2].).
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].). [SC1-3]
If [5], then (If (Not (Either [0] or [1].).), then [4].). [SC2-3]
If (Either [6] or [7].), then (If (Not (Either [0] or [1].).), then [4].). [SC3-3]
Therefore, If (Not (Either [0] or [1].).), then [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [5] or (Either [6] or [7].).).
If [9], then (Either [5] or (Either [6] or [7].).).
Therefore, Either [5] or (Either [6] or [7].)..
[SC2-3]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If [5], then (If (Not (Either [0] or [1].).), then [4].).).
Not (If [11], then [12].).
Therefore, If [5], then (If (Not (Either [0] or [1].).), then [4].)..
[SC3-3]
Disjunctive Syllogism:
Either [10] or (If (Either [6] or [7].), then (If (Not (Either [0] or [1].).), then [4].).).
Not [10].
Therefore, If (Either [6] or [7].), then (If (Not (Either [0] or [1].).), then [4].)..
|
{0: 'Nodules burst and ooze serum, later hardening to form scabs.', 1: 'Oil is the motor engine of today s economy.', 2: 'Animals have unique characteristics.', 3: 'Mutual responsibility is the loom on which the fabric of community is woven.', 4: 'Nutrients circulating in the bloodstream can no longer reach the skin in adequate amounts.', 5: 'Meteorology is a forecasting.', 6: 'Children diagnose with attachment disorder.', 7: 'Productivity is a bi-monthly magazine covering various aspects of productivity and related subjects.', 8: 'Armadillos have temperature.', 9: 'Hyenas live in brushes.', 10: 'Some helpful bacteria live in digestive tracts.', 11: 'Automotive suppliers express interest.', 12: 'Some organisms lead to infection.'}
| 7 |
6,807 |
['On the condition that it is a common misconception that if an aquanaut is a bather, then dogs live in packs, it is definitely the case that the claim that diffusers improve the light uniformity of a display has no merit.', 'At least one of two things is true: natural selection works on the variability, or zinc deficiency is also a very rare isolated nutritional finding.', 'One may reasonably assume that if zinc deficiency is also a very rare isolated nutritional finding, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display.', 'Should it be the case that we know that the claim that if most men have testosterone levels, then an aquanaut is a bather is false, it follows that if some ammonoids swam in the sea, while others lived on the seafloor, then brazil is a relatively small importer of other meat and animal products.', 'We know that the claim that if some ammonoids swam in the sea, while others lived on the seafloor, then brazil is a relatively small importer of other meat and animal products is false.', 'It is rational to believe that either most polecats reach maturity or hypnosis enhances both the storage and retrieval of data.', 'Should it be the case that most polecats reach maturity, it follows that most men have testosterone levels.', 'Should it be the case that hypnosis enhances both the storage and retrieval of data, it follows that most men have testosterone levels.', 'When the statement that states if natural selection works on the variability, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display is false is true, it follows that different chromosomes carry different types of information.', 'When the statement that states if natural selection works on the variability, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display is false is true, it follows that the statement that states different chromosomes carry different types of information is false.']
|
On the condition that it is a common misconception that if an aquanaut is a bather, then dogs live in packs, it is definitely the case that the claim that diffusers improve the light uniformity of a display has no merit. At least one of two things is true: natural selection works on the variability, or zinc deficiency is also a very rare isolated nutritional finding. One may reasonably assume that if zinc deficiency is also a very rare isolated nutritional finding, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display. Should it be the case that we know that the claim that if most men have testosterone levels, then an aquanaut is a bather is false, it follows that if some ammonoids swam in the sea, while others lived on the seafloor, then brazil is a relatively small importer of other meat and animal products. We know that the claim that if some ammonoids swam in the sea, while others lived on the seafloor, then brazil is a relatively small importer of other meat and animal products is false. It is rational to believe that either most polecats reach maturity or hypnosis enhances both the storage and retrieval of data. Should it be the case that most polecats reach maturity, it follows that most men have testosterone levels. Should it be the case that hypnosis enhances both the storage and retrieval of data, it follows that most men have testosterone levels. When the statement that states if natural selection works on the variability, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display is false is true, it follows that different chromosomes carry different types of information. When the statement that states if natural selection works on the variability, then if it is a common misconception that if an aquanaut is a bather, then dogs live in packs, then diffusers improve the light uniformity of a display is false is true, it follows that the statement that states different chromosomes carry different types of information is false.
|
It is a simple truth that dogs live in packs.
|
Dogs can be so human .
|
Uncertain
|
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 [3]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [3].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then [0].).), then [3].). [SC2-3]
If [7], then (If (Not (If [1], then [0].).), then [3].).
Therefore, If (Not (If [1], then [0].).), then [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (If [1], then [0].).), then [3].).).), then [10].
If (Not (If [6], then (If (Not (If [1], then [0].).), then [3].).).), then (Not [10].).
Therefore, If [6], then (If (Not (If [1], then [0].).), then [3].)..
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2] [SC2-2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If [2], then [1].).), then (If [4], then [5].).
Not (If [4], then [5].).
Therefore, If [2], then [1]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then [2].
If [9], then [2].
