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
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| depth
int64 1
7
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|---|---|---|---|---|---|---|---|---|
4,671 |
['One may reasonably assume that if llamas are willing pack animals but only to a point, then either cattle can carry the bacteria on their hides as well as in their intestines or either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals.', 'Given that copper tubes run underground carry refrigerant that circulates into and out of a home, it can be inferred that either cattle can carry the bacteria on their hides as well as in their intestines or either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals.', 'It is rational to believe that either some plants respond to drought conditions or if cattle can carry the bacteria on their hides as well as in their intestines, then the statement, problems lead to dangerous consequences, does not hold.', 'Some people mistakenly believe that some plants respond to drought conditions.', 'Either one or both of these statements are true: mifepristone works by blocking the female hormone progesterone, or if either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals, then the statement, problems lead to dangerous consequences, does not hold.', 'The statement that states mifepristone works by blocking the female hormone progesterone is false.', 'Should it be the case that house mice weigh ounces, it follows that either llamas are willing pack animals but only to a point or copper tubes run underground carry refrigerant that circulates into and out of a home.', 'We can assume that house mice weigh ounces.']
|
One may reasonably assume that if llamas are willing pack animals but only to a point, then either cattle can carry the bacteria on their hides as well as in their intestines or either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals. Given that copper tubes run underground carry refrigerant that circulates into and out of a home, it can be inferred that either cattle can carry the bacteria on their hides as well as in their intestines or either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals. It is rational to believe that either some plants respond to drought conditions or if cattle can carry the bacteria on their hides as well as in their intestines, then the statement, problems lead to dangerous consequences, does not hold. Some people mistakenly believe that some plants respond to drought conditions. Either one or both of these statements are true: mifepristone works by blocking the female hormone progesterone, or if either children are functionally deaf to sounds absent from their native tongue or shelters are the place of last resort for lost and abandoned animals, then the statement, problems lead to dangerous consequences, does not hold. The statement that states mifepristone works by blocking the female hormone progesterone is false. Should it be the case that house mice weigh ounces, it follows that either llamas are willing pack animals but only to a point or copper tubes run underground carry refrigerant that circulates into and out of a home. We can assume that house mice weigh ounces.
|
The statement, problems lead to dangerous consequences, does not hold.
|
The notion that 'most problems are faced by animals' is untrue.
|
Uncertain
|
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]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (Either [1] or (Either [2] or [3].).).
If [6], then (Either [1] or (Either [2] or [3].).).
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Modus Ponens:
If [8], then (Either [5] or [6].).
[8]
Therefore, Either [5] or [6]..
[SC2-1]
Disjunctive Syllogism:
Either [7] or (If [1], then (Not [0].).).
Not [7].
Therefore, If [1], then (Not [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If (Either [2] or [3].), then (Not [0].).).
Not [4].
Therefore, If (Either [2] or [3].), then (Not [0].)..
|
{0: 'Problems lead to dangerous consequences.', 1: 'Cattle can carry the bacteria on their hides as well as in their intestines.', 2: 'Children are functionally deaf to sounds absent from their native tongue.', 3: 'Shelters are the place of last resort for lost and abandoned animals.', 4: 'Mifepristone works by blocking the female hormone progesterone.', 5: 'Llamas are willing pack animals but only to a point.', 6: 'Copper tubes run underground carry refrigerant that circulates into and out of a home.', 7: 'Some plants respond to drought conditions.', 8: 'House mice weigh ounces.'}
| 5 |
4,109 |
['We know that at least one of two things is true: if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, or if some people prefer eating new shell lobsters because the meat is tender, sweet, and easy to eat, then deer prefer grass.', 'Given that most pepper has flavor, it can be inferred that it is not the case that deer prefer grass.', 'The idea that most pepper has flavor is true.', 'There is good reason to believe that either large paper mills produce specialty paper products or some apple varieties are difficult to pollinate.', "So long as large paper mills produce specialty paper products, 'the statement, if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, does not hold' is true.", 'Given that some apple varieties are difficult to pollinate, it can be inferred that if poverty lines are personal incomes, then future shock is the response to over-stimulation.', 'If if poverty lines are personal incomes, then future shock is the response to over-stimulation, then the statement, if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, does not hold.']
|
We know that at least one of two things is true: if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, or if some people prefer eating new shell lobsters because the meat is tender, sweet, and easy to eat, then deer prefer grass. Given that most pepper has flavor, it can be inferred that it is not the case that deer prefer grass. The idea that most pepper has flavor is true. There is good reason to believe that either large paper mills produce specialty paper products or some apple varieties are difficult to pollinate. So long as large paper mills produce specialty paper products, 'the statement, if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, does not hold' is true. Given that some apple varieties are difficult to pollinate, it can be inferred that if poverty lines are personal incomes, then future shock is the response to over-stimulation. If if poverty lines are personal incomes, then future shock is the response to over-stimulation, then the statement, if seeds are disseminated during the fall, primarily by birds and mammals, then tomatoes add salty flavor, does not hold.
|
Those that suggest some people prefer eating new shell lobsters because the meat is tender, sweet, and easy to eat are wrong.
|
Those that suggest some people grow out of their use of alcohol and other drugs are wrong.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If [0], then [1].).
Not (If [3], then [4].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not (If [3], then [4].).).
If [6], then (Not (If [3], then [4].).). [SC3-3]
Therefore, Not (If [3], then [4].)..
[SC3-3]
Hypothetical Syllogism:
If [6], then (If [7], then [8].).
If (If [7], then [8].), then (Not (If [3], then [4].).).
Therefore, If [6], then (Not (If [3], then [4].).)..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2]
Therefore, Not [1]..
|
{0: 'Some people prefer eating new shell lobsters because the meat is tender, sweet, and easy to eat.', 1: 'Deer prefer grass.', 2: 'Most pepper has flavor.', 3: 'Seeds are disseminated during the fall, primarily by birds and mammals.', 4: 'Tomatoes add salty flavor.', 5: 'Large paper mills produce specialty paper products.', 6: 'Some apple varieties are difficult to pollinate.', 7: 'Poverty lines are personal incomes.', 8: 'Future shock is the response to over-stimulation.'}
| 5 |
4,661 |
['We know that at least one of two things is true: if viral marketing can be extremely powerful, as people tend to trust the opinions of people they know, then listeria exhibits a peculiar tumbling motility, or either bears vary in color or either rape includes unwanted sex with a husband or lover or psychogenic incontinence is incontinence resulting from emotional rather than physical causes.', 'At least one of two things is true: newtonian behaviour is approximated by gases and some liquids,notably water, or levels change in response to infection, stress and changes in chemical composition of the blood.', 'If levels change in response to infection, stress and changes in chemical composition of the blood, then the claim that bears vary in color has no merit.', 'Once we know cob is a mix of dirt, sand and straw which can be made into any shape, we also know that we know that the claim that if viral marketing can be extremely powerful, as people tend to trust the opinions of people they know, then listeria exhibits a peculiar tumbling motility is false.', 'It is true that cob is a mix of dirt, sand and straw which can be made into any shape.', 'Either one or both of these statements are true: coercion is enforcement, or if newtonian behaviour is approximated by gases and some liquids,notably water, then the claim that bears vary in color has no merit.', 'The claim that coercion is enforcement has no merit.']
|
We know that at least one of two things is true: if viral marketing can be extremely powerful, as people tend to trust the opinions of people they know, then listeria exhibits a peculiar tumbling motility, or either bears vary in color or either rape includes unwanted sex with a husband or lover or psychogenic incontinence is incontinence resulting from emotional rather than physical causes. At least one of two things is true: newtonian behaviour is approximated by gases and some liquids,notably water, or levels change in response to infection, stress and changes in chemical composition of the blood. If levels change in response to infection, stress and changes in chemical composition of the blood, then the claim that bears vary in color has no merit. Once we know cob is a mix of dirt, sand and straw which can be made into any shape, we also know that we know that the claim that if viral marketing can be extremely powerful, as people tend to trust the opinions of people they know, then listeria exhibits a peculiar tumbling motility is false. It is true that cob is a mix of dirt, sand and straw which can be made into any shape. Either one or both of these statements are true: coercion is enforcement, or if newtonian behaviour is approximated by gases and some liquids,notably water, then the claim that bears vary in color has no merit. The claim that coercion is enforcement has no merit.
|
Either rape includes unwanted sex with a husband or lover or psychogenic incontinence is incontinence resulting from emotional rather than physical causes.
|
Some people mistakenly believe that either rape includes unwanted sex with a husband or lover or psychogenic incontinence is incontinence resulting from emotional rather than physical causes.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either [2] or (Either [0] or [1].).).
Not (If [5], then [6].). [SC2-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC2-2]
Modus Ponens:
If [8], then (Not (If [5], then [6].).).
[8]
Therefore, Not (If [5], then [6].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].). [SC2-2]
If [4], then (Not [2].).
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [3], then (Not [2].).).
Not [7].
Therefore, If [3], then (Not [2].)..
|
{0: 'Rape includes unwanted sex with a husband or lover.', 1: 'Psychogenic incontinence is incontinence resulting from emotional rather than physical causes.', 2: 'Bears vary in color.', 3: 'Newtonian behaviour is approximated by gases and some liquids,notably water.', 4: 'Levels change in response to infection, stress and changes in chemical composition of the blood.', 5: 'Viral marketing can be extremely powerful, as people tend to trust the opinions of people they know.', 6: 'Listeria exhibits a peculiar tumbling motility.', 7: 'Coercion is enforcement.', 8: 'Cob is a mix of dirt, sand and straw which can be made into any shape.'}
| 5 |
4,379 |
['Provided that the claim that selenium is bound to protein derived amino acids does not reflect reality, we know that the statement that states girls can drink less than guys, over less time, and still have major damage done to internal organs is false.', "So long as it is not the case that if the claim that selenium is bound to protein derived amino acids does not reflect reality, then girls can drink less than guys, over less time, and still have major damage done to internal organs, 'if trainers have (part) heads, then snails swallow food' is true.", 'If if trainers have (part) heads, then snails swallow food, then everyday life is impacted by the decisions of government policymakers.', 'The statement that states lasers have many applications and are becoming more widely used in medicine and dentistry is false.', 'Provided that it is not true that either lasers have many applications and are becoming more widely used in medicine and dentistry or the claim that everyday life is impacted by the decisions of government policymakers does not correspond with reality, we know that humans can modify other species by selecting and breeding individuals that possess desired traits.', 'Once we know it is not true that either lasers have many applications and are becoming more widely used in medicine and dentistry or the claim that everyday life is impacted by the decisions of government policymakers does not correspond with reality, we also know that those that suggest humans can modify other species by selecting and breeding individuals that possess desired traits are wrong.']
|
Provided that the claim that selenium is bound to protein derived amino acids does not reflect reality, we know that the statement that states girls can drink less than guys, over less time, and still have major damage done to internal organs is false. So long as it is not the case that if the claim that selenium is bound to protein derived amino acids does not reflect reality, then girls can drink less than guys, over less time, and still have major damage done to internal organs, 'if trainers have (part) heads, then snails swallow food' is true. If if trainers have (part) heads, then snails swallow food, then everyday life is impacted by the decisions of government policymakers. The statement that states lasers have many applications and are becoming more widely used in medicine and dentistry is false. Provided that it is not true that either lasers have many applications and are becoming more widely used in medicine and dentistry or the claim that everyday life is impacted by the decisions of government policymakers does not correspond with reality, we know that humans can modify other species by selecting and breeding individuals that possess desired traits. Once we know it is not true that either lasers have many applications and are becoming more widely used in medicine and dentistry or the claim that everyday life is impacted by the decisions of government policymakers does not correspond with reality, we also know that those that suggest humans can modify other species by selecting and breeding individuals that possess desired traits are wrong.
|
The statement 'selenium is bound to protein derived amino acids' is true.
|
The statement 'selenium is bound to protein derived amino acids' is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then (If [4], then [5].).
If (If [4], then [5].), then [2].
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [2].).).), then [6].
If (Not (Either [3] or (Not [2].).).), then (Not [6].).
Therefore, Either [3] or (Not [2].)..
|
{0: 'Selenium is bound to protein derived amino acids.', 1: 'Girls can drink less than guys, over less time, and still have major damage done to internal organs.', 2: 'Everyday life is impacted by the decisions of government policymakers.', 3: 'Lasers have many applications and are becoming more widely used in medicine and dentistry.', 4: 'Trainers have (part) heads.', 5: 'Snails swallow food.', 6: 'Humans can modify other species by selecting and breeding individuals that possess desired traits.'}
| 5 |
4,625 |
['The statement, homosexual transsexuals can marry if one was born a member of the opposite sex, does not hold.', 'It is rational to believe that either rationality is an exogenous component of selective incentives or if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then robots are machines.', 'We know that either lagoons gradually fill in, get shallower, and become salt marshes or either earthquakes are natural disasters or calcium is excreted in the urine and feces.', 'On the condition that lagoons gradually fill in, get shallower, and become salt marshes, it is definitely the case that if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then it is not the case that robots are machines.', "Whenever it is true that either earthquakes are natural disasters or calcium is excreted in the urine and feces, 'if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then it is not the case that robots are machines' is true.", 'When most people think that herbal remedies are limited to humans alone is true, it follows that the statement that states rationality is an exogenous component of selective incentives is false.', 'It is a simple truth that most people think that herbal remedies are limited to humans alone.']
|
The statement, homosexual transsexuals can marry if one was born a member of the opposite sex, does not hold. It is rational to believe that either rationality is an exogenous component of selective incentives or if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then robots are machines. We know that either lagoons gradually fill in, get shallower, and become salt marshes or either earthquakes are natural disasters or calcium is excreted in the urine and feces. On the condition that lagoons gradually fill in, get shallower, and become salt marshes, it is definitely the case that if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then it is not the case that robots are machines. Whenever it is true that either earthquakes are natural disasters or calcium is excreted in the urine and feces, 'if the claim that if if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs, then homosexual transsexuals can marry if one was born a member of the opposite sex does not correspond with reality, then it is not the case that robots are machines' is true. When most people think that herbal remedies are limited to humans alone is true, it follows that the statement that states rationality is an exogenous component of selective incentives is false. It is a simple truth that most people think that herbal remedies are limited to humans alone.
|
It is a common misconception that if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs.
|
It is a common misconception that if whitefish is in the northwest of Montana, more in huckleberry country, then robbers have (part) legs.
|
TRUE
|
Modus Tonens:
If (If [0], then [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (If [0], then [1].), then [2].).), then [3]. [SC1-2]
If (Not (If (If [0], then [1].), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (If [0], then [1].), then [2].).), then [3].).
Not [4]. [SC2-3]
Therefore, If (Not (If (If [0], then [1].), then [2].).), then [3]..
[SC2-3]
Modus Ponens:
If [8], then (Not [4].).
[8]
Therefore, Not [4]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If (If [0], then [1].), then [2].).), then (Not [3].).).
If (Either [6] or [7].), then (If (Not (If (If [0], then [1].), then [2].).), then (Not [3].).).
Therefore, If (Not (If (If [0], then [1].), then [2].).), then (Not [3].)..
|
{0: 'Whitefish is in the northwest of Montana, more in huckleberry country.', 1: 'Robbers have (part) legs.', 2: 'Homosexual transsexuals can marry if one was born a member of the opposite sex.', 3: 'Robots are machines.', 4: 'Rationality is an exogenous component of selective incentives.', 5: 'Lagoons gradually fill in, get shallower, and become salt marshes.', 6: 'Earthquakes are natural disasters.', 7: 'Calcium is excreted in the urine and feces.', 8: 'Most people think that herbal remedies are limited to humans alone.'}
| 5 |
4,603 |
['Once we know tests provide different habitat types, we also know that the statement, either sorcerers are also warriors or covalent molecules are held together by intermolecular forces to form molecular solids, does not hold.', 'Given that the statement, optimal vision occurs in the daylight hours, does not hold, it can be inferred that responses demonstrate consideration.', 'If the statement, optimal vision occurs in the daylight hours, does not hold, then we know that the claim that responses demonstrate consideration is false.', 'If bonobos have (part) pedal extremities, then cramps are common during physical activities such as jogging and swimming.', "So long as plantar warts can be very painful when weight bearing, 'if if bonobos have (part) pedal extremities, then cramps are common during physical activities such as jogging and swimming, then if optimal vision occurs in the daylight hours, then tests provide different habitat types' is true.", 'plantar warts can be very painful when weight bearing.']
|
Once we know tests provide different habitat types, we also know that the statement, either sorcerers are also warriors or covalent molecules are held together by intermolecular forces to form molecular solids, does not hold. Given that the statement, optimal vision occurs in the daylight hours, does not hold, it can be inferred that responses demonstrate consideration. If the statement, optimal vision occurs in the daylight hours, does not hold, then we know that the claim that responses demonstrate consideration is false. If bonobos have (part) pedal extremities, then cramps are common during physical activities such as jogging and swimming. So long as plantar warts can be very painful when weight bearing, 'if if bonobos have (part) pedal extremities, then cramps are common during physical activities such as jogging and swimming, then if optimal vision occurs in the daylight hours, then tests provide different habitat types' is true. plantar warts can be very painful when weight bearing.
|
The statement, either sorcerers are also warriors or covalent molecules are held together by intermolecular forces to form molecular solids, does not hold.
|
The statement, either sorcerers are also warriors or covalent molecules are held together by intermolecular forces to form molecular solids, does not hold.
|
TRUE
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Hypothetical Syllogism:
If [2], then [3]. [SC1-2]
If [3], then (Not (Either [0] or [1].).).
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Modus Ponens:
If (If [5], then [6].), then (If [2], then [3].). [SC1-3]
If [5], then [6].
Therefore, If [2], then [3]..
[SC1-3]
Modus Ponens:
If [7], then (If (If [5], then [6].), then (If [2], then [3].).).
[7]
Therefore, If (If [5], then [6].), then (If [2], then [3].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [4].
If (Not [2].), then (Not [4].).
Therefore, [2].
|
{0: 'Sorcerers are also warriors.', 1: 'Covalent molecules are held together by intermolecular forces to form molecular solids.', 2: 'Optimal vision occurs in the daylight hours.', 3: 'Tests provide different habitat types.', 4: 'Responses demonstrate consideration.', 5: 'Bonobos have (part) pedal extremities.', 6: 'Cramps are common during physical activities such as jogging and swimming.', 7: 'Plantar warts can be very painful when weight bearing.'}
| 5 |
4,092 |
["On the condition that backyards have grass, it is definitely the case that if the statement 'recessions occur with unpredictable frequency and duration' can be considered false, then porn is made of naked people.", 'It is true that backyards have grass.', 'Some people mistakenly believe that either hens have heads or hand pull weeds, especially before seeds are produced.', 'The statement, parish councils are the smallest unit of local government, does not hold.', 'Either one or both of these statements are true: gardeners plant geraniums, or most children have a full set of twenty primary teeth by the time they re three years old.', 'Once we know gardeners plant geraniums, we also know that parish councils are the smallest unit of local government.', 'Given that most children have a full set of twenty primary teeth by the time they re three years old, it can be inferred that if porn is made of naked people, then either hens have heads or hand pull weeds, especially before seeds are produced.']
|
On the condition that backyards have grass, it is definitely the case that if the statement 'recessions occur with unpredictable frequency and duration' can be considered false, then porn is made of naked people. It is true that backyards have grass. Some people mistakenly believe that either hens have heads or hand pull weeds, especially before seeds are produced. The statement, parish councils are the smallest unit of local government, does not hold. Either one or both of these statements are true: gardeners plant geraniums, or most children have a full set of twenty primary teeth by the time they re three years old. Once we know gardeners plant geraniums, we also know that parish councils are the smallest unit of local government. Given that most children have a full set of twenty primary teeth by the time they re three years old, it can be inferred that if porn is made of naked people, then either hens have heads or hand pull weeds, especially before seeds are produced.
|
It is rational to agree that recessions occur with unpredictable frequency and duration.
|
It is rational to agree that recessions occur with unpredictable frequency and duration.
|
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]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If [1], then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Either [3] or [4].).). [SC1-3]
Not [5].
Therefore, If [1], then (Either [3] or [4].)..
[SC1-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [5].
If [7], then (If [1], then (Either [3] or [4].).).
Therefore, Either [5] or (If [1], then (Either [3] or [4].).)..
|
{0: 'Recessions occur with unpredictable frequency and duration.', 1: 'Porn is made of naked people.', 2: 'Backyards have grass.', 3: 'Hens have heads.', 4: 'Hand pull weeds, especially before seeds are produced.', 5: 'Parish councils are the smallest unit of local government.', 6: 'Gardeners plant geraniums.', 7: 'Most children have a full set of twenty primary teeth by the time they re three years old.'}
| 5 |
4,451 |
['The claim that hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin has no merit.', "So long as the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, 'propane comes in disposable tanks' is true.", 'Should it be the case that propane comes in disposable tanks, it follows that if some snakes give birth to pythons, then planter isa farmer.', 'It is rational to believe that either either acquaintance rape is a common crime on American campuses or meat provides nutrients or ferrets have short legs.', "If ferrets have short legs, then if the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, then the statement that 'if some snakes give birth to pythons, then planter isa farmer' is incorrect.", "If the claim that if either acquaintance rape is a common crime on American campuses or meat provides nutrients, then if the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, then the statement that 'if some snakes give birth to pythons, then planter isa farmer' is incorrect does not reflect reality, then meals provide proteins.", "The statement that 'meals provide proteins' is incorrect."]
|
The claim that hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin has no merit. So long as the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, 'propane comes in disposable tanks' is true. Should it be the case that propane comes in disposable tanks, it follows that if some snakes give birth to pythons, then planter isa farmer. It is rational to believe that either either acquaintance rape is a common crime on American campuses or meat provides nutrients or ferrets have short legs. If ferrets have short legs, then if the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, then the statement that 'if some snakes give birth to pythons, then planter isa farmer' is incorrect. If the claim that if either acquaintance rape is a common crime on American campuses or meat provides nutrients, then if the claim that if diets need for growth, then hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin is false, then the statement that 'if some snakes give birth to pythons, then planter isa farmer' is incorrect does not reflect reality, then meals provide proteins. The statement that 'meals provide proteins' is incorrect.
|
We know that the claim that diets need for growth is false.
|
It is rational to agree that diets need for growth.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-2]
If (Not (If [0], then [1].).), then (Not (If [2], then [3].).). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [4].
If [4], then (If [2], then [3].).
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC2-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).). [SC2-3]
If [7], then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).
Therefore, If (Not (If [0], then [1].).), then (Not (If [2], then [3].).)..
[SC2-3]
Modus Tonens:
If (Not (If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).).), then [8].
Not [8].
Therefore, If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).)..
|
{0: 'Diets need for growth.', 1: 'Hives occur when fluid leaks through the cells surrounding tiny blood vessels and enters the skin.', 2: 'Some snakes give birth to pythons.', 3: 'Planter isa farmer.', 4: 'Propane comes in disposable tanks.', 5: 'Acquaintance rape is a common crime on American campuses.', 6: 'Meat provides nutrients.', 7: 'Ferrets have short legs.', 8: 'Meals provide proteins.'}
| 5 |
4,652 |
['The claim that market failure is the failure of the market system to make economically efficient decisions does not correspond with reality.', 'Given that nematodes have life stages, it can be inferred that either sunflowers attract mourning doves for a youth-only dove hunt or if the statement that states diabetics can eat anything a non-diabetic can eat is false, then market failure is the failure of the market system to make economically efficient decisions.', "Whenever it is true that borscht is soup, 'either sunflowers attract mourning doves for a youth-only dove hunt or if the statement that states diabetics can eat anything a non-diabetic can eat is false, then market failure is the failure of the market system to make economically efficient decisions' is true.", 'Should it be the case that sunflowers attract mourning doves for a youth-only dove hunt, it follows that if bullying can lead to extreme suffering and, in some cases, even suicide, then birthdays are anniversaries.', "The notion that 'if bullying can lead to extreme suffering and, in some cases, even suicide, then birthdays are anniversaries' is untrue.", 'We know that either if zooplankton feeds fish, then some excretion affects infants or either nematodes have life stages or borscht is soup.', "The statement 'if zooplankton feeds fish, then some excretion affects infants' can be considered false."]
|
The claim that market failure is the failure of the market system to make economically efficient decisions does not correspond with reality. Given that nematodes have life stages, it can be inferred that either sunflowers attract mourning doves for a youth-only dove hunt or if the statement that states diabetics can eat anything a non-diabetic can eat is false, then market failure is the failure of the market system to make economically efficient decisions. Whenever it is true that borscht is soup, 'either sunflowers attract mourning doves for a youth-only dove hunt or if the statement that states diabetics can eat anything a non-diabetic can eat is false, then market failure is the failure of the market system to make economically efficient decisions' is true. Should it be the case that sunflowers attract mourning doves for a youth-only dove hunt, it follows that if bullying can lead to extreme suffering and, in some cases, even suicide, then birthdays are anniversaries. The notion that 'if bullying can lead to extreme suffering and, in some cases, even suicide, then birthdays are anniversaries' is untrue. We know that either if zooplankton feeds fish, then some excretion affects infants or either nematodes have life stages or borscht is soup. The statement 'if zooplankton feeds fish, then some excretion affects infants' can be considered false.
|
The claim that diabetics can eat anything a non-diabetic can eat is true.
|
The claim that diabetics can eat anything a non-diabetic can eat is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
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 [5] or [6]. [SC1-3]
If [5], then (Either [2] or (If (Not [0].), then [1].).).
If [6], then (Either [2] or (If (Not [0].), then [1].).).
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Either [5] or [6].).
Not (If [7], then [8].).
Therefore, Either [5] or [6]..
[SC2-2]
Modus Tonens:
If [2], then (If [3], then [4].).
Not (If [3], then [4].).
Therefore, Not [2]..
|
{0: 'Diabetics can eat anything a non-diabetic can eat.', 1: 'Market failure is the failure of the market system to make economically efficient decisions.', 2: 'Sunflowers attract mourning doves for a youth-only dove hunt.', 3: 'Bullying can lead to extreme suffering and, in some cases, even suicide.', 4: 'Birthdays are anniversaries.', 5: 'Nematodes have life stages.', 6: 'Borscht is soup.', 7: 'Zooplankton feeds fish.', 8: 'Some excretion affects infants.'}
| 5 |
4,822 |
['We know that the claim that table salt is a seasoning is false.', 'Once we know house plants are sensitive to natural or blended gas, we also know that if some people mistakenly believe that either table salt is a seasoning or gangs tend to be local, transitory and fluid in nature, then many plants depend on animals for pollination.', "When more heart attacks occur at airports than during flight is true, it follows that the statement that 'many plants depend on animals for pollination' is incorrect.", 'It is fair to say that more heart attacks occur at airports than during flight.', 'Provided that squash is part of pumpkins, we know that house plants are sensitive to natural or blended gas.', 'It is fair to say that squash is part of pumpkins.']
|
We know that the claim that table salt is a seasoning is false. Once we know house plants are sensitive to natural or blended gas, we also know that if some people mistakenly believe that either table salt is a seasoning or gangs tend to be local, transitory and fluid in nature, then many plants depend on animals for pollination. When more heart attacks occur at airports than during flight is true, it follows that the statement that 'many plants depend on animals for pollination' is incorrect. It is fair to say that more heart attacks occur at airports than during flight. Provided that squash is part of pumpkins, we know that house plants are sensitive to natural or blended gas. It is fair to say that squash is part of pumpkins.
|
It is a simple truth that gangs tend to be local, transitory and fluid in nature.
|
Gang is tools.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (Either [1] or [0].).), then [2].).
[4] [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-3]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Gangs tend to be local, transitory and fluid in nature.', 1: 'Table salt is a seasoning.', 2: 'Many plants depend on animals for pollination.', 3: 'More heart attacks occur at airports than during flight.', 4: 'House plants are sensitive to natural or blended gas.', 5: 'Squash is part of pumpkins.'}
| 5 |
4,855 |
['At least one of two things is true: inflight exercise affects stand test responses after spaceflight, or if domestic yak are used for travel and as draft animals, then plasma molecules are smaller than the blood cells.', 'The claim that inflight exercise affects stand test responses after spaceflight does not correspond with reality.', 'If it is not the case that domestic yak are used for travel and as draft animals, then frescos are murals.', 'We know that either conifer seeds are very complex structures, containing cells from three generations of the tree or it is not the case that frescos are murals.', "So long as conifer seeds are very complex structures, containing cells from three generations of the tree, 'air strikes are an act of war' is true.", 'The claim that air strikes are an act of war has no merit.']
|
At least one of two things is true: inflight exercise affects stand test responses after spaceflight, or if domestic yak are used for travel and as draft animals, then plasma molecules are smaller than the blood cells. The claim that inflight exercise affects stand test responses after spaceflight does not correspond with reality. If it is not the case that domestic yak are used for travel and as draft animals, then frescos are murals. We know that either conifer seeds are very complex structures, containing cells from three generations of the tree or it is not the case that frescos are murals. So long as conifer seeds are very complex structures, containing cells from three generations of the tree, 'air strikes are an act of war' is true. The claim that air strikes are an act of war has no merit.
|
The claim that plasma molecules are smaller than the blood cells holds true.
|
The claim that plasma molecules are smaller than the blood cells holds true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].).
Not [2].
Therefore, If [1], then [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Plasma molecules are smaller than the blood cells.', 1: 'Domestic yak are used for travel and as draft animals.', 2: 'Inflight exercise affects stand test responses after spaceflight.', 3: 'Frescos are murals.', 4: 'Conifer seeds are very complex structures, containing cells from three generations of the tree.', 5: 'Air strikes are an act of war.'}
| 5 |
4,390 |
['We know that at least one of two things is true: water sport activities involve use, or rape is an extreme form of sexual violence but there are many other, less recognized forms as well.', "So long as water sport activities involve use, 'if the claim that animals adapt to urban environments is false, then adolescents develop respect for themselves and others' is true.", 'On the condition that rape is an extreme form of sexual violence but there are many other, less recognized forms as well, it is definitely the case that if the claim that animals adapt to urban environments is false, then adolescents develop respect for themselves and others.', 'Assuming calliopes are used as outdoors instruments, and many have been built on wheeled platforms, we know that it is not true that adolescents develop respect for themselves and others.', "Whenever it is true that we know that the claim that either calliopes are used as outdoors instruments, and many have been built on wheeled platforms or dogs have (part) bone cells is false, 'if most deaf people can read and write English as well as their hearing peers, then sandbars are important for basking and egg laying sites' is true.", "Whenever it is true that we know that the claim that either calliopes are used as outdoors instruments, and many have been built on wheeled platforms or dogs have (part) bone cells is false, 'it is not the case that if most deaf people can read and write English as well as their hearing peers, then sandbars are important for basking and egg laying sites' is true.", 'It is a fact that either antacids taken regularly can neutralize the acid in the esophagus and stop heartburn or industries tend to be in-bred and wedded to particular ways of doing things.', 'Provided that antacids taken regularly can neutralize the acid in the esophagus and stop heartburn, we know that if dogs have (part) bone cells, then it is not true that adolescents develop respect for themselves and others.', 'Should it be the case that industries tend to be in-bred and wedded to particular ways of doing things, it follows that if dogs have (part) bone cells, then it is not true that adolescents develop respect for themselves and others.']
|
We know that at least one of two things is true: water sport activities involve use, or rape is an extreme form of sexual violence but there are many other, less recognized forms as well. So long as water sport activities involve use, 'if the claim that animals adapt to urban environments is false, then adolescents develop respect for themselves and others' is true. On the condition that rape is an extreme form of sexual violence but there are many other, less recognized forms as well, it is definitely the case that if the claim that animals adapt to urban environments is false, then adolescents develop respect for themselves and others. Assuming calliopes are used as outdoors instruments, and many have been built on wheeled platforms, we know that it is not true that adolescents develop respect for themselves and others. Whenever it is true that we know that the claim that either calliopes are used as outdoors instruments, and many have been built on wheeled platforms or dogs have (part) bone cells is false, 'if most deaf people can read and write English as well as their hearing peers, then sandbars are important for basking and egg laying sites' is true. Whenever it is true that we know that the claim that either calliopes are used as outdoors instruments, and many have been built on wheeled platforms or dogs have (part) bone cells is false, 'it is not the case that if most deaf people can read and write English as well as their hearing peers, then sandbars are important for basking and egg laying sites' is true. It is a fact that either antacids taken regularly can neutralize the acid in the esophagus and stop heartburn or industries tend to be in-bred and wedded to particular ways of doing things. Provided that antacids taken regularly can neutralize the acid in the esophagus and stop heartburn, we know that if dogs have (part) bone cells, then it is not true that adolescents develop respect for themselves and others. Should it be the case that industries tend to be in-bred and wedded to particular ways of doing things, it follows that if dogs have (part) bone cells, then it is not true that adolescents develop respect for themselves and others.
|
animals adapt to urban environments.
|
Animals make noise.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
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].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (If [6], then [7].).
If (Not (Either [2] or [3].).), then (Not (If [6], then [7].).).
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [3], then (Not [1].).).
If [9], then (If [3], then (Not [1].).).
Therefore, If [3], then (Not [1].)..
|
{0: 'Animals adapt to urban environments.', 1: 'Adolescents develop respect for themselves and others.', 2: 'Calliopes are used as outdoors instruments, and many have been built on wheeled platforms.', 3: 'Dogs have (part) bone cells.', 4: 'Water sport activities involve use.', 5: 'Rape is an extreme form of sexual violence but there are many other, less recognized forms as well.', 6: 'Most deaf people can read and write English as well as their hearing peers.', 7: 'Sandbars are important for basking and egg laying sites.', 8: 'Antacids taken regularly can neutralize the acid in the esophagus and stop heartburn.', 9: 'Industries tend to be in-bred and wedded to particular ways of doing things.'}
| 5 |
4,577 |
['Given that most marmots hibernate in burrows, it can be inferred that either if signal pathways lead to activations, then wings create musical sound or ozone is a gas and is highly corrosive.', 'Once we know women want families, we also know that either if signal pathways lead to activations, then wings create musical sound or ozone is a gas and is highly corrosive.', "So long as if signal pathways lead to activations, then wings create musical sound, 'warmed blood is essential for fast and strong swimming' is true.", 'We know that the claim that warmed blood is essential for fast and strong swimming is false.', "It is rational to believe that either sexuality is a central issue in girls' lives, especially at adolescence or some high humidity causes rapid decay.", 'Assuming some high humidity causes rapid decay, we know that either most marmots hibernate in burrows or women want families.', "Provided that the statement, if sexuality is a central issue in girls' lives, especially at adolescence, then either most marmots hibernate in burrows or women want families, does not hold, we know that if stockbrokers are in the business of selling stocks to retail clients, then many mammals use sexual reproduction.", 'The statement, if stockbrokers are in the business of selling stocks to retail clients, then many mammals use sexual reproduction, does not hold.']
|
Given that most marmots hibernate in burrows, it can be inferred that either if signal pathways lead to activations, then wings create musical sound or ozone is a gas and is highly corrosive. Once we know women want families, we also know that either if signal pathways lead to activations, then wings create musical sound or ozone is a gas and is highly corrosive. So long as if signal pathways lead to activations, then wings create musical sound, 'warmed blood is essential for fast and strong swimming' is true. We know that the claim that warmed blood is essential for fast and strong swimming is false. It is rational to believe that either sexuality is a central issue in girls' lives, especially at adolescence or some high humidity causes rapid decay. Assuming some high humidity causes rapid decay, we know that either most marmots hibernate in burrows or women want families. Provided that the statement, if sexuality is a central issue in girls' lives, especially at adolescence, then either most marmots hibernate in burrows or women want families, does not hold, we know that if stockbrokers are in the business of selling stocks to retail clients, then many mammals use sexual reproduction. The statement, if stockbrokers are in the business of selling stocks to retail clients, then many mammals use sexual reproduction, does not hold.
|
The statement that states ozone is a gas and is highly corrosive is right.
|
Ozone is formed when air pollutants combine in the heat of the summer sun.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either (If [1], then [2].) or [0].).
If [4], then (Either (If [1], then [2].) or [0].).
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].). [SC2-3]
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-3]
Modus Tonens:
If (Not (If [6], then (Either [3] or [4].).).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If [6], then (Either [3] or [4].)..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [5].
Not [5].
