id
int64 0
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| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
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stringclasses 3
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stringlengths 54
2.02k
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stringlengths 51
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5,651 |
['We know that at least one of two things is true: dairy cows produce milk, or man is conceived in sin and born in corruption.', "If dairy cows produce milk, then if the notion that 'adults have natural enemies' is untrue, then paramecium are large enough to be visible to the unaided eye.", "Should it be the case that man is conceived in sin and born in corruption, it follows that if the notion that 'adults have natural enemies' is untrue, then paramecium are large enough to be visible to the unaided eye.", "Should it be the case that paramecium are large enough to be visible to the unaided eye, it follows that the notion that 'pustules are superficial and elevated lesions containing pus' is untrue.", 'One may reasonably assume that if the claim that if paramecium are large enough to be visible to the unaided eye, then pustules are superficial and elevated lesions containing pus does not reflect reality, then some rainforests have dry seasons.', 'Should it be the case that the claim that if paramecium are large enough to be visible to the unaided eye, then pustules are superficial and elevated lesions containing pus does not reflect reality, it follows that either economists like to measure economic performance over a complete business cycle or commissioners are members.', 'It is a fact that either most barbary sheep reach sexual maturity or if either economists like to measure economic performance over a complete business cycle or commissioners are members, then the claim that some rainforests have dry seasons is false.', 'The claim that most barbary sheep reach sexual maturity does not reflect reality.']
|
We know that at least one of two things is true: dairy cows produce milk, or man is conceived in sin and born in corruption. If dairy cows produce milk, then if the notion that 'adults have natural enemies' is untrue, then paramecium are large enough to be visible to the unaided eye. Should it be the case that man is conceived in sin and born in corruption, it follows that if the notion that 'adults have natural enemies' is untrue, then paramecium are large enough to be visible to the unaided eye. Should it be the case that paramecium are large enough to be visible to the unaided eye, it follows that the notion that 'pustules are superficial and elevated lesions containing pus' is untrue. One may reasonably assume that if the claim that if paramecium are large enough to be visible to the unaided eye, then pustules are superficial and elevated lesions containing pus does not reflect reality, then some rainforests have dry seasons. Should it be the case that the claim that if paramecium are large enough to be visible to the unaided eye, then pustules are superficial and elevated lesions containing pus does not reflect reality, it follows that either economists like to measure economic performance over a complete business cycle or commissioners are members. It is a fact that either most barbary sheep reach sexual maturity or if either economists like to measure economic performance over a complete business cycle or commissioners are members, then the claim that some rainforests have dry seasons is false. The claim that most barbary sheep reach sexual maturity does not reflect reality.
|
The claim that adults have natural enemies is true.
|
It is not the case that adults have natural enemies.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then [1].).
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [5].
If (Not (If [1], then [2].).), then (Not [5].). [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [1], then [2].).), then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [5].). [SC2-4]
Therefore, If (Not (If [1], then [2].).), then (Not [5].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (If (Either [6] or [7].), then (Not [5].).).
Not [8].
Therefore, If (Either [6] or [7].), then (Not [5].)..
|
{0: 'Adults have natural enemies.', 1: 'Paramecium are large enough to be visible to the unaided eye.', 2: 'Pustules are superficial and elevated lesions containing pus.', 3: 'Dairy cows produce milk.', 4: 'Man is conceived in sin and born in corruption.', 5: 'Some rainforests have dry seasons.', 6: 'Economists like to measure economic performance over a complete business cycle.', 7: 'Commissioners are members.', 8: 'Most barbary sheep reach sexual maturity.'}
| 6 |
5,669 |
['We know that at least one of two things is true: older adults tend to use highly lethal means to commit suicide, or some chemicals make up plastic.', 'On the condition that the claim that if either older adults tend to use highly lethal means to commit suicide or some chemicals make up plastic, then broken glass is the most common accident to occur in science labs does not reflect reality, it is definitely the case that baseball is spheres.', "Whenever it is true that the statement 'either food has carbon or if the claim that if either older adults tend to use highly lethal means to commit suicide or some chemicals make up plastic, then broken glass is the most common accident to occur in science labs does not reflect reality, then the notion that 'baseball is spheres' is untrue' can be considered false, 'if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings' is true.", 'Provided that food has carbon, we know that glycolysis takes place a. in the cytosol.', 'It is not true that glycolysis takes place a. in the cytosol.', 'We know that at least one of two things is true: if women have few words to describe their monthly reproductive cycle, then physical aggression is another expression children use to show their anger, or leadership encompasses a learned set of knowledge, skills, and attitudes .', 'Should it be the case that if women have few words to describe their monthly reproductive cycle, then physical aggression is another expression children use to show their anger, it follows that some people mistakenly believe that if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings.', 'Provided that leadership encompasses a learned set of knowledge, skills, and attitudes , we know that some people mistakenly believe that if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings.']
|
We know that at least one of two things is true: older adults tend to use highly lethal means to commit suicide, or some chemicals make up plastic. On the condition that the claim that if either older adults tend to use highly lethal means to commit suicide or some chemicals make up plastic, then broken glass is the most common accident to occur in science labs does not reflect reality, it is definitely the case that baseball is spheres. Whenever it is true that the statement 'either food has carbon or if the claim that if either older adults tend to use highly lethal means to commit suicide or some chemicals make up plastic, then broken glass is the most common accident to occur in science labs does not reflect reality, then the notion that 'baseball is spheres' is untrue' can be considered false, 'if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings' is true. Provided that food has carbon, we know that glycolysis takes place a. in the cytosol. It is not true that glycolysis takes place a. in the cytosol. We know that at least one of two things is true: if women have few words to describe their monthly reproductive cycle, then physical aggression is another expression children use to show their anger, or leadership encompasses a learned set of knowledge, skills, and attitudes . Should it be the case that if women have few words to describe their monthly reproductive cycle, then physical aggression is another expression children use to show their anger, it follows that some people mistakenly believe that if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings. Provided that leadership encompasses a learned set of knowledge, skills, and attitudes , we know that some people mistakenly believe that if scientists offer contributions, then nothing is created in isolation, and all life evolves in relationship to all living beings.
|
It is rational to agree that broken glass is the most common accident to occur in science labs.
|
It is not the case that broken glass is the most common accident to occur in science labs.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [3].
If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].). [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].).). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].).).).), then (If [6], then [7].).
Not (If [6], then [7].). [SC2-4]
Therefore, Either [4] or (If (Not (If (Either [1] or [2].), then [0].).), then (Not [3].).)..
[SC2-4]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (Not (If [6], then [7].).).
If [10], then (Not (If [6], then [7].).).
Therefore, Not (If [6], then [7].)..
[SC2-3]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Broken glass is the most common accident to occur in science labs.', 1: 'Older adults tend to use highly lethal means to commit suicide.', 2: 'Some chemicals make up plastic.', 3: 'Baseball is spheres.', 4: 'Food has carbon.', 5: 'Glycolysis takes place a. in the cytosol.', 6: 'Scientists offer contributions.', 7: 'Nothing is created in isolation, and all life evolves in relationship to all living beings.', 8: 'Women have few words to describe their monthly reproductive cycle.', 9: 'Physical aggression is another expression children use to show their anger.', 10: 'Leadership encompasses a learned set of knowledge, skills, and attitudes .'}
| 6 |
5,504 |
["Whenever it is true that food allergies can range from merely irritating to life-threatening, 'dragonflies are everywhere' is true.", 'We know that either birds live in small areas or food reduces the rate and extent of temozolomide absorption.', 'The statement, birds live in small areas, does not hold.', 'The claim that cancer has several characteristics does not reflect reality.', 'Those that suggest anomalous tendon slips from the flexor pollicis longus to the flexor digitorum profundus are wrong.', 'At least one of two things is true: a tad is an amount, or surnames are particularly useful since they can serve as approximate genetic markers.', 'Once we know a tad is an amount, we also know that anomalous tendon slips from the flexor pollicis longus to the flexor digitorum profundus.', 'When surnames are particularly useful since they can serve as approximate genetic markers is true, it follows that either cancer has several characteristics or if food reduces the rate and extent of temozolomide absorption, then food allergies can range from merely irritating to life-threatening.']
|
Whenever it is true that food allergies can range from merely irritating to life-threatening, 'dragonflies are everywhere' is true. We know that either birds live in small areas or food reduces the rate and extent of temozolomide absorption. The statement, birds live in small areas, does not hold. The claim that cancer has several characteristics does not reflect reality. Those that suggest anomalous tendon slips from the flexor pollicis longus to the flexor digitorum profundus are wrong. At least one of two things is true: a tad is an amount, or surnames are particularly useful since they can serve as approximate genetic markers. Once we know a tad is an amount, we also know that anomalous tendon slips from the flexor pollicis longus to the flexor digitorum profundus. When surnames are particularly useful since they can serve as approximate genetic markers is true, it follows that either cancer has several characteristics or if food reduces the rate and extent of temozolomide absorption, then food allergies can range from merely irritating to life-threatening.
|
Those that suggest dragonflies are everywhere are right.
|
Those that suggest dragonflies are everywhere are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].). [SC1-3]
Not [4].
Therefore, If [1], then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (Either [4] or (If [1], then [2].).). [SC1-4]
Not [5].
Therefore, Either [4] or (If [1], then [2].)..
[SC1-4]
Constructive Dilemma:
Either [6] or [7].
If [6], then [5].
If [7], then (Either [4] or (If [1], then [2].).).
Therefore, Either [5] or (Either [4] or (If [1], then [2].).)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1].
Not [3].
Therefore, [1].
|
{0: 'Dragonflies are everywhere.', 1: 'Food reduces the rate and extent of temozolomide absorption.', 2: 'Food allergies can range from merely irritating to life-threatening.', 3: 'Birds live in small areas.', 4: 'Cancer has several characteristics.', 5: 'Anomalous tendon slips from the flexor pollicis longus to the flexor digitorum profundus.', 6: 'A tad is an amount.', 7: 'Surnames are particularly useful since they can serve as approximate genetic markers.'}
| 6 |
5,900 |
['We know that at least one of two things is true: either people learn and grow differently or vortices are lines of singularity for the velocity field of a fluid, or either some single loci contribute to color variation or most organisms survive harsh climates.', 'Should it be the case that women experience the greatest decline in bone mass, during the first five years after menopause, it follows that if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then the claim that nectarines are part of nectarines has no merit.', "One may reasonably assume that if the statement 'if either people learn and grow differently or vortices are lines of singularity for the velocity field of a fluid, then if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then nectarines are part of nectarines' can be considered false, then if giant slalom involves racing down a course for speed, then biologists employ the scientific method to study the living world.", 'The claim that if giant slalom involves racing down a course for speed, then biologists employ the scientific method to study the living world does not correspond with reality.', 'Should it be the case that mutual funds are also classified according to their size or market capitalization, it follows that if either some single loci contribute to color variation or most organisms survive harsh climates, then if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then nectarines are part of nectarines.', 'The statement that states mutual funds are also classified according to their size or market capitalization is right.', "So long as the notion that 'women experience the greatest decline in bone mass, during the first five years after menopause' is untrue, 'customers have (part) material bodies' is true.", "Given that the notion that 'women experience the greatest decline in bone mass, during the first five years after menopause' is untrue, it can be inferred that the claim that customers have (part) material bodies does not correspond with reality."]
|
We know that at least one of two things is true: either people learn and grow differently or vortices are lines of singularity for the velocity field of a fluid, or either some single loci contribute to color variation or most organisms survive harsh climates. Should it be the case that women experience the greatest decline in bone mass, during the first five years after menopause, it follows that if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then the claim that nectarines are part of nectarines has no merit. One may reasonably assume that if the statement 'if either people learn and grow differently or vortices are lines of singularity for the velocity field of a fluid, then if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then nectarines are part of nectarines' can be considered false, then if giant slalom involves racing down a course for speed, then biologists employ the scientific method to study the living world. The claim that if giant slalom involves racing down a course for speed, then biologists employ the scientific method to study the living world does not correspond with reality. Should it be the case that mutual funds are also classified according to their size or market capitalization, it follows that if either some single loci contribute to color variation or most organisms survive harsh climates, then if it is not true that oleander is a a beautiful plant, but poisonous if ingested, then nectarines are part of nectarines. The statement that states mutual funds are also classified according to their size or market capitalization is right. So long as the notion that 'women experience the greatest decline in bone mass, during the first five years after menopause' is untrue, 'customers have (part) material bodies' is true. Given that the notion that 'women experience the greatest decline in bone mass, during the first five years after menopause' is untrue, it can be inferred that the claim that customers have (part) material bodies does not correspond with reality.
|
It is a simple truth that oleander is a a beautiful plant, but poisonous if ingested.
|
The claim that oleander is a a beautiful plant, but poisonous if ingested has no merit.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or (Either [5] or [6].).
If (Either [3] or [4].), then (If (Not [0].), then [1].). [SC2-2]
If (Either [5] or [6].), then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (If (Not [0].), then [1].).).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If (Either [3] or [4].), then (If (Not [0].), then [1].)..
[SC3-2]
Modus Ponens:
If [10], then (If (Either [5] or [6].), then (If (Not [0].), then [1].).).
[10]
Therefore, If (Either [5] or [6].), then (If (Not [0].), then [1].)..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).).
[2] [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [9].
If (Not [2].), then (Not [9].).
Therefore, [2].
|
{0: 'Oleander is a a beautiful plant, but poisonous if ingested.', 1: 'Nectarines are part of nectarines.', 2: 'Women experience the greatest decline in bone mass, during the first five years after menopause.', 3: 'People learn and grow differently.', 4: 'Vortices are lines of singularity for the velocity field of a fluid.', 5: 'Some single loci contribute to color variation.', 6: 'Most organisms survive harsh climates.', 7: 'Giant slalom involves racing down a course for speed.', 8: 'Biologists employ the scientific method to study the living world.', 9: 'Customers have (part) material bodies.', 10: 'Mutual funds are also classified according to their size or market capitalization.'}
| 6 |
5,649 |
['We know that at least one of two things is true: baptism has significance in time and gives meaning to the end of time, or either females give birth to live young, which they carry around on their backs or love is an eternal bond Between a soul, with another.', 'Should it be the case that either females give birth to live young, which they carry around on their backs or love is an eternal bond Between a soul, with another, it follows that fluorescent lamps can be more efficient using a high-frequency power supply.', "When either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second is true, it follows that the statement that 'a gastroenterology is medicine' is incorrect.", 'Provided that those that suggest if baptism has significance in time and gives meaning to the end of time, then a gastroenterology is medicine are wrong, we know that acute pain can occur in response to infection, inflammation or trauma.', "The statement that 'acute pain can occur in response to infection, inflammation or trauma' is incorrect.", 'Either displacement has causes or older people like to feel young.', "So long as displacement has causes, 'either consequences are phenomenons or either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second' is true.", 'On the condition that older people like to feel young, it is definitely the case that either consequences are phenomenons or either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second.', 'It is rational to believe that either ice shelves can slow the process of disintegration of the marine-based ice sheet or either television violence takes many forms or shrews usually inhabit moist areas.', "When ice shelves can slow the process of disintegration of the marine-based ice sheet is true, it follows that if consequences are phenomenons, then the statement that 'a gastroenterology is medicine' is incorrect.", "Once we know either television violence takes many forms or shrews usually inhabit moist areas, we also know that if consequences are phenomenons, then the statement that 'a gastroenterology is medicine' is incorrect."]
|
We know that at least one of two things is true: baptism has significance in time and gives meaning to the end of time, or either females give birth to live young, which they carry around on their backs or love is an eternal bond Between a soul, with another. Should it be the case that either females give birth to live young, which they carry around on their backs or love is an eternal bond Between a soul, with another, it follows that fluorescent lamps can be more efficient using a high-frequency power supply. When either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second is true, it follows that the statement that 'a gastroenterology is medicine' is incorrect. Provided that those that suggest if baptism has significance in time and gives meaning to the end of time, then a gastroenterology is medicine are wrong, we know that acute pain can occur in response to infection, inflammation or trauma. The statement that 'acute pain can occur in response to infection, inflammation or trauma' is incorrect. Either displacement has causes or older people like to feel young. So long as displacement has causes, 'either consequences are phenomenons or either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second' is true. On the condition that older people like to feel young, it is definitely the case that either consequences are phenomenons or either humidity increases while temperature decreases with altitude or syntacticians describe the rules for converting the first sentence into the second. It is rational to believe that either ice shelves can slow the process of disintegration of the marine-based ice sheet or either television violence takes many forms or shrews usually inhabit moist areas. When ice shelves can slow the process of disintegration of the marine-based ice sheet is true, it follows that if consequences are phenomenons, then the statement that 'a gastroenterology is medicine' is incorrect. Once we know either television violence takes many forms or shrews usually inhabit moist areas, we also know that if consequences are phenomenons, then the statement that 'a gastroenterology is medicine' is incorrect.
|
The idea that fluorescent lamps can be more efficient using a high-frequency power supply is true.
|
It is not true that fluorescent lamps can be more efficient using a high-frequency power supply.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or (Either [3] or [4].).
If [2], then [1]. [SC2-2]
If (Either [3] or [4].), then [0].
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [11].
Not [11].
Therefore, If [2], then [1]..
[SC2-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].). [SC1-2]
If [5], then (Not [1].). [SC2-2]
If (Either [6] or [7].), then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [12] or [13].
If [12], then (Either [5] or (Either [6] or [7].).).
If [13], then (Either [5] or (Either [6] or [7].).).
Therefore, Either [5] or (Either [6] or [7].)..
[SC2-2]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (If [5], then (Not [1].).).
If (Either [9] or [10].), then (If [5], then (Not [1].).).
Therefore, If [5], then (Not [1].)..
|
{0: 'Fluorescent lamps can be more efficient using a high-frequency power supply.', 1: 'A gastroenterology is medicine.', 2: 'Baptism has significance in time and gives meaning to the end of time.', 3: 'Females give birth to live young, which they carry around on their backs.', 4: 'Love is an eternal bond Between a soul, with another.', 5: 'Consequences are phenomenons.', 6: 'Humidity increases while temperature decreases with altitude.', 7: 'Syntacticians describe the rules for converting the first sentence into the second.', 8: 'Ice shelves can slow the process of disintegration of the marine-based ice sheet.', 9: 'Television violence takes many forms.', 10: 'Shrews usually inhabit moist areas.', 11: 'Acute pain can occur in response to infection, inflammation or trauma.', 12: 'Displacement has causes.', 13: 'Older people like to feel young.'}
| 6 |
5,931 |
['It is not the case that eagles love to eat salmon.', "Once we know emotions are emotions, we also know that if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon.", 'Once we know those that suggest either if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs or emotions are emotions are wrong, we also know that most metric rulers have lines indicating centimeters and millimeters.', "Whenever it is true that the statement, if if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs, then if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon, does not hold, 'rainforest has many different kinds of animals as well as plants' is true.", "Should it be the case that the statement, if if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs, then if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon, does not hold, it follows that the statement 'rainforest has many different kinds of animals as well as plants' can be considered false.", "Provided that either performers are located in theaters or chess sets are used for playing games, we know that if those that suggest either if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs or emotions are emotions are wrong, then the statement that 'most metric rulers have lines indicating centimeters and millimeters' is incorrect.", 'There is good reason to believe that either work plays a central role in all of our lives or either every being has an infinite ability to survive or timber rattlesnakes are the most common of the two types of rattlesnakes found in Pennsylvania.', "Whenever it is true that work plays a central role in all of our lives, 'performers are located in theaters' is true.", "Whenever it is true that either every being has an infinite ability to survive or timber rattlesnakes are the most common of the two types of rattlesnakes found in Pennsylvania, 'chess sets are used for playing games' is true."]
|
It is not the case that eagles love to eat salmon. Once we know emotions are emotions, we also know that if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon. Once we know those that suggest either if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs or emotions are emotions are wrong, we also know that most metric rulers have lines indicating centimeters and millimeters. Whenever it is true that the statement, if if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs, then if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon, does not hold, 'rainforest has many different kinds of animals as well as plants' is true. Should it be the case that the statement, if if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs, then if the statement 'if carbide is an inorganic compound, then thallium is odorless, tasteless, and poisonous' can be considered false, then eagles love to eat salmon, does not hold, it follows that the statement 'rainforest has many different kinds of animals as well as plants' can be considered false. Provided that either performers are located in theaters or chess sets are used for playing games, we know that if those that suggest either if glacial deposits are by far the most abundant surficial materials in Maine, then most amphibians use lungs or emotions are emotions are wrong, then the statement that 'most metric rulers have lines indicating centimeters and millimeters' is incorrect. There is good reason to believe that either work plays a central role in all of our lives or either every being has an infinite ability to survive or timber rattlesnakes are the most common of the two types of rattlesnakes found in Pennsylvania. Whenever it is true that work plays a central role in all of our lives, 'performers are located in theaters' is true. Whenever it is true that either every being has an infinite ability to survive or timber rattlesnakes are the most common of the two types of rattlesnakes found in Pennsylvania, 'chess sets are used for playing games' is true.
|
Whenever it is true that carbide is an inorganic compound, 'thallium is odorless, tasteless, and poisonous' is true.
|
So long as carbide is made to be very resistant to wear and corrosion, 'thallium is odorless, tasteless, and poisonous' is true.
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-2]
If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].). [SC2-2]
If [5], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (If [3], then [4].) or [5].).), then [7].
If (Not (Either (If [3], then [4].) or [5].).), then (Not [7].). [SC2-3]
Therefore, Either (If [3], then [4].) or [5]..
[SC2-3]
Modus Ponens:
If (Either [8] or [9].), then (If (Not (Either (If [3], then [4].) or [5].).), then (Not [7].).).
Either [8] or [9]. [SC2-4]
Therefore, If (Not (Either (If [3], then [4].) or [5].).), then (Not [7].)..
[SC2-4]
Constructive Dilemma:
Either [10] or (Either [11] or [12].).
If [10], then [8].
If (Either [11] or [12].), then [9].
Therefore, Either [8] or [9]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].).).), then [6].
If (Not (If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].).).), then (Not [6].).
Therefore, If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].)..
|
{0: 'Carbide is an inorganic compound.', 1: 'Thallium is odorless, tasteless, and poisonous.', 2: 'Eagles love to eat salmon.', 3: 'Glacial deposits are by far the most abundant surficial materials in Maine.', 4: 'Most amphibians use lungs.', 5: 'Emotions are emotions.', 6: 'Rainforest has many different kinds of animals as well as plants.', 7: 'Most metric rulers have lines indicating centimeters and millimeters.', 8: 'Performers are located in theaters.', 9: 'Chess sets are used for playing games.', 10: 'Work plays a central role in all of our lives.', 11: 'Every being has an infinite ability to survive.', 12: 'Timber rattlesnakes are the most common of the two types of rattlesnakes found in Pennsylvania.'}
| 6 |
5,300 |
['Once we know it is not true that most pygmies have yellow eyes, we also know that the statement, battery life is extended by decreasing the degree to which the batteries are discharged, does not hold.', 'Many people rightly believe that lung cancer is just one of numerous diseases that smoking can cause.', 'Provided that color is a sensation, existing only in our minds, we know that if lung cancer is just one of numerous diseases that smoking can cause, then if it is not true that most pygmies have yellow eyes, then battery life is extended by decreasing the degree to which the batteries are discharged.', "Once we know some scientists learn about chimpanzees, we also know that if the statement that states color is a sensation, existing only in our minds is false, then poverty negatively affects family functioning and children's school results.", 'Those that suggest some scientists learn about chimpanzees are right.', "Whenever it is true that the statement that states color is a sensation, existing only in our minds is false, 'either adverbs modify adjectives, adverbs, entire sentences or technology is formed and altered by a host of factors' is true.", "If either adverbs modify adjectives, adverbs, entire sentences or technology is formed and altered by a host of factors, then the claim that poverty negatively affects family functioning and children's school results has no merit."]
|
Once we know it is not true that most pygmies have yellow eyes, we also know that the statement, battery life is extended by decreasing the degree to which the batteries are discharged, does not hold. Many people rightly believe that lung cancer is just one of numerous diseases that smoking can cause. Provided that color is a sensation, existing only in our minds, we know that if lung cancer is just one of numerous diseases that smoking can cause, then if it is not true that most pygmies have yellow eyes, then battery life is extended by decreasing the degree to which the batteries are discharged. Once we know some scientists learn about chimpanzees, we also know that if the statement that states color is a sensation, existing only in our minds is false, then poverty negatively affects family functioning and children's school results. Those that suggest some scientists learn about chimpanzees are right. Whenever it is true that the statement that states color is a sensation, existing only in our minds is false, 'either adverbs modify adjectives, adverbs, entire sentences or technology is formed and altered by a host of factors' is true. If either adverbs modify adjectives, adverbs, entire sentences or technology is formed and altered by a host of factors, then the claim that poverty negatively affects family functioning and children's school results has no merit.
|
The idea that most pygmies have yellow eyes is true.
|
Pygmies have (part) legs.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (If (Not [0].), then [1].).).
[3] [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [3].), then [4]. [SC1-4]
If (Not [3].), then (Not [4].). [SC2-4]
Therefore, [3].
[SC1-4]
Modus Ponens:
If [5], then (If (Not [3].), then [4].).
[5]
Therefore, If (Not [3].), then [4]..
[SC2-4]
Hypothetical Syllogism:
If (Not [3].), then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [4].).
Therefore, If (Not [3].), then (Not [4].)..
|
{0: 'Most pygmies have yellow eyes.', 1: 'Battery life is extended by decreasing the degree to which the batteries are discharged.', 2: 'Lung cancer is just one of numerous diseases that smoking can cause.', 3: 'Color is a sensation, existing only in our minds.', 4: "Poverty negatively affects family functioning and children's school results.", 5: 'Some scientists learn about chimpanzees.', 6: 'Adverbs modify adjectives, adverbs, entire sentences.', 7: 'Technology is formed and altered by a host of factors.'}
| 6 |
5,674 |
['The claim that if wolves have hair and dogs have hair, then a car manufacturer is a manufacturer has no merit.', "Whenever it is true that colloidal silver is said to act as a catalyst, 'either community is, by definition, a relationship between individuals or either if wolves have hair and dogs have hair, then a car manufacturer is a manufacturer or if omniscience is a state, then capitalist companies are institutions which exist in order to maximise their profits' is true.", 'The claim that colloidal silver is said to act as a catalyst is true.', 'Either if a naked eye is an eye, then sexual relations is a form of therapy for married couples or some landfills collect green waste that is composted on site for resale.', 'Provided that some landfills collect green waste that is composted on site for resale, we know that those that suggest community is, by definition, a relationship between individuals are wrong.', 'Once we know channel capacity is a data rate, we also know that if if a naked eye is an eye, then sexual relations is a form of therapy for married couples, then those that suggest community is, by definition, a relationship between individuals are wrong.', 'We know that either either land mines are a serious problem in nations plagued by guerrilla warfare and terrorism or basils combine nicely with other herbs and annuals or adults exhibit survival.', 'Provided that either land mines are a serious problem in nations plagued by guerrilla warfare and terrorism or basils combine nicely with other herbs and annuals, we know that channel capacity is a data rate.', "So long as adults exhibit survival, 'channel capacity is a data rate' is true."]
|
The claim that if wolves have hair and dogs have hair, then a car manufacturer is a manufacturer has no merit. Whenever it is true that colloidal silver is said to act as a catalyst, 'either community is, by definition, a relationship between individuals or either if wolves have hair and dogs have hair, then a car manufacturer is a manufacturer or if omniscience is a state, then capitalist companies are institutions which exist in order to maximise their profits' is true. The claim that colloidal silver is said to act as a catalyst is true. Either if a naked eye is an eye, then sexual relations is a form of therapy for married couples or some landfills collect green waste that is composted on site for resale. Provided that some landfills collect green waste that is composted on site for resale, we know that those that suggest community is, by definition, a relationship between individuals are wrong. Once we know channel capacity is a data rate, we also know that if if a naked eye is an eye, then sexual relations is a form of therapy for married couples, then those that suggest community is, by definition, a relationship between individuals are wrong. We know that either either land mines are a serious problem in nations plagued by guerrilla warfare and terrorism or basils combine nicely with other herbs and annuals or adults exhibit survival. Provided that either land mines are a serious problem in nations plagued by guerrilla warfare and terrorism or basils combine nicely with other herbs and annuals, we know that channel capacity is a data rate. So long as adults exhibit survival, 'channel capacity is a data rate' is true.
|
Provided that omniscience is a state, we know that capitalist companies are institutions which exist in order to maximise their profits
|
We know that the claim that if omniscience is a state, then capitalist companies are institutions which exist in order to maximise their profits is false.
|
FALSE
|
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [0], then [1].). [SC1-1]
Not (If [2], then [3].).
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either (If [2], then [3].) or (If [0], then [1].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either (If [2], then [3].) or (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [4] or (Either (If [2], then [3].) or (If [0], then [1].).).).
[5]
Therefore, Either [4] or (Either (If [2], then [3].) or (If [0], then [1].).)..
[SC2-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (Not [4].). [SC2-3]
If [8], then (Not [4].).
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If [9], then (If (If [6], then [7].), then (Not [4].).).
[9] [SC2-4]
Therefore, If (If [6], then [7].), then (Not [4].)..
[SC2-4]
Disjunction Elimination:
Either (Either [10] or [11].) or [12].
If (Either [10] or [11].), then [9].
If [12], then [9].
Therefore, [9].
|
{0: 'Omniscience is a state.', 1: 'Capitalist companies are institutions which exist in order to maximise their profits.', 2: 'Wolves have hair and dogs have hair.', 3: 'A car manufacturer is a manufacturer.', 4: 'Community is, by definition, a relationship between individuals.', 5: 'Colloidal silver is said to act as a catalyst.', 6: 'A naked eye is an eye.', 7: 'Sexual relations is a form of therapy for married couples.', 8: 'Some landfills collect green waste that is composted on site for resale.', 9: 'Channel capacity is a data rate.', 10: 'Land mines are a serious problem in nations plagued by guerrilla warfare and terrorism.', 11: 'Basils combine nicely with other herbs and annuals.', 12: 'Adults exhibit survival.'}
| 6 |
5,665 |
['Either either monotremes are mammals or horses have high energy requirements or it is not true that prey includes earthworms.', "Once we know percentage refers to cumulative percentage, we also know that the statement that 'either monotremes are mammals or horses have high energy requirements' is incorrect.", 'Provided that some people mistakenly believe that if palms come in a wide variety of shape and size, then percentage refers to cumulative percentage, we know that either energy Provides for a more sustainable city and the conservation of energy or alcohol use is a risk factor for a first generalized tonic-clonic seizure.', "Whenever it is true that some people mistakenly believe that if palms come in a wide variety of shape and size, then percentage refers to cumulative percentage, 'the notion that 'either energy Provides for a more sustainable city and the conservation of energy or alcohol use is a risk factor for a first generalized tonic-clonic seizure' is untrue' is true.", 'One may reasonably assume that if the claim that palms come in a wide variety of shape and size has no merit, then either children get food or lead poisoning affects almost all organ systems in the body.', 'When capillaries go between arteries and veins is true, it follows that the claim that either children get food or lead poisoning affects almost all organ systems in the body has no merit.', "The statement 'capillaries go between arteries and veins ' can be considered true."]
|
Either either monotremes are mammals or horses have high energy requirements or it is not true that prey includes earthworms. Once we know percentage refers to cumulative percentage, we also know that the statement that 'either monotremes are mammals or horses have high energy requirements' is incorrect. Provided that some people mistakenly believe that if palms come in a wide variety of shape and size, then percentage refers to cumulative percentage, we know that either energy Provides for a more sustainable city and the conservation of energy or alcohol use is a risk factor for a first generalized tonic-clonic seizure. Whenever it is true that some people mistakenly believe that if palms come in a wide variety of shape and size, then percentage refers to cumulative percentage, 'the notion that 'either energy Provides for a more sustainable city and the conservation of energy or alcohol use is a risk factor for a first generalized tonic-clonic seizure' is untrue' is true. One may reasonably assume that if the claim that palms come in a wide variety of shape and size has no merit, then either children get food or lead poisoning affects almost all organ systems in the body. When capillaries go between arteries and veins is true, it follows that the claim that either children get food or lead poisoning affects almost all organ systems in the body has no merit. The statement 'capillaries go between arteries and veins ' can be considered true.
|
It is not true that prey includes earthworms.
|
It is true that prey includes earthworms.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or (Not [0].).
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [3], then (Not (Either [1] or [2].).).
[3] [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Modus Ponens:
If [4], then [3]. [SC1-3]
[4] [SC2-3]
Therefore, [3].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [4], then [3].).), then (Either [7] or [8].).
If (Not (If [4], then [3].).), then (Not (Either [7] or [8].).).
Therefore, If [4], then [3]..
[SC2-3]
Modus Tonens:
If (Not [4].), then (Either [5] or [6].).
Not (Either [5] or [6].). [SC2-4]
Therefore, [4].
[SC2-4]
Modus Ponens:
If [9], then (Not (Either [5] or [6].).).
[9]
Therefore, Not (Either [5] or [6].)..
|
{0: 'Prey includes earthworms.', 1: 'Monotremes are mammals.', 2: 'Horses have high energy requirements.', 3: 'Percentage refers to cumulative percentage.', 4: 'Palms come in a wide variety of shape and size.', 5: 'Children get food.', 6: 'Lead poisoning affects almost all organ systems in the body.', 7: 'Energy Provides for a more sustainable city and the conservation of energy.', 8: 'Alcohol use is a risk factor for a first generalized tonic-clonic seizure.', 9: 'Capillaries go between arteries and veins .'}
| 6 |
5,570 |
["Provided that alcoholism is an illness, just like asthma or diabetes , we know that the statement that 'organic eggs are also another part of organic farming' is incorrect.", 'Should it be the case that some people mistakenly believe that if equals are sweetener, then if alcoholism is an illness, just like asthma or diabetes , then organic eggs are also another part of organic farming, it follows that pyloric glands produce a mucous secretion.', "The statement 'pyloric glands produce a mucous secretion' can be considered false.", 'We know that either beavers consume foliage or most fresh foods are low in sodium.', 'On the condition that beavers consume foliage, it is definitely the case that either some calculators have boxes or equals are sweetener.', 'When most fresh foods are low in sodium is true, it follows that either some calculators have boxes or equals are sweetener.', 'Should it be the case that most muscles pump blood, it follows that we know that the claim that some calculators have boxes is false.', "The statement 'most muscles pump blood' can be considered true."]
|
Provided that alcoholism is an illness, just like asthma or diabetes , we know that the statement that 'organic eggs are also another part of organic farming' is incorrect. Should it be the case that some people mistakenly believe that if equals are sweetener, then if alcoholism is an illness, just like asthma or diabetes , then organic eggs are also another part of organic farming, it follows that pyloric glands produce a mucous secretion. The statement 'pyloric glands produce a mucous secretion' can be considered false. We know that either beavers consume foliage or most fresh foods are low in sodium. On the condition that beavers consume foliage, it is definitely the case that either some calculators have boxes or equals are sweetener. When most fresh foods are low in sodium is true, it follows that either some calculators have boxes or equals are sweetener. Should it be the case that most muscles pump blood, it follows that we know that the claim that some calculators have boxes is false. The statement 'most muscles pump blood' can be considered true.
|
It is a common misconception that alcoholism is an illness, just like asthma or diabetes .
|
The claim that alcoholism is an illness, just like asthma or diabetes is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [4].
Not [4].
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or [2]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [2].).
If [7], then (Either [3] or [2].).
Therefore, Either [3] or [2]..
[SC2-3]
Modus Ponens:
If [5], then (Not [3].).