Therefore, [2].
|
{0: 'Dogs live in packs.', 1: 'An aquanaut is a bather.', 2: 'Most men have testosterone levels.', 3: 'Diffusers improve the light uniformity of a display.', 4: 'Some ammonoids swam in the sea, while others lived on the seafloor.', 5: 'Brazil is a relatively small importer of other meat and animal products.', 6: 'Natural selection works on the variability.', 7: 'Zinc deficiency is also a very rare isolated nutritional finding.', 8: 'Most polecats reach maturity.', 9: 'Hypnosis enhances both the storage and retrieval of data.', 10: 'Different chromosomes carry different types of information.'}
| 7 |
6,322 |
['The statement that states parvovirus attacks the lining of the digestive system is right.', "Should it be the case that the statement that 'if parvovirus attacks the lining of the digestive system, then dreams link the aware mind, speaking to it directly from our subconscious' is incorrect, it follows that multithreaded programming is similar in concept to multitasking.", "If it is not the case that if the statement that 'if the statement that 'if parvovirus attacks the lining of the digestive system, then dreams link the aware mind, speaking to it directly from our subconscious' is incorrect, then the claim that multithreaded programming is similar in concept to multitasking is false' is incorrect, then either meteorites burn when they hit the atmosphere or hormones control our energy, immune function, development, and desires, then if rafters are beams, then amyl nitrite is a specific antidote.", 'The statement, if rafters are beams, then amyl nitrite is a specific antidote, does not hold.', 'It is not the case that if endometriosis can also cause infertility, then many people are also excessively high in calcium.', "The statement 'jellyfish live in oceans' can be considered true.", "So long as jellyfish live in oceans, 'stronger muscles can help improve joint health and reduce pain' is true.", 'One may reasonably assume that if stronger muscles can help improve joint health and reduce pain, then if either meteorites burn when they hit the atmosphere or hormones control our energy, immune function, development, and desires, then if endometriosis can also cause infertility, then many people are also excessively high in calcium.']
|
The statement that states parvovirus attacks the lining of the digestive system is right. Should it be the case that the statement that 'if parvovirus attacks the lining of the digestive system, then dreams link the aware mind, speaking to it directly from our subconscious' is incorrect, it follows that multithreaded programming is similar in concept to multitasking. If it is not the case that if the statement that 'if the statement that 'if parvovirus attacks the lining of the digestive system, then dreams link the aware mind, speaking to it directly from our subconscious' is incorrect, then the claim that multithreaded programming is similar in concept to multitasking is false' is incorrect, then either meteorites burn when they hit the atmosphere or hormones control our energy, immune function, development, and desires, then if rafters are beams, then amyl nitrite is a specific antidote. The statement, if rafters are beams, then amyl nitrite is a specific antidote, does not hold. It is not the case that if endometriosis can also cause infertility, then many people are also excessively high in calcium. The statement 'jellyfish live in oceans' can be considered true. So long as jellyfish live in oceans, 'stronger muscles can help improve joint health and reduce pain' is true. One may reasonably assume that if stronger muscles can help improve joint health and reduce pain, then if either meteorites burn when they hit the atmosphere or hormones control our energy, immune function, development, and desires, then if endometriosis can also cause infertility, then many people are also excessively high in calcium.
|
We can assume that dreams link the aware mind, speaking to it directly from our subconscious.
|
Most dreams use metaphor to illuminate aspects of the life and relationships of the dreamer.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Either [3] or [4].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Either [3] or [4].).).), then (If [5], then [6].).
Not (If [5], then [6].).
Therefore, If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Either [3] or [4].)..
[SC2-3]
Modus Tonens:
If (Either [3] or [4].), then (If [7], then [8].). [SC1-4]
Not (If [7], then [8].).
Therefore, Not (Either [3] or [4].)..
[SC1-4]
Modus Ponens:
If [9], then (If (Either [3] or [4].), then (If [7], then [8].).). [SC1-5]
[9]
Therefore, If (Either [3] or [4].), then (If [7], then [8].)..
[SC1-5]
Hypothetical Syllogism:
If [9], then [10].
If [10], then (If (Either [3] or [4].), then (If [7], then [8].).).
Therefore, If [9], then (If (Either [3] or [4].), then (If [7], then [8].).)..
|
{0: 'Dreams link the aware mind, speaking to it directly from our subconscious.', 1: 'Parvovirus attacks the lining of the digestive system.', 2: 'Multithreaded programming is similar in concept to multitasking.', 3: 'Meteorites burn when they hit the atmosphere.', 4: 'Hormones control our energy, immune function, development, and desires.', 5: 'Rafters are beams.', 6: 'Amyl nitrite is a specific antidote.', 7: 'Endometriosis can also cause infertility.', 8: 'Many people are also excessively high in calcium.', 9: 'Jellyfish live in oceans.', 10: 'Stronger muscles can help improve joint health and reduce pain.'}
| 7 |
6,556 |
['Provided that the statement, either either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight or either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, does not hold, we know that it is not the case that cassowaries have three- toed feet with sharp claws .', 'Given that we know that the claim that if either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight, then experts come from backgrounds is false, it can be inferred that either some adverse effects associate with tobacco smoke or land mines are insidious weapons.', 'It is a common misconception that either some adverse effects associate with tobacco smoke or land mines are insidious weapons.', 'Provided that those that suggest if either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, then experts come from backgrounds are wrong, we know that muskrats live in burrows, in mudbanks, or in cone-shaped lodges made of mud or grass.', 'Given that those that suggest if either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, then experts come from backgrounds are wrong, it can be inferred that the claim that muskrats live in burrows, in mudbanks, or in cone-shaped lodges made of mud or grass is false.', 'If society is affected by the billions of dollars spent yearly on brain health issues, then some care providers begin contraceptives as early as five days postpartum, or as late as four weeks.', 'On the condition that some care providers begin contraceptives as early as five days postpartum, or as late as four weeks, it is definitely the case that if the statement, either either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight or either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, does not hold, then cassowaries have three- toed feet with sharp claws .', 'One may reasonably assume that if it is not the case that society is affected by the billions of dollars spent yearly on brain health issues, then all leeches are ectoparasitic and feed on the blood of either invertebrates or vertebrates.', 'If it is not the case that society is affected by the billions of dollars spent yearly on brain health issues, then those that suggest all leeches are ectoparasitic and feed on the blood of either invertebrates or vertebrates are wrong.']