Therefore, Not (If [1], then [2].)..
|
{0: 'Ozone is a gas and is highly corrosive.', 1: 'Signal pathways lead to activations.', 2: 'Wings create musical sound.', 3: 'Most marmots hibernate in burrows.', 4: 'Women want families.', 5: 'Warmed blood is essential for fast and strong swimming.', 6: "Sexuality is a central issue in girls' lives, especially at adolescence.", 7: 'Some high humidity causes rapid decay.', 8: 'Stockbrokers are in the business of selling stocks to retail clients.', 9: 'Many mammals use sexual reproduction.'}
| 5 |
4,985 |
['We know that either if pharyngeal teeth are stout and hooked, then bison get nutrition or salvation comes through the belief of the truth.', "So long as if pharyngeal teeth are stout and hooked, then bison get nutrition, 'if platelets are an important part of the clotting factor in blood, then the statement 'a meltwater is water' can be considered false' is true.", "So long as salvation comes through the belief of the truth, 'if platelets are an important part of the clotting factor in blood, then the statement 'a meltwater is water' can be considered false' is true.", "The statement that 'vanity works for most women, most of the time' is incorrect.", 'Should it be the case that the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, it follows that either most crabs prefer muddy substrate or people die before retirement.', 'Either one or both of these statements are true: variable accounts offer the risks and rewards of investing in the stock market, or birds make nests.', 'If variable accounts offer the risks and rewards of investing in the stock market, then if the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, then the claim that either most crabs prefer muddy substrate or people die before retirement does not correspond with reality.', "So long as birds make nests, 'if the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, then the claim that either most crabs prefer muddy substrate or people die before retirement does not correspond with reality' is true."]
|
We know that either if pharyngeal teeth are stout and hooked, then bison get nutrition or salvation comes through the belief of the truth. So long as if pharyngeal teeth are stout and hooked, then bison get nutrition, 'if platelets are an important part of the clotting factor in blood, then the statement 'a meltwater is water' can be considered false' is true. So long as salvation comes through the belief of the truth, 'if platelets are an important part of the clotting factor in blood, then the statement 'a meltwater is water' can be considered false' is true. The statement that 'vanity works for most women, most of the time' is incorrect. Should it be the case that the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, it follows that either most crabs prefer muddy substrate or people die before retirement. Either one or both of these statements are true: variable accounts offer the risks and rewards of investing in the stock market, or birds make nests. If variable accounts offer the risks and rewards of investing in the stock market, then if the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, then the claim that either most crabs prefer muddy substrate or people die before retirement does not correspond with reality. So long as birds make nests, 'if the claim that if we know that the claim that platelets are an important part of the clotting factor in blood is false, then vanity works for most women, most of the time does not reflect reality, then the claim that either most crabs prefer muddy substrate or people die before retirement does not correspond with reality' is true.
|
The statement 'a meltwater is water' can be considered false.
|
Many people rightly believe that a meltwater is water.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then [2].).), then (Either [6] or [7].).
If (Not (If (Not [1].), then [2].).), then (Not (Either [6] or [7].).). [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If (Not [1].), then [2].).), then (Not (Either [6] or [7].).).).
If [9], then (If (Not (If (Not [1].), then [2].).), then (Not (Either [6] or [7].).).).
Therefore, If (Not (If (Not [1].), then [2].).), then (Not (Either [6] or [7].).)..
|
{0: 'A meltwater is water.', 1: 'Platelets are an important part of the clotting factor in blood.', 2: 'Vanity works for most women, most of the time.', 3: 'Pharyngeal teeth are stout and hooked.', 4: 'Bison get nutrition.', 5: 'Salvation comes through the belief of the truth.', 6: 'Most crabs prefer muddy substrate.', 7: 'People die before retirement.', 8: 'Variable accounts offer the risks and rewards of investing in the stock market.', 9: 'Birds make nests.'}
| 5 |
4,422 |
['The claim that different eyepieces have different magnifications does not correspond with reality.', 'At least one of two things is true: if extreme weather has impact, then pansies usually blossom throughout the spring, or happy people are located in carnivals.', 'Given that if extreme weather has impact, then pansies usually blossom throughout the spring, it can be inferred that if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then smoking slows down the blood flow and can make heart and blood vessel problems worse.', "So long as happy people are located in carnivals, 'if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then smoking slows down the blood flow and can make heart and blood vessel problems worse' is true.", 'The idea that maples are more prevalent along streams than along rivers is true.', "So long as some animals eat iguanas, 'if maples are more prevalent along streams than along rivers, then if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then the statement 'smoking slows down the blood flow and can make heart and blood vessel problems worse' can be considered false' is true.", 'It is a simple truth that some animals eat iguanas.']
|
The claim that different eyepieces have different magnifications does not correspond with reality. At least one of two things is true: if extreme weather has impact, then pansies usually blossom throughout the spring, or happy people are located in carnivals. Given that if extreme weather has impact, then pansies usually blossom throughout the spring, it can be inferred that if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then smoking slows down the blood flow and can make heart and blood vessel problems worse. So long as happy people are located in carnivals, 'if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then smoking slows down the blood flow and can make heart and blood vessel problems worse' is true. The idea that maples are more prevalent along streams than along rivers is true. So long as some animals eat iguanas, 'if maples are more prevalent along streams than along rivers, then if we know that the claim that if tactual communication occurs through body contact, then different eyepieces have different magnifications is false, then the statement 'smoking slows down the blood flow and can make heart and blood vessel problems worse' can be considered false' is true. It is a simple truth that some animals eat iguanas.
|
Those that suggest tactual communication occurs through body contact are wrong.
|
Some people mistakenly believe that cooked meat has no relation to live food or to the living flesh of a freshly slaughtered animal.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (If (Not (If [0], then [1].).), then [2].).
If [6], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Modus Ponens:
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC1-3]
[3]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-3]
Modus Ponens:
If [7], then (If [3], then (If (Not (If [0], then [1].).), then (Not [2].).).).
[7]
Therefore, If [3], then (If (Not (If [0], then [1].).), then (Not [2].).)..
|
{0: 'Tactual communication occurs through body contact.', 1: 'Different eyepieces have different magnifications.', 2: 'Smoking slows down the blood flow and can make heart and blood vessel problems worse.', 3: 'Maples are more prevalent along streams than along rivers.', 4: 'Extreme weather has impact.', 5: 'Pansies usually blossom throughout the spring.', 6: 'Happy people are located in carnivals.', 7: 'Some animals eat iguanas.'}
| 5 |
4,211 |
["Whenever it is true that either squirrels depend on oak trees for food and as places to build nests or a harmonic analysis is an analysis, 'we know that the claim that a cargo liner is an ocean liner is false' is true.", "Either one or both of these statements are true: dementia affects people differently, depending on the area of the brain affected, or if the statement 'either squirrels depend on oak trees for food and as places to build nests or a harmonic analysis is an analysis' can be considered false, then either radio signals are electromagnetic waves that are sent from a transmitter to one or more receivers or substrates refer to different feeding and swimming environments.", 'The statement that states dementia affects people differently, depending on the area of the brain affected is false.', "Whenever it is true that either radio signals are electromagnetic waves that are sent from a transmitter to one or more receivers or substrates refer to different feeding and swimming environments, 'ocular manifestations are rare in typhoid fever' is true.", 'Should it be the case that ocular manifestations are rare in typhoid fever, it follows that paleontology has a lot to say about conservation biology.', 'Assuming ocular manifestations are rare in typhoid fever, we know that the statement that states paleontology has a lot to say about conservation biology is false.']
|
Whenever it is true that either squirrels depend on oak trees for food and as places to build nests or a harmonic analysis is an analysis, 'we know that the claim that a cargo liner is an ocean liner is false' is true. Either one or both of these statements are true: dementia affects people differently, depending on the area of the brain affected, or if the statement 'either squirrels depend on oak trees for food and as places to build nests or a harmonic analysis is an analysis' can be considered false, then either radio signals are electromagnetic waves that are sent from a transmitter to one or more receivers or substrates refer to different feeding and swimming environments. The statement that states dementia affects people differently, depending on the area of the brain affected is false. Whenever it is true that either radio signals are electromagnetic waves that are sent from a transmitter to one or more receivers or substrates refer to different feeding and swimming environments, 'ocular manifestations are rare in typhoid fever' is true. Should it be the case that ocular manifestations are rare in typhoid fever, it follows that paleontology has a lot to say about conservation biology. Assuming ocular manifestations are rare in typhoid fever, we know that the statement that states paleontology has a lot to say about conservation biology is false.
|
We know that the claim that a cargo liner is an ocean liner is false.
|
We know that the claim that a cargo liner is an ocean liner is false.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].).
Either [1] or [2]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (Either [1] or [2].).), then (Either [3] or [4].).).
Not [6].
Therefore, If (Not (Either [1] or [2].).), then (Either [3] or [4].)..
[SC2-2]
Modus Tonens:
If (Either [3] or [4].), then [5].
Not [5]. [SC2-3]
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [7].
If [5], then (Not [7].).
Therefore, Not [5]..
|
{0: 'A cargo liner is an ocean liner.', 1: 'Squirrels depend on oak trees for food and as places to build nests.', 2: 'A harmonic analysis is an analysis.', 3: 'Radio signals are electromagnetic waves that are sent from a transmitter to one or more receivers.', 4: 'Substrates refer to different feeding and swimming environments.', 5: 'Ocular manifestations are rare in typhoid fever.', 6: 'Dementia affects people differently, depending on the area of the brain affected.', 7: 'Paleontology has a lot to say about conservation biology.'}
| 5 |
4,171 |
['There is good reason to believe that either earthworms have a mouth, head, tail and a saddle that is the middle of their body or coffee is cultivated on small plantations in the mountain highlands, and wet-processed.', 'If earthworms have a mouth, head, tail and a saddle that is the middle of their body, then the claim that muscles support the bones does not reflect reality.', 'There is good reason to believe that either either trees are often subtle indicators of their environments or cataracts cause a film to cover the lens of the eye which then prevents light from entering the eye or a cart is a wagon.', "Whenever it is true that either trees are often subtle indicators of their environments or cataracts cause a film to cover the lens of the eye which then prevents light from entering the eye, 'if earthworms have a mouth, head, tail and a saddle that is the middle of their body, then gear has (part) bases' is true.", 'One may reasonably assume that if a cart is a wagon, then if earthworms have a mouth, head, tail and a saddle that is the middle of their body, then gear has (part) bases.', "One may reasonably assume that if those that suggest if gear has (part) bases, then muscles support the bones are wrong, then universities educate most of the people who develop and manage society's institutions.", "Those that suggest universities educate most of the people who develop and manage society's institutions are wrong."]
|
There is good reason to believe that either earthworms have a mouth, head, tail and a saddle that is the middle of their body or coffee is cultivated on small plantations in the mountain highlands, and wet-processed. If earthworms have a mouth, head, tail and a saddle that is the middle of their body, then the claim that muscles support the bones does not reflect reality. There is good reason to believe that either either trees are often subtle indicators of their environments or cataracts cause a film to cover the lens of the eye which then prevents light from entering the eye or a cart is a wagon. Whenever it is true that either trees are often subtle indicators of their environments or cataracts cause a film to cover the lens of the eye which then prevents light from entering the eye, 'if earthworms have a mouth, head, tail and a saddle that is the middle of their body, then gear has (part) bases' is true. One may reasonably assume that if a cart is a wagon, then if earthworms have a mouth, head, tail and a saddle that is the middle of their body, then gear has (part) bases. One may reasonably assume that if those that suggest if gear has (part) bases, then muscles support the bones are wrong, then universities educate most of the people who develop and manage society's institutions. Those that suggest universities educate most of the people who develop and manage society's institutions are wrong.
|
The idea that coffee is cultivated on small plantations in the mountain highlands, and wet-processed is true.
|
The idea that coffee is cultivated on small plantations in the mountain highlands, and wet-processed is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [3]. [SC1-3]
If [3], then [2]. [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If [1], then [3].).
If [7], then (If [1], then [3].).
Therefore, If [1], then [3]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then [2].).), then [4].
Not [4].
Therefore, If [3], then [2]..
|
{0: 'Coffee is cultivated on small plantations in the mountain highlands, and wet-processed.', 1: 'Earthworms have a mouth, head, tail and a saddle that is the middle of their body.', 2: 'Muscles support the bones.', 3: 'Gear has (part) bases.', 4: "Universities educate most of the people who develop and manage society's institutions.", 5: 'Trees are often subtle indicators of their environments.', 6: 'Cataracts cause a film to cover the lens of the eye which then prevents light from entering the eye.', 7: 'A cart is a wagon.'}
| 5 |
4,165 |
["Given that the statement 'either some people seem to think that carpet can only be put on an absolute flat surface or some birds suffer internal damage' can be considered false, it can be inferred that if a chatelaine is a mistress, then primates are altricial, infants' brains fairly underdeveloped at birth.", "The statement that states if a chatelaine is a mistress, then primates are altricial, infants' brains fairly underdeveloped at birth is false.", 'Assuming some people seem to think that carpet can only be put on an absolute flat surface, we know that some energy depends on quality.', 'Assuming some energy depends on quality, we know that good sportsmanship is something every young athlete needs to learn.', "When the statement 'if some birds suffer internal damage, then good sportsmanship is something every young athlete needs to learn' can be considered false is true, it follows that it is not true that renunciation is the priestly honorarium.", "Given that the claim that if the statement 'if some birds suffer internal damage, then good sportsmanship is something every young athlete needs to learn' can be considered false, then renunciation is the priestly honorarium does not reflect reality, it can be inferred that most species only change sex once in their development.", 'We know that the claim that most species only change sex once in their development is false.']
|
Given that the statement 'either some people seem to think that carpet can only be put on an absolute flat surface or some birds suffer internal damage' can be considered false, it can be inferred that if a chatelaine is a mistress, then primates are altricial, infants' brains fairly underdeveloped at birth. The statement that states if a chatelaine is a mistress, then primates are altricial, infants' brains fairly underdeveloped at birth is false. Assuming some people seem to think that carpet can only be put on an absolute flat surface, we know that some energy depends on quality. Assuming some energy depends on quality, we know that good sportsmanship is something every young athlete needs to learn. When the statement 'if some birds suffer internal damage, then good sportsmanship is something every young athlete needs to learn' can be considered false is true, it follows that it is not true that renunciation is the priestly honorarium. Given that the claim that if the statement 'if some birds suffer internal damage, then good sportsmanship is something every young athlete needs to learn' can be considered false, then renunciation is the priestly honorarium does not reflect reality, it can be inferred that most species only change sex once in their development. We know that the claim that most species only change sex once in their development is false.
|
Many people rightly believe that good sportsmanship is something every young athlete needs to learn.
|
Some people mistakenly believe that good sportsmanship is something every young athlete needs to learn.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then (If [3], then [4].).
Not (If [3], then [4].).
Therefore, Either [1] or [2]..
[SC2-1]
Hypothetical Syllogism:
If [1], then [5].
If [5], then [0].
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [6]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [6].).
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then [6].).), then [7].
Not [7].
Therefore, If (Not (If [2], then [0].).), then [6]..
|
{0: 'Good sportsmanship is something every young athlete needs to learn.', 1: 'Some people seem to think that carpet can only be put on an absolute flat surface.', 2: 'Some birds suffer internal damage.', 3: 'A chatelaine is a mistress.', 4: "Primates are altricial, infants' brains fairly underdeveloped at birth.", 5: 'Some energy depends on quality.', 6: 'Renunciation is the priestly honorarium.', 7: 'Most species only change sex once in their development.'}
| 5 |
4,238 |
['Those that suggest injuries destroy the health, lives and livelihoods of many millions of people each year are right.', "Assuming the statement 'if injuries destroy the health, lives and livelihoods of many millions of people each year, then gold is a symbol value and timelessness' can be considered false, we know that vegetables naturally vary with region and ,season.", "Once we know the statement 'if injuries destroy the health, lives and livelihoods of many millions of people each year, then gold is a symbol value and timelessness' can be considered false, we also know that toms have (part) ground substances.", "So long as toms have (part) ground substances, 'the statement that 'hawksbills have beaks' is incorrect' is true.", 'On the condition that cells are rectangular in shape and contain cellular organelles and large intracellular granules, it is definitely the case that if vegetables naturally vary with region and ,season, then hawksbills have beaks.', 'It is a simple truth that cells are rectangular in shape and contain cellular organelles and large intracellular granules.']
|
Those that suggest injuries destroy the health, lives and livelihoods of many millions of people each year are right. Assuming the statement 'if injuries destroy the health, lives and livelihoods of many millions of people each year, then gold is a symbol value and timelessness' can be considered false, we know that vegetables naturally vary with region and ,season. Once we know the statement 'if injuries destroy the health, lives and livelihoods of many millions of people each year, then gold is a symbol value and timelessness' can be considered false, we also know that toms have (part) ground substances. So long as toms have (part) ground substances, 'the statement that 'hawksbills have beaks' is incorrect' is true. On the condition that cells are rectangular in shape and contain cellular organelles and large intracellular granules, it is definitely the case that if vegetables naturally vary with region and ,season, then hawksbills have beaks. It is a simple truth that cells are rectangular in shape and contain cellular organelles and large intracellular granules.
|
It is fair to say that gold is a symbol value and timelessness.
|
Gold decorates the hilts of daggers.
|
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]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [3].
If [3], then [2]. [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-3]
Modus Ponens:
If [5], then (If [3], then [2].).
[5]
Therefore, If [3], then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [4].
If [4], then (Not [2].).
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
|
{0: 'Gold is a symbol value and timelessness.', 1: 'Injuries destroy the health, lives and livelihoods of many millions of people each year.', 2: 'Hawksbills have beaks.', 3: 'Vegetables naturally vary with region and ,season.', 4: 'Toms have (part) ground substances.', 5: 'Cells are rectangular in shape and contain cellular organelles and large intracellular granules.'}
| 5 |
4,188 |
['Once we know museums have (part) bases, we also know that soluble fiber is found also in fruits, oats and barley.', 'On the condition that dunes can migrate at a rate of several metres a year, it is definitely the case that either water buffalo are still a big part of the Vietnamese country life or scarlet fever is characterized by a sandpaper like rash.', 'The claim that either water buffalo are still a big part of the Vietnamese country life or scarlet fever is characterized by a sandpaper like rash is false.', 'Either cassowaries also eat fungi, snails, and even small animals or either most many birds eat red fruit or museums have (part) bases.', 'The claim that cassowaries also eat fungi, snails, and even small animals is false.', 'Provided that some people mistakenly believe that if most many birds eat red fruit, then dunes can migrate at a rate of several metres a year, we know that most animals have short lifespans.', 'Should it be the case that some people mistakenly believe that if most many birds eat red fruit, then dunes can migrate at a rate of several metres a year, it follows that it is not the case that most animals have short lifespans.']
|
Once we know museums have (part) bases, we also know that soluble fiber is found also in fruits, oats and barley. On the condition that dunes can migrate at a rate of several metres a year, it is definitely the case that either water buffalo are still a big part of the Vietnamese country life or scarlet fever is characterized by a sandpaper like rash. The claim that either water buffalo are still a big part of the Vietnamese country life or scarlet fever is characterized by a sandpaper like rash is false. Either cassowaries also eat fungi, snails, and even small animals or either most many birds eat red fruit or museums have (part) bases. The claim that cassowaries also eat fungi, snails, and even small animals is false. Provided that some people mistakenly believe that if most many birds eat red fruit, then dunes can migrate at a rate of several metres a year, we know that most animals have short lifespans. Should it be the case that some people mistakenly believe that if most many birds eat red fruit, then dunes can migrate at a rate of several metres a year, it follows that it is not the case that most animals have short lifespans.
|
Those that suggest soluble fiber is found also in fruits, oats and barley are right.
|
Soluble fiber decreases cholesterol in the serum by trapping the cholesterol-bile acid in the gut.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1]. [SC2-2]
If [5], then [0].
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].).
Not [6].
Therefore, Either [4] or [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [7].
If (Not (If [4], then [1].).), then (Not [7].).
Therefore, If [4], then [1]..
[SC2-1]
Modus Tonens:
If [1], then (Either [2] or [3].).
Not (Either [2] or [3].).
Therefore, Not [1]..
|
{0: 'Soluble fiber is found also in fruits, oats and barley.', 1: 'Dunes can migrate at a rate of several metres a year.', 2: 'Water buffalo are still a big part of the Vietnamese country life.', 3: 'Scarlet fever is characterized by a sandpaper like rash.', 4: 'Most many birds eat red fruit.', 5: 'Museums have (part) bases.', 6: 'Cassowaries also eat fungi, snails, and even small animals.', 7: 'Most animals have short lifespans.'}
| 5 |
4,685 |
['The statement that states brown bodies is autosomal recessive is false.', "The notion that 'buckets fill with river lagoon water' is untrue.", 'Given that reproductive isolation is determined by the mutual affinity of organisms, it can be inferred that either buckets fill with river lagoon water or either brown bodies is autosomal recessive or the claim that dreams are prophecies and dreamers are prophets has no merit.', 'There is good reason to believe that either dental hygienists are very active participants with community events or powdered mustard is simply finely ground mustard seed.', 'Should it be the case that dental hygienists are very active participants with community events, it follows that reproductive isolation is determined by the mutual affinity of organisms.', "Whenever it is true that powdered mustard is simply finely ground mustard seed, 'many animals live in rivers and lakes' is true.", "When the statement 'if many animals live in rivers and lakes, then either buckets fill with river lagoon water or either brown bodies is autosomal recessive or the claim that dreams are prophecies and dreamers are prophets has no merit' can be considered false is true, it follows that reflection nebulae are also usually sites of star formation.", 'The statement that states reflection nebulae are also usually sites of star formation is false.']
|
The statement that states brown bodies is autosomal recessive is false. The notion that 'buckets fill with river lagoon water' is untrue. Given that reproductive isolation is determined by the mutual affinity of organisms, it can be inferred that either buckets fill with river lagoon water or either brown bodies is autosomal recessive or the claim that dreams are prophecies and dreamers are prophets has no merit. There is good reason to believe that either dental hygienists are very active participants with community events or powdered mustard is simply finely ground mustard seed. Should it be the case that dental hygienists are very active participants with community events, it follows that reproductive isolation is determined by the mutual affinity of organisms. Whenever it is true that powdered mustard is simply finely ground mustard seed, 'many animals live in rivers and lakes' is true. When the statement 'if many animals live in rivers and lakes, then either buckets fill with river lagoon water or either brown bodies is autosomal recessive or the claim that dreams are prophecies and dreamers are prophets has no merit' can be considered false is true, it follows that reflection nebulae are also usually sites of star formation. The statement that states reflection nebulae are also usually sites of star formation is false.
|
The claim that dreams are prophecies and dreamers are prophets has no merit.
|
The claim that dreams are prophecies and dreamers are prophets has no merit.
|
TRUE
|
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].).). [SC1-2]
Not [2].
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (Either [2] or (Either [1] or (Not [0].).).).
If [4], then (Either [2] or (Either [1] or (Not [0].).).). [SC3-3]
Therefore, Either [2] or (Either [1] or (Not [0].).)..
[SC1-3]
Constructive Dilemma:
Either [5] or [6].
If [5], then [3].
If [6], then [4].
Therefore, Either [3] or [4]..
[SC3-3]
Modus Tonens:
If (Not (If [4], then (Either [2] or (Either [1] or (Not [0].).).).).), then [7].
Not [7].
Therefore, If [4], then (Either [2] or (Either [1] or (Not [0].).).)..
|
{0: 'Dreams are prophecies and dreamers are prophets.', 1: 'Brown bodies is autosomal recessive.', 2: 'Buckets fill with river lagoon water.', 3: 'Reproductive isolation is determined by the mutual affinity of organisms.', 4: 'Many animals live in rivers and lakes.', 5: 'Dental hygienists are very active participants with community events.', 6: 'Powdered mustard is simply finely ground mustard seed.', 7: 'Reflection nebulae are also usually sites of star formation.'}
| 5 |
4,803 |
['Either one or both of these statements are true: bears has-part paws, or iguanids are common in North and South America, but in Asia, most lizards are agamids.', "Whenever it is true that iguanids are common in North and South America, but in Asia, most lizards are agamids, 'if the statement, some infants develop a rash that looks like eczema, does not hold, then most toads are classified as dwarf toads' is true.", 'Provided that most toads are classified as dwarf toads, we know that kangaroos require food.', 'The claim that kangaroos require food does not reflect reality.', 'We know that either if sources include favorites, then magic realism is a genre or if bears has-part paws, then if the statement, some infants develop a rash that looks like eczema, does not hold, then most toads are classified as dwarf toads.', 'There is good reason to believe that either words do have meanings or it is a common misconception that if sources include favorites, then magic realism is a genre.', 'The statement, words do have meanings, does not hold.']
|
Either one or both of these statements are true: bears has-part paws, or iguanids are common in North and South America, but in Asia, most lizards are agamids. Whenever it is true that iguanids are common in North and South America, but in Asia, most lizards are agamids, 'if the statement, some infants develop a rash that looks like eczema, does not hold, then most toads are classified as dwarf toads' is true. Provided that most toads are classified as dwarf toads, we know that kangaroos require food. The claim that kangaroos require food does not reflect reality. We know that either if sources include favorites, then magic realism is a genre or if bears has-part paws, then if the statement, some infants develop a rash that looks like eczema, does not hold, then most toads are classified as dwarf toads. There is good reason to believe that either words do have meanings or it is a common misconception that if sources include favorites, then magic realism is a genre. The statement, words do have meanings, does not hold.
|
It is rational to agree that some infants develop a rash that looks like eczema.
|
It is not the case that some infants develop a rash that looks like eczema.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [2], then (If (Not [0].), then [1].).).
Not (If [5], then [6].). [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not (If [5], then [6].).).
Not [7].
Therefore, Not (If [5], then [6].)..
[SC2-1]
Modus Tonens:
If [1], then [4].
Not [4].
Therefore, Not [1]..
|
{0: 'Some infants develop a rash that looks like eczema.', 1: 'Most toads are classified as dwarf toads.', 2: 'Bears has-part paws.', 3: 'Iguanids are common in North and South America, but in Asia, most lizards are agamids.', 4: 'Kangaroos require food.', 5: 'Sources include favorites.', 6: 'Magic realism is a genre.', 7: 'Words do have meanings.'}
| 5 |
4,344 |
["At least one of two things is true: cost is non-linearly related to size, or small businesses are the backbone of our state's economy.", "If cost is non-linearly related to size, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats.", "It is rational to believe that either fox squirrels eat buds or agriculture is the foundation of our nation's economy.", "Given that agriculture is the foundation of our nation's economy, it can be inferred that the statement 'if pleasure is the enjoyment of a healthy mind and body, then some people kill goats' can be considered false.", "So long as we know that the claim that if small businesses are the backbone of our state's economy, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats is false, 'drawing is the foundation of all art making' is true.", "So long as we know that the claim that if small businesses are the backbone of our state's economy, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats is false, 'it is not true that drawing is the foundation of all art making' is true.", "We know that either if ozone frees up the combined chlorine leaving the chlorine free to provide a residual, then chromosomes have various shapes and lengths, but each species has a specific pattern of chromosomes or if fox squirrels eat buds, then the statement 'if pleasure is the enjoyment of a healthy mind and body, then some people kill goats' can be considered false.", 'Some people mistakenly believe that if ozone frees up the combined chlorine leaving the chlorine free to provide a residual, then chromosomes have various shapes and lengths, but each species has a specific pattern of chromosomes.']
|
At least one of two things is true: cost is non-linearly related to size, or small businesses are the backbone of our state's economy. If cost is non-linearly related to size, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats. It is rational to believe that either fox squirrels eat buds or agriculture is the foundation of our nation's economy. Given that agriculture is the foundation of our nation's economy, it can be inferred that the statement 'if pleasure is the enjoyment of a healthy mind and body, then some people kill goats' can be considered false. So long as we know that the claim that if small businesses are the backbone of our state's economy, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats is false, 'drawing is the foundation of all art making' is true. So long as we know that the claim that if small businesses are the backbone of our state's economy, then if the statement 'if kudzu tea is a type of tea that can be found growing in the southwestern United States, then cooked meat freezes well for up to three months' can be considered false, then if pleasure is the enjoyment of a healthy mind and body, then some people kill goats is false, 'it is not true that drawing is the foundation of all art making' is true. We know that either if ozone frees up the combined chlorine leaving the chlorine free to provide a residual, then chromosomes have various shapes and lengths, but each species has a specific pattern of chromosomes or if fox squirrels eat buds, then the statement 'if pleasure is the enjoyment of a healthy mind and body, then some people kill goats' can be considered false. Some people mistakenly believe that if ozone frees up the combined chlorine leaving the chlorine free to provide a residual, then chromosomes have various shapes and lengths, but each species has a specific pattern of chromosomes.
|
Provided that kudzu tea is a type of tea that can be found growing in the southwestern United States, we know that cooked meat freezes well for up to three months
|
Provided that kudzu tea is a type of tea that can be found growing in the southwestern United States, we know that cooked meat freezes well for up to three months
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-1]
Not (If [2], then [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [0], then [1].).), then (If [2], then [3].).).
If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).). [SC3-2]
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).).).), then [8].
If (Not (If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).).).), then (Not [8].).
Therefore, If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not (If [2], then [3].).). [SC2-2]
If [5], then (Not (If [2], then [3].).).
Therefore, Not (If [2], then [3].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [9], then [10].) or (If [4], then (Not (If [2], then [3].).).).
Not (If [9], then [10].).
Therefore, If [4], then (Not (If [2], then [3].).)..
|
{0: 'Kudzu tea is a type of tea that can be found growing in the southwestern United States.', 1: 'Cooked meat freezes well for up to three months.', 2: 'Pleasure is the enjoyment of a healthy mind and body.', 3: 'Some people kill goats.', 4: 'Fox squirrels eat buds.', 5: "Agriculture is the foundation of our nation's economy.", 6: 'Cost is non-linearly related to size.', 7: "Small businesses are the backbone of our state's economy.", 8: 'Drawing is the foundation of all art making.', 9: 'Ozone frees up the combined chlorine leaving the chlorine free to provide a residual.', 10: 'Chromosomes have various shapes and lengths, but each species has a specific pattern of chromosomes.'}
| 5 |
4,741 |
['Those that suggest most food allergies trigger severe reaction are wrong.', "If the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then female lions do most of the hunting, while male lions defend the pride's territory.", "On the condition that the claim that if the claim that if ambient air infiltrating the dryer is one of the major causes of condensate, then the notion that 'either most human societies interact with one another in relatively peaceful and productive ways or some snails live in water' is untrue does not correspond with reality, then most food allergies trigger severe reaction does not correspond with reality, it is definitely the case that coeloms are cavities delimited by a mesoderm.", "If the claim that if the claim that if ambient air infiltrating the dryer is one of the major causes of condensate, then the notion that 'either most human societies interact with one another in relatively peaceful and productive ways or some snails live in water' is untrue does not correspond with reality, then most food allergies trigger severe reaction does not correspond with reality, then those that suggest coeloms are cavities delimited by a mesoderm are wrong.", "On the condition that the claim that if the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then it is not the case that female lions do most of the hunting, while male lions defend the pride's territory is false, it is definitely the case that sister chromatid cohesion in mitosis.", "Provided that the claim that if the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then it is not the case that female lions do most of the hunting, while male lions defend the pride's territory is false, we know that the statement, sister chromatid cohesion in mitosis, does not hold."]
|
Those that suggest most food allergies trigger severe reaction are wrong. If the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then female lions do most of the hunting, while male lions defend the pride's territory. On the condition that the claim that if the claim that if ambient air infiltrating the dryer is one of the major causes of condensate, then the notion that 'either most human societies interact with one another in relatively peaceful and productive ways or some snails live in water' is untrue does not correspond with reality, then most food allergies trigger severe reaction does not correspond with reality, it is definitely the case that coeloms are cavities delimited by a mesoderm. If the claim that if the claim that if ambient air infiltrating the dryer is one of the major causes of condensate, then the notion that 'either most human societies interact with one another in relatively peaceful and productive ways or some snails live in water' is untrue does not correspond with reality, then most food allergies trigger severe reaction does not correspond with reality, then those that suggest coeloms are cavities delimited by a mesoderm are wrong. On the condition that the claim that if the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then it is not the case that female lions do most of the hunting, while male lions defend the pride's territory is false, it is definitely the case that sister chromatid cohesion in mitosis. Provided that the claim that if the claim that ambient air infiltrating the dryer is one of the major causes of condensate has no merit, then it is not the case that female lions do most of the hunting, while male lions defend the pride's territory is false, we know that the statement, sister chromatid cohesion in mitosis, does not hold.
|
The notion that 'either most human societies interact with one another in relatively peaceful and productive ways or some snails live in water' is untrue.
|
Those that suggest human society is a community of trust are wrong.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (Not (Either [0] or [1].).).).), then [3]. [SC1-2]
Not [3].
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Not (Either [0] or [1].).).).), then [3].).), then [6].
If (Not (If (Not (If [2], then (Not (Either [0] or [1].).).).), then [3].).), then (Not [6].).
Therefore, If (Not (If [2], then (Not (Either [0] or [1].).).).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [4].
If (Not [2].), then (Not [4].). [SC2-2]
Therefore, [2].
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then (Not [4].).).), then [5].
If (Not (If (Not [2].), then (Not [4].).).), then (Not [5].).
Therefore, If (Not [2].), then (Not [4].)..
|
{0: 'Most human societies interact with one another in relatively peaceful and productive ways.', 1: 'Some snails live in water.', 2: 'Ambient air infiltrating the dryer is one of the major causes of condensate.', 3: 'Most food allergies trigger severe reaction.', 4: "Female lions do most of the hunting, while male lions defend the pride's territory.", 5: 'Sister chromatid cohesion in mitosis.', 6: 'Coeloms are cavities delimited by a mesoderm.'}
| 5 |
4,453 |
['If the claim that academic dismissal is a termination of admission has no merit, then lobsters provide food.', 'Should it be the case that some people mistakenly believe that either most whales enjoy life or crickets live in grassy fields, gardens, lawns, and empty lots, it follows that aggregation allows consumers to pool together utility usage or load and form a buying group.', "The statement that 'aggregation allows consumers to pool together utility usage or load and form a buying group' is incorrect.", 'Should it be the case that xerophytes are plants which are adapted to a dry, arid habitat such as deserts or sand dunes, it follows that if most whales enjoy life, then we know that the claim that lobsters provide food is false.', 'We can assume that xerophytes are plants which are adapted to a dry, arid habitat such as deserts or sand dunes.', 'We know that at least one of two things is true: arthropods have (part) vacuoles, or if crickets live in grassy fields, gardens, lawns, and empty lots, then we know that the claim that lobsters provide food is false.', 'Some people mistakenly believe that arthropods have (part) vacuoles.']
|
If the claim that academic dismissal is a termination of admission has no merit, then lobsters provide food. Should it be the case that some people mistakenly believe that either most whales enjoy life or crickets live in grassy fields, gardens, lawns, and empty lots, it follows that aggregation allows consumers to pool together utility usage or load and form a buying group. The statement that 'aggregation allows consumers to pool together utility usage or load and form a buying group' is incorrect. Should it be the case that xerophytes are plants which are adapted to a dry, arid habitat such as deserts or sand dunes, it follows that if most whales enjoy life, then we know that the claim that lobsters provide food is false. We can assume that xerophytes are plants which are adapted to a dry, arid habitat such as deserts or sand dunes. We know that at least one of two things is true: arthropods have (part) vacuoles, or if crickets live in grassy fields, gardens, lawns, and empty lots, then we know that the claim that lobsters provide food is false. Some people mistakenly believe that arthropods have (part) vacuoles.
|
The idea that academic dismissal is a termination of admission is true.
|
The idea that academic dismissal is a termination of admission is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [4].
Not [4].
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (Not [1].).).
[5]
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: 'Academic dismissal is a termination of admission.', 1: 'Lobsters provide food.', 2: 'Most whales enjoy life.', 3: 'Crickets live in grassy fields, gardens, lawns, and empty lots.', 4: 'Aggregation allows consumers to pool together utility usage or load and form a buying group.', 5: 'Xerophytes are plants which are adapted to a dry, arid habitat such as deserts or sand dunes.', 6: 'Arthropods have (part) vacuoles.'}
| 5 |
4,646 |
['It is fair to say that parents teach children each gender s unique attributes and the ways they view and react to life.', 'Once we know cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection, we also know that if parents teach children each gender s unique attributes and the ways they view and react to life, then mimicry is and adaptation which one organism looks like another.', 'We know that at least one of two things is true: kyphosis is an excessive round-back deformity common in teenagers, or either trees live in oak woodlands or dieticians can suggest appropriate calorie intake levels and types of foods to eat.', 'Should it be the case that kyphosis is an excessive round-back deformity common in teenagers, it follows that either many factors can influence the behaviour of foreign DNA when it integrates into the plant genome or cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection.', 'On the condition that either trees live in oak woodlands or dieticians can suggest appropriate calorie intake levels and types of foods to eat, it is definitely the case that either many factors can influence the behaviour of foreign DNA when it integrates into the plant genome or cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection.', 'Given that many factors can influence the behaviour of foreign DNA when it integrates into the plant genome, it can be inferred that norman patois is spoken in some parishes.', "The statement that 'norman patois is spoken in some parishes' is incorrect."]
|
It is fair to say that parents teach children each gender s unique attributes and the ways they view and react to life. Once we know cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection, we also know that if parents teach children each gender s unique attributes and the ways they view and react to life, then mimicry is and adaptation which one organism looks like another. We know that at least one of two things is true: kyphosis is an excessive round-back deformity common in teenagers, or either trees live in oak woodlands or dieticians can suggest appropriate calorie intake levels and types of foods to eat. Should it be the case that kyphosis is an excessive round-back deformity common in teenagers, it follows that either many factors can influence the behaviour of foreign DNA when it integrates into the plant genome or cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection. On the condition that either trees live in oak woodlands or dieticians can suggest appropriate calorie intake levels and types of foods to eat, it is definitely the case that either many factors can influence the behaviour of foreign DNA when it integrates into the plant genome or cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection. Given that many factors can influence the behaviour of foreign DNA when it integrates into the plant genome, it can be inferred that norman patois is spoken in some parishes. The statement that 'norman patois is spoken in some parishes' is incorrect.
|
The idea that mimicry is and adaptation which one organism looks like another is true.
|
Mimicry is one organism protecting itself by looking like another organism.
|
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]
Disjunctive Syllogism:
Either [3] or [2]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Either [3] or [2].).