[5]
Therefore, Not [3]..
|
{0: 'Alcoholism is an illness, just like asthma or diabetes .', 1: 'Organic eggs are also another part of organic farming.', 2: 'Equals are sweetener.', 3: 'Some calculators have boxes.', 4: 'Pyloric glands produce a mucous secretion.', 5: 'Most muscles pump blood.', 6: 'Beavers consume foliage.', 7: 'Most fresh foods are low in sodium.'}
| 6 |
5,163 |
["Whenever it is true that the claim that either if unions exist because groups have more power and strength than individuals, then some common gastropods are slugs and snails or either crystallographers are the people who study crystals or plants grow on forest floors does not correspond with reality, 'ringworm is an infection caused by tiny organisms called fungi, which feed on the keratin' is true.", 'The statement that states ringworm is an infection caused by tiny organisms called fungi, which feed on the keratin is false.', 'On the condition that if unions exist because groups have more power and strength than individuals, then some common gastropods are slugs and snails, it is definitely the case that intestines digest food.', 'Given that either crystallographers are the people who study crystals or plants grow on forest floors, it can be inferred that either nitrifying bacteria reproduce by binary division or moisture enables the roots to absorb soil substances in liquid solution.', 'On the condition that either nitrifying bacteria reproduce by binary division or moisture enables the roots to absorb soil substances in liquid solution, it is definitely the case that the claim that nuts are very sensitive to ammonia damage which causes blackening of external tissues does not reflect reality.', 'Assuming some adenomas stay harmless, we know that if intestines digest food, then the claim that nuts are very sensitive to ammonia damage which causes blackening of external tissues does not reflect reality.', 'Once we know uniforms are attire, we also know that some adenomas stay harmless.', 'The idea that uniforms are attire is true.']
|
Whenever it is true that the claim that either if unions exist because groups have more power and strength than individuals, then some common gastropods are slugs and snails or either crystallographers are the people who study crystals or plants grow on forest floors does not correspond with reality, 'ringworm is an infection caused by tiny organisms called fungi, which feed on the keratin' is true. The statement that states ringworm is an infection caused by tiny organisms called fungi, which feed on the keratin is false. On the condition that if unions exist because groups have more power and strength than individuals, then some common gastropods are slugs and snails, it is definitely the case that intestines digest food. Given that either crystallographers are the people who study crystals or plants grow on forest floors, it can be inferred that either nitrifying bacteria reproduce by binary division or moisture enables the roots to absorb soil substances in liquid solution. On the condition that either nitrifying bacteria reproduce by binary division or moisture enables the roots to absorb soil substances in liquid solution, it is definitely the case that the claim that nuts are very sensitive to ammonia damage which causes blackening of external tissues does not reflect reality. Assuming some adenomas stay harmless, we know that if intestines digest food, then the claim that nuts are very sensitive to ammonia damage which causes blackening of external tissues does not reflect reality. Once we know uniforms are attire, we also know that some adenomas stay harmless. The idea that uniforms are attire is true.
|
The claim that nuts are very sensitive to ammonia damage which causes blackening of external tissues does not reflect reality.
|
Those that suggest nuts are very sensitive to ammonia damage which causes blackening of external tissues are right.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or (Either [3] or [4].). [SC1-1]
If (If [1], then [2].), then (Not [0].). [SC2-1]
If (Either [3] or [4].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either (If [1], then [2].) or (Either [3] or [4].).).), then [5].
Not [5].
Therefore, Either (If [1], then [2].) or (Either [3] or [4].)..
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then [8].
If [8], then (Not [0].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC2-2]
Modus Ponens:
If [9], then (If [8], then (Not [0].).).
[9] [SC2-3]
Therefore, If [8], then (Not [0].)..
[SC2-3]
Modus Ponens:
If [10], then [9].
[10]
Therefore, [9].
[SC3-1]
Hypothetical Syllogism:
If (Either [3] or [4].), then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [0].).
Therefore, If (Either [3] or [4].), then (Not [0].)..
|
{0: 'Nuts are very sensitive to ammonia damage which causes blackening of external tissues.', 1: 'Unions exist because groups have more power and strength than individuals.', 2: 'Some common gastropods are slugs and snails.', 3: 'Crystallographers are the people who study crystals.', 4: 'Plants grow on forest floors.', 5: 'Ringworm is an infection caused by tiny organisms called fungi, which feed on the keratin.', 6: 'Nitrifying bacteria reproduce by binary division.', 7: 'Moisture enables the roots to absorb soil substances in liquid solution.', 8: 'Intestines digest food.', 9: 'Some adenomas stay harmless.', 10: 'Uniforms are attire.'}
| 6 |
5,336 |
['The claim that sirens are found only in the southeastern United States and northern Mexico is true.', 'Some people mistakenly believe that selfishness dictates what is offered and how it is offered.', 'There is good reason to believe that either internal medicine is medicine or if fish share sea, then either day care is the primary source of exposure to respiratory infections or a medium frequency is a radio frequency.', 'Those that suggest internal medicine is medicine are wrong.', 'Either amphetamine use drops steadily over the years and is slightly more prevalent in rural areas or if sirens are found only in the southeastern United States and northern Mexico , then either grasshoppers are devastating forage and tree crops or fish share sea.', 'It is a common misconception that amphetamine use drops steadily over the years and is slightly more prevalent in rural areas.', 'Given that it is not true that if grasshoppers are devastating forage and tree crops, then either day care is the primary source of exposure to respiratory infections or a medium frequency is a radio frequency, it can be inferred that if darkness perfects goodness, which is light, then cherries are at pit hardening.', 'Assuming if darkness perfects goodness, which is light, then cherries are at pit hardening, we know that selfishness dictates what is offered and how it is offered.']
|
The claim that sirens are found only in the southeastern United States and northern Mexico is true. Some people mistakenly believe that selfishness dictates what is offered and how it is offered. There is good reason to believe that either internal medicine is medicine or if fish share sea, then either day care is the primary source of exposure to respiratory infections or a medium frequency is a radio frequency. Those that suggest internal medicine is medicine are wrong. Either amphetamine use drops steadily over the years and is slightly more prevalent in rural areas or if sirens are found only in the southeastern United States and northern Mexico , then either grasshoppers are devastating forage and tree crops or fish share sea. It is a common misconception that amphetamine use drops steadily over the years and is slightly more prevalent in rural areas. Given that it is not true that if grasshoppers are devastating forage and tree crops, then either day care is the primary source of exposure to respiratory infections or a medium frequency is a radio frequency, it can be inferred that if darkness perfects goodness, which is light, then cherries are at pit hardening. Assuming if darkness perfects goodness, which is light, then cherries are at pit hardening, we know that selfishness dictates what is offered and how it is offered.
|
At least one of two things is true: day care is the primary source of exposure to respiratory infections, or a medium frequency is a radio frequency.
|
It is not the case that either day care is the primary source of exposure to respiratory infections or a medium frequency is a radio frequency.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [5], then (Either [2] or [3].). [SC1-2]
[5]
Therefore, Either [2] or [3]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If [5], then (Either [2] or [3].).).
Not [7].
Therefore, If [5], then (Either [2] or [3].)..
[SC2-1]
Modus Tonens:
If (Not (If [2], then (Either [0] or [1].).).), then [4]. [SC1-2]
Not [4].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [2], then (Either [0] or [1].).).), then (If [8], then [9].).
If (If [8], then [9].), then [4].
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [4]..
[SC3-1]
Disjunctive Syllogism:
Either [6] or (If [3], then (Either [0] or [1].).).
Not [6].
Therefore, If [3], then (Either [0] or [1].)..
|
{0: 'Day care is the primary source of exposure to respiratory infections.', 1: 'A medium frequency is a radio frequency.', 2: 'Grasshoppers are devastating forage and tree crops.', 3: 'Fish share sea.', 4: 'Selfishness dictates what is offered and how it is offered.', 5: 'Sirens are found only in the southeastern United States and northern Mexico .', 6: 'Internal medicine is medicine.', 7: 'Amphetamine use drops steadily over the years and is slightly more prevalent in rural areas.', 8: 'Darkness perfects goodness, which is light.', 9: 'Cherries are at pit hardening.'}
| 6 |
5,059 |
["The notion that 'atoms are part of molecules' is untrue.", 'At least one of two things is true: biologists provide evidence, or it is not the case that assistant directors help with tasks.', 'We know that either lung ca ncer is the leading cause of cancer death in the United States or a hellhound is a mythical creature.', 'When lung ca ncer is the leading cause of cancer death in the United States is true, it follows that either atoms are part of molecules or if the claim that most organs are affected by respiratory diseases has no merit, then assistant directors help with tasks.', 'Should it be the case that a hellhound is a mythical creature, it follows that either atoms are part of molecules or if the claim that most organs are affected by respiratory diseases has no merit, then assistant directors help with tasks.', 'Should it be the case that biologists provide evidence, it follows that subgaleal hemorrhage is a serious neonatal complication of vacuum extraction.', 'We know that at least one of two things is true: crocodiles have snouts, or if biologists provide evidence, then it is not true that subgaleal hemorrhage is a serious neonatal complication of vacuum extraction.', 'The statement, crocodiles have snouts, does not hold.']
|
The notion that 'atoms are part of molecules' is untrue. At least one of two things is true: biologists provide evidence, or it is not the case that assistant directors help with tasks. We know that either lung ca ncer is the leading cause of cancer death in the United States or a hellhound is a mythical creature. When lung ca ncer is the leading cause of cancer death in the United States is true, it follows that either atoms are part of molecules or if the claim that most organs are affected by respiratory diseases has no merit, then assistant directors help with tasks. Should it be the case that a hellhound is a mythical creature, it follows that either atoms are part of molecules or if the claim that most organs are affected by respiratory diseases has no merit, then assistant directors help with tasks. Should it be the case that biologists provide evidence, it follows that subgaleal hemorrhage is a serious neonatal complication of vacuum extraction. We know that at least one of two things is true: crocodiles have snouts, or if biologists provide evidence, then it is not true that subgaleal hemorrhage is a serious neonatal complication of vacuum extraction. The statement, crocodiles have snouts, does not hold.
|
The statement 'most organs are affected by respiratory diseases' can be considered true.
|
Some organs surround organs.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
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].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].).
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].). [SC2-3]
Therefore, Not [3]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [3], then (Not [4].).).
Not [7].
Therefore, If [3], then (Not [4].)..
|
{0: 'Most organs are affected by respiratory diseases.', 1: 'Assistant directors help with tasks.', 2: 'Atoms are part of molecules.', 3: 'Biologists provide evidence.', 4: 'Subgaleal hemorrhage is a serious neonatal complication of vacuum extraction.', 5: 'Lung ca ncer is the leading cause of cancer death in the United States.', 6: 'A hellhound is a mythical creature.', 7: 'Crocodiles have snouts.'}
| 6 |
5,821 |
["The statement 'eateries are located in malls' can be considered false.", 'Assuming if thai law requires car drivers and front passengers to wear seat belts, then musical performances take different forms in different cultures and socioeconomic milieus, we know that if endometriosis can also cause infertility, then if schizophrenia is a degenerative illness, then seals are carnivores and eat a lot of food for energy to keep warm and to build blubber.', 'One may reasonably assume that if thai law requires car drivers and front passengers to wear seat belts, then musical performances take different forms in different cultures and socioeconomic milieus.', "So long as if boiling water is vaporization of water, then alcohol use is more harmful than heroin use, 'endometriosis can also cause infertility' is true.", 'On the condition that boiling water is vaporization of water, it is definitely the case that alcohol use is more harmful than heroin use.', 'We know that at least one of two things is true: either several antioxidants have difficulty getting into the tissues around the brain or instance is an noun that means a case or example of something, or antibiotics are among the most powerful and important medicines known.', "Whenever it is true that either several antioxidants have difficulty getting into the tissues around the brain or instance is an noun that means a case or example of something, 'if some people mistakenly believe that if schizophrenia is a degenerative illness, then it is not true that seals are carnivores and eat a lot of food for energy to keep warm and to build blubber, then eateries are located in malls' is true.", 'One may reasonably assume that if antibiotics are among the most powerful and important medicines known, then if some people mistakenly believe that if schizophrenia is a degenerative illness, then it is not true that seals are carnivores and eat a lot of food for energy to keep warm and to build blubber, then eateries are located in malls.']
|
The statement 'eateries are located in malls' can be considered false. Assuming if thai law requires car drivers and front passengers to wear seat belts, then musical performances take different forms in different cultures and socioeconomic milieus, we know that if endometriosis can also cause infertility, then if schizophrenia is a degenerative illness, then seals are carnivores and eat a lot of food for energy to keep warm and to build blubber. One may reasonably assume that if thai law requires car drivers and front passengers to wear seat belts, then musical performances take different forms in different cultures and socioeconomic milieus. So long as if boiling water is vaporization of water, then alcohol use is more harmful than heroin use, 'endometriosis can also cause infertility' is true. On the condition that boiling water is vaporization of water, it is definitely the case that alcohol use is more harmful than heroin use. We know that at least one of two things is true: either several antioxidants have difficulty getting into the tissues around the brain or instance is an noun that means a case or example of something, or antibiotics are among the most powerful and important medicines known. Whenever it is true that either several antioxidants have difficulty getting into the tissues around the brain or instance is an noun that means a case or example of something, 'if some people mistakenly believe that if schizophrenia is a degenerative illness, then it is not true that seals are carnivores and eat a lot of food for energy to keep warm and to build blubber, then eateries are located in malls' is true. One may reasonably assume that if antibiotics are among the most powerful and important medicines known, then if some people mistakenly believe that if schizophrenia is a degenerative illness, then it is not true that seals are carnivores and eat a lot of food for energy to keep warm and to build blubber, then eateries are located in malls.
|
Some people mistakenly believe that schizophrenia is a degenerative illness.
|
The statement that 'schizophrenia drastically affects people's quality of life' is incorrect.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If [2], then (If [0], then [1].).).
If [4], then [5].
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If (If [6], then [7].), then [2].
If [6], then [7].
Therefore, [2].
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [3]. [SC1-2]
Not [3].
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If (Not (If [0], then (Not [1].).).), then [3].).
If [10], then (If (Not (If [0], then (Not [1].).).), then [3].).
Therefore, If (Not (If [0], then (Not [1].).).), then [3]..
|
{0: 'Schizophrenia is a degenerative illness.', 1: 'Seals are carnivores and eat a lot of food for energy to keep warm and to build blubber.', 2: 'Endometriosis can also cause infertility.', 3: 'Eateries are located in malls.', 4: 'Thai law requires car drivers and front passengers to wear seat belts.', 5: 'Musical performances take different forms in different cultures and socioeconomic milieus.', 6: 'Boiling water is vaporization of water.', 7: 'Alcohol use is more harmful than heroin use.', 8: 'Several antioxidants have difficulty getting into the tissues around the brain.', 9: 'Instance is an noun that means a case or example of something.', 10: 'Antibiotics are among the most powerful and important medicines known.'}
| 6 |
5,933 |
['Given that the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, it can be inferred that if a snorkel diving is a skin-dive, then light always travels in straight lines.', 'It is a fact that either instinct governs the animal world or laboratories follow establish protocols.', "So long as instinct governs the animal world, 'if the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, then the claim that if a snorkel diving is a skin-dive, then light always travels in straight lines is false' is true.", 'Should it be the case that observatories also have to be away from places that have lots of light, like cities, it follows that if the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, then the claim that if a snorkel diving is a skin-dive, then light always travels in straight lines is false.', 'It is a fact that either either parents are a major source of adult leadership or shopping cause panic or if characteristics evolve over time, then if laboratories follow establish protocols, then observatories also have to be away from places that have lots of light, like cities.', 'Some people mistakenly believe that either parents are a major source of adult leadership or shopping cause panic.', 'Given that the claim that characteristics evolve over time does not correspond with reality, it can be inferred that toads eat at night.', "Provided that the claim that characteristics evolve over time does not correspond with reality, we know that the statement that 'toads eat at night' is incorrect."]
|
Given that the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, it can be inferred that if a snorkel diving is a skin-dive, then light always travels in straight lines. It is a fact that either instinct governs the animal world or laboratories follow establish protocols. So long as instinct governs the animal world, 'if the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, then the claim that if a snorkel diving is a skin-dive, then light always travels in straight lines is false' is true. Should it be the case that observatories also have to be away from places that have lots of light, like cities, it follows that if the statement, diabetics are very receptive to any technology that makes life simpler and cheaper, does not hold, then the claim that if a snorkel diving is a skin-dive, then light always travels in straight lines is false. It is a fact that either either parents are a major source of adult leadership or shopping cause panic or if characteristics evolve over time, then if laboratories follow establish protocols, then observatories also have to be away from places that have lots of light, like cities. Some people mistakenly believe that either parents are a major source of adult leadership or shopping cause panic. Given that the claim that characteristics evolve over time does not correspond with reality, it can be inferred that toads eat at night. Provided that the claim that characteristics evolve over time does not correspond with reality, we know that the statement that 'toads eat at night' is incorrect.
|
The statement 'diabetics are very receptive to any technology that makes life simpler and cheaper' can be considered true.
|
Many diabetics do well with the standard low fat high carbohydrate diet.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].).
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then (Not (If [1], then [2].).).).
If [4], then (If (Not [0].), then (Not (If [1], then [2].).).). [SC3-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC3-2]
Hypothetical Syllogism:
If [4], then [5]. [SC1-3]
If [5], then (If (Not [0].), then (Not (If [1], then [2].).).).
Therefore, If [4], then (If (Not [0].), then (Not (If [1], then [2].).).)..
[SC1-3]
Modus Ponens:
If [6], then (If [4], then [5].). [SC1-4]
[6] [SC2-4]
Therefore, If [4], then [5]..
[SC1-4]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [6], then (If [4], then [5].).).
Not (Either [8] or [9].).
Therefore, If [6], then (If [4], then [5].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].).
Therefore, [6].
|
{0: 'Diabetics are very receptive to any technology that makes life simpler and cheaper.', 1: 'A snorkel diving is a skin-dive.', 2: 'Light always travels in straight lines.', 3: 'Instinct governs the animal world.', 4: 'Laboratories follow establish protocols.', 5: 'Observatories also have to be away from places that have lots of light, like cities.', 6: 'Characteristics evolve over time.', 7: 'Toads eat at night.', 8: 'Parents are a major source of adult leadership.', 9: 'Shopping cause panic.'}
| 6 |
5,490 |
['We know that either either balance is a fact of life or fleas can be a problem during the summer and warm periods or if blennies are generally small fish, then violets perform best when they receive plenty of indirect sunlight.', 'Provided that if blennies are generally small fish, then violets perform best when they receive plenty of indirect sunlight, we know that those that suggest most ranchers market their calves right off the cow are wrong.', 'There is good reason to believe that either most children reach puberty or if stingrays inhabit water, then fish gills are made of a delicate tissue with many fine filaments that maximize surface area.', 'One may reasonably assume that if most children reach puberty, then if dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands, then either most ranchers market their calves right off the cow or molecular movement occurs at a certain speed.', 'On the condition that if stingrays inhabit water, then fish gills are made of a delicate tissue with many fine filaments that maximize surface area, it is definitely the case that if dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands, then either most ranchers market their calves right off the cow or molecular movement occurs at a certain speed.', 'It is a fact that either xenoliths are rocks or dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands.', 'The statement that states xenoliths are rocks is false.', 'Should it be the case that either balance is a fact of life or fleas can be a problem during the summer and warm periods, it follows that barns have (part) interior doors.', 'When barns have (part) interior doors is true, it follows that those that suggest most ranchers market their calves right off the cow are wrong.']
|
We know that either either balance is a fact of life or fleas can be a problem during the summer and warm periods or if blennies are generally small fish, then violets perform best when they receive plenty of indirect sunlight. Provided that if blennies are generally small fish, then violets perform best when they receive plenty of indirect sunlight, we know that those that suggest most ranchers market their calves right off the cow are wrong. There is good reason to believe that either most children reach puberty or if stingrays inhabit water, then fish gills are made of a delicate tissue with many fine filaments that maximize surface area. One may reasonably assume that if most children reach puberty, then if dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands, then either most ranchers market their calves right off the cow or molecular movement occurs at a certain speed. On the condition that if stingrays inhabit water, then fish gills are made of a delicate tissue with many fine filaments that maximize surface area, it is definitely the case that if dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands, then either most ranchers market their calves right off the cow or molecular movement occurs at a certain speed. It is a fact that either xenoliths are rocks or dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands. The statement that states xenoliths are rocks is false. Should it be the case that either balance is a fact of life or fleas can be a problem during the summer and warm periods, it follows that barns have (part) interior doors. When barns have (part) interior doors is true, it follows that those that suggest most ranchers market their calves right off the cow are wrong.
|
molecular movement occurs at a certain speed.
|
Most hyenas live in Africa, though there are some in Asia.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [6], then (Either [1] or [0].). [SC1-2]
[6] [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (If [6], then (Either [1] or [0].).).
If (If [8], then [9].), then (If [6], then (Either [1] or [0].).).
Therefore, If [6], then (Either [1] or [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [10] or [6].
Not [10].
Therefore, [6].
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or (If [4], then [5].).
If (Either [2] or [3].), then (Not [1].). [SC2-2]
If (If [4], then [5].), then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [11].
If [11], then (Not [1].).
Therefore, If (Either [2] or [3].), then (Not [1].)..
|
{0: 'Molecular movement occurs at a certain speed.', 1: 'Most ranchers market their calves right off the cow.', 2: 'Balance is a fact of life.', 3: 'Fleas can be a problem during the summer and warm periods.', 4: 'Blennies are generally small fish.', 5: 'Violets perform best when they receive plenty of indirect sunlight.', 6: 'Dunes move grain by grain while the wind whistles around the tenacious flora surviving in the sands.', 7: 'Most children reach puberty.', 8: 'Stingrays inhabit water.', 9: 'Fish gills are made of a delicate tissue with many fine filaments that maximize surface area.', 10: 'Xenoliths are rocks.', 11: 'Barns have (part) interior doors.'}
| 6 |
5,787 |
["Either one or both of these statements are true: butter contains both saturated and unsaturated fatty acids, or if the statement that 'either companies use tests or cats have vaginal discharge' is incorrect, then gonads are endocrine glands.", 'Should it be the case that gonads are endocrine glands, it follows that many species are capable of changing sex.', 'Provided that butter contains both saturated and unsaturated fatty acids, we know that ectotherms can change their behavior in order to adapt to freezing temperatures.', 'The claim that ectotherms can change their behavior in order to adapt to freezing temperatures does not correspond with reality.', 'One may reasonably assume that if many species are capable of changing sex, then if prostate cancer accounts for one of every three cancers among American men, then economic ideologies refer primarily to the ownership of property.', 'Given that duties include coordinate schedules, it can be inferred that some people mistakenly believe that if prostate cancer accounts for one of every three cancers among American men, then economic ideologies refer primarily to the ownership of property.', "The statement 'duties include coordinate schedules' can be considered true."]
|
Either one or both of these statements are true: butter contains both saturated and unsaturated fatty acids, or if the statement that 'either companies use tests or cats have vaginal discharge' is incorrect, then gonads are endocrine glands. Should it be the case that gonads are endocrine glands, it follows that many species are capable of changing sex. Provided that butter contains both saturated and unsaturated fatty acids, we know that ectotherms can change their behavior in order to adapt to freezing temperatures. The claim that ectotherms can change their behavior in order to adapt to freezing temperatures does not correspond with reality. One may reasonably assume that if many species are capable of changing sex, then if prostate cancer accounts for one of every three cancers among American men, then economic ideologies refer primarily to the ownership of property. Given that duties include coordinate schedules, it can be inferred that some people mistakenly believe that if prostate cancer accounts for one of every three cancers among American men, then economic ideologies refer primarily to the ownership of property. The statement 'duties include coordinate schedules' can be considered true.
|
There is good reason to believe that either companies use tests or cats have vaginal discharge.
|
There is good reason to believe that either companies use tests or cats have vaginal discharge.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not (Either [0] or [1].).), then [2].).
Not [3]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Modus Tonens:
If [3], then [7].
Not [7].
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If [2], then [4].
Not [4]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Modus Tonens:
If [4], then (If [5], then [6].).
Not (If [5], then [6].). [SC2-3]
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If [8], then (Not (If [5], then [6].).).
[8]
Therefore, Not (If [5], then [6].)..
|
{0: 'Companies use tests.', 1: 'Cats have vaginal discharge.', 2: 'Gonads are endocrine glands.', 3: 'Butter contains both saturated and unsaturated fatty acids.', 4: 'Many species are capable of changing sex.', 5: 'Prostate cancer accounts for one of every three cancers among American men.', 6: 'Economic ideologies refer primarily to the ownership of property.', 7: 'Ectotherms can change their behavior in order to adapt to freezing temperatures.', 8: 'Duties include coordinate schedules.'}
| 6 |
5,449 |
['Once we know it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, we also know that if women are more likely to die of heart attack than of any other cause, then stems carry water.', "When the statement 'if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then it is not the case that backbones have follow characteristics' can be considered false is true, it follows that food helps growth.", 'One may reasonably assume that if avalanches are extremely dangerous in many areas, then if it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, then those that suggest if women are more likely to die of heart attack than of any other cause, then stems carry water are wrong.', 'Given that dialysis tubing is often a source of contaminants and other interfering substances, it can be inferred that if it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, then those that suggest if women are more likely to die of heart attack than of any other cause, then stems carry water are wrong.', "Whenever it is true that the claim that if the statement 'if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then it is not the case that backbones have follow characteristics' can be considered false, then some people mistakenly believe that food helps growth does not correspond with reality, 'if paramecium is a predatory microorganism found in the freshwaters, then breast cancer is a very treatable disease' is true.", 'The claim that if paramecium is a predatory microorganism found in the freshwaters, then breast cancer is a very treatable disease is false.', 'Either abuse comes in many forms, it can be physical, emotional, or mental abuse or either avalanches are extremely dangerous in many areas or dialysis tubing is often a source of contaminants and other interfering substances.', 'It is not true that abuse comes in many forms, it can be physical, emotional, or mental abuse.']
|
Once we know it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, we also know that if women are more likely to die of heart attack than of any other cause, then stems carry water. When the statement 'if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then it is not the case that backbones have follow characteristics' can be considered false is true, it follows that food helps growth. One may reasonably assume that if avalanches are extremely dangerous in many areas, then if it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, then those that suggest if women are more likely to die of heart attack than of any other cause, then stems carry water are wrong. Given that dialysis tubing is often a source of contaminants and other interfering substances, it can be inferred that if it is not true that if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then backbones have follow characteristics, then those that suggest if women are more likely to die of heart attack than of any other cause, then stems carry water are wrong. Whenever it is true that the claim that if the statement 'if those that suggest either a registry is a record or thrips are shallow feeders that feed primarily on surface tissue are wrong, then it is not the case that backbones have follow characteristics' can be considered false, then some people mistakenly believe that food helps growth does not correspond with reality, 'if paramecium is a predatory microorganism found in the freshwaters, then breast cancer is a very treatable disease' is true. The claim that if paramecium is a predatory microorganism found in the freshwaters, then breast cancer is a very treatable disease is false. Either abuse comes in many forms, it can be physical, emotional, or mental abuse or either avalanches are extremely dangerous in many areas or dialysis tubing is often a source of contaminants and other interfering substances. It is not true that abuse comes in many forms, it can be physical, emotional, or mental abuse.
|
We know that at least one of two things is true: a registry is a record, or thrips are shallow feeders that feed primarily on surface tissue.
|
It is a fact that either registries There are public registries for trademarks, designs and patents or thrips are most easy to find early in the day.
|
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 (If [4], then [5].).
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (If [4], then [5].).). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (If [4], then [5].).).).
If [7], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (If [4], then [5].).).).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not (If [4], then [5].).)..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (Either [6] or [7].).
Not [10].
Therefore, Either [6] or [7]..
[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]
Modus Tonens:
If (Not (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].).).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [3].)..
|
{0: 'A registry is a record.', 1: 'Thrips are shallow feeders that feed primarily on surface tissue.', 2: 'Backbones have follow characteristics.', 3: 'Food helps growth.', 4: 'Women are more likely to die of heart attack than of any other cause.', 5: 'Stems carry water.', 6: 'Avalanches are extremely dangerous in many areas.', 7: 'Dialysis tubing is often a source of contaminants and other interfering substances.', 8: 'Paramecium is a predatory microorganism found in the freshwaters.', 9: 'Breast cancer is a very treatable disease.', 10: 'Abuse comes in many forms, it can be physical, emotional, or mental abuse.'}
| 6 |
5,703 |
['One may reasonably assume that if light plays an important role in the life of all organism, then either silence is spoken by the dead or science is a tool for improving our lives and one of the keys to a successful future.', "The statement 'light plays an important role in the life of all organism' is true.", 'The claim that car crashs are located in freeways has no merit.', 'We know that either some plant leaves have stomata or if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then slander is speech acts.', "The statement that 'some plant leaves have stomata' is incorrect.", "It is a fact that either snowflake obsidian is black with white 'flakes' or some materials can injure plants when they are stressed for moisture.", "On the condition that snowflake obsidian is black with white 'flakes' , it is definitely the case that if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then it is a common misconception that slander is speech acts.", 'Once we know some materials can injure plants when they are stressed for moisture, we also know that if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then it is a common misconception that slander is speech acts.']
|
One may reasonably assume that if light plays an important role in the life of all organism, then either silence is spoken by the dead or science is a tool for improving our lives and one of the keys to a successful future. The statement 'light plays an important role in the life of all organism' is true. The claim that car crashs are located in freeways has no merit. We know that either some plant leaves have stomata or if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then slander is speech acts. The statement that 'some plant leaves have stomata' is incorrect. It is a fact that either snowflake obsidian is black with white 'flakes' or some materials can injure plants when they are stressed for moisture. On the condition that snowflake obsidian is black with white 'flakes' , it is definitely the case that if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then it is a common misconception that slander is speech acts. Once we know some materials can injure plants when they are stressed for moisture, we also know that if we know that the claim that if silence is spoken by the dead, then car crashs are located in freeways is false, then it is a common misconception that slander is speech acts.
|
It is the case that science is a tool for improving our lives and one of the keys to a successful future.
|
It is the case that science is a tool for improving our lives and one of the keys to a successful future.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either [1] or [0].).
[3]
Therefore, Either [1] or [0]..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [4]. [SC1-3]
If (Not (If [1], then [2].).), then (Not [4].). [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [1], then [2].).), then [4].).
Not [7].
Therefore, If (Not (If [1], then [2].).), then [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [1], then [2].).), then (Not [4].).).
If [6], then (If (Not (If [1], then [2].).), then (Not [4].).).
Therefore, If (Not (If [1], then [2].).), then (Not [4].)..
|
{0: 'Science is a tool for improving our lives and one of the keys to a successful future.', 1: 'Silence is spoken by the dead.', 2: 'Car crashs are located in freeways.', 3: 'Light plays an important role in the life of all organism.', 4: 'Slander is speech acts.', 5: "Snowflake obsidian is black with white 'flakes' .", 6: 'Some materials can injure plants when they are stressed for moisture.', 7: 'Some plant leaves have stomata.'}
| 6 |
5,437 |
['On the condition that the claim that fiber optics deliver total protection of control circuits from devastating lightning strikes is false, it is definitely the case that some people mistakenly believe that energy results in negative pressure.', "So long as either sea turtles gather together to mate or ignition is itself intimately tied to instinct, 'energy results in negative pressure' is true.", 'Assuming the claim that fiber optics deliver total protection of control circuits from devastating lightning strikes is false, we know that either sticklebacks have (part) cell membranes or a dreamer is a sleeper.', 'Should it be the case that either dogs are characteristically more massive throughout with larger frame and heavier bone than bitches or dingos have (part) skulls, it follows that if women experience depression twice as often as men, then either sea turtles gather together to mate or ignition is itself intimately tied to instinct.', 'We know that either dogs are characteristically more massive throughout with larger frame and heavier bone than bitches or dingos have (part) skulls.', 'Once we know those that suggest if either sticklebacks have (part) cell membranes or a dreamer is a sleeper, then women experience depression twice as often as men are wrong, we also know that either s pines are the most common form of weapon for protection or attack or relationships are where the heart and soul of a school lie.', 'Those that suggest either s pines are the most common form of weapon for protection or attack or relationships are where the heart and soul of a school lie are wrong.']
|
On the condition that the claim that fiber optics deliver total protection of control circuits from devastating lightning strikes is false, it is definitely the case that some people mistakenly believe that energy results in negative pressure. So long as either sea turtles gather together to mate or ignition is itself intimately tied to instinct, 'energy results in negative pressure' is true. Assuming the claim that fiber optics deliver total protection of control circuits from devastating lightning strikes is false, we know that either sticklebacks have (part) cell membranes or a dreamer is a sleeper. Should it be the case that either dogs are characteristically more massive throughout with larger frame and heavier bone than bitches or dingos have (part) skulls, it follows that if women experience depression twice as often as men, then either sea turtles gather together to mate or ignition is itself intimately tied to instinct. We know that either dogs are characteristically more massive throughout with larger frame and heavier bone than bitches or dingos have (part) skulls. Once we know those that suggest if either sticklebacks have (part) cell membranes or a dreamer is a sleeper, then women experience depression twice as often as men are wrong, we also know that either s pines are the most common form of weapon for protection or attack or relationships are where the heart and soul of a school lie. Those that suggest either s pines are the most common form of weapon for protection or attack or relationships are where the heart and soul of a school lie are wrong.
|
fiber optics deliver total protection of control circuits from devastating lightning strikes.
|
Fiber optics deliver total protection of control circuits from devastating lightning strikes.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [2] or [3].). [SC1-2]
If (Either [2] or [3].), then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [4]. [SC1-3]
If [4], then (Either [2] or [3].). [SC2-3]
Therefore, If (Not [0].), then (Either [2] or [3].)..
[SC1-3]
Hypothetical Syllogism:
If (Not [0].), then (Either [7] or [8].).
If (Either [7] or [8].), then [4]. [SC2-4]
Therefore, If (Not [0].), then [4]..
[SC2-4]
Modus Tonens:
If (Not (If (Either [7] or [8].), then [4].).), then (Either [9] or [10].).
Not (Either [9] or [10].).
Therefore, If (Either [7] or [8].), then [4]..
[SC2-3]
Modus Ponens:
If (Either [5] or [6].), then (If [4], then (Either [2] or [3].).).
Either [5] or [6].
Therefore, If [4], then (Either [2] or [3].)..
|
{0: 'Fiber optics deliver total protection of control circuits from devastating lightning strikes.', 1: 'Energy results in negative pressure.', 2: 'Sea turtles gather together to mate.', 3: 'Ignition is itself intimately tied to instinct.', 4: 'Women experience depression twice as often as men.', 5: 'Dogs are characteristically more massive throughout with larger frame and heavier bone than bitches.', 6: 'Dingos have (part) skulls.', 7: 'Sticklebacks have (part) cell membranes.', 8: 'A dreamer is a sleeper.', 9: 'S pines are the most common form of weapon for protection or attack.', 10: 'Relationships are where the heart and soul of a school lie.'}
| 6 |
5,563 |
["If the statement that 'protists are the most diversified of all eukaryotes' is incorrect, then some people keep geese.", 'Should it be the case that some people keep geese, it follows that some hands conduct electricity.', 'At least one of two things is true: if specific heat is heat, then birds also harvest blueberries, often the complete crop from a small planting, or temp isa worker.', 'Provided that if specific heat is heat, then birds also harvest blueberries, often the complete crop from a small planting, we know that some people mistakenly believe that some hands conduct electricity.', "Whenever it is true that the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, 'reflective glare shows up as very bright light coming from the mirror' is true.", "Whenever it is true that those that suggest if the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, then it is not the case that reflective glare shows up as very bright light coming from the mirror are wrong, 'the statement that states rulers Locate current and past leaders of most countries around the world is false' is true.", 'Given that the claim that if those that suggest if the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, then it is not the case that reflective glare shows up as very bright light coming from the mirror are wrong, then rulers Locate current and past leaders of most countries around the world does not reflect reality, it can be inferred that fish have endorphins.', 'The claim that fish have endorphins is false.']
|
If the statement that 'protists are the most diversified of all eukaryotes' is incorrect, then some people keep geese. Should it be the case that some people keep geese, it follows that some hands conduct electricity. At least one of two things is true: if specific heat is heat, then birds also harvest blueberries, often the complete crop from a small planting, or temp isa worker. Provided that if specific heat is heat, then birds also harvest blueberries, often the complete crop from a small planting, we know that some people mistakenly believe that some hands conduct electricity. Whenever it is true that the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, 'reflective glare shows up as very bright light coming from the mirror' is true. Whenever it is true that those that suggest if the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, then it is not the case that reflective glare shows up as very bright light coming from the mirror are wrong, 'the statement that states rulers Locate current and past leaders of most countries around the world is false' is true. Given that the claim that if those that suggest if the claim that if temp isa worker, then some people mistakenly believe that some hands conduct electricity has no merit, then it is not the case that reflective glare shows up as very bright light coming from the mirror are wrong, then rulers Locate current and past leaders of most countries around the world does not reflect reality, it can be inferred that fish have endorphins. The claim that fish have endorphins is false.
|
Many people rightly believe that protists are the most diversified of all eukaryotes.
|
Many people rightly believe that protists are the most diversified of all eukaryotes.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [5].
If [5], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Not [1].).
If [4], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [1].).).), then [6].
If (Not (If [4], then (Not [1].).).), then (Not [6].). [SC2-3]
Therefore, If [4], then (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (Not [1].).).), then (Not [6].).).), then [7]. [SC1-4]
If (Not (If (Not (If [4], then (Not [1].).).), then (Not [6].).).), then (Not [7].).