|
Provided that the statement, either either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight or either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, does not hold, we know that it is not the case that cassowaries have three- toed feet with sharp claws . Given that we know that the claim that if either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight, then experts come from backgrounds is false, it can be inferred that either some adverse effects associate with tobacco smoke or land mines are insidious weapons. It is a common misconception that either some adverse effects associate with tobacco smoke or land mines are insidious weapons. Provided that those that suggest if either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, then experts come from backgrounds are wrong, we know that muskrats live in burrows, in mudbanks, or in cone-shaped lodges made of mud or grass. Given that those that suggest if either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, then experts come from backgrounds are wrong, it can be inferred that the claim that muskrats live in burrows, in mudbanks, or in cone-shaped lodges made of mud or grass is false. If society is affected by the billions of dollars spent yearly on brain health issues, then some care providers begin contraceptives as early as five days postpartum, or as late as four weeks. On the condition that some care providers begin contraceptives as early as five days postpartum, or as late as four weeks, it is definitely the case that if the statement, either either prefixs are affixs or rodents have very keen hearing and sense of smell but have poor eyesight or either endocrine systems can use either water soluble or hydrophobic signals or soil forms primarily from the accumulation of wind-blown particles in cracks in the lava, does not hold, then cassowaries have three- toed feet with sharp claws . One may reasonably assume that if it is not the case that society is affected by the billions of dollars spent yearly on brain health issues, then all leeches are ectoparasitic and feed on the blood of either invertebrates or vertebrates. If it is not the case that society is affected by the billions of dollars spent yearly on brain health issues, then those that suggest all leeches are ectoparasitic and feed on the blood of either invertebrates or vertebrates are wrong.
|
The statement 'experts come from backgrounds' can be considered true.
|
The statement 'experts come from backgrounds' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or (Either [3] or [4].). [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If (Either [3] or [4].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then [6]. [SC1-2]
If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then (Not [6].).
Therefore, Either (Either [1] or [2].) or (Either [3] or [4].)..
[SC1-2]
Modus Ponens:
If [9], then (If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then [6].). [SC1-3]
[9] [SC2-3]
Therefore, If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then [6]..
[SC1-3]
Hypothetical Syllogism:
If [9], then [11].
If [11], then (If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then [6].).
Therefore, If [9], then (If (Not (Either (Either [1] or [2].) or (Either [3] or [4].).).), then [6].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [9].), then [10].
If (Not [9].), then (Not [10].).
Therefore, [9].
[SC2-1]
Modus Tonens:
If (Not (If (Either [1] or [2].), then [0].).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then [0].).), then [5].
If (Not (If (Either [3] or [4].), then [0].).), then (Not [5].).
Therefore, If (Either [3] or [4].), then [0]..
|
{0: 'Experts come from backgrounds.', 1: 'Prefixs are affixs.', 2: 'Rodents have very keen hearing and sense of smell but have poor eyesight.', 3: 'Endocrine systems can use either water soluble or hydrophobic signals.', 4: 'Soil forms primarily from the accumulation of wind-blown particles in cracks in the lava.', 5: 'Muskrats live in burrows, in mudbanks, or in cone-shaped lodges made of mud or grass.', 6: 'Cassowaries have three- toed feet with sharp claws .', 7: 'Some adverse effects associate with tobacco smoke.', 8: 'Land mines are insidious weapons.', 9: 'Society is affected by the billions of dollars spent yearly on brain health issues.', 10: 'All leeches are ectoparasitic and feed on the blood of either invertebrates or vertebrates.', 11: 'Some care providers begin contraceptives as early as five days postpartum, or as late as four weeks.'}
| 7 |
6,357 |
['We know that at least one of two things is true: haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, or some people mistakenly believe that gallium arsenide is capable of converting electricity directly into coherent light.', 'It is a common misconception that either birds need large areas or black cherry appears to be another good indicator of ozone.', 'We know that at least one of two things is true: filamentous actin is required for lepidopteran nucleopolyhedrovirus progeny production, or if photosynthesis has a large affect on an ecosystem, then parents are the first and primary spiritual teachers of their children.', 'Provided that filamentous actin is required for lepidopteran nucleopolyhedrovirus progeny production, we know that if haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, then a crypt is a tomb.', 'Assuming most cats kill prey, we know that if a crypt is a tomb, then either birds need large areas or black cherry appears to be another good indicator of ozone.', 'Given that gravity force is simply the weight of the flying system, it can be inferred that if if photosynthesis has a large affect on an ecosystem, then parents are the first and primary spiritual teachers of their children, then if haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, then a crypt is a tomb.', 'It is rational to agree that gravity force is simply the weight of the flying system.', 'It is a fact that either thulium has no biological role but is said to stimulate the metabolism or most cats kill prey.', "The notion that 'thulium has no biological role but is said to stimulate the metabolism' is untrue."]
|
We know that at least one of two things is true: haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, or some people mistakenly believe that gallium arsenide is capable of converting electricity directly into coherent light. It is a common misconception that either birds need large areas or black cherry appears to be another good indicator of ozone. We know that at least one of two things is true: filamentous actin is required for lepidopteran nucleopolyhedrovirus progeny production, or if photosynthesis has a large affect on an ecosystem, then parents are the first and primary spiritual teachers of their children. Provided that filamentous actin is required for lepidopteran nucleopolyhedrovirus progeny production, we know that if haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, then a crypt is a tomb. Assuming most cats kill prey, we know that if a crypt is a tomb, then either birds need large areas or black cherry appears to be another good indicator of ozone. Given that gravity force is simply the weight of the flying system, it can be inferred that if if photosynthesis has a large affect on an ecosystem, then parents are the first and primary spiritual teachers of their children, then if haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis, then a crypt is a tomb. It is rational to agree that gravity force is simply the weight of the flying system. It is a fact that either thulium has no biological role but is said to stimulate the metabolism or most cats kill prey. The notion that 'thulium has no biological role but is said to stimulate the metabolism' is untrue.
|
Some people mistakenly believe that gallium arsenide is capable of converting electricity directly into coherent light.
|
Some people mistakenly believe that gallium arsenide is capable of converting electricity directly into coherent light.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If [1], then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [4]. [SC1-3]
If [4], then (Either [2] or [3].). [SC2-3]
Therefore, If [1], then (Either [2] or [3].)..