If (Either [6] or [7].), then (Either [3] or [2].).
Therefore, Either [3] or [2]..
[SC2-3]
Modus Tonens:
If [3], then [4].
Not [4].
Therefore, Not [3]..
|
{0: 'Mimicry is and adaptation which one organism looks like another.', 1: 'Parents teach children each gender s unique attributes and the ways they view and react to life.', 2: 'Cockroaches becoming increasingly resistant to pesticides is an example of disruptive selection.', 3: 'Many factors can influence the behaviour of foreign DNA when it integrates into the plant genome.', 4: 'Norman patois is spoken in some parishes.', 5: 'Kyphosis is an excessive round-back deformity common in teenagers.', 6: 'Trees live in oak woodlands.', 7: 'Dieticians can suggest appropriate calorie intake levels and types of foods to eat.'}
| 5 |
4,830 |
["It is rational to believe that either discernment is a part of every person's life, every day or most flowers develop from axils.", 'On the condition that most flowers develop from axils, it is definitely the case that if many migratory animals pack together in the south during the winter, then either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime.', 'Provided that the claim that many migratory animals pack together in the south during the winter has no merit, we know that if good sportsmanship includes the ability to win and lose gracefully, then most sand is transported from inland via rivers and streams.', 'On the condition that the claim that many migratory animals pack together in the south during the winter has no merit, it is definitely the case that the statement, if good sportsmanship includes the ability to win and lose gracefully, then most sand is transported from inland via rivers and streams, does not hold.', 'Should it be the case that oriental languages use very different code sets, it follows that if many migratory animals pack together in the south during the winter, then either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime.', "If discernment is a part of every person's life, every day, then bluebirds are very tolerable of humans.", 'Once we know bluebirds are very tolerable of humans, we also know that oriental languages use very different code sets.']
|
It is rational to believe that either discernment is a part of every person's life, every day or most flowers develop from axils. On the condition that most flowers develop from axils, it is definitely the case that if many migratory animals pack together in the south during the winter, then either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime. Provided that the claim that many migratory animals pack together in the south during the winter has no merit, we know that if good sportsmanship includes the ability to win and lose gracefully, then most sand is transported from inland via rivers and streams. On the condition that the claim that many migratory animals pack together in the south during the winter has no merit, it is definitely the case that the statement, if good sportsmanship includes the ability to win and lose gracefully, then most sand is transported from inland via rivers and streams, does not hold. Should it be the case that oriental languages use very different code sets, it follows that if many migratory animals pack together in the south during the winter, then either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime. If discernment is a part of every person's life, every day, then bluebirds are very tolerable of humans. Once we know bluebirds are very tolerable of humans, we also know that oriental languages use very different code sets.
|
It is a fact that either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime.
|
Those that suggest either all hungry crocodiles are dangerous animals or scientists view space and time as one object, called spacetime are wrong.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then (Either [0] or [1].).). [SC2-2]
If [6], then (If [2], then (Either [0] or [1].).).
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Hypothetical Syllogism:
If [5], then [7]. [SC1-3]
If [7], then (If [2], then (Either [0] or [1].).).
Therefore, If [5], then (If [2], then (Either [0] or [1].).)..
[SC1-3]
Hypothetical Syllogism:
If [5], then [8].
If [8], then [7].
Therefore, If [5], then [7]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then (If [3], then [4].).
If (Not [2].), then (Not (If [3], then [4].).).
Therefore, [2].
|
{0: 'All hungry crocodiles are dangerous animals.', 1: 'Scientists view space and time as one object, called spacetime.', 2: 'Many migratory animals pack together in the south during the winter.', 3: 'Good sportsmanship includes the ability to win and lose gracefully.', 4: 'Most sand is transported from inland via rivers and streams.', 5: "Discernment is a part of every person's life, every day.", 6: 'Most flowers develop from axils.', 7: 'Oriental languages use very different code sets.', 8: 'Bluebirds are very tolerable of humans.'}
| 5 |
4,155 |
['When tamanduas live in rainforests is true, it follows that adolescence is the age when children try to bring up their parents.', 'Once we know if adrenal insufficiency can cause secondary hypermagnesemia, then bobcats live in a variety of habitats, from forest to marsh to scrub, we also know that facial liposuction is a safe procedure when done by a trained and skilled physician.', 'Provided that small birds have little trouble getting around it to feed, we know that the statement, facial liposuction is a safe procedure when done by a trained and skilled physician, does not hold.', 'We can assume that small birds have little trouble getting around it to feed.', "One may reasonably assume that if the statement that 'if tamanduas live in rainforests, then the statement that states adolescence is the age when children try to bring up their parents is false' is incorrect, then plagiarism is a rampant problem on college and university campuses today.", "Whenever it is true that plagiarism is a rampant problem on college and university campuses today, 'if adrenal insufficiency can cause secondary hypermagnesemia, then bobcats live in a variety of habitats, from forest to marsh to scrub' is true."]
|
When tamanduas live in rainforests is true, it follows that adolescence is the age when children try to bring up their parents. Once we know if adrenal insufficiency can cause secondary hypermagnesemia, then bobcats live in a variety of habitats, from forest to marsh to scrub, we also know that facial liposuction is a safe procedure when done by a trained and skilled physician. Provided that small birds have little trouble getting around it to feed, we know that the statement, facial liposuction is a safe procedure when done by a trained and skilled physician, does not hold. We can assume that small birds have little trouble getting around it to feed. One may reasonably assume that if the statement that 'if tamanduas live in rainforests, then the statement that states adolescence is the age when children try to bring up their parents is false' is incorrect, then plagiarism is a rampant problem on college and university campuses today. Whenever it is true that plagiarism is a rampant problem on college and university campuses today, 'if adrenal insufficiency can cause secondary hypermagnesemia, then bobcats live in a variety of habitats, from forest to marsh to scrub' is true.
|
It is not true that tamanduas live in rainforests.
|
It is not true that tamanduas live in rainforests.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then (Not [1].).).), then (If [4], then [5].). [SC1-3]
If (If [4], then [5].), then [2].
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [0], then (Not [1].).).), then [6].
If [6], then (If [4], then [5].).
Therefore, If (Not (If [0], then (Not [1].).).), then (If [4], then [5].)..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Tamanduas live in rainforests.', 1: 'Adolescence is the age when children try to bring up their parents.', 2: 'Facial liposuction is a safe procedure when done by a trained and skilled physician.', 3: 'Small birds have little trouble getting around it to feed.', 4: 'Adrenal insufficiency can cause secondary hypermagnesemia.', 5: 'Bobcats live in a variety of habitats, from forest to marsh to scrub.', 6: 'Plagiarism is a rampant problem on college and university campuses today.'}
| 5 |
4,487 |
["So long as the claim that gray foxes are secretive and shy, but can fight fiercely when necessary has no merit, 'the statement that states sulfur dioxide leads to acid rain, which damages water, forests, and human habitats is false' is true.", 'At least one of two things is true: either juvenile nematodes enter the insect host or gingko fruits grow only on the female trees, or winter temperature influences juvenile survival.', 'Given that either juvenile nematodes enter the insect host or gingko fruits grow only on the female trees, it can be inferred that sociology is the scientific study of human action and interaction.', 'Provided that winter temperature influences juvenile survival, we know that if the claim that gray foxes are secretive and shy, but can fight fiercely when necessary has no merit, then sulfur dioxide leads to acid rain, which damages water, forests, and human habitats.', 'It is rational to believe that either black pigment is affected more than yellow pigment or cities provide assistance.', "So long as cities provide assistance, 'the claim that sociology is the scientific study of human action and interaction does not reflect reality' is true.", 'Assuming black pigment is affected more than yellow pigment, we know that dreams are what life really is made of.', 'Assuming dreams are what life really is made of, we know that the claim that sociology is the scientific study of human action and interaction does not reflect reality.']
|
So long as the claim that gray foxes are secretive and shy, but can fight fiercely when necessary has no merit, 'the statement that states sulfur dioxide leads to acid rain, which damages water, forests, and human habitats is false' is true. At least one of two things is true: either juvenile nematodes enter the insect host or gingko fruits grow only on the female trees, or winter temperature influences juvenile survival. Given that either juvenile nematodes enter the insect host or gingko fruits grow only on the female trees, it can be inferred that sociology is the scientific study of human action and interaction. Provided that winter temperature influences juvenile survival, we know that if the claim that gray foxes are secretive and shy, but can fight fiercely when necessary has no merit, then sulfur dioxide leads to acid rain, which damages water, forests, and human habitats. It is rational to believe that either black pigment is affected more than yellow pigment or cities provide assistance. So long as cities provide assistance, 'the claim that sociology is the scientific study of human action and interaction does not reflect reality' is true. Assuming black pigment is affected more than yellow pigment, we know that dreams are what life really is made of. Assuming dreams are what life really is made of, we know that the claim that sociology is the scientific study of human action and interaction does not reflect reality.
|
It is reasonable to believe that gray foxes are secretive and shy, but can fight fiercely when necessary.
|
The claim that gray foxes are secretive and shy, but can fight fiercely when necessary is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Constructive Dilemma:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then [2].
If [7], then (If (Not [0].), then [1].).
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].). [SC2-3]
If [4], then (Not [2].).
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [8].
If [8], then (Not [2].).
Therefore, If [3], then (Not [2].)..
|
{0: 'Gray foxes are secretive and shy, but can fight fiercely when necessary.', 1: 'Sulfur dioxide leads to acid rain, which damages water, forests, and human habitats.', 2: 'Sociology is the scientific study of human action and interaction.', 3: 'Black pigment is affected more than yellow pigment.', 4: 'Cities provide assistance.', 5: 'Juvenile nematodes enter the insect host.', 6: 'Gingko fruits grow only on the female trees.', 7: 'Winter temperature influences juvenile survival.', 8: 'Dreams are what life really is made of.'}
| 5 |
4,597 |
['At least one of two things is true: tree service companies provide services, or some effects are produced by scorpion toxins.', 'When tree service companies provide services is true, it follows that sight is a reference to sensual and visual experiences.', 'When some effects are produced by scorpion toxins is true, it follows that if apes eat seeds, then some dogs have powerful feelings for their balls or chew toys.', 'Once we know sight is a reference to sensual and visual experiences, we also know that spoil banks disrupt the natural source of sediments needed for accretion and block overland flow.', "So long as spoil banks disrupt the natural source of sediments needed for accretion and block overland flow, 'it is a common misconception that men have more scars than women' is true.", 'It is not the case that most animals share landscapes.', 'When mumps is caused by the mumps virus is true, it follows that if it is a common misconception that if if apes eat seeds, then some dogs have powerful feelings for their balls or chew toys, then it is a common misconception that men have more scars than women, then most animals share landscapes.', 'The claim that mumps is caused by the mumps virus is true.']
|
At least one of two things is true: tree service companies provide services, or some effects are produced by scorpion toxins. When tree service companies provide services is true, it follows that sight is a reference to sensual and visual experiences. When some effects are produced by scorpion toxins is true, it follows that if apes eat seeds, then some dogs have powerful feelings for their balls or chew toys. Once we know sight is a reference to sensual and visual experiences, we also know that spoil banks disrupt the natural source of sediments needed for accretion and block overland flow. So long as spoil banks disrupt the natural source of sediments needed for accretion and block overland flow, 'it is a common misconception that men have more scars than women' is true. It is not the case that most animals share landscapes. When mumps is caused by the mumps virus is true, it follows that if it is a common misconception that if if apes eat seeds, then some dogs have powerful feelings for their balls or chew toys, then it is a common misconception that men have more scars than women, then most animals share landscapes. The claim that mumps is caused by the mumps virus is true.
|
It is a common misconception that men have more scars than women.
|
It is a common misconception that men have more scars than women.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [5] or [6].
If [5], then [1].
If [6], then (If [2], then [3].).
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [4].
If [4], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If (If [2], then [3].), then (Not [0].).).), then [7]. [SC1-2]
Not [7].
Therefore, If (If [2], then [3].), then (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (If (Not (If (If [2], then [3].), then (Not [0].).).), then [7].).
[8]
Therefore, If (Not (If (If [2], then [3].), then (Not [0].).).), then [7]..
|
{0: 'Men have more scars than women.', 1: 'Sight is a reference to sensual and visual experiences.', 2: 'Apes eat seeds.', 3: 'Some dogs have powerful feelings for their balls or chew toys.', 4: 'Spoil banks disrupt the natural source of sediments needed for accretion and block overland flow.', 5: 'Tree service companies provide services.', 6: 'Some effects are produced by scorpion toxins.', 7: 'Most animals share landscapes.', 8: 'Mumps is caused by the mumps virus.'}
| 5 |
4,988 |
['Provided that the statement, either antarctic krill is the key species for marine food web chain in the Antarctic waters or hormones contribute to characteristics, does not hold, we know that limpkins are mollusk specialists, and many other wading birds and corvids also eat mollusks.', 'The statement that states limpkins are mollusk specialists, and many other wading birds and corvids also eat mollusks is false.', 'Either calfs are part of cattle or columbines are flowers.', "So long as columbines are flowers, 'if antarctic krill is the key species for marine food web chain in the Antarctic waters, then some activities decrease kidney excretion' is true.", 'Assuming the claim that if hormones contribute to characteristics, then some activities decrease kidney excretion does not correspond with reality, we know that catalogs illustrate decorative designs.', 'The claim that catalogs illustrate decorative designs does not reflect reality.', "So long as calfs are part of cattle, 'men do have hormone arousals and attacks' is true.", 'When men do have hormone arousals and attacks is true, it follows that if antarctic krill is the key species for marine food web chain in the Antarctic waters, then some activities decrease kidney excretion.']
|
Provided that the statement, either antarctic krill is the key species for marine food web chain in the Antarctic waters or hormones contribute to characteristics, does not hold, we know that limpkins are mollusk specialists, and many other wading birds and corvids also eat mollusks. The statement that states limpkins are mollusk specialists, and many other wading birds and corvids also eat mollusks is false. Either calfs are part of cattle or columbines are flowers. So long as columbines are flowers, 'if antarctic krill is the key species for marine food web chain in the Antarctic waters, then some activities decrease kidney excretion' is true. Assuming the claim that if hormones contribute to characteristics, then some activities decrease kidney excretion does not correspond with reality, we know that catalogs illustrate decorative designs. The claim that catalogs illustrate decorative designs does not reflect reality. So long as calfs are part of cattle, 'men do have hormone arousals and attacks' is true. When men do have hormone arousals and attacks is true, it follows that if antarctic krill is the key species for marine food web chain in the Antarctic waters, then some activities decrease kidney excretion.
|
It is rational to agree that some activities decrease kidney excretion.
|
Some people mistakenly believe that some activities decrease kidney excretion.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [4].
Not [4].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then [0].). [SC2-2]
If [6], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC2-2]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (If [1], then [0].).
Therefore, If [5], then (If [1], then [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3].
Not [3].
Therefore, If [2], then [0]..
|
{0: 'Some activities decrease kidney excretion.', 1: 'Antarctic krill is the key species for marine food web chain in the Antarctic waters.', 2: 'Hormones contribute to characteristics.', 3: 'Catalogs illustrate decorative designs.', 4: 'Limpkins are mollusk specialists, and many other wading birds and corvids also eat mollusks.', 5: 'Calfs are part of cattle.', 6: 'Columbines are flowers.', 7: 'Men do have hormone arousals and attacks.'}
| 5 |
4,125 |
['There is good reason to believe that either if executive power is exercised jointly by the president and the government, then some female ginkgoes bear blue-green colored fruit, which turn yellow when ripe or either if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes or thatchs are plant materials.', 'The statement that states if executive power is exercised jointly by the president and the government, then some female ginkgoes bear blue-green colored fruit, which turn yellow when ripe is false.', "One may reasonably assume that if the claim that if if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes, then the notion that 'fawns are kept hidden from sight' is untrue does not correspond with reality, then some caribou grazes in lawns.", "Once we know the claim that if if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes, then the notion that 'fawns are kept hidden from sight' is untrue does not correspond with reality, we also know that the statement 'some caribou grazes in lawns' can be considered false.", "Once we know the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, we also know that the statement that 'ergotamines are alkaloids' is incorrect.", 'It is a fact that either antidepressants do have sexual adverse effects or ultraviolet radiation is rather a common method in Norway for disinfection of drinking water.', "Assuming antidepressants do have sexual adverse effects, we know that if the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, then ergotamines are alkaloids.", "Should it be the case that ultraviolet radiation is rather a common method in Norway for disinfection of drinking water, it follows that if the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, then ergotamines are alkaloids."]
|
There is good reason to believe that either if executive power is exercised jointly by the president and the government, then some female ginkgoes bear blue-green colored fruit, which turn yellow when ripe or either if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes or thatchs are plant materials. The statement that states if executive power is exercised jointly by the president and the government, then some female ginkgoes bear blue-green colored fruit, which turn yellow when ripe is false. One may reasonably assume that if the claim that if if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes, then the notion that 'fawns are kept hidden from sight' is untrue does not correspond with reality, then some caribou grazes in lawns. Once we know the claim that if if faith is a refining grace, it consecrates and purifies, then fabric softeners reduce static cling, minimize wrinkling and soften clothes, then the notion that 'fawns are kept hidden from sight' is untrue does not correspond with reality, we also know that the statement 'some caribou grazes in lawns' can be considered false. Once we know the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, we also know that the statement that 'ergotamines are alkaloids' is incorrect. It is a fact that either antidepressants do have sexual adverse effects or ultraviolet radiation is rather a common method in Norway for disinfection of drinking water. Assuming antidepressants do have sexual adverse effects, we know that if the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, then ergotamines are alkaloids. Should it be the case that ultraviolet radiation is rather a common method in Norway for disinfection of drinking water, it follows that if the claim that if thatchs are plant materials, then the notion that 'fawns are kept hidden from sight' is untrue does not reflect reality, then ergotamines are alkaloids.
|
The notion that 'fawns are kept hidden from sight' is untrue.
|
It is reasonable to believe that fawns are kept hidden from sight.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either (If [1], then [2].) or [3].).
Not (If [5], then [6].).
Therefore, Either (If [1], then [2].) or [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [4].
If (Not (If (If [1], then [2].), then (Not [0].).).), then (Not [4].).
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [0].).).), then [7]. [SC1-2]
If (Not (If [3], then (Not [0].).).), then (Not [7].).
Therefore, If [3], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If [3], then (Not [0].).).), then [7].).
If [9], then (If (Not (If [3], then (Not [0].).).), then [7].).
Therefore, If (Not (If [3], then (Not [0].).).), then [7]..
|
{0: 'Fawns are kept hidden from sight.', 1: 'Faith is a refining grace, it consecrates and purifies.', 2: 'Fabric softeners reduce static cling, minimize wrinkling and soften clothes.', 3: 'Thatchs are plant materials.', 4: 'Some caribou grazes in lawns.', 5: 'Executive power is exercised jointly by the president and the government.', 6: 'Some female ginkgoes bear blue-green colored fruit, which turn yellow when ripe.', 7: 'Ergotamines are alkaloids.', 8: 'Antidepressants do have sexual adverse effects.', 9: 'Ultraviolet radiation is rather a common method in Norway for disinfection of drinking water.'}
| 5 |
4,066 |
['Given that it is a common misconception that either climate change reduces yields by increasing the frequency of droughts and floods or most nuclei divide into daughter nuclei, it can be inferred that light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers.', 'Provided that a centipede is an arthropod, we know that lead poisoning can affect any cattle operation.', "Whenever it is true that light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers, 'inertial confinement is used in laser fusion , whereas stars use gravitational confinement' is true.", "Should it be the case that inertial confinement is used in laser fusion , whereas stars use gravitational confinement, it follows that the notion that 'lead poisoning can affect any cattle operation' is untrue.", 'Given that those that suggest if light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers, then a centipede is an arthropod are wrong, it can be inferred that either creams are an emulsion of oil and water, easily absorbed by the skin or porcelain is also very smooth, and thus easy to clean.', 'The statement that states either creams are an emulsion of oil and water, easily absorbed by the skin or porcelain is also very smooth, and thus easy to clean is false.']
|
Given that it is a common misconception that either climate change reduces yields by increasing the frequency of droughts and floods or most nuclei divide into daughter nuclei, it can be inferred that light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers. Provided that a centipede is an arthropod, we know that lead poisoning can affect any cattle operation. Whenever it is true that light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers, 'inertial confinement is used in laser fusion , whereas stars use gravitational confinement' is true. Should it be the case that inertial confinement is used in laser fusion , whereas stars use gravitational confinement, it follows that the notion that 'lead poisoning can affect any cattle operation' is untrue. Given that those that suggest if light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers, then a centipede is an arthropod are wrong, it can be inferred that either creams are an emulsion of oil and water, easily absorbed by the skin or porcelain is also very smooth, and thus easy to clean. The statement that states either creams are an emulsion of oil and water, easily absorbed by the skin or porcelain is also very smooth, and thus easy to clean is false.
|
Either climate change reduces yields by increasing the frequency of droughts and floods or most nuclei divide into daughter nuclei.
|
Either climate change reduces yields by increasing the frequency of droughts and floods or most nuclei divide into daughter nuclei.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2].
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-2]
If [2], then (Not [3].). [SC2-2]
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [5]. [SC1-3]
If [5], then [3].
Therefore, If [2], then [3]..
[SC1-3]
Modus Tonens:
If (Not (If [2], then [5].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, If [2], then [5]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Not [3].).
Therefore, If [2], then (Not [3].)..
|
{0: 'Climate change reduces yields by increasing the frequency of droughts and floods.', 1: 'Most nuclei divide into daughter nuclei.', 2: 'Light microscopy reveals large glycogen-containing vacuoles in nearly all muscle fibers.', 3: 'Lead poisoning can affect any cattle operation.', 4: 'Inertial confinement is used in laser fusion , whereas stars use gravitational confinement.', 5: 'A centipede is an arthropod.', 6: 'Creams are an emulsion of oil and water, easily absorbed by the skin.', 7: 'Porcelain is also very smooth, and thus easy to clean.'}
| 5 |
4,908 |
['One may reasonably assume that if it is not true that either most plants have vegetative phases or if some green vegetables belong to lily families, then some southern stingrays have disks, then nurses are the backbone of the American health care system.', 'It is a fact that either actuaries work in insurance, pension funds and other investment related businesses or sea has water.', "Whenever it is true that actuaries work in insurance, pension funds and other investment related businesses, 'it is not the case that most plants have vegetative phases' is true.", 'Given that sea has water, it can be inferred that it is not the case that most plants have vegetative phases.', 'On the condition that poverty has many causes, it is definitely the case that if it is not true that either most plants have vegetative phases or if some green vegetables belong to lily families, then some southern stingrays have disks, then those that suggest nurses are the backbone of the American health care system are wrong.', 'If it is not true that poverty has many causes, then hot peppers add that essential spark to all food and are rich in flavour.', "Given that it is not true that poverty has many causes, it can be inferred that the statement that 'hot peppers add that essential spark to all food and are rich in flavour' is incorrect."]
|
One may reasonably assume that if it is not true that either most plants have vegetative phases or if some green vegetables belong to lily families, then some southern stingrays have disks, then nurses are the backbone of the American health care system. It is a fact that either actuaries work in insurance, pension funds and other investment related businesses or sea has water. Whenever it is true that actuaries work in insurance, pension funds and other investment related businesses, 'it is not the case that most plants have vegetative phases' is true. Given that sea has water, it can be inferred that it is not the case that most plants have vegetative phases. On the condition that poverty has many causes, it is definitely the case that if it is not true that either most plants have vegetative phases or if some green vegetables belong to lily families, then some southern stingrays have disks, then those that suggest nurses are the backbone of the American health care system are wrong. If it is not true that poverty has many causes, then hot peppers add that essential spark to all food and are rich in flavour. Given that it is not true that poverty has many causes, it can be inferred that the statement that 'hot peppers add that essential spark to all food and are rich in flavour' is incorrect.
|
One may reasonably assume that if some green vegetables belong to lily families, then some southern stingrays have disks.
|
We know that the claim that if some green vegetables belong to lily families, then some southern stingrays have disks is false.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (If [0], then [1].).).), then [3].
If (Not (Either [2] or (If [0], then [1].).).), then (Not [3].). [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (Either [2] or (If [0], then [1].).).), then (Not [3].).).
[6] [SC2-3]
Therefore, If (Not (Either [2] or (If [0], then [1].).).), then (Not [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].).
Therefore, [6].
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [2].).
If [5], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Some green vegetables belong to lily families.', 1: 'Some southern stingrays have disks.', 2: 'Most plants have vegetative phases.', 3: 'Nurses are the backbone of the American health care system.', 4: 'Actuaries work in insurance, pension funds and other investment related businesses.', 5: 'Sea has water.', 6: 'Poverty has many causes.', 7: 'Hot peppers add that essential spark to all food and are rich in flavour.'}
| 5 |
4,511 |
['Some people mistakenly believe that if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities.', "Either one or both of these statements are true: computers are digital by nature, or if the notion that 'if the statement that states most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors is false, then if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities' is untrue, then either lantern fish have big eyes or transportation accounts for one-half of all U.S. petroleum consumption.", "Given that the notion that 'if the statement that states most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors is false, then if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities' is untrue, it can be inferred that if fast bowlers like to hunt in pairs, then some bands are part of coats.", 'On the condition that if fast bowlers like to hunt in pairs, then some bands are part of coats, it is definitely the case that it is not the case that either lantern fish have big eyes or transportation accounts for one-half of all U.S. petroleum consumption.', 'Either one or both of these statements are true: most trauma is blunt, but penetrating trauma is common with interpersonal violence and war injury, or if indigo is the most famous of the dyes from plants, then recycling saves natural and non-renewable resources.', "So long as most trauma is blunt, but penetrating trauma is common with interpersonal violence and war injury, 'the statement that 'computers are digital by nature' is incorrect' is true.", "Given that if indigo is the most famous of the dyes from plants, then recycling saves natural and non-renewable resources, it can be inferred that the statement that 'computers are digital by nature' is incorrect."]
|
Some people mistakenly believe that if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities. Either one or both of these statements are true: computers are digital by nature, or if the notion that 'if the statement that states most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors is false, then if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities' is untrue, then either lantern fish have big eyes or transportation accounts for one-half of all U.S. petroleum consumption. Given that the notion that 'if the statement that states most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors is false, then if thiotepa sometimes causes nausea, vomiting, and loss of appetite, then networks are the links that connect needs with opportunities' is untrue, it can be inferred that if fast bowlers like to hunt in pairs, then some bands are part of coats. On the condition that if fast bowlers like to hunt in pairs, then some bands are part of coats, it is definitely the case that it is not the case that either lantern fish have big eyes or transportation accounts for one-half of all U.S. petroleum consumption. Either one or both of these statements are true: most trauma is blunt, but penetrating trauma is common with interpersonal violence and war injury, or if indigo is the most famous of the dyes from plants, then recycling saves natural and non-renewable resources. So long as most trauma is blunt, but penetrating trauma is common with interpersonal violence and war injury, 'the statement that 'computers are digital by nature' is incorrect' is true. Given that if indigo is the most famous of the dyes from plants, then recycling saves natural and non-renewable resources, it can be inferred that the statement that 'computers are digital by nature' is incorrect.
|
We can assume that most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors.
|
Corals have polyp.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Either [3] or [4].). [SC1-2]
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Not (Either [3] or [4].).). [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Not [0].), then (If [1], then [2].).).), then (Either [3] or [4].).).
Not [7]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then (Either [3] or [4].)..
[SC2-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (Not [7].).
If (If [9], then [10].), then (Not [7].).
Therefore, Not [7]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (If [1], then [2].).).), then (If [5], then [6].).
If (If [5], then [6].), then (Not (Either [3] or [4].).).
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then (Not (Either [3] or [4].).)..
|
{0: 'Most corals have a sting, harmless to humans, which can damage or even kill encroaching neighbors.', 1: 'Thiotepa sometimes causes nausea, vomiting, and loss of appetite.', 2: 'Networks are the links that connect needs with opportunities.', 3: 'Lantern fish have big eyes.', 4: 'Transportation accounts for one-half of all U.S. petroleum consumption.', 5: 'Fast bowlers like to hunt in pairs.', 6: 'Some bands are part of coats.', 7: 'Computers are digital by nature.', 8: 'Most trauma is blunt, but penetrating trauma is common with interpersonal violence and war injury.', 9: 'Indigo is the most famous of the dyes from plants.', 10: 'Recycling saves natural and non-renewable resources.'}
| 5 |
4,224 |
['Once we know bridges are the architectural elements that tie Venice together, we also know that the claim that most dairy products contain additional components has no merit.', 'Provided that the claim that if bridges are the architectural elements that tie Venice together, then most dairy products contain additional components does not reflect reality, we know that if runners are jacks, then steam reforming is a simple process involving the reaction of light hydrocarbon fuels with steam.', 'Either some tiger salamanders leave water or if the claim that if the claim that if bridges are the architectural elements that tie Venice together, then most dairy products contain additional components does not reflect reality, then the statement, if runners are jacks, then steam reforming is a simple process involving the reaction of light hydrocarbon fuels with steam, does not hold does not correspond with reality, then most animals produce manure.', 'We know that the claim that some tiger salamanders leave water is false.', "So long as most animals produce manure, 'antihistamines help dry a runny nose and watery eyes' is true.", 'Should it be the case that most animals produce manure, it follows that it is a common misconception that antihistamines help dry a runny nose and watery eyes.']
|
Once we know bridges are the architectural elements that tie Venice together, we also know that the claim that most dairy products contain additional components has no merit. Provided that the claim that if bridges are the architectural elements that tie Venice together, then most dairy products contain additional components does not reflect reality, we know that if runners are jacks, then steam reforming is a simple process involving the reaction of light hydrocarbon fuels with steam. Either some tiger salamanders leave water or if the claim that if the claim that if bridges are the architectural elements that tie Venice together, then most dairy products contain additional components does not reflect reality, then the statement, if runners are jacks, then steam reforming is a simple process involving the reaction of light hydrocarbon fuels with steam, does not hold does not correspond with reality, then most animals produce manure. We know that the claim that some tiger salamanders leave water is false. So long as most animals produce manure, 'antihistamines help dry a runny nose and watery eyes' is true. Should it be the case that most animals produce manure, it follows that it is a common misconception that antihistamines help dry a runny nose and watery eyes.
|
The claim that bridges are the architectural elements that tie Venice together does not correspond with reality.
|
The claim that bridges are the architectural elements that tie Venice together does not correspond with reality.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (If [2], then [3].).
If (Not (If [0], then [1].).), then (Not (If [2], then [3].).). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If [0], then [1].).), then (Not (If [2], then [3].).)..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If (Not (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).), then [4].).
Not [5].
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'Bridges are the architectural elements that tie Venice together.', 1: 'Most dairy products contain additional components.', 2: 'Runners are jacks.', 3: 'Steam reforming is a simple process involving the reaction of light hydrocarbon fuels with steam.', 4: 'Most animals produce manure.', 5: 'Some tiger salamanders leave water.', 6: 'Antihistamines help dry a runny nose and watery eyes.'}
| 5 |
4,268 |
['There is good reason to believe that either evangelicalism prides itself on the centrality of the gospel and of salvation or if centripetal acceleration is acceleration, then blood is the most common source of infection.', 'If evangelicalism prides itself on the centrality of the gospel and of salvation, then magenta can also reflect Plutonian energies.', 'Once we know if centripetal acceleration is acceleration, then blood is the most common source of infection, we also know that anvil pruners are usually lighter in weight and are easier to sharpen.', 'The claim that fossil evidence indicates that life has changed over time holds true.', 'Given that anvil pruners are usually lighter in weight and are easier to sharpen, it can be inferred that writing plays a central role in mathematical communication.', 'Should it be the case that writing plays a central role in mathematical communication, it follows that some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary.', 'Provided that the claim that if fossil evidence indicates that life has changed over time, then if magenta can also reflect Plutonian energies, then some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary has no merit, we know that m are high-level memory abstractions where objects are located.', "Whenever it is true that the claim that if fossil evidence indicates that life has changed over time, then if magenta can also reflect Plutonian energies, then some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary has no merit, 'some people mistakenly believe that m are high-level memory abstractions where objects are located' is true."]
|
There is good reason to believe that either evangelicalism prides itself on the centrality of the gospel and of salvation or if centripetal acceleration is acceleration, then blood is the most common source of infection. If evangelicalism prides itself on the centrality of the gospel and of salvation, then magenta can also reflect Plutonian energies. Once we know if centripetal acceleration is acceleration, then blood is the most common source of infection, we also know that anvil pruners are usually lighter in weight and are easier to sharpen. The claim that fossil evidence indicates that life has changed over time holds true. Given that anvil pruners are usually lighter in weight and are easier to sharpen, it can be inferred that writing plays a central role in mathematical communication. Should it be the case that writing plays a central role in mathematical communication, it follows that some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary. Provided that the claim that if fossil evidence indicates that life has changed over time, then if magenta can also reflect Plutonian energies, then some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary has no merit, we know that m are high-level memory abstractions where objects are located. Whenever it is true that the claim that if fossil evidence indicates that life has changed over time, then if magenta can also reflect Plutonian energies, then some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary has no merit, 'some people mistakenly believe that m are high-level memory abstractions where objects are located' is true.
|
Some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary.
|
Some people mistakenly believe that pollen tubes are formed through the style and extend from the stigma to the ovary.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [4] or (If [5], then [6].).
If [4], then [1].
If (If [5], then [6].), then [2].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [3], then (If [1], then (Not [0].).). [SC1-2]
[3]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [1], then (Not [0].).).).), then [8].
If (Not (If [3], then (If [1], then (Not [0].).).).), then (Not [8].).
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC3-1]
Hypothetical Syllogism:
If [2], then [7].
If [7], then (Not [0].).
Therefore, If [2], then (Not [0].)..
|
{0: 'Pollen tubes are formed through the style and extend from the stigma to the ovary.', 1: 'Magenta can also reflect Plutonian energies.', 2: 'Anvil pruners are usually lighter in weight and are easier to sharpen.', 3: 'Fossil evidence indicates that life has changed over time.', 4: 'Evangelicalism prides itself on the centrality of the gospel and of salvation.', 5: 'Centripetal acceleration is acceleration.', 6: 'Blood is the most common source of infection.', 7: 'Writing plays a central role in mathematical communication.', 8: 'M are high-level memory abstractions where objects are located.'}
| 5 |
4,161 |
['Once we know we know that the claim that either basic care forms the core of healthy hair or if bad weather can hurt people and their property, then giant clams are also valuable for aquarium markets and for their shells, which have many uses is false, we also know that if most carnivores rely on animals, then otters swim in streams.', 'Should it be the case that basic care forms the core of healthy hair, it follows that live bait is extremely useful on the larger predatory fish like mulloway and kingfish.', 'When live bait is extremely useful on the larger predatory fish like mulloway and kingfish is true, it follows that rodents have hearts.', 'At least one of two things is true: conclusions draw from investigations, or if if bad weather can hurt people and their property, then giant clams are also valuable for aquarium markets and for their shells, which have many uses, then some beet juice contains nitrate.', 'We know that the claim that conclusions draw from investigations is false.', 'Either one or both of these statements are true: copperheads have a diamond shaped head which is set off from the relatively thin neck, or it is not the case that if most carnivores rely on animals, then otters swim in streams.', 'The claim that copperheads have a diamond shaped head which is set off from the relatively thin neck is false.']
|
Once we know we know that the claim that either basic care forms the core of healthy hair or if bad weather can hurt people and their property, then giant clams are also valuable for aquarium markets and for their shells, which have many uses is false, we also know that if most carnivores rely on animals, then otters swim in streams. Should it be the case that basic care forms the core of healthy hair, it follows that live bait is extremely useful on the larger predatory fish like mulloway and kingfish. When live bait is extremely useful on the larger predatory fish like mulloway and kingfish is true, it follows that rodents have hearts. At least one of two things is true: conclusions draw from investigations, or if if bad weather can hurt people and their property, then giant clams are also valuable for aquarium markets and for their shells, which have many uses, then some beet juice contains nitrate. We know that the claim that conclusions draw from investigations is false. Either one or both of these statements are true: copperheads have a diamond shaped head which is set off from the relatively thin neck, or it is not the case that if most carnivores rely on animals, then otters swim in streams. The claim that copperheads have a diamond shaped head which is set off from the relatively thin neck is false.
|
We know that either rodents have hearts or some beet juice contains nitrate.
|
We know that either rodents have hearts or some beet juice contains nitrate.
|
TRUE
|
Constructive Dilemma:
Either [2] or (If [3], then [4].). [SC1-1]
If [2], then [0]. [SC2-1]
If (If [3], then [4].), then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (If [3], then [4].).).), then (If [6], then [7].).