Therefore, If (Not (If [4], then (Not [1].).).), then (Not [6].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Not (If [4], then (Not [1].).).), then (Not [6].).).), then [7].).), then [8].
Not [8].
Therefore, If (Not (If (Not (If [4], then (Not [1].).).), then (Not [6].).).), then [7]..
|
{0: 'Protists are the most diversified of all eukaryotes.', 1: 'Some hands conduct electricity.', 2: 'Specific heat is heat.', 3: 'Birds also harvest blueberries, often the complete crop from a small planting.', 4: 'Temp isa worker.', 5: 'Some people keep geese.', 6: 'Reflective glare shows up as very bright light coming from the mirror.', 7: 'Rulers Locate current and past leaders of most countries around the world.', 8: 'Fish have endorphins.'}
| 6 |
5,720 |
['The claim that flash bulbs feature high intensity, long duration, easy set-up, and low power requirements has no merit.', 'Should it be the case that narcotic medications can induce an altered level of consciousness and mental status, it follows that if either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making, then flash bulbs feature high intensity, long duration, easy set-up, and low power requirements.', 'Assuming tobacco is also a gateway drug for teenagers, we know that if either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making, then flash bulbs feature high intensity, long duration, easy set-up, and low power requirements.', "The statement 'most elm trees grow in landscapes' can be considered false.", 'Once we know selenium is also an important mineral antioxidant, we also know that the statement, many persons use an alternate form of contraception or none at all, does not hold.', 'selenium is also an important mineral antioxidant.', 'It is a fact that either organizational awareness comes from a range of sources from intuitive perception to factual data or some scientific concepts involve live organisms.', 'One may reasonably assume that if organizational awareness comes from a range of sources from intuitive perception to factual data, then most elm trees grow in landscapes.', 'Once we know some scientific concepts involve live organisms, we also know that either many persons use an alternate form of contraception or none at all or either narcotic medications can induce an altered level of consciousness and mental status or tobacco is also a gateway drug for teenagers.']
|
The claim that flash bulbs feature high intensity, long duration, easy set-up, and low power requirements has no merit. Should it be the case that narcotic medications can induce an altered level of consciousness and mental status, it follows that if either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making, then flash bulbs feature high intensity, long duration, easy set-up, and low power requirements. Assuming tobacco is also a gateway drug for teenagers, we know that if either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making, then flash bulbs feature high intensity, long duration, easy set-up, and low power requirements. The statement 'most elm trees grow in landscapes' can be considered false. Once we know selenium is also an important mineral antioxidant, we also know that the statement, many persons use an alternate form of contraception or none at all, does not hold. selenium is also an important mineral antioxidant. It is a fact that either organizational awareness comes from a range of sources from intuitive perception to factual data or some scientific concepts involve live organisms. One may reasonably assume that if organizational awareness comes from a range of sources from intuitive perception to factual data, then most elm trees grow in landscapes. Once we know some scientific concepts involve live organisms, we also know that either many persons use an alternate form of contraception or none at all or either narcotic medications can induce an altered level of consciousness and mental status or tobacco is also a gateway drug for teenagers.
|
It is not the case that either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making.
|
Either green tea contains compounds that kill prostate cancer cells or industry is confined to boat building, ship repairing, and furniture making.
|
FALSE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2].
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Either [0] or [1].), then [2].).
If [4], then (If (Either [0] or [1].), then [2].).
Therefore, If (Either [0] or [1].), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or [4].). [SC1-3]
Not [5]. [SC2-3]
Therefore, Either [3] or [4]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either [5] or (Either [3] or [4].).). [SC1-4]
Not [7].
Therefore, Either [5] or (Either [3] or [4].)..
[SC1-4]
Constructive Dilemma:
Either [8] or [9].
If [8], then [7].
If [9], then (Either [5] or (Either [3] or [4].).).
Therefore, Either [7] or (Either [5] or (Either [3] or [4].).)..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].).
[6]
Therefore, Not [5]..
|
{0: 'Green tea contains compounds that kill prostate cancer cells.', 1: 'Industry is confined to boat building, ship repairing, and furniture making.', 2: 'Flash bulbs feature high intensity, long duration, easy set-up, and low power requirements.', 3: 'Narcotic medications can induce an altered level of consciousness and mental status.', 4: 'Tobacco is also a gateway drug for teenagers.', 5: 'Many persons use an alternate form of contraception or none at all.', 6: 'Selenium is also an important mineral antioxidant.', 7: 'Most elm trees grow in landscapes.', 8: 'Organizational awareness comes from a range of sources from intuitive perception to factual data.', 9: 'Some scientific concepts involve live organisms.'}
| 6 |
5,890 |
['At least one of two things is true: political instinct is usually more important than intellect, or if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures.', "Should it be the case that chimps have (part) rib cages, it follows that if political instinct is usually more important than intellect, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect.", 'It is fair to say that chimps have (part) rib cages.', 'The claim that aggression is defined as any action that is intended to hurt others does not correspond with reality.', "Given that the statement, if the claim that if if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect is false, then aggression is defined as any action that is intended to hurt others, does not hold, it can be inferred that cloning involves the use of two cells, an unfertilized egg, the recipient.", "If sunlight activates the melanin in paler skin, causing tanning or freckles, then if the statement, if the claim that if if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect is false, then aggression is defined as any action that is intended to hurt others, does not hold, then we know that the claim that cloning involves the use of two cells, an unfertilized egg, the recipient is false.", 'Should it be the case that blood provides nutrients, it follows that sunlight activates the melanin in paler skin, causing tanning or freckles.', 'It is a simple truth that blood provides nutrients.']
|
At least one of two things is true: political instinct is usually more important than intellect, or if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures. Should it be the case that chimps have (part) rib cages, it follows that if political instinct is usually more important than intellect, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect. It is fair to say that chimps have (part) rib cages. The claim that aggression is defined as any action that is intended to hurt others does not correspond with reality. Given that the statement, if the claim that if if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect is false, then aggression is defined as any action that is intended to hurt others, does not hold, it can be inferred that cloning involves the use of two cells, an unfertilized egg, the recipient. If sunlight activates the melanin in paler skin, causing tanning or freckles, then if the statement, if the claim that if if helpings causes hearts, then many synthetic fluids offer greater thermal stability at high temperatures, then the statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect is false, then aggression is defined as any action that is intended to hurt others, does not hold, then we know that the claim that cloning involves the use of two cells, an unfertilized egg, the recipient is false. Should it be the case that blood provides nutrients, it follows that sunlight activates the melanin in paler skin, causing tanning or freckles. It is a simple truth that blood provides nutrients.
|
The statement that 'enzymes improve food safety by catalysing the degradation of indigenous toxic factors' is incorrect.
|
The statement that 'enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts' is incorrect.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then (Not [0].).).
[4]
Therefore, If [1], then (Not [0].)..
[SC3-1]
Modus Tonens:
If (Not (If (If [2], then [3].), then (Not [0].).).), then [5]. [SC1-2]
Not [5].
Therefore, If (If [2], then [3].), then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [2], then [3].), then (Not [0].).).), then [5].).), then [6].
If (Not (If (Not (If (If [2], then [3].), then (Not [0].).).), then [5].).), then (Not [6].). [SC2-3]
Therefore, If (Not (If (If [2], then [3].), then (Not [0].).).), then [5]..
[SC2-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If (If [2], then [3].), then (Not [0].).).), then [5].).), then (Not [6].).).
[7] [SC2-4]
Therefore, If (Not (If (Not (If (If [2], then [3].), then (Not [0].).).), then [5].).), then (Not [6].)..
[SC2-4]
Modus Ponens:
If [8], then [7].
[8]
Therefore, [7].
|
{0: 'Enzymes improve food safety by catalysing the degradation of indigenous toxic factors.', 1: 'Political instinct is usually more important than intellect.', 2: 'Helpings causes hearts.', 3: 'Many synthetic fluids offer greater thermal stability at high temperatures.', 4: 'Chimps have (part) rib cages.', 5: 'Aggression is defined as any action that is intended to hurt others.', 6: 'Cloning involves the use of two cells, an unfertilized egg, the recipient.', 7: 'Sunlight activates the melanin in paler skin, causing tanning or freckles.', 8: 'Blood provides nutrients.'}
| 6 |
5,219 |
['Given that forums are work areas that contain a specific types of information, it can be inferred that the statement that states athletes can lift weights and do other things to get themselves in shape is false.', 'When the statement, if it is not true that if forums are work areas that contain a specific types of information, then athletes can lift weights and do other things to get themselves in shape, then wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, does not hold is true, it follows that swan isa bird.', 'Provided that wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, we know that the claim that either blue crabs have a hard shell or exoskeleton or flexible muscles can decrease the risk of injury has no merit.', "So long as most various functions relate to bone metabolism, 'some people mistakenly believe that swan isa bird' is true.", 'Many people rightly believe that most various functions relate to bone metabolism.', 'Provided that either faith is famous to paleontologists or prokaryotes have the potential to reproduce quickly in a favorable environment, we know that if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then either blue crabs have a hard shell or exoskeleton or flexible muscles can decrease the risk of injury.', 'It is rational to believe that either faith is famous to paleontologists or prokaryotes have the potential to reproduce quickly in a favorable environment.']
|
Given that forums are work areas that contain a specific types of information, it can be inferred that the statement that states athletes can lift weights and do other things to get themselves in shape is false. When the statement, if it is not true that if forums are work areas that contain a specific types of information, then athletes can lift weights and do other things to get themselves in shape, then wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, does not hold is true, it follows that swan isa bird. Provided that wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, we know that the claim that either blue crabs have a hard shell or exoskeleton or flexible muscles can decrease the risk of injury has no merit. So long as most various functions relate to bone metabolism, 'some people mistakenly believe that swan isa bird' is true. Many people rightly believe that most various functions relate to bone metabolism. Provided that either faith is famous to paleontologists or prokaryotes have the potential to reproduce quickly in a favorable environment, we know that if wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells, then either blue crabs have a hard shell or exoskeleton or flexible muscles can decrease the risk of injury. It is rational to believe that either faith is famous to paleontologists or prokaryotes have the potential to reproduce quickly in a favorable environment.
|
It is a common misconception that forums are work areas that contain a specific types of information.
|
The statement that 'forums are venues' is incorrect.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].
Not [3]. [SC2-3]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-3]
Modus Ponens:
If [6], then (Not [3].).
[6]
Therefore, Not [3]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (Either [4] or [5].). [SC1-3]
If [2], then (Not (Either [4] or [5].).).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (If [2], then (Either [4] or [5].).).
Either [7] or [8].
Therefore, If [2], then (Either [4] or [5].)..
|
{0: 'Forums are work areas that contain a specific types of information.', 1: 'Athletes can lift weights and do other things to get themselves in shape.', 2: 'Wildflowers are loveliest in Galilee and grow beyond the shoreline of pebbles and shells.', 3: 'Swan isa bird.', 4: 'Blue crabs have a hard shell or exoskeleton.', 5: 'Flexible muscles can decrease the risk of injury.', 6: 'Most various functions relate to bone metabolism.', 7: 'Faith is famous to paleontologists.', 8: 'Prokaryotes have the potential to reproduce quickly in a favorable environment.'}
| 6 |
5,678 |
['Assuming distortion is both growth and shrinkage of parts, we know that the claim that local anesthetics are effective for severe pain does not reflect reality.', 'Either one or both of these statements are true: backbones have characteristics, or either some tree squirrels damage trees or child abuse is the mistreatment or neglect of a child which results in harm to the child.', 'Assuming either some tree squirrels damage trees or child abuse is the mistreatment or neglect of a child which results in harm to the child, we know that if distortion is both growth and shrinkage of parts, then local anesthetics are effective for severe pain.', 'We know that either some animals lose water or if most infect leaves have pale spots, then if backbones have characteristics, then if distortion is both growth and shrinkage of parts, then local anesthetics are effective for severe pain.', "The notion that 'some animals lose water' is untrue.", 'Either either outburst floods in the high mountains mean devastating floods for the lowland countries downstream or counters are used for space or concentration affects intensity.', 'One may reasonably assume that if either outburst floods in the high mountains mean devastating floods for the lowland countries downstream or counters are used for space, then most infect leaves have pale spots.', 'Given that the claim that if concentration affects intensity, then most infect leaves have pale spots has no merit, it can be inferred that enzymes do far more than digest food.', 'It is not the case that enzymes do far more than digest food.']
|
Assuming distortion is both growth and shrinkage of parts, we know that the claim that local anesthetics are effective for severe pain does not reflect reality. Either one or both of these statements are true: backbones have characteristics, or either some tree squirrels damage trees or child abuse is the mistreatment or neglect of a child which results in harm to the child. Assuming either some tree squirrels damage trees or child abuse is the mistreatment or neglect of a child which results in harm to the child, we know that if distortion is both growth and shrinkage of parts, then local anesthetics are effective for severe pain. We know that either some animals lose water or if most infect leaves have pale spots, then if backbones have characteristics, then if distortion is both growth and shrinkage of parts, then local anesthetics are effective for severe pain. The notion that 'some animals lose water' is untrue. Either either outburst floods in the high mountains mean devastating floods for the lowland countries downstream or counters are used for space or concentration affects intensity. One may reasonably assume that if either outburst floods in the high mountains mean devastating floods for the lowland countries downstream or counters are used for space, then most infect leaves have pale spots. Given that the claim that if concentration affects intensity, then most infect leaves have pale spots has no merit, it can be inferred that enzymes do far more than digest food. It is not the case that enzymes do far more than digest food.
|
Some people mistakenly believe that distortion is both growth and shrinkage of parts.
|
Some people mistakenly believe that distortion occurs when the cochlea changes the sound in some way.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].).
If [2], then (If [0], then [1].). [SC2-2]
If (Either [3] or [4].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (If [0], then [1].).). [SC1-3]
[5] [SC2-3]
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [5], then (If [2], then (If [0], then [1].).).).
Not [6].
Therefore, If [5], then (If [2], then (If [0], then [1].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then [5].
If [9], then [5]. [SC3-4]
Therefore, [5].
[SC3-4]
Modus Tonens:
If (Not (If [9], then [5].).), then [10].
Not [10].
Therefore, If [9], then [5]..
|
{0: 'Distortion is both growth and shrinkage of parts.', 1: 'Local anesthetics are effective for severe pain.', 2: 'Backbones have characteristics.', 3: 'Some tree squirrels damage trees.', 4: 'Child abuse is the mistreatment or neglect of a child which results in harm to the child.', 5: 'Most infect leaves have pale spots.', 6: 'Some animals lose water.', 7: 'Outburst floods in the high mountains mean devastating floods for the lowland countries downstream.', 8: 'Counters are used for space.', 9: 'Concentration affects intensity.', 10: 'Enzymes do far more than digest food.'}
| 6 |
5,586 |
['When traders are creatures of habit is true, it follows that people can be more allergic to their pets in the spring and the fall.', 'Should it be the case that people can be more allergic to their pets in the spring and the fall, it follows that ophthalmologists also perform eye surgery.', 'Should it be the case that ophthalmologists also perform eye surgery, it follows that antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow.', "Whenever it is true that the claim that if people can be more allergic to their pets in the spring and the fall, then the statement that states antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow is false does not correspond with reality, 'the statement that 'cancer is the most sensitive sign of the zodiac' is incorrect' is true.", 'One may reasonably assume that if if termites simply follow eons of survival instincts by searching out a food source, then animals are a part of every day life, then cancer is the most sensitive sign of the zodiac.', "Provided that the claim that if people can be more allergic to their pets in the spring and the fall, then the statement that states antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow is false does not correspond with reality, we know that either iconic signs have a visual relationship or similarity to what they are signifying or midwives then tailor their care to the individual's own needs and beliefs.", "Provided that either iconic signs have a visual relationship or similarity to what they are signifying or midwives then tailor their care to the individual's own needs and beliefs, we know that if termites simply follow eons of survival instincts by searching out a food source, then animals are a part of every day life."]
|
When traders are creatures of habit is true, it follows that people can be more allergic to their pets in the spring and the fall. Should it be the case that people can be more allergic to their pets in the spring and the fall, it follows that ophthalmologists also perform eye surgery. Should it be the case that ophthalmologists also perform eye surgery, it follows that antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow. Whenever it is true that the claim that if people can be more allergic to their pets in the spring and the fall, then the statement that states antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow is false does not correspond with reality, 'the statement that 'cancer is the most sensitive sign of the zodiac' is incorrect' is true. One may reasonably assume that if if termites simply follow eons of survival instincts by searching out a food source, then animals are a part of every day life, then cancer is the most sensitive sign of the zodiac. Provided that the claim that if people can be more allergic to their pets in the spring and the fall, then the statement that states antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow is false does not correspond with reality, we know that either iconic signs have a visual relationship or similarity to what they are signifying or midwives then tailor their care to the individual's own needs and beliefs. Provided that either iconic signs have a visual relationship or similarity to what they are signifying or midwives then tailor their care to the individual's own needs and beliefs, we know that if termites simply follow eons of survival instincts by searching out a food source, then animals are a part of every day life.
|
The notion that 'traders are creatures of habit' is untrue.
|
It is not the case that traders have (part) material bodies.
|
Uncertain
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [2].
Therefore, If [1], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then [4]. [SC1-3]
If (Not (If [1], then (Not [2].).).), then (Not [4].).
Therefore, If [1], then (Not [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [1], then (Not [2].).).), then (If [5], then [6].). [SC1-4]
If (If [5], then [6].), then [4].
Therefore, If (Not (If [1], then (Not [2].).).), then [4]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [1], then (Not [2].).).), then (Either [7] or [8].).
If (Either [7] or [8].), then (If [5], then [6].).
Therefore, If (Not (If [1], then (Not [2].).).), then (If [5], then [6].)..
|
{0: 'Traders are creatures of habit.', 1: 'People can be more allergic to their pets in the spring and the fall.', 2: 'Antibiotics can reduce the bacteria that keep the yeast in check, allowing the yeast to overgrow.', 3: 'Ophthalmologists also perform eye surgery.', 4: 'Cancer is the most sensitive sign of the zodiac.', 5: 'Termites simply follow eons of survival instincts by searching out a food source.', 6: 'Animals are a part of every day life.', 7: 'Iconic signs have a visual relationship or similarity to what they are signifying.', 8: "Midwives then tailor their care to the individual's own needs and beliefs."}
| 6 |
5,282 |
["The statement 'an aspect is a feature' can be considered false.", "Should it be the case that the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, it follows that the claim that sites contain specific information has no merit.", "Provided that it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, we know that the notion that 'education is vital in transmitting culture' is untrue.", "So long as caffeine can also be very effective and is given by mouth, 'if it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, then education is vital in transmitting culture' is true.", 'Should it be the case that the statement, either caffeine can also be very effective and is given by mouth or apples have to be grafted onto other apples, pears to pears, does not hold, it follows that comets are bodies of ice, rock and organic compounds that can be several miles in diameter.', "Whenever it is true that the statement, either caffeine can also be very effective and is given by mouth or apples have to be grafted onto other apples, pears to pears, does not hold, 'the statement that states comets are bodies of ice, rock and organic compounds that can be several miles in diameter is false' is true.", 'Assuming apples have to be grafted onto other apples, pears to pears, we know that king cobras swallow struggle prey.', "If king cobras swallow struggle prey, then if it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, then education is vital in transmitting culture."]
|
The statement 'an aspect is a feature' can be considered false. Should it be the case that the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, it follows that the claim that sites contain specific information has no merit. Provided that it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, we know that the notion that 'education is vital in transmitting culture' is untrue. So long as caffeine can also be very effective and is given by mouth, 'if it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, then education is vital in transmitting culture' is true. Should it be the case that the statement, either caffeine can also be very effective and is given by mouth or apples have to be grafted onto other apples, pears to pears, does not hold, it follows that comets are bodies of ice, rock and organic compounds that can be several miles in diameter. Whenever it is true that the statement, either caffeine can also be very effective and is given by mouth or apples have to be grafted onto other apples, pears to pears, does not hold, 'the statement that states comets are bodies of ice, rock and organic compounds that can be several miles in diameter is false' is true. Assuming apples have to be grafted onto other apples, pears to pears, we know that king cobras swallow struggle prey. If king cobras swallow struggle prey, then if it is not true that if the statement that 'either an aspect is a feature or we know that the claim that hikers make trips is false' is incorrect, then sites contain specific information, then education is vital in transmitting culture.
|
We know that the claim that hikers make trips is false.
|
The claim that hikers have (part) vacuoles is false.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (Not [0].).).), then [2]. [SC1-2]
If (Not (Either [1] or (Not [0].).).), then (Not [2].).
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3]. [SC1-3]
If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then (Not [3].).
Therefore, If (Not (Either [1] or (Not [0].).).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then (If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3].).
If [5], then (If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3].). [SC3-4]
Therefore, If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [6].
If (Not (Either [4] or [5].).), then (Not [6].).
Therefore, Either [4] or [5]..
[SC3-4]
Hypothetical Syllogism:
If [5], then [7].
If [7], then (If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3].).
Therefore, If [5], then (If (Not (If (Not (Either [1] or (Not [0].).).), then [2].).), then [3].)..
|
{0: 'Hikers make trips.', 1: 'An aspect is a feature.', 2: 'Sites contain specific information.', 3: 'Education is vital in transmitting culture.', 4: 'Caffeine can also be very effective and is given by mouth.', 5: 'Apples have to be grafted onto other apples, pears to pears.', 6: 'Comets are bodies of ice, rock and organic compounds that can be several miles in diameter.', 7: 'King cobras swallow struggle prey.'}
| 6 |
5,348 |
['It is a fact that either cholesterol levels increase due to consumption of saturated fat and cholesterol or the claim that honeymoon isa holiday does not correspond with reality.', 'We know that the claim that exercise improves the immune system is false.', 'Either hate crime is sometimes a way to frighten other people who belong to the same group or either monomers are generally gases or liguids or vitamin E is one of the most potent fat-soluble antioxidants in the body.', 'Provided that either monomers are generally gases or liguids or vitamin E is one of the most potent fat-soluble antioxidants in the body, we know that the claim that cholesterol levels increase due to consumption of saturated fat and cholesterol has no merit.', 'Given that subcutaneous needles are like tiny thumbtacks, it can be inferred that exercise improves the immune system.', 'Once we know it is not true that if hate crime is sometimes a way to frighten other people who belong to the same group , then subcutaneous needles are like tiny thumbtacks, we also know that most stimulants produce effects.', 'Should it be the case that cigars contain significantly more nicotine, tar, and carbon monoxide than do cigarettes, it follows that the claim that most stimulants produce effects is false.', 'It is the case that cigars contain significantly more nicotine, tar, and carbon monoxide than do cigarettes.']
|
It is a fact that either cholesterol levels increase due to consumption of saturated fat and cholesterol or the claim that honeymoon isa holiday does not correspond with reality. We know that the claim that exercise improves the immune system is false. Either hate crime is sometimes a way to frighten other people who belong to the same group or either monomers are generally gases or liguids or vitamin E is one of the most potent fat-soluble antioxidants in the body. Provided that either monomers are generally gases or liguids or vitamin E is one of the most potent fat-soluble antioxidants in the body, we know that the claim that cholesterol levels increase due to consumption of saturated fat and cholesterol has no merit. Given that subcutaneous needles are like tiny thumbtacks, it can be inferred that exercise improves the immune system. Once we know it is not true that if hate crime is sometimes a way to frighten other people who belong to the same group , then subcutaneous needles are like tiny thumbtacks, we also know that most stimulants produce effects. Should it be the case that cigars contain significantly more nicotine, tar, and carbon monoxide than do cigarettes, it follows that the claim that most stimulants produce effects is false. It is the case that cigars contain significantly more nicotine, tar, and carbon monoxide than do cigarettes.
|
The claim that honeymoon isa holiday does not correspond with reality.
|
The claim that honeymoon isa holiday does not correspond with reality.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [3] or (Either [4] or [5].).
If [3], then [2]. [SC2-3]
If (Either [4] or [5].), then (Not [1].).
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Hypothetical Syllogism:
If [3], then [6]. [SC1-4]
If [6], then [2].
Therefore, If [3], then [2]..
[SC1-4]
Modus Tonens:
If (Not (If [3], then [6].).), then [7].
Not [7]. [SC2-5]
Therefore, If [3], then [6]..
[SC2-5]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
|
{0: 'Honeymoon isa holiday.', 1: 'Cholesterol levels increase due to consumption of saturated fat and cholesterol.', 2: 'Exercise improves the immune system.', 3: 'Hate crime is sometimes a way to frighten other people who belong to the same group .', 4: 'Monomers are generally gases or liguids.', 5: 'Vitamin E is one of the most potent fat-soluble antioxidants in the body.', 6: 'Subcutaneous needles are like tiny thumbtacks.', 7: 'Most stimulants produce effects.', 8: 'Cigars contain significantly more nicotine, tar, and carbon monoxide than do cigarettes.'}
| 6 |
5,686 |
['It is rational to believe that either duckweeds grow quickly and produce new offshoots rapidly or shanks are meaty leg joints that are perfect for braising.', 'On the condition that shanks are meaty leg joints that are perfect for braising, it is definitely the case that if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality.', 'If stress can cause headaches, too, then if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet.', "So long as some people mistakenly believe that if duckweeds grow quickly and produce new offshoots rapidly, then if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality, 'it is not the case that enjoyment is the bodily contemplation of the goodness of creation' is true.", 'Either progesterone is the hormone that stops growth and stimulates ripening or deer are native wildlife and are regulated by the Wildlife Code of Missouri.', 'One may reasonably assume that if progesterone is the hormone that stops growth and stimulates ripening, then stress can cause headaches, too.', 'Should it be the case that deer are native wildlife and are regulated by the Wildlife Code of Missouri, it follows that stress can cause headaches, too.', 'Either one or both of these statements are true: most birds has-part bones, or if some people mistakenly believe that if duckweeds grow quickly and produce new offshoots rapidly, then if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality, then enjoyment is the bodily contemplation of the goodness of creation.', 'It is not the case that most birds has-part bones.']
|
It is rational to believe that either duckweeds grow quickly and produce new offshoots rapidly or shanks are meaty leg joints that are perfect for braising. On the condition that shanks are meaty leg joints that are perfect for braising, it is definitely the case that if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality. If stress can cause headaches, too, then if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet. So long as some people mistakenly believe that if duckweeds grow quickly and produce new offshoots rapidly, then if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality, 'it is not the case that enjoyment is the bodily contemplation of the goodness of creation' is true. Either progesterone is the hormone that stops growth and stimulates ripening or deer are native wildlife and are regulated by the Wildlife Code of Missouri. One may reasonably assume that if progesterone is the hormone that stops growth and stimulates ripening, then stress can cause headaches, too. Should it be the case that deer are native wildlife and are regulated by the Wildlife Code of Missouri, it follows that stress can cause headaches, too. Either one or both of these statements are true: most birds has-part bones, or if some people mistakenly believe that if duckweeds grow quickly and produce new offshoots rapidly, then if if sand is located in trees, then space toilets use strong jets of air to blow wastes into a bag below the toilet, then the claim that most intestinal infection is caused by adult tapeworms does not correspond with reality, then enjoyment is the bodily contemplation of the goodness of creation. It is not the case that most birds has-part bones.
|
The claim that most intestinal infection is caused by adult tapeworms does not correspond with reality.
|
It is reasonable to believe that most intestinal infection is caused by adult tapeworms.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (If [1], then [2].), then (Not [0].).). [SC2-2]
If [4], then (If (If [1], then [2].), then (Not [0].).).
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (If [1], then [2].), then (Not [0].).).).), then [8]. [SC1-3]
If (Not (If [3], then (If (If [1], then [2].), then (Not [0].).).).), then (Not [8].).
Therefore, If [3], then (If (If [1], then [2].), then (Not [0].).)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If (Not (If [3], then (If (If [1], then [2].), then (Not [0].).).).), then [8].).
Not [9].
Therefore, If (Not (If [3], then (If (If [1], then [2].), then (Not [0].).).).), then [8]..
[SC2-1]
Modus Ponens:
If [5], then (If [1], then [2].).
[5] [SC2-2]
Therefore, If [1], then [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then [5].
If [7], then [5].
Therefore, [5].
|
{0: 'Most intestinal infection is caused by adult tapeworms.', 1: 'Sand is located in trees.', 2: 'Space toilets use strong jets of air to blow wastes into a bag below the toilet.', 3: 'Duckweeds grow quickly and produce new offshoots rapidly.', 4: 'Shanks are meaty leg joints that are perfect for braising.', 5: 'Stress can cause headaches, too.', 6: 'Progesterone is the hormone that stops growth and stimulates ripening.', 7: 'Deer are native wildlife and are regulated by the Wildlife Code of Missouri.', 8: 'Enjoyment is the bodily contemplation of the goodness of creation.', 9: 'Most birds has-part bones.'}
| 6 |
5,004 |
["If prosperity depends on the ability to evolve with financial stability , then baby teeth are susceptible to decay as soon as they appear in the infant's mouth.", 'One may reasonably assume that if the statement, if some people mistakenly believe that either milk is located in refrigerators or variables is a list of variables, then if real estate is the fourth investment category, and one in which many people have built wealth, then human space is divided in two empires, does not hold, then second wind is the mysterious concept that all runners at some point experience.', 'Those that suggest second wind is the mysterious concept that all runners at some point experience are wrong.', 'Either previous inflammation alters the response of the rat colon to stress or if if real estate is the fourth investment category, and one in which many people have built wealth, then human space is divided in two empires, then prosperity depends on the ability to evolve with financial stability .', 'Those that suggest previous inflammation alters the response of the rat colon to stress are wrong.', "One may reasonably assume that if it is not true that if prosperity depends on the ability to evolve with financial stability , then it is a common misconception that baby teeth are susceptible to decay as soon as they appear in the infant's mouth, then bicyclists are subject to the same laws and regulations as motor vehicles.", 'The statement, bicyclists are subject to the same laws and regulations as motor vehicles, does not hold.']
|
If prosperity depends on the ability to evolve with financial stability , then baby teeth are susceptible to decay as soon as they appear in the infant's mouth. One may reasonably assume that if the statement, if some people mistakenly believe that either milk is located in refrigerators or variables is a list of variables, then if real estate is the fourth investment category, and one in which many people have built wealth, then human space is divided in two empires, does not hold, then second wind is the mysterious concept that all runners at some point experience. Those that suggest second wind is the mysterious concept that all runners at some point experience are wrong. Either previous inflammation alters the response of the rat colon to stress or if if real estate is the fourth investment category, and one in which many people have built wealth, then human space is divided in two empires, then prosperity depends on the ability to evolve with financial stability . Those that suggest previous inflammation alters the response of the rat colon to stress are wrong. One may reasonably assume that if it is not true that if prosperity depends on the ability to evolve with financial stability , then it is a common misconception that baby teeth are susceptible to decay as soon as they appear in the infant's mouth, then bicyclists are subject to the same laws and regulations as motor vehicles. The statement, bicyclists are subject to the same laws and regulations as motor vehicles, does not hold.
|
At least one of two things is true: milk is located in refrigerators, or variables is a list of variables.
|
At least one of two things is true: most milk provides hormones, or variables are an essential part in every programming language.
|
Uncertain
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then (If [4], then [5].). [SC1-2]
If (If [4], then [5].), then [2]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then (If [4], then [5].).).), then [6].
Not [6].
Therefore, If (Not (Either [0] or [1].).), then (If [4], then [5].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (If [4], then [5].), then [2].).
Not [7].
Therefore, If (If [4], then [5].), then [2]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].). [SC2-2]
Therefore, Not [2]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [3].).).), then [8].
Not [8].
Therefore, If [2], then (Not [3].)..
|
{0: 'Milk is located in refrigerators.', 1: 'Variables is a list of variables.', 2: 'Prosperity depends on the ability to evolve with financial stability .', 3: "Baby teeth are susceptible to decay as soon as they appear in the infant's mouth.", 4: 'Real estate is the fourth investment category, and one in which many people have built wealth.', 5: 'Human space is divided in two empires.', 6: 'Second wind is the mysterious concept that all runners at some point experience.', 7: 'Previous inflammation alters the response of the rat colon to stress.', 8: 'Bicyclists are subject to the same laws and regulations as motor vehicles.'}
| 6 |
5,995 |
['Either wind direction is true wind direction accounting for the rotation of the tower during the year or encroachment means honoring and maintaining space.', "So long as wind direction is true wind direction accounting for the rotation of the tower during the year, 'death results from damage' is true.", "Whenever it is true that death results from damage, 'fitness trainers help goals' is true.", 'Assuming either doormats are located in doorways or geography isa science, we know that the claim that fitness trainers help goals does not reflect reality.', 'There is good reason to believe that either strength can be independent of weight or thickness or italian law forbids organisations that promote racial, ethnic and religious discrimination.', 'One may reasonably assume that if italian law forbids organisations that promote racial, ethnic and religious discrimination, then geography isa science.', 'Assuming the claim that if strength can be independent of weight or thickness, then doormats are located in doorways does not correspond with reality, we know that physicians say that such thickening precedes atherosclerosis, or hardening of the arteries.', 'Some people mistakenly believe that physicians say that such thickening precedes atherosclerosis, or hardening of the arteries.']
|
Either wind direction is true wind direction accounting for the rotation of the tower during the year or encroachment means honoring and maintaining space. So long as wind direction is true wind direction accounting for the rotation of the tower during the year, 'death results from damage' is true. Whenever it is true that death results from damage, 'fitness trainers help goals' is true. Assuming either doormats are located in doorways or geography isa science, we know that the claim that fitness trainers help goals does not reflect reality. There is good reason to believe that either strength can be independent of weight or thickness or italian law forbids organisations that promote racial, ethnic and religious discrimination. One may reasonably assume that if italian law forbids organisations that promote racial, ethnic and religious discrimination, then geography isa science. Assuming the claim that if strength can be independent of weight or thickness, then doormats are located in doorways does not correspond with reality, we know that physicians say that such thickening precedes atherosclerosis, or hardening of the arteries. Some people mistakenly believe that physicians say that such thickening precedes atherosclerosis, or hardening of the arteries.
|
Many people rightly believe that encroachment means honoring and maintaining space.
|
Many people rightly believe that encroachment means honoring and maintaining space.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [2].
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If (Either [4] or [5].), then (Not [2].).
Either [4] or [5]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [4]. [SC2-4]
If [7], then [5].
Therefore, Either [4] or [5]..
[SC2-4]
Modus Tonens:
If (Not (If [6], then [4].).), then [8].
Not [8].
Therefore, If [6], then [4]..
|
{0: 'Encroachment means honoring and maintaining space.', 1: 'Wind direction is true wind direction accounting for the rotation of the tower during the year.', 2: 'Fitness trainers help goals.', 3: 'Death results from damage.', 4: 'Doormats are located in doorways.', 5: 'Geography isa science.', 6: 'Strength can be independent of weight or thickness.', 7: 'Italian law forbids organisations that promote racial, ethnic and religious discrimination.', 8: 'Physicians say that such thickening precedes atherosclerosis, or hardening of the arteries.'}
| 6 |
5,463 |
['We know that either vary diets contain nutrients or oil of wintergreen is distilled from the leaves.', "Given that vary diets contain nutrients, it can be inferred that if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering.", "Provided that mint helps nausea, we know that if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then it is a common misconception that if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering.", 'mint helps nausea.', 'We know that either worms help soil or if boxers consume drinks, then many foods have artificial flavorings and colorings.', "On the condition that worms help soil, it is definitely the case that if the notion that 'if oil of wintergreen is distilled from the leaves, then if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering' is untrue, then an inflorescence is a flower.", "Assuming if boxers consume drinks, then many foods have artificial flavorings and colorings, we know that if the notion that 'if oil of wintergreen is distilled from the leaves, then if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering' is untrue, then an inflorescence is a flower.", 'One may reasonably assume that if an inflorescence is a flower, then many animals have skeletons to give their body structure and support.', "If an inflorescence is a flower, then the statement 'many animals have skeletons to give their body structure and support' can be considered false."]
|
We know that either vary diets contain nutrients or oil of wintergreen is distilled from the leaves. Given that vary diets contain nutrients, it can be inferred that if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering. Provided that mint helps nausea, we know that if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then it is a common misconception that if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering. mint helps nausea. We know that either worms help soil or if boxers consume drinks, then many foods have artificial flavorings and colorings. On the condition that worms help soil, it is definitely the case that if the notion that 'if oil of wintergreen is distilled from the leaves, then if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering' is untrue, then an inflorescence is a flower. Assuming if boxers consume drinks, then many foods have artificial flavorings and colorings, we know that if the notion that 'if oil of wintergreen is distilled from the leaves, then if the statement 'flower essences help break the patterns of attracting responses to our negative emotions' can be considered false, then if cancer cells are, in the human or animal body, in an inexhaustible supply, then electrical engineering are engineering' is untrue, then an inflorescence is a flower. One may reasonably assume that if an inflorescence is a flower, then many animals have skeletons to give their body structure and support. If an inflorescence is a flower, then the statement 'many animals have skeletons to give their body structure and support' can be considered false.
|
The idea that flower essences help break the patterns of attracting responses to our negative emotions is true.
|
Flower essences contain the life-force energy released from flowers in the peak of their bloom.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If (Not [0].), then (If [1], then [2].).).