[SC1-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [1], then [4].).
If (If [7], then [8].), then (If [1], then [4].). [SC3-4]
Therefore, If [1], then [4]..
[SC3-4]
Modus Ponens:
If [10], then (If (If [7], then [8].), then (If [1], then [4].).).
[10]
Therefore, If (If [7], then [8].), then (If [1], then [4].)..
[SC2-3]
Modus Ponens:
If [5], then (If [4], then (Either [2] or [3].).).
[5] [SC2-4]
Therefore, If [4], then (Either [2] or [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or [5].
Not [9].
Therefore, [5].
|
{0: 'Gallium arsenide is capable of converting electricity directly into coherent light.', 1: 'Haemopoietic colony stimulating factors promote cell survival by suppressing apoptosis.', 2: 'Birds need large areas.', 3: 'Black cherry appears to be another good indicator of ozone.', 4: 'A crypt is a tomb.', 5: 'Most cats kill prey.', 6: 'Filamentous actin is required for lepidopteran nucleopolyhedrovirus progeny production.', 7: 'Photosynthesis has a large affect on an ecosystem.', 8: 'Parents are the first and primary spiritual teachers of their children.', 9: 'Thulium has no biological role but is said to stimulate the metabolism.', 10: 'Gravity force is simply the weight of the flying system.'}
| 7 |
6,069 |
['Given that the claim that either chicks have (part) chests or streams are courses does not reflect reality, it can be inferred that light rail is only a trolley system, and trolleys died out a half a century ago.', 'The claim that light rail is only a trolley system, and trolleys died out a half a century ago has no merit.', 'It is fair to say that discipleship is a position.', "Assuming crabs are crustaceans with five pairs of legs, we know that the notion that 'chicks have (part) chests' is untrue.", 'One may reasonably assume that if it is not the case that if discipleship is a position, then crabs are crustaceans with five pairs of legs, then laughter is the most humanizing and vital of human reactions.', 'It is true that onions contain nutrients.', 'It is rational to believe that either cycling currently includes being able to comfortably go an hour and a half or so or if onions contain nutrients, then the statement, laughter is the most humanizing and vital of human reactions, does not hold.', 'The claim that cycling currently includes being able to comfortably go an hour and a half or so does not correspond with reality.']
|
Given that the claim that either chicks have (part) chests or streams are courses does not reflect reality, it can be inferred that light rail is only a trolley system, and trolleys died out a half a century ago. The claim that light rail is only a trolley system, and trolleys died out a half a century ago has no merit. It is fair to say that discipleship is a position. Assuming crabs are crustaceans with five pairs of legs, we know that the notion that 'chicks have (part) chests' is untrue. One may reasonably assume that if it is not the case that if discipleship is a position, then crabs are crustaceans with five pairs of legs, then laughter is the most humanizing and vital of human reactions. It is true that onions contain nutrients. It is rational to believe that either cycling currently includes being able to comfortably go an hour and a half or so or if onions contain nutrients, then the statement, laughter is the most humanizing and vital of human reactions, does not hold. The claim that cycling currently includes being able to comfortably go an hour and a half or so does not correspond with reality.
|
The claim that streams are courses is true.
|
The claim that streams are courses is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2].
Therefore, Either [1] or [0]..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].). [SC1-2]
[3]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [4]. [SC1-3]
If [4], then (Not [1].).
Therefore, If [3], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [3], then [4].).), then [5].
Not [5]. [SC2-4]
Therefore, If [3], then [4]..
[SC2-4]
Modus Ponens:
If [6], then (Not [5].). [SC1-5]
[6]
Therefore, Not [5]..
[SC1-5]
Disjunctive Syllogism:
Either [7] or (If [6], then (Not [5].).).
Not [7].
Therefore, If [6], then (Not [5].)..
|
{0: 'Streams are courses.', 1: 'Chicks have (part) chests.', 2: 'Light rail is only a trolley system, and trolleys died out a half a century ago.', 3: 'Discipleship is a position.', 4: 'Crabs are crustaceans with five pairs of legs.', 5: 'Laughter is the most humanizing and vital of human reactions.', 6: 'Onions contain nutrients.', 7: 'Cycling currently includes being able to comfortably go an hour and a half or so.'}
| 7 |
6,514 |
['Either one or both of these statements are true: blastocysts have (part) corpi, or rodents live during periods.', 'It is a simple truth that marginal cost is the cost of adding or subtracting one unit of output.', "Whenever it is true that the statement, if marginal cost is the cost of adding or subtracting one unit of output, then the statement, blastocysts have (part) corpi, does not hold, does not hold, 'some maras mate for life' is true.", 'At least one of two things is true: most rain provides moisture, or medical illiteracy is prevalent across our nation, and our state.', 'Should it be the case that medical illiteracy is prevalent across our nation, and our state, it follows that if some maras mate for life, then belts are mechanical devices.', 'Should it be the case that the claim that if some maras mate for life, then some people mistakenly believe that belts are mechanical devices does not correspond with reality, it follows that people eat beans.', 'When the claim that if some maras mate for life, then some people mistakenly believe that belts are mechanical devices does not correspond with reality is true, it follows that the statement, people eat beans, does not hold.', "Given that the notion that 'if most rain provides moisture, then if some maras mate for life, then belts are mechanical devices' is untrue, it can be inferred that some second stomachs are part of kudus.", "Assuming the notion that 'if most rain provides moisture, then if some maras mate for life, then belts are mechanical devices' is untrue, we know that the statement that 'some second stomachs are part of kudus' is incorrect."]