Not (If [6], then [7].). [SC2-2]
Therefore, Either [2] or (If [3], then [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (Not (If [6], then [7].).).
Not [9].
Therefore, Not (If [6], then [7].)..
[SC2-1]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [0].
Therefore, If [2], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [8] or (If (If [3], then [4].), then [1].).
Not [8].
Therefore, If (If [3], then [4].), then [1]..
|
{0: 'Rodents have hearts.', 1: 'Some beet juice contains nitrate.', 2: 'Basic care forms the core of healthy hair.', 3: 'Bad weather can hurt people and their property.', 4: 'Giant clams are also valuable for aquarium markets and for their shells, which have many uses.', 5: 'Live bait is extremely useful on the larger predatory fish like mulloway and kingfish.', 6: 'Most carnivores rely on animals.', 7: 'Otters swim in streams.', 8: 'Conclusions draw from investigations.', 9: 'Copperheads have a diamond shaped head which is set off from the relatively thin neck.'}
| 5 |
4,813 |
['On the condition that people desire share knowledge, it is definitely the case that if alkynes are hydrocarbons, then pollution is an impurity.', 'It is a fact that either all materials have a certain conductivity or heat energy is released in the condensation process.', 'One may reasonably assume that if heat energy is released in the condensation process, then alkynes are hydrocarbons.', "On the condition that the statement that 'people desire share knowledge' is incorrect, it is definitely the case that smallmouth bass are active.", "The notion that 'smallmouth bass are active' is untrue.", 'We know that either fungicides are most effective when applied before diseases spread or eagles catch birds.', 'Given that fungicides are most effective when applied before diseases spread, it can be inferred that if all materials have a certain conductivity, then alkynes are hydrocarbons.', 'One may reasonably assume that if eagles catch birds, then if all materials have a certain conductivity, then alkynes are hydrocarbons.']
|
On the condition that people desire share knowledge, it is definitely the case that if alkynes are hydrocarbons, then pollution is an impurity. It is a fact that either all materials have a certain conductivity or heat energy is released in the condensation process. One may reasonably assume that if heat energy is released in the condensation process, then alkynes are hydrocarbons. On the condition that the statement that 'people desire share knowledge' is incorrect, it is definitely the case that smallmouth bass are active. The notion that 'smallmouth bass are active' is untrue. We know that either fungicides are most effective when applied before diseases spread or eagles catch birds. Given that fungicides are most effective when applied before diseases spread, it can be inferred that if all materials have a certain conductivity, then alkynes are hydrocarbons. One may reasonably assume that if eagles catch birds, then if all materials have a certain conductivity, then alkynes are hydrocarbons.
|
Those that suggest pollution is an impurity are right.
|
Those that suggest pollution is an impurity are wrong.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If [1], then [0].).
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not [4].), then [5].
Not [5].
Therefore, [4].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [1].
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then [1].).
If [7], then (If [2], then [1].).
Therefore, If [2], then [1]..
|
{0: 'Pollution is an impurity.', 1: 'Alkynes are hydrocarbons.', 2: 'All materials have a certain conductivity.', 3: 'Heat energy is released in the condensation process.', 4: 'People desire share knowledge.', 5: 'Smallmouth bass are active.', 6: 'Fungicides are most effective when applied before diseases spread.', 7: 'Eagles catch birds.'}
| 5 |
4,618 |
['Should it be the case that we know that the claim that gardeners use several general methods to propagate plants asexually is false, it follows that rainfall affects growth.', 'We know that either managers leave companies or if titration is a procedure used for measuring the concentrations of substances in a solution, then prisons proliferate as budgets are slashed for public schools, day care, healthcare and welfare.', 'The claim that if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies does not correspond with reality.', 'Should it be the case that scenes are capable of locations, it follows that if if titration is a procedure used for measuring the concentrations of substances in a solution, then prisons proliferate as budgets are slashed for public schools, day care, healthcare and welfare, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth.', 'The claim that scenes are capable of locations is true.', 'Should it be the case that the statement, either if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies or if managers leave companies, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth, does not hold, it follows that organizations have organization structures.', 'When the statement, either if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies or if managers leave companies, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth, does not hold is true, it follows that we know that the claim that organizations have organization structures is false.']
|
Should it be the case that we know that the claim that gardeners use several general methods to propagate plants asexually is false, it follows that rainfall affects growth. We know that either managers leave companies or if titration is a procedure used for measuring the concentrations of substances in a solution, then prisons proliferate as budgets are slashed for public schools, day care, healthcare and welfare. The claim that if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies does not correspond with reality. Should it be the case that scenes are capable of locations, it follows that if if titration is a procedure used for measuring the concentrations of substances in a solution, then prisons proliferate as budgets are slashed for public schools, day care, healthcare and welfare, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth. The claim that scenes are capable of locations is true. Should it be the case that the statement, either if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies or if managers leave companies, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth, does not hold, it follows that organizations have organization structures. When the statement, either if symbols are used in Aboriginal art , to show the presence of different things , then some nutrias live in colonies or if managers leave companies, then if we know that the claim that gardeners use several general methods to propagate plants asexually is false, then it is a common misconception that rainfall affects growth, does not hold is true, it follows that we know that the claim that organizations have organization structures is false.
|
The statement 'gardeners use several general methods to propagate plants asexually' is true.
|
The statement 'gardeners use several general methods to propagate plants asexually' is true.
|
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 (If [3], then [4].).
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If (If [3], then [4].), then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [2], then (If (Not [0].), then (Not [1].).).). [SC1-3]
Not (If [5], then [6].).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [5], then [6].) or (If [2], then (If (Not [0].), then (Not [1].).).).).), then [8].
If (Not (Either (If [5], then [6].) or (If [2], then (If (Not [0].), then (Not [1].).).).).), then (Not [8].).
Therefore, Either (If [5], then [6].) or (If [2], then (If (Not [0].), then (Not [1].).).)..
[SC3-2]
Modus Ponens:
If [7], then (If (If [3], then [4].), then (If (Not [0].), then (Not [1].).).).
[7]
Therefore, If (If [3], then [4].), then (If (Not [0].), then (Not [1].).)..
|
{0: 'Gardeners use several general methods to propagate plants asexually.', 1: 'Rainfall affects growth.', 2: 'Managers leave companies.', 3: 'Titration is a procedure used for measuring the concentrations of substances in a solution.', 4: 'Prisons proliferate as budgets are slashed for public schools, day care, healthcare and welfare.', 5: 'Symbols are used in Aboriginal art , to show the presence of different things .', 6: 'Some nutrias live in colonies.', 7: 'Scenes are capable of locations.', 8: 'Organizations have organization structures.'}
| 5 |
4,676 |
['At least one of two things is true: if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, or most leaves have thin cuticles.', 'Once we know the claim that if if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, then ponds sometimes flood their banks during spring melts and heavy rains has no merit, we also know that chemists think they are physical chemists.', 'One may reasonably assume that if the claim that if if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, then ponds sometimes flood their banks during spring melts and heavy rains has no merit, then the claim that chemists think they are physical chemists does not correspond with reality.', 'Those that suggest zeolites give abyssal red clay deposits their color, particularly in the Pacific are wrong.', 'At least one of two things is true: family rooms are used for games, or if it is not the case that if most leaves have thin cuticles, then ponds sometimes flood their banks during spring melts and heavy rains, then zeolites give abyssal red clay deposits their color, particularly in the Pacific.', 'Given that family rooms are used for games, it can be inferred that ordinal numbers are numbers.', 'The claim that ordinal numbers are numbers has no merit.']
|
At least one of two things is true: if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, or most leaves have thin cuticles. Once we know the claim that if if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, then ponds sometimes flood their banks during spring melts and heavy rains has no merit, we also know that chemists think they are physical chemists. One may reasonably assume that if the claim that if if most carnivores have pharyngeal jaws, then physical activity causes a temporary increase in heart rate, then ponds sometimes flood their banks during spring melts and heavy rains has no merit, then the claim that chemists think they are physical chemists does not correspond with reality. Those that suggest zeolites give abyssal red clay deposits their color, particularly in the Pacific are wrong. At least one of two things is true: family rooms are used for games, or if it is not the case that if most leaves have thin cuticles, then ponds sometimes flood their banks during spring melts and heavy rains, then zeolites give abyssal red clay deposits their color, particularly in the Pacific. Given that family rooms are used for games, it can be inferred that ordinal numbers are numbers. The claim that ordinal numbers are numbers has no merit.
|
The statement 'ponds sometimes flood their banks during spring melts and heavy rains' is true.
|
The statement 'ponds sometimes flood their banks during spring melts and heavy rains' is true.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then [4].
If (Not (If (If [1], then [2].), then [0].).), then (Not [4].).
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [5]. [SC1-2]
Not [5].
Therefore, If [3], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If [3], then [0].).), then [5].).
Not [6]. [SC2-3]
Therefore, If (Not (If [3], then [0].).), then [5]..
[SC2-3]
Modus Tonens:
If [6], then [7].
Not [7].
Therefore, Not [6]..
|
{0: 'Ponds sometimes flood their banks during spring melts and heavy rains.', 1: 'Most carnivores have pharyngeal jaws.', 2: 'Physical activity causes a temporary increase in heart rate.', 3: 'Most leaves have thin cuticles.', 4: 'Chemists think they are physical chemists.', 5: 'Zeolites give abyssal red clay deposits their color, particularly in the Pacific.', 6: 'Family rooms are used for games.', 7: 'Ordinal numbers are numbers.'}
| 5 |
4,178 |
['Many people rightly believe that falciparum malaria is common and there was the odd case of cerebral malaria.', 'The idea that acupuncture is generally painless is true.', 'We know that either good temper is a mean with respect to anger or graphite is located in pencils.', 'The statement that states good temper is a mean with respect to anger is false.', 'If the statement, if acupuncture is generally painless, then if graphite is located in pencils, then if falciparum malaria is common and there was the odd case of cerebral malaria, then the claim that most sports require a significant amount of training to cultivate skill does not reflect reality, does not hold, then undersocialized puppies grow up to be fearful or aggressive adults.', "Given that the statement, if acupuncture is generally painless, then if graphite is located in pencils, then if falciparum malaria is common and there was the odd case of cerebral malaria, then the claim that most sports require a significant amount of training to cultivate skill does not reflect reality, does not hold, it can be inferred that the statement 'undersocialized puppies grow up to be fearful or aggressive adults' can be considered false."]
|
Many people rightly believe that falciparum malaria is common and there was the odd case of cerebral malaria. The idea that acupuncture is generally painless is true. We know that either good temper is a mean with respect to anger or graphite is located in pencils. The statement that states good temper is a mean with respect to anger is false. If the statement, if acupuncture is generally painless, then if graphite is located in pencils, then if falciparum malaria is common and there was the odd case of cerebral malaria, then the claim that most sports require a significant amount of training to cultivate skill does not reflect reality, does not hold, then undersocialized puppies grow up to be fearful or aggressive adults. Given that the statement, if acupuncture is generally painless, then if graphite is located in pencils, then if falciparum malaria is common and there was the odd case of cerebral malaria, then the claim that most sports require a significant amount of training to cultivate skill does not reflect reality, does not hold, it can be inferred that the statement 'undersocialized puppies grow up to be fearful or aggressive adults' can be considered false.
|
The claim that most sports require a significant amount of training to cultivate skill does not reflect reality.
|
It is not true that sports are played all over the world, media everywhere cover sports and the Internet is universal.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [1], then (Not [0].).). [SC1-2]
[2] [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (If [1], then (Not [0].).).). [SC1-3]
[3]
Therefore, If [2], then (If [1], then (Not [0].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then (If [2], then (If [1], then (Not [0].).).).).), then [5].
If (Not (If [3], then (If [2], then (If [1], then (Not [0].).).).).), then (Not [5].).
Therefore, If [3], then (If [2], then (If [1], then (Not [0].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [2].
Not [4].
Therefore, [2].
|
{0: 'Most sports require a significant amount of training to cultivate skill.', 1: 'Falciparum malaria is common and there was the odd case of cerebral malaria.', 2: 'Graphite is located in pencils.', 3: 'Acupuncture is generally painless.', 4: 'Good temper is a mean with respect to anger.', 5: 'Undersocialized puppies grow up to be fearful or aggressive adults.'}
| 5 |
4,950 |
['One may reasonably assume that if the claim that either abortion is just another type of birth control or it is a common misconception that younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs does not correspond with reality, then directors have (part) cells.', 'We know that the claim that directors have (part) cells is false.', 'On the condition that opossums help maintain a clean and healthy environment, it is definitely the case that the claim that abortion is just another type of birth control has no merit.', 'Assuming species are biological entities that change, we know that either opossums help maintain a clean and healthy environment or products require tests.', 'It is reasonable to believe that species are biological entities that change.', "Whenever it is true that if stonefishs have (part) sterna, then a call girl is a whore, 'if products require tests, then the claim that abortion is just another type of birth control has no merit' is true.", 'If stonefishs have (part) sterna, then a call girl is a whore.']
|
One may reasonably assume that if the claim that either abortion is just another type of birth control or it is a common misconception that younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs does not correspond with reality, then directors have (part) cells. We know that the claim that directors have (part) cells is false. On the condition that opossums help maintain a clean and healthy environment, it is definitely the case that the claim that abortion is just another type of birth control has no merit. Assuming species are biological entities that change, we know that either opossums help maintain a clean and healthy environment or products require tests. It is reasonable to believe that species are biological entities that change. Whenever it is true that if stonefishs have (part) sterna, then a call girl is a whore, 'if products require tests, then the claim that abortion is just another type of birth control has no merit' is true. If stonefishs have (part) sterna, then a call girl is a whore.
|
It is a common misconception that younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs.
|
Some people mistakenly believe that alkalinity is significant in many uses and treatments of natural waters and wastewater.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2].
Therefore, Either [1] or (Not [0].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not [1].).
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5]
Therefore, Either [3] or [4]..
[SC3-2]
Modus Ponens:
If (If [6], then [7].), then (If [4], then (Not [1].).).
If [6], then [7].
Therefore, If [4], then (Not [1].)..
|
{0: 'Younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs.', 1: 'Abortion is just another type of birth control.', 2: 'Directors have (part) cells.', 3: 'Opossums help maintain a clean and healthy environment.', 4: 'Products require tests.', 5: 'Species are biological entities that change.', 6: 'Stonefishs have (part) sterna.', 7: 'A call girl is a whore.'}
| 5 |
4,415 |
["When if personal problems can affect an employee's sense of well-being and ability to perform on the job, then common loons are threatened because their habitat is being destroyed is true, it follows that if referent is defined as the object or event to which a term or symbol is referred, then most oil has many health benefits.", "Should it be the case that personal problems can affect an employee's sense of well-being and ability to perform on the job, it follows that common loons are threatened because their habitat is being destroyed.", 'It is a fact that either folic acid has a higher absorption rate than natural occurring folate or some babies leave buds.', 'Given that folic acid has a higher absorption rate than natural occurring folate, it can be inferred that if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false.', 'On the condition that the claim that if some babies leave buds, then if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false has no merit, it is definitely the case that the claim that young rats require more protein in the form of milk, cooked meat or complete dried dog food does not correspond with reality.', 'Should it be the case that the claim that if some babies leave buds, then if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false has no merit, it follows that scarlet oak is oak.', 'One may reasonably assume that if scarlet oak is oak, then young rats require more protein in the form of milk, cooked meat or complete dried dog food.']
|
When if personal problems can affect an employee's sense of well-being and ability to perform on the job, then common loons are threatened because their habitat is being destroyed is true, it follows that if referent is defined as the object or event to which a term or symbol is referred, then most oil has many health benefits. Should it be the case that personal problems can affect an employee's sense of well-being and ability to perform on the job, it follows that common loons are threatened because their habitat is being destroyed. It is a fact that either folic acid has a higher absorption rate than natural occurring folate or some babies leave buds. Given that folic acid has a higher absorption rate than natural occurring folate, it can be inferred that if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false. On the condition that the claim that if some babies leave buds, then if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false has no merit, it is definitely the case that the claim that young rats require more protein in the form of milk, cooked meat or complete dried dog food does not correspond with reality. Should it be the case that the claim that if some babies leave buds, then if referent is defined as the object or event to which a term or symbol is referred, then the claim that most oil has many health benefits is false has no merit, it follows that scarlet oak is oak. One may reasonably assume that if scarlet oak is oak, then young rats require more protein in the form of milk, cooked meat or complete dried dog food.
|
The statement that states referent is defined as the object or event to which a term or symbol is referred is false.
|
The idea that referent is defined as the object or event to which a term or symbol is referred is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If [0], then [1].).
If [4], then [5].
Therefore, If [0], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then (Not [1].).).
If [3], then (If [0], then (Not [1].).). [SC3-2]
Therefore, If [0], then (Not [1].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [0], then (Not [1].).).).), then [6]. [SC1-3]
If (Not (If [3], then (If [0], then (Not [1].).).).), then (Not [6].).
Therefore, If [3], then (If [0], then (Not [1].).)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [3], then (If [0], then (Not [1].).).).), then [7].
If [7], then [6].
Therefore, If (Not (If [3], then (If [0], then (Not [1].).).).), then [6]..
|
{0: 'Referent is defined as the object or event to which a term or symbol is referred.', 1: 'Most oil has many health benefits.', 2: 'Folic acid has a higher absorption rate than natural occurring folate.', 3: 'Some babies leave buds.', 4: "Personal problems can affect an employee's sense of well-being and ability to perform on the job.", 5: 'Common loons are threatened because their habitat is being destroyed.', 6: 'Young rats require more protein in the form of milk, cooked meat or complete dried dog food.', 7: 'Scarlet oak is oak.'}
| 5 |
4,100 |
['Once we know organelles play vital roles in various cellular activities, we also know that habitats support life.', 'Either one or both of these statements are true: either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, or it is not true that habitats support life.', 'When either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages is true, it follows that the claim that mealybugs are another common pest does not correspond with reality.', 'Once we know the statement that states if either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, then mealybugs are another common pest is false, we also know that either microchiropteran bats do echolocate and are a much more diverse and widely distributed group or time is eternal because questioning drives time out of time.', 'One may reasonably assume that if if peace is the primary concern and preoccupation of women in Syria, then prostaglandin is lipids, then if the statement that states if either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, then mealybugs are another common pest is false, then we know that the claim that either microchiropteran bats do echolocate and are a much more diverse and widely distributed group or time is eternal because questioning drives time out of time is false.', 'Given that peace is the primary concern and preoccupation of women in Syria, it can be inferred that prostaglandin is lipids.']
|
Once we know organelles play vital roles in various cellular activities, we also know that habitats support life. Either one or both of these statements are true: either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, or it is not true that habitats support life. When either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages is true, it follows that the claim that mealybugs are another common pest does not correspond with reality. Once we know the statement that states if either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, then mealybugs are another common pest is false, we also know that either microchiropteran bats do echolocate and are a much more diverse and widely distributed group or time is eternal because questioning drives time out of time. One may reasonably assume that if if peace is the primary concern and preoccupation of women in Syria, then prostaglandin is lipids, then if the statement that states if either owls normally hide excess food and get back to find and consume later or people experiencing a sense of loss normally move through a series of emotional stages, then mealybugs are another common pest is false, then we know that the claim that either microchiropteran bats do echolocate and are a much more diverse and widely distributed group or time is eternal because questioning drives time out of time is false. Given that peace is the primary concern and preoccupation of women in Syria, it can be inferred that prostaglandin is lipids.
|
It is not true that organelles play vital roles in various cellular activities.
|
The statement, organelles are membrane-bordered functional unities of the cell, does not hold.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Not [1].).
Not (Either [2] or [3].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Either [2] or [3].), then [4]. [SC1-3]
If (Either [2] or [3].), then (Not [4].).
Therefore, Not (Either [2] or [3].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then [4].).), then (Either [5] or [6].).
If (Not (If (Either [2] or [3].), then [4].).), then (Not (Either [5] or [6].).). [SC2-4]
Therefore, If (Either [2] or [3].), then [4]..
[SC2-4]
Modus Ponens:
If (If [7], then [8].), then (If (Not (If (Either [2] or [3].), then [4].).), then (Not (Either [5] or [6].).).).
If [7], then [8].
Therefore, If (Not (If (Either [2] or [3].), then [4].).), then (Not (Either [5] or [6].).)..
|
{0: 'Organelles play vital roles in various cellular activities.', 1: 'Habitats support life.', 2: 'Owls normally hide excess food and get back to find and consume later.', 3: 'People experiencing a sense of loss normally move through a series of emotional stages.', 4: 'Mealybugs are another common pest.', 5: 'Microchiropteran bats do echolocate and are a much more diverse and widely distributed group.', 6: 'Time is eternal because questioning drives time out of time.', 7: 'Peace is the primary concern and preoccupation of women in Syria.', 8: 'Prostaglandin is lipids.'}
| 5 |
4,733 |
['Assuming some people mistakenly believe that if markets are purely instrumental means for the efficient allocation of resources, then cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells, we know that propulsion is an act.', 'If either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, then if some people mistakenly believe that if markets are purely instrumental means for the efficient allocation of resources, then cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells, then those that suggest propulsion is an act are wrong.', 'Provided that the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, we know that the claim that corruption causes inefficiency and unfairness has no merit.', 'Once we know it is a common misconception that if the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, then corruption causes inefficiency and unfairness, we also know that the statement, structures serve similar functions, does not hold.', 'Assuming some large lizards become domestic pets, we know that if it is a common misconception that if the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, then corruption causes inefficiency and unfairness, then structures serve similar functions.', 'some large lizards become domestic pets.']
|
Assuming some people mistakenly believe that if markets are purely instrumental means for the efficient allocation of resources, then cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells, we know that propulsion is an act. If either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, then if some people mistakenly believe that if markets are purely instrumental means for the efficient allocation of resources, then cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells, then those that suggest propulsion is an act are wrong. Provided that the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, we know that the claim that corruption causes inefficiency and unfairness has no merit. Once we know it is a common misconception that if the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, then corruption causes inefficiency and unfairness, we also know that the statement, structures serve similar functions, does not hold. Assuming some large lizards become domestic pets, we know that if it is a common misconception that if the statement, either normal force is the force at which one surface is being pushed into another or some people believe that death is the entrance to real life for everybody, does not hold, then corruption causes inefficiency and unfairness, then structures serve similar functions. some large lizards become domestic pets.
|
Assuming markets are purely instrumental means for the efficient allocation of resources, we know that cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells.
|
Provided that markets offer growth potential, we know that cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (If (Not (If [0], then [1].).), then (Not [2].).).
Either [3] or [4]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then [5]. [SC1-3]
If (Not (Either [3] or [4].).), then (Not [5].).
Therefore, Either [3] or [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [3] or [4].).), then [5].).), then [6]. [SC1-4]
If (Not (If (Not (Either [3] or [4].).), then [5].).), then (Not [6].).
Therefore, If (Not (Either [3] or [4].).), then [5]..
[SC1-4]
Modus Ponens:
If [7], then (If (Not (If (Not (Either [3] or [4].).), then [5].).), then [6].).
[7]
Therefore, If (Not (If (Not (Either [3] or [4].).), then [5].).), then [6]..
|
{0: 'Markets are purely instrumental means for the efficient allocation of resources.', 1: 'Cnidarians also lack certain tissue types found in other animal phyla, such as true muscle cells.', 2: 'Propulsion is an act.', 3: 'Normal force is the force at which one surface is being pushed into another.', 4: 'Some people believe that death is the entrance to real life for everybody.', 5: 'Corruption causes inefficiency and unfairness.', 6: 'Structures serve similar functions.', 7: 'Some large lizards become domestic pets.'}
| 5 |
4,689 |
['The statement that states meditation can be as simple as mentally focusing on breathing, a word, or an image is false.', 'It is not true that tooth decay can occur after repeated acid attacks.', 'It is rational to believe that either either carpenter bees can become a nuisance by boring into the wood in houses during the spring or quackgrass is a strongly rhizomatous, sod-forming, perennial grass or death is the crisis of life.', "If either carpenter bees can become a nuisance by boring into the wood in houses during the spring or quackgrass is a strongly rhizomatous, sod-forming, perennial grass, then if the statement, if the notion that 'music evokes an emotional response in people, and at the very core of all healing is emotion' is untrue, then glacial valleys are distinctive for their U-shape, does not hold, then meditation can be as simple as mentally focusing on breathing, a word, or an image.", "One may reasonably assume that if death is the crisis of life, then if the statement, if the notion that 'music evokes an emotional response in people, and at the very core of all healing is emotion' is untrue, then glacial valleys are distinctive for their U-shape, does not hold, then meditation can be as simple as mentally focusing on breathing, a word, or an image.", 'Once we know some people mistakenly believe that either tooth decay can occur after repeated acid attacks or the statement, glacial valleys are distinctive for their U-shape, does not hold, we also know that some dioxide has high pressure.', "Once we know some people mistakenly believe that either tooth decay can occur after repeated acid attacks or the statement, glacial valleys are distinctive for their U-shape, does not hold, we also know that the notion that 'some dioxide has high pressure' is untrue."]
|
The statement that states meditation can be as simple as mentally focusing on breathing, a word, or an image is false. It is not true that tooth decay can occur after repeated acid attacks. It is rational to believe that either either carpenter bees can become a nuisance by boring into the wood in houses during the spring or quackgrass is a strongly rhizomatous, sod-forming, perennial grass or death is the crisis of life. If either carpenter bees can become a nuisance by boring into the wood in houses during the spring or quackgrass is a strongly rhizomatous, sod-forming, perennial grass, then if the statement, if the notion that 'music evokes an emotional response in people, and at the very core of all healing is emotion' is untrue, then glacial valleys are distinctive for their U-shape, does not hold, then meditation can be as simple as mentally focusing on breathing, a word, or an image. One may reasonably assume that if death is the crisis of life, then if the statement, if the notion that 'music evokes an emotional response in people, and at the very core of all healing is emotion' is untrue, then glacial valleys are distinctive for their U-shape, does not hold, then meditation can be as simple as mentally focusing on breathing, a word, or an image. Once we know some people mistakenly believe that either tooth decay can occur after repeated acid attacks or the statement, glacial valleys are distinctive for their U-shape, does not hold, we also know that some dioxide has high pressure. Once we know some people mistakenly believe that either tooth decay can occur after repeated acid attacks or the statement, glacial valleys are distinctive for their U-shape, does not hold, we also know that the notion that 'some dioxide has high pressure' is untrue.
|
It is a simple truth that music evokes an emotional response in people, and at the very core of all healing is emotion.
|
It is a simple truth that music evokes an emotional response in people, and at the very core of all healing is emotion.
|
TRUE
|
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 [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (If (Not (If (Not [0].), then [1].).), then [2].).
If [6], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].). [SC1-2]
Not [3].
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [1].).).), then [7].
If (Not (Either [3] or (Not [1].).).), then (Not [7].).
Therefore, Either [3] or (Not [1].)..
|
{0: 'Music evokes an emotional response in people, and at the very core of all healing is emotion.', 1: 'Glacial valleys are distinctive for their U-shape.', 2: 'Meditation can be as simple as mentally focusing on breathing, a word, or an image.', 3: 'Tooth decay can occur after repeated acid attacks.', 4: 'Carpenter bees can become a nuisance by boring into the wood in houses during the spring.', 5: 'Quackgrass is a strongly rhizomatous, sod-forming, perennial grass.', 6: 'Death is the crisis of life.', 7: 'Some dioxide has high pressure.'}
| 5 |
4,229 |
['It is fair to say that mahogany is a relatively light hardwood and produces a resonant, responsive instrument.', 'One may reasonably assume that if those that suggest stains have pigments that can settle out quickly, especially in dark colors are wrong, then hormones are a strange thing and can make a person or a horse act nothing like themselves.', 'The claim that hormones are a strange thing and can make a person or a horse act nothing like themselves is false.', 'When mahogany is a relatively light hardwood and produces a resonant, responsive instrument is true, it follows that databases are an important way of organizing and analyzing large amount of information.', 'Should it be the case that the statement, if databases are an important way of organizing and analyzing large amount of information, then if stains have pigments that can settle out quickly, especially in dark colors, then if chloride is compounds, then many women wish to work part-time when their children are small, does not hold, it follows that packrats get their water by ingesting desert plants.', 'The claim that packrats get their water by ingesting desert plants does not correspond with reality.']
|
It is fair to say that mahogany is a relatively light hardwood and produces a resonant, responsive instrument. One may reasonably assume that if those that suggest stains have pigments that can settle out quickly, especially in dark colors are wrong, then hormones are a strange thing and can make a person or a horse act nothing like themselves. The claim that hormones are a strange thing and can make a person or a horse act nothing like themselves is false. When mahogany is a relatively light hardwood and produces a resonant, responsive instrument is true, it follows that databases are an important way of organizing and analyzing large amount of information. Should it be the case that the statement, if databases are an important way of organizing and analyzing large amount of information, then if stains have pigments that can settle out quickly, especially in dark colors, then if chloride is compounds, then many women wish to work part-time when their children are small, does not hold, it follows that packrats get their water by ingesting desert plants. The claim that packrats get their water by ingesting desert plants does not correspond with reality.
|
When chloride is compounds is true, it follows that many women wish to work part-time when their children are small.
|
Should it be the case that chloride is compounds, it follows that women have years.
|
Uncertain
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (If [0], then [1].).). [SC1-2]
[3]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If [2], then (If [0], then [1].).). [SC2-3]
Therefore, If [3], then (If [2], then (If [0], then [1].).)..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (If [2], then (If [0], then [1].).).).), then [6].
Not [6].
Therefore, If [5], then (If [2], then (If [0], then [1].).)..
[SC2-1]
Modus Tonens:
If (Not [2].), then [4].
Not [4].
Therefore, [2].
|
{0: 'Chloride is compounds.', 1: 'Many women wish to work part-time when their children are small.', 2: 'Stains have pigments that can settle out quickly, especially in dark colors.', 3: 'Mahogany is a relatively light hardwood and produces a resonant, responsive instrument.', 4: 'Hormones are a strange thing and can make a person or a horse act nothing like themselves.', 5: 'Databases are an important way of organizing and analyzing large amount of information.', 6: 'Packrats get their water by ingesting desert plants.'}
| 5 |
4,334 |
["Either few birds have the audacity to spend the winter in the planet's northernmost regions or some reptiles hide in forests.", 'When some reptiles hide in forests is true, it follows that man is the only animal known to have hunted orcas.', "Given that sour cream is a staple in a hungarian kitchen, it can be inferred that if few birds have the audacity to spend the winter in the planet's northernmost regions, then either communion is also an act of obedience or eaters consume meat.", "It is a fact that either cheerleaders cheer at all football games and perform during half time or some ethicists say limits on the number of embryos transferred violates a couple's freedom.", "So long as cheerleaders cheer at all football games and perform during half time, 'if either communion is also an act of obedience or eaters consume meat, then man is the only animal known to have hunted orcas' is true.", "Given that some ethicists say limits on the number of embryos transferred violates a couple's freedom, it can be inferred that if either communion is also an act of obedience or eaters consume meat, then man is the only animal known to have hunted orcas.", 'At least one of two things is true: either situated cognition is behaviorism for liberals or different societies have different morals, or sour cream is a staple in a hungarian kitchen.', "The notion that 'either situated cognition is behaviorism for liberals or different societies have different morals' is untrue."]
|
Either few birds have the audacity to spend the winter in the planet's northernmost regions or some reptiles hide in forests. When some reptiles hide in forests is true, it follows that man is the only animal known to have hunted orcas. Given that sour cream is a staple in a hungarian kitchen, it can be inferred that if few birds have the audacity to spend the winter in the planet's northernmost regions, then either communion is also an act of obedience or eaters consume meat. It is a fact that either cheerleaders cheer at all football games and perform during half time or some ethicists say limits on the number of embryos transferred violates a couple's freedom. So long as cheerleaders cheer at all football games and perform during half time, 'if either communion is also an act of obedience or eaters consume meat, then man is the only animal known to have hunted orcas' is true. Given that some ethicists say limits on the number of embryos transferred violates a couple's freedom, it can be inferred that if either communion is also an act of obedience or eaters consume meat, then man is the only animal known to have hunted orcas. At least one of two things is true: either situated cognition is behaviorism for liberals or different societies have different morals, or sour cream is a staple in a hungarian kitchen. The notion that 'either situated cognition is behaviorism for liberals or different societies have different morals' is untrue.
|
The idea that man is the only animal known to have hunted orcas is true.
|
Many men feel their partner is passive sexually.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [5], then (If [1], then (Either [3] or [4].).).
[5] [SC2-3]
Therefore, If [1], then (Either [3] or [4].)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [8] or [9].) or [5].
Not (Either [8] or [9].).
Therefore, [5].
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Either [3] or [4].), then [0].).
If [7], then (If (Either [3] or [4].), then [0].).
Therefore, If (Either [3] or [4].), then [0]..
|
{0: 'Man is the only animal known to have hunted orcas.', 1: "Few birds have the audacity to spend the winter in the planet's northernmost regions.", 2: 'Some reptiles hide in forests.', 3: 'Communion is also an act of obedience.', 4: 'Eaters consume meat.', 5: 'Sour cream is a staple in a hungarian kitchen.', 6: 'Cheerleaders cheer at all football games and perform during half time.', 7: "Some ethicists say limits on the number of embryos transferred violates a couple's freedom.", 8: 'Situated cognition is behaviorism for liberals.', 9: 'Different societies have different morals.'}
| 5 |
4,627 |
['The claim that most membranes contain receptors has no merit.', 'Either one or both of these statements are true: either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, or corn is the nations largest crop.', "Given that corn is the nations largest crop, it can be inferred that the statement 'local governments have the primary responsibility for land use planning' can be considered false.", "Whenever it is true that either some fabrics are so stretchy that they can actually force themselves down the throat plate or most monkeys have glands, 'either most membranes contain receptors or either local governments have the primary responsibility for land use planning or ostriches are bigger than any other bird in the world' is true.", 'There is good reason to believe that either some fabrics are so stretchy that they can actually force themselves down the throat plate or most monkeys have glands.', "On the condition that we know that the claim that if either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, then the statement 'local governments have the primary responsibility for land use planning' can be considered false is false, it is definitely the case that primary amines have one carbon bonded to the nitrogen.", "On the condition that we know that the claim that if either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, then the statement 'local governments have the primary responsibility for land use planning' can be considered false is false, it is definitely the case that the claim that primary amines have one carbon bonded to the nitrogen does not reflect reality."]
|
The claim that most membranes contain receptors has no merit. Either one or both of these statements are true: either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, or corn is the nations largest crop. Given that corn is the nations largest crop, it can be inferred that the statement 'local governments have the primary responsibility for land use planning' can be considered false. Whenever it is true that either some fabrics are so stretchy that they can actually force themselves down the throat plate or most monkeys have glands, 'either most membranes contain receptors or either local governments have the primary responsibility for land use planning or ostriches are bigger than any other bird in the world' is true. There is good reason to believe that either some fabrics are so stretchy that they can actually force themselves down the throat plate or most monkeys have glands. On the condition that we know that the claim that if either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, then the statement 'local governments have the primary responsibility for land use planning' can be considered false is false, it is definitely the case that primary amines have one carbon bonded to the nitrogen. On the condition that we know that the claim that if either smoking is the most common method of using marijuana or corolla is cream in color when fully expanded, then the statement 'local governments have the primary responsibility for land use planning' can be considered false is false, it is definitely the case that the claim that primary amines have one carbon bonded to the nitrogen does not reflect reality.
|
It is reasonable to believe that ostriches are bigger than any other bird in the world.
|
It is reasonable to believe that ostriches are bigger than any other bird in the world.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either [1] or [0].). [SC1-2]
Not [5].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If (Either [7] or [8].), then (Either [5] or (Either [1] or [0].).).
Either [7] or [8].
Therefore, Either [5] or (Either [1] or [0].)..
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (Not [1].). [SC2-2]
If [4], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then (Not [1].).).), then [6].
If (Not (If (Either [2] or [3].), then (Not [1].).).), then (Not [6].).