If [5], then (If (Not [0].), then (If [1], then [2].).). [SC3-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If (Not [0].), then (If [1], then [2].).).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If [5], then (If (Not [0].), then (If [1], then [2].).)..
[SC1-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If (Not (If [5], then (If (Not [0].), then (If [1], then [2].).).).), then [6].).
If (If [9], then [10].), then (If (Not (If [5], then (If (Not [0].), then (If [1], then [2].).).).), then [6].).
Therefore, If (Not (If [5], then (If (Not [0].), then (If [1], then [2].).).).), then [6]..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not (If [1], then [2].).).).
[3]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
|
{0: 'Flower essences help break the patterns of attracting responses to our negative emotions.', 1: 'Cancer cells are, in the human or animal body, in an inexhaustible supply.', 2: 'Electrical engineering are engineering.', 3: 'Mint helps nausea.', 4: 'Vary diets contain nutrients.', 5: 'Oil of wintergreen is distilled from the leaves.', 6: 'An inflorescence is a flower.', 7: 'Many animals have skeletons to give their body structure and support.', 8: 'Worms help soil.', 9: 'Boxers consume drinks.', 10: 'Many foods have artificial flavorings and colorings.'}
| 6 |
5,776 |
['On the condition that the claim that bacteria are quite tough and can live just about anywhere does not reflect reality, it is definitely the case that poverty is the denial of all human rights.', 'One may reasonably assume that if wards have (part) cell membranes, then practical photography is possible from conditions of bright sunlight to night street lighting.', 'Should it be the case that practical photography is possible from conditions of bright sunlight to night street lighting, it follows that if bacteria are quite tough and can live just about anywhere, then either depth is extent or nutrients are moved inside a plant to where they are most needed.', 'We know that either indexes are important in that they allow for very rapid retrieval of data or black leopards are more common in areas with denser trees.', 'Should it be the case that indexes are important in that they allow for very rapid retrieval of data, it follows that wards have (part) cell membranes.', 'Should it be the case that black leopards are more common in areas with denser trees, it follows that wards have (part) cell membranes.', "So long as the claim that if the claim that bacteria are quite tough and can live just about anywhere does not reflect reality, then the statement 'poverty is the denial of all human rights' can be considered false has no merit, 'a chinook is wind' is true.", 'The statement that states a chinook is wind is false.']
|
On the condition that the claim that bacteria are quite tough and can live just about anywhere does not reflect reality, it is definitely the case that poverty is the denial of all human rights. One may reasonably assume that if wards have (part) cell membranes, then practical photography is possible from conditions of bright sunlight to night street lighting. Should it be the case that practical photography is possible from conditions of bright sunlight to night street lighting, it follows that if bacteria are quite tough and can live just about anywhere, then either depth is extent or nutrients are moved inside a plant to where they are most needed. We know that either indexes are important in that they allow for very rapid retrieval of data or black leopards are more common in areas with denser trees. Should it be the case that indexes are important in that they allow for very rapid retrieval of data, it follows that wards have (part) cell membranes. Should it be the case that black leopards are more common in areas with denser trees, it follows that wards have (part) cell membranes. So long as the claim that if the claim that bacteria are quite tough and can live just about anywhere does not reflect reality, then the statement 'poverty is the denial of all human rights' can be considered false has no merit, 'a chinook is wind' is true. The statement that states a chinook is wind is false.
|
It is a fact that either depth is extent or nutrients are moved inside a plant to where they are most needed.
|
It is a fact that either depth is extent or nutrients are moved inside a plant to where they are most needed.
|
TRUE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [4], then (If [2], then (Either [0] or [1].).). [SC1-2]
[4] [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Hypothetical Syllogism:
If [4], then [8].
If [8], then (If [2], then (Either [0] or [1].).).
Therefore, If [4], then (If [2], then (Either [0] or [1].).)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then [4].
If [6], then [4].
Therefore, [4].
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [3].
If (Not [2].), then (Not [3].). [SC2-2]
Therefore, [2].
[SC2-2]
Modus Tonens:
If (Not (If (Not [2].), then (Not [3].).).), then [7].
Not [7].
Therefore, If (Not [2].), then (Not [3].)..
|
{0: 'Depth is extent.', 1: 'Nutrients are moved inside a plant to where they are most needed.', 2: 'Bacteria are quite tough and can live just about anywhere.', 3: 'Poverty is the denial of all human rights.', 4: 'Wards have (part) cell membranes.', 5: 'Indexes are important in that they allow for very rapid retrieval of data.', 6: 'Black leopards are more common in areas with denser trees.', 7: 'A chinook is wind.', 8: 'Practical photography is possible from conditions of bright sunlight to night street lighting.'}
| 6 |
5,682 |
['It is not the case that most tasmanian pademelons graze on low grow plants.', 'When if coffee is a dialogic form, then canaries have (part) corpi is true, it follows that if some iberian lynxes have time, then most tasmanian pademelons graze on low grow plants.', 'Should it be the case that infantile dacryocystitis is uncommon but presents with the same signs and symptoms, it follows that if honey combines well with spices, such as curry or hot peppers, then if some iberian lynxes have time, then most tasmanian pademelons graze on low grow plants.', 'It is reasonable to believe that infantile dacryocystitis is uncommon but presents with the same signs and symptoms.', 'There is good reason to believe that either jamaican cuisine is varied or coronary calcification can be an indicator of atherosclerosis.', 'On the condition that jamaican cuisine is varied, it is definitely the case that if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar.', 'Should it be the case that coronary calcification can be an indicator of atherosclerosis, it follows that either if coffee is a dialogic form, then canaries have (part) corpi or honey combines well with spices, such as curry or hot peppers.', 'We know that either either culture focuses on term growth or buffalo are in large numbers today or hexane is liquids.', "Assuming either culture focuses on term growth or buffalo are in large numbers today, we know that the statement 'if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar' can be considered false.", "Once we know hexane is liquids, we also know that the statement 'if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar' can be considered false."]
|
It is not the case that most tasmanian pademelons graze on low grow plants. When if coffee is a dialogic form, then canaries have (part) corpi is true, it follows that if some iberian lynxes have time, then most tasmanian pademelons graze on low grow plants. Should it be the case that infantile dacryocystitis is uncommon but presents with the same signs and symptoms, it follows that if honey combines well with spices, such as curry or hot peppers, then if some iberian lynxes have time, then most tasmanian pademelons graze on low grow plants. It is reasonable to believe that infantile dacryocystitis is uncommon but presents with the same signs and symptoms. There is good reason to believe that either jamaican cuisine is varied or coronary calcification can be an indicator of atherosclerosis. On the condition that jamaican cuisine is varied, it is definitely the case that if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar. Should it be the case that coronary calcification can be an indicator of atherosclerosis, it follows that either if coffee is a dialogic form, then canaries have (part) corpi or honey combines well with spices, such as curry or hot peppers. We know that either either culture focuses on term growth or buffalo are in large numbers today or hexane is liquids. Assuming either culture focuses on term growth or buffalo are in large numbers today, we know that the statement 'if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar' can be considered false. Once we know hexane is liquids, we also know that the statement 'if lupus occurs mainly in young women, particularly during childbearing years, then fruit juice has sugar' can be considered false.
|
The notion that 'some iberian lynxes have time' is untrue.
|
The claim that some iberian lynxes have time is true.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-2]
If (If [2], then [3].), then (If [0], then [1].).
If [4], then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either (If [2], then [3].) or [4].). [SC1-3]
Not (If [5], then [6].). [SC2-3]
Therefore, Either (If [2], then [3].) or [4]..
[SC1-3]
Constructive Dilemma:
Either [11] or [12].
If [11], then (If [5], then [6].).
If [12], then (Either (If [2], then [3].) or [4].).
Therefore, Either (If [5], then [6].) or (Either (If [2], then [3].) or [4].)..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (Not (If [5], then [6].).).
If [10], then (Not (If [5], then [6].).).
Therefore, Not (If [5], then [6].)..
[SC3-2]
Modus Ponens:
If [7], then (If [4], then (If [0], then [1].).).
[7]
Therefore, If [4], then (If [0], then [1].)..
|
{0: 'Some iberian lynxes have time.', 1: 'Most tasmanian pademelons graze on low grow plants.', 2: 'Coffee is a dialogic form.', 3: 'Canaries have (part) corpi.', 4: 'Honey combines well with spices, such as curry or hot peppers.', 5: 'Lupus occurs mainly in young women, particularly during childbearing years.', 6: 'Fruit juice has sugar.', 7: 'Infantile dacryocystitis is uncommon but presents with the same signs and symptoms.', 8: 'Culture focuses on term growth.', 9: 'Buffalo are in large numbers today.', 10: 'Hexane is liquids.', 11: 'Jamaican cuisine is varied.', 12: 'Coronary calcification can be an indicator of atherosclerosis.'}
| 6 |
5,879 |
["The statement 'covalent radii are in parentheses' can be considered false.", 'It is a fact that either a flotation device is a float or most solitary animals have ranges.', 'Given that a flotation device is a float, it can be inferred that either all animals exhibit six common behavioral patterns in a stereotypical manner or most leaves have smooth texture.', "Whenever it is true that most solitary animals have ranges, 'either all animals exhibit six common behavioral patterns in a stereotypical manner or most leaves have smooth texture' is true.", 'Either one or both of these statements are true: triglyceride has (part) chemical chain, or most fungi cause serious damage.', "So long as the claim that if most leaves have smooth texture, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false does not reflect reality, 'science is the first sin, seed of all sin, the original sin' is true.", 'The statement, science is the first sin, seed of all sin, the original sin, does not hold.', 'Should it be the case that the statement that states if either triglyceride has (part) chemical chain or most fungi cause serious damage, then if all animals exhibit six common behavioral patterns in a stereotypical manner, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false is false, it follows that poppy orange is the standard inventory color for rack beams.', 'Provided that the statement that states if either triglyceride has (part) chemical chain or most fungi cause serious damage, then if all animals exhibit six common behavioral patterns in a stereotypical manner, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false is false, we know that the statement that states poppy orange is the standard inventory color for rack beams is false.']
|
The statement 'covalent radii are in parentheses' can be considered false. It is a fact that either a flotation device is a float or most solitary animals have ranges. Given that a flotation device is a float, it can be inferred that either all animals exhibit six common behavioral patterns in a stereotypical manner or most leaves have smooth texture. Whenever it is true that most solitary animals have ranges, 'either all animals exhibit six common behavioral patterns in a stereotypical manner or most leaves have smooth texture' is true. Either one or both of these statements are true: triglyceride has (part) chemical chain, or most fungi cause serious damage. So long as the claim that if most leaves have smooth texture, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false does not reflect reality, 'science is the first sin, seed of all sin, the original sin' is true. The statement, science is the first sin, seed of all sin, the original sin, does not hold. Should it be the case that the statement that states if either triglyceride has (part) chemical chain or most fungi cause serious damage, then if all animals exhibit six common behavioral patterns in a stereotypical manner, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false is false, it follows that poppy orange is the standard inventory color for rack beams. Provided that the statement that states if either triglyceride has (part) chemical chain or most fungi cause serious damage, then if all animals exhibit six common behavioral patterns in a stereotypical manner, then either covalent radii are in parentheses or the statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false is false, we know that the statement that states poppy orange is the standard inventory color for rack beams is false.
|
The statement that states if wing loadings is loadings, then ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry is false.
|
Whenever it is true that wing loadings is loadings, 'ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry' is true.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).). [SC1-1]
Not [2].
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Either [2] or (Not (If [0], then [1].).).). [SC2-2]
If [4], then (Either [2] or (Not (If [0], then [1].).).). [SC3-2]
Therefore, Either [2] or (Not (If [0], then [1].).)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].).
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC2-2]
Modus Ponens:
If (Either [8] or [9].), then (If [3], then (Either [2] or (Not (If [0], then [1].).).).). [SC1-3]
Either [8] or [9].
Therefore, If [3], then (Either [2] or (Not (If [0], then [1].).).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [8] or [9].), then (If [3], then (Either [2] or (Not (If [0], then [1].).).).).).), then [10].
If (Not (If (Either [8] or [9].), then (If [3], then (Either [2] or (Not (If [0], then [1].).).).).).), then (Not [10].).
Therefore, If (Either [8] or [9].), then (If [3], then (Either [2] or (Not (If [0], then [1].).).).)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (Either [2] or (Not (If [0], then [1].).).).).), then [5].
Not [5].
Therefore, If [4], then (Either [2] or (Not (If [0], then [1].).).)..
|
{0: 'Wing loadings is loadings.', 1: 'Ballads introduce children to the themes of literature and turn their ears to the rhythms of poetry.', 2: 'Covalent radii are in parentheses.', 3: 'All animals exhibit six common behavioral patterns in a stereotypical manner.', 4: 'Most leaves have smooth texture.', 5: 'Science is the first sin, seed of all sin, the original sin.', 6: 'A flotation device is a float.', 7: 'Most solitary animals have ranges.', 8: 'Triglyceride has (part) chemical chain.', 9: 'Most fungi cause serious damage.', 10: 'Poppy orange is the standard inventory color for rack beams.'}
| 6 |
5,517 |
['If we know that the claim that athletes learn breathe patterns is false, then it is a common misconception that impotence can be the result of multipule problems.', 'We know that at least one of two things is true: action research is a methodology whose flexibility allows learning and responsiveness, or if we know that the claim that athletes learn breathe patterns is false, then impotence can be the result of multipule problems.', 'Should it be the case that stress can affect our work, health, relationships and, most importantly, our peace of mind, it follows that the statement that states action research is a methodology whose flexibility allows learning and responsiveness is false.', 'Either wireless phones are small enough to fit in our pockets and purses or stress can affect our work, health, relationships and, most importantly, our peace of mind.', "The statement that 'depression is a very common mental disorder' is incorrect.", 'Once we know we know that the claim that either depression is a very common mental disorder or the claim that wireless phones are small enough to fit in our pockets and purses does not reflect reality is false, we also know that physicians perform surgery.', "The statement that 'physicians perform surgery' is incorrect."]
|
If we know that the claim that athletes learn breathe patterns is false, then it is a common misconception that impotence can be the result of multipule problems. We know that at least one of two things is true: action research is a methodology whose flexibility allows learning and responsiveness, or if we know that the claim that athletes learn breathe patterns is false, then impotence can be the result of multipule problems. Should it be the case that stress can affect our work, health, relationships and, most importantly, our peace of mind, it follows that the statement that states action research is a methodology whose flexibility allows learning and responsiveness is false. Either wireless phones are small enough to fit in our pockets and purses or stress can affect our work, health, relationships and, most importantly, our peace of mind. The statement that 'depression is a very common mental disorder' is incorrect. Once we know we know that the claim that either depression is a very common mental disorder or the claim that wireless phones are small enough to fit in our pockets and purses does not reflect reality is false, we also know that physicians perform surgery. The statement that 'physicians perform surgery' is incorrect.
|
The idea that athletes learn breathe patterns is true.
|
The idea that athletes learn breathe patterns 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].).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or [3].
Not [4]. [SC2-4]
Therefore, [3].
[SC2-4]
Disjunctive Syllogism:
Either [5] or (Not [4].). [SC1-5]
Not [5].
Therefore, Not [4]..
[SC1-5]
Modus Tonens:
If (Not (Either [5] or (Not [4].).).), then [6].
Not [6].
Therefore, Either [5] or (Not [4].)..
|
{0: 'Athletes learn breathe patterns.', 1: 'Impotence can be the result of multipule problems.', 2: 'Action research is a methodology whose flexibility allows learning and responsiveness.', 3: 'Stress can affect our work, health, relationships and, most importantly, our peace of mind.', 4: 'Wireless phones are small enough to fit in our pockets and purses.', 5: 'Depression is a very common mental disorder.', 6: 'Physicians perform surgery.'}
| 6 |
5,573 |
["If the notion that 'if stromal cells mediate retinoid-dependent functions essential for renal development, then wood has purposes' is untrue, then puppies have swell tummies.", "Once we know development is an important characteristic of living things, we also know that if the notion that 'if stromal cells mediate retinoid-dependent functions essential for renal development, then wood has purposes' is untrue, then the statement, puppies have swell tummies, does not hold.", 'On the condition that some dogs have outbreaks, it is definitely the case that moisture blocks Moisture blocks also show soil moisture.', 'On the condition that it is not true that if the claim that development is an important characteristic of living things has no merit, then the claim that moisture blocks Moisture blocks also show soil moisture is false, it is definitely the case that some wood frogs remain in states.', 'It is not true that some wood frogs remain in states.', 'Either one or both of these statements are true: if producers make organic nutrients which are transferred to consumers when the plants are eaten, then most tiny creatures adapt lifestyle, or if the claim that development is an important characteristic of living things has no merit, then some dogs have outbreaks.', 'It is a common misconception that if producers make organic nutrients which are transferred to consumers when the plants are eaten, then most tiny creatures adapt lifestyle.']
|
If the notion that 'if stromal cells mediate retinoid-dependent functions essential for renal development, then wood has purposes' is untrue, then puppies have swell tummies. Once we know development is an important characteristic of living things, we also know that if the notion that 'if stromal cells mediate retinoid-dependent functions essential for renal development, then wood has purposes' is untrue, then the statement, puppies have swell tummies, does not hold. On the condition that some dogs have outbreaks, it is definitely the case that moisture blocks Moisture blocks also show soil moisture. On the condition that it is not true that if the claim that development is an important characteristic of living things has no merit, then the claim that moisture blocks Moisture blocks also show soil moisture is false, it is definitely the case that some wood frogs remain in states. It is not true that some wood frogs remain in states. Either one or both of these statements are true: if producers make organic nutrients which are transferred to consumers when the plants are eaten, then most tiny creatures adapt lifestyle, or if the claim that development is an important characteristic of living things has no merit, then some dogs have outbreaks. It is a common misconception that if producers make organic nutrients which are transferred to consumers when the plants are eaten, then most tiny creatures adapt lifestyle.
|
One may reasonably assume that if stromal cells mediate retinoid-dependent functions essential for renal development, then wood has purposes.
|
So long as stromal cells mediate retinoid-dependent functions essential for renal development, 'wood can rot out and is slippery when wet' is true.
|
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 [3], then (If (Not (If [0], then [1].).), then (Not [2].).).
[3] [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [4]. [SC1-3]
If (Not [3].), then (Not [4].). [SC2-3]
Therefore, [3].
[SC1-3]
Hypothetical Syllogism:
If (Not [3].), then [5]. [SC1-4]
If [5], then [4].
Therefore, If (Not [3].), then [4]..
[SC1-4]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not [3].), then [5].).
Not (If [7], then [8].).
Therefore, If (Not [3].), then [5]..
[SC2-3]
Modus Tonens:
If (Not (If (Not [3].), then (Not [4].).).), then [6].
Not [6].
Therefore, If (Not [3].), then (Not [4].)..
|
{0: 'Stromal cells mediate retinoid-dependent functions essential for renal development.', 1: 'Wood has purposes.', 2: 'Puppies have swell tummies.', 3: 'Development is an important characteristic of living things.', 4: 'Moisture blocks Moisture blocks also show soil moisture.', 5: 'Some dogs have outbreaks.', 6: 'Some wood frogs remain in states.', 7: 'Producers make organic nutrients which are transferred to consumers when the plants are eaten.', 8: 'Most tiny creatures adapt lifestyle.'}
| 6 |
5,793 |
['It is reasonable to believe that dermatophytosis is probably the most common superficial fungal infection of the skin.', 'Should it be the case that the statement, if the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then institutes lists a series of research institutes related to climate and global change, does not hold, it follows that either pi deficiencies affect development or people experience difficulty when they try to get along with other people.', 'Assuming the statement, if the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then institutes lists a series of research institutes related to climate and global change, does not hold, we know that it is not true that either pi deficiencies affect development or people experience difficulty when they try to get along with other people.', 'If the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then therapists usually see infants when atypical movement patterns have been used for many months.', "Whenever it is true that therapists usually see infants when atypical movement patterns have been used for many months, 'the claim that institutes lists a series of research institutes related to climate and global change does not reflect reality' is true.", 'On the condition that the claim that if dermatophytosis is probably the most common superficial fungal infection of the skin, then the statement that states robbers may have effects is false does not reflect reality, it is definitely the case that blue eyes are disqualifications.', 'We know that the claim that blue eyes are disqualifications is false.']
|
It is reasonable to believe that dermatophytosis is probably the most common superficial fungal infection of the skin. Should it be the case that the statement, if the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then institutes lists a series of research institutes related to climate and global change, does not hold, it follows that either pi deficiencies affect development or people experience difficulty when they try to get along with other people. Assuming the statement, if the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then institutes lists a series of research institutes related to climate and global change, does not hold, we know that it is not true that either pi deficiencies affect development or people experience difficulty when they try to get along with other people. If the statement, if infections often result from implantation of an infected splinter or other trauma, then robbers may have effects, does not hold, then therapists usually see infants when atypical movement patterns have been used for many months. Whenever it is true that therapists usually see infants when atypical movement patterns have been used for many months, 'the claim that institutes lists a series of research institutes related to climate and global change does not reflect reality' is true. On the condition that the claim that if dermatophytosis is probably the most common superficial fungal infection of the skin, then the statement that states robbers may have effects is false does not reflect reality, it is definitely the case that blue eyes are disqualifications. We know that the claim that blue eyes are disqualifications is false.
|
It is a common misconception that infections often result from implantation of an infected splinter or other trauma.
|
The claim that infection occurs when a feeding sand fly deposits metacyclic promastigotes into the dermis does not correspond with reality.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Either [5] or [6].).
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not (Either [5] or [6].).).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [4].
If [4], then (Not [2].).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].). [SC1-2]
[3]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then [7].
Not [7].
Therefore, If [3], then (Not [1].)..
|
{0: 'Infections often result from implantation of an infected splinter or other trauma.', 1: 'Robbers may have effects.', 2: 'Institutes lists a series of research institutes related to climate and global change.', 3: 'Dermatophytosis is probably the most common superficial fungal infection of the skin.', 4: 'Therapists usually see infants when atypical movement patterns have been used for many months.', 5: 'Pi deficiencies affect development.', 6: 'People experience difficulty when they try to get along with other people.', 7: 'Blue eyes are disqualifications.'}
| 6 |
5,893 |
['It is rational to believe that either drug therapy helps control the signs and symptoms and prevent HF progression or some companies sell animals.', 'When some companies sell animals is true, it follows that some people mistakenly believe that most remora fish eat small plankton.', "If either foods have different nutritional values, but there are no forbidden foods or some elk live in mountains, then if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then religion is the relationship with the absolute.", 'Either one or both of these statements are true: foods have different nutritional values, but there are no forbidden foods, or some elk live in mountains.', "On the condition that we know that the claim that if those that suggest if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then it is not the case that religion is the relationship with the absolute are wrong, then habitats play important roles is false, it is definitely the case that if bioluminescence is chemiluminescences, then foxes also have a hair-raising scream that sounds like cats fighting.", "The notion that 'if bioluminescence is chemiluminescences, then foxes also have a hair-raising scream that sounds like cats fighting' is untrue.", "Provided that those that suggest if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then it is not the case that religion is the relationship with the absolute are wrong, we know that influenza is spread easily by coughing and sneezing.", "Whenever it is true that influenza is spread easily by coughing and sneezing, 'the claim that habitats play important roles does not reflect reality' is true."]
|
It is rational to believe that either drug therapy helps control the signs and symptoms and prevent HF progression or some companies sell animals. When some companies sell animals is true, it follows that some people mistakenly believe that most remora fish eat small plankton. If either foods have different nutritional values, but there are no forbidden foods or some elk live in mountains, then if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then religion is the relationship with the absolute. Either one or both of these statements are true: foods have different nutritional values, but there are no forbidden foods, or some elk live in mountains. On the condition that we know that the claim that if those that suggest if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then it is not the case that religion is the relationship with the absolute are wrong, then habitats play important roles is false, it is definitely the case that if bioluminescence is chemiluminescences, then foxes also have a hair-raising scream that sounds like cats fighting. The notion that 'if bioluminescence is chemiluminescences, then foxes also have a hair-raising scream that sounds like cats fighting' is untrue. Provided that those that suggest if the statement that 'if drug therapy helps control the signs and symptoms and prevent HF progression, then some people mistakenly believe that most remora fish eat small plankton' is incorrect, then it is not the case that religion is the relationship with the absolute are wrong, we know that influenza is spread easily by coughing and sneezing. Whenever it is true that influenza is spread easily by coughing and sneezing, 'the claim that habitats play important roles does not reflect reality' is true.
|
Some people mistakenly believe that most remora fish eat small plankton.
|
Some people mistakenly believe that most remora fish eat small plankton.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [3]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [3].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If (Not (If [1], then (Not [0].).).), then [3].).
Either [5] or [6].
Therefore, If (Not (If [1], then (Not [0].).).), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then (Not [4].). [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [3].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then [4].).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then [7].
If [7], then (Not [4].).
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then (Not [3].).).), then (Not [4].)..
|
{0: 'Most remora fish eat small plankton.', 1: 'Drug therapy helps control the signs and symptoms and prevent HF progression.', 2: 'Some companies sell animals.', 3: 'Religion is the relationship with the absolute.', 4: 'Habitats play important roles.', 5: 'Foods have different nutritional values, but there are no forbidden foods.', 6: 'Some elk live in mountains.', 7: 'Influenza is spread easily by coughing and sneezing.', 8: 'Bioluminescence is chemiluminescences.', 9: 'Foxes also have a hair-raising scream that sounds like cats fighting.'}
| 6 |
5,534 |
['When the claim that beaver fur has long shiny guard hairs that repel water does not reflect reality is true, it follows that it is not the case that commercial banks serve as the primary outlets for government backed financing.', 'If earthquakes destroy neighbor areas, then if the claim that beaver fur has long shiny guard hairs that repel water does not reflect reality, then commercial banks serve as the primary outlets for government backed financing.', 'It is reasonable to believe that wet prairies have excellent farming soil.', 'We know that at least one of two things is true: eyes have vision, or the claim that nature is always in harmony and balance has no merit.', "The notion that 'eyes have vision' is untrue.", "So long as wet prairies have excellent farming soil, 'larvae undergo complete transformation' is true.", 'Assuming larvae undergo complete transformation, we know that if the statement that states earthquakes destroy neighbor areas is false, then nature is always in harmony and balance.']
|
When the claim that beaver fur has long shiny guard hairs that repel water does not reflect reality is true, it follows that it is not the case that commercial banks serve as the primary outlets for government backed financing. If earthquakes destroy neighbor areas, then if the claim that beaver fur has long shiny guard hairs that repel water does not reflect reality, then commercial banks serve as the primary outlets for government backed financing. It is reasonable to believe that wet prairies have excellent farming soil. We know that at least one of two things is true: eyes have vision, or the claim that nature is always in harmony and balance has no merit. The notion that 'eyes have vision' is untrue. So long as wet prairies have excellent farming soil, 'larvae undergo complete transformation' is true. Assuming larvae undergo complete transformation, we know that if the statement that states earthquakes destroy neighbor areas is false, then nature is always in harmony and balance.
|
Many people rightly believe that beaver fur has long shiny guard hairs that repel water.
|
Beaver fur is soft and shiny, and it wears well.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Modus Ponens:
If [4], then (If (Not [2].), then [3].). [SC1-4]
[4]
Therefore, If (Not [2].), then [3]..
[SC1-4]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (If (Not [2].), then [3].).
Therefore, If [4], then (If (Not [2].), then [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [3].).
Not [5].
Therefore, Not [3]..
|
{0: 'Beaver fur has long shiny guard hairs that repel water.', 1: 'Commercial banks serve as the primary outlets for government backed financing.', 2: 'Earthquakes destroy neighbor areas.', 3: 'Nature is always in harmony and balance.', 4: 'Wet prairies have excellent farming soil.', 5: 'Eyes have vision.', 6: 'Larvae undergo complete transformation.'}
| 6 |
5,903 |
['Once we know some people mistakenly believe that tantalum carbide is one of the hardest materials ever made, we also know that a wrist watch is a watch.', 'The statement that states container ships are ships is right.', 'If we know that the claim that if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then if radiation is used in the majority of cancer patients, then some ovary walls become layers is false, then some liquids drive turbines.', 'It is a fact that either weather affects survival or cases require more thorough investigations.', 'If weather affects survival, then if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then the claim that if radiation is used in the majority of cancer patients, then some ovary walls become layers does not reflect reality.', "Whenever it is true that cases require more thorough investigations, 'if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then the claim that if radiation is used in the majority of cancer patients, then some ovary walls become layers does not reflect reality' is true.", "Whenever it is true that some liquids drive turbines, 'some researchers release beetles' is true.", 'It is not the case that some researchers release beetles.']
|
Once we know some people mistakenly believe that tantalum carbide is one of the hardest materials ever made, we also know that a wrist watch is a watch. The statement that states container ships are ships is right. If we know that the claim that if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then if radiation is used in the majority of cancer patients, then some ovary walls become layers is false, then some liquids drive turbines. It is a fact that either weather affects survival or cases require more thorough investigations. If weather affects survival, then if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then the claim that if radiation is used in the majority of cancer patients, then some ovary walls become layers does not reflect reality. Whenever it is true that cases require more thorough investigations, 'if the statement, if container ships are ships, then those that suggest a wrist watch is a watch are wrong, does not hold, then the claim that if radiation is used in the majority of cancer patients, then some ovary walls become layers does not reflect reality' is true. Whenever it is true that some liquids drive turbines, 'some researchers release beetles' is true. It is not the case that some researchers release beetles.
|
The idea that tantalum carbide is one of the hardest materials ever made is true.
|
The claim that tantalum carbide is one of the hardest materials ever made does not correspond with reality.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [1].).).), then (If [3], then [4].). [SC1-3]
If (Not (If [2], then (Not [1].).).), then (Not (If [3], then [4].).). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then (Not [1].).).), then (If [3], then [4].).).), then [7].
Not [7]. [SC2-4]
Therefore, If (Not (If [2], then (Not [1].).).), then (If [3], then [4].)..
[SC2-4]
Modus Tonens:
If [7], then [8].
Not [8].
Therefore, Not [7]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [2], then (Not [1].).).), then (Not (If [3], then [4].).).).
If [6], then (If (Not (If [2], then (Not [1].).).), then (Not (If [3], then [4].).).).
Therefore, If (Not (If [2], then (Not [1].).).), then (Not (If [3], then [4].).)..
|
{0: 'Tantalum carbide is one of the hardest materials ever made.', 1: 'A wrist watch is a watch.', 2: 'Container ships are ships.', 3: 'Radiation is used in the majority of cancer patients.', 4: 'Some ovary walls become layers.', 5: 'Weather affects survival.', 6: 'Cases require more thorough investigations.', 7: 'Some liquids drive turbines.', 8: 'Some researchers release beetles.'}
| 6 |
5,276 |
['Should it be the case that the statement that states if fairy rings are actually a result of mushroom growth, then marine life is also varied is false, it follows that it is not the case that ozone can also cause damage to crops, painting, and plastic products such as tires.', 'It is a fact that either pumpkins are edibles or some truffles rely on small animals.', 'If pumpkins are edibles, then fairy rings are actually a result of mushroom growth.', 'When some truffles rely on small animals is true, it follows that fairy rings are actually a result of mushroom growth.', 'If some oleanders help cancer, then if farmers also add salt and vitamins to a pig diet, then if the statement that states if fairy rings are actually a result of mushroom growth, then marine life is also varied is false, then ozone can also cause damage to crops, painting, and plastic products such as tires.', 'The claim that some oleanders help cancer is true.', 'Should it be the case that those that suggest farmers also add salt and vitamins to a pig diet are wrong, it follows that most muscles contain fiber.', "The statement that 'most muscles contain fiber' is incorrect."]
|
Should it be the case that the statement that states if fairy rings are actually a result of mushroom growth, then marine life is also varied is false, it follows that it is not the case that ozone can also cause damage to crops, painting, and plastic products such as tires. It is a fact that either pumpkins are edibles or some truffles rely on small animals. If pumpkins are edibles, then fairy rings are actually a result of mushroom growth. When some truffles rely on small animals is true, it follows that fairy rings are actually a result of mushroom growth. If some oleanders help cancer, then if farmers also add salt and vitamins to a pig diet, then if the statement that states if fairy rings are actually a result of mushroom growth, then marine life is also varied is false, then ozone can also cause damage to crops, painting, and plastic products such as tires. The claim that some oleanders help cancer is true. Should it be the case that those that suggest farmers also add salt and vitamins to a pig diet are wrong, it follows that most muscles contain fiber. The statement that 'most muscles contain fiber' is incorrect.
|
It is rational to agree that marine life is also varied.
|
It is rational to agree that marine life is also varied.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If [1], then [0].).), then [2].). [SC1-3]
[5] [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Modus Ponens:
If [7], then (If [5], then (If (Not (If [1], then [0].).), then [2].).).
[7]
Therefore, If [5], then (If (Not (If [1], then [0].).), then [2].)..
[SC2-3]
Modus Tonens:
If (Not [5].), then [6].
Not [6].
Therefore, [5].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1].
If [4], then [1].
Therefore, [1].
|
{0: 'Marine life is also varied.', 1: 'Fairy rings are actually a result of mushroom growth.', 2: 'Ozone can also cause damage to crops, painting, and plastic products such as tires.', 3: 'Pumpkins are edibles.', 4: 'Some truffles rely on small animals.', 5: 'Farmers also add salt and vitamins to a pig diet.', 6: 'Most muscles contain fiber.', 7: 'Some oleanders help cancer.'}
| 6 |
5,284 |
['Either such behavior indicates roles or some toxic compounds find in leaves.', "If the statement that states if either such behavior indicates roles or some toxic compounds find in leaves, then the notion that 'some marine decapods have salinity' is untrue is false, then either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies.", 'It is a fact that either shells are prized because of their inner, iridescent layer or men have larger brains than women because they have larger heads.', 'We know that at least one of two things is true: primary secretion is modified by duct cells which add potassium bicarbonate and remove sodium, or if shells are prized because of their inner, iridescent layer, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies.', 'It is a common misconception that primary secretion is modified by duct cells which add potassium bicarbonate and remove sodium.', 'It is a fact that either teaching is a complex, people-centered profession or children invariably desire to become grown-up adults.', 'On the condition that children invariably desire to become grown-up adults, it is definitely the case that if men have larger brains than women because they have larger heads, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies.', 'When some uniforms are worn by soldiers is true, it follows that if teaching is a complex, people-centered profession, then if men have larger brains than women because they have larger heads, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies.', 'It is a simple truth that some uniforms are worn by soldiers.']
|
Either such behavior indicates roles or some toxic compounds find in leaves. If the statement that states if either such behavior indicates roles or some toxic compounds find in leaves, then the notion that 'some marine decapods have salinity' is untrue is false, then either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies. It is a fact that either shells are prized because of their inner, iridescent layer or men have larger brains than women because they have larger heads. We know that at least one of two things is true: primary secretion is modified by duct cells which add potassium bicarbonate and remove sodium, or if shells are prized because of their inner, iridescent layer, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies. It is a common misconception that primary secretion is modified by duct cells which add potassium bicarbonate and remove sodium. It is a fact that either teaching is a complex, people-centered profession or children invariably desire to become grown-up adults. On the condition that children invariably desire to become grown-up adults, it is definitely the case that if men have larger brains than women because they have larger heads, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies. When some uniforms are worn by soldiers is true, it follows that if teaching is a complex, people-centered profession, then if men have larger brains than women because they have larger heads, then it is not the case that either courier is a monospaced font, which means that every character is exactly as wide as every other or foots are part of bodies. It is a simple truth that some uniforms are worn by soldiers.
|
The notion that 'some marine decapods have salinity' is untrue.
|
The notion that 'some marine decapods have salinity' is untrue.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].). [SC1-1]
Either [1] or [2].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If (Either [1] or [2].), then (Not [0].).).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not (Either [3] or [4].).). [SC2-3]
If [6], then (Not (Either [3] or [4].).). [SC3-3]
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If [5], then (Not (Either [3] or [4].).).).
Not [7].
Therefore, If [5], then (Not (Either [3] or [4].).)..