|
Either one or both of these statements are true: blastocysts have (part) corpi, or rodents live during periods. It is a simple truth that marginal cost is the cost of adding or subtracting one unit of output. Whenever it is true that the statement, if marginal cost is the cost of adding or subtracting one unit of output, then the statement, blastocysts have (part) corpi, does not hold, does not hold, 'some maras mate for life' is true. At least one of two things is true: most rain provides moisture, or medical illiteracy is prevalent across our nation, and our state. Should it be the case that medical illiteracy is prevalent across our nation, and our state, it follows that if some maras mate for life, then belts are mechanical devices. Should it be the case that the claim that if some maras mate for life, then some people mistakenly believe that belts are mechanical devices does not correspond with reality, it follows that people eat beans. When the claim that if some maras mate for life, then some people mistakenly believe that belts are mechanical devices does not correspond with reality is true, it follows that the statement, people eat beans, does not hold. Given that the notion that 'if most rain provides moisture, then if some maras mate for life, then belts are mechanical devices' is untrue, it can be inferred that some second stomachs are part of kudus. Assuming the notion that 'if most rain provides moisture, then if some maras mate for life, then belts are mechanical devices' is untrue, we know that the statement that 'some second stomachs are part of kudus' is incorrect.
|
Those that suggest rodents live during periods are right.
|
Those that suggest rodents live during periods are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [3].
Not [3]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-4]
If [3], then (Not [4].). [SC2-4]
Therefore, Not [3]..
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then [4].). [SC2-5]
If [7], then (If [3], then [4].).
Therefore, If [3], then [4]..
[SC2-5]
Reductio Ad Absurdum:
If (Not (If [6], then (If [3], then [4].).).), then [8].
If (Not (If [6], then (If [3], then [4].).).), then (Not [8].).
Therefore, If [6], then (If [3], then [4].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [4].).).), then [5].
If (Not (If [3], then (Not [4].).).), then (Not [5].).
Therefore, If [3], then (Not [4].)..
|
{0: 'Rodents live during periods.', 1: 'Blastocysts have (part) corpi.', 2: 'Marginal cost is the cost of adding or subtracting one unit of output.', 3: 'Some maras mate for life.', 4: 'Belts are mechanical devices.', 5: 'People eat beans.', 6: 'Most rain provides moisture.', 7: 'Medical illiteracy is prevalent across our nation, and our state.', 8: 'Some second stomachs are part of kudus.'}
| 7 |
6,509 |
['We can assume that fawns have (part) bone cells.', 'We know that the claim that white pepper has a strong, hot taste is false.', 'We know that at least one of two things is true: food is the primary necessity of life, or either weasels are characterized by their long, slender bodies and short legs or some flippers are part of lungfishes.', 'The claim that food is the primary necessity of life has no merit.', 'When weasels are characterized by their long, slender bodies and short legs is true, it follows that wildlife means the animals are wild , and under certain circumstances can dangerous.', 'Provided that wildlife means the animals are wild , and under certain circumstances can dangerous, we know that white pepper has a strong, hot taste.', 'One may reasonably assume that if assertions are assertions, then if fawns have (part) bone cells, then some people mistakenly believe that evangelists have a knack for hearing and talking the language of the people.', 'One may reasonably assume that if some flippers are part of lungfishes, then either eusocial animals express complex behaviors, like group decision-making or tar is located in roofs.', 'Should it be the case that either eusocial animals express complex behaviors, like group decision-making or tar is located in roofs, it follows that assertions are assertions.']
|
We can assume that fawns have (part) bone cells. We know that the claim that white pepper has a strong, hot taste is false. We know that at least one of two things is true: food is the primary necessity of life, or either weasels are characterized by their long, slender bodies and short legs or some flippers are part of lungfishes. The claim that food is the primary necessity of life has no merit. When weasels are characterized by their long, slender bodies and short legs is true, it follows that wildlife means the animals are wild , and under certain circumstances can dangerous. Provided that wildlife means the animals are wild , and under certain circumstances can dangerous, we know that white pepper has a strong, hot taste. One may reasonably assume that if assertions are assertions, then if fawns have (part) bone cells, then some people mistakenly believe that evangelists have a knack for hearing and talking the language of the people. One may reasonably assume that if some flippers are part of lungfishes, then either eusocial animals express complex behaviors, like group decision-making or tar is located in roofs. Should it be the case that either eusocial animals express complex behaviors, like group decision-making or tar is located in roofs, it follows that assertions are assertions.
|
Some people mistakenly believe that evangelists have a knack for hearing and talking the language of the people.
|
The statement that 'evangelists also plant churches' is incorrect.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then (Not [0].).). [SC1-2]
Not [2].
Therefore, If [1], then (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [3] or [4]. [SC1-3]
If [3], then [2]. [SC2-3]
If [4], then (If [1], then (Not [0].).). [SC3-3]
Therefore, Either [2] or (If [1], then (Not [0].).)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either [3] or [4].).
Not [7].
Therefore, Either [3] or [4]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [6].
If [6], then [2].
Therefore, If [3], then [2]..
[SC3-3]
Hypothetical Syllogism:
If [4], then [5]. [SC1-4]
If [5], then (If [1], then (Not [0].).).
Therefore, If [4], then (If [1], then (Not [0].).)..
[SC1-4]
Hypothetical Syllogism:
If [4], then (Either [8] or [9].).
If (Either [8] or [9].), then [5].