Therefore, If (Either [2] or [3].), then (Not [1].)..
|
{0: 'Ostriches are bigger than any other bird in the world.', 1: 'Local governments have the primary responsibility for land use planning.', 2: 'Smoking is the most common method of using marijuana.', 3: 'Corolla is cream in color when fully expanded.', 4: 'Corn is the nations largest crop.', 5: 'Most membranes contain receptors.', 6: 'Primary amines have one carbon bonded to the nitrogen.', 7: 'Some fabrics are so stretchy that they can actually force themselves down the throat plate.', 8: 'Most monkeys have glands.'}
| 5 |
4,702 |
['Either accidental deaths do occur while tending traps on the water or some tolerance has diabetes.', 'Given that accidental deaths do occur while tending traps on the water, it can be inferred that a fireclay is clay.', 'Once we know felines have a naturally pH acidic system, we also know that if some tolerance has diabetes, then a fireclay is clay.', 'The claim that dugongs are important in maintaining the health of seagrass meadows does not reflect reality.', 'It is a fact that either culture is to humans what water is to fish or most echidnas have mouths.', 'Given that culture is to humans what water is to fish, it can be inferred that if bond funds are, for the most part, invested in government and corporate bonds and debentures, then if some tolerance has diabetes, then a fireclay is clay.', 'Once we know most echidnas have mouths, we also know that if bond funds are, for the most part, invested in government and corporate bonds and debentures, then if some tolerance has diabetes, then a fireclay is clay.', "Assuming computers can operate as environments , we know that if the statement that 'either bond funds are, for the most part, invested in government and corporate bonds and debentures or felines have a naturally pH acidic system' is incorrect, then dugongs are important in maintaining the health of seagrass meadows.", 'The statement that states computers can operate as environments is right.']
|
Either accidental deaths do occur while tending traps on the water or some tolerance has diabetes. Given that accidental deaths do occur while tending traps on the water, it can be inferred that a fireclay is clay. Once we know felines have a naturally pH acidic system, we also know that if some tolerance has diabetes, then a fireclay is clay. The claim that dugongs are important in maintaining the health of seagrass meadows does not reflect reality. It is a fact that either culture is to humans what water is to fish or most echidnas have mouths. Given that culture is to humans what water is to fish, it can be inferred that if bond funds are, for the most part, invested in government and corporate bonds and debentures, then if some tolerance has diabetes, then a fireclay is clay. Once we know most echidnas have mouths, we also know that if bond funds are, for the most part, invested in government and corporate bonds and debentures, then if some tolerance has diabetes, then a fireclay is clay. Assuming computers can operate as environments , we know that if the statement that 'either bond funds are, for the most part, invested in government and corporate bonds and debentures or felines have a naturally pH acidic system' is incorrect, then dugongs are important in maintaining the health of seagrass meadows. The statement that states computers can operate as environments is right.
|
It is a simple truth that a fireclay is clay.
|
It is not the case that a fireclay is clay.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [2], then [0].). [SC2-2]
If [4], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [7]. [SC1-3]
Not [7].
Therefore, Either [3] or [4]..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (Either [3] or [4].).), then [7].).
[8]
Therefore, If (Not (Either [3] or [4].).), then [7]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (If [2], then [0].).).
If [6], then (If [3], then (If [2], then [0].).).
Therefore, If [3], then (If [2], then [0].)..
|
{0: 'A fireclay is clay.', 1: 'Accidental deaths do occur while tending traps on the water.', 2: 'Some tolerance has diabetes.', 3: 'Bond funds are, for the most part, invested in government and corporate bonds and debentures.', 4: 'Felines have a naturally pH acidic system.', 5: 'Culture is to humans what water is to fish.', 6: 'Most echidnas have mouths.', 7: 'Dugongs are important in maintaining the health of seagrass meadows.', 8: 'Computers can operate as environments .'}
| 5 |
4,878 |
["So long as reproductive isolation can arise through disruptive selection, 'if if some moths pollinate african orchids, then a firewood is fuel, then dogs are gray' is true.", 'We know that at least one of two things is true: people are grocers, or e minor is the relative minor of G major.', 'Assuming e minor is the relative minor of G major, we know that if some moths pollinate african orchids, then a firewood is fuel.', 'There is good reason to believe that either either cats directly walk on their toes or knives are the best and most ancient tools that had been invented by mankind or reproductive isolation can arise through disruptive selection.', 'The claim that either cats directly walk on their toes or knives are the best and most ancient tools that had been invented by mankind does not correspond with reality.', 'We know that either systems thinking is an important factor in solving global problems or metabolism involves both catabolism, and anabolism.', 'Once we know systems thinking is an important factor in solving global problems, we also know that if people are grocers, then if some moths pollinate african orchids, then a firewood is fuel.', 'On the condition that metabolism involves both catabolism, and anabolism, it is definitely the case that if people are grocers, then if some moths pollinate african orchids, then a firewood is fuel.']
|
So long as reproductive isolation can arise through disruptive selection, 'if if some moths pollinate african orchids, then a firewood is fuel, then dogs are gray' is true. We know that at least one of two things is true: people are grocers, or e minor is the relative minor of G major. Assuming e minor is the relative minor of G major, we know that if some moths pollinate african orchids, then a firewood is fuel. There is good reason to believe that either either cats directly walk on their toes or knives are the best and most ancient tools that had been invented by mankind or reproductive isolation can arise through disruptive selection. The claim that either cats directly walk on their toes or knives are the best and most ancient tools that had been invented by mankind does not correspond with reality. We know that either systems thinking is an important factor in solving global problems or metabolism involves both catabolism, and anabolism. Once we know systems thinking is an important factor in solving global problems, we also know that if people are grocers, then if some moths pollinate african orchids, then a firewood is fuel. On the condition that metabolism involves both catabolism, and anabolism, it is definitely the case that if people are grocers, then if some moths pollinate african orchids, then a firewood is fuel.
|
It is fair to say that dogs are gray.
|
The statement that 'dogs are gray' is incorrect.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (If [1], then [2].), then [0].).
[3] [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or [3].
Not (Either [6] or [7].).
Therefore, [3].
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [2].). [SC2-2]
If [5], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then (If [1], then [2].).).
If [9], then (If [4], then (If [1], then [2].).).
Therefore, If [4], then (If [1], then [2].)..
|
{0: 'Dogs are gray.', 1: 'Some moths pollinate african orchids.', 2: 'A firewood is fuel.', 3: 'Reproductive isolation can arise through disruptive selection.', 4: 'People are grocers.', 5: 'E minor is the relative minor of G major.', 6: 'Cats directly walk on their toes.', 7: 'Knives are the best and most ancient tools that had been invented by mankind.', 8: 'Systems thinking is an important factor in solving global problems.', 9: 'Metabolism involves both catabolism, and anabolism.'}
| 5 |
4,482 |
['There is good reason to believe that either snakes have hibernaculum in area and are feeding well or most horses lead life.', "One may reasonably assume that if snakes have hibernaculum in area and are feeding well, then if the statement that 'creatures rely on environments' is incorrect, then if pagan religion is religion, then organizations include members.", "So long as most horses lead life, 'if the statement that 'creatures rely on environments' is incorrect, then if pagan religion is religion, then organizations include members' is true.", "The statement that 'either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids' is incorrect.", 'Assuming earthworms are classified as animals, we know that mobility involves the actual movement from place to place.', 'Provided that the statement that states if if earthworms are classified as animals, then mobility involves the actual movement from place to place, then if if pagan religion is religion, then organizations include members, then either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids is false, we know that some people suggest that goose populations are damaging ecosystems.', "Whenever it is true that the statement that states if if earthworms are classified as animals, then mobility involves the actual movement from place to place, then if if pagan religion is religion, then organizations include members, then either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids is false, 'the statement that 'some people suggest that goose populations are damaging ecosystems' is incorrect' is true."]
|
There is good reason to believe that either snakes have hibernaculum in area and are feeding well or most horses lead life. One may reasonably assume that if snakes have hibernaculum in area and are feeding well, then if the statement that 'creatures rely on environments' is incorrect, then if pagan religion is religion, then organizations include members. So long as most horses lead life, 'if the statement that 'creatures rely on environments' is incorrect, then if pagan religion is religion, then organizations include members' is true. The statement that 'either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids' is incorrect. Assuming earthworms are classified as animals, we know that mobility involves the actual movement from place to place. Provided that the statement that states if if earthworms are classified as animals, then mobility involves the actual movement from place to place, then if if pagan religion is religion, then organizations include members, then either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids is false, we know that some people suggest that goose populations are damaging ecosystems. Whenever it is true that the statement that states if if earthworms are classified as animals, then mobility involves the actual movement from place to place, then if if pagan religion is religion, then organizations include members, then either astronomers provide evidence or birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids is false, 'the statement that 'some people suggest that goose populations are damaging ecosystems' is incorrect' is true.
|
The statement 'creatures rely on environments' can be considered true.
|
Those that suggest creatures rely on environments are wrong.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then (If [1], then [2].).).
If [4], then (If (Not [0].), then (If [1], then [2].).).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then (Either [5] or [6].). [SC1-2]
Not (Either [5] or [6].).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (If (If [1], then [2].), then (Either [5] or [6].).). [SC1-3]
If [7], then [8].
Therefore, If (If [1], then [2].), then (Either [5] or [6].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [7], then [8].), then (If (If [1], then [2].), then (Either [5] or [6].).).).), then [9].
If (Not (If (If [7], then [8].), then (If (If [1], then [2].), then (Either [5] or [6].).).).), then (Not [9].).
Therefore, If (If [7], then [8].), then (If (If [1], then [2].), then (Either [5] or [6].).)..
|
{0: 'Creatures rely on environments.', 1: 'Pagan religion is religion.', 2: 'Organizations include members.', 3: 'Snakes have hibernaculum in area and are feeding well.', 4: 'Most horses lead life.', 5: 'Astronomers provide evidence.', 6: 'Birds feed on berries and seeds found in hedgerow borders while ladybirds gorge on aphids.', 7: 'Earthworms are classified as animals.', 8: 'Mobility involves the actual movement from place to place.', 9: 'Some people suggest that goose populations are damaging ecosystems.'}
| 5 |
4,919 |
['Either one or both of these statements are true: prisons have addresses, or either peptides are therefore an important factor of neuronal plasticity or plants occur singly although clusters are more common.', 'It is rational to believe that either towns are cities or it is not true that peptides are therefore an important factor of neuronal plasticity.', 'It is not true that towns are cities.', 'At least one of two things is true: either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, or if wind chill is the perceived temperature to the human body based on both air temperature and wind, then dust explosion is possible if in powder or granular form, mixed with air.', 'When if wind chill is the perceived temperature to the human body based on both air temperature and wind, then dust explosion is possible if in powder or granular form, mixed with air is true, it follows that it is a common misconception that prisons have addresses.', 'Once we know those that suggest if either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, then it is a common misconception that prisons have addresses are wrong, we also know that photosynthesis stops for months.', 'When those that suggest if either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, then it is a common misconception that prisons have addresses are wrong is true, it follows that it is not the case that photosynthesis stops for months.']
|
Either one or both of these statements are true: prisons have addresses, or either peptides are therefore an important factor of neuronal plasticity or plants occur singly although clusters are more common. It is rational to believe that either towns are cities or it is not true that peptides are therefore an important factor of neuronal plasticity. It is not true that towns are cities. At least one of two things is true: either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, or if wind chill is the perceived temperature to the human body based on both air temperature and wind, then dust explosion is possible if in powder or granular form, mixed with air. When if wind chill is the perceived temperature to the human body based on both air temperature and wind, then dust explosion is possible if in powder or granular form, mixed with air is true, it follows that it is a common misconception that prisons have addresses. Once we know those that suggest if either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, then it is a common misconception that prisons have addresses are wrong, we also know that photosynthesis stops for months. When those that suggest if either some leaves survive winter or greyhounds have very short fur, which is easy to maintain, then it is a common misconception that prisons have addresses are wrong is true, it follows that it is not the case that photosynthesis stops for months.
|
It is a simple truth that plants occur singly although clusters are more common.
|
Some people mistakenly believe that plants occur singly although clusters are more common.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].).
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunction Elimination:
Either (Either [4] or [5].) or (If [6], then [7].).
If (Either [4] or [5].), then (Not [2].). [SC2-3]
If (If [6], then [7].), then (Not [2].).
Therefore, Not [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (Not [2].).).), then [8].
If (Not (If (Either [4] or [5].), then (Not [2].).).), then (Not [8].).
Therefore, If (Either [4] or [5].), then (Not [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].).
Not [3].
Therefore, Not [1]..
|
{0: 'Plants occur singly although clusters are more common.', 1: 'Peptides are therefore an important factor of neuronal plasticity.', 2: 'Prisons have addresses.', 3: 'Towns are cities.', 4: 'Some leaves survive winter.', 5: 'Greyhounds have very short fur, which is easy to maintain.', 6: 'Wind chill is the perceived temperature to the human body based on both air temperature and wind.', 7: 'Dust explosion is possible if in powder or granular form, mixed with air.', 8: 'Photosynthesis stops for months.'}
| 5 |
4,220 |
['If either some salt is synthesized in livers or capybaras are the largest living rodents, then the claim that shrubs have (part) xylem does not reflect reality.', 'It is fair to say that several companies manufacture fluorescent tubes specifically designed for plant growth.', 'It is a fact that either animations are images that appear to move or either dogs consider eye contact a threatening gesture or a fighter aircraft is a military plane.', 'Once we know animations are images that appear to move, we also know that if either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms, then the claim that shrubs have (part) xylem does not reflect reality.', 'Given that either dogs consider eye contact a threatening gesture or a fighter aircraft is a military plane, it can be inferred that if either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms, then the claim that shrubs have (part) xylem does not reflect reality.', 'We know that either ovarian cancer is caused by malignancies that occur in the ovaries or if several companies manufacture fluorescent tubes specifically designed for plant growth, then either either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms or either some salt is synthesized in livers or capybaras are the largest living rodents.', 'On the condition that many women work part-time or put careers on hold to raise a family or take care of a sick parent, it is definitely the case that the statement that states ovarian cancer is caused by malignancies that occur in the ovaries is false.', "The statement 'many women work part-time or put careers on hold to raise a family or take care of a sick parent' can be considered true."]
|
If either some salt is synthesized in livers or capybaras are the largest living rodents, then the claim that shrubs have (part) xylem does not reflect reality. It is fair to say that several companies manufacture fluorescent tubes specifically designed for plant growth. It is a fact that either animations are images that appear to move or either dogs consider eye contact a threatening gesture or a fighter aircraft is a military plane. Once we know animations are images that appear to move, we also know that if either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms, then the claim that shrubs have (part) xylem does not reflect reality. Given that either dogs consider eye contact a threatening gesture or a fighter aircraft is a military plane, it can be inferred that if either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms, then the claim that shrubs have (part) xylem does not reflect reality. We know that either ovarian cancer is caused by malignancies that occur in the ovaries or if several companies manufacture fluorescent tubes specifically designed for plant growth, then either either hearing starts with the outer ear or chromosomes take different shapes in different types of organisms or either some salt is synthesized in livers or capybaras are the largest living rodents. On the condition that many women work part-time or put careers on hold to raise a family or take care of a sick parent, it is definitely the case that the statement that states ovarian cancer is caused by malignancies that occur in the ovaries is false. The statement 'many women work part-time or put careers on hold to raise a family or take care of a sick parent' can be considered true.
|
The claim that shrubs have (part) xylem does not reflect reality.
|
Those that suggest shrubs include alders are wrong.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or (Either [3] or [4].). [SC1-1]
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If (Either [3] or [4].), then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [8], then (Either (Either [1] or [2].) or (Either [3] or [4].).). [SC1-2]
[8]
Therefore, Either (Either [1] or [2].) or (Either [3] or [4].)..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (If [8], then (Either (Either [1] or [2].) or (Either [3] or [4].).).).
Not [9]. [SC2-3]
Therefore, If [8], then (Either (Either [1] or [2].) or (Either [3] or [4].).)..
[SC2-3]
Modus Ponens:
If [10], then (Not [9].).
[10]
Therefore, Not [9]..
[SC2-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Either [1] or [2].), then (Not [0].).).
If (Either [6] or [7].), then (If (Either [1] or [2].), then (Not [0].).).
Therefore, If (Either [1] or [2].), then (Not [0].)..
|
{0: 'Shrubs have (part) xylem.', 1: 'Hearing starts with the outer ear.', 2: 'Chromosomes take different shapes in different types of organisms.', 3: 'Some salt is synthesized in livers.', 4: 'Capybaras are the largest living rodents.', 5: 'Animations are images that appear to move.', 6: 'Dogs consider eye contact a threatening gesture.', 7: 'A fighter aircraft is a military plane.', 8: 'Several companies manufacture fluorescent tubes specifically designed for plant growth.', 9: 'Ovarian cancer is caused by malignancies that occur in the ovaries.', 10: 'Many women work part-time or put careers on hold to raise a family or take care of a sick parent.'}
| 5 |
4,391 |
["So long as french Toast is the country's largest provider of school uniforms, 'canoes are small boats' is true.", "If we know that the claim that if french Toast is the country's largest provider of school uniforms, then the notion that 'canoes are small boats' is untrue is false, then a custard is a dish.", "On the condition that the statement that states if either capsules are containers that hold a single item or some madagascar cockroaches produce sound, then if we know that the claim that if french Toast is the country's largest provider of school uniforms, then the notion that 'canoes are small boats' is untrue is false, then it is not the case that a custard is a dish is false, it is definitely the case that young animals have to learn to look after themselves in the wild.", "The notion that 'young animals have to learn to look after themselves in the wild' is untrue.", "At least one of two things is true: cultural barriers limit tobacco users' motivation and efforts to quit, or gunshot wounds are the eighth leading cause of death in the United States.", "On the condition that cultural barriers limit tobacco users' motivation and efforts to quit, it is definitely the case that either capsules are containers that hold a single item or some madagascar cockroaches produce sound.", 'Provided that gunshot wounds are the eighth leading cause of death in the United States, we know that either capsules are containers that hold a single item or some madagascar cockroaches produce sound.']
|
So long as french Toast is the country's largest provider of school uniforms, 'canoes are small boats' is true. If we know that the claim that if french Toast is the country's largest provider of school uniforms, then the notion that 'canoes are small boats' is untrue is false, then a custard is a dish. On the condition that the statement that states if either capsules are containers that hold a single item or some madagascar cockroaches produce sound, then if we know that the claim that if french Toast is the country's largest provider of school uniforms, then the notion that 'canoes are small boats' is untrue is false, then it is not the case that a custard is a dish is false, it is definitely the case that young animals have to learn to look after themselves in the wild. The notion that 'young animals have to learn to look after themselves in the wild' is untrue. At least one of two things is true: cultural barriers limit tobacco users' motivation and efforts to quit, or gunshot wounds are the eighth leading cause of death in the United States. On the condition that cultural barriers limit tobacco users' motivation and efforts to quit, it is definitely the case that either capsules are containers that hold a single item or some madagascar cockroaches produce sound. Provided that gunshot wounds are the eighth leading cause of death in the United States, we know that either capsules are containers that hold a single item or some madagascar cockroaches produce sound.
|
The claim that french Toast is the country's largest provider of school uniforms does not reflect reality.
|
The claim that french Toast is the country's largest provider of school uniforms is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [2].
If (Not (If [0], then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If (Either [3] or [4].), then (If (Not (If [0], then (Not [1].).).), then (Not [2].).). [SC1-3]
Either [3] or [4]. [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [2].)..
[SC1-3]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (If (Not (If [0], then (Not [1].).).), then (Not [2].).).).), then [7].
Not [7].
Therefore, If (Either [3] or [4].), then (If (Not (If [0], then (Not [1].).).), then (Not [2].).)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [3] or [4].).
If [6], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
|
{0: "French Toast is the country's largest provider of school uniforms.", 1: 'Canoes are small boats.', 2: 'A custard is a dish.', 3: 'Capsules are containers that hold a single item .', 4: 'Some madagascar cockroaches produce sound.', 5: "Cultural barriers limit tobacco users' motivation and efforts to quit.", 6: 'Gunshot wounds are the eighth leading cause of death in the United States.', 7: 'Young animals have to learn to look after themselves in the wild.'}
| 5 |
4,912 |
["Given that vampires suck blood, it can be inferred that the statement 'triton is the largest natural satellite of the planet Neptune ' can be considered false.", 'Provided that we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, we know that boys have (part) nuclei.', 'Should it be the case that boys have (part) nuclei, it follows that dolphins can make sounds to see what lies ahead.', 'We know that either custards are located in refrigerators or cats own everything they walk on, over, or under.', 'One may reasonably assume that if custards are located in refrigerators, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead.', "Provided that the statement 'if cats own everything they walk on, over, or under, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead' can be considered false, we know that if lysophosphatidic acid induces necrosis and apoptosis in hippocampal neurons, then lesbians earn the same amount less per hour than men as straight women do.", "If the statement 'if cats own everything they walk on, over, or under, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead' can be considered false, then the claim that if lysophosphatidic acid induces necrosis and apoptosis in hippocampal neurons, then lesbians earn the same amount less per hour than men as straight women do does not correspond with reality."]
|
Given that vampires suck blood, it can be inferred that the statement 'triton is the largest natural satellite of the planet Neptune ' can be considered false. Provided that we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, we know that boys have (part) nuclei. Should it be the case that boys have (part) nuclei, it follows that dolphins can make sounds to see what lies ahead. We know that either custards are located in refrigerators or cats own everything they walk on, over, or under. One may reasonably assume that if custards are located in refrigerators, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead. Provided that the statement 'if cats own everything they walk on, over, or under, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead' can be considered false, we know that if lysophosphatidic acid induces necrosis and apoptosis in hippocampal neurons, then lesbians earn the same amount less per hour than men as straight women do. If the statement 'if cats own everything they walk on, over, or under, then if we know that the claim that if vampires suck blood, then triton is the largest natural satellite of the planet Neptune is false, then some people mistakenly believe that dolphins can make sounds to see what lies ahead' can be considered false, then the claim that if lysophosphatidic acid induces necrosis and apoptosis in hippocampal neurons, then lesbians earn the same amount less per hour than men as straight women do does not correspond with reality.
|
The claim that vampires suck blood is false.
|
The claim that vampires suck blood is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [5].
If [5], then [2].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).).
If [4], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC3-3]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).).), then (If [6], then [7].).
If (Not (If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).).), then (Not (If [6], then [7].).).
Therefore, If [4], then (If (Not (If [0], then [1].).), then (Not [2].).)..
|
{0: 'Vampires suck blood.', 1: 'Triton is the largest natural satellite of the planet Neptune .', 2: 'Dolphins can make sounds to see what lies ahead.', 3: 'Custards are located in refrigerators.', 4: 'Cats own everything they walk on, over, or under.', 5: 'Boys have (part) nuclei.', 6: 'Lysophosphatidic acid induces necrosis and apoptosis in hippocampal neurons.', 7: 'Lesbians earn the same amount less per hour than men as straight women do.'}
| 5 |
4,427 |
['If some ingestion depends on temperature, then either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes.', 'Provided that either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes, we know that galleys are kitchens.', "One may reasonably assume that if either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes, then the statement that 'galleys are kitchens' is incorrect.", "Whenever it is true that the claim that continuous noise is noise which remains constant and stable over a given time period does not correspond with reality, 'constables have (part) cell membranes' is true.", 'We know that at least one of two things is true: food sources are plentiful from land and sea, or migration is a seasonal movement of an animal.', 'If food sources are plentiful from land and sea, then if constables have (part) cell membranes, then some ingestion depends on temperature.', 'Provided that migration is a seasonal movement of an animal, we know that if constables have (part) cell membranes, then some ingestion depends on temperature.']
|
If some ingestion depends on temperature, then either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes. Provided that either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes, we know that galleys are kitchens. One may reasonably assume that if either wired networks are particularly vulnerable to eavesdropping or dead trees provide homes, then the statement that 'galleys are kitchens' is incorrect. Whenever it is true that the claim that continuous noise is noise which remains constant and stable over a given time period does not correspond with reality, 'constables have (part) cell membranes' is true. We know that at least one of two things is true: food sources are plentiful from land and sea, or migration is a seasonal movement of an animal. If food sources are plentiful from land and sea, then if constables have (part) cell membranes, then some ingestion depends on temperature. Provided that migration is a seasonal movement of an animal, we know that if constables have (part) cell membranes, then some ingestion depends on temperature.
|
continuous noise is noise which remains constant and stable over a given time period.
|
We know that the claim that continuous noise is noise which remains constant and stable over a given time period is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [4]. [SC1-2]
If [4], then (Either [1] or [2].).
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [5].
If [5], then [4]. [SC2-3]
Therefore, If (Not [0].), then [4]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [5], then [4].).
If [7], then (If [5], then [4].).
Therefore, If [5], then [4]..
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3].
If (Either [1] or [2].), then (Not [3].).
Therefore, Not (Either [1] or [2].)..
|
{0: 'Continuous noise is noise which remains constant and stable over a given time period.', 1: 'Wired networks are particularly vulnerable to eavesdropping.', 2: 'Dead trees provide homes.', 3: 'Galleys are kitchens.', 4: 'Some ingestion depends on temperature.', 5: 'Constables have (part) cell membranes.', 6: 'Food sources are plentiful from land and sea.', 7: 'Migration is a seasonal movement of an animal.'}
| 5 |
4,309 |
['Given that the statement that states a makeover is a reconstruction is false, it can be inferred that infections can lead to death due to poor respiratory function.', "So long as it is a common misconception that if the claim that if the statement that states a makeover is a reconstruction is false, then some people mistakenly believe that infections can lead to death due to poor respiratory function does not reflect reality, then juvenile delinquents commit crimes as a way to lash out at overly-strict parents, 'introverts tend to think about things before talking' is true.", 'If juvenile delinquents commit crimes as a way to lash out at overly-strict parents, then totalitarianism is a modelled modernisation.', 'One may reasonably assume that if juvenile delinquents commit crimes as a way to lash out at overly-strict parents, then the claim that totalitarianism is a modelled modernisation does not correspond with reality.', "If most modern cultivars are parthenocarpic, then the notion that 'introverts tend to think about things before talking' is untrue.", 'It is reasonable to believe that most modern cultivars are parthenocarpic.']
|
Given that the statement that states a makeover is a reconstruction is false, it can be inferred that infections can lead to death due to poor respiratory function. So long as it is a common misconception that if the claim that if the statement that states a makeover is a reconstruction is false, then some people mistakenly believe that infections can lead to death due to poor respiratory function does not reflect reality, then juvenile delinquents commit crimes as a way to lash out at overly-strict parents, 'introverts tend to think about things before talking' is true. If juvenile delinquents commit crimes as a way to lash out at overly-strict parents, then totalitarianism is a modelled modernisation. One may reasonably assume that if juvenile delinquents commit crimes as a way to lash out at overly-strict parents, then the claim that totalitarianism is a modelled modernisation does not correspond with reality. If most modern cultivars are parthenocarpic, then the notion that 'introverts tend to think about things before talking' is untrue. It is reasonable to believe that most modern cultivars are parthenocarpic.
|
It is a simple truth that a makeover is a reconstruction.
|
It is a simple truth that a makeover is a reconstruction.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [2].).), then [3].
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC2-3]
Modus Ponens:
If [5], then (Not [3].).
[5]
Therefore, Not [3]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].).
Therefore, Not [2]..
|
{0: 'A makeover is a reconstruction.', 1: 'Infections can lead to death due to poor respiratory function.', 2: 'Juvenile delinquents commit crimes as a way to lash out at overly-strict parents.', 3: 'Introverts tend to think about things before talking.', 4: 'Totalitarianism is a modelled modernisation.', 5: 'Most modern cultivars are parthenocarpic.'}
| 5 |
4,775 |
['It is rational to believe that either nylon strings are the modern version of gut strings, used for classical and flamenco guitars or most fish eaters feed on small school fish.', "Assuming nylon strings are the modern version of gut strings, used for classical and flamenco guitars, we know that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then it is a common misconception that damaged sperm can cause miscarriages.", "On the condition that most fish eaters feed on small school fish, it is definitely the case that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then it is a common misconception that damaged sperm can cause miscarriages.", "On the condition that it is not true that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then true democracy is the embodied spirit of the Declaration of Independence, it is definitely the case that air pressure decreases as altitude increases.", "On the condition that it is not true that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then true democracy is the embodied spirit of the Declaration of Independence, it is definitely the case that the claim that air pressure decreases as altitude increases does not correspond with reality.", "Whenever it is true that it is not true that if true democracy is the embodied spirit of the Declaration of Independence, then damaged sperm can cause miscarriages, 'electronic mail is a primitive form of workflow technology' is true.", 'Should it be the case that it is not true that if true democracy is the embodied spirit of the Declaration of Independence, then damaged sperm can cause miscarriages, it follows that we know that the claim that electronic mail is a primitive form of workflow technology is false.']
|
It is rational to believe that either nylon strings are the modern version of gut strings, used for classical and flamenco guitars or most fish eaters feed on small school fish. Assuming nylon strings are the modern version of gut strings, used for classical and flamenco guitars, we know that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then it is a common misconception that damaged sperm can cause miscarriages. On the condition that most fish eaters feed on small school fish, it is definitely the case that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then it is a common misconception that damaged sperm can cause miscarriages. On the condition that it is not true that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then true democracy is the embodied spirit of the Declaration of Independence, it is definitely the case that air pressure decreases as altitude increases. On the condition that it is not true that if the statement 'truth is what a judge or jury says is the truth' can be considered false, then true democracy is the embodied spirit of the Declaration of Independence, it is definitely the case that the claim that air pressure decreases as altitude increases does not correspond with reality. Whenever it is true that it is not true that if true democracy is the embodied spirit of the Declaration of Independence, then damaged sperm can cause miscarriages, 'electronic mail is a primitive form of workflow technology' is true. Should it be the case that it is not true that if true democracy is the embodied spirit of the Declaration of Independence, then damaged sperm can cause miscarriages, it follows that we know that the claim that electronic mail is a primitive form of workflow technology is false.
|
The statement 'truth is what a judge or jury says is the truth' is true.
|
The statement 'truth is what a judge or jury says is the truth' is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [4]. [SC1-2]
If [4], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [4].).), then [6].
If (Not (If (Not [0].), then [4].).), then (Not [6].).
Therefore, If (Not [0].), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [5].
If (Not (If [4], then [1].).), then (Not [5].).
Therefore, If [4], then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Truth is what a judge or jury says is the truth.', 1: 'Damaged sperm can cause miscarriages.', 2: 'Nylon strings are the modern version of gut strings, used for classical and flamenco guitars.', 3: 'Most fish eaters feed on small school fish.', 4: 'True democracy is the embodied spirit of the Declaration of Independence.', 5: 'Electronic mail is a primitive form of workflow technology.', 6: 'Air pressure decreases as altitude increases.'}
| 5 |
4,885 |
['It is rational to believe that either ducks share water or cooking is the leading cause of all residential fires and fire injuries.', 'On the condition that if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich, it is definitely the case that the statement, ducks share water, does not hold.', 'One may reasonably assume that if the claim that if the statement that states if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich is false, then complete proteins provide all of the essential amino acids does not reflect reality, then cells take highly varied forms in different plants, animals, and microorganisms.', 'The claim that cells take highly varied forms in different plants, animals, and microorganisms does not correspond with reality.', "So long as the claim that if the statement that states if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich is false, then the statement that states complete proteins provide all of the essential amino acids is false does not reflect reality, 'a terry is cloth' is true.", 'The statement that states a terry is cloth is false.']
|
It is rational to believe that either ducks share water or cooking is the leading cause of all residential fires and fire injuries. On the condition that if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich, it is definitely the case that the statement, ducks share water, does not hold. One may reasonably assume that if the claim that if the statement that states if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich is false, then complete proteins provide all of the essential amino acids does not reflect reality, then cells take highly varied forms in different plants, animals, and microorganisms. The claim that cells take highly varied forms in different plants, animals, and microorganisms does not correspond with reality. So long as the claim that if the statement that states if inhibition is hard work, then birds come in all shapes and sizes, including the ostrich is false, then the statement that states complete proteins provide all of the essential amino acids is false does not reflect reality, 'a terry is cloth' is true. The statement that states a terry is cloth is false.
|
We can assume that cooking is the leading cause of all residential fires and fire injuries.
|
We can assume that cooking is the leading cause of all residential fires and fire injuries.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (Not [1].).
If [2], then [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [4]. [SC1-3]
If (Not (If [2], then [3].).), then (Not [4].). [SC2-3]
Therefore, If [2], then [3]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then [3].).), then [4].).), then [6].
Not [6].
Therefore, If (Not (If [2], then [3].).), then [4]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [2], then [3].).), then (Not [4].).).), then [5].
Not [5].
Therefore, If (Not (If [2], then [3].).), then (Not [4].)..
|
{0: 'Cooking is the leading cause of all residential fires and fire injuries.', 1: 'Ducks share water.', 2: 'Inhibition is hard work.', 3: 'Birds come in all shapes and sizes, including the ostrich.', 4: 'Complete proteins provide all of the essential amino acids.', 5: 'A terry is cloth.', 6: 'Cells take highly varied forms in different plants, animals, and microorganisms.'}
| 5 |
4,015 |
["So long as skua gulls are the greatest natural threat to chicks and eggs, 'if the notion that 'food consists of mammals' is untrue, then researchers genetically engineer hybrid seeds, for example, to maximize crop yields' is true.", 'It is reasonable to believe that skua gulls are the greatest natural threat to chicks and eggs.', 'Should it be the case that researchers genetically engineer hybrid seeds, for example, to maximize crop yields, it follows that either affected lambs have a swollen throat or badgers live a lifestyle that is based on digging for prey.', "Should it be the case that the statement that 'if researchers genetically engineer hybrid seeds, for example, to maximize crop yields, then the claim that either affected lambs have a swollen throat or badgers live a lifestyle that is based on digging for prey is false' is incorrect, it follows that most babies have fevers.", 'On the condition that most babies have fevers, it is definitely the case that if most water helps constipation, then decongestants cause the blood vessels to narrow, thus, leading to the clearing of nasal congestion.', 'When most babies have fevers is true, it follows that some people mistakenly believe that if most water helps constipation, then decongestants cause the blood vessels to narrow, thus, leading to the clearing of nasal congestion.']
|
So long as skua gulls are the greatest natural threat to chicks and eggs, 'if the notion that 'food consists of mammals' is untrue, then researchers genetically engineer hybrid seeds, for example, to maximize crop yields' is true. It is reasonable to believe that skua gulls are the greatest natural threat to chicks and eggs. Should it be the case that researchers genetically engineer hybrid seeds, for example, to maximize crop yields, it follows that either affected lambs have a swollen throat or badgers live a lifestyle that is based on digging for prey. Should it be the case that the statement that 'if researchers genetically engineer hybrid seeds, for example, to maximize crop yields, then the claim that either affected lambs have a swollen throat or badgers live a lifestyle that is based on digging for prey is false' is incorrect, it follows that most babies have fevers. On the condition that most babies have fevers, it is definitely the case that if most water helps constipation, then decongestants cause the blood vessels to narrow, thus, leading to the clearing of nasal congestion. When most babies have fevers is true, it follows that some people mistakenly believe that if most water helps constipation, then decongestants cause the blood vessels to narrow, thus, leading to the clearing of nasal congestion.
|
Those that suggest food consists of mammals are right.
|
Food contains red dye.
|
Uncertain
|
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]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [3] or [4].).
If [1], then (Not (Either [3] or [4].).). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not (Either [3] or [4].).).).), then [5].
Not [5]. [SC2-3]
Therefore, If [1], then (Not (Either [3] or [4].).)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then (If [6], then [7].).
If [5], then (Not (If [6], then [7].).).
Therefore, Not [5]..
|
{0: 'Food consists of mammals.', 1: 'Researchers genetically engineer hybrid seeds, for example, to maximize crop yields.', 2: 'Skua gulls are the greatest natural threat to chicks and eggs.', 3: 'Affected lambs have a swollen throat.', 4: 'Badgers live a lifestyle that is based on digging for prey.', 5: 'Most babies have fevers.', 6: 'Most water helps constipation.', 7: 'Decongestants cause the blood vessels to narrow, thus, leading to the clearing of nasal congestion.'}
| 5 |
4,493 |
['The claim that fermentation occurs in the absence of oxygen has no merit.', "Whenever it is true that the notion that 'either fermentation occurs in the absence of oxygen or the statement that 'either synthetic hormones are patentable allowing a vast potential for profit or spirituality concerns itself with the question of how to lead a deeply committed Christian life' is incorrect' is untrue, 'comprehensive universities are a resource for research on teaching and learning' is true.", 'Should it be the case that comprehensive universities are a resource for research on teaching and learning, it follows that either most people change in stages or kingfishers eat small fish and frogs.', "Whenever it is true that either most people change in stages or kingfishers eat small fish and frogs, 'the claim that beekeepers also name honeys after the terrain they come from does not correspond with reality' is true.", 'If either most people change in stages or kingfishers eat small fish and frogs, then either most animals live on diets or some electron tubes are part of processors.', 'Once we know either most animals live on diets or some electron tubes are part of processors, we also know that beekeepers also name honeys after the terrain they come from.']
|
The claim that fermentation occurs in the absence of oxygen has no merit. Whenever it is true that the notion that 'either fermentation occurs in the absence of oxygen or the statement that 'either synthetic hormones are patentable allowing a vast potential for profit or spirituality concerns itself with the question of how to lead a deeply committed Christian life' is incorrect' is untrue, 'comprehensive universities are a resource for research on teaching and learning' is true. Should it be the case that comprehensive universities are a resource for research on teaching and learning, it follows that either most people change in stages or kingfishers eat small fish and frogs. Whenever it is true that either most people change in stages or kingfishers eat small fish and frogs, 'the claim that beekeepers also name honeys after the terrain they come from does not correspond with reality' is true. If either most people change in stages or kingfishers eat small fish and frogs, then either most animals live on diets or some electron tubes are part of processors. Once we know either most animals live on diets or some electron tubes are part of processors, we also know that beekeepers also name honeys after the terrain they come from.
|
The statement that 'either synthetic hormones are patentable allowing a vast potential for profit or spirituality concerns itself with the question of how to lead a deeply committed Christian life' is incorrect.
|
The statement that 'either synthetic hormones are patentable allowing a vast potential for profit or spirituality concerns itself with the question of how to lead a deeply committed Christian life' is incorrect.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Not (Either [0] or [1].).). [SC1-1]
Not [2].