[SC3-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (Not (Either [3] or [4].).).). [SC2-4]
If [9], then (If [6], then (Not (Either [3] or [4].).).).
Therefore, If [6], then (Not (Either [3] or [4].).)..
[SC2-4]
Modus Ponens:
If [10], then (If [8], then (If [6], then (Not (Either [3] or [4].).).).).
[10]
Therefore, If [8], then (If [6], then (Not (Either [3] or [4].).).)..
|
{0: 'Some marine decapods have salinity.', 1: 'Such behavior indicates roles.', 2: 'Some toxic compounds find in leaves.', 3: 'Courier is a monospaced font, which means that every character is exactly as wide as every other.', 4: 'Foots are part of bodies.', 5: 'Shells are prized because of their inner, iridescent layer.', 6: 'Men have larger brains than women because they have larger heads.', 7: 'Primary secretion is modified by duct cells which add potassium bicarbonate and remove sodium.', 8: 'Teaching is a complex, people-centered profession.', 9: 'Children invariably desire to become grown-up adults.', 10: 'Some uniforms are worn by soldiers.'}
| 6 |
5,470 |
['Either heads refer to leadership, to governments and to ruling or children become obese adults.', 'The claim that weed control improves the appearance and reduces the mowing needs of centipedegrass lawns does not correspond with reality.', 'Once we know most obesity causes serious medical issues, we also know that if children become obese adults, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction.', 'The claim that dopamine is associated with pleasure and a sense of alertness has no merit.', 'We know that at least one of two things is true: industrial hygiene is both a science and an art, or most obesity causes serious medical issues.', 'It is not the case that industrial hygiene is both a science and an art.', 'On the condition that it is not true that either dopamine is associated with pleasure and a sense of alertness or either weed control improves the appearance and reduces the mowing needs of centipedegrass lawns or if heads refer to leadership, to governments and to ruling, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction, it is definitely the case that a crony is a friend.', 'Should it be the case that it is not true that either dopamine is associated with pleasure and a sense of alertness or either weed control improves the appearance and reduces the mowing needs of centipedegrass lawns or if heads refer to leadership, to governments and to ruling, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction, it follows that it is not the case that a crony is a friend.']
|
Either heads refer to leadership, to governments and to ruling or children become obese adults. The claim that weed control improves the appearance and reduces the mowing needs of centipedegrass lawns does not correspond with reality. Once we know most obesity causes serious medical issues, we also know that if children become obese adults, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction. The claim that dopamine is associated with pleasure and a sense of alertness has no merit. We know that at least one of two things is true: industrial hygiene is both a science and an art, or most obesity causes serious medical issues. It is not the case that industrial hygiene is both a science and an art. On the condition that it is not true that either dopamine is associated with pleasure and a sense of alertness or either weed control improves the appearance and reduces the mowing needs of centipedegrass lawns or if heads refer to leadership, to governments and to ruling, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction, it is definitely the case that a crony is a friend. Should it be the case that it is not true that either dopamine is associated with pleasure and a sense of alertness or either weed control improves the appearance and reduces the mowing needs of centipedegrass lawns or if heads refer to leadership, to governments and to ruling, then if people are mental, physical, spiritual and sexual beings, then flowers are plant organs of reproduction, it follows that it is not the case that a crony is a friend.
|
When people are mental, physical, spiritual and sexual beings is true, it follows that flowers are plant organs of reproduction.
|
When people often grow herbs in their gardens is true, it follows that flowers are plant organs of reproduction.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [2], then (If [0], then [1].).). [SC1-2]
Not [4].
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [4] or (If [2], then (If [0], then [1].).).). [SC1-3]
Not [6].
Therefore, Either [4] or (If [2], then (If [0], then [1].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (Either [4] or (If [2], then (If [0], then [1].).).).).), then [8].
If (Not (Either [6] or (Either [4] or (If [2], then (If [0], then [1].).).).).), then (Not [8].).
Therefore, Either [6] or (Either [4] or (If [2], then (If [0], then [1].).).)..
[SC3-1]
Modus Ponens:
If [5], then (If [3], then (If [0], then [1].).).
[5] [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or [5].
Not [7].
Therefore, [5].
|
{0: 'People are mental, physical, spiritual and sexual beings.', 1: 'Flowers are plant organs of reproduction.', 2: 'Heads refer to leadership, to governments and to ruling.', 3: 'Children become obese adults.', 4: 'Weed control improves the appearance and reduces the mowing needs of centipedegrass lawns.', 5: 'Most obesity causes serious medical issues.', 6: 'Dopamine is associated with pleasure and a sense of alertness.', 7: 'Industrial hygiene is both a science and an art.', 8: 'A crony is a friend.'}
| 6 |
5,426 |
['Either one or both of these statements are true: a software engineer is an engineer, or teeth too are bones.', 'On the condition that a software engineer is an engineer, it is definitely the case that if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so.', 'When the statement that states if teeth too are bones, then if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so is false is true, it follows that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth.', 'Many people rightly believe that animals have characteristics.', 'There is good reason to believe that either prednisone can be helpful in shortening the course of a bad outbreak or nausea is a really common side effect of naltrexone.', 'If prednisone can be helpful in shortening the course of a bad outbreak, then if it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, then bryozoans show several evolutionary trends.', 'Once we know nausea is a really common side effect of naltrexone, we also know that if it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, then bryozoans show several evolutionary trends.', 'On the condition that it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, it is definitely the case that puberty is when people change from childhood to adulthood.', 'One may reasonably assume that if puberty is when people change from childhood to adulthood, then the claim that bryozoans show several evolutionary trends is false.']
|
Either one or both of these statements are true: a software engineer is an engineer, or teeth too are bones. On the condition that a software engineer is an engineer, it is definitely the case that if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so. When the statement that states if teeth too are bones, then if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so is false is true, it follows that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth. Many people rightly believe that animals have characteristics. There is good reason to believe that either prednisone can be helpful in shortening the course of a bad outbreak or nausea is a really common side effect of naltrexone. If prednisone can be helpful in shortening the course of a bad outbreak, then if it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, then bryozoans show several evolutionary trends. Once we know nausea is a really common side effect of naltrexone, we also know that if it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, then bryozoans show several evolutionary trends. On the condition that it is not true that if animals have characteristics, then the claim that if nutritious foods form the foundation of a healthy life at every age, then salt restricts bacterial growth does not correspond with reality, it is definitely the case that puberty is when people change from childhood to adulthood. One may reasonably assume that if puberty is when people change from childhood to adulthood, then the claim that bryozoans show several evolutionary trends is false.
|
One may reasonably assume that if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so.
|
The claim that if structural safety is thus closely related to the practice of structural engineering, then diets are something, that especially women, start doing around the age of fourteen or so does not correspond with reality.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then [1].).
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then (If [0], then [1].).).), then (If [4], then [5].).
Not (If [4], then [5].). [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [6], then (Not (If [4], then [5].).). [SC1-3]
[6]
Therefore, Not (If [4], then [5].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]. [SC1-4]
If (Not (If [6], then (Not (If [4], then [5].).).).), then (Not [7].). [SC2-4]
Therefore, If [6], then (Not (If [4], then [5].).)..
[SC1-4]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If [6], then (Not (If [4], then [5].).).).), then [7].).
If [10], then (If (Not (If [6], then (Not (If [4], then [5].).).).), then [7].).
Therefore, If (Not (If [6], then (Not (If [4], then [5].).).).), then [7]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If [6], then (Not (If [4], then [5].).).).), then [8].
If [8], then (Not [7].).
Therefore, If (Not (If [6], then (Not (If [4], then [5].).).).), then (Not [7].)..
|
{0: 'Structural safety is thus closely related to the practice of structural engineering.', 1: 'Diets are something, that especially women, start doing around the age of fourteen or so.', 2: 'A software engineer is an engineer.', 3: 'Teeth too are bones.', 4: 'Nutritious foods form the foundation of a healthy life at every age.', 5: 'Salt restricts bacterial growth.', 6: 'Animals have characteristics.', 7: 'Bryozoans show several evolutionary trends.', 8: 'Puberty is when people change from childhood to adulthood.', 9: 'Prednisone can be helpful in shortening the course of a bad outbreak.', 10: 'Nausea is a really common side effect of naltrexone.'}
| 6 |
5,281 |
['Assuming it is not true that if humans show a wide range of emotions and can become very distinct, then reality is that which is abiding, eternal, and unchangeable, we know that glandular tissue is rich in nucleic acids and it was also the source of adenine.', 'Provided that it is not the case that humans show a wide range of emotions and can become very distinct, we know that it is not true that vacancies are situations.', 'We know that either laser printers are usually faster and produce better quality, but are significantly more expensive or it is not true that glandular tissue is rich in nucleic acids and it was also the source of adenine.', 'It is a common misconception that laser printers are usually faster and produce better quality, but are significantly more expensive.', 'It is not true that hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch.', 'We know that at least one of two things is true: eras span time, or irrationality is the only possible result of thinking in terms of good and evil.', 'Assuming eras span time, we know that either hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch or if it is not the case that humans show a wide range of emotions and can become very distinct, then vacancies are situations.', 'One may reasonably assume that if irrationality is the only possible result of thinking in terms of good and evil, then either hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch or if it is not the case that humans show a wide range of emotions and can become very distinct, then vacancies are situations.']
|
Assuming it is not true that if humans show a wide range of emotions and can become very distinct, then reality is that which is abiding, eternal, and unchangeable, we know that glandular tissue is rich in nucleic acids and it was also the source of adenine. Provided that it is not the case that humans show a wide range of emotions and can become very distinct, we know that it is not true that vacancies are situations. We know that either laser printers are usually faster and produce better quality, but are significantly more expensive or it is not true that glandular tissue is rich in nucleic acids and it was also the source of adenine. It is a common misconception that laser printers are usually faster and produce better quality, but are significantly more expensive. It is not true that hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch. We know that at least one of two things is true: eras span time, or irrationality is the only possible result of thinking in terms of good and evil. Assuming eras span time, we know that either hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch or if it is not the case that humans show a wide range of emotions and can become very distinct, then vacancies are situations. One may reasonably assume that if irrationality is the only possible result of thinking in terms of good and evil, then either hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch or if it is not the case that humans show a wide range of emotions and can become very distinct, then vacancies are situations.
|
It is true that reality is that which is abiding, eternal, and unchangeable.
|
It is not true that reality is that which is abiding, eternal, and unchangeable.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [3].
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4].
Therefore, Not [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not [1].), then [2].). [SC1-3]
Not [5].
Therefore, If (Not [1].), then [2]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [5] or (If (Not [1].), then [2].).).
If [7], then (Either [5] or (If (Not [1].), then [2].).).
Therefore, Either [5] or (If (Not [1].), then [2].)..
|
{0: 'Reality is that which is abiding, eternal, and unchangeable.', 1: 'Humans show a wide range of emotions and can become very distinct.', 2: 'Vacancies are situations.', 3: 'Glandular tissue is rich in nucleic acids and it was also the source of adenine.', 4: 'Laser printers are usually faster and produce better quality, but are significantly more expensive.', 5: 'Hummingbirds are easy to attract to a backyard garden, a cinch to keep well fed, and a joy to watch.', 6: 'Eras span time.', 7: 'Irrationality is the only possible result of thinking in terms of good and evil.'}
| 6 |
5,120 |
['The claim that pheasants are common is true.', 'Those that suggest aircraft have (part) gasoline gauges are wrong.', 'When nitrogen stimulates new growth and the new growth is highly susceptible to fire blight infection is true, it follows that either either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes or if it is a common misconception that if pheasants are common, then cotyledons emerge from germinate seeds, then aircraft have (part) gasoline gauges.', 'Those that suggest nitrogen stimulates new growth and the new growth is highly susceptible to fire blight infection are right.', "So long as either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes, 'education is a responsibility shared by the college, the individual, and the community' is true.", 'Assuming nodes are junction points in the network , we know that if either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes, then some people mistakenly believe that education is a responsibility shared by the college, the individual, and the community.', 'We can assume that nodes are junction points in the network .']
|
The claim that pheasants are common is true. Those that suggest aircraft have (part) gasoline gauges are wrong. When nitrogen stimulates new growth and the new growth is highly susceptible to fire blight infection is true, it follows that either either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes or if it is a common misconception that if pheasants are common, then cotyledons emerge from germinate seeds, then aircraft have (part) gasoline gauges. Those that suggest nitrogen stimulates new growth and the new growth is highly susceptible to fire blight infection are right. So long as either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes, 'education is a responsibility shared by the college, the individual, and the community' is true. Assuming nodes are junction points in the network , we know that if either friendship is the hidden energy calling nations to justice or thickness is the width of the line of dashes, then some people mistakenly believe that education is a responsibility shared by the college, the individual, and the community. We can assume that nodes are junction points in the network .
|
It is true that cotyledons emerge from germinate seeds.
|
It is true that cotyledons emerge from germinate seeds.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If (Not (If [1], then [0].).), then [2].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Modus Ponens:
If [5], then (Either (Either [3] or [4].) or (If (Not (If [1], then [0].).), then [2].).).
[5]
Therefore, Either (Either [3] or [4].) or (If (Not (If [1], then [0].).), then [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Either [3] or [4].), then [6].
If (Either [3] or [4].), then (Not [6].). [SC2-4]
Therefore, Not (Either [3] or [4].)..
[SC2-4]
Modus Ponens:
If [7], then (If (Either [3] or [4].), then (Not [6].).).
[7]
Therefore, If (Either [3] or [4].), then (Not [6].)..
|
{0: 'Cotyledons emerge from germinate seeds.', 1: 'Pheasants are common.', 2: 'Aircraft have (part) gasoline gauges.', 3: 'Friendship is the hidden energy calling nations to justice.', 4: 'Thickness is the width of the line of dashes.', 5: 'Nitrogen stimulates new growth and the new growth is highly susceptible to fire blight infection.', 6: 'Education is a responsibility shared by the college, the individual, and the community.', 7: 'Nodes are junction points in the network .'}
| 6 |
5,593 |
['It is rational to believe that either either placental progesterone is a steroid hormone produced by the placenta during pregnancy or baits work on ant colonies with visible and non-visible mounds, such as newly established colonies or if aBLM mines have a characteristic shape and are easy to identify, then animals instinctively avoid poisons and serpents.', 'Given that either placental progesterone is a steroid hormone produced by the placenta during pregnancy or baits work on ant colonies with visible and non-visible mounds, such as newly established colonies, it can be inferred that rosy finches catch insects.', 'Provided that if aBLM mines have a characteristic shape and are easy to identify, then animals instinctively avoid poisons and serpents, we know that some educators think wealth determines learning ability.', 'The statement, frogs have (part) ears, does not hold.', "It is rational to believe that either if food fuels the robin's metabolism, giving it the fat and energy to feed, move, and survive, then some dolphins eat mullets or pyramidings are swindle.", "So long as pyramidings are swindle, 'the claim that rosy finches catch insects does not correspond with reality' is true.", "Either gridlocks are traffic jam or if if food fuels the robin's metabolism, giving it the fat and energy to feed, move, and survive, then some dolphins eat mullets, then frogs have (part) ears.", "It is a fact that either monkeys develop compartment stomachs or the statement that 'gridlocks are traffic jam' is incorrect.", 'It is not the case that monkeys develop compartment stomachs.']
|
It is rational to believe that either either placental progesterone is a steroid hormone produced by the placenta during pregnancy or baits work on ant colonies with visible and non-visible mounds, such as newly established colonies or if aBLM mines have a characteristic shape and are easy to identify, then animals instinctively avoid poisons and serpents. Given that either placental progesterone is a steroid hormone produced by the placenta during pregnancy or baits work on ant colonies with visible and non-visible mounds, such as newly established colonies, it can be inferred that rosy finches catch insects. Provided that if aBLM mines have a characteristic shape and are easy to identify, then animals instinctively avoid poisons and serpents, we know that some educators think wealth determines learning ability. The statement, frogs have (part) ears, does not hold. It is rational to believe that either if food fuels the robin's metabolism, giving it the fat and energy to feed, move, and survive, then some dolphins eat mullets or pyramidings are swindle. So long as pyramidings are swindle, 'the claim that rosy finches catch insects does not correspond with reality' is true. Either gridlocks are traffic jam or if if food fuels the robin's metabolism, giving it the fat and energy to feed, move, and survive, then some dolphins eat mullets, then frogs have (part) ears. It is a fact that either monkeys develop compartment stomachs or the statement that 'gridlocks are traffic jam' is incorrect. It is not the case that monkeys develop compartment stomachs.
|
We can assume that some educators think wealth determines learning ability.
|
Many educators believe that school dress significantly influences pupil behavior.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [3] or [4].) or (If [5], then [6].).
If (Either [3] or [4].), then [1].
If (If [5], then [6].), then [0].
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then [2]. [SC2-3]
If [9], then (Not [1].).
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (If (If [7], then [8].), then [2].).
Not [10]. [SC2-4]
Therefore, If (If [7], then [8].), then [2]..
[SC2-4]
Disjunctive Syllogism:
Either [11] or (Not [10].).
Not [11].
Therefore, Not [10]..
|
{0: 'Some educators think wealth determines learning ability.', 1: 'Rosy finches catch insects.', 2: 'Frogs have (part) ears.', 3: 'Placental progesterone is a steroid hormone produced by the placenta during pregnancy.', 4: 'Baits work on ant colonies with visible and non-visible mounds, such as newly established colonies.', 5: 'ABLM mines have a characteristic shape and are easy to identify.', 6: 'Animals instinctively avoid poisons and serpents.', 7: "Food fuels the robin's metabolism, giving it the fat and energy to feed, move, and survive.", 8: 'Some dolphins eat mullets.', 9: 'Pyramidings are swindle.', 10: 'Gridlocks are traffic jam.', 11: 'Monkeys develop compartment stomachs.'}
| 6 |
5,981 |
['Some people mistakenly believe that some monkeys are located on islands.', "So long as some people mistakenly believe that if the claim that if it is not the case that a pallid bat is a vespertilionid, then vascular plants are plants does not reflect reality, then some monkeys are located on islands, 'either spores germinate in moist environments or weevil emergence is dependent upon soil moisture and is usually higher following rains' is true.", 'Once we know some people mistakenly believe that if the claim that if it is not the case that a pallid bat is a vespertilionid, then vascular plants are plants does not reflect reality, then some monkeys are located on islands, we also know that the statement that states either spores germinate in moist environments or weevil emergence is dependent upon soil moisture and is usually higher following rains is false.', 'Once we know some acid derives from certain algas, we also know that if vascular plants are plants, then some bark is used for floats and bulletin boards.', 'The idea that some acid derives from certain algas is true.', 'On the condition that cameroon is part of Africa, it is definitely the case that if vascular plants are plants, then the claim that some bark is used for floats and bulletin boards has no merit.', "The statement 'cameroon is part of Africa' can be considered true."]
|
Some people mistakenly believe that some monkeys are located on islands. So long as some people mistakenly believe that if the claim that if it is not the case that a pallid bat is a vespertilionid, then vascular plants are plants does not reflect reality, then some monkeys are located on islands, 'either spores germinate in moist environments or weevil emergence is dependent upon soil moisture and is usually higher following rains' is true. Once we know some people mistakenly believe that if the claim that if it is not the case that a pallid bat is a vespertilionid, then vascular plants are plants does not reflect reality, then some monkeys are located on islands, we also know that the statement that states either spores germinate in moist environments or weevil emergence is dependent upon soil moisture and is usually higher following rains is false. Once we know some acid derives from certain algas, we also know that if vascular plants are plants, then some bark is used for floats and bulletin boards. The idea that some acid derives from certain algas is true. On the condition that cameroon is part of Africa, it is definitely the case that if vascular plants are plants, then the claim that some bark is used for floats and bulletin boards has no merit. The statement 'cameroon is part of Africa' can be considered true.
|
It is fair to say that a pallid bat is a vespertilionid.
|
Most pallid bats have average size.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Either [4] or [5].).
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not (Either [4] or [5].).).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [6], then (If [1], then [3].).
[6]
Therefore, If [1], then [3]..
[SC2-2]
Modus Ponens:
If [7], then (If [1], then (Not [3].).).
[7]
Therefore, If [1], then (Not [3].)..
|
{0: 'A pallid bat is a vespertilionid.', 1: 'Vascular plants are plants.', 2: 'Some monkeys are located on islands.', 3: 'Some bark is used for floats and bulletin boards.', 4: 'Spores germinate in moist environments.', 5: 'Weevil emergence is dependent upon soil moisture and is usually higher following rains.', 6: 'Some acid derives from certain algas.', 7: 'Cameroon is part of Africa.'}
| 6 |
5,013 |
['When it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes is true, it follows that most proteins play positive roles.', 'At least one of two things is true: either deltas gradually build outward, forming a very flat surface just barely above sea level or caregivers still have control over which foods they offer a child, or aerobic exercise builds stamina, strengthens the heart and helps with weight loss.', 'When aerobic exercise builds stamina, strengthens the heart and helps with weight loss is true, it follows that if it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes, then it is a common misconception that most proteins play positive roles.', 'Those that suggest if some spiders use web snares to trap prey and all construct a silk sac to deposit eggs, then peripheral lymphadenopathy is present are wrong.', 'Many people rightly believe that specialists determine options.', 'Assuming specialists determine options, we know that lobelia is a powerful relaxant without harmful effects.', 'On the condition that agitation distributes the crystal forming nuclei and hastens crystallization, it is definitely the case that if lobelia is a powerful relaxant without harmful effects, then if those that suggest if either deltas gradually build outward, forming a very flat surface just barely above sea level or caregivers still have control over which foods they offer a child, then if it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes, then it is a common misconception that most proteins play positive roles are wrong, then if some spiders use web snares to trap prey and all construct a silk sac to deposit eggs, then peripheral lymphadenopathy is present.', "The statement 'agitation distributes the crystal forming nuclei and hastens crystallization' is true."]
|
When it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes is true, it follows that most proteins play positive roles. At least one of two things is true: either deltas gradually build outward, forming a very flat surface just barely above sea level or caregivers still have control over which foods they offer a child, or aerobic exercise builds stamina, strengthens the heart and helps with weight loss. When aerobic exercise builds stamina, strengthens the heart and helps with weight loss is true, it follows that if it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes, then it is a common misconception that most proteins play positive roles. Those that suggest if some spiders use web snares to trap prey and all construct a silk sac to deposit eggs, then peripheral lymphadenopathy is present are wrong. Many people rightly believe that specialists determine options. Assuming specialists determine options, we know that lobelia is a powerful relaxant without harmful effects. On the condition that agitation distributes the crystal forming nuclei and hastens crystallization, it is definitely the case that if lobelia is a powerful relaxant without harmful effects, then if those that suggest if either deltas gradually build outward, forming a very flat surface just barely above sea level or caregivers still have control over which foods they offer a child, then if it is not the case that mothballs Put clothes in cedar chests, or place cedar chips around clothes, then it is a common misconception that most proteins play positive roles are wrong, then if some spiders use web snares to trap prey and all construct a silk sac to deposit eggs, then peripheral lymphadenopathy is present. The statement 'agitation distributes the crystal forming nuclei and hastens crystallization' is true.
|
It is reasonable to believe that mothballs Put clothes in cedar chests, or place cedar chips around clothes.
|
Mothballs can cause nausea, vomiting and headache.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4].
If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).). [SC2-2]
If [4], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].). [SC1-3]
Not (If [5], then [6].).
Therefore, If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].).). [SC1-4]
[7]
Therefore, If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].)..
[SC1-4]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].).). [SC2-5]
Therefore, If [7], then (If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].).)..
[SC2-5]
Modus Ponens:
If [9], then (If [8], then (If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].).).).
[9]
Therefore, If [8], then (If (Not (If (Either [2] or [3].), then (If (Not [0].), then (Not [1].).).).), then (If [5], then [6].).)..
|
{0: 'Mothballs Put clothes in cedar chests, or place cedar chips around clothes.', 1: 'Most proteins play positive roles.', 2: 'Deltas gradually build outward, forming a very flat surface just barely above sea level.', 3: 'Caregivers still have control over which foods they offer a child.', 4: 'Aerobic exercise builds stamina, strengthens the heart and helps with weight loss.', 5: 'Some spiders use web snares to trap prey and all construct a silk sac to deposit eggs.', 6: 'Peripheral lymphadenopathy is present.', 7: 'Specialists determine options.', 8: 'Lobelia is a powerful relaxant without harmful effects.', 9: 'Agitation distributes the crystal forming nuclei and hastens crystallization.'}
| 6 |
5,655 |
['On the condition that flowers have pigment, it is definitely the case that if most aquatic animals have fins that are adapted for propelling a vortex backward, then we know that the claim that cats drink less water than dogs is false.', 'Assuming mealybugs suck plant juices, stunting plant growth or killing plants, we know that if most aquatic animals have fins that are adapted for propelling a vortex backward, then we know that the claim that cats drink less water than dogs is false.', "So long as colorectal cancer is a disease strongly influenced by diet, 'most aquatic animals have fins that are adapted for propelling a vortex backward' is true.", 'Once we know pottery is when clay used to model shapes and then fired in a kiln, we also know that most aquatic animals have fins that are adapted for propelling a vortex backward.', "The statement that 'healthy roots are firm and usually lighter in color than the surrounding soil' is incorrect.", 'One may reasonably assume that if it is a common misconception that either colorectal cancer is a disease strongly influenced by diet or pottery is when clay used to model shapes and then fired in a kiln, then a video recording is a recording.', 'Provided that it is a common misconception that either colorectal cancer is a disease strongly influenced by diet or pottery is when clay used to model shapes and then fired in a kiln, we know that the claim that a video recording is a recording does not reflect reality.', 'There is good reason to believe that either propane gas can ignite easily or either healthy roots are firm and usually lighter in color than the surrounding soil or either flowers have pigment or mealybugs suck plant juices, stunting plant growth or killing plants.', 'The claim that propane gas can ignite easily does not correspond with reality.']
|
On the condition that flowers have pigment, it is definitely the case that if most aquatic animals have fins that are adapted for propelling a vortex backward, then we know that the claim that cats drink less water than dogs is false. Assuming mealybugs suck plant juices, stunting plant growth or killing plants, we know that if most aquatic animals have fins that are adapted for propelling a vortex backward, then we know that the claim that cats drink less water than dogs is false. So long as colorectal cancer is a disease strongly influenced by diet, 'most aquatic animals have fins that are adapted for propelling a vortex backward' is true. Once we know pottery is when clay used to model shapes and then fired in a kiln, we also know that most aquatic animals have fins that are adapted for propelling a vortex backward. The statement that 'healthy roots are firm and usually lighter in color than the surrounding soil' is incorrect. One may reasonably assume that if it is a common misconception that either colorectal cancer is a disease strongly influenced by diet or pottery is when clay used to model shapes and then fired in a kiln, then a video recording is a recording. Provided that it is a common misconception that either colorectal cancer is a disease strongly influenced by diet or pottery is when clay used to model shapes and then fired in a kiln, we know that the claim that a video recording is a recording does not reflect reality. There is good reason to believe that either propane gas can ignite easily or either healthy roots are firm and usually lighter in color than the surrounding soil or either flowers have pigment or mealybugs suck plant juices, stunting plant growth or killing plants. The claim that propane gas can ignite easily does not correspond with reality.
|
We know that the claim that cats drink less water than dogs is false.
|
The statement 'cats drink less water than dogs' can be considered true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then (Not [0].).).
If [3], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [2] or [3].). [SC1-3]
Not [6].
Therefore, Either [2] or [3]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (Either [6] or (Either [2] or [3].).).
Not [8].
Therefore, Either [6] or (Either [2] or [3].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then [1].
If [5], then [1].
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [7].
If (Not (Either [4] or [5].).), then (Not [7].).
Therefore, Either [4] or [5]..
|
{0: 'Cats drink less water than dogs.', 1: 'Most aquatic animals have fins that are adapted for propelling a vortex backward.', 2: 'Flowers have pigment.', 3: 'Mealybugs suck plant juices, stunting plant growth or killing plants.', 4: 'Colorectal cancer is a disease strongly influenced by diet.', 5: 'Pottery is when clay used to model shapes and then fired in a kiln.', 6: 'Healthy roots are firm and usually lighter in color than the surrounding soil.', 7: 'A video recording is a recording.', 8: 'Propane gas can ignite easily.'}
| 6 |
5,455 |
["The notion that 'women may have conditions' is untrue.", 'Assuming it is a common misconception that researchers take information, we know that if exhalation is either passive or results from constriction of thoracic or abdominal cavities, then roadrunners can also jump straight up to snag insects, bats, and even hummingbirds in flight.', 'Should it be the case that it is a common misconception that researchers take information, it follows that it is not true that if exhalation is either passive or results from constriction of thoracic or abdominal cavities, then roadrunners can also jump straight up to snag insects, bats, and even hummingbirds in flight.', 'It is a fact that either digestive tracts are organ systems or gender is different from what type of sex a person can be.', "So long as digestive tracts are organ systems, 'if abnormal breathing sounds, sometimes indicating fluid in the air sacs of the lung, then plant variety is influenced by temperature, elevation and precipitation' is true.", 'Provided that if abnormal breathing sounds, sometimes indicating fluid in the air sacs of the lung, then plant variety is influenced by temperature, elevation and precipitation, we know that if the statement, if researchers take information, then gametophytes can be male or female or both, does not hold, then women may have conditions.', "So long as an organ transplant is an operation, 'if gender is different from what type of sex a person can be, then if the statement, if researchers take information, then gametophytes can be male or female or both, does not hold, then women may have conditions' is true.", 'The statement that states an organ transplant is an operation is right.']
|
The notion that 'women may have conditions' is untrue. Assuming it is a common misconception that researchers take information, we know that if exhalation is either passive or results from constriction of thoracic or abdominal cavities, then roadrunners can also jump straight up to snag insects, bats, and even hummingbirds in flight. Should it be the case that it is a common misconception that researchers take information, it follows that it is not true that if exhalation is either passive or results from constriction of thoracic or abdominal cavities, then roadrunners can also jump straight up to snag insects, bats, and even hummingbirds in flight. It is a fact that either digestive tracts are organ systems or gender is different from what type of sex a person can be. So long as digestive tracts are organ systems, 'if abnormal breathing sounds, sometimes indicating fluid in the air sacs of the lung, then plant variety is influenced by temperature, elevation and precipitation' is true. Provided that if abnormal breathing sounds, sometimes indicating fluid in the air sacs of the lung, then plant variety is influenced by temperature, elevation and precipitation, we know that if the statement, if researchers take information, then gametophytes can be male or female or both, does not hold, then women may have conditions. So long as an organ transplant is an operation, 'if gender is different from what type of sex a person can be, then if the statement, if researchers take information, then gametophytes can be male or female or both, does not hold, then women may have conditions' is true. The statement that states an organ transplant is an operation is right.
|
The claim that gametophytes can be male or female or both holds true.
|
The claim that gametophytes can be male or female or both holds true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [4]. [SC1-2]
Not [4].
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [1], then [0].).), then [4].). [SC2-3]
If [6], then (If (Not (If [1], then [0].).), then [4].). [SC3-3]
Therefore, If (Not (If [1], then [0].).), then [4]..
[SC2-3]
Hypothetical Syllogism:
If [5], then (If [8], then [9].).
If (If [8], then [9].), then (If (Not (If [1], then [0].).), then [4].).
Therefore, If [5], then (If (Not (If [1], then [0].).), then [4].)..
[SC3-3]
Modus Ponens:
If [7], then (If [6], then (If (Not (If [1], then [0].).), then [4].).).
[7]
Therefore, If [6], then (If (Not (If [1], then [0].).), then [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (If [2], then [3].).
If (Not [1].), then (Not (If [2], then [3].).).
Therefore, [1].
|
{0: 'Gametophytes can be male or female or both.', 1: 'Researchers take information.', 2: 'Exhalation is either passive or results from constriction of thoracic or abdominal cavities.', 3: 'Roadrunners can also jump straight up to snag insects, bats, and even hummingbirds in flight.', 4: 'Women may have conditions.', 5: 'Digestive tracts are organ systems.', 6: 'Gender is different from what type of sex a person can be.', 7: 'An organ transplant is an operation.', 8: 'Abnormal breathing sounds, sometimes indicating fluid in the air sacs of the lung.', 9: 'Plant variety is influenced by temperature, elevation and precipitation.'}
| 6 |
5,584 |
['It is a fact that either some plants have canes or public education is a work in progress.', 'Should it be the case that some plants have canes, it follows that the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality.', 'Provided that turkey have a pattern in the spring much like deer, we know that if the claim that if public education is a work in progress, then the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality has no merit, then if paralyzed individuals are the most likely to have pressure sores recur, then humans only have two pubis bones.', 'If the claim that if public education is a work in progress, then the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality has no merit, then carbon is a non-profit industry organisation aimed at collaboration on emissions trading activities.', 'If carbon is a non-profit industry organisation aimed at collaboration on emissions trading activities, then the claim that if paralyzed individuals are the most likely to have pressure sores recur, then humans only have two pubis bones has no merit.', 'We know that at least one of two things is true: if polysaccharides produce an anti-inflammatory effect, then diets have aspects, or animals also suffer from sleep disorder - narcolepsy and sleep apnea.', 'Provided that animals also suffer from sleep disorder - narcolepsy and sleep apnea, we know that turkey have a pattern in the spring much like deer.', 'Should it be the case that those that suggest if if polysaccharides produce an anti-inflammatory effect, then diets have aspects, then turkey have a pattern in the spring much like deer are wrong, it follows that time clocks provide a simple and cost-effective way to control water heaters.', "So long as those that suggest if if polysaccharides produce an anti-inflammatory effect, then diets have aspects, then turkey have a pattern in the spring much like deer are wrong, 'the claim that time clocks provide a simple and cost-effective way to control water heaters has no merit' is true."]
|
It is a fact that either some plants have canes or public education is a work in progress. Should it be the case that some plants have canes, it follows that the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality. Provided that turkey have a pattern in the spring much like deer, we know that if the claim that if public education is a work in progress, then the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality has no merit, then if paralyzed individuals are the most likely to have pressure sores recur, then humans only have two pubis bones. If the claim that if public education is a work in progress, then the claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality has no merit, then carbon is a non-profit industry organisation aimed at collaboration on emissions trading activities. If carbon is a non-profit industry organisation aimed at collaboration on emissions trading activities, then the claim that if paralyzed individuals are the most likely to have pressure sores recur, then humans only have two pubis bones has no merit. We know that at least one of two things is true: if polysaccharides produce an anti-inflammatory effect, then diets have aspects, or animals also suffer from sleep disorder - narcolepsy and sleep apnea. Provided that animals also suffer from sleep disorder - narcolepsy and sleep apnea, we know that turkey have a pattern in the spring much like deer. Should it be the case that those that suggest if if polysaccharides produce an anti-inflammatory effect, then diets have aspects, then turkey have a pattern in the spring much like deer are wrong, it follows that time clocks provide a simple and cost-effective way to control water heaters. So long as those that suggest if if polysaccharides produce an anti-inflammatory effect, then diets have aspects, then turkey have a pattern in the spring much like deer are wrong, 'the claim that time clocks provide a simple and cost-effective way to control water heaters has no merit' is true.
|
The claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality.
|
The claim that either institutes provide materials or young people are even more directly affected by economic and social changes than adults does not correspond with reality.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not (Either [0] or [1].).).
If [3], then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (Not (Either [0] or [1].).).).), then (If [4], then [5].). [SC1-2]
If (Not (If [3], then (Not (Either [0] or [1].).).).), then (Not (If [4], then [5].).). [SC2-2]
Therefore, If [3], then (Not (Either [0] or [1].).)..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If [3], then (Not (Either [0] or [1].).).).), then (If [4], then [5].).).
[7] [SC2-3]
Therefore, If (Not (If [3], then (Not (Either [0] or [1].).).).), then (If [4], then [5].)..
[SC2-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then [7]. [SC2-4]
If [10], then [7].
Therefore, [7].
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (If [8], then [9].), then [7].).), then [11].
If (Not (If (If [8], then [9].), then [7].).), then (Not [11].).
Therefore, If (If [8], then [9].), then [7]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [3], then (Not (Either [0] or [1].).).).), then [6].
If [6], then (Not (If [4], then [5].).).