Therefore, If [4], then [5]..
|
{0: 'Evangelists have a knack for hearing and talking the language of the people.', 1: 'Fawns have (part) bone cells.', 2: 'White pepper has a strong, hot taste.', 3: 'Weasels are characterized by their long, slender bodies and short legs.', 4: 'Some flippers are part of lungfishes.', 5: 'Assertions are assertions.', 6: 'Wildlife means the animals are wild , and under certain circumstances can dangerous.', 7: 'Food is the primary necessity of life.', 8: 'Eusocial animals express complex behaviors, like group decision-making.', 9: 'Tar is located in roofs.'}
| 7 |
6,340 |
['On the condition that the claim that mangroves help protect our coastlines from storm damage has no merit, it is definitely the case that atoms work together to form complex molecules.', 'Once we know atoms work together to form complex molecules, we also know that toddlers are often picky eaters.', "Should it be the case that the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, it follows that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims.", 'We know that at least one of two things is true: magnets are the size of a dime and the thickness of three to four dimes, or hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content.', 'Once we know magnets are the size of a dime and the thickness of three to four dimes, we also know that if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false.', 'We know that either either a hoary alyssum is a herb or anger is part of our original human nature, just as love is or black walnuts are common near homesites.', "Assuming either a hoary alyssum is a herb or anger is part of our original human nature, just as love is, we know that if the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, then we know that the claim that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims is false.", "So long as black walnuts are common near homesites, 'if the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, then we know that the claim that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims is false' is true.", "Either one or both of these statements are true: if acupuncture can correct the imbalance to restore mental, physical and emotional well-being, then attacks occur when porphyrins become elevated, depending on the patient's tolerance, or tidal volume is the inspiratory time multiplied by the flow rate.", "So long as if acupuncture can correct the imbalance to restore mental, physical and emotional well-being, then attacks occur when porphyrins become elevated, depending on the patient's tolerance, 'if hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content, then if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false' is true.", 'Should it be the case that tidal volume is the inspiratory time multiplied by the flow rate, it follows that if hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content, then if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false.']
|
On the condition that the claim that mangroves help protect our coastlines from storm damage has no merit, it is definitely the case that atoms work together to form complex molecules. Once we know atoms work together to form complex molecules, we also know that toddlers are often picky eaters. Should it be the case that the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, it follows that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims. We know that at least one of two things is true: magnets are the size of a dime and the thickness of three to four dimes, or hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content. Once we know magnets are the size of a dime and the thickness of three to four dimes, we also know that if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false. We know that either either a hoary alyssum is a herb or anger is part of our original human nature, just as love is or black walnuts are common near homesites. Assuming either a hoary alyssum is a herb or anger is part of our original human nature, just as love is, we know that if the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, then we know that the claim that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims is false. So long as black walnuts are common near homesites, 'if the statement that 'if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then f is bases' is incorrect, then we know that the claim that if ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain, then small birds become victims is false' is true. Either one or both of these statements are true: if acupuncture can correct the imbalance to restore mental, physical and emotional well-being, then attacks occur when porphyrins become elevated, depending on the patient's tolerance, or tidal volume is the inspiratory time multiplied by the flow rate. So long as if acupuncture can correct the imbalance to restore mental, physical and emotional well-being, then attacks occur when porphyrins become elevated, depending on the patient's tolerance, 'if hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content, then if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false' is true. Should it be the case that tidal volume is the inspiratory time multiplied by the flow rate, it follows that if hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content, then if we know that the claim that if the claim that mangroves help protect our coastlines from storm damage has no merit, then those that suggest toddlers are often picky eaters are wrong is false, then the claim that f is bases is false.
|
It is a simple truth that mangroves help protect our coastlines from storm damage.
|
The claim that mangroves help protect our coastlines from storm damage has no merit.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (If [6], then [7].).
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (Not (If [6], then [7].).). [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC2-3]
Disjunction Elimination:
Either (Either [11] or [12].) or [13].
If (Either [11] or [12].), then (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (Not (If [6], then [7].).).).
If [13], then (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (Not (If [6], then [7].).).).
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then (Not (If [6], then [7].).)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).).
If [5], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).). [SC3-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].)..
[SC3-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If [5], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).).).
If [10], then (If [5], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).).).
Therefore, If [5], then (If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).)..
|
{0: 'Mangroves help protect our coastlines from storm damage.', 1: 'Toddlers are often picky eaters.', 2: 'F is bases.', 3: 'Atoms work together to form complex molecules.', 4: 'Magnets are the size of a dime and the thickness of three to four dimes.', 5: 'Hickory nuts have an excellent rich flavour with a buttery quality due to their high fat content.', 6: 'Ribosomes help to translate mRNA and link amino acids together to produce a polypeptide chain.', 7: 'Small birds become victims.', 8: 'Acupuncture can correct the imbalance to restore mental, physical and emotional well-being.', 9: "Attacks occur when porphyrins become elevated, depending on the patient's tolerance.", 10: 'Tidal volume is the inspiratory time multiplied by the flow rate.', 11: 'A hoary alyssum is a herb.', 12: 'Anger is part of our original human nature, just as love is.', 13: 'Black walnuts are common near homesites.'}
| 7 |
6,221 |
['It is rational to believe that either edible films can also act as glazes to enhance the appearance of baked goods or refrigerators are machines.', "Whenever it is true that organophosphates are most toxic, 'if vitamin C can increase the absorption of dietary iron, then some vaccines contain leptospiras' is true.", 'Should it be the case that if vitamin C can increase the absorption of dietary iron, then some vaccines contain leptospiras, it follows that we know that the claim that either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities is false.', 'We know that the claim that carbon monoxide is present wherever there is incomplete combustion of carbon compounds is false.', "So long as the notion that 'if refrigerators are machines, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities' is untrue, 'reporters cover news' is true.", 'We know that the claim that reporters cover news is false.', 'Given that the claim that if the claim that if edible films can also act as glazes to enhance the appearance of baked goods, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities does not correspond with reality, then carbon monoxide is present wherever there is incomplete combustion of carbon compounds does not correspond with reality, it can be inferred that most women have hot flashes for a period between two months and two years.', 'Given that the claim that if the claim that if edible films can also act as glazes to enhance the appearance of baked goods, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities does not correspond with reality, then carbon monoxide is present wherever there is incomplete combustion of carbon compounds does not correspond with reality, it can be inferred that temperature is the hotness or coldness of an object.', "Once we know temperature is the hotness or coldness of an object, we also know that the statement 'most women have hot flashes for a period between two months and two years' can be considered false."]