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (Not (Either [0] or [1].).).).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, Either [2] or (Not (Either [0] or [1].).)..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [2] or (Not (Either [0] or [1].).).).), then [6].
If [6], then (Either [3] or [4].).
Therefore, If (Not (Either [2] or (Not (Either [0] or [1].).).).), then (Either [3] or [4].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then [5]. [SC1-3]
If (Either [3] or [4].), then (Not [5].).
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Hypothetical Syllogism:
If (Either [3] or [4].), then (Either [7] or [8].).
If (Either [7] or [8].), then [5].
Therefore, If (Either [3] or [4].), then [5]..
|
{0: 'Synthetic hormones are patentable allowing a vast potential for profit.', 1: 'Spirituality concerns itself with the question of how to lead a deeply committed Christian life.', 2: 'Fermentation occurs in the absence of oxygen.', 3: 'Most people change in stages.', 4: 'Kingfishers eat small fish and frogs.', 5: 'Beekeepers also name honeys after the terrain they come from.', 6: 'Comprehensive universities are a resource for research on teaching and learning.', 7: 'Most animals live on diets.', 8: 'Some electron tubes are part of processors.'}
| 5 |
4,245 |
['Once we know it is a common misconception that if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then mixed asthma is the most common form of asthma, we also know that the statement that states devices convert thermal energy is false.', "Once we know the notion that 'if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then some people mistakenly believe that mixed asthma is the most common form of asthma' is untrue, we also know that most sunlight contributes to heat.", "It is a fact that either if physiological oxidation happens inside an animal's body through various metabolic pathways, then plants work well in beds, border, containers and baskets or if it is a common misconception that if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then mixed asthma is the most common form of asthma, then devices convert thermal energy.", "The claim that if physiological oxidation happens inside an animal's body through various metabolic pathways, then plants work well in beds, border, containers and baskets does not reflect reality.", "It is rational to believe that either medicine aims at maintaining human health and preventing illness and disease or if the notion that 'if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then some people mistakenly believe that mixed asthma is the most common form of asthma' is untrue, then the claim that most sunlight contributes to heat does not reflect reality.", 'The claim that medicine aims at maintaining human health and preventing illness and disease is false.']
|
Once we know it is a common misconception that if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then mixed asthma is the most common form of asthma, we also know that the statement that states devices convert thermal energy is false. Once we know the notion that 'if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then some people mistakenly believe that mixed asthma is the most common form of asthma' is untrue, we also know that most sunlight contributes to heat. It is a fact that either if physiological oxidation happens inside an animal's body through various metabolic pathways, then plants work well in beds, border, containers and baskets or if it is a common misconception that if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then mixed asthma is the most common form of asthma, then devices convert thermal energy. The claim that if physiological oxidation happens inside an animal's body through various metabolic pathways, then plants work well in beds, border, containers and baskets does not reflect reality. It is rational to believe that either medicine aims at maintaining human health and preventing illness and disease or if the notion that 'if the claim that either flea beetles are shiny black, jumping beetles about inch long or water ponding in a depression forms a lake does not correspond with reality, then some people mistakenly believe that mixed asthma is the most common form of asthma' is untrue, then the claim that most sunlight contributes to heat does not reflect reality. The claim that medicine aims at maintaining human health and preventing illness and disease is false.
|
We know that at least one of two things is true: flea beetles are shiny black, jumping beetles about inch long, or water ponding in a depression forms a lake.
|
Either one or both of these statements are true: most flea beetles have wide host ranges, or water is essential for life and underpins both economic and social development.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [4]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [4].).
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [4].).
Not (If [5], then [6].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then [4]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [3].
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].).).
Not [7].
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].)..
|
{0: 'Flea beetles are shiny black, jumping beetles about inch long.', 1: 'Water ponding in a depression forms a lake.', 2: 'Mixed asthma is the most common form of asthma.', 3: 'Most sunlight contributes to heat.', 4: 'Devices convert thermal energy.', 5: "Physiological oxidation happens inside an animal's body through various metabolic pathways.", 6: 'Plants work well in beds, border, containers and baskets.', 7: 'Medicine aims at maintaining human health and preventing illness and disease.'}
| 5 |
4,898 |
['Given that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, it can be inferred that either smallpox is similar to chicken pox but far more deadly or some shoulder belts work like window shades.', 'Should it be the case that smallpox is similar to chicken pox but far more deadly, it follows that we know that the claim that high winds can flatten the top of the cloud into an anvil-like shape is false.', 'Once we know it is a common misconception that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, we also know that identical twins are normal in a few species.', 'If it is a common misconception that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, then the statement, identical twins are normal in a few species, does not hold.', 'Should it be the case that smallpox is similar to chicken pox but far more deadly, it follows that some minerals are essential industrial resources.', 'When some minerals are essential industrial resources is true, it follows that high winds can flatten the top of the cloud into an anvil-like shape.']
|
Given that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, it can be inferred that either smallpox is similar to chicken pox but far more deadly or some shoulder belts work like window shades. Should it be the case that smallpox is similar to chicken pox but far more deadly, it follows that we know that the claim that high winds can flatten the top of the cloud into an anvil-like shape is false. Once we know it is a common misconception that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, we also know that identical twins are normal in a few species. If it is a common misconception that if online catalogs are Web pages that display items for sale by an online merchant, then islamic dress is Islamic and it applies to all Muslim women, then the statement, identical twins are normal in a few species, does not hold. Should it be the case that smallpox is similar to chicken pox but far more deadly, it follows that some minerals are essential industrial resources. When some minerals are essential industrial resources is true, it follows that high winds can flatten the top of the cloud into an anvil-like shape.
|
It is true that some shoulder belts work like window shades.
|
It is true that some shoulder belts work like window shades.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [2], then [3].), then (Either [1] or [0].).
If [2], then [3]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [6].
If (Not (If [2], then [3].).), then (Not [6].).
Therefore, If [2], then [3]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4]. [SC1-2]
If [1], then (Not [4].).
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [5].
If [5], then [4].
Therefore, If [1], then [4]..
|
{0: 'Some shoulder belts work like window shades.', 1: 'Smallpox is similar to chicken pox but far more deadly.', 2: 'Online catalogs are Web pages that display items for sale by an online merchant.', 3: 'Islamic dress is Islamic and it applies to all Muslim women.', 4: 'High winds can flatten the top of the cloud into an anvil-like shape.', 5: 'Some minerals are essential industrial resources.', 6: 'Identical twins are normal in a few species.'}
| 5 |
4,006 |
['Either one or both of these statements are true: singular points are part of the self-intersection of the surface or sharp edges on the surface, or animals regulate body temperature.', 'Provided that animals regulate body temperature, we know that either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative.', "The notion that 'beans are legumes' is untrue.", 'Once we know the claim that if singular points are part of the self-intersection of the surface or sharp edges on the surface, then either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative does not reflect reality, we also know that white pelicans feed on the native cut-throat trout.', "So long as the claim that if singular points are part of the self-intersection of the surface or sharp edges on the surface, then either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative does not reflect reality, 'the claim that white pelicans feed on the native cut-throat trout has no merit' is true.", 'When low fertility can cause fibrous spears is true, it follows that either beans are legumes or the claim that civil time is simply the local clock time has no merit.', 'The statement that states low fertility can cause fibrous spears is right.']
|
Either one or both of these statements are true: singular points are part of the self-intersection of the surface or sharp edges on the surface, or animals regulate body temperature. Provided that animals regulate body temperature, we know that either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative. The notion that 'beans are legumes' is untrue. Once we know the claim that if singular points are part of the self-intersection of the surface or sharp edges on the surface, then either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative does not reflect reality, we also know that white pelicans feed on the native cut-throat trout. So long as the claim that if singular points are part of the self-intersection of the surface or sharp edges on the surface, then either civil time is simply the local clock time or either most energy requires for light or honey is also a natural preservative does not reflect reality, 'the claim that white pelicans feed on the native cut-throat trout has no merit' is true. When low fertility can cause fibrous spears is true, it follows that either beans are legumes or the claim that civil time is simply the local clock time has no merit. The statement that states low fertility can cause fibrous spears is right.
|
Either most energy requires for light or honey is also a natural preservative.
|
Either most energy requires for light or honey is also a natural preservative.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or (Either [0] or [1].).). [SC2-2]
If [4], then (Either [2] or (Either [0] or [1].).).
Therefore, Either [2] or (Either [0] or [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [2] or (Either [0] or [1].).).).), then [7].
If (Not (If [3], then (Either [2] or (Either [0] or [1].).).).), then (Not [7].).
Therefore, If [3], then (Either [2] or (Either [0] or [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [2].). [SC1-2]
Not [5].
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [6], then (Either [5] or (Not [2].).).
[6]
Therefore, Either [5] or (Not [2].)..
|
{0: 'Most energy requires for light.', 1: 'Honey is also a natural preservative.', 2: 'Civil time is simply the local clock time.', 3: 'Singular points are part of the self-intersection of the surface or sharp edges on the surface.', 4: 'Animals regulate body temperature.', 5: 'Beans are legumes.', 6: 'Low fertility can cause fibrous spears.', 7: 'White pelicans feed on the native cut-throat trout.'}
| 5 |
4,613 |
['There is good reason to believe that either wood cockroaches can accidentally invade dwellings during late spring or either dark fiber refers to fiber optic cable that has no light passing through it or liver disease can be fatal in childhood.', 'Given that wood cockroaches can accidentally invade dwellings during late spring, it can be inferred that aerobic training works the heart and lungs for extended duration.', 'If either dark fiber refers to fiber optic cable that has no light passing through it or liver disease can be fatal in childhood, then green liquor is a by-product of processing wood pulp.', 'On the condition that willful infringement is punishable by law, it is definitely the case that if aerobic training works the heart and lungs for extended duration, then southwest isa direction.', 'The statement that states willful infringement is punishable by law is right.', 'The statement that states if peace occurs when common ground is met and raised to a higher ground, then patterns are functions and the functions can be approximated by neural networks is false.', "Given that amortization is the death penalty, it can be inferred that if the statement that 'if green liquor is a by-product of processing wood pulp, then southwest isa direction' is incorrect, then if peace occurs when common ground is met and raised to a higher ground, then patterns are functions and the functions can be approximated by neural networks.", 'It is true that amortization is the death penalty.']
|
There is good reason to believe that either wood cockroaches can accidentally invade dwellings during late spring or either dark fiber refers to fiber optic cable that has no light passing through it or liver disease can be fatal in childhood. Given that wood cockroaches can accidentally invade dwellings during late spring, it can be inferred that aerobic training works the heart and lungs for extended duration. If either dark fiber refers to fiber optic cable that has no light passing through it or liver disease can be fatal in childhood, then green liquor is a by-product of processing wood pulp. On the condition that willful infringement is punishable by law, it is definitely the case that if aerobic training works the heart and lungs for extended duration, then southwest isa direction. The statement that states willful infringement is punishable by law is right. The statement that states if peace occurs when common ground is met and raised to a higher ground, then patterns are functions and the functions can be approximated by neural networks is false. Given that amortization is the death penalty, it can be inferred that if the statement that 'if green liquor is a by-product of processing wood pulp, then southwest isa direction' is incorrect, then if peace occurs when common ground is met and raised to a higher ground, then patterns are functions and the functions can be approximated by neural networks. It is true that amortization is the death penalty.
|
Those that suggest southwest isa direction are right.
|
Those that suggest southwest isa direction are right.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [5] or (Either [6] or [7].).
If [5], then [1].
If (Either [6] or [7].), then [2].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [8], then (If [1], then [0].).
[8]
Therefore, If [1], then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [2], then [0]..
[SC1-2]
Modus Ponens:
If [9], then (If (Not (If [2], then [0].).), then (If [3], then [4].).).
[9]
Therefore, If (Not (If [2], then [0].).), then (If [3], then [4].)..
|
{0: 'Southwest isa direction.', 1: 'Aerobic training works the heart and lungs for extended duration.', 2: 'Green liquor is a by-product of processing wood pulp.', 3: 'Peace occurs when common ground is met and raised to a higher ground.', 4: 'Patterns are functions and the functions can be approximated by neural networks.', 5: 'Wood cockroaches can accidentally invade dwellings during late spring.', 6: 'Dark fiber refers to fiber optic cable that has no light passing through it.', 7: 'Liver disease can be fatal in childhood.', 8: 'Willful infringement is punishable by law.', 9: 'Amortization is the death penalty.'}
| 5 |
4,533 |
['Assuming alcohol kills more than any other drug, we know that some activities practiced by humans can accelerate natural changes.', 'The statement that states alcohol kills more than any other drug is right.', 'It is a fact that either technology is one of the key ways of reaching people today or bacteria inhabit guts.', "Assuming technology is one of the key ways of reaching people today, we know that if it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong, then skunk cabbages are marsh plants.", "Provided that bacteria inhabit guts, we know that if it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong, then skunk cabbages are marsh plants.", "When it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong is true, it follows that embryos obtain nourishment.", 'If embryos obtain nourishment, then those that suggest skunk cabbages are marsh plants are wrong.']
|
Assuming alcohol kills more than any other drug, we know that some activities practiced by humans can accelerate natural changes. The statement that states alcohol kills more than any other drug is right. It is a fact that either technology is one of the key ways of reaching people today or bacteria inhabit guts. Assuming technology is one of the key ways of reaching people today, we know that if it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong, then skunk cabbages are marsh plants. Provided that bacteria inhabit guts, we know that if it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong, then skunk cabbages are marsh plants. When it is not the case that if some activities practiced by humans can accelerate natural changes, then those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong is true, it follows that embryos obtain nourishment. If embryos obtain nourishment, then those that suggest skunk cabbages are marsh plants are wrong.
|
Those that suggest if toucans have (part) bird's feet, then breathing is a function of lungs as well as the muscles that move the chest and lungs are wrong.
|
Some people mistakenly believe that toucans live in the tropical rain forest of South America.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not (If [0], then [1].).).).), then [4]. [SC1-2]
If (Not (If [2], then (Not (If [0], then [1].).).).), then (Not [4].). [SC2-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [2], then (Not (If [0], then [1].).).).), then [4].).
If [6], then (If (Not (If [2], then (Not (If [0], then [1].).).).), then [4].).
Therefore, If (Not (If [2], then (Not (If [0], then [1].).).).), then [4]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [2], then (Not (If [0], then [1].).).).), then [7].
If [7], then (Not [4].).
Therefore, If (Not (If [2], then (Not (If [0], then [1].).).).), then (Not [4].)..
[SC2-1]
Modus Ponens:
If [3], then [2].
[3]
Therefore, [2].
|
{0: "Toucans have (part) bird's feet.", 1: 'Breathing is a function of lungs as well as the muscles that move the chest and lungs.', 2: 'Some activities practiced by humans can accelerate natural changes.', 3: 'Alcohol kills more than any other drug.', 4: 'Skunk cabbages are marsh plants.', 5: 'Technology is one of the key ways of reaching people today.', 6: 'Bacteria inhabit guts.', 7: 'Embryos obtain nourishment.'}
| 5 |
4,397 |
['Either one or both of these statements are true: plants use cellulose, or dolphins have good vision in and out of the water.', 'The statement, yoga helps one to get in touch with reality by being in touch with the inner self, does not hold.', "Whenever it is true that some people mistakenly believe that if either plants use cellulose or dolphins have good vision in and out of the water, then either water is the medium by which pollutants are transported and taken up by estuarine species or either seperate faucet is used only when filtered water is needed, extending filter life or most people travel by foot or bicycle, 'if most animals possess antibodies, then solar eclipses are more rare than lunar ones, and much more spectacular' is true.", "The statement that 'if most animals possess antibodies, then solar eclipses are more rare than lunar ones, and much more spectacular' is incorrect.", "Given that we know that the claim that either yoga helps one to get in touch with reality by being in touch with the inner self or the statement 'water is the medium by which pollutants are transported and taken up by estuarine species' can be considered false is false, it can be inferred that anthropology provides a comprehensive perspective on the human endeavor.", "Assuming we know that the claim that either yoga helps one to get in touch with reality by being in touch with the inner self or the statement 'water is the medium by which pollutants are transported and taken up by estuarine species' can be considered false is false, we know that those that suggest anthropology provides a comprehensive perspective on the human endeavor are wrong."]
|
Either one or both of these statements are true: plants use cellulose, or dolphins have good vision in and out of the water. The statement, yoga helps one to get in touch with reality by being in touch with the inner self, does not hold. Whenever it is true that some people mistakenly believe that if either plants use cellulose or dolphins have good vision in and out of the water, then either water is the medium by which pollutants are transported and taken up by estuarine species or either seperate faucet is used only when filtered water is needed, extending filter life or most people travel by foot or bicycle, 'if most animals possess antibodies, then solar eclipses are more rare than lunar ones, and much more spectacular' is true. The statement that 'if most animals possess antibodies, then solar eclipses are more rare than lunar ones, and much more spectacular' is incorrect. Given that we know that the claim that either yoga helps one to get in touch with reality by being in touch with the inner self or the statement 'water is the medium by which pollutants are transported and taken up by estuarine species' can be considered false is false, it can be inferred that anthropology provides a comprehensive perspective on the human endeavor. Assuming we know that the claim that either yoga helps one to get in touch with reality by being in touch with the inner self or the statement 'water is the medium by which pollutants are transported and taken up by estuarine species' can be considered false is false, we know that those that suggest anthropology provides a comprehensive perspective on the human endeavor are wrong.
|
It is a fact that either seperate faucet is used only when filtered water is needed, extending filter life or most people travel by foot or bicycle.
|
We know that at least one of two things is true: all natural materials contain salt in small quantities, or some people get more sleep than others.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (Either [3] or [4].), then (Either [2] or (Either [0] or [1].).). [SC1-2]
Either [3] or [4].
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (Either [2] or (Either [0] or [1].).).).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, If (Either [3] or [4].), then (Either [2] or (Either [0] or [1].).)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (Not [2].). [SC1-2]
Not [5].
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [5] or (Not [2].).).), then [8].
If (Not (Either [5] or (Not [2].).).), then (Not [8].).
Therefore, Either [5] or (Not [2].)..
|
{0: 'Seperate faucet is used only when filtered water is needed, extending filter life.', 1: 'Most people travel by foot or bicycle.', 2: 'Water is the medium by which pollutants are transported and taken up by estuarine species.', 3: 'Plants use cellulose.', 4: 'Dolphins have good vision in and out of the water.', 5: 'Yoga helps one to get in touch with reality by being in touch with the inner self.', 6: 'Most animals possess antibodies.', 7: 'Solar eclipses are more rare than lunar ones, and much more spectacular.', 8: 'Anthropology provides a comprehensive perspective on the human endeavor.'}
| 5 |
4,721 |
["Should it be the case that the notion that 'chronic pain is a common and often underestimated, but very expensive condition' is untrue, it follows that electricity can run appliances and illuminate light bulbs.", 'Provided that electricity can run appliances and illuminate light bulbs, we know that snares come in different sizes and lengths.', 'Assuming snares come in different sizes and lengths, we know that either intestinal villi play a major role in the in the absorption of digestive products or molecules are of a group soul nature, meaning that they tend to go along with the crowd.', 'When either intestinal villi play a major role in the in the absorption of digestive products or molecules are of a group soul nature, meaning that they tend to go along with the crowd is true, it follows that a consonant is sound.', 'We know that at least one of two things is true: bacteria produce toxic substances, or malaria is more prevalent in the Amazon region.', 'When bacteria produce toxic substances is true, it follows that we know that the claim that a consonant is sound is false.', 'Should it be the case that malaria is more prevalent in the Amazon region, it follows that we know that the claim that a consonant is sound is false.']
|
Should it be the case that the notion that 'chronic pain is a common and often underestimated, but very expensive condition' is untrue, it follows that electricity can run appliances and illuminate light bulbs. Provided that electricity can run appliances and illuminate light bulbs, we know that snares come in different sizes and lengths. Assuming snares come in different sizes and lengths, we know that either intestinal villi play a major role in the in the absorption of digestive products or molecules are of a group soul nature, meaning that they tend to go along with the crowd. When either intestinal villi play a major role in the in the absorption of digestive products or molecules are of a group soul nature, meaning that they tend to go along with the crowd is true, it follows that a consonant is sound. We know that at least one of two things is true: bacteria produce toxic substances, or malaria is more prevalent in the Amazon region. When bacteria produce toxic substances is true, it follows that we know that the claim that a consonant is sound is false. Should it be the case that malaria is more prevalent in the Amazon region, it follows that we know that the claim that a consonant is sound is false.
|
It is reasonable to believe that chronic pain is a common and often underestimated, but very expensive condition.
|
Chronic pain creates many different types of suffering.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [4].
If [4], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If [1], then (Either [2] or [3].).
Not (Either [2] or [3].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Either [2] or [3].), then [5].
Not [5]. [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Chronic pain is a common and often underestimated, but very expensive condition.', 1: 'Snares come in different sizes and lengths.', 2: 'Intestinal villi play a major role in the in the absorption of digestive products.', 3: 'Molecules are of a group soul nature, meaning that they tend to go along with the crowd.', 4: 'Electricity can run appliances and illuminate light bulbs.', 5: 'A consonant is sound.', 6: 'Bacteria produce toxic substances.', 7: 'Malaria is more prevalent in the Amazon region.'}
| 5 |
4,858 |
['When either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend is true, it follows that most marine biologists are male but it is an occupation which is attracting more females.', 'Assuming most precipitation reaches soil surfaces, we know that either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend.', 'Either oil is burned in local waste oil heaters or female turtles tend to move onshore to nest in large synchronized concentrations.', "So long as oil is burned in local waste oil heaters, 'most precipitation reaches soil surfaces' is true.", "If female turtles tend to move onshore to nest in large synchronized concentrations, then most puppies are immune to the mite's effects and display no clinical signs or lesions.", 'It is a common misconception that wheat beer is made with wheat.', "If school counselors focus on help students, then either wheat beer is made with wheat or if most puppies are immune to the mite's effects and display no clinical signs or lesions, then either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend.", "The statement 'school counselors focus on help students' is true."]
|
When either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend is true, it follows that most marine biologists are male but it is an occupation which is attracting more females. Assuming most precipitation reaches soil surfaces, we know that either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend. Either oil is burned in local waste oil heaters or female turtles tend to move onshore to nest in large synchronized concentrations. So long as oil is burned in local waste oil heaters, 'most precipitation reaches soil surfaces' is true. If female turtles tend to move onshore to nest in large synchronized concentrations, then most puppies are immune to the mite's effects and display no clinical signs or lesions. It is a common misconception that wheat beer is made with wheat. If school counselors focus on help students, then either wheat beer is made with wheat or if most puppies are immune to the mite's effects and display no clinical signs or lesions, then either most cockroaches have distinct stages or plants grow from nodes along the creeping underground rhizome from which fibrous roots extend. The statement 'school counselors focus on help students' is true.
|
It is a simple truth that most marine biologists are male but it is an occupation which is attracting more females.
|
Marine biologists monitor health.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0].
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either [1] or [2].).
If [4], then (Either [1] or [2].). [SC3-2]
Therefore, Either [1] or [2]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then [3].
If [7], then [4].
Therefore, Either [3] or [4]..
[SC3-2]
Disjunctive Syllogism:
Either [5] or (If [4], then (Either [1] or [2].).). [SC1-3]
Not [5].
Therefore, If [4], then (Either [1] or [2].)..
[SC1-3]
Modus Ponens:
If [8], then (Either [5] or (If [4], then (Either [1] or [2].).).).
[8]
Therefore, Either [5] or (If [4], then (Either [1] or [2].).)..
|
{0: 'Most marine biologists are male but it is an occupation which is attracting more females.', 1: 'Most cockroaches have distinct stages.', 2: 'Plants grow from nodes along the creeping underground rhizome from which fibrous roots extend.', 3: 'Most precipitation reaches soil surfaces.', 4: "Most puppies are immune to the mite's effects and display no clinical signs or lesions.", 5: 'Wheat beer is made with wheat.', 6: 'Oil is burned in local waste oil heaters.', 7: 'Female turtles tend to move onshore to nest in large synchronized concentrations.', 8: 'School counselors focus on help students.'}
| 5 |
4,691 |
['Provided that if scientists learn about monkeys, then steamers have (part) hubs, we know that provencal cuisine is pure Mediterranean peasant food.', 'On the condition that companies make resources, it is definitely the case that provencal cuisine is pure Mediterranean peasant food.', 'When religious freedom is a fundamental human right is true, it follows that if scientists learn about monkeys, then steamers have (part) hubs.', "Whenever it is true that the notion that 'either religious freedom is a fundamental human right or every society always has some women who never marry' is untrue, 'sunlamps damage the skin and unprotected eyes and are best avoided entirely' is true.", 'It is a common misconception that sunlamps damage the skin and unprotected eyes and are best avoided entirely.', "Assuming the statement that 'if every society always has some women who never marry, then companies make resources' is incorrect, we know that neutron stars release energy by spewing light, radio waves and particles.", 'One may reasonably assume that if every scientific study concludes that parents who bring their babies to bed sleep longer and better, then it is a common misconception that neutron stars release energy by spewing light, radio waves and particles.', "The statement 'every scientific study concludes that parents who bring their babies to bed sleep longer and better' can be considered true."]
|
Provided that if scientists learn about monkeys, then steamers have (part) hubs, we know that provencal cuisine is pure Mediterranean peasant food. On the condition that companies make resources, it is definitely the case that provencal cuisine is pure Mediterranean peasant food. When religious freedom is a fundamental human right is true, it follows that if scientists learn about monkeys, then steamers have (part) hubs. Whenever it is true that the notion that 'either religious freedom is a fundamental human right or every society always has some women who never marry' is untrue, 'sunlamps damage the skin and unprotected eyes and are best avoided entirely' is true. It is a common misconception that sunlamps damage the skin and unprotected eyes and are best avoided entirely. Assuming the statement that 'if every society always has some women who never marry, then companies make resources' is incorrect, we know that neutron stars release energy by spewing light, radio waves and particles. One may reasonably assume that if every scientific study concludes that parents who bring their babies to bed sleep longer and better, then it is a common misconception that neutron stars release energy by spewing light, radio waves and particles. The statement 'every scientific study concludes that parents who bring their babies to bed sleep longer and better' can be considered true.
|
It is reasonable to believe that provencal cuisine is pure Mediterranean peasant food.
|
It is reasonable to believe that provencal cuisine is pure Mediterranean peasant food.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0].
If [3], then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then (If [1], then [2].).
If [5], then [3]. [SC3-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then [6].
Not [6].
Therefore, Either [4] or [5]..
[SC3-2]
Modus Tonens:
If (Not (If [5], then [3].).), then [7].
Not [7]. [SC2-3]
Therefore, If [5], then [3]..
[SC2-3]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
|
{0: 'Provencal cuisine is pure Mediterranean peasant food.', 1: 'Scientists learn about monkeys.', 2: 'Steamers have (part) hubs.', 3: 'Companies make resources.', 4: 'Religious freedom is a fundamental human right.', 5: 'Every society always has some women who never marry.', 6: 'Sunlamps damage the skin and unprotected eyes and are best avoided entirely.', 7: 'Neutron stars release energy by spewing light, radio waves and particles.', 8: 'Every scientific study concludes that parents who bring their babies to bed sleep longer and better.'}
| 5 |
4,104 |
['Provided that food poisoning is a serious danger in the summer months , we know that protoplasts are plant cells freed of their cell wall by enzymatic digestion.', 'There is good reason to believe that either investor protection is based mainly on market transparency and integrity or convection also operates on a global scale.', 'One may reasonably assume that if convection also operates on a global scale, then either some people use menstrual blood, which is very appropriate or food poisoning is a serious danger in the summer months .', 'Assuming feral kittens are a special challenge to socialize, we know that the claim that some people use menstrual blood, which is very appropriate has no merit.', 'It is true that feral kittens are a special challenge to socialize.', 'One may reasonably assume that if investor protection is based mainly on market transparency and integrity, then either lipids are the most diverse group of biochemicals or atmospheres affect sound.', 'Should it be the case that either lipids are the most diverse group of biochemicals or atmospheres affect sound, it follows that either some people use menstrual blood, which is very appropriate or food poisoning is a serious danger in the summer months .']
|
Provided that food poisoning is a serious danger in the summer months , we know that protoplasts are plant cells freed of their cell wall by enzymatic digestion. There is good reason to believe that either investor protection is based mainly on market transparency and integrity or convection also operates on a global scale. One may reasonably assume that if convection also operates on a global scale, then either some people use menstrual blood, which is very appropriate or food poisoning is a serious danger in the summer months . Assuming feral kittens are a special challenge to socialize, we know that the claim that some people use menstrual blood, which is very appropriate has no merit. It is true that feral kittens are a special challenge to socialize. One may reasonably assume that if investor protection is based mainly on market transparency and integrity, then either lipids are the most diverse group of biochemicals or atmospheres affect sound. Should it be the case that either lipids are the most diverse group of biochemicals or atmospheres affect sound, it follows that either some people use menstrual blood, which is very appropriate or food poisoning is a serious danger in the summer months .
|
It is reasonable to believe that protoplasts are plant cells freed of their cell wall by enzymatic digestion.
|
It is reasonable to believe that protoplasts are plant cells freed of their cell wall by enzymatic digestion.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or [1].). [SC2-3]
If [4], then (Either [2] or [1].).
Therefore, Either [2] or [1]..
[SC2-3]
Hypothetical Syllogism:
If [3], then (Either [6] or [7].).
If (Either [6] or [7].), then (Either [2] or [1].).
Therefore, If [3], then (Either [2] or [1].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
|
{0: 'Protoplasts are plant cells freed of their cell wall by enzymatic digestion.', 1: 'Food poisoning is a serious danger in the summer months .', 2: 'Some people use menstrual blood, which is very appropriate.', 3: 'Investor protection is based mainly on market transparency and integrity.', 4: 'Convection also operates on a global scale.', 5: 'Feral kittens are a special challenge to socialize.', 6: 'Lipids are the most diverse group of biochemicals.', 7: 'Atmospheres affect sound.'}
| 5 |
4,303 |
['When the claim that either if protoplanetary disks are present in both nebulae, then carnivores rely on meat or birds maintain weight has no merit is true, it follows that heart rates slow, sometimes becoming irregular.', "On the condition that the claim that either if protoplanetary disks are present in both nebulae, then carnivores rely on meat or birds maintain weight has no merit, it is definitely the case that the notion that 'heart rates slow, sometimes becoming irregular' is untrue.", 'When corn is one of the leading bioengineered crops is true, it follows that those that suggest if protoplanetary disks are present in both nebulae, then carnivores rely on meat are wrong.', 'When soil degradation is a global phenomenon is true, it follows that those that suggest if protoplanetary disks are present in both nebulae, then carnivores rely on meat are wrong.', 'Either one or both of these statements are true: obesity increases the risk of colon cancer, or either corn is one of the leading bioengineered crops or soil degradation is a global phenomenon.', 'We know that either smart acquisition refers to procurement processes that are cheaper, faster and better or if women also report more depression than men, about twice as much, then abortive therapy focuses on stopping the migraine as it progresses.', 'One may reasonably assume that if smart acquisition refers to procurement processes that are cheaper, faster and better, then we know that the claim that obesity increases the risk of colon cancer is false.', 'On the condition that if women also report more depression than men, about twice as much, then abortive therapy focuses on stopping the migraine as it progresses, it is definitely the case that we know that the claim that obesity increases the risk of colon cancer is false.']
|
When the claim that either if protoplanetary disks are present in both nebulae, then carnivores rely on meat or birds maintain weight has no merit is true, it follows that heart rates slow, sometimes becoming irregular. On the condition that the claim that either if protoplanetary disks are present in both nebulae, then carnivores rely on meat or birds maintain weight has no merit, it is definitely the case that the notion that 'heart rates slow, sometimes becoming irregular' is untrue. When corn is one of the leading bioengineered crops is true, it follows that those that suggest if protoplanetary disks are present in both nebulae, then carnivores rely on meat are wrong. When soil degradation is a global phenomenon is true, it follows that those that suggest if protoplanetary disks are present in both nebulae, then carnivores rely on meat are wrong. Either one or both of these statements are true: obesity increases the risk of colon cancer, or either corn is one of the leading bioengineered crops or soil degradation is a global phenomenon. We know that either smart acquisition refers to procurement processes that are cheaper, faster and better or if women also report more depression than men, about twice as much, then abortive therapy focuses on stopping the migraine as it progresses. One may reasonably assume that if smart acquisition refers to procurement processes that are cheaper, faster and better, then we know that the claim that obesity increases the risk of colon cancer is false. On the condition that if women also report more depression than men, about twice as much, then abortive therapy focuses on stopping the migraine as it progresses, it is definitely the case that we know that the claim that obesity increases the risk of colon cancer is false.
|
The statement that states birds maintain weight is right.
|
The statement that states birds maintain weight is right.
|
TRUE
|
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 [5].
If (Not (Either (If [1], then [2].) or [0].).), then (Not [5].).
Therefore, Either (If [1], then [2].) or [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not (If [1], then [2].).).
If [4], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6]. [SC2-3]
Therefore, Either [3] or [4]..
[SC2-3]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Not [6].).
If (If [8], then [9].), then (Not [6].).
Therefore, Not [6]..
|
{0: 'Birds maintain weight.', 1: 'Protoplanetary disks are present in both nebulae.', 2: 'Carnivores rely on meat.', 3: 'Corn is one of the leading bioengineered crops.', 4: 'Soil degradation is a global phenomenon.', 5: 'Heart rates slow, sometimes becoming irregular.', 6: 'Obesity increases the risk of colon cancer.', 7: 'Smart acquisition refers to procurement processes that are cheaper, faster and better.', 8: 'Women also report more depression than men, about twice as much.', 9: 'Abortive therapy focuses on stopping the migraine as it progresses.'}
| 5 |
4,549 |
['It is a fact that either productivity is the amount of the produced goods divided by total working hours or if immobility is the chief cause of leg vein clots which can loosen and fly to the lung, then ester hydrolysis occurs in the cytosol.', 'If if immobility is the chief cause of leg vein clots which can loosen and fly to the lung, then ester hydrolysis occurs in the cytosol, then food insecurity is primarily a problem of access rather than availability.', 'If an animal psychology is a psychology, then either common frogs include wood frogs or electrons are physically larger than protons.', 'Given that either common frogs include wood frogs or electrons are physically larger than protons, it can be inferred that if productivity is the amount of the produced goods divided by total working hours, then food insecurity is primarily a problem of access rather than availability.', "Assuming the notion that 'an animal psychology is a psychology' is untrue, we know that the claim that agent isa entity is false.", "There is good reason to believe that either sports are an important part of life, almost as important as advertising or if the notion that 'an animal psychology is a psychology' is untrue, then agent isa entity.", 'It is not the case that sports are an important part of life, almost as important as advertising.']
|
It is a fact that either productivity is the amount of the produced goods divided by total working hours or if immobility is the chief cause of leg vein clots which can loosen and fly to the lung, then ester hydrolysis occurs in the cytosol. If if immobility is the chief cause of leg vein clots which can loosen and fly to the lung, then ester hydrolysis occurs in the cytosol, then food insecurity is primarily a problem of access rather than availability. If an animal psychology is a psychology, then either common frogs include wood frogs or electrons are physically larger than protons. Given that either common frogs include wood frogs or electrons are physically larger than protons, it can be inferred that if productivity is the amount of the produced goods divided by total working hours, then food insecurity is primarily a problem of access rather than availability. Assuming the notion that 'an animal psychology is a psychology' is untrue, we know that the claim that agent isa entity is false. There is good reason to believe that either sports are an important part of life, almost as important as advertising or if the notion that 'an animal psychology is a psychology' is untrue, then agent isa entity. It is not the case that sports are an important part of life, almost as important as advertising.
|
It is true that food insecurity is primarily a problem of access rather than availability.
|
It is true that food insecurity is primarily a problem of access rather than availability.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0].
Therefore, [0].
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].). [SC1-2]
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [4], then (Either [5] or [6].).
If (Either [5] or [6].), then (If [1], then [0].).
Therefore, If [4], then (If [1], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [7]. [SC1-3]
If (Not [4].), then (Not [7].).
Therefore, [4].
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not [4].), then [7].).
Not [8].