Therefore, If (Not (If [3], then (Not (Either [0] or [1].).).).), then (Not (If [4], then [5].).)..
|
{0: 'Institutes provide materials.', 1: 'Young people are even more directly affected by economic and social changes than adults.', 2: 'Some plants have canes.', 3: 'Public education is a work in progress.', 4: 'Paralyzed individuals are the most likely to have pressure sores recur.', 5: 'Humans only have two pubis bones.', 6: 'Carbon is a non-profit industry organisation aimed at collaboration on emissions trading activities.', 7: 'Turkey have a pattern in the spring much like deer.', 8: 'Polysaccharides produce an anti-inflammatory effect.', 9: 'Diets have aspects.', 10: 'Animals also suffer from sleep disorder - narcolepsy and sleep apnea.', 11: 'Time clocks provide a simple and cost-effective way to control water heaters.'}
| 6 |
5,955 |
['Provided that either some horses escape animals or traditional medicine portrays the cancer victim as one who generally feels, hopeless and helpless, we know that either isolated birds show deficiencies in their song but it does contain elements of adult song or if management is the actual control exerted over people, activities and resources, then areas experience problems.', "Should it be the case that the claim that if isolated birds show deficiencies in their song but it does contain elements of adult song, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue has no merit, it follows that grizzly bears are a North American sub-species of brown bear which includes the Alaska kodiak bears.", 'The claim that grizzly bears are a North American sub-species of brown bear which includes the Alaska kodiak bears does not correspond with reality.', 'We know that either helium clusters are unique finite quantum systems or yellow is color.', "On the condition that helium clusters are unique finite quantum systems, it is definitely the case that if if management is the actual control exerted over people, activities and resources, then areas experience problems, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue.", "On the condition that yellow is color, it is definitely the case that if if management is the actual control exerted over people, activities and resources, then areas experience problems, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue.", 'One may reasonably assume that if conifers have greater root strength for slope stabilization than grasses or legumes, then either some horses escape animals or traditional medicine portrays the cancer victim as one who generally feels, hopeless and helpless.', 'Given that cloudy water is usually the result of dissolved air in the water lines, it can be inferred that conifers have greater root strength for slope stabilization than grasses or legumes.', 'Many people rightly believe that cloudy water is usually the result of dissolved air in the water lines.']
|
Provided that either some horses escape animals or traditional medicine portrays the cancer victim as one who generally feels, hopeless and helpless, we know that either isolated birds show deficiencies in their song but it does contain elements of adult song or if management is the actual control exerted over people, activities and resources, then areas experience problems. Should it be the case that the claim that if isolated birds show deficiencies in their song but it does contain elements of adult song, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue has no merit, it follows that grizzly bears are a North American sub-species of brown bear which includes the Alaska kodiak bears. The claim that grizzly bears are a North American sub-species of brown bear which includes the Alaska kodiak bears does not correspond with reality. We know that either helium clusters are unique finite quantum systems or yellow is color. On the condition that helium clusters are unique finite quantum systems, it is definitely the case that if if management is the actual control exerted over people, activities and resources, then areas experience problems, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue. On the condition that yellow is color, it is definitely the case that if if management is the actual control exerted over people, activities and resources, then areas experience problems, then the notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue. One may reasonably assume that if conifers have greater root strength for slope stabilization than grasses or legumes, then either some horses escape animals or traditional medicine portrays the cancer victim as one who generally feels, hopeless and helpless. Given that cloudy water is usually the result of dissolved air in the water lines, it can be inferred that conifers have greater root strength for slope stabilization than grasses or legumes. Many people rightly believe that cloudy water is usually the result of dissolved air in the water lines.
|
The notion that 'emotional stress shows up as irritability, depression, and emotional instability' is untrue.
|
Many people rightly believe that emotional stress shows up as irritability, depression, and emotional instability.
|
FALSE
|
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]
Modus Ponens:
If (Either [5] or [6].), then (Either [1] or (If [2], then [3].).).
Either [5] or [6]. [SC2-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC2-2]
Modus Ponens:
If [9], then (Either [5] or [6].).
[9] [SC2-3]
Therefore, Either [5] or [6]..
[SC2-3]
Modus Ponens:
If [10], then [9].
[10]
Therefore, [9].
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [4].
Not [4].
Therefore, If [1], then (Not [0].)..
[SC3-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [2], then [3].), then (Not [0].).).
If [8], then (If (If [2], then [3].), then (Not [0].).).
Therefore, If (If [2], then [3].), then (Not [0].)..
|
{0: 'Emotional stress shows up as irritability, depression, and emotional instability.', 1: 'Isolated birds show deficiencies in their song but it does contain elements of adult song.', 2: 'Management is the actual control exerted over people, activities and resources.', 3: 'Areas experience problems.', 4: 'Grizzly bears are a North American sub-species of brown bear which includes the Alaska kodiak bears.', 5: 'Some horses escape animals.', 6: 'Traditional medicine portrays the cancer victim as one who generally feels, hopeless and helpless.', 7: 'Helium clusters are unique finite quantum systems.', 8: 'Yellow is color.', 9: 'Conifers have greater root strength for slope stabilization than grasses or legumes.', 10: 'Cloudy water is usually the result of dissolved air in the water lines.'}
| 6 |
5,160 |
['Given that a gas chamber is an instrument, it can be inferred that some people mistakenly believe that more recent studies suggest that mutation is a metabolic process under genetic control.', 'On the condition that the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, it is definitely the case that it is not the case that dishs are containers.', "So long as areas generate power, 'if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers' is true.", "Assuming the statement 'either if some organic acid stimulates growth, then blue books are reference work or areas generate power' can be considered false, we know that dolphins are among the most lethal animals in the ocean.", 'At least one of two things is true: social workers are people who are professionally trained in counseling and practical assistance, or chemists work in the pharmaceutical, paper, oil, biotechnology and consumer product industries.', 'If social workers are people who are professionally trained in counseling and practical assistance, then if if some organic acid stimulates growth, then blue books are reference work, then if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers.', 'On the condition that chemists work in the pharmaceutical, paper, oil, biotechnology and consumer product industries, it is definitely the case that if if some organic acid stimulates growth, then blue books are reference work, then if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers.', "We know that either a grievance is bitterness or if the statement 'either if some organic acid stimulates growth, then blue books are reference work or areas generate power' can be considered false, then those that suggest dolphins are among the most lethal animals in the ocean are wrong.", 'The statement, a grievance is bitterness, does not hold.']
|
Given that a gas chamber is an instrument, it can be inferred that some people mistakenly believe that more recent studies suggest that mutation is a metabolic process under genetic control. On the condition that the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, it is definitely the case that it is not the case that dishs are containers. So long as areas generate power, 'if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers' is true. Assuming the statement 'either if some organic acid stimulates growth, then blue books are reference work or areas generate power' can be considered false, we know that dolphins are among the most lethal animals in the ocean. At least one of two things is true: social workers are people who are professionally trained in counseling and practical assistance, or chemists work in the pharmaceutical, paper, oil, biotechnology and consumer product industries. If social workers are people who are professionally trained in counseling and practical assistance, then if if some organic acid stimulates growth, then blue books are reference work, then if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers. On the condition that chemists work in the pharmaceutical, paper, oil, biotechnology and consumer product industries, it is definitely the case that if if some organic acid stimulates growth, then blue books are reference work, then if the claim that if a gas chamber is an instrument, then more recent studies suggest that mutation is a metabolic process under genetic control does not correspond with reality, then dishs are containers. We know that either a grievance is bitterness or if the statement 'either if some organic acid stimulates growth, then blue books are reference work or areas generate power' can be considered false, then those that suggest dolphins are among the most lethal animals in the ocean are wrong. The statement, a grievance is bitterness, does not hold.
|
We know that the claim that a gas chamber is an instrument is false.
|
We know that the claim that a gas chamber is an instrument 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].).
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5]. [SC1-3]
If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].). [SC2-3]
If [5], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [3], then [4].) or [5].).), then [8].
If (Not (Either (If [3], then [4].) or [5].).), then (Not [8].). [SC2-4]
Therefore, Either (If [3], then [4].) or [5]..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If (Not (Either (If [3], then [4].) or [5].).), then (Not [8].).).
Not [9].
Therefore, If (Not (Either (If [3], then [4].) or [5].).), then (Not [8].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].).).
If [7], then (If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].).).
Therefore, If (If [3], then [4].), then (If (Not (If [0], then [1].).), then [2].)..
|
{0: 'A gas chamber is an instrument.', 1: 'More recent studies suggest that mutation is a metabolic process under genetic control.', 2: 'Dishs are containers.', 3: 'Some organic acid stimulates growth.', 4: 'Blue books are reference work.', 5: 'Areas generate power.', 6: 'Social workers are people who are professionally trained in counseling and practical assistance.', 7: 'Chemists work in the pharmaceutical, paper, oil, biotechnology and consumer product industries.', 8: 'Dolphins are among the most lethal animals in the ocean.', 9: 'A grievance is bitterness.'}
| 6 |
5,977 |
["Should it be the case that the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, it follows that sexual drive is affected by nutrition stress fatigue and medications.", 'We know that either partners have children or saturation is the overall amount of color being applied.', 'Should it be the case that partners have children, it follows that if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then the claim that lipids are classified as simple and complex does not correspond with reality.', 'It is rational to believe that either cats desire warm beds or most bees have lifespans.', "One may reasonably assume that if cats desire warm beds, then if the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, then the claim that sexual drive is affected by nutrition stress fatigue and medications is false.", "Given that most bees have lifespans, it can be inferred that if the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, then the claim that sexual drive is affected by nutrition stress fatigue and medications is false.", "The statement 'most organisms can do little to change the carrying capacity of their environments, but humans have' is true.", 'Once we know the claim that if most organisms can do little to change the carrying capacity of their environments, but humans have, then if saturation is the overall amount of color being applied, then if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then the claim that lipids are classified as simple and complex does not correspond with reality has no merit, we also know that if soybean tends to be more seriously injured by broadleaf herbicides than grass herbicides, then most giant whales live in areas.', 'The statement that states if soybean tends to be more seriously injured by broadleaf herbicides than grass herbicides, then most giant whales live in areas is false.']
|
Should it be the case that the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, it follows that sexual drive is affected by nutrition stress fatigue and medications. We know that either partners have children or saturation is the overall amount of color being applied. Should it be the case that partners have children, it follows that if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then the claim that lipids are classified as simple and complex does not correspond with reality. It is rational to believe that either cats desire warm beds or most bees have lifespans. One may reasonably assume that if cats desire warm beds, then if the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, then the claim that sexual drive is affected by nutrition stress fatigue and medications is false. Given that most bees have lifespans, it can be inferred that if the notion that 'if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then lipids are classified as simple and complex ' is untrue, then the claim that sexual drive is affected by nutrition stress fatigue and medications is false. The statement 'most organisms can do little to change the carrying capacity of their environments, but humans have' is true. Once we know the claim that if most organisms can do little to change the carrying capacity of their environments, but humans have, then if saturation is the overall amount of color being applied, then if it is a common misconception that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes , then the claim that lipids are classified as simple and complex does not correspond with reality has no merit, we also know that if soybean tends to be more seriously injured by broadleaf herbicides than grass herbicides, then most giant whales live in areas. The statement that states if soybean tends to be more seriously injured by broadleaf herbicides than grass herbicides, then most giant whales live in areas is false.
|
Once we know migration has tradition, we also know that astronomers measure the brightness of stars by their apparent magnitudes .
|
The claim that if migration has tradition, then astronomers measure the brightness of stars by their apparent magnitudes does not reflect reality.
|
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]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [5].
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [5].). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [5].).).
If [7], then (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [5].).).
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [5].)..
[SC2-1]
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].).). [SC3-2]
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC3-2]
Modus Ponens:
If [8], then (If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).). [SC1-3]
[8]
Therefore, If [4], then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If [8], then (If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).).).), then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, If [8], then (If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).)..
|
{0: 'Migration has tradition.', 1: 'Astronomers measure the brightness of stars by their apparent magnitudes .', 2: 'Lipids are classified as simple and complex .', 3: 'Partners have children.', 4: 'Saturation is the overall amount of color being applied.', 5: 'Sexual drive is affected by nutrition stress fatigue and medications.', 6: 'Cats desire warm beds.', 7: 'Most bees have lifespans.', 8: 'Most organisms can do little to change the carrying capacity of their environments, but humans have.', 9: 'Soybean tends to be more seriously injured by broadleaf herbicides than grass herbicides.', 10: 'Most giant whales live in areas.'}
| 6 |
5,973 |
['Given that the claim that loons eat, sleep, and spend almost all their time in the water does not correspond with reality, it can be inferred that attitudes play an important part in stress management.', 'Those that suggest attitudes play an important part in stress management are wrong.', 'At least one of two things is true: indian legend has it that the giant sea stacks of Olympic Coast are the eyes of ancestors, or rats are omnivorous, aggressive, intelligent, adaptable, and extremely fecund.', 'If indian legend has it that the giant sea stacks of Olympic Coast are the eyes of ancestors, then if loons eat, sleep, and spend almost all their time in the water, then most basil seeds look like seeds.', 'Once we know rats are omnivorous, aggressive, intelligent, adaptable, and extremely fecund, we also know that if loons eat, sleep, and spend almost all their time in the water, then most basil seeds look like seeds.', "Given that the statement 'if most basil seeds look like seeds, then narwhals have (part) breasts' can be considered false, it can be inferred that public deliberation is a process of open but structured dialogue about issues of concern.", 'One may reasonably assume that if if aquaculture is a booming industry, then radiation therapy uses x-rays or other high energy rays to kill cancer cells and shrink tumors, then some people mistakenly believe that public deliberation is a process of open but structured dialogue about issues of concern.', 'On the condition that aquaculture is a booming industry, it is definitely the case that radiation therapy uses x-rays or other high energy rays to kill cancer cells and shrink tumors.']
|
Given that the claim that loons eat, sleep, and spend almost all their time in the water does not correspond with reality, it can be inferred that attitudes play an important part in stress management. Those that suggest attitudes play an important part in stress management are wrong. At least one of two things is true: indian legend has it that the giant sea stacks of Olympic Coast are the eyes of ancestors, or rats are omnivorous, aggressive, intelligent, adaptable, and extremely fecund. If indian legend has it that the giant sea stacks of Olympic Coast are the eyes of ancestors, then if loons eat, sleep, and spend almost all their time in the water, then most basil seeds look like seeds. Once we know rats are omnivorous, aggressive, intelligent, adaptable, and extremely fecund, we also know that if loons eat, sleep, and spend almost all their time in the water, then most basil seeds look like seeds. Given that the statement 'if most basil seeds look like seeds, then narwhals have (part) breasts' can be considered false, it can be inferred that public deliberation is a process of open but structured dialogue about issues of concern. One may reasonably assume that if if aquaculture is a booming industry, then radiation therapy uses x-rays or other high energy rays to kill cancer cells and shrink tumors, then some people mistakenly believe that public deliberation is a process of open but structured dialogue about issues of concern. On the condition that aquaculture is a booming industry, it is definitely the case that radiation therapy uses x-rays or other high energy rays to kill cancer cells and shrink tumors.
|
It is fair to say that narwhals have (part) breasts.
|
It is fair to say that narwhals have (part) breasts.
|
TRUE
|
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]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then [3].).
If [6], then (If [1], then [3].).
Therefore, If [1], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [0].).), then [4].
Not [4]. [SC2-3]
Therefore, If [3], then [0]..
[SC2-3]
Modus Ponens:
If (If [7], then [8].), then (Not [4].).
If [7], then [8].
Therefore, Not [4]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2].
Therefore, [1].
|
{0: 'Narwhals have (part) breasts.', 1: 'Loons eat, sleep, and spend almost all their time in the water.', 2: 'Attitudes play an important part in stress management.', 3: 'Most basil seeds look like seeds.', 4: 'Public deliberation is a process of open but structured dialogue about issues of concern.', 5: 'Indian legend has it that the giant sea stacks of Olympic Coast are the eyes of ancestors.', 6: 'Rats are omnivorous, aggressive, intelligent, adaptable, and extremely fecund.', 7: 'Aquaculture is a booming industry.', 8: 'Radiation therapy uses x-rays or other high energy rays to kill cancer cells and shrink tumors.'}
| 6 |
5,715 |
['Either one or both of these statements are true: fluorescent lighting is one of the more common sources of electrostatic noise, or animals are more important for methane emissions.', "It is a fact that either manatees use their lips and front flippers to move the plants into the mouth or the statement that 'african savannas are generally drier than the grass- lands of North America ' is incorrect.", 'Once we know african antelopes live in safety, we also know that if fluorescent lighting is one of the more common sources of electrostatic noise, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages.', 'It is the case that african antelopes live in safety.', 'When the claim that if animals are more important for methane emissions, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages has no merit is true, it follows that either a modifier is a word or mitochondria are the energy-producing powerhouses of the cell.', "Whenever it is true that the claim that if animals are more important for methane emissions, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages has no merit, 'the claim that either a modifier is a word or mitochondria are the energy-producing powerhouses of the cell is false' is true.", "Once we know pressure washers are alot like vacuum washers, we also know that the statement 'manatees use their lips and front flippers to move the plants into the mouth' can be considered false.", 'Many people rightly believe that pressure washers are alot like vacuum washers.']
|
Either one or both of these statements are true: fluorescent lighting is one of the more common sources of electrostatic noise, or animals are more important for methane emissions. It is a fact that either manatees use their lips and front flippers to move the plants into the mouth or the statement that 'african savannas are generally drier than the grass- lands of North America ' is incorrect. Once we know african antelopes live in safety, we also know that if fluorescent lighting is one of the more common sources of electrostatic noise, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages. It is the case that african antelopes live in safety. When the claim that if animals are more important for methane emissions, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages has no merit is true, it follows that either a modifier is a word or mitochondria are the energy-producing powerhouses of the cell. Whenever it is true that the claim that if animals are more important for methane emissions, then either african savannas are generally drier than the grass- lands of North America or information media are multimedia, including text, images, voice, video, and their inter-linkages has no merit, 'the claim that either a modifier is a word or mitochondria are the energy-producing powerhouses of the cell is false' is true. Once we know pressure washers are alot like vacuum washers, we also know that the statement 'manatees use their lips and front flippers to move the plants into the mouth' can be considered false. Many people rightly believe that pressure washers are alot like vacuum washers.
|
The statement that states information media are multimedia, including text, images, voice, video, and their inter-linkages is right.
|
The statement that states information media are multimedia, including text, images, voice, video, and their inter-linkages is right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [1] or [0].). [SC2-2]
If [3], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Ponens:
If [8], then (If [2], then (Either [1] or [0].).).
[8]
Therefore, If [2], then (Either [1] or [0].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [1] or [0].).).), then (Either [6] or [7].).
If (Not (If [3], then (Either [1] or [0].).).), then (Not (Either [6] or [7].).).
Therefore, If [3], then (Either [1] or [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
|
{0: 'Information media are multimedia, including text, images, voice, video, and their inter-linkages.', 1: 'African savannas are generally drier than the grass- lands of North America .', 2: 'Fluorescent lighting is one of the more common sources of electrostatic noise.', 3: 'Animals are more important for methane emissions.', 4: 'Manatees use their lips and front flippers to move the plants into the mouth.', 5: 'Pressure washers are alot like vacuum washers.', 6: 'A modifier is a word.', 7: 'Mitochondria are the energy-producing powerhouses of the cell.', 8: 'African antelopes live in safety.'}
| 6 |
5,744 |
['Should it be the case that the statement, if true love is blind to the sexes, then it is not true that herbicides degrade in the soil by either chemical or biological processes, does not hold, it follows that population declines in the snowshoe hare and the role of stress.', 'Some people mistakenly believe that population declines in the snowshoe hare and the role of stress.', "So long as we know that the claim that true love is blind to the sexes is false, 'the statement that states either most apes has-part legs or most fetuses have toenails is false' is true.", 'It is a fact that either most walnut trees grow on properties or electric current produces fields.', 'Given that most walnut trees grow on properties, it can be inferred that if we know that the claim that true love is blind to the sexes is false, then alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer.', 'Should it be the case that electric current produces fields, it follows that if we know that the claim that true love is blind to the sexes is false, then alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer.', 'Given that it is not the case that if alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer, then either most apes has-part legs or most fetuses have toenails, it can be inferred that animals are able to survive the dry conditions of the grasslands using their adaptations as well.', 'Assuming it is not the case that if alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer, then either most apes has-part legs or most fetuses have toenails, we know that the claim that animals are able to survive the dry conditions of the grasslands using their adaptations as well does not reflect reality.']
|
Should it be the case that the statement, if true love is blind to the sexes, then it is not true that herbicides degrade in the soil by either chemical or biological processes, does not hold, it follows that population declines in the snowshoe hare and the role of stress. Some people mistakenly believe that population declines in the snowshoe hare and the role of stress. So long as we know that the claim that true love is blind to the sexes is false, 'the statement that states either most apes has-part legs or most fetuses have toenails is false' is true. It is a fact that either most walnut trees grow on properties or electric current produces fields. Given that most walnut trees grow on properties, it can be inferred that if we know that the claim that true love is blind to the sexes is false, then alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer. Should it be the case that electric current produces fields, it follows that if we know that the claim that true love is blind to the sexes is false, then alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer. Given that it is not the case that if alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer, then either most apes has-part legs or most fetuses have toenails, it can be inferred that animals are able to survive the dry conditions of the grasslands using their adaptations as well. Assuming it is not the case that if alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer, then either most apes has-part legs or most fetuses have toenails, we know that the claim that animals are able to survive the dry conditions of the grasslands using their adaptations as well does not reflect reality.
|
It is not true that herbicides degrade in the soil by either chemical or biological processes.
|
It is not true that herbicides degrade in the soil by either chemical or biological processes.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [4].
Not [4].
Therefore, If [1], then (Not [0].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (Either [2] or [3].). [SC1-2]
If (Not [1].), then (Not (Either [2] or [3].).).
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [5]. [SC1-3]
If [5], then (Either [2] or [3].). [SC2-3]
Therefore, If (Not [1].), then (Either [2] or [3].)..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not [1].), then [5].).
If [8], then (If (Not [1].), then [5].).
Therefore, If (Not [1].), then [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [2] or [3].).).), then [6].
If (Not (If [5], then (Either [2] or [3].).).), then (Not [6].).
Therefore, If [5], then (Either [2] or [3].)..
|
{0: 'Herbicides degrade in the soil by either chemical or biological processes.', 1: 'True love is blind to the sexes.', 2: 'Most apes has-part legs.', 3: 'Most fetuses have toenails.', 4: 'Population declines in the snowshoe hare and the role of stress.', 5: 'Alcoholic cirrhosis is associated with an increased occurrence of chronic peptic ulcer.', 6: 'Animals are able to survive the dry conditions of the grasslands using their adaptations as well.', 7: 'Most walnut trees grow on properties.', 8: 'Electric current produces fields.'}
| 6 |
5,195 |
['On the condition that the statement that states if some blind children have more interest in color than others, just as some sighted children do, then citizenship can tie to economic and social development, especially in a sustainable manner is false, it is definitely the case that football is by far the most popular sport in Sierra Leone .', 'On the condition that the statement that states if some blind children have more interest in color than others, just as some sighted children do, then citizenship can tie to economic and social development, especially in a sustainable manner is false, it is definitely the case that the claim that football is by far the most popular sport in Sierra Leone has no merit.', 'It is true that bats come out when people go in.', "On the condition that we know that the claim that if the statement that 'some blind children have more interest in color than others, just as some sighted children do' is incorrect, then the claim that snails are surprisingly strong for their size, and are able to climb to the top of almost any tank has no merit is false, it is definitely the case that fuchsias grow best in a light, rich, slightly acid, sandy loam with plenty of drainage.", 'Some people mistakenly believe that fuchsias grow best in a light, rich, slightly acid, sandy loam with plenty of drainage.', "Either one or both of these statements are true: some vaccines take six weeks to become highly effective, or if bats come out when people go in, then if the statement that 'some blind children have more interest in color than others, just as some sighted children do' is incorrect, then snails are surprisingly strong for their size, and are able to climb to the top of almost any tank.", 'It is a common misconception that some vaccines take six weeks to become highly effective.']
|
On the condition that the statement that states if some blind children have more interest in color than others, just as some sighted children do, then citizenship can tie to economic and social development, especially in a sustainable manner is false, it is definitely the case that football is by far the most popular sport in Sierra Leone . On the condition that the statement that states if some blind children have more interest in color than others, just as some sighted children do, then citizenship can tie to economic and social development, especially in a sustainable manner is false, it is definitely the case that the claim that football is by far the most popular sport in Sierra Leone has no merit. It is true that bats come out when people go in. On the condition that we know that the claim that if the statement that 'some blind children have more interest in color than others, just as some sighted children do' is incorrect, then the claim that snails are surprisingly strong for their size, and are able to climb to the top of almost any tank has no merit is false, it is definitely the case that fuchsias grow best in a light, rich, slightly acid, sandy loam with plenty of drainage. Some people mistakenly believe that fuchsias grow best in a light, rich, slightly acid, sandy loam with plenty of drainage. Either one or both of these statements are true: some vaccines take six weeks to become highly effective, or if bats come out when people go in, then if the statement that 'some blind children have more interest in color than others, just as some sighted children do' is incorrect, then snails are surprisingly strong for their size, and are able to climb to the top of almost any tank. It is a common misconception that some vaccines take six weeks to become highly effective.
|
The claim that citizenship can tie to economic and social development, especially in a sustainable manner is true.
|
The statement 'citizenship can tie to economic and social development, especially in a sustainable manner' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].).
Therefore, If [1], then [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [3]. [SC1-2]
If (Not [1].), then (Not [3].). [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [4], then (If (Not [1].), then [3].). [SC1-3]
[4]
Therefore, If (Not [1].), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If (Not [1].), then [3].).).
Not [6].
Therefore, If [4], then (If (Not [1].), then [3].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not [1].), then (Not [3].).).), then [5].
Not [5].
Therefore, If (Not [1].), then (Not [3].)..
|
{0: 'Citizenship can tie to economic and social development, especially in a sustainable manner.', 1: 'Some blind children have more interest in color than others, just as some sighted children do.', 2: 'Football is by far the most popular sport in Sierra Leone .', 3: 'Snails are surprisingly strong for their size, and are able to climb to the top of almost any tank.', 4: 'Bats come out when people go in.', 5: 'Fuchsias grow best in a light, rich, slightly acid, sandy loam with plenty of drainage.', 6: 'Some vaccines take six weeks to become highly effective.'}
| 6 |
5,191 |
['One may reasonably assume that if television shows are full of openly gay characters, then fluid pumps can often overcome the resistance created by positional changes.', 'Once we know citation refers to an intention to highlight a phrase or word, we also know that if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then the claim that fluid pumps can often overcome the resistance created by positional changes does not reflect reality.', 'Either head lice are parasites that feed by piercing the scalp and sucking blood or either interpersonal relationships deteriorate rapidly when others respond with real hostility or animal shelter is shelter.', 'Once we know head lice are parasites that feed by piercing the scalp and sucking blood, we also know that if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then television shows are full of openly gay characters.', 'One may reasonably assume that if either interpersonal relationships deteriorate rapidly when others respond with real hostility or animal shelter is shelter, then if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then television shows are full of openly gay characters.', 'If the claim that either breast fed babies are less likely to get colic and infantile allergies than artificially fed babies or citation refers to an intention to highlight a phrase or word does not reflect reality, then if public art recognizes and celebrates the importance of art outside galleries and museums, then gametophytes produce female organs.', 'When the claim that either breast fed babies are less likely to get colic and infantile allergies than artificially fed babies or citation refers to an intention to highlight a phrase or word does not reflect reality is true, it follows that it is not the case that if public art recognizes and celebrates the importance of art outside galleries and museums, then gametophytes produce female organs.', 'One may reasonably assume that if quartile values divide a sample of hospitals into four groups equal in number, then if breast fed babies are less likely to get colic and infantile allergies than artificially fed babies, then if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then the claim that fluid pumps can often overcome the resistance created by positional changes does not reflect reality.', 'We can assume that quartile values divide a sample of hospitals into four groups equal in number.']
|
One may reasonably assume that if television shows are full of openly gay characters, then fluid pumps can often overcome the resistance created by positional changes. Once we know citation refers to an intention to highlight a phrase or word, we also know that if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then the claim that fluid pumps can often overcome the resistance created by positional changes does not reflect reality. Either head lice are parasites that feed by piercing the scalp and sucking blood or either interpersonal relationships deteriorate rapidly when others respond with real hostility or animal shelter is shelter. Once we know head lice are parasites that feed by piercing the scalp and sucking blood, we also know that if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then television shows are full of openly gay characters. One may reasonably assume that if either interpersonal relationships deteriorate rapidly when others respond with real hostility or animal shelter is shelter, then if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then television shows are full of openly gay characters. If the claim that either breast fed babies are less likely to get colic and infantile allergies than artificially fed babies or citation refers to an intention to highlight a phrase or word does not reflect reality, then if public art recognizes and celebrates the importance of art outside galleries and museums, then gametophytes produce female organs. When the claim that either breast fed babies are less likely to get colic and infantile allergies than artificially fed babies or citation refers to an intention to highlight a phrase or word does not reflect reality is true, it follows that it is not the case that if public art recognizes and celebrates the importance of art outside galleries and museums, then gametophytes produce female organs. One may reasonably assume that if quartile values divide a sample of hospitals into four groups equal in number, then if breast fed babies are less likely to get colic and infantile allergies than artificially fed babies, then if it is a common misconception that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files, then the claim that fluid pumps can often overcome the resistance created by positional changes does not reflect reality. We can assume that quartile values divide a sample of hospitals into four groups equal in number.
|
There is good reason to believe that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files.
|
There is good reason to believe that either plants produce microscopic round or oval pollen grains to reproduce or filters are commands that change files.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [3]. [SC1-2]
If [3], then [2].
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If (Not (Either [0] or [1].).), then [3].).
If (Either [10] or [11].), then (If (Not (Either [0] or [1].).), then [3].).
Therefore, If (Not (Either [0] or [1].).), then [3]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).). [SC2-2]
If [5], then (If (Not (Either [0] or [1].).), then (Not [2].).).
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (If [7], then [8].).
If (Not (Either [4] or [5].).), then (Not (If [7], then [8].).).
Therefore, Either [4] or [5]..
[SC2-2]
Modus Ponens:
If [6], then (If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).).).
[6]
Therefore, If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).)..
|
{0: 'Plants produce microscopic round or oval pollen grains to reproduce.', 1: 'Filters are commands that change files.', 2: 'Fluid pumps can often overcome the resistance created by positional changes.', 3: 'Television shows are full of openly gay characters.', 4: 'Breast fed babies are less likely to get colic and infantile allergies than artificially fed babies.', 5: 'Citation refers to an intention to highlight a phrase or word.', 6: 'Quartile values divide a sample of hospitals into four groups equal in number.', 7: 'Public art recognizes and celebrates the importance of art outside galleries and museums.', 8: 'Gametophytes produce female organs.', 9: 'Head lice are parasites that feed by piercing the scalp and sucking blood.', 10: 'Interpersonal relationships deteriorate rapidly when others respond with real hostility.', 11: 'Animal shelter is shelter.'}
| 6 |
5,628 |
['Should it be the case that some women work until the day they give birth and are back on the job in a week, it follows that memory loss is a state of mind.', 'Once we know the claim that some women work until the day they give birth and are back on the job in a week has no merit, we also know that the claim that all light colors can be slightly transparent when wet does not reflect reality.', 'Given that mental illness can affect people of any age, including children and young teens, it can be inferred that either general relativity explains gravity as the curvature of space- time by mass or if the claim that some women work until the day they give birth and are back on the job in a week has no merit, then all light colors can be slightly transparent when wet.', 'It is fair to say that mental illness can affect people of any age, including children and young teens.', 'The statement, flooding can modify soil characteristics in many ways, does not hold.', 'We know that either giraffes are easy to identify with their long necks, skinny legs and distinctive spotted markings or either flooding can modify soil characteristics in many ways or those that suggest general relativity explains gravity as the curvature of space- time by mass are wrong.', 'The statement that states giraffes are easy to identify with their long necks, skinny legs and distinctive spotted markings is false.']
|
Should it be the case that some women work until the day they give birth and are back on the job in a week, it follows that memory loss is a state of mind. Once we know the claim that some women work until the day they give birth and are back on the job in a week has no merit, we also know that the claim that all light colors can be slightly transparent when wet does not reflect reality. Given that mental illness can affect people of any age, including children and young teens, it can be inferred that either general relativity explains gravity as the curvature of space- time by mass or if the claim that some women work until the day they give birth and are back on the job in a week has no merit, then all light colors can be slightly transparent when wet. It is fair to say that mental illness can affect people of any age, including children and young teens. The statement, flooding can modify soil characteristics in many ways, does not hold. We know that either giraffes are easy to identify with their long necks, skinny legs and distinctive spotted markings or either flooding can modify soil characteristics in many ways or those that suggest general relativity explains gravity as the curvature of space- time by mass are wrong. The statement that states giraffes are easy to identify with their long necks, skinny legs and distinctive spotted markings is false.
|
The statement 'memory loss is a state of mind' can be considered true.
|
It is not the case that memory loss is a state of mind.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If (Not [1].), then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC1-3]
Modus Ponens:
If [4], then (Either [3] or (If (Not [1].), then [2].).).
[4]
Therefore, Either [3] or (If (Not [1].), then [2].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [3].). [SC1-4]
Not [5].
Therefore, Not [3]..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (Either [5] or (Not [3].).).
Not [6].
Therefore, Either [5] or (Not [3].)..
|
{0: 'Memory loss is a state of mind.', 1: 'Some women work until the day they give birth and are back on the job in a week.', 2: 'All light colors can be slightly transparent when wet.', 3: 'General relativity explains gravity as the curvature of space- time by mass.', 4: 'Mental illness can affect people of any age, including children and young teens.', 5: 'Flooding can modify soil characteristics in many ways.', 6: 'Giraffes are easy to identify with their long necks, skinny legs and distinctive spotted markings.'}
| 6 |
5,536 |
['The statement, shame is the flipside of guilt, does not hold.', 'Some people mistakenly believe that if roses have thorns, and filvers foutians mud, then some countries are already in serious population decline, such as Russia.', "One may reasonably assume that if wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans, then either if roses have thorns, and filvers foutians mud, then some countries are already in serious population decline, such as Russia or if the statement 'astrologers use a representation of the zodiac to draw a chart called a horoscope' can be considered false, then shame is the flipside of guilt.", 'One may reasonably assume that if interdependence is the central concept of groups, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans.', 'It is a fact that either if alligators are also important to maintaining the viability of marshes, then some acid is formed by oxidation or if chronic pain is a tricky area of medicine, then neutralization is an override.', 'One may reasonably assume that if if alligators are also important to maintaining the viability of marshes, then some acid is formed by oxidation, then large animals lean and rub themselves on corners and uprights, same principles apply to fencing.', 'If if chronic pain is a tricky area of medicine, then neutralization is an override, then interdependence is the central concept of groups.', "Assuming the statement 'if large animals lean and rub themselves on corners and uprights, same principles apply to fencing, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans' can be considered false, we know that hedgehogs rely heavily on their hearing and so are very responsive to sound.", "Should it be the case that the statement 'if large animals lean and rub themselves on corners and uprights, same principles apply to fencing, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans' can be considered false, it follows that the notion that 'hedgehogs rely heavily on their hearing and so are very responsive to sound' is untrue."]
|
The statement, shame is the flipside of guilt, does not hold. Some people mistakenly believe that if roses have thorns, and filvers foutians mud, then some countries are already in serious population decline, such as Russia. One may reasonably assume that if wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans, then either if roses have thorns, and filvers foutians mud, then some countries are already in serious population decline, such as Russia or if the statement 'astrologers use a representation of the zodiac to draw a chart called a horoscope' can be considered false, then shame is the flipside of guilt. One may reasonably assume that if interdependence is the central concept of groups, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans. It is a fact that either if alligators are also important to maintaining the viability of marshes, then some acid is formed by oxidation or if chronic pain is a tricky area of medicine, then neutralization is an override. One may reasonably assume that if if alligators are also important to maintaining the viability of marshes, then some acid is formed by oxidation, then large animals lean and rub themselves on corners and uprights, same principles apply to fencing. If if chronic pain is a tricky area of medicine, then neutralization is an override, then interdependence is the central concept of groups. Assuming the statement 'if large animals lean and rub themselves on corners and uprights, same principles apply to fencing, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans' can be considered false, we know that hedgehogs rely heavily on their hearing and so are very responsive to sound. Should it be the case that the statement 'if large animals lean and rub themselves on corners and uprights, same principles apply to fencing, then wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans' can be considered false, it follows that the notion that 'hedgehogs rely heavily on their hearing and so are very responsive to sound' is untrue.
|
We can assume that astrologers use a representation of the zodiac to draw a chart called a horoscope.
|
The claim that astrologers use a representation of the zodiac to draw a chart called a horoscope is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then [1].). [SC1-2]
Not (If [2], then [3].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [4], then (Either (If [2], then [3].) or (If (Not [0].), then [1].).).