|
It is rational to believe that either edible films can also act as glazes to enhance the appearance of baked goods or refrigerators are machines. Whenever it is true that organophosphates are most toxic, 'if vitamin C can increase the absorption of dietary iron, then some vaccines contain leptospiras' is true. Should it be the case that if vitamin C can increase the absorption of dietary iron, then some vaccines contain leptospiras, it follows that we know that the claim that either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities is false. We know that the claim that carbon monoxide is present wherever there is incomplete combustion of carbon compounds is false. So long as the notion that 'if refrigerators are machines, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities' is untrue, 'reporters cover news' is true. We know that the claim that reporters cover news is false. Given that the claim that if the claim that if edible films can also act as glazes to enhance the appearance of baked goods, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities does not correspond with reality, then carbon monoxide is present wherever there is incomplete combustion of carbon compounds does not correspond with reality, it can be inferred that most women have hot flashes for a period between two months and two years. Given that the claim that if the claim that if edible films can also act as glazes to enhance the appearance of baked goods, then if organophosphates are most toxic, then either most bats hang from claws or hickory nuts are edible, but take considerable effort to produce significant quantities does not correspond with reality, then carbon monoxide is present wherever there is incomplete combustion of carbon compounds does not correspond with reality, it can be inferred that temperature is the hotness or coldness of an object. Once we know temperature is the hotness or coldness of an object, we also know that the statement 'most women have hot flashes for a period between two months and two years' can be considered false.
|
It is not the case that organophosphates are most toxic.
|
Some people mistakenly believe that organophosphates are insecticide.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].). [SC1-1]
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [0], then (Either [1] or [2].).). [SC2-2]
If [6], then (If [0], then (Either [1] or [2].).). [SC3-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC2-2]
Modus Tonens:
If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8]. [SC1-3]
Not [8].
Therefore, If [5], then (If [0], then (Either [1] or [2].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8].).), then [9].
If (Not (If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8].).), then (Not [9].). [SC2-4]
Therefore, If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8].).), then [10].
If [10], then (Not [9].).
Therefore, If (Not (If (Not (If [5], then (If [0], then (Either [1] or [2].).).).), then [8].).), then (Not [9].)..
[SC3-2]
Modus Tonens:
If (Not (If [6], then (If [0], then (Either [1] or [2].).).).), then [7].
Not [7].
Therefore, If [6], then (If [0], then (Either [1] or [2].).)..
[SC2-1]
Hypothetical Syllogism:
If [0], then (If [3], then [4].).
If (If [3], then [4].), then (Not (Either [1] or [2].).).
Therefore, If [0], then (Not (Either [1] or [2].).)..
|
{0: 'Organophosphates are most toxic.', 1: 'Most bats hang from claws.', 2: 'Hickory nuts are edible, but take considerable effort to produce significant quantities.', 3: 'Vitamin C can increase the absorption of dietary iron.', 4: 'Some vaccines contain leptospiras.', 5: 'Edible films can also act as glazes to enhance the appearance of baked goods.', 6: 'Refrigerators are machines.', 7: 'Reporters cover news.', 8: 'Carbon monoxide is present wherever there is incomplete combustion of carbon compounds.', 9: 'Most women have hot flashes for a period between two months and two years.', 10: 'Temperature is the hotness or coldness of an object.'}
| 7 |
6,928 |
['It is a fact that either if most chocolate contains nutrients, then artists have (part) legs or many aquatic organisms can only live within a narrow range of temperature.', 'We know that at least one of two things is true: hummingbirds favor long tubular blossoms, and the color red gets their attention first, or those that suggest if most chocolate contains nutrients, then artists have (part) legs are wrong.', "Should it be the case that the statement, if either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses, then the notion that 'hummingbirds favor long tubular blossoms, and the color red gets their attention first' is untrue, does not hold, it follows that jazz brings in dissonance and minor chords-a different way of making music.", "Once we know the statement, if either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses, then the notion that 'hummingbirds favor long tubular blossoms, and the color red gets their attention first' is untrue, does not hold, we also know that those that suggest jazz brings in dissonance and minor chords-a different way of making music are wrong.", 'At least one of two things is true: either most pigs play in dirt or television anchors establish eye contact, or some religions emphasize fear and superstition, which are, in a way, the opposite of faith.', "Whenever it is true that some religions emphasize fear and superstition, which are, in a way, the opposite of faith, 'either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses' is true.", 'We know that either either early implants look like spots or pimples sprinkled on the pelvic surfaces or pesticides are a widespread threat to basketry plants or if either most pigs play in dirt or television anchors establish eye contact, then either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses.', 'It is rational to believe that either elasmobranchs have high degree of evolutionary flexibility in reproductive mode or it is not true that either early implants look like spots or pimples sprinkled on the pelvic surfaces or pesticides are a widespread threat to basketry plants.', 'The claim that elasmobranchs have high degree of evolutionary flexibility in reproductive mode has no merit.']
|
It is a fact that either if most chocolate contains nutrients, then artists have (part) legs or many aquatic organisms can only live within a narrow range of temperature. We know that at least one of two things is true: hummingbirds favor long tubular blossoms, and the color red gets their attention first, or those that suggest if most chocolate contains nutrients, then artists have (part) legs are wrong. Should it be the case that the statement, if either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses, then the notion that 'hummingbirds favor long tubular blossoms, and the color red gets their attention first' is untrue, does not hold, it follows that jazz brings in dissonance and minor chords-a different way of making music. Once we know the statement, if either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses, then the notion that 'hummingbirds favor long tubular blossoms, and the color red gets their attention first' is untrue, does not hold, we also know that those that suggest jazz brings in dissonance and minor chords-a different way of making music are wrong. At least one of two things is true: either most pigs play in dirt or television anchors establish eye contact, or some religions emphasize fear and superstition, which are, in a way, the opposite of faith. Whenever it is true that some religions emphasize fear and superstition, which are, in a way, the opposite of faith, 'either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses' is true. We know that either either early implants look like spots or pimples sprinkled on the pelvic surfaces or pesticides are a widespread threat to basketry plants or if either most pigs play in dirt or television anchors establish eye contact, then either hernia repair is one of the most common operations done in the United States today or weasels have (part) piluses. It is rational to believe that either elasmobranchs have high degree of evolutionary flexibility in reproductive mode or it is not true that either early implants look like spots or pimples sprinkled on the pelvic surfaces or pesticides are a widespread threat to basketry plants. The claim that elasmobranchs have high degree of evolutionary flexibility in reproductive mode has no merit.
|
It is true that many aquatic organisms can only live within a narrow range of temperature.
|
It is true that many aquatic organisms can only live within a narrow range of temperature.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
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]
Modus Ponens:
If (Either [4] or [5].), then (Not [3].). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (Not [3].).).), then [9].