Therefore, If (Not [4].), then [7]..
|
{0: 'Food insecurity is primarily a problem of access rather than availability.', 1: 'Productivity is the amount of the produced goods divided by total working hours.', 2: 'Immobility is the chief cause of leg vein clots which can loosen and fly to the lung.', 3: 'Ester hydrolysis occurs in the cytosol.', 4: 'An animal psychology is a psychology.', 5: 'Common frogs include wood frogs.', 6: 'Electrons are physically larger than protons.', 7: 'Agent isa entity.', 8: 'Sports are an important part of life, almost as important as advertising.'}
| 5 |
4,729 |
["It is true that slothfulness pervades in almost every aspect to today's society.", "If potassium improves the quality of the leaf 's physical appearance and burning properties, then if slothfulness pervades in almost every aspect to today's society, then compost provides nutrients needed for mushrooms to grow.", 'It is a fact that either if carbon nanotube polymer composites are gaining interest as well, then sharks have (part) nuclei or some cattle eat maples.', "On the condition that if carbon nanotube polymer composites are gaining interest as well, then sharks have (part) nuclei, it is definitely the case that potassium improves the quality of the leaf 's physical appearance and burning properties.", "When the statement that states if mayflies are an important part of the diet for many species of fish, then if slothfulness pervades in almost every aspect to today's society, then compost provides nutrients needed for mushrooms to grow is false is true, it follows that coral are colonial invertebrate marine animals whose skeletons help to build up reefs.", 'The claim that coral are colonial invertebrate marine animals whose skeletons help to build up reefs is false.', 'Given that some cattle eat maples, it can be inferred that lack of awareness is caused by lack of attention.', 'When lack of awareness is caused by lack of attention is true, it follows that mayflies are an important part of the diet for many species of fish.']
|
It is true that slothfulness pervades in almost every aspect to today's society. If potassium improves the quality of the leaf 's physical appearance and burning properties, then if slothfulness pervades in almost every aspect to today's society, then compost provides nutrients needed for mushrooms to grow. It is a fact that either if carbon nanotube polymer composites are gaining interest as well, then sharks have (part) nuclei or some cattle eat maples. On the condition that if carbon nanotube polymer composites are gaining interest as well, then sharks have (part) nuclei, it is definitely the case that potassium improves the quality of the leaf 's physical appearance and burning properties. When the statement that states if mayflies are an important part of the diet for many species of fish, then if slothfulness pervades in almost every aspect to today's society, then compost provides nutrients needed for mushrooms to grow is false is true, it follows that coral are colonial invertebrate marine animals whose skeletons help to build up reefs. The claim that coral are colonial invertebrate marine animals whose skeletons help to build up reefs is false. Given that some cattle eat maples, it can be inferred that lack of awareness is caused by lack of attention. When lack of awareness is caused by lack of attention is true, it follows that mayflies are an important part of the diet for many species of fish.
|
It is a simple truth that compost provides nutrients needed for mushrooms to grow.
|
It is a simple truth that compost provides nutrients needed for mushrooms to grow.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then [0].).
If [3], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Constructive Dilemma:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then [2].
If [6], then [3]. [SC3-3]
Therefore, Either [2] or [3]..
[SC3-3]
Hypothetical Syllogism:
If [6], then [8].
If [8], then [3].
Therefore, If [6], then [3]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (If [1], then [0].).).), then [7].
Not [7].
Therefore, If [3], then (If [1], then [0].)..
|
{0: 'Compost provides nutrients needed for mushrooms to grow.', 1: "Slothfulness pervades in almost every aspect to today's society.", 2: "Potassium improves the quality of the leaf 's physical appearance and burning properties.", 3: 'Mayflies are an important part of the diet for many species of fish.', 4: 'Carbon nanotube polymer composites are gaining interest as well.', 5: 'Sharks have (part) nuclei.', 6: 'Some cattle eat maples.', 7: 'Coral are colonial invertebrate marine animals whose skeletons help to build up reefs.', 8: 'Lack of awareness is caused by lack of attention.'}
| 5 |
4,208 |
['Assuming either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape, we know that young trees are conical when young but become more open with age.', 'One may reasonably assume that if the claim that if some protective shells have legs, then young trees are conical when young but become more open with age does not correspond with reality, then carpenter bees are large, solitary creatures.', 'On the condition that the claim that if some protective shells have legs, then young trees are conical when young but become more open with age does not correspond with reality, it is definitely the case that it is not true that carpenter bees are large, solitary creatures.', 'We know that either either most hares have fur or anteaters have (part) pedal extremities or either potassium is necessary for proper nerve conduction or most mud includes minerals.', "Given that either most hares have fur or anteaters have (part) pedal extremities, it can be inferred that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then genesis has telescopic wings.", "Provided that either potassium is necessary for proper nerve conduction or most mud includes minerals, we know that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then genesis has telescopic wings.", "Assuming most people are aware that diabetes and heart disease are managed for a lifetime, we know that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then those that suggest genesis has telescopic wings are wrong.", 'It is fair to say that most people are aware that diabetes and heart disease are managed for a lifetime.']
|
Assuming either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape, we know that young trees are conical when young but become more open with age. One may reasonably assume that if the claim that if some protective shells have legs, then young trees are conical when young but become more open with age does not correspond with reality, then carpenter bees are large, solitary creatures. On the condition that the claim that if some protective shells have legs, then young trees are conical when young but become more open with age does not correspond with reality, it is definitely the case that it is not true that carpenter bees are large, solitary creatures. We know that either either most hares have fur or anteaters have (part) pedal extremities or either potassium is necessary for proper nerve conduction or most mud includes minerals. Given that either most hares have fur or anteaters have (part) pedal extremities, it can be inferred that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then genesis has telescopic wings. Provided that either potassium is necessary for proper nerve conduction or most mud includes minerals, we know that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then genesis has telescopic wings. Assuming most people are aware that diabetes and heart disease are managed for a lifetime, we know that if the notion that 'either some protective shells have legs or either twigs are angular and hairy or dry sand is easier for wax to penetrate, but difficult to get it to hold a shape' is untrue, then those that suggest genesis has telescopic wings are wrong. It is fair to say that most people are aware that diabetes and heart disease are managed for a lifetime.
|
young trees are conical when young but become more open with age.
|
The statement 'young trees are conical when young but become more open with age' can be considered false.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (Either [2] or [3].), then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (Either [2] or [3].).).), then [4]. [SC1-2]
If (Not (Either [1] or (Either [2] or [3].).).), then (Not [4].). [SC2-2]
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Disjunction Elimination:
Either (Either [6] or [7].) or (Either [8] or [9].).
If (Either [6] or [7].), then (If (Not (Either [1] or (Either [2] or [3].).).), then [4].).
If (Either [8] or [9].), then (If (Not (Either [1] or (Either [2] or [3].).).), then [4].).
Therefore, If (Not (Either [1] or (Either [2] or [3].).).), then [4]..
[SC2-2]
Modus Ponens:
If [10], then (If (Not (Either [1] or (Either [2] or [3].).).), then (Not [4].).).
[10]
Therefore, If (Not (Either [1] or (Either [2] or [3].).).), then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [5].
If (Not (If [1], then [0].).), then (Not [5].).
Therefore, If [1], then [0]..
|
{0: 'Young trees are conical when young but become more open with age.', 1: 'Some protective shells have legs.', 2: 'Twigs are angular and hairy.', 3: 'Dry sand is easier for wax to penetrate, but difficult to get it to hold a shape.', 4: 'Genesis has telescopic wings.', 5: 'Carpenter bees are large, solitary creatures.', 6: 'Most hares have fur.', 7: 'Anteaters have (part) pedal extremities.', 8: 'Potassium is necessary for proper nerve conduction.', 9: 'Most mud includes minerals.', 10: 'Most people are aware that diabetes and heart disease are managed for a lifetime.'}
| 5 |
4,302 |
['Either one or both of these statements are true: some pheromone is expelled from glands, or if it is not true that if packers have (part) legs, then moose have legs, then most flames contain gases.', 'Once we know the claim that if it is not true that if packers have (part) legs, then moose have legs, then the statement, most flames contain gases, does not hold has no merit, we also know that either inefficiency also results from a lack of memory or interactive simulation shows forces.', 'Once we know sexual reproduction means there is much greater scope for genetic variation of offspring, we also know that it is not true that some pheromone is expelled from glands.', 'It is a simple truth that sexual reproduction means there is much greater scope for genetic variation of offspring.', 'When the claim that if it is not true that if packers have (part) legs, then moose have legs, then the statement, most flames contain gases, does not hold has no merit is true, it follows that g counts the number of perfect matchings in G .', 'When g counts the number of perfect matchings in G is true, it follows that the statement, either inefficiency also results from a lack of memory or interactive simulation shows forces, does not hold.']
|
Either one or both of these statements are true: some pheromone is expelled from glands, or if it is not true that if packers have (part) legs, then moose have legs, then most flames contain gases. Once we know the claim that if it is not true that if packers have (part) legs, then moose have legs, then the statement, most flames contain gases, does not hold has no merit, we also know that either inefficiency also results from a lack of memory or interactive simulation shows forces. Once we know sexual reproduction means there is much greater scope for genetic variation of offspring, we also know that it is not true that some pheromone is expelled from glands. It is a simple truth that sexual reproduction means there is much greater scope for genetic variation of offspring. When the claim that if it is not true that if packers have (part) legs, then moose have legs, then the statement, most flames contain gases, does not hold has no merit is true, it follows that g counts the number of perfect matchings in G . When g counts the number of perfect matchings in G is true, it follows that the statement, either inefficiency also results from a lack of memory or interactive simulation shows forces, does not hold.
|
Assuming packers have (part) legs, we know that moose have legs.
|
It is not true that if packers have (part) legs, then moose have legs.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not (If [0], then [1].).), then [2].).
Not [3]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Modus Ponens:
If [7], then (Not [3].).
[7]
Therefore, Not [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Either [4] or [5].).
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not (Either [4] or [5].).). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [6].
If [6], then (Not (Either [4] or [5].).).
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not (Either [4] or [5].).)..
|
{0: 'Packers have (part) legs.', 1: 'Moose have legs.', 2: 'Most flames contain gases.', 3: 'Some pheromone is expelled from glands.', 4: 'Inefficiency also results from a lack of memory.', 5: 'Interactive simulation shows forces.', 6: 'G counts the number of perfect matchings in G .', 7: 'Sexual reproduction means there is much greater scope for genetic variation of offspring.'}
| 5 |
4,051 |
["Whenever it is true that the claim that green lacewings are major predators of corn pests does not correspond with reality, 'lakes are dry' is true.", 'It is rational to believe that either climate change means much more than higher temperatures or silver also occurs as a free metal, but much less often than gold or copper.', 'Given that climate change means much more than higher temperatures, it can be inferred that either beavers search for suitable habitats or chemical structures represent substrates.', 'Once we know silver also occurs as a free metal, but much less often than gold or copper, we also know that some children die before fifth birthdays.', 'Once we know either beavers search for suitable habitats or chemical structures represent substrates, we also know that some stars keep shrinking until they become a cooling ember made up of iron.', 'Once we know some stars keep shrinking until they become a cooling ember made up of iron, we also know that the statement that states lakes are dry is false.', 'Either activities involve contact or if some children die before fifth birthdays, then the statement that states lakes are dry is false.', 'The claim that activities involve contact is false.']
|
Whenever it is true that the claim that green lacewings are major predators of corn pests does not correspond with reality, 'lakes are dry' is true. It is rational to believe that either climate change means much more than higher temperatures or silver also occurs as a free metal, but much less often than gold or copper. Given that climate change means much more than higher temperatures, it can be inferred that either beavers search for suitable habitats or chemical structures represent substrates. Once we know silver also occurs as a free metal, but much less often than gold or copper, we also know that some children die before fifth birthdays. Once we know either beavers search for suitable habitats or chemical structures represent substrates, we also know that some stars keep shrinking until they become a cooling ember made up of iron. Once we know some stars keep shrinking until they become a cooling ember made up of iron, we also know that the statement that states lakes are dry is false. Either activities involve contact or if some children die before fifth birthdays, then the statement that states lakes are dry is false. The claim that activities involve contact is false.
|
Those that suggest green lacewings are major predators of corn pests are right.
|
The claim that green lacewings are major predators of corn pests does not reflect reality.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (Not [1].). [SC2-2]
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7].
If [6], then (Either [2] or [3].).
If [7], then [4].
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [5].
If [5], then (Not [1].).
Therefore, If (Either [2] or [3].), then (Not [1].)..
[SC3-2]
Disjunctive Syllogism:
Either [8] or (If [4], then (Not [1].).).
Not [8].
Therefore, If [4], then (Not [1].)..
|
{0: 'Green lacewings are major predators of corn pests.', 1: 'Lakes are dry.', 2: 'Beavers search for suitable habitats.', 3: 'Chemical structures represent substrates.', 4: 'Some children die before fifth birthdays.', 5: 'Some stars keep shrinking until they become a cooling ember made up of iron.', 6: 'Climate change means much more than higher temperatures.', 7: 'Silver also occurs as a free metal, but much less often than gold or copper.', 8: 'Activities involve contact.'}
| 5 |
4,090 |
["Should it be the case that the statement 'if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' can be considered false, it follows that cheletropic reactions are a subclass of cycloadditions .", "Whenever it is true that miracles are the fruits of faith, 'if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then the statement that 'if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' is incorrect' is true.", "On the condition that bitter pit reduces the fresh market quality of fruit, it is definitely the case that if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then the statement that 'if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' is incorrect.", 'Should it be the case that cheletropic reactions are a subclass of cycloadditions , it follows that either some houseplants grow to rosettes or channel catfish are thick and biting well on clam snouts, nightcrawlers and live minnows.', 'Assuming cheletropic reactions are a subclass of cycloadditions , we know that the claim that either some houseplants grow to rosettes or channel catfish are thick and biting well on clam snouts, nightcrawlers and live minnows does not reflect reality.', "It is rational to believe that either if oral contraceptives contain two hormones, a progestin and an estrogen, then relaxation is nature's antidote to stress or most burglaries take place during nonworking hours.", "Provided that if oral contraceptives contain two hormones, a progestin and an estrogen, then relaxation is nature's antidote to stress, we know that miracles are the fruits of faith.", 'Given that most burglaries take place during nonworking hours, it can be inferred that bitter pit reduces the fresh market quality of fruit.']
|
Should it be the case that the statement 'if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' can be considered false, it follows that cheletropic reactions are a subclass of cycloadditions . Whenever it is true that miracles are the fruits of faith, 'if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then the statement that 'if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' is incorrect' is true. On the condition that bitter pit reduces the fresh market quality of fruit, it is definitely the case that if the claim that either weapons are used for protection or birds are a problem in all production areas does not reflect reality, then the statement that 'if calves are born throughout the year, then prescribed fire is used to improve range lands for domestic livestock' is incorrect. Should it be the case that cheletropic reactions are a subclass of cycloadditions , it follows that either some houseplants grow to rosettes or channel catfish are thick and biting well on clam snouts, nightcrawlers and live minnows. Assuming cheletropic reactions are a subclass of cycloadditions , we know that the claim that either some houseplants grow to rosettes or channel catfish are thick and biting well on clam snouts, nightcrawlers and live minnows does not reflect reality. It is rational to believe that either if oral contraceptives contain two hormones, a progestin and an estrogen, then relaxation is nature's antidote to stress or most burglaries take place during nonworking hours. Provided that if oral contraceptives contain two hormones, a progestin and an estrogen, then relaxation is nature's antidote to stress, we know that miracles are the fruits of faith. Given that most burglaries take place during nonworking hours, it can be inferred that bitter pit reduces the fresh market quality of fruit.
|
It is a fact that either weapons are used for protection or birds are a problem in all production areas.
|
It is a fact that either weapons are used for protection or birds are a problem in all production areas.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then (If [2], then [3].). [SC1-1]
If (Not (Either [0] or [1].).), then (Not (If [2], then [3].).). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then (If [2], then [3].).).), then [4].
Not [4]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (If [2], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If [4], then (Either [7] or [8].).
If [4], then (Not (Either [7] or [8].).).
Therefore, Not [4]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (If (Not (Either [0] or [1].).), then (Not (If [2], then [3].).).).
If [6], then (If (Not (Either [0] or [1].).), then (Not (If [2], then [3].).).).
Therefore, If (Not (Either [0] or [1].).), then (Not (If [2], then [3].).)..
[SC1-2]
Constructive Dilemma:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then [5].
If [11], then [6].
Therefore, Either [5] or [6]..
|
{0: 'Weapons are used for protection.', 1: 'Birds are a problem in all production areas.', 2: 'Calves are born throughout the year.', 3: 'Prescribed fire is used to improve range lands for domestic livestock.', 4: 'Cheletropic reactions are a subclass of cycloadditions .', 5: 'Miracles are the fruits of faith.', 6: 'Bitter pit reduces the fresh market quality of fruit.', 7: 'Some houseplants grow to rosettes.', 8: 'Channel catfish are thick and biting well on clam snouts, nightcrawlers and live minnows.', 9: 'Oral contraceptives contain two hormones, a progestin and an estrogen.', 10: "Relaxation is nature's antidote to stress.", 11: 'Most burglaries take place during nonworking hours.'}
| 5 |
4,354 |
["We know that at least one of two things is true: either ice crystal reflects sunlight or pads have (part) corpi, or the notion that 'either acidity is the fertile soil for parasites and degenerative diseases or bacteria can obtain resistance through various mechanisms' is untrue.", 'The claim that either ice crystal reflects sunlight or pads have (part) corpi has no merit.', "There is good reason to believe that either such situations can have consequences or if the statement 'either either acidity is the fertile soil for parasites and degenerative diseases or bacteria can obtain resistance through various mechanisms or those that suggest more older women die of heart disease than men are wrong' can be considered false, then muscles can also contribute to back pain through tension.", 'The claim that such situations can have consequences does not correspond with reality.', 'Once we know muscles can also contribute to back pain through tension, we also know that many hedgehogs die each year from a number of hazards, many of which are caused by man.', 'It is a common misconception that many hedgehogs die each year from a number of hazards, many of which are caused by man.']
|
We know that at least one of two things is true: either ice crystal reflects sunlight or pads have (part) corpi, or the notion that 'either acidity is the fertile soil for parasites and degenerative diseases or bacteria can obtain resistance through various mechanisms' is untrue. The claim that either ice crystal reflects sunlight or pads have (part) corpi has no merit. There is good reason to believe that either such situations can have consequences or if the statement 'either either acidity is the fertile soil for parasites and degenerative diseases or bacteria can obtain resistance through various mechanisms or those that suggest more older women die of heart disease than men are wrong' can be considered false, then muscles can also contribute to back pain through tension. The claim that such situations can have consequences does not correspond with reality. Once we know muscles can also contribute to back pain through tension, we also know that many hedgehogs die each year from a number of hazards, many of which are caused by man. It is a common misconception that many hedgehogs die each year from a number of hazards, many of which are caused by man.
|
Those that suggest more older women die of heart disease than men are wrong.
|
It is rational to agree that more older women die of heart disease than men.
|
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]
Modus Tonens:
If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either (Either [1] or [2].) or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3].).
Not [7].
Therefore, If (Not (Either (Either [1] or [2].) or (Not [0].).).), then [3]..
[SC2-2]
Modus Tonens:
If [3], then [6].
Not [6].
Therefore, Not [3]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Not (Either [1] or [2].).).
Not (Either [4] or [5].).
Therefore, Not (Either [1] or [2].)..
|
{0: 'More older women die of heart disease than men.', 1: 'Acidity is the fertile soil for parasites and degenerative diseases.', 2: 'Bacteria can obtain resistance through various mechanisms.', 3: 'Muscles can also contribute to back pain through tension.', 4: 'Ice crystal reflects sunlight.', 5: 'Pads have (part) corpi.', 6: 'Many hedgehogs die each year from a number of hazards, many of which are caused by man.', 7: 'Such situations can have consequences.'}
| 5 |
4,632 |
['It is not the case that many elderly people acquire actinic keratosis or sun produced horny growth.', 'Either one or both of these statements are true: most inorganic compounds have amounts, or either infected birds are often asymptomatic or oscilloscopes measure current and voltage and through the magic of mathematics calculate power.', 'The statement that states most inorganic compounds have amounts is false.', 'On the condition that the statement that states if infected birds are often asymptomatic, then many elderly people acquire actinic keratosis or sun produced horny growth is false, it is definitely the case that contractors have (part) cells.', 'The statement that states contractors have (part) cells is false.', 'It is a fact that either termites also have the largest mounds of any animal except for the humans or sea salt is just natural reside from sea water usually without additives.', 'If termites also have the largest mounds of any animal except for the humans, then if oscilloscopes measure current and voltage and through the magic of mathematics calculate power, then manuls live on the rocky plateaus and riverbanks of Central Asia.', "Whenever it is true that sea salt is just natural reside from sea water usually without additives, 'if oscilloscopes measure current and voltage and through the magic of mathematics calculate power, then manuls live on the rocky plateaus and riverbanks of Central Asia' is true."]
|
It is not the case that many elderly people acquire actinic keratosis or sun produced horny growth. Either one or both of these statements are true: most inorganic compounds have amounts, or either infected birds are often asymptomatic or oscilloscopes measure current and voltage and through the magic of mathematics calculate power. The statement that states most inorganic compounds have amounts is false. On the condition that the statement that states if infected birds are often asymptomatic, then many elderly people acquire actinic keratosis or sun produced horny growth is false, it is definitely the case that contractors have (part) cells. The statement that states contractors have (part) cells is false. It is a fact that either termites also have the largest mounds of any animal except for the humans or sea salt is just natural reside from sea water usually without additives. If termites also have the largest mounds of any animal except for the humans, then if oscilloscopes measure current and voltage and through the magic of mathematics calculate power, then manuls live on the rocky plateaus and riverbanks of Central Asia. Whenever it is true that sea salt is just natural reside from sea water usually without additives, 'if oscilloscopes measure current and voltage and through the magic of mathematics calculate power, then manuls live on the rocky plateaus and riverbanks of Central Asia' is true.
|
It is fair to say that manuls live on the rocky plateaus and riverbanks of Central Asia.
|
The statement 'manuls live on the rocky plateaus and riverbanks of Central Asia' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [2] or [3].).
Not [5].
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [4].
Not [4].
Therefore, If [2], then [1]..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then [0].).
If [7], then (If [3], then [0].).
Therefore, If [3], then [0]..
|
{0: 'Manuls live on the rocky plateaus and riverbanks of Central Asia.', 1: 'Many elderly people acquire actinic keratosis or sun produced horny growth.', 2: 'Infected birds are often asymptomatic.', 3: 'Oscilloscopes measure current and voltage and through the magic of mathematics calculate power.', 4: 'Contractors have (part) cells.', 5: 'Most inorganic compounds have amounts.', 6: 'Termites also have the largest mounds of any animal except for the humans.', 7: 'Sea salt is just natural reside from sea water usually without additives.'}
| 5 |
4,460 |
['It is true that women use the emotion of love to lure and tempt men.', 'On the condition that trees shed twigs, it is definitely the case that if women use the emotion of love to lure and tempt men, then workers to complete tasks.', 'On the condition that the claim that either trees shed twigs or either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants is false, it is definitely the case that it is a common misconception that power is a well-understood concept in technology circles.', 'One may reasonably assume that if we know that the claim that if either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants, then if women use the emotion of love to lure and tempt men, then workers to complete tasks is false, then ancient philosophers develop concepts.', "Once we know we know that the claim that if either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants, then if women use the emotion of love to lure and tempt men, then workers to complete tasks is false, we also know that the statement that 'ancient philosophers develop concepts' is incorrect.", 'Provided that the claim that either trees shed twigs or either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants is false, we know that stomach cancer affects men twice as often as women.', 'Should it be the case that stomach cancer affects men twice as often as women, it follows that power is a well-understood concept in technology circles.']
|
It is true that women use the emotion of love to lure and tempt men. On the condition that trees shed twigs, it is definitely the case that if women use the emotion of love to lure and tempt men, then workers to complete tasks. On the condition that the claim that either trees shed twigs or either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants is false, it is definitely the case that it is a common misconception that power is a well-understood concept in technology circles. One may reasonably assume that if we know that the claim that if either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants, then if women use the emotion of love to lure and tempt men, then workers to complete tasks is false, then ancient philosophers develop concepts. Once we know we know that the claim that if either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants, then if women use the emotion of love to lure and tempt men, then workers to complete tasks is false, we also know that the statement that 'ancient philosophers develop concepts' is incorrect. Provided that the claim that either trees shed twigs or either true bulbs are made up of rings, called scales, which are modified leaves that store food or vegetation includes riverine forest and numerous species of aquatic plants is false, we know that stomach cancer affects men twice as often as women. Should it be the case that stomach cancer affects men twice as often as women, it follows that power is a well-understood concept in technology circles.
|
It is reasonable to believe that workers to complete tasks.
|
Workers play a critical role in occupational safety and health.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-2]
If [2], then (If [1], then [0].).
If (Either [3] or [4].), then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (Either [3] or [4].).).), then [6]. [SC1-3]
If (Not (Either [2] or (Either [3] or [4].).).), then (Not [6].).
Therefore, Either [2] or (Either [3] or [4].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [2] or (Either [3] or [4].).).), then [7].
If [7], then [6].
Therefore, If (Not (Either [2] or (Either [3] or [4].).).), then [6]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then (If [1], then [0].).).), then [5].
If (Not (If (Either [3] or [4].), then (If [1], then [0].).).), then (Not [5].).
Therefore, If (Either [3] or [4].), then (If [1], then [0].)..
|
{0: 'Workers to complete tasks.', 1: 'Women use the emotion of love to lure and tempt men.', 2: 'Trees shed twigs.', 3: 'True bulbs are made up of rings, called scales, which are modified leaves that store food.', 4: 'Vegetation includes riverine forest and numerous species of aquatic plants.', 5: 'Ancient philosophers develop concepts.', 6: 'Power is a well-understood concept in technology circles.', 7: 'Stomach cancer affects men twice as often as women.'}
| 5 |
4,022 |
['At least one of two things is true: raves are the nineties version of a kids dance party, or spider mites in dry sites and dry years.', "The statement 'raves are the nineties version of a kids dance party' can be considered false.", "So long as the claim that if spider mites in dry sites and dry years, then tannin is grudgingly water soluble is false, 'locker rooms are located in jocks' is true.", 'The claim that locker rooms are located in jocks does not reflect reality.', 'Provided that tannin is grudgingly water soluble, we know that infected blood can easily seep through the eyes, nose or mouth, or through a small cut.', 'Once we know infected blood can easily seep through the eyes, nose or mouth, or through a small cut, we also know that most cows are harvested for beef.']
|
At least one of two things is true: raves are the nineties version of a kids dance party, or spider mites in dry sites and dry years. The statement 'raves are the nineties version of a kids dance party' can be considered false. So long as the claim that if spider mites in dry sites and dry years, then tannin is grudgingly water soluble is false, 'locker rooms are located in jocks' is true. The claim that locker rooms are located in jocks does not reflect reality. Provided that tannin is grudgingly water soluble, we know that infected blood can easily seep through the eyes, nose or mouth, or through a small cut. Once we know infected blood can easily seep through the eyes, nose or mouth, or through a small cut, we also know that most cows are harvested for beef.
|
It is rational to agree that most cows are harvested for beef.
|
Cows occupy special places.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [3].).), then [5].
Not [5].
Therefore, If [1], then [3]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [4].
If [4], then [0].
Therefore, If [3], then [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2].
Therefore, [1].
|
{0: 'Most cows are harvested for beef.', 1: 'Spider mites in dry sites and dry years.', 2: 'Raves are the nineties version of a kids dance party.', 3: 'Tannin is grudgingly water soluble.', 4: 'Infected blood can easily seep through the eyes, nose or mouth, or through a small cut.', 5: 'Locker rooms are located in jocks.'}
| 5 |
4,374 |
['Provided that those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, we know that it is not the case that some drugs also sedate and have side effects too.', 'Either one or both of these statements are true: some ingestion has different phases, or foxes have natural predators.', 'Provided that foxes have natural predators, we know that if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too.', "On the condition that china is the world's single largest producer of sports equipment, it is definitely the case that if some ingestion has different phases, then if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too.", 'At least one of two things is true: either decoupages are art or hedgehogs have lifespans, or pages include descriptions.', "On the condition that either decoupages are art or hedgehogs have lifespans, it is definitely the case that either most epiphytic plants use roots or china is the world's single largest producer of sports equipment.", "Provided that pages include descriptions, we know that either most epiphytic plants use roots or china is the world's single largest producer of sports equipment.", "Whenever it is true that most epiphytic plants use roots, 'infants learn from mothers' is true.", 'Given that infants learn from mothers, it can be inferred that if some ingestion has different phases, then if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too.']
|
Provided that those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, we know that it is not the case that some drugs also sedate and have side effects too. Either one or both of these statements are true: some ingestion has different phases, or foxes have natural predators. Provided that foxes have natural predators, we know that if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too. On the condition that china is the world's single largest producer of sports equipment, it is definitely the case that if some ingestion has different phases, then if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too. At least one of two things is true: either decoupages are art or hedgehogs have lifespans, or pages include descriptions. On the condition that either decoupages are art or hedgehogs have lifespans, it is definitely the case that either most epiphytic plants use roots or china is the world's single largest producer of sports equipment. Provided that pages include descriptions, we know that either most epiphytic plants use roots or china is the world's single largest producer of sports equipment. Whenever it is true that most epiphytic plants use roots, 'infants learn from mothers' is true. Given that infants learn from mothers, it can be inferred that if some ingestion has different phases, then if those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are wrong, then some drugs also sedate and have side effects too.
|
Those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are right.
|
Those that suggest ethnic pluralism becomes apparent through a variety of languages and cultural diversity are right.
|
TRUE
|
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].
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If [2], then (If (Not [0].), then [1].).). [SC2-3]
If [5], then (If [2], then (If (Not [0].), then [1].).).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Either [4] or [5].).
If [9], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-3]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (If [2], then (If (Not [0].), then [1].).).
Therefore, If [4], then (If [2], then (If (Not [0].), then [1].).)..
|
{0: 'Ethnic pluralism becomes apparent through a variety of languages and cultural diversity.', 1: 'Some drugs also sedate and have side effects too.', 2: 'Some ingestion has different phases.', 3: 'Foxes have natural predators.', 4: 'Most epiphytic plants use roots.', 5: "China is the world's single largest producer of sports equipment.", 6: 'Infants learn from mothers.', 7: 'Decoupages are art.', 8: 'Hedgehogs have lifespans.', 9: 'Pages include descriptions.'}
| 5 |
4,546 |
['One may reasonably assume that if little bluestem starts growth in the spring with only a few leaves but then fills out rapidly, then most oysters have nice round shapes.', 'Given that those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, it can be inferred that most children consume water.', "Whenever it is true that goats eat hay, 'if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect' is true.", 'One may reasonably assume that if cooking is the only artistic medium that appeals to all five senses, then either most dogs stay in homes or goats eat hay.', 'It is rational to agree that cooking is the only artistic medium that appeals to all five senses.', 'Either one or both of these statements are true: winds tend to move in counter-clockwise motion around an area of Low pressure, or belvederes are gazebos.', "Provided that winds tend to move in counter-clockwise motion around an area of Low pressure, we know that if most dogs stay in homes, then if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect.", "Once we know belvederes are gazebos, we also know that if most dogs stay in homes, then if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect."]
|
One may reasonably assume that if little bluestem starts growth in the spring with only a few leaves but then fills out rapidly, then most oysters have nice round shapes. Given that those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, it can be inferred that most children consume water. Whenever it is true that goats eat hay, 'if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect' is true. One may reasonably assume that if cooking is the only artistic medium that appeals to all five senses, then either most dogs stay in homes or goats eat hay. It is rational to agree that cooking is the only artistic medium that appeals to all five senses. Either one or both of these statements are true: winds tend to move in counter-clockwise motion around an area of Low pressure, or belvederes are gazebos. Provided that winds tend to move in counter-clockwise motion around an area of Low pressure, we know that if most dogs stay in homes, then if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect. Once we know belvederes are gazebos, we also know that if most dogs stay in homes, then if those that suggest little bluestem starts growth in the spring with only a few leaves but then fills out rapidly are wrong, then the statement that 'most children consume water' is incorrect.
|
The idea that most oysters have nice round shapes is true.
|
The idea that most oysters have nice round shapes is true.
|
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]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not [1].), then (Not [2].).). [SC2-3]
If [4], then (If (Not [1].), then (Not [2].).).
Therefore, If (Not [1].), then (Not [2].)..
[SC1-3]
Modus Ponens:
If [7], then (Either [3] or [4].).
[7]
Therefore, Either [3] or [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (If (Not [1].), then (Not [2].).).).
If [6], then (If [3], then (If (Not [1].), then (Not [2].).).).
Therefore, If [3], then (If (Not [1].), then (Not [2].).)..
|
{0: 'Most oysters have nice round shapes.', 1: 'Little bluestem starts growth in the spring with only a few leaves but then fills out rapidly.', 2: 'Most children consume water.', 3: 'Most dogs stay in homes.', 4: 'Goats eat hay.', 5: 'Winds tend to move in counter-clockwise motion around an area of Low pressure.', 6: 'Belvederes are gazebos.', 7: 'Cooking is the only artistic medium that appeals to all five senses.'}
| 5 |
4,439 |
["Whenever it is true that the statement that states pSychopaths seem proud of their ability to lie is false, 'the statement that 'muscle tissue contains proteins' is incorrect' is true.", 'There is good reason to believe that either language is a system of cultural knowledge used to generate and interpret speech or frogs have long back legs and webbed feet for jumping and swimming.', "Whenever it is true that language is a system of cultural knowledge used to generate and interpret speech, 'either solutions use methods or if the statement that states pSychopaths seem proud of their ability to lie is false, then muscle tissue contains proteins' is true.", "So long as peddlers are sellers, 'the claim that solutions use methods does not correspond with reality' is true.", 'The claim that peddlers are sellers holds true.', 'At least one of two things is true: some diseases associate with recreational exposure, or if frogs have long back legs and webbed feet for jumping and swimming, then either solutions use methods or if the statement that states pSychopaths seem proud of their ability to lie is false, then muscle tissue contains proteins.', "The statement that 'some diseases associate with recreational exposure' is incorrect."]
|
Whenever it is true that the statement that states pSychopaths seem proud of their ability to lie is false, 'the statement that 'muscle tissue contains proteins' is incorrect' is true. There is good reason to believe that either language is a system of cultural knowledge used to generate and interpret speech or frogs have long back legs and webbed feet for jumping and swimming. Whenever it is true that language is a system of cultural knowledge used to generate and interpret speech, 'either solutions use methods or if the statement that states pSychopaths seem proud of their ability to lie is false, then muscle tissue contains proteins' is true. So long as peddlers are sellers, 'the claim that solutions use methods does not correspond with reality' is true. The claim that peddlers are sellers holds true. At least one of two things is true: some diseases associate with recreational exposure, or if frogs have long back legs and webbed feet for jumping and swimming, then either solutions use methods or if the statement that states pSychopaths seem proud of their ability to lie is false, then muscle tissue contains proteins. The statement that 'some diseases associate with recreational exposure' is incorrect.
|
The claim that pSychopaths seem proud of their ability to lie is true.
|
The claim that pSychopaths seem proud of their ability to lie is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or (If (Not [0].), then [1].).).
If [4], then (Either [2] or (If (Not [0].), then [1].).). [SC3-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC3-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (Either [2] or (If (Not [0].), then [1].).).).
Not [6].
Therefore, If [4], then (Either [2] or (If (Not [0].), then [1].).)..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
|
{0: 'PSychopaths seem proud of their ability to lie.', 1: 'Muscle tissue contains proteins.', 2: 'Solutions use methods.', 3: 'Language is a system of cultural knowledge used to generate and interpret speech.', 4: 'Frogs have long back legs and webbed feet for jumping and swimming.', 5: 'Peddlers are sellers.', 6: 'Some diseases associate with recreational exposure.'}
| 5 |
4,218 |
['Given that it is not the case that if the statement, librarians have (part) necks, does not hold, then baseball is a sport that takes above-average intelligence in order to manage, it can be inferred that either insects have (part) plasma membranes or stomachs are located in animals.', 'The claim that either insects have (part) plasma membranes or stomachs are located in animals has no merit.', 'It is rational to believe that either regular exercise is also important to maintaining a healthy weight or most dolphins prefer water.', "So long as it is not true that if regular exercise is also important to maintaining a healthy weight, then the statement that 'baseball is a sport that takes above-average intelligence in order to manage' is incorrect, 'dehydration is quite dangerous' is true.", 'We know that the claim that dehydration is quite dangerous is false.', "At least one of two things is true: stomach acid kills most microorganisms ingested in food or drink, or if most dolphins prefer water, then the statement that 'baseball is a sport that takes above-average intelligence in order to manage' is incorrect.", 'It is not the case that stomach acid kills most microorganisms ingested in food or drink.']
|
Given that it is not the case that if the statement, librarians have (part) necks, does not hold, then baseball is a sport that takes above-average intelligence in order to manage, it can be inferred that either insects have (part) plasma membranes or stomachs are located in animals. The claim that either insects have (part) plasma membranes or stomachs are located in animals has no merit. It is rational to believe that either regular exercise is also important to maintaining a healthy weight or most dolphins prefer water. So long as it is not true that if regular exercise is also important to maintaining a healthy weight, then the statement that 'baseball is a sport that takes above-average intelligence in order to manage' is incorrect, 'dehydration is quite dangerous' is true. We know that the claim that dehydration is quite dangerous is false. At least one of two things is true: stomach acid kills most microorganisms ingested in food or drink, or if most dolphins prefer water, then the statement that 'baseball is a sport that takes above-average intelligence in order to manage' is incorrect. It is not the case that stomach acid kills most microorganisms ingested in food or drink.
|
The claim that librarians have (part) necks is true.
|
The claim that librarians have (part) necks is true.
|
TRUE
|
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 [4] or [5].).