[4] [SC2-3]
Therefore, Either (If [2], then [3].) or (If (Not [0].), then [1].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then [4]. [SC2-4]
If [6], then [4].
Therefore, [4].
[SC1-4]
Constructive Dilemma:
Either (If [7], then [8].) or (If [9], then [10].).
If (If [7], then [8].), then [5].
If (If [9], then [10].), then [6].
Therefore, Either [5] or [6]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [5], then [4].).), then [11].
If (Not (If [5], then [4].).), then (Not [11].).
Therefore, If [5], then [4]..
|
{0: 'Astrologers use a representation of the zodiac to draw a chart called a horoscope.', 1: 'Shame is the flipside of guilt.', 2: 'Roses have thorns, and filvers foutians mud.', 3: 'Some countries are already in serious population decline, such as Russia.', 4: 'Wax paper is moistureproof and almost transparent, often used to cover foods and line baking pans.', 5: 'Large animals lean and rub themselves on corners and uprights, same principles apply to fencing.', 6: 'Interdependence is the central concept of groups.', 7: 'Alligators are also important to maintaining the viability of marshes.', 8: 'Some acid is formed by oxidation.', 9: 'Chronic pain is a tricky area of medicine.', 10: 'Neutralization is an override.', 11: 'Hedgehogs rely heavily on their hearing and so are very responsive to sound.'}
| 6 |
5,880 |
["So long as the notion that 'if bacteria are the simplest, most primitive forms of life on Earth, then we know that the claim that most rabbits serve as food is false' is untrue, 'extreme obesity is associated with many physical and mental disorders' is true.", 'Once we know extreme obesity is associated with many physical and mental disorders, we also know that erasers are located in pencils.', 'On the condition that extreme obesity is associated with many physical and mental disorders, it is definitely the case that we know that the claim that erasers are located in pencils is false.', "It is rational to believe that either either internet Marketing is the small business person's dream come true or botanists can scan their botanical specimens a lot more accurately, in color or if it is not true that bacteria are the simplest, most primitive forms of life on Earth, then deletion mutations result from missing base pairs after DNA repair.", "Those that suggest either internet Marketing is the small business person's dream come true or botanists can scan their botanical specimens a lot more accurately, in color are wrong.", 'On the condition that it is not true that bacteria are the simplest, most primitive forms of life on Earth, it is definitely the case that today there are multiple standards for sound, while standards for images remain in their infancy.', 'One may reasonably assume that if today there are multiple standards for sound, while standards for images remain in their infancy, then the statement, deletion mutations result from missing base pairs after DNA repair, does not hold.']
|
So long as the notion that 'if bacteria are the simplest, most primitive forms of life on Earth, then we know that the claim that most rabbits serve as food is false' is untrue, 'extreme obesity is associated with many physical and mental disorders' is true. Once we know extreme obesity is associated with many physical and mental disorders, we also know that erasers are located in pencils. On the condition that extreme obesity is associated with many physical and mental disorders, it is definitely the case that we know that the claim that erasers are located in pencils is false. It is rational to believe that either either internet Marketing is the small business person's dream come true or botanists can scan their botanical specimens a lot more accurately, in color or if it is not true that bacteria are the simplest, most primitive forms of life on Earth, then deletion mutations result from missing base pairs after DNA repair. Those that suggest either internet Marketing is the small business person's dream come true or botanists can scan their botanical specimens a lot more accurately, in color are wrong. On the condition that it is not true that bacteria are the simplest, most primitive forms of life on Earth, it is definitely the case that today there are multiple standards for sound, while standards for images remain in their infancy. One may reasonably assume that if today there are multiple standards for sound, while standards for images remain in their infancy, then the statement, deletion mutations result from missing base pairs after DNA repair, does not hold.
|
We know that the claim that most rabbits serve as food is false.
|
It is true that most rabbits serve as food.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [7].
If [2], then (Not [7].).
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [3]. [SC1-2]
If (Not [1].), then (Not [3].). [SC2-2]
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If (Not [1].), then [3].).
Not (Either [5] or [6].).
Therefore, If (Not [1].), then [3]..
[SC2-2]
Hypothetical Syllogism:
If (Not [1].), then [4].
If [4], then (Not [3].).
Therefore, If (Not [1].), then (Not [3].)..
|
{0: 'Most rabbits serve as food.', 1: 'Bacteria are the simplest, most primitive forms of life on Earth.', 2: 'Extreme obesity is associated with many physical and mental disorders.', 3: 'Deletion mutations result from missing base pairs after DNA repair.', 4: 'Today there are multiple standards for sound, while standards for images remain in their infancy.', 5: "Internet Marketing is the small business person's dream come true.", 6: 'Botanists can scan their botanical specimens a lot more accurately, in color.', 7: 'Erasers are located in pencils.'}
| 6 |
5,164 |
['If rabbits live in grass, then either knee tarantulas have abdomens or mistletoes have shape leaves.', 'On the condition that either knee tarantulas have abdomens or mistletoes have shape leaves, it is definitely the case that many women deal with domestic violence everyday.', 'It is rational to believe that either either echinoderms make excellent throwing stars or bacterial pneumonia is the most common complication of whooping cough or ground water lives in the geology.', 'If either echinoderms make excellent throwing stars or bacterial pneumonia is the most common complication of whooping cough, then rabbits live in grass.', "It is rational to believe that either if bride isa someone, then most people know a bird when they see one or if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then windmills supply the water for home and stock.", "The statement 'if bride isa someone, then most people know a bird when they see one' can be considered false.", 'There is good reason to believe that either either most heavy smokers have some chronic bronchiolitis and respiratory bronchiolitis or hybrids are works which deny fathers or body parts are part of organisms.', "One may reasonably assume that if either most heavy smokers have some chronic bronchiolitis and respiratory bronchiolitis or hybrids are works which deny fathers, then if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then we know that the claim that windmills supply the water for home and stock is false.", "Provided that body parts are part of organisms, we know that if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then we know that the claim that windmills supply the water for home and stock is false."]
|
If rabbits live in grass, then either knee tarantulas have abdomens or mistletoes have shape leaves. On the condition that either knee tarantulas have abdomens or mistletoes have shape leaves, it is definitely the case that many women deal with domestic violence everyday. It is rational to believe that either either echinoderms make excellent throwing stars or bacterial pneumonia is the most common complication of whooping cough or ground water lives in the geology. If either echinoderms make excellent throwing stars or bacterial pneumonia is the most common complication of whooping cough, then rabbits live in grass. It is rational to believe that either if bride isa someone, then most people know a bird when they see one or if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then windmills supply the water for home and stock. The statement 'if bride isa someone, then most people know a bird when they see one' can be considered false. There is good reason to believe that either either most heavy smokers have some chronic bronchiolitis and respiratory bronchiolitis or hybrids are works which deny fathers or body parts are part of organisms. One may reasonably assume that if either most heavy smokers have some chronic bronchiolitis and respiratory bronchiolitis or hybrids are works which deny fathers, then if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then we know that the claim that windmills supply the water for home and stock is false. Provided that body parts are part of organisms, we know that if the statement that 'if ground water lives in the geology, then rabbits live in grass' is incorrect, then we know that the claim that windmills supply the water for home and stock is false.
|
It is the case that many women deal with domestic violence everyday.
|
Some women have breast cancer.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then (Either [2] or [3].).
If (Either [2] or [3].), then [0].
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then [1].
If [6], then [1]. [SC3-2]
Therefore, [1].
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [6], then [1].).), then [7]. [SC1-3]
If (Not (If [6], then [1].).), then (Not [7].). [SC2-3]
Therefore, If [6], then [1]..
[SC1-3]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If (Not (If [6], then [1].).), then [7].).
Not (If [11], then [12].).
Therefore, If (Not (If [6], then [1].).), then [7]..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If (Not (If [6], then [1].).), then (Not [7].).).
If [10], then (If (Not (If [6], then [1].).), then (Not [7].).).
Therefore, If (Not (If [6], then [1].).), then (Not [7].)..
|
{0: 'Many women deal with domestic violence everyday.', 1: 'Rabbits live in grass.', 2: 'Knee tarantulas have abdomens.', 3: 'Mistletoes have shape leaves.', 4: 'Echinoderms make excellent throwing stars.', 5: 'Bacterial pneumonia is the most common complication of whooping cough.', 6: 'Ground water lives in the geology.', 7: 'Windmills supply the water for home and stock.', 8: 'Most heavy smokers have some chronic bronchiolitis and respiratory bronchiolitis.', 9: 'Hybrids are works which deny fathers.', 10: 'Body parts are part of organisms.', 11: 'Bride isa someone.', 12: 'Most people know a bird when they see one.'}
| 6 |
5,106 |
["There is good reason to believe that either email boxes are analogous to post office boxes in the physical world or if either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers, then green space increases oxygen production, reduces rain water run off and provides bird habitat.", "The statement 'email boxes are analogous to post office boxes in the physical world' can be considered false.", "Should it be the case that either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers, it follows that tequila comes in three basic quality levels - silver, gold and anejo.", 'Should it be the case that twin primes are prime numbers that differ by two, it follows that either habitat destruction is the leading cause of species endangerment and extinction or if tequila comes in three basic quality levels - silver, gold and anejo, then we know that the claim that green space increases oxygen production, reduces rain water run off and provides bird habitat is false.', 'Those that suggest twin primes are prime numbers that differ by two are right.', 'Once we know habitat destruction is the leading cause of species endangerment and extinction, we also know that people only die in water because of the currents.', 'Those that suggest people only die in water because of the currents are wrong.']
|
There is good reason to believe that either email boxes are analogous to post office boxes in the physical world or if either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers, then green space increases oxygen production, reduces rain water run off and provides bird habitat. The statement 'email boxes are analogous to post office boxes in the physical world' can be considered false. Should it be the case that either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers, it follows that tequila comes in three basic quality levels - silver, gold and anejo. Should it be the case that twin primes are prime numbers that differ by two, it follows that either habitat destruction is the leading cause of species endangerment and extinction or if tequila comes in three basic quality levels - silver, gold and anejo, then we know that the claim that green space increases oxygen production, reduces rain water run off and provides bird habitat is false. Those that suggest twin primes are prime numbers that differ by two are right. Once we know habitat destruction is the leading cause of species endangerment and extinction, we also know that people only die in water because of the currents. Those that suggest people only die in water because of the currents are wrong.
|
It is not the case that either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers.
|
It is rational to believe that either tyrannosaurus indulge in a ritual called 'courtship feeding' or pollination also requires consideration of pollenizers.
|
FALSE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (Either [0] or [1].), then [2].).
Not [4].
Therefore, If (Either [0] or [1].), then [2]..
[SC2-1]
Hypothetical Syllogism:
If (Either [0] or [1].), then [3].
If [3], then (Not [2].). [SC2-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [3], then (Not [2].).). [SC1-3]
Not [5]. [SC2-3]
Therefore, If [3], then (Not [2].)..
[SC1-3]
Modus Ponens:
If [6], then (Either [5] or (If [3], then (Not [2].).).).
[6]
Therefore, Either [5] or (If [3], then (Not [2].).)..
[SC2-3]
Modus Tonens:
If [5], then [7].
Not [7].
Therefore, Not [5]..
|
{0: "Tyrannosaurus indulge in a ritual called 'courtship feeding'.", 1: 'Pollination also requires consideration of pollenizers.', 2: 'Green space increases oxygen production, reduces rain water run off and provides bird habitat.', 3: 'Tequila comes in three basic quality levels - silver, gold and anejo.', 4: 'Email boxes are analogous to post office boxes in the physical world.', 5: 'Habitat destruction is the leading cause of species endangerment and extinction.', 6: 'Twin primes are prime numbers that differ by two.', 7: 'People only die in water because of the currents.'}
| 6 |
5,016 |
['Provided that the statement, evangelism is an essential component of a virus of the mind, does not hold, we know that most food comes from mothers.', 'If titania has the start of faulting and fissure eruptions, in addition to some crater-filling, then either tug-of-war isa conflict or scientists know that sound waves in the atmosphere correspond to similar waves underground.', 'Many people rightly believe that titania has the start of faulting and fissure eruptions, in addition to some crater-filling.', 'Given that the claim that if tug-of-war isa conflict, then it is a common misconception that most food comes from mothers does not correspond with reality, it can be inferred that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment.', 'When the claim that if scientists know that sound waves in the atmosphere correspond to similar waves underground, then it is a common misconception that most food comes from mothers is false is true, it follows that if an arbitrageur is a businessman, then inhalants are depressants which, like their relatives, the anesthetic gases, initially stimulate.', 'We know that the claim that if an arbitrageur is a businessman, then inhalants are depressants which, like their relatives, the anesthetic gases, initially stimulate is false.', "Whenever it is true that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment, 'many countries face major challenges in managing the impact of pollution, especially in big cities' is true.", 'Provided that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment, we know that it is not the case that many countries face major challenges in managing the impact of pollution, especially in big cities.']
|
Provided that the statement, evangelism is an essential component of a virus of the mind, does not hold, we know that most food comes from mothers. If titania has the start of faulting and fissure eruptions, in addition to some crater-filling, then either tug-of-war isa conflict or scientists know that sound waves in the atmosphere correspond to similar waves underground. Many people rightly believe that titania has the start of faulting and fissure eruptions, in addition to some crater-filling. Given that the claim that if tug-of-war isa conflict, then it is a common misconception that most food comes from mothers does not correspond with reality, it can be inferred that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment. When the claim that if scientists know that sound waves in the atmosphere correspond to similar waves underground, then it is a common misconception that most food comes from mothers is false is true, it follows that if an arbitrageur is a businessman, then inhalants are depressants which, like their relatives, the anesthetic gases, initially stimulate. We know that the claim that if an arbitrageur is a businessman, then inhalants are depressants which, like their relatives, the anesthetic gases, initially stimulate is false. Whenever it is true that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment, 'many countries face major challenges in managing the impact of pollution, especially in big cities' is true. Provided that if most silverfishs prefer moderate temperature, then many common microorganisms have the potential to be pathogens in a hospital environment, we know that it is not the case that many countries face major challenges in managing the impact of pollution, especially in big cities.
|
The statement 'evangelism is an essential component of a virus of the mind' is true.
|
It is not the case that evangelism is an essential component of a virus of the mind.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [6], then (Either [2] or [3].).
[6]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then (If [7], then [8].).
Not (If [7], then [8].). [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [7], then [8].), then [9].
If (If [7], then [8].), then (Not [9].).
Therefore, Not (If [7], then [8].)..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then (If [4], then [5].).
Not (If [4], then [5].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Evangelism is an essential component of a virus of the mind.', 1: 'Most food comes from mothers.', 2: 'Tug-of-war isa conflict.', 3: 'Scientists know that sound waves in the atmosphere correspond to similar waves underground.', 4: 'An arbitrageur is a businessman.', 5: 'Inhalants are depressants which, like their relatives, the anesthetic gases, initially stimulate.', 6: 'Titania has the start of faulting and fissure eruptions, in addition to some crater-filling.', 7: 'Most silverfishs prefer moderate temperature.', 8: 'Many common microorganisms have the potential to be pathogens in a hospital environment.', 9: 'Many countries face major challenges in managing the impact of pollution, especially in big cities.'}
| 6 |
5,575 |
["So long as pet shops sell food, 'bees have (part) thoraxes' is true.", 'One may reasonably assume that if bees have (part) thoraxes, then current electricity is a flow of negative charges through a conductor in a closed circuit.', "When it is not the case that if bees have (part) thoraxes, then the notion that 'current electricity is a flow of negative charges through a conductor in a closed circuit' is untrue is true, it follows that earth contains elements.", 'It is rational to believe that either tenure is situations or if earth contains elements, then goldfinches have (part) talons.', 'The statement, tenure is situations, does not hold.', 'Either earned income includes wages, salaries, commissions, and self-employment income or if earth contains elements, then the claim that goldfinches have (part) talons does not reflect reality.', "The statement 'earned income includes wages, salaries, commissions, and self-employment income' can be considered false."]
|
So long as pet shops sell food, 'bees have (part) thoraxes' is true. One may reasonably assume that if bees have (part) thoraxes, then current electricity is a flow of negative charges through a conductor in a closed circuit. When it is not the case that if bees have (part) thoraxes, then the notion that 'current electricity is a flow of negative charges through a conductor in a closed circuit' is untrue is true, it follows that earth contains elements. It is rational to believe that either tenure is situations or if earth contains elements, then goldfinches have (part) talons. The statement, tenure is situations, does not hold. Either earned income includes wages, salaries, commissions, and self-employment income or if earth contains elements, then the claim that goldfinches have (part) talons does not reflect reality. The statement 'earned income includes wages, salaries, commissions, and self-employment income' can be considered false.
|
It is not true that pet shops sell food.
|
It is reasonable to believe that pet shops sell food.
|
FALSE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not [2].).).), then [3].
Not [3]. [SC2-3]
Therefore, If [1], then (Not [2].)..
[SC2-3]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-4]
If [3], then (Not [4].). [SC2-4]
Therefore, Not [3]..
[SC1-4]
Disjunctive Syllogism:
Either [5] or (If [3], then [4].).
Not [5].
Therefore, If [3], then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (If [3], then (Not [4].).).
Not [6].
Therefore, If [3], then (Not [4].)..
|
{0: 'Pet shops sell food.', 1: 'Bees have (part) thoraxes.', 2: 'Current electricity is a flow of negative charges through a conductor in a closed circuit.', 3: 'Earth contains elements.', 4: 'Goldfinches have (part) talons.', 5: 'Tenure is situations.', 6: 'Earned income includes wages, salaries, commissions, and self-employment income.'}
| 6 |
5,925 |
["Should it be the case that brain cells are nerve cells, it follows that the statement that 'photocells turn lights on and off in response to natural light levels' is incorrect.", 'Should it be the case that if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe, it follows that photocells turn lights on and off in response to natural light levels.', 'Provided that brain cells are nerve cells, we know that animals are no different from humans.', 'When animals are no different from humans is true, it follows that most human being has characteristics.', 'Either octahedral crystals do occur, but are very rare or most diploid sporophytes produce diploid spores.', 'When octahedral crystals do occur, but are very rare is true, it follows that if most human being has characteristics, then if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe.', 'It is a fact that either vegetation needs soil with lots of nutrients or if most diploid sporophytes produce diploid spores, then if most human being has characteristics, then if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe.', 'It is a common misconception that vegetation needs soil with lots of nutrients.']
|
Should it be the case that brain cells are nerve cells, it follows that the statement that 'photocells turn lights on and off in response to natural light levels' is incorrect. Should it be the case that if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe, it follows that photocells turn lights on and off in response to natural light levels. Provided that brain cells are nerve cells, we know that animals are no different from humans. When animals are no different from humans is true, it follows that most human being has characteristics. Either octahedral crystals do occur, but are very rare or most diploid sporophytes produce diploid spores. When octahedral crystals do occur, but are very rare is true, it follows that if most human being has characteristics, then if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe. It is a fact that either vegetation needs soil with lots of nutrients or if most diploid sporophytes produce diploid spores, then if most human being has characteristics, then if most people change jobs multiple times in their lives, then rock climbing is the arena of the adventurous, a constantly increasing tribe. It is a common misconception that vegetation needs soil with lots of nutrients.
|
The statement that 'brain cells are nerve cells' is incorrect.
|
Those that suggest brain cells are nerve cells are right.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then [1].
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If [0], then [4]. [SC1-3]
If [4], then (If [2], then [3].). [SC2-3]
Therefore, If [0], then (If [2], then [3].)..
[SC1-3]
Hypothetical Syllogism:
If [0], then [7].
If [7], then [4].
Therefore, If [0], then [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If [2], then [3].).).
If [6], then (If [4], then (If [2], then [3].).). [SC3-4]
Therefore, If [4], then (If [2], then [3].)..
[SC3-4]
Disjunctive Syllogism:
Either [8] or (If [6], then (If [4], then (If [2], then [3].).).).
Not [8].
Therefore, If [6], then (If [4], then (If [2], then [3].).)..
|
{0: 'Brain cells are nerve cells.', 1: 'Photocells turn lights on and off in response to natural light levels.', 2: 'Most people change jobs multiple times in their lives.', 3: 'Rock climbing is the arena of the adventurous, a constantly increasing tribe.', 4: 'Most human being has characteristics.', 5: 'Octahedral crystals do occur, but are very rare.', 6: 'Most diploid sporophytes produce diploid spores.', 7: 'Animals are no different from humans.', 8: 'Vegetation needs soil with lots of nutrients.'}
| 6 |
5,712 |
['Either if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves or curtains are, in a sense, visual aromas, gently wafting as they soothe and stimulate.', 'If curtains are, in a sense, visual aromas, gently wafting as they soothe and stimulate, then studies show that estrogen increases the risk of a woman developing breast cancer.', 'Either areas are used by herbivores or all earwigs have six hooked legs.', "So long as areas are used by herbivores, 'if if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves, then fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' is true.", 'When all earwigs have six hooked legs is true, it follows that if if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves, then fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass.', "On the condition that the claim that either if dendritic spines assume very different shapes, then steam engines are part of America s history or the statement 'fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' can be considered false does not reflect reality, it is definitely the case that worlds have (part) atmospheres.", "On the condition that the claim that either if dendritic spines assume very different shapes, then steam engines are part of America s history or the statement 'fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' can be considered false does not reflect reality, it is definitely the case that those that suggest worlds have (part) atmospheres are wrong.", "It is a fact that either causing are acts or the statement that 'if dendritic spines assume very different shapes, then steam engines are part of America s history' is incorrect.", 'Some people mistakenly believe that causing are acts.']
|
Either if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves or curtains are, in a sense, visual aromas, gently wafting as they soothe and stimulate. If curtains are, in a sense, visual aromas, gently wafting as they soothe and stimulate, then studies show that estrogen increases the risk of a woman developing breast cancer. Either areas are used by herbivores or all earwigs have six hooked legs. So long as areas are used by herbivores, 'if if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves, then fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' is true. When all earwigs have six hooked legs is true, it follows that if if renewable energy comes from sources with an unlimited supply, then some bulbs have leaves, then fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass. On the condition that the claim that either if dendritic spines assume very different shapes, then steam engines are part of America s history or the statement 'fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' can be considered false does not reflect reality, it is definitely the case that worlds have (part) atmospheres. On the condition that the claim that either if dendritic spines assume very different shapes, then steam engines are part of America s history or the statement 'fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass' can be considered false does not reflect reality, it is definitely the case that those that suggest worlds have (part) atmospheres are wrong. It is a fact that either causing are acts or the statement that 'if dendritic spines assume very different shapes, then steam engines are part of America s history' is incorrect. Some people mistakenly believe that causing are acts.
|
The idea that studies show that estrogen increases the risk of a woman developing breast cancer is true.
|
The idea that studies show that estrogen increases the risk of a woman developing breast cancer is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then [1]. [SC2-2]
If [4], then [0].
Therefore, Either [1] or [0]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [2], then [3].), then [1].).
If [10], then (If (If [2], then [3].), then [1].).
Therefore, If (If [2], then [3].), then [1]..
[SC2-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [1].). [SC1-2]
Not (If [5], then [6].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (If [5], then [6].) or (Not [1].).).), then [8].
If (Not (Either (If [5], then [6].) or (Not [1].).).), then (Not [8].).
Therefore, Either (If [5], then [6].) or (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not (If [5], then [6].).).
Not [7].
Therefore, Not (If [5], then [6].)..
|
{0: 'Studies show that estrogen increases the risk of a woman developing breast cancer.', 1: 'Fescue contains an endophyte fungus that lives in a symbiotic relationship with fescue grass.', 2: 'Renewable energy comes from sources with an unlimited supply.', 3: 'Some bulbs have leaves.', 4: 'Curtains are, in a sense, visual aromas, gently wafting as they soothe and stimulate.', 5: 'Dendritic spines assume very different shapes.', 6: 'Steam engines are part of America s history.', 7: 'Causing are acts.', 8: 'Worlds have (part) atmospheres.', 9: 'Areas are used by herbivores.', 10: 'All earwigs have six hooked legs.'}
| 6 |
5,540 |
["So long as the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, 'the statement that 'huge combines raise clouds of dust as they lumber across fields of soybeans and small grains' is incorrect' is true.", "Provided that the claim that if the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, then huge combines raise clouds of dust as they lumber across fields of soybeans and small grains has no merit, we know that manufacturing processes use up raw materials and create pollution.", "Assuming the statement 'if the claim that if the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, then huge combines raise clouds of dust as they lumber across fields of soybeans and small grains has no merit, then it is not true that storms fill ditches' can be considered false, we know that membranes are bifacial with distinct inside and outside faces.", 'Assuming manufacturing processes use up raw materials and create pollution, we know that grandmas have (part) corpi.', 'Provided that grandmas have (part) corpi, we know that storms fill ditches.', 'Either plumbers have special safety procedures and tools to minimize the risk of explosion or fire or high rises are used for eats.', 'Provided that plumbers have special safety procedures and tools to minimize the risk of explosion or fire, we know that the claim that membranes are bifacial with distinct inside and outside faces does not correspond with reality.', 'Should it be the case that high rises are used for eats, it follows that the claim that membranes are bifacial with distinct inside and outside faces does not correspond with reality.']
|
So long as the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, 'the statement that 'huge combines raise clouds of dust as they lumber across fields of soybeans and small grains' is incorrect' is true. Provided that the claim that if the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, then huge combines raise clouds of dust as they lumber across fields of soybeans and small grains has no merit, we know that manufacturing processes use up raw materials and create pollution. Assuming the statement 'if the claim that if the statement that 'furniture is a very personal item that is usually purchased from a base of emotions' is incorrect, then huge combines raise clouds of dust as they lumber across fields of soybeans and small grains has no merit, then it is not true that storms fill ditches' can be considered false, we know that membranes are bifacial with distinct inside and outside faces. Assuming manufacturing processes use up raw materials and create pollution, we know that grandmas have (part) corpi. Provided that grandmas have (part) corpi, we know that storms fill ditches. Either plumbers have special safety procedures and tools to minimize the risk of explosion or fire or high rises are used for eats. Provided that plumbers have special safety procedures and tools to minimize the risk of explosion or fire, we know that the claim that membranes are bifacial with distinct inside and outside faces does not correspond with reality. Should it be the case that high rises are used for eats, it follows that the claim that membranes are bifacial with distinct inside and outside faces does not correspond with reality.
|
Many people rightly believe that furniture is a very personal item that is usually purchased from a base of emotions.
|
Many people rightly believe that furniture is a very personal item that is usually purchased from a base of emotions.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [3].
If [3], then [2]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [7].
If [7], then [2].
Therefore, If [3], then [2]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Furniture is a very personal item that is usually purchased from a base of emotions.', 1: 'Huge combines raise clouds of dust as they lumber across fields of soybeans and small grains.', 2: 'Storms fill ditches.', 3: 'Manufacturing processes use up raw materials and create pollution.', 4: 'Membranes are bifacial with distinct inside and outside faces.', 5: 'Plumbers have special safety procedures and tools to minimize the risk of explosion or fire.', 6: 'High rises are used for eats.', 7: 'Grandmas have (part) corpi.'}
| 6 |
5,329 |
['Once we know either pandas live in bamboo forests in China or publications discuss preservation, we also know that we know that the claim that most primates occupy different habitats is false.', 'It is rational to believe that either most foxes emerge from dens or most ferns arise from rhizomes.', 'One may reasonably assume that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then the claim that placenta increta the villi are in the muscle wall is false.', 'Either one or both of these statements are true: art therapy is the creative use of art in a therapeutic setting, or if most ferns arise from rhizomes, then publications discuss preservation.', 'It is a fact that either if parasites cause spot diseases, then walnut tends to be brighter than mahogany, and sweeter than maple or colon cancer is one of the commonest cancers affecting both man and women.', 'When if parasites cause spot diseases, then walnut tends to be brighter than mahogany, and sweeter than maple is true, it follows that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then placenta increta the villi are in the muscle wall.', 'On the condition that colon cancer is one of the commonest cancers affecting both man and women, it is definitely the case that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then placenta increta the villi are in the muscle wall.', 'Once we know art therapy is the creative use of art in a therapeutic setting, we also know that pathogenic nematodes survive in cold climates.', 'Once we know art therapy is the creative use of art in a therapeutic setting, we also know that it is not the case that pathogenic nematodes survive in cold climates.']
|
Once we know either pandas live in bamboo forests in China or publications discuss preservation, we also know that we know that the claim that most primates occupy different habitats is false. It is rational to believe that either most foxes emerge from dens or most ferns arise from rhizomes. One may reasonably assume that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then the claim that placenta increta the villi are in the muscle wall is false. Either one or both of these statements are true: art therapy is the creative use of art in a therapeutic setting, or if most ferns arise from rhizomes, then publications discuss preservation. It is a fact that either if parasites cause spot diseases, then walnut tends to be brighter than mahogany, and sweeter than maple or colon cancer is one of the commonest cancers affecting both man and women. When if parasites cause spot diseases, then walnut tends to be brighter than mahogany, and sweeter than maple is true, it follows that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then placenta increta the villi are in the muscle wall. On the condition that colon cancer is one of the commonest cancers affecting both man and women, it is definitely the case that if the statement, if most foxes emerge from dens, then pandas live in bamboo forests in China, does not hold, then placenta increta the villi are in the muscle wall. Once we know art therapy is the creative use of art in a therapeutic setting, we also know that pathogenic nematodes survive in cold climates. Once we know art therapy is the creative use of art in a therapeutic setting, we also know that it is not the case that pathogenic nematodes survive in cold climates.
|
We know that the claim that most primates occupy different habitats is false.
|
The statement that states most primates use resources is false.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].).
Either [1] or [2]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [2]. [SC3-2]
Therefore, Either [1] or [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then [5]. [SC1-3]
If (Not (If [3], then [1].).), then (Not [5].).
Therefore, If [3], then [1]..
[SC1-3]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If (Not (If [3], then [1].).), then [5].).
If [10], then (If (Not (If [3], then [1].).), then [5].).
Therefore, If (Not (If [3], then [1].).), then [5]..
[SC3-2]
Disjunctive Syllogism:
Either [6] or (If [4], then [2].).
Not [6]. [SC2-3]
Therefore, If [4], then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
|
{0: 'Most primates occupy different habitats.', 1: 'Pandas live in bamboo forests in China.', 2: 'Publications discuss preservation.', 3: 'Most foxes emerge from dens.', 4: 'Most ferns arise from rhizomes.', 5: 'Placenta increta the villi are in the muscle wall.', 6: 'Art therapy is the creative use of art in a therapeutic setting.', 7: 'Pathogenic nematodes survive in cold climates.', 8: 'Parasites cause spot diseases.', 9: 'Walnut tends to be brighter than mahogany, and sweeter than maple.', 10: 'Colon cancer is one of the commonest cancers affecting both man and women.'}
| 6 |
5,480 |
['We know that at least one of two things is true: goodness comes from purity of the heart, or maras have (part) cell membranes.', 'The statement that states most rescue organizations are cash-poor and always have more animals than they can handle is right.', "Assuming the statement 'if study circles are small community groups who work on improving race relations, then wheels offer traction' can be considered false, we know that persecution is a political, social, material state.", "Given that the statement 'if study circles are small community groups who work on improving race relations, then wheels offer traction' can be considered false, it can be inferred that it is not true that persecution is a political, social, material state.", 'Provided that a vespid is a wasp, we know that if either goodness comes from purity of the heart or maras have (part) cell membranes, then either if hookworms have (part) plasma membranes, then plagiarism is theft or study circles are small community groups who work on improving race relations.', 'The claim that a vespid is a wasp holds true.', 'Either albumin is an excellent measure of protein status or bagpipes have an air chamber in the form of a bag.', "If albumin is an excellent measure of protein status, then if most rescue organizations are cash-poor and always have more animals than they can handle, then if if hookworms have (part) plasma membranes, then plagiarism is theft , then skin is our body's larget organ and entirely chlorine absorbent.", "Whenever it is true that bagpipes have an air chamber in the form of a bag, 'if most rescue organizations are cash-poor and always have more animals than they can handle, then if if hookworms have (part) plasma membranes, then plagiarism is theft , then skin is our body's larget organ and entirely chlorine absorbent' is true."]
|
We know that at least one of two things is true: goodness comes from purity of the heart, or maras have (part) cell membranes. The statement that states most rescue organizations are cash-poor and always have more animals than they can handle is right. Assuming the statement 'if study circles are small community groups who work on improving race relations, then wheels offer traction' can be considered false, we know that persecution is a political, social, material state. Given that the statement 'if study circles are small community groups who work on improving race relations, then wheels offer traction' can be considered false, it can be inferred that it is not true that persecution is a political, social, material state. Provided that a vespid is a wasp, we know that if either goodness comes from purity of the heart or maras have (part) cell membranes, then either if hookworms have (part) plasma membranes, then plagiarism is theft or study circles are small community groups who work on improving race relations. The claim that a vespid is a wasp holds true. Either albumin is an excellent measure of protein status or bagpipes have an air chamber in the form of a bag. If albumin is an excellent measure of protein status, then if most rescue organizations are cash-poor and always have more animals than they can handle, then if if hookworms have (part) plasma membranes, then plagiarism is theft , then skin is our body's larget organ and entirely chlorine absorbent. Whenever it is true that bagpipes have an air chamber in the form of a bag, 'if most rescue organizations are cash-poor and always have more animals than they can handle, then if if hookworms have (part) plasma membranes, then plagiarism is theft , then skin is our body's larget organ and entirely chlorine absorbent' is true.
|
We know that at least one of two things is true: skin is our body's larget organ and entirely chlorine absorbent, or wheels offer traction.
|
Either skin slides across the muscles and fat, and acts like our skin does or some wheels convert energy.
|
Uncertain
|
Constructive Dilemma:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then [0]. [SC2-1]
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (Either [7] or [8].), then (Either (If [2], then [3].) or [4].). [SC1-2]
Either [7] or [8].
Therefore, Either (If [2], then [3].) or [4]..
[SC1-2]
Modus Ponens:
If [11], then (If (Either [7] or [8].), then (Either (If [2], then [3].) or [4].).).
[11]
Therefore, If (Either [7] or [8].), then (Either (If [2], then [3].) or [4].)..
[SC2-1]
Modus Ponens:
If [5], then (If (If [2], then [3].), then [0].). [SC1-2]
[5]
Therefore, If (If [2], then [3].), then [0]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [5], then (If (If [2], then [3].), then [0].).).
If [10], then (If [5], then (If (If [2], then [3].), then [0].).).
Therefore, If [5], then (If (If [2], then [3].), then [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [6].
If (Not (If [4], then [1].).), then (Not [6].).
Therefore, If [4], then [1]..
|
{0: "Skin is our body's larget organ and entirely chlorine absorbent.", 1: 'Wheels offer traction.', 2: 'Hookworms have (part) plasma membranes.', 3: 'Plagiarism is theft .', 4: 'Study circles are small community groups who work on improving race relations.', 5: 'Most rescue organizations are cash-poor and always have more animals than they can handle.', 6: 'Persecution is a political, social, material state.', 7: 'Goodness comes from purity of the heart.', 8: 'Maras have (part) cell membranes.', 9: 'Albumin is an excellent measure of protein status.', 10: 'Bagpipes have an air chamber in the form of a bag.', 11: 'A vespid is a wasp.'}
| 6 |
5,498 |
['Assuming if most earthworms look like worms, then most trees produce products, we know that if the claim that ulnar loops are loops that open in the direction of the pinkie finger is false, then if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability.', 'If most earthworms look like worms, then energy is defined as the ability or capacity to perform work.', "Whenever it is true that energy is defined as the ability or capacity to perform work, 'most trees produce products' is true.", 'Should it be the case that if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability, it follows that all human beings are dependent upon language for communication.', "So long as all human beings are dependent upon language for communication, 'association football is the most popular sport in Norway in terms of active membership' is true.", 'Provided that either most seals have heads or lifeboats have (part) hulls, we know that if if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability, then it is a common misconception that association football is the most popular sport in Norway in terms of active membership.', 'We know that either most seals have heads or lifeboats have (part) hulls.']
|
Assuming if most earthworms look like worms, then most trees produce products, we know that if the claim that ulnar loops are loops that open in the direction of the pinkie finger is false, then if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability. If most earthworms look like worms, then energy is defined as the ability or capacity to perform work. Whenever it is true that energy is defined as the ability or capacity to perform work, 'most trees produce products' is true. Should it be the case that if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability, it follows that all human beings are dependent upon language for communication. So long as all human beings are dependent upon language for communication, 'association football is the most popular sport in Norway in terms of active membership' is true. Provided that either most seals have heads or lifeboats have (part) hulls, we know that if if most orangutans live in degrade habitats, then depression affects twice as many women as men because women have less a. emotional stability, then it is a common misconception that association football is the most popular sport in Norway in terms of active membership. We know that either most seals have heads or lifeboats have (part) hulls.
|
The claim that ulnar loops are loops that open in the direction of the pinkie finger holds true.
|
The claim that ulnar loops are loops that open in the direction of the pinkie finger holds true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [4], then [5].), then (If (Not [0].), then (If [1], then [2].).).