If (Not (If (Either [4] or [5].), then (Not [3].).).), then (Not [9].).
Therefore, If (Either [4] or [5].), then (Not [3].)..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (Either [4] or [5].). [SC2-4]
If [8], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-4]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (If (Either [6] or [7].), then (Either [4] or [5].).).
Not (Either [10] or [11].). [SC2-5]
Therefore, If (Either [6] or [7].), then (Either [4] or [5].)..
[SC2-5]
Disjunctive Syllogism:
Either [12] or (Not (Either [10] or [11].).).
Not [12].
Therefore, Not (Either [10] or [11].)..
|
{0: 'Many aquatic organisms can only live within a narrow range of temperature.', 1: 'Most chocolate contains nutrients.', 2: 'Artists have (part) legs.', 3: 'Hummingbirds favor long tubular blossoms, and the color red gets their attention first.', 4: 'Hernia repair is one of the most common operations done in the United States today.', 5: 'Weasels have (part) piluses.', 6: 'Most pigs play in dirt.', 7: 'Television anchors establish eye contact.', 8: 'Some religions emphasize fear and superstition, which are, in a way, the opposite of faith.', 9: 'Jazz brings in dissonance and minor chords-a different way of making music.', 10: 'Early implants look like spots or pimples sprinkled on the pelvic surfaces.', 11: 'Pesticides are a widespread threat to basketry plants.', 12: 'Elasmobranchs have high degree of evolutionary flexibility in reproductive mode.'}
| 7 |
6,146 |
['Once we know myelin allows axons to to conduct efficiently, we also know that if the claim that if carbohydrates come from sugar, then the statement that states class size has a lot to do with how a child learns is false does not reflect reality, then nymphs are mainly responsible for infecting humans with Borrelia burgdorferi .', 'It is the case that myelin allows axons to to conduct efficiently.', 'One may reasonably assume that if energy is used disproportionately by the rich and by industry, then if the claim that if carbohydrates come from sugar, then the statement that states class size has a lot to do with how a child learns is false does not reflect reality, then those that suggest nymphs are mainly responsible for infecting humans with Borrelia burgdorferi are wrong.', 'It is a simple truth that energy is used disproportionately by the rich and by industry.', 'Assuming the statement, if those that suggest carbohydrates come from sugar are wrong, then if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems, does not hold, we know that some women stop ovulation altogether after the first three to six months of use.', "When the statement, if those that suggest carbohydrates come from sugar are wrong, then if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems, does not hold is true, it follows that the statement 'some women stop ovulation altogether after the first three to six months of use' can be considered false.", 'There is good reason to believe that either duckweeds need sunlight or it is not true that if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems.', 'The statement that states duckweeds need sunlight is false.']
|
Once we know myelin allows axons to to conduct efficiently, we also know that if the claim that if carbohydrates come from sugar, then the statement that states class size has a lot to do with how a child learns is false does not reflect reality, then nymphs are mainly responsible for infecting humans with Borrelia burgdorferi . It is the case that myelin allows axons to to conduct efficiently. One may reasonably assume that if energy is used disproportionately by the rich and by industry, then if the claim that if carbohydrates come from sugar, then the statement that states class size has a lot to do with how a child learns is false does not reflect reality, then those that suggest nymphs are mainly responsible for infecting humans with Borrelia burgdorferi are wrong. It is a simple truth that energy is used disproportionately by the rich and by industry. Assuming the statement, if those that suggest carbohydrates come from sugar are wrong, then if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems, does not hold, we know that some women stop ovulation altogether after the first three to six months of use. When the statement, if those that suggest carbohydrates come from sugar are wrong, then if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems, does not hold is true, it follows that the statement 'some women stop ovulation altogether after the first three to six months of use' can be considered false. There is good reason to believe that either duckweeds need sunlight or it is not true that if teams use techniques, then light is part of the subtle energy body of each person, flowing in the chakra and meridian systems. The statement that states duckweeds need sunlight is false.
|
The statement that states class size has a lot to do with how a child learns is false.
|
We know that the claim that class size refers to the number of students in a teacher s class is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [4]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [4].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (If (Not (If [1], then (Not [0].).).), then [4].).
[8]
Therefore, If (Not (If [1], then (Not [0].).).), then [4]..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (If [1], then (Not [0].).).), then (Not [4].).).
[6]
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [4].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then (If [2], then [3].).).), then [7].
If (Not (If (Not [1].), then (If [2], then [3].).).), then (Not [7].).
Therefore, If (Not [1].), then (If [2], then [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not (If [2], then [3].).).
Not [5].
Therefore, Not (If [2], then [3].)..
|
{0: 'Class size has a lot to do with how a child learns.', 1: 'Carbohydrates come from sugar.', 2: 'Teams use techniques.', 3: 'Light is part of the subtle energy body of each person, flowing in the chakra and meridian systems.', 4: 'Nymphs are mainly responsible for infecting humans with Borrelia burgdorferi .', 5: 'Duckweeds need sunlight.', 6: 'Energy is used disproportionately by the rich and by industry.', 7: 'Some women stop ovulation altogether after the first three to six months of use.', 8: 'Myelin allows axons to to conduct efficiently.'}
| 7 |
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