Not (Either [4] or [5].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [7].
Not [7].
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: 'Librarians have (part) necks.', 1: 'Baseball is a sport that takes above-average intelligence in order to manage.', 2: 'Regular exercise is also important to maintaining a healthy weight.', 3: 'Most dolphins prefer water.', 4: 'Insects have (part) plasma membranes.', 5: 'Stomachs are located in animals.', 6: 'Stomach acid kills most microorganisms ingested in food or drink.', 7: 'Dehydration is quite dangerous.'}
| 5 |
4,737 |
['It is rational to agree that deep wells provide water for some irrigation.', 'There is good reason to believe that either japan is a country where female college graduates have very few career women as role models or people differ in their response to thermal stress.', 'The statement that states japan is a country where female college graduates have very few career women as role models is false.', 'We know that either laser is associated with a prolonged tissue-sloughing period or if deep wells provide water for some irrigation, then if people differ in their response to thermal stress, then most wild yaks adapt to regions.', "Provided that kids have cognitive performance, we know that the notion that 'laser is associated with a prolonged tissue-sloughing period' is untrue.", 'It is the case that kids have cognitive performance.']
|
It is rational to agree that deep wells provide water for some irrigation. There is good reason to believe that either japan is a country where female college graduates have very few career women as role models or people differ in their response to thermal stress. The statement that states japan is a country where female college graduates have very few career women as role models is false. We know that either laser is associated with a prolonged tissue-sloughing period or if deep wells provide water for some irrigation, then if people differ in their response to thermal stress, then most wild yaks adapt to regions. Provided that kids have cognitive performance, we know that the notion that 'laser is associated with a prolonged tissue-sloughing period' is untrue. It is the case that kids have cognitive performance.
|
The statement 'most wild yaks adapt to regions' can be considered true.
|
Wild yaks are usually black.
|
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]
Disjunctive Syllogism:
Either [4] or (If [2], then (If [1], then [0].).).
Not [4]. [SC2-3]
Therefore, If [2], then (If [1], then [0].)..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1].
Not [3].
Therefore, [1].
|
{0: 'Most wild yaks adapt to regions.', 1: 'People differ in their response to thermal stress.', 2: 'Deep wells provide water for some irrigation.', 3: 'Japan is a country where female college graduates have very few career women as role models.', 4: 'Laser is associated with a prolonged tissue-sloughing period.', 5: 'Kids have cognitive performance.'}
| 5 |
4,505 |
["So long as the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, 'haze fluid is odorless and leaves no residue when used properly' is true.", 'When infected dams can pass the disease to calves while nursing, through their colostrum and milk is true, it follows that if we know that the claim that if the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, then the claim that haze fluid is odorless and leaves no residue when used properly does not correspond with reality is false, then phosphoric acid is a triprotic acid, but only two inflections appear on the titration curve.', 'It is a simple truth that infected dams can pass the disease to calves while nursing, through their colostrum and milk.', "Whenever it is true that it is not the case that if we know that the claim that if the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, then the claim that haze fluid is odorless and leaves no residue when used properly does not correspond with reality is false, then some people mistakenly believe that phosphoric acid is a triprotic acid, but only two inflections appear on the titration curve, 'aldosterone increases the reabsorption of sodium from sweat' is true.", "There is good reason to believe that either either owls are found on all continents except Antarctica and on most oceanic islands or glaciers require very specific geographical and climatic conditions or the notion that 'aldosterone increases the reabsorption of sodium from sweat' is untrue.", 'The claim that either owls are found on all continents except Antarctica and on most oceanic islands or glaciers require very specific geographical and climatic conditions does not correspond with reality.']
|
So long as the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, 'haze fluid is odorless and leaves no residue when used properly' is true. When infected dams can pass the disease to calves while nursing, through their colostrum and milk is true, it follows that if we know that the claim that if the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, then the claim that haze fluid is odorless and leaves no residue when used properly does not correspond with reality is false, then phosphoric acid is a triprotic acid, but only two inflections appear on the titration curve. It is a simple truth that infected dams can pass the disease to calves while nursing, through their colostrum and milk. Whenever it is true that it is not the case that if we know that the claim that if the claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength does not correspond with reality, then the claim that haze fluid is odorless and leaves no residue when used properly does not correspond with reality is false, then some people mistakenly believe that phosphoric acid is a triprotic acid, but only two inflections appear on the titration curve, 'aldosterone increases the reabsorption of sodium from sweat' is true. There is good reason to believe that either either owls are found on all continents except Antarctica and on most oceanic islands or glaciers require very specific geographical and climatic conditions or the notion that 'aldosterone increases the reabsorption of sodium from sweat' is untrue. The claim that either owls are found on all continents except Antarctica and on most oceanic islands or glaciers require very specific geographical and climatic conditions does not correspond with reality.
|
Given that dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, it can be inferred that fibres tend to have a lower minimum diameter in autumn leading to lower strength.
|
The claim that if dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption, then fibres tend to have a lower minimum diameter in autumn leading to lower strength has no merit.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [3]. [SC1-2]
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not [3].). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [3].).
[4]
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [3]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not [3].).).), then [5].
Not [5]. [SC2-3]
Therefore, If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not [5].).
Not (Either [6] or [7].).
Therefore, Not [5]..
|
{0: 'Dietary cholesterol takes time to be absorbed and therefore is susceptible to disruption.', 1: 'Fibres tend to have a lower minimum diameter in autumn leading to lower strength.', 2: 'Haze fluid is odorless and leaves no residue when used properly.', 3: 'Phosphoric acid is a triprotic acid, but only two inflections appear on the titration curve.', 4: 'Infected dams can pass the disease to calves while nursing, through their colostrum and milk.', 5: 'Aldosterone increases the reabsorption of sodium from sweat.', 6: 'Owls are found on all continents except Antarctica and on most oceanic islands.', 7: 'Glaciers require very specific geographical and climatic conditions.'}
| 5 |
4,605 |
['We know that at least one of two things is true: an engine room is a room, or cardiac arrest can strike anybody, anyplace and often without warning.', 'We know that at least one of two things is true: if some parasites live in streams, then cats have (part) corpi, or if an engine room is a room, then we know that the claim that if many scientists to pursue careers, then bowls are vessels is false.', 'If cardiac arrest can strike anybody, anyplace and often without warning, then high visibility is what attracts advertisers.', "So long as high visibility is what attracts advertisers, 'we know that the claim that if many scientists to pursue careers, then bowls are vessels is false' is true.", 'We know that either either chipmunks have (part) sterna or elements of design affect nearly all aspects of daily living or mutation rates are too low to explain evolutionary rates.', "So long as either chipmunks have (part) sterna or elements of design affect nearly all aspects of daily living, 'the claim that if some parasites live in streams, then cats have (part) corpi does not correspond with reality' is true.", 'Should it be the case that many phospholipids have additions to the phosphate group, creating distinct headgroups , it follows that if mutation rates are too low to explain evolutionary rates, then the claim that if some parasites live in streams, then cats have (part) corpi does not correspond with reality.', 'It is rational to agree that many phospholipids have additions to the phosphate group, creating distinct headgroups .']
|
We know that at least one of two things is true: an engine room is a room, or cardiac arrest can strike anybody, anyplace and often without warning. We know that at least one of two things is true: if some parasites live in streams, then cats have (part) corpi, or if an engine room is a room, then we know that the claim that if many scientists to pursue careers, then bowls are vessels is false. If cardiac arrest can strike anybody, anyplace and often without warning, then high visibility is what attracts advertisers. So long as high visibility is what attracts advertisers, 'we know that the claim that if many scientists to pursue careers, then bowls are vessels is false' is true. We know that either either chipmunks have (part) sterna or elements of design affect nearly all aspects of daily living or mutation rates are too low to explain evolutionary rates. So long as either chipmunks have (part) sterna or elements of design affect nearly all aspects of daily living, 'the claim that if some parasites live in streams, then cats have (part) corpi does not correspond with reality' is true. Should it be the case that many phospholipids have additions to the phosphate group, creating distinct headgroups , it follows that if mutation rates are too low to explain evolutionary rates, then the claim that if some parasites live in streams, then cats have (part) corpi does not correspond with reality. It is rational to agree that many phospholipids have additions to the phosphate group, creating distinct headgroups .
|
We know that the claim that if many scientists to pursue careers, then bowls are vessels is false.
|
We know that the claim that if many scientists to pursue careers, then bowls are vessels is false.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not (If [0], then [1].).). [SC2-1]
If [3], then (Not (If [0], then [1].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [2], then (Not (If [0], then [1].).).).
Not (If [5], then [6].). [SC2-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-2]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Not (If [5], then [6].).).
If [9], then (Not (If [5], then [6].).). [SC3-3]
Therefore, Not (If [5], then [6].)..
[SC3-3]
Modus Ponens:
If [10], then (If [9], then (Not (If [5], then [6].).).).
[10]
Therefore, If [9], then (Not (If [5], then [6].).)..
[SC3-1]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (Not (If [0], then [1].).).
Therefore, If [3], then (Not (If [0], then [1].).)..
|
{0: 'Many scientists to pursue careers.', 1: 'Bowls are vessels.', 2: 'An engine room is a room.', 3: 'Cardiac arrest can strike anybody, anyplace and often without warning.', 4: 'High visibility is what attracts advertisers.', 5: 'Some parasites live in streams.', 6: 'Cats have (part) corpi.', 7: 'Chipmunks have (part) sterna.', 8: 'Elements of design affect nearly all aspects of daily living.', 9: 'Mutation rates are too low to explain evolutionary rates.', 10: 'Many phospholipids have additions to the phosphate group, creating distinct headgroups .'}
| 5 |
4,801 |
["On the condition that the statement that 'either either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes or cardiovascular diseases afflict humans' is incorrect, it is definitely the case that we know that the claim that most water buffalo lives in terrains is false.", 'On the condition that ancient vertebrates have problems, it is definitely the case that we know that the claim that either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes is false.', "Once we know the statement that 'either either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes or cardiovascular diseases afflict humans' is incorrect, we also know that either artists usually acknowledge the fact that emotions are a large part of their work or obesity is defined in the United States in terms of the body mass index.", 'Once we know either artists usually acknowledge the fact that emotions are a large part of their work or obesity is defined in the United States in terms of the body mass index, we also know that most water buffalo lives in terrains.', 'Given that it is not the case that ancient vertebrates have problems, it can be inferred that laughter has (part) speech sound.', 'On the condition that it is not the case that ancient vertebrates have problems, it is definitely the case that the statement that states laughter has (part) speech sound is false.']
|
On the condition that the statement that 'either either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes or cardiovascular diseases afflict humans' is incorrect, it is definitely the case that we know that the claim that most water buffalo lives in terrains is false. On the condition that ancient vertebrates have problems, it is definitely the case that we know that the claim that either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes is false. Once we know the statement that 'either either some follicles stimulate maturation or pumpkins can be one of several species, as can squashes or cardiovascular diseases afflict humans' is incorrect, we also know that either artists usually acknowledge the fact that emotions are a large part of their work or obesity is defined in the United States in terms of the body mass index. Once we know either artists usually acknowledge the fact that emotions are a large part of their work or obesity is defined in the United States in terms of the body mass index, we also know that most water buffalo lives in terrains. Given that it is not the case that ancient vertebrates have problems, it can be inferred that laughter has (part) speech sound. On the condition that it is not the case that ancient vertebrates have problems, it is definitely the case that the statement that states laughter has (part) speech sound is false.
|
Many people rightly believe that cardiovascular diseases afflict humans.
|
Cardiovascular disease is the principal cause of death in postmenopausal women.
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [0].).), then [4]. [SC1-2]
If (Not (Either (Either [1] or [2].) or [0].).), then (Not [4].).
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either (Either [1] or [2].) or [0].).), then (Either [5] or [6].).
If (Either [5] or [6].), then [4].
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then [4]..
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).).
[3] [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [7].
If (Not [3].), then (Not [7].).
Therefore, [3].
|
{0: 'Cardiovascular diseases afflict humans.', 1: 'Some follicles stimulate maturation.', 2: 'Pumpkins can be one of several species, as can squashes.', 3: 'Ancient vertebrates have problems.', 4: 'Most water buffalo lives in terrains.', 5: 'Artists usually acknowledge the fact that emotions are a large part of their work.', 6: 'Obesity is defined in the United States in terms of the body mass index.', 7: 'Laughter has (part) speech sound.'}
| 5 |
4,948 |
['It is not true that leprechauns never lie.', 'Those that suggest care helps life are right.', 'Either one or both of these statements are true: pill bugs look similar to sow bugs, but roll up in a ball when disturbed, or individual prey vary in their sizes and how easy they are to capture.', "Assuming pill bugs look similar to sow bugs, but roll up in a ball when disturbed, we know that if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then totalitarianism is a modelled modernisation.", "Given that individual prey vary in their sizes and how easy they are to capture, it can be inferred that if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then totalitarianism is a modelled modernisation.", "At least one of two things is true: most stars appear to be normal, mature stars that are using their nuclear fuel at a steady rate, or if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then the statement that states totalitarianism is a modelled modernisation is false.", "The statement that 'most stars appear to be normal, mature stars that are using their nuclear fuel at a steady rate' is incorrect."]
|
It is not true that leprechauns never lie. Those that suggest care helps life are right. Either one or both of these statements are true: pill bugs look similar to sow bugs, but roll up in a ball when disturbed, or individual prey vary in their sizes and how easy they are to capture. Assuming pill bugs look similar to sow bugs, but roll up in a ball when disturbed, we know that if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then totalitarianism is a modelled modernisation. Given that individual prey vary in their sizes and how easy they are to capture, it can be inferred that if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then totalitarianism is a modelled modernisation. At least one of two things is true: most stars appear to be normal, mature stars that are using their nuclear fuel at a steady rate, or if we know that the claim that if care helps life, then if the claim that doves frequently represent women's vulnerability has no merit, then leprechauns never lie is false, then the statement that states totalitarianism is a modelled modernisation is false. The statement that 'most stars appear to be normal, mature stars that are using their nuclear fuel at a steady rate' is incorrect.
|
It is fair to say that doves frequently represent women's vulnerability.
|
It is fair to say that doves frequently represent women's vulnerability.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [3]. [SC1-3]
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].). [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [2], then (If (Not [0].), then [1].).).), then [3].).
If [6], then (If (Not (If [2], then (If (Not [0].), then [1].).).), then [3].).
Therefore, If (Not (If [2], then (If (Not [0].), then [1].).).), then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or (If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].).).
Not [4].
Therefore, If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [3].)..
|
{0: "Doves frequently represent women's vulnerability.", 1: 'Leprechauns never lie.', 2: 'Care helps life.', 3: 'Totalitarianism is a modelled modernisation.', 4: 'Most stars appear to be normal, mature stars that are using their nuclear fuel at a steady rate.', 5: 'Pill bugs look similar to sow bugs, but roll up in a ball when disturbed.', 6: 'Individual prey vary in their sizes and how easy they are to capture.'}
| 5 |
4,683 |
['Once we know wolves are highly social and mate for life, we also know that plovers have (part) lips.', "So long as carnivores are placentals, 'plovers have (part) lips' is true.", 'If stereotypes can be dangerous when interacting with a specific person from a different culture, then either wolves are highly social and mate for life or carnivores are placentals.', 'Provided that visual processors learn best through pictures, patterns and mental images, we know that either if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal or stereotypes can be dangerous when interacting with a specific person from a different culture.', "Whenever it is true that the claim that if if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal, then either wolves are highly social and mate for life or carnivores are placentals does not correspond with reality, 'religious holidays dictate the serving of special meals' is true.", 'Should it be the case that the claim that if if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal, then either wolves are highly social and mate for life or carnivores are placentals does not correspond with reality, it follows that those that suggest religious holidays dictate the serving of special meals are wrong.', 'It is a fact that either most sauropods reach maturity or if economic inequality is extreme today, then blood is thicker than water, meaning family relationships have powerful influences.', 'If most sauropods reach maturity, then visual processors learn best through pictures, patterns and mental images.', 'One may reasonably assume that if if economic inequality is extreme today, then blood is thicker than water, meaning family relationships have powerful influences, then visual processors learn best through pictures, patterns and mental images.']
|
Once we know wolves are highly social and mate for life, we also know that plovers have (part) lips. So long as carnivores are placentals, 'plovers have (part) lips' is true. If stereotypes can be dangerous when interacting with a specific person from a different culture, then either wolves are highly social and mate for life or carnivores are placentals. Provided that visual processors learn best through pictures, patterns and mental images, we know that either if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal or stereotypes can be dangerous when interacting with a specific person from a different culture. Whenever it is true that the claim that if if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal, then either wolves are highly social and mate for life or carnivores are placentals does not correspond with reality, 'religious holidays dictate the serving of special meals' is true. Should it be the case that the claim that if if chefs hold wooden spoons, then incontinence can also decrease libido and inhibit arousal, then either wolves are highly social and mate for life or carnivores are placentals does not correspond with reality, it follows that those that suggest religious holidays dictate the serving of special meals are wrong. It is a fact that either most sauropods reach maturity or if economic inequality is extreme today, then blood is thicker than water, meaning family relationships have powerful influences. If most sauropods reach maturity, then visual processors learn best through pictures, patterns and mental images. One may reasonably assume that if if economic inequality is extreme today, then blood is thicker than water, meaning family relationships have powerful influences, then visual processors learn best through pictures, patterns and mental images.
|
It is rational to agree that plovers have (part) lips.
|
The statement that 'plovers have (part) lips' is incorrect.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (Either [1] or [2].). [SC2-2]
If [5], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Ponens:
If [6], then (Either (If [3], then [4].) or [5].).
[6] [SC2-3]
Therefore, Either (If [3], then [4].) or [5]..
[SC2-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then [6].
If (If [9], then [10].), then [6].
Therefore, [6].
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then (Either [1] or [2].).).), then [7].
If (Not (If (If [3], then [4].), then (Either [1] or [2].).).), then (Not [7].).
Therefore, If (If [3], then [4].), then (Either [1] or [2].)..
|
{0: 'Plovers have (part) lips.', 1: 'Wolves are highly social and mate for life.', 2: 'Carnivores are placentals.', 3: 'Chefs hold wooden spoons.', 4: 'Incontinence can also decrease libido and inhibit arousal.', 5: 'Stereotypes can be dangerous when interacting with a specific person from a different culture.', 6: 'Visual processors learn best through pictures, patterns and mental images.', 7: 'Religious holidays dictate the serving of special meals.', 8: 'Most sauropods reach maturity.', 9: 'Economic inequality is extreme today.', 10: 'Blood is thicker than water, meaning family relationships have powerful influences.'}
| 5 |
4,205 |
["On the condition that the statement 'parasitic infestation can also cause major irritation' can be considered false, it is definitely the case that some prescription drugs can cause itchiness.", 'Assuming some prescription drugs can cause itchiness, we know that all pregnant women tend toward anemia to some degree.', 'At least one of two things is true: golf is one of the most popular sports in the world, or either blankets have (part) sections or the claim that all pregnant women tend toward anemia to some degree is false.', 'The claim that golf is one of the most popular sports in the world does not reflect reality.', 'There is good reason to believe that either poachers have (part) body substances or either lead poisoning is caused primarily by deteriorating lead-based paint, which produces chips and dust or automata have (part) arms.', 'Should it be the case that poachers have (part) body substances, it follows that it is not true that blankets have (part) sections.', 'On the condition that either lead poisoning is caused primarily by deteriorating lead-based paint, which produces chips and dust or automata have (part) arms, it is definitely the case that it is not true that blankets have (part) sections.']
|
On the condition that the statement 'parasitic infestation can also cause major irritation' can be considered false, it is definitely the case that some prescription drugs can cause itchiness. Assuming some prescription drugs can cause itchiness, we know that all pregnant women tend toward anemia to some degree. At least one of two things is true: golf is one of the most popular sports in the world, or either blankets have (part) sections or the claim that all pregnant women tend toward anemia to some degree is false. The claim that golf is one of the most popular sports in the world does not reflect reality. There is good reason to believe that either poachers have (part) body substances or either lead poisoning is caused primarily by deteriorating lead-based paint, which produces chips and dust or automata have (part) arms. Should it be the case that poachers have (part) body substances, it follows that it is not true that blankets have (part) sections. On the condition that either lead poisoning is caused primarily by deteriorating lead-based paint, which produces chips and dust or automata have (part) arms, it is definitely the case that it is not true that blankets have (part) sections.
|
The statement that states parasitic infestation can also cause major irritation is right.
|
The statement that states parasitic infestation can also cause major irritation is right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either [2] or (Not [1].).).
Not [7].
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not [2].).
If (Either [5] or [6].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Parasitic infestation can also cause major irritation.', 1: 'All pregnant women tend toward anemia to some degree.', 2: 'Blankets have (part) sections.', 3: 'Some prescription drugs can cause itchiness.', 4: 'Poachers have (part) body substances.', 5: 'Lead poisoning is caused primarily by deteriorating lead-based paint, which produces chips and dust.', 6: 'Automata have (part) arms.', 7: 'Golf is one of the most popular sports in the world.'}
| 5 |
4,647 |
["Either one or both of these statements are true: rabbits raise rabbits, or either domestic dogs have three lower, but only two upper molars or the statement that 'different animals rely on different means to escape similar situations safely' is incorrect.", 'We know that at least one of two things is true: either human nutrition is extremely important or optic gliomas are growths along the optic nerve that goes from the eye to the brain, or the statement that states domestic dogs have three lower, but only two upper molars is false.', 'It is not the case that either human nutrition is extremely important or optic gliomas are growths along the optic nerve that goes from the eye to the brain.', 'Either one or both of these statements are true: spiritual joy springs more from the heart, affecting the whole person, or butterflies are located in butterfly bushs.', 'Provided that butterflies are located in butterfly bushs, we know that the claim that rabbits raise rabbits does not reflect reality.', 'Assuming spiritual joy springs more from the heart, affecting the whole person, we know that either preventive care is just that, preventing tooth decay, gum disease and the loss of teeth or vocabulary enrichment is an important part of language training.', 'Once we know either preventive care is just that, preventing tooth decay, gum disease and the loss of teeth or vocabulary enrichment is an important part of language training, we also know that the claim that rabbits raise rabbits does not reflect reality.']
|
Either one or both of these statements are true: rabbits raise rabbits, or either domestic dogs have three lower, but only two upper molars or the statement that 'different animals rely on different means to escape similar situations safely' is incorrect. We know that at least one of two things is true: either human nutrition is extremely important or optic gliomas are growths along the optic nerve that goes from the eye to the brain, or the statement that states domestic dogs have three lower, but only two upper molars is false. It is not the case that either human nutrition is extremely important or optic gliomas are growths along the optic nerve that goes from the eye to the brain. Either one or both of these statements are true: spiritual joy springs more from the heart, affecting the whole person, or butterflies are located in butterfly bushs. Provided that butterflies are located in butterfly bushs, we know that the claim that rabbits raise rabbits does not reflect reality. Assuming spiritual joy springs more from the heart, affecting the whole person, we know that either preventive care is just that, preventing tooth decay, gum disease and the loss of teeth or vocabulary enrichment is an important part of language training. Once we know either preventive care is just that, preventing tooth decay, gum disease and the loss of teeth or vocabulary enrichment is an important part of language training, we also know that the claim that rabbits raise rabbits does not reflect reality.
|
The statement that 'different animals rely on different means to escape similar situations safely' is incorrect.
|
It is reasonable to believe that different animals rely on different means to escape similar situations safely.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [1] or (Not [0].).).
Not [4]. [SC2-2]
Therefore, Either [1] or (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 (Either [7] or [8].).
If (Either [7] or [8].), then (Not [4].).
Therefore, If [5], then (Not [4].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Not [1].).
Not (Either [2] or [3].).
Therefore, Not [1]..
|
{0: 'Different animals rely on different means to escape similar situations safely.', 1: 'Domestic dogs have three lower, but only two upper molars.', 2: 'Human nutrition is extremely important.', 3: 'Optic gliomas are growths along the optic nerve that goes from the eye to the brain.', 4: 'Rabbits raise rabbits.', 5: 'Spiritual joy springs more from the heart, affecting the whole person.', 6: 'Butterflies are located in butterfly bushs.', 7: 'Preventive care is just that, preventing tooth decay, gum disease and the loss of teeth.', 8: 'Vocabulary enrichment is an important part of language training.'}
| 5 |
4,190 |
['Should it be the case that bicepses have (part) sections, it follows that if those that suggest kiwi has (part) vacuoles are wrong, then cholesterol is a fatty, plaque-like substance that can be found in the blood stream.', 'One may reasonably assume that if either untrusted software can contain viruses which intentionally cause damage or annoyance or addresses are speech acts, then if those that suggest kiwi has (part) vacuoles are wrong, then cholesterol is a fatty, plaque-like substance that can be found in the blood stream.', "So long as the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, 'it is not true that caterpillars has-part eyes' is true.", 'Given that either local currency is the Bermudian dollar, which is an even trade for the American dollar or animals forage in different thermal environments, it can be inferred that either bicepses have (part) sections or either untrusted software can contain viruses which intentionally cause damage or annoyance or addresses are speech acts.', 'We know that either local currency is the Bermudian dollar, which is an even trade for the American dollar or animals forage in different thermal environments.', "So long as it is not true that if the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, then caterpillars has-part eyes, 'homologous chromosomes are the same size and shape and carry genes for the same traits' is true.", 'Provided that it is not true that if the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, then caterpillars has-part eyes, we know that the claim that homologous chromosomes are the same size and shape and carry genes for the same traits does not reflect reality.']
|
Should it be the case that bicepses have (part) sections, it follows that if those that suggest kiwi has (part) vacuoles are wrong, then cholesterol is a fatty, plaque-like substance that can be found in the blood stream. One may reasonably assume that if either untrusted software can contain viruses which intentionally cause damage or annoyance or addresses are speech acts, then if those that suggest kiwi has (part) vacuoles are wrong, then cholesterol is a fatty, plaque-like substance that can be found in the blood stream. So long as the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, 'it is not true that caterpillars has-part eyes' is true. Given that either local currency is the Bermudian dollar, which is an even trade for the American dollar or animals forage in different thermal environments, it can be inferred that either bicepses have (part) sections or either untrusted software can contain viruses which intentionally cause damage or annoyance or addresses are speech acts. We know that either local currency is the Bermudian dollar, which is an even trade for the American dollar or animals forage in different thermal environments. So long as it is not true that if the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, then caterpillars has-part eyes, 'homologous chromosomes are the same size and shape and carry genes for the same traits' is true. Provided that it is not true that if the statement that states if those that suggest kiwi has (part) vacuoles are wrong, then the claim that cholesterol is a fatty, plaque-like substance that can be found in the blood stream does not correspond with reality is false, then caterpillars has-part eyes, we know that the claim that homologous chromosomes are the same size and shape and carry genes for the same traits does not reflect reality.
|
The statement 'kiwi has (part) vacuoles' can be considered true.
|
It is a common misconception that kiwi has (part) vacuoles.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-2]
If [2], then (If (Not [0].), then [1].).
If (Either [3] or [4].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If (Either [7] or [8].), then (Either [2] or (Either [3] or [4].).).
Either [7] or [8].
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [5]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [5].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [5].).), then [6].
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [5].).), then (Not [6].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [5]..
|
{0: 'Kiwi has (part) vacuoles.', 1: 'Cholesterol is a fatty, plaque-like substance that can be found in the blood stream.', 2: 'Bicepses have (part) sections.', 3: 'Untrusted software can contain viruses which intentionally cause damage or annoyance.', 4: 'Addresses are speech acts.', 5: 'Caterpillars has-part eyes.', 6: 'Homologous chromosomes are the same size and shape and carry genes for the same traits.', 7: 'Local currency is the Bermudian dollar, which is an even trade for the American dollar.', 8: 'Animals forage in different thermal environments.'}
| 5 |
4,361 |
['We know that at least one of two things is true: if music is the vernacular of the human soul, then most porcupines possess fur, or some radicles are part of nerves.', "Whenever it is true that if music is the vernacular of the human soul, then most porcupines possess fur, 'if either most pansies produce seeds or homelessness appears to be largely concentrated within urban areas, then a muscadine is a grape' is true.", 'Provided that seeds have both morphological and physiological dormancy, we know that most pansies produce seeds.', 'On the condition that hogs are swine, it is definitely the case that homelessness appears to be largely concentrated within urban areas.', "If the notion that 'if some radicles are part of nerves, then if either most pansies produce seeds or homelessness appears to be largely concentrated within urban areas, then a muscadine is a grape' is untrue, then approaches reflect medical judgment.", 'The statement that states approaches reflect medical judgment is false.', 'We know that either adipose tissue is composed predominantly of adipocytes or either seeds have both morphological and physiological dormancy or hogs are swine.', "The statement 'adipose tissue is composed predominantly of adipocytes' can be considered false."]
|
We know that at least one of two things is true: if music is the vernacular of the human soul, then most porcupines possess fur, or some radicles are part of nerves. Whenever it is true that if music is the vernacular of the human soul, then most porcupines possess fur, 'if either most pansies produce seeds or homelessness appears to be largely concentrated within urban areas, then a muscadine is a grape' is true. Provided that seeds have both morphological and physiological dormancy, we know that most pansies produce seeds. On the condition that hogs are swine, it is definitely the case that homelessness appears to be largely concentrated within urban areas. If the notion that 'if some radicles are part of nerves, then if either most pansies produce seeds or homelessness appears to be largely concentrated within urban areas, then a muscadine is a grape' is untrue, then approaches reflect medical judgment. The statement that states approaches reflect medical judgment is false. We know that either adipose tissue is composed predominantly of adipocytes or either seeds have both morphological and physiological dormancy or hogs are swine. The statement 'adipose tissue is composed predominantly of adipocytes' can be considered false.
|
We can assume that a muscadine is a grape.
|
We can assume that a muscadine is a grape.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (If (Either [1] or [2].), then [0].).
If [5], then (If (Either [1] or [2].), then [0].). [SC3-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If (Either [1] or [2].), then [0].).).), then [9].
Not [9].
Therefore, If [5], then (If (Either [1] or [2].), then [0].)..
[SC2-1]
Constructive Dilemma:
Either [6] or [7]. [SC1-2]
If [6], then [1].
If [7], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either [6] or [7].).
Not [8].
Therefore, Either [6] or [7]..
|
{0: 'A muscadine is a grape.', 1: 'Most pansies produce seeds.', 2: 'Homelessness appears to be largely concentrated within urban areas.', 3: 'Music is the vernacular of the human soul.', 4: 'Most porcupines possess fur.', 5: 'Some radicles are part of nerves.', 6: 'Seeds have both morphological and physiological dormancy.', 7: 'Hogs are swine.', 8: 'Adipose tissue is composed predominantly of adipocytes.', 9: 'Approaches reflect medical judgment.'}
| 5 |
4,664 |
['Assuming either physical principles drive evolution or sugar beet has two years of development from germination to seed set, we know that animals also appear as independent divine creatures.', 'We know that at least one of two things is true: electrical pressure exists in charge just as air pressure exists in air, or accountability is tied to the provision of knowledge.', "Assuming it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, we know that muscle cells are smooth with nuclei in cytons called myoblasts.", "Provided that fragmentation increases the amount of edge and many nest predators prefer edges, we know that if accountability is tied to the provision of knowledge, then the statement that 'animals also appear as independent divine creatures' is incorrect.", 'It is a simple truth that fragmentation increases the amount of edge and many nest predators prefer edges.', "Whenever it is true that the notion that 'if it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, then some people mistakenly believe that muscle cells are smooth with nuclei in cytons called myoblasts' is untrue, 'work of art is used for buying' is true.", "So long as the notion that 'if it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, then some people mistakenly believe that muscle cells are smooth with nuclei in cytons called myoblasts' is untrue, 'it is a common misconception that work of art is used for buying' is true."]
|
Assuming either physical principles drive evolution or sugar beet has two years of development from germination to seed set, we know that animals also appear as independent divine creatures. We know that at least one of two things is true: electrical pressure exists in charge just as air pressure exists in air, or accountability is tied to the provision of knowledge. Assuming it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, we know that muscle cells are smooth with nuclei in cytons called myoblasts. Provided that fragmentation increases the amount of edge and many nest predators prefer edges, we know that if accountability is tied to the provision of knowledge, then the statement that 'animals also appear as independent divine creatures' is incorrect. It is a simple truth that fragmentation increases the amount of edge and many nest predators prefer edges. Whenever it is true that the notion that 'if it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, then some people mistakenly believe that muscle cells are smooth with nuclei in cytons called myoblasts' is untrue, 'work of art is used for buying' is true. So long as the notion that 'if it is a common misconception that if electrical pressure exists in charge just as air pressure exists in air, then the statement that 'animals also appear as independent divine creatures' is incorrect, then some people mistakenly believe that muscle cells are smooth with nuclei in cytons called myoblasts' is untrue, 'it is a common misconception that work of art is used for buying' is true.
|
The statement that 'either physical principles drive evolution or sugar beet has two years of development from germination to seed set' is incorrect.
|
The statement that 'either physical principles drive evolution or sugar beet has two years of development from germination to seed set' is incorrect.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2].
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].). [SC2-2]
If [4], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [2].).).), then [6].
If (Not (If [3], then (Not [2].).).), then (Not [6].). [SC2-3]
Therefore, If [3], then (Not [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (Not [2].).).), then (Not [6].).).), then [7].
If (Not (If (Not (If [3], then (Not [2].).).), then (Not [6].).).), then (Not [7].).
Therefore, If (Not (If [3], then (Not [2].).).), then (Not [6].)..
[SC3-2]
Modus Ponens:
If [5], then (If [4], then (Not [2].).).
[5]
Therefore, If [4], then (Not [2].)..
|
{0: 'Physical principles drive evolution.', 1: 'Sugar beet has two years of development from germination to seed set.', 2: 'Animals also appear as independent divine creatures.', 3: 'Electrical pressure exists in charge just as air pressure exists in air.', 4: 'Accountability is tied to the provision of knowledge.', 5: 'Fragmentation increases the amount of edge and many nest predators prefer edges.', 6: 'Muscle cells are smooth with nuclei in cytons called myoblasts.', 7: 'Work of art is used for buying.'}
| 5 |
4,375 |
['Given that sea ice supresses the energy dynamics between ocean and atmosphere, it can be inferred that some educators specialize in working with children or adults.', 'It is rational to believe that either most roots make vigorous growth or if the statement that states otolaryngologist Specializes in diseases and treatment of the ear, nose and throat is false, then the claim that some educators specialize in working with children or adults does not correspond with reality.', 'Provided that grapes also contain a fair amount of fiber, we know that if the statement that states otolaryngologist Specializes in diseases and treatment of the ear, nose and throat is false, then sea ice supresses the energy dynamics between ocean and atmosphere.', 'It is the case that grapes also contain a fair amount of fiber.', 'Provided that most roots make vigorous growth, we know that category isa collection.', 'When most roots make vigorous growth is true, it follows that we know that the claim that category isa collection is false.']
|
Given that sea ice supresses the energy dynamics between ocean and atmosphere, it can be inferred that some educators specialize in working with children or adults. It is rational to believe that either most roots make vigorous growth or if the statement that states otolaryngologist Specializes in diseases and treatment of the ear, nose and throat is false, then the claim that some educators specialize in working with children or adults does not correspond with reality. Provided that grapes also contain a fair amount of fiber, we know that if the statement that states otolaryngologist Specializes in diseases and treatment of the ear, nose and throat is false, then sea ice supresses the energy dynamics between ocean and atmosphere. It is the case that grapes also contain a fair amount of fiber. Provided that most roots make vigorous growth, we know that category isa collection. When most roots make vigorous growth is true, it follows that we know that the claim that category isa collection is false.
|
It is true that otolaryngologist Specializes in diseases and treatment of the ear, nose and throat.
|
Otolaryngologists diagnose diseases of the ear, nose and throat.
|
Uncertain
|
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]. [SC1-2]
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not [0].), then [3].).
[4]
Therefore, If (Not [0].), then [3]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [5].
If [2], then (Not [5].).
Therefore, Not [2]..
|
{0: 'Otolaryngologist Specializes in diseases and treatment of the ear, nose and throat.', 1: 'Some educators specialize in working with children or adults.', 2: 'Most roots make vigorous growth.', 3: 'Sea ice supresses the energy dynamics between ocean and atmosphere.', 4: 'Grapes also contain a fair amount of fiber.', 5: 'Category isa collection.'}
| 5 |
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