If [4], then [5]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Hypothetical Syllogism:
If [4], then [9].
If [9], then [5].
Therefore, If [4], then [5]..
[SC2-1]
Reductio Ad Absurdum:
If (If [1], then [2].), then [3]. [SC1-2]
If (If [1], then [2].), then (Not [3].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Hypothetical Syllogism:
If (If [1], then [2].), then [8].
If [8], then [3].
Therefore, If (If [1], then [2].), then [3]..
[SC2-2]
Modus Ponens:
If (Either [6] or [7].), then (If (If [1], then [2].), then (Not [3].).).
Either [6] or [7].
Therefore, If (If [1], then [2].), then (Not [3].)..
|
{0: 'Ulnar loops are loops that open in the direction of the pinkie finger.', 1: 'Most orangutans live in degrade habitats.', 2: 'Depression affects twice as many women as men because women have less a. emotional stability.', 3: 'Association football is the most popular sport in Norway in terms of active membership.', 4: 'Most earthworms look like worms.', 5: 'Most trees produce products.', 6: 'Most seals have heads.', 7: 'Lifeboats have (part) hulls.', 8: 'All human beings are dependent upon language for communication.', 9: 'Energy is defined as the ability or capacity to perform work.'}
| 6 |
5,968 |
["When the statement, if diabetic retinopathy is considered a form of vascular retinopathy, then the statement that 'atmospheres consist of layers' is incorrect, does not hold is true, it follows that physical experiences develop the child's body coordination, balance, agility, and spatial awareness.", 'Either an utensil is an implement or bells are located in churchs.', 'Provided that an utensil is an implement, we know that diabetic retinopathy is considered a form of vascular retinopathy.', "Whenever it is true that bells are located in churchs, 'diabetic retinopathy is considered a form of vascular retinopathy' is true.", "One may reasonably assume that if the claim that if the statement, if the statement, if diabetic retinopathy is considered a form of vascular retinopathy, then the statement that 'atmospheres consist of layers' is incorrect, does not hold, then it is a common misconception that physical experiences develop the child's body coordination, balance, agility, and spatial awareness, does not hold, then sloths move only when necessary and even then very slowly does not correspond with reality, then fires play an important role in many conifer forests.", "The statement 'fires play an important role in many conifer forests' can be considered false.", 'Either business travellers spend half of all their time in the air either reading for pleasure or sleeping or those that suggest sloths move only when necessary and even then very slowly are wrong.', "The statement that 'business travellers spend half of all their time in the air either reading for pleasure or sleeping' is incorrect."]
|
When the statement, if diabetic retinopathy is considered a form of vascular retinopathy, then the statement that 'atmospheres consist of layers' is incorrect, does not hold is true, it follows that physical experiences develop the child's body coordination, balance, agility, and spatial awareness. Either an utensil is an implement or bells are located in churchs. Provided that an utensil is an implement, we know that diabetic retinopathy is considered a form of vascular retinopathy. Whenever it is true that bells are located in churchs, 'diabetic retinopathy is considered a form of vascular retinopathy' is true. One may reasonably assume that if the claim that if the statement, if the statement, if diabetic retinopathy is considered a form of vascular retinopathy, then the statement that 'atmospheres consist of layers' is incorrect, does not hold, then it is a common misconception that physical experiences develop the child's body coordination, balance, agility, and spatial awareness, does not hold, then sloths move only when necessary and even then very slowly does not correspond with reality, then fires play an important role in many conifer forests. The statement 'fires play an important role in many conifer forests' can be considered false. Either business travellers spend half of all their time in the air either reading for pleasure or sleeping or those that suggest sloths move only when necessary and even then very slowly are wrong. The statement that 'business travellers spend half of all their time in the air either reading for pleasure or sleeping' is incorrect.
|
The statement that 'atmospheres consist of layers' is incorrect.
|
Many people rightly believe that atmospheres consist of layers.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [4].
If (Not (If [1], then (Not [0].).).), then (Not [4].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [1], then (Not [0].).).), then (Not [4].).).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [4].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then (Not [0].).).), then (Not [4].).).), then [5].).), then [7].
Not [7].
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then (Not [4].).).), then [5]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1].
If [3], then [1].
Therefore, [1].
|
{0: 'Atmospheres consist of layers.', 1: 'Diabetic retinopathy is considered a form of vascular retinopathy.', 2: 'An utensil is an implement.', 3: 'Bells are located in churchs.', 4: "Physical experiences develop the child's body coordination, balance, agility, and spatial awareness.", 5: 'Sloths move only when necessary and even then very slowly.', 6: 'Business travellers spend half of all their time in the air either reading for pleasure or sleeping.', 7: 'Fires play an important role in many conifer forests.'}
| 6 |
5,405 |
['When the claim that work is a vital part of human existence has no merit is true, it follows that thermoplastics are like wax.', 'some guanacos reach sexual maturity.', "The statement that 'most people just think of the tongue when they think about taste' is incorrect.", 'We know that either either ushers are people or viruses cause most colds, coughs and sore throats or plants are vigorous and rapid to increase.', 'Assuming either ushers are people or viruses cause most colds, coughs and sore throats, we know that either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false.', "The notion that 'many people experience some form of stress now and then' is untrue.", 'When it is not the case that either many people experience some form of stress now and then or if plants are vigorous and rapid to increase, then either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false is true, it follows that colloidal silver is an alternative medicine consisting of silver particles suspended in water.', "Provided that it is not the case that either many people experience some form of stress now and then or if plants are vigorous and rapid to increase, then either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false, we know that the statement 'colloidal silver is an alternative medicine consisting of silver particles suspended in water' can be considered false."]
|
When the claim that work is a vital part of human existence has no merit is true, it follows that thermoplastics are like wax. some guanacos reach sexual maturity. The statement that 'most people just think of the tongue when they think about taste' is incorrect. We know that either either ushers are people or viruses cause most colds, coughs and sore throats or plants are vigorous and rapid to increase. Assuming either ushers are people or viruses cause most colds, coughs and sore throats, we know that either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false. The notion that 'many people experience some form of stress now and then' is untrue. When it is not the case that either many people experience some form of stress now and then or if plants are vigorous and rapid to increase, then either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false is true, it follows that colloidal silver is an alternative medicine consisting of silver particles suspended in water. Provided that it is not the case that either many people experience some form of stress now and then or if plants are vigorous and rapid to increase, then either most people just think of the tongue when they think about taste or if some guanacos reach sexual maturity, then we know that the claim that thermoplastics are like wax is false, we know that the statement 'colloidal silver is an alternative medicine consisting of silver particles suspended in water' can be considered false.
|
The idea that work is a vital part of human existence is true.
|
The claim that work is a vital part of human existence does not correspond with reality.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [1].).). [SC1-3]
Not [3].
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (Either [3] or (If [2], then (Not [1].).).).
If [6], then (Either [3] or (If [2], then (Not [1].).).). [SC3-4]
Therefore, Either [3] or (If [2], then (Not [1].).)..
[SC3-4]
Disjunctive Syllogism:
Either [7] or (If [6], then (Either [3] or (If [2], then (Not [1].).).).). [SC1-5]
Not [7].
Therefore, If [6], then (Either [3] or (If [2], then (Not [1].).).)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (Either [7] or (If [6], then (Either [3] or (If [2], then (Not [1].).).).).).), then [8].
If (Not (Either [7] or (If [6], then (Either [3] or (If [2], then (Not [1].).).).).).), then (Not [8].).
Therefore, Either [7] or (If [6], then (Either [3] or (If [2], then (Not [1].).).).)..
|
{0: 'Work is a vital part of human existence.', 1: 'Thermoplastics are like wax.', 2: 'Some guanacos reach sexual maturity.', 3: 'Most people just think of the tongue when they think about taste.', 4: 'Ushers are people.', 5: 'Viruses cause most colds, coughs and sore throats.', 6: 'Plants are vigorous and rapid to increase.', 7: 'Many people experience some form of stress now and then.', 8: 'Colloidal silver is an alternative medicine consisting of silver particles suspended in water.'}
| 6 |
5,743 |
['One may reasonably assume that if today there are no visions because people think more about material than spiritual things , then tyrosine kinase is proteins.', 'Either one or both of these statements are true: makeup isa property, or immature leafhoppers are called nymphs and look like wingless adults.', 'One may reasonably assume that if makeup isa property, then antimatter inverts the brightness information of an image.', 'If the claim that if antimatter inverts the brightness information of an image, then tyrosine kinase is proteins does not correspond with reality, then if insects are capable of flies, then antlers typically emerge at one year of age .', "So long as the claim that if antimatter inverts the brightness information of an image, then tyrosine kinase is proteins does not correspond with reality, 'it is not true that if insects are capable of flies, then antlers typically emerge at one year of age ' is true.", "Whenever it is true that if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself, 'if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things ' is true.", 'Once we know it is not the case that either if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself or air absorbs oxygen, we also know that common mutations affect only individuals in the population.', "Whenever it is true that it is not the case that either if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself or air absorbs oxygen, 'the statement that states common mutations affect only individuals in the population is false' is true.", 'Once we know the claim that if air absorbs oxygen, then if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things is false, we also know that duchesses have (part) sections.', 'Given that the claim that if air absorbs oxygen, then if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things is false, it can be inferred that it is not true that duchesses have (part) sections.']
|
One may reasonably assume that if today there are no visions because people think more about material than spiritual things , then tyrosine kinase is proteins. Either one or both of these statements are true: makeup isa property, or immature leafhoppers are called nymphs and look like wingless adults. One may reasonably assume that if makeup isa property, then antimatter inverts the brightness information of an image. If the claim that if antimatter inverts the brightness information of an image, then tyrosine kinase is proteins does not correspond with reality, then if insects are capable of flies, then antlers typically emerge at one year of age . So long as the claim that if antimatter inverts the brightness information of an image, then tyrosine kinase is proteins does not correspond with reality, 'it is not true that if insects are capable of flies, then antlers typically emerge at one year of age ' is true. Whenever it is true that if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself, 'if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things ' is true. Once we know it is not the case that either if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself or air absorbs oxygen, we also know that common mutations affect only individuals in the population. Whenever it is true that it is not the case that either if organisms keep internal conditions stable by process called homeostasis, then more people die from the side effects of chemical treatments than from the actual disease itself or air absorbs oxygen, 'the statement that states common mutations affect only individuals in the population is false' is true. Once we know the claim that if air absorbs oxygen, then if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things is false, we also know that duchesses have (part) sections. Given that the claim that if air absorbs oxygen, then if immature leafhoppers are called nymphs and look like wingless adults, then today there are no visions because people think more about material than spiritual things is false, it can be inferred that it is not true that duchesses have (part) sections.
|
It is reasonable to believe that tyrosine kinase is proteins.
|
It is reasonable to believe that tyrosine kinase is proteins.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [5] or [6].
If [5], then [1].
If [6], then [2]. [SC3-2]
Therefore, Either [1] or [2]..
[SC3-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9]. [SC1-3]
If (If [7], then [8].), then (If [6], then [2].).
If [9], then (If [6], then [2].). [SC3-3]
Therefore, If [6], then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (If [7], then [8].) or [9].).), then [10].
If (Not (Either (If [7], then [8].) or [9].).), then (Not [10].).
Therefore, Either (If [7], then [8].) or [9]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [9], then (If [6], then [2].).).), then [11].
If (Not (If [9], then (If [6], then [2].).).), then (Not [11].).
Therefore, If [9], then (If [6], then [2].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then (If [3], then [4].).
If (Not (If [1], then [0].).), then (Not (If [3], then [4].).).
Therefore, If [1], then [0]..
|
{0: 'Tyrosine kinase is proteins.', 1: 'Antimatter inverts the brightness information of an image.', 2: 'Today there are no visions because people think more about material than spiritual things .', 3: 'Insects are capable of flies.', 4: 'Antlers typically emerge at one year of age .', 5: 'Makeup isa property.', 6: 'Immature leafhoppers are called nymphs and look like wingless adults.', 7: 'Organisms keep internal conditions stable by process called homeostasis.', 8: 'More people die from the side effects of chemical treatments than from the actual disease itself.', 9: 'Air absorbs oxygen.', 10: 'Common mutations affect only individuals in the population.', 11: 'Duchesses have (part) sections.'}
| 6 |
5,093 |
["Provided that censorship is what some people decide is good for others without their consent, we know that the notion that 'passage provides examples' is untrue.", 'One may reasonably assume that if the claim that if censorship is what some people decide is good for others without their consent, then passage provides examples has no merit, then hornbills are omnivorous birds.', 'Those that suggest pelicans are located at coasts are wrong.', 'At least one of two things is true: higher temperatures are necessary for hydrocarbon conversion, or most chloroplasts contain pigment chlorophyll.', 'We know that at least one of two things is true: if a diarthrosis is a joint, then metallic colors are difficult to match during re-painting, or either ventricular fibrillation is chaotic irregular electrical activity within the ventricles or strippers are compounds.', "So long as if a diarthrosis is a joint, then metallic colors are difficult to match during re-painting, 'if higher temperatures are necessary for hydrocarbon conversion, then if hornbills are omnivorous birds, then pelicans are located at coasts' is true.", 'Should it be the case that either ventricular fibrillation is chaotic irregular electrical activity within the ventricles or strippers are compounds, it follows that if higher temperatures are necessary for hydrocarbon conversion, then if hornbills are omnivorous birds, then pelicans are located at coasts.', 'If all children have feelings of anxiety at times, then if most chloroplasts contain pigment chlorophyll, then if hornbills are omnivorous birds, then pelicans are located at coasts.', 'Those that suggest all children have feelings of anxiety at times are right.']
|
Provided that censorship is what some people decide is good for others without their consent, we know that the notion that 'passage provides examples' is untrue. One may reasonably assume that if the claim that if censorship is what some people decide is good for others without their consent, then passage provides examples has no merit, then hornbills are omnivorous birds. Those that suggest pelicans are located at coasts are wrong. At least one of two things is true: higher temperatures are necessary for hydrocarbon conversion, or most chloroplasts contain pigment chlorophyll. We know that at least one of two things is true: if a diarthrosis is a joint, then metallic colors are difficult to match during re-painting, or either ventricular fibrillation is chaotic irregular electrical activity within the ventricles or strippers are compounds. So long as if a diarthrosis is a joint, then metallic colors are difficult to match during re-painting, 'if higher temperatures are necessary for hydrocarbon conversion, then if hornbills are omnivorous birds, then pelicans are located at coasts' is true. Should it be the case that either ventricular fibrillation is chaotic irregular electrical activity within the ventricles or strippers are compounds, it follows that if higher temperatures are necessary for hydrocarbon conversion, then if hornbills are omnivorous birds, then pelicans are located at coasts. If all children have feelings of anxiety at times, then if most chloroplasts contain pigment chlorophyll, then if hornbills are omnivorous birds, then pelicans are located at coasts. Those that suggest all children have feelings of anxiety at times are right.
|
The statement that states censorship is what some people decide is good for others without their consent is false.
|
The statement that states censorship is what some people decide is good for others without their consent is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If [2], then [3]. [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [3].). [SC2-4]
If [5], then (If [2], then [3].). [SC3-4]
Therefore, If [2], then [3]..
[SC2-4]
Disjunction Elimination:
Either (If [7], then [8].) or (Either [9] or [10].).
If (If [7], then [8].), then (If [4], then (If [2], then [3].).).
If (Either [9] or [10].), then (If [4], then (If [2], then [3].).).
Therefore, If [4], then (If [2], then [3].)..
[SC3-4]
Modus Ponens:
If [6], then (If [5], then (If [2], then [3].).).
[6]
Therefore, If [5], then (If [2], then [3].)..
|
{0: 'Censorship is what some people decide is good for others without their consent.', 1: 'Passage provides examples.', 2: 'Hornbills are omnivorous birds.', 3: 'Pelicans are located at coasts.', 4: 'Higher temperatures are necessary for hydrocarbon conversion.', 5: 'Most chloroplasts contain pigment chlorophyll.', 6: 'All children have feelings of anxiety at times.', 7: 'A diarthrosis is a joint.', 8: 'Metallic colors are difficult to match during re-painting.', 9: 'Ventricular fibrillation is chaotic irregular electrical activity within the ventricles.', 10: 'Strippers are compounds.'}
| 6 |
5,433 |
['Those that suggest bats also have a heart, brain, lungs and all the other organs that humans have are wrong.', "When the statement that 'either bats also have a heart, brain, lungs and all the other organs that humans have or protists make food through photosynthesis just like plants make food through photosynthesis' is incorrect is true, it follows that miners have (part) corpi.", 'Assuming miners have (part) corpi, we know that the claim that if chicks get high protein diets, then some chinchillas have infection does not correspond with reality.', 'If either economies based on consumption expand fast but also collapse fast or seafood includes shrimp, then if miners have (part) corpi, then if chicks get high protein diets, then some chinchillas have infection.', 'Either most amphibians possess skulls or ovarian cysts are fluid-filled sacs or pockets within or on the surface of an ovary.', 'When ovarian cysts are fluid-filled sacs or pockets within or on the surface of an ovary is true, it follows that seafood includes shrimp.', 'Assuming prostitution is legal in the Netherlands, we know that if most amphibians possess skulls, then economies based on consumption expand fast but also collapse fast.', 'The claim that prostitution is legal in the Netherlands is true.']
|
Those that suggest bats also have a heart, brain, lungs and all the other organs that humans have are wrong. When the statement that 'either bats also have a heart, brain, lungs and all the other organs that humans have or protists make food through photosynthesis just like plants make food through photosynthesis' is incorrect is true, it follows that miners have (part) corpi. Assuming miners have (part) corpi, we know that the claim that if chicks get high protein diets, then some chinchillas have infection does not correspond with reality. If either economies based on consumption expand fast but also collapse fast or seafood includes shrimp, then if miners have (part) corpi, then if chicks get high protein diets, then some chinchillas have infection. Either most amphibians possess skulls or ovarian cysts are fluid-filled sacs or pockets within or on the surface of an ovary. When ovarian cysts are fluid-filled sacs or pockets within or on the surface of an ovary is true, it follows that seafood includes shrimp. Assuming prostitution is legal in the Netherlands, we know that if most amphibians possess skulls, then economies based on consumption expand fast but also collapse fast. The claim that prostitution is legal in the Netherlands is true.
|
It is reasonable to believe that protists make food through photosynthesis just like plants make food through photosynthesis.
|
The claim that protists make food through photosynthesis just like plants make food through photosynthesis does not reflect reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (If [3], then [4].). [SC1-3]
If [2], then (Not (If [3], then [4].).).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If (Either [5] or [6].), then (If [2], then (If [3], then [4].).).
Either [5] or [6]. [SC2-4]
Therefore, If [2], then (If [3], then [4].)..
[SC2-4]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5]. [SC2-5]
If [8], then [6].
Therefore, Either [5] or [6]..
[SC2-5]
Modus Ponens:
If [9], then (If [7], then [5].).
[9]
Therefore, If [7], then [5]..
|
{0: 'Protists make food through photosynthesis just like plants make food through photosynthesis.', 1: 'Bats also have a heart, brain, lungs and all the other organs that humans have.', 2: 'Miners have (part) corpi.', 3: 'Chicks get high protein diets.', 4: 'Some chinchillas have infection.', 5: 'Economies based on consumption expand fast but also collapse fast.', 6: 'Seafood includes shrimp.', 7: 'Most amphibians possess skulls.', 8: 'Ovarian cysts are fluid-filled sacs or pockets within or on the surface of an ovary.', 9: 'Prostitution is legal in the Netherlands.'}
| 6 |
5,083 |
["Assuming the statement that 'if either parsley contains apiol and chlorophyll, which eliminate bad breath or flatworms consume plant materials, then balance diets contain nutrients' is incorrect, we know that intracellular magnesium predicts functional capacity in patients with coronary artery disease.", 'The statement, intracellular magnesium predicts functional capacity in patients with coronary artery disease, does not hold.', 'Should it be the case that it is not the case that if either parsley contains apiol and chlorophyll, which eliminate bad breath or flatworms consume plant materials, then the claim that balance diets contain nutrients does not correspond with reality, it follows that a saying is a speech.', "Whenever it is true that funerals happen and people come to put flowers on graves, 'the statement that 'a saying is a speech' is incorrect' is true.", "On the condition that cellulose is chemical compounds, it is definitely the case that the statement that 'a saying is a speech' is incorrect.", 'If it is not the case that either funerals happen and people come to put flowers on graves or cellulose is chemical compounds, then anchovies are also the staple food of the guano producing birds of the region.', 'Provided that anchovies are also the staple food of the guano producing birds of the region, we know that if crows are animals, then patients have livers.', 'When anchovies are also the staple food of the guano producing birds of the region is true, it follows that it is a common misconception that if crows are animals, then patients have livers.']
|
Assuming the statement that 'if either parsley contains apiol and chlorophyll, which eliminate bad breath or flatworms consume plant materials, then balance diets contain nutrients' is incorrect, we know that intracellular magnesium predicts functional capacity in patients with coronary artery disease. The statement, intracellular magnesium predicts functional capacity in patients with coronary artery disease, does not hold. Should it be the case that it is not the case that if either parsley contains apiol and chlorophyll, which eliminate bad breath or flatworms consume plant materials, then the claim that balance diets contain nutrients does not correspond with reality, it follows that a saying is a speech. Whenever it is true that funerals happen and people come to put flowers on graves, 'the statement that 'a saying is a speech' is incorrect' is true. On the condition that cellulose is chemical compounds, it is definitely the case that the statement that 'a saying is a speech' is incorrect. If it is not the case that either funerals happen and people come to put flowers on graves or cellulose is chemical compounds, then anchovies are also the staple food of the guano producing birds of the region. Provided that anchovies are also the staple food of the guano producing birds of the region, we know that if crows are animals, then patients have livers. When anchovies are also the staple food of the guano producing birds of the region is true, it follows that it is a common misconception that if crows are animals, then patients have livers.
|
It is not true that either parsley contains apiol and chlorophyll, which eliminate bad breath or flatworms consume plant materials.
|
Either one or both of these statements are true: parsley contains apiol and chlorophyll, which eliminate bad breath, or flatworms consume plant materials.
|
FALSE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Tonens:
If (Not (If (Either [0] or [1].), then [2].).), then [4].
Not [4].
Therefore, If (Either [0] or [1].), then [2]..
[SC2-1]
Modus Tonens:
If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [5] or [6].).), then [7].
Not [7]. [SC2-4]
Therefore, Either [5] or [6]..
[SC2-4]
Reductio Ad Absurdum:
If [7], then (If [8], then [9].).
If [7], then (Not (If [8], then [9].).).
Therefore, Not [7]..
|
{0: 'Parsley contains apiol and chlorophyll, which eliminate bad breath.', 1: 'Flatworms consume plant materials.', 2: 'Balance diets contain nutrients.', 3: 'A saying is a speech.', 4: 'Intracellular magnesium predicts functional capacity in patients with coronary artery disease.', 5: 'Funerals happen and people come to put flowers on graves.', 6: 'Cellulose is chemical compounds.', 7: 'Anchovies are also the staple food of the guano producing birds of the region.', 8: 'Crows are animals.', 9: 'Patients have livers.'}
| 6 |
5,843 |
['The claim that either some milk products contain proteins or grays breed and calve in the lagoons along the Pacific is false.', 'Given that it is a common misconception that if either female turtles share nest instinct or a peek is a look, then if lifestyle factors can increase the risk and incidence of heartburn, then either deductive arguments are deductive inferences or sexuality is just another part of what makes each person an individual, it can be inferred that piglets have (part) corpi.', "Whenever it is true that it is a common misconception that if either female turtles share nest instinct or a peek is a look, then if lifestyle factors can increase the risk and incidence of heartburn, then either deductive arguments are deductive inferences or sexuality is just another part of what makes each person an individual, 'some people mistakenly believe that piglets have (part) corpi' is true.", 'We know that at least one of two things is true: true tissues are collections of specialized cells isolated from other tissues by membranous layers, or jaguars are the third largest cat of the world, ranking behind the tiger and African lion.', 'On the condition that true tissues are collections of specialized cells isolated from other tissues by membranous layers, it is definitely the case that either female turtles share nest instinct or a peek is a look.', 'Should it be the case that jaguars are the third largest cat of the world, ranking behind the tiger and African lion, it follows that either female turtles share nest instinct or a peek is a look.', "So long as acute infections result from direct exposure with an infected animal, 'either either some milk products contain proteins or grays breed and calve in the lagoons along the Pacific or lifestyle factors can increase the risk and incidence of heartburn' is true.", 'The idea that acute infections result from direct exposure with an infected animal is true.']
|
The claim that either some milk products contain proteins or grays breed and calve in the lagoons along the Pacific is false. Given that it is a common misconception that if either female turtles share nest instinct or a peek is a look, then if lifestyle factors can increase the risk and incidence of heartburn, then either deductive arguments are deductive inferences or sexuality is just another part of what makes each person an individual, it can be inferred that piglets have (part) corpi. Whenever it is true that it is a common misconception that if either female turtles share nest instinct or a peek is a look, then if lifestyle factors can increase the risk and incidence of heartburn, then either deductive arguments are deductive inferences or sexuality is just another part of what makes each person an individual, 'some people mistakenly believe that piglets have (part) corpi' is true. We know that at least one of two things is true: true tissues are collections of specialized cells isolated from other tissues by membranous layers, or jaguars are the third largest cat of the world, ranking behind the tiger and African lion. On the condition that true tissues are collections of specialized cells isolated from other tissues by membranous layers, it is definitely the case that either female turtles share nest instinct or a peek is a look. Should it be the case that jaguars are the third largest cat of the world, ranking behind the tiger and African lion, it follows that either female turtles share nest instinct or a peek is a look. So long as acute infections result from direct exposure with an infected animal, 'either either some milk products contain proteins or grays breed and calve in the lagoons along the Pacific or lifestyle factors can increase the risk and incidence of heartburn' is true. The idea that acute infections result from direct exposure with an infected animal is true.
|
We know that at least one of two things is true: deductive arguments are deductive inferences, or sexuality is just another part of what makes each person an individual.
|
The claim that either deductive arguments are deductive inferences or sexuality is just another part of what makes each person an individual has no merit.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (Either [5] or [6].), then (If [2], then (Either [0] or [1].).). [SC1-2]
Either [5] or [6]. [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Either [5] or [6].), then (If [2], then (Either [0] or [1].).).).), then [7].
If (Not (If (Either [5] or [6].), then (If [2], then (Either [0] or [1].).).).), then (Not [7].).
Therefore, If (Either [5] or [6].), then (If [2], then (Either [0] or [1].).)..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either [5] or [6].).
If [10], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or [2]. [SC1-2]
Not (Either [3] or [4].).
Therefore, [2].
[SC1-2]
Modus Ponens:
If [8], then (Either (Either [3] or [4].) or [2].).
[8]
Therefore, Either (Either [3] or [4].) or [2]..
|
{0: 'Deductive arguments are deductive inferences.', 1: 'Sexuality is just another part of what makes each person an individual.', 2: 'Lifestyle factors can increase the risk and incidence of heartburn.', 3: 'Some milk products contain proteins.', 4: 'Grays breed and calve in the lagoons along the Pacific.', 5: 'Female turtles share nest instinct.', 6: 'A peek is a look.', 7: 'Piglets have (part) corpi.', 8: 'Acute infections result from direct exposure with an infected animal.', 9: 'True tissues are collections of specialized cells isolated from other tissues by membranous layers.', 10: 'Jaguars are the third largest cat of the world, ranking behind the tiger and African lion.'}
| 6 |
5,914 |
['Either ecological awareness is a vital aspect of spirituality or defendants are litigants.', "When the statement that states if defibrillators tend to synchronize the heart's electrical system, then the statement 'ecological awareness is a vital aspect of spirituality' can be considered false is false is true, it follows that salt concentration reaches levels.", 'The claim that salt concentration reaches levels does not correspond with reality.', "Should it be the case that physical hazards are also possible when swimming in polluted water, it follows that defibrillators tend to synchronize the heart's electrical system.", 'We know that at least one of two things is true: most antelopes have habitats, or physical hazards are also possible when swimming in polluted water.', 'It is a fact that either either evolution is the process by which inferior species are replaced by superior species or deer are very much like goats or some people mistakenly believe that most antelopes have habitats.', "The notion that 'either evolution is the process by which inferior species are replaced by superior species or deer are very much like goats' is untrue."]
|
Either ecological awareness is a vital aspect of spirituality or defendants are litigants. When the statement that states if defibrillators tend to synchronize the heart's electrical system, then the statement 'ecological awareness is a vital aspect of spirituality' can be considered false is false is true, it follows that salt concentration reaches levels. The claim that salt concentration reaches levels does not correspond with reality. Should it be the case that physical hazards are also possible when swimming in polluted water, it follows that defibrillators tend to synchronize the heart's electrical system. We know that at least one of two things is true: most antelopes have habitats, or physical hazards are also possible when swimming in polluted water. It is a fact that either either evolution is the process by which inferior species are replaced by superior species or deer are very much like goats or some people mistakenly believe that most antelopes have habitats. The notion that 'either evolution is the process by which inferior species are replaced by superior species or deer are very much like goats' is untrue.
|
It is the case that defendants are litigants.
|
It is the case that defendants are litigants.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [4].
Not [4].
Therefore, If [2], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [3], then [2].
[3] [SC2-3]
Therefore, [2].
[SC2-3]
Disjunctive Syllogism:
Either [5] or [3].
Not [5]. [SC2-4]
Therefore, [3].
[SC2-4]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not [5].).
Not (Either [6] or [7].).
Therefore, Not [5]..
|
{0: 'Defendants are litigants.', 1: 'Ecological awareness is a vital aspect of spirituality.', 2: "Defibrillators tend to synchronize the heart's electrical system.", 3: 'Physical hazards are also possible when swimming in polluted water.', 4: 'Salt concentration reaches levels.', 5: 'Most antelopes have habitats.', 6: 'Evolution is the process by which inferior species are replaced by superior species.', 7: 'Deer are very much like goats.'}
| 6 |
5,657 |
['Once we know the claim that leaders can also cause others to sin by action or inaction does not correspond with reality, we also know that darkrooms are obsolete because DI occurs in normal daylight.', 'Provided that some weasels have whiskers, we know that those that suggest darkrooms are obsolete because DI occurs in normal daylight are wrong.', 'When some places seem to have a knack for concentrating migrating birds in larger than normal numbers is true, it follows that if poverty is one of the most common reasons for family breakdown, then those that suggest darkrooms are obsolete because DI occurs in normal daylight are wrong.', 'It is the case that some places seem to have a knack for concentrating migrating birds in larger than normal numbers.', 'Once we know either rabbits raise babies or most cubes have edges, we also know that either either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources or either poverty is one of the most common reasons for family breakdown or some weasels have whiskers.', 'There is good reason to believe that either rabbits raise babies or most cubes have edges.', "It is rational to believe that either genealogists never prune their family trees because they're always looking for new branches or giant pandas prefer a diet of various bamboo species.", "Provided that genealogists never prune their family trees because they're always looking for new branches, we know that the claim that either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources is false.", "Whenever it is true that giant pandas prefer a diet of various bamboo species, 'the claim that either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources is false' is true."]
|
Once we know the claim that leaders can also cause others to sin by action or inaction does not correspond with reality, we also know that darkrooms are obsolete because DI occurs in normal daylight. Provided that some weasels have whiskers, we know that those that suggest darkrooms are obsolete because DI occurs in normal daylight are wrong. When some places seem to have a knack for concentrating migrating birds in larger than normal numbers is true, it follows that if poverty is one of the most common reasons for family breakdown, then those that suggest darkrooms are obsolete because DI occurs in normal daylight are wrong. It is the case that some places seem to have a knack for concentrating migrating birds in larger than normal numbers. Once we know either rabbits raise babies or most cubes have edges, we also know that either either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources or either poverty is one of the most common reasons for family breakdown or some weasels have whiskers. There is good reason to believe that either rabbits raise babies or most cubes have edges. It is rational to believe that either genealogists never prune their family trees because they're always looking for new branches or giant pandas prefer a diet of various bamboo species. Provided that genealogists never prune their family trees because they're always looking for new branches, we know that the claim that either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources is false. Whenever it is true that giant pandas prefer a diet of various bamboo species, 'the claim that either atherosclerosis is a thickening or hardening of the arteries or today there is a growing concern for the sustainability of all forest resources is false' is true.
|
It is a simple truth that leaders can also cause others to sin by action or inaction.
|
It is a simple truth that leaders can also cause others to sin by action or inaction.
|
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].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Either [2] or [3].). [SC1-3]
Not (Either [5] or [6].). [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Ponens:
If (Either [9] or [10].), then (Either (Either [5] or [6].) or (Either [2] or [3].).).
Either [9] or [10].
Therefore, Either (Either [5] or [6].) or (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not (Either [5] or [6].).).
If [8], then (Not (Either [5] or [6].).).
Therefore, Not (Either [5] or [6].)..
[SC2-2]
Modus Ponens:
If [4], then (If [2], then (Not [1].).).
[4]
Therefore, If [2], then (Not [1].)..
|
{0: 'Leaders can also cause others to sin by action or inaction.', 1: 'Darkrooms are obsolete because DI occurs in normal daylight.', 2: 'Poverty is one of the most common reasons for family breakdown.', 3: 'Some weasels have whiskers.', 4: 'Some places seem to have a knack for concentrating migrating birds in larger than normal numbers.', 5: 'Atherosclerosis is a thickening or hardening of the arteries.', 6: 'Today there is a growing concern for the sustainability of all forest resources.', 7: "Genealogists never prune their family trees because they're always looking for new branches.", 8: 'Giant pandas prefer a diet of various bamboo species.', 9: 'Rabbits raise babies.', 10: 'Most cubes have edges.'}
| 6 |
5,414 |
["So long as some people mistakenly believe that if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then air carries vapour, 'statistical analysis can give insight into real things' is true.", "Provided that those that suggest if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then the statement that 'air carries vapour' is incorrect are wrong, we know that all tigers also display great motherly devotion with their offspring.", "One may reasonably assume that if those that suggest if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then the statement that 'air carries vapour' is incorrect are wrong, then the notion that 'all tigers also display great motherly devotion with their offspring' is untrue.", 'Assuming some people mistakenly believe that if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then air carries vapour, we know that mammals maintain constant temperature.', 'Assuming it is a common misconception that if mammals maintain constant temperature, then those that suggest statistical analysis can give insight into real things are wrong, we know that possessions perennially play an important role in establishing and maintaining social relationships.', 'Once we know possessions perennially play an important role in establishing and maintaining social relationships, we also know that if butterflies has-part wings, then many people think the tonsils and the foreskin are responsible for causing infections.', 'It is a common misconception that if butterflies has-part wings, then many people think the tonsils and the foreskin are responsible for causing infections.']
|
So long as some people mistakenly believe that if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then air carries vapour, 'statistical analysis can give insight into real things' is true. Provided that those that suggest if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then the statement that 'air carries vapour' is incorrect are wrong, we know that all tigers also display great motherly devotion with their offspring. One may reasonably assume that if those that suggest if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then the statement that 'air carries vapour' is incorrect are wrong, then the notion that 'all tigers also display great motherly devotion with their offspring' is untrue. Assuming some people mistakenly believe that if the claim that beavers are relatively short and squat, with are large rump does not reflect reality, then air carries vapour, we know that mammals maintain constant temperature. Assuming it is a common misconception that if mammals maintain constant temperature, then those that suggest statistical analysis can give insight into real things are wrong, we know that possessions perennially play an important role in establishing and maintaining social relationships. Once we know possessions perennially play an important role in establishing and maintaining social relationships, we also know that if butterflies has-part wings, then many people think the tonsils and the foreskin are responsible for causing infections. It is a common misconception that if butterflies has-part wings, then many people think the tonsils and the foreskin are responsible for causing infections.
|
It is fair to say that beavers are relatively short and squat, with are large rump.
|
It is fair to say that beavers are relatively short and squat, with are large rump.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [3].
If (Not (If (Not [0].), then [1].).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [4].
If [4], then (Not [3].). [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [3].)..
[SC2-3]
Modus Tonens:
If (Not (If [4], then (Not [3].).).), then [5].
Not [5]. [SC2-4]
Therefore, If [4], then (Not [3].)..
[SC2-4]
Modus Tonens:
If [5], then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, Not [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2].
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Beavers are relatively short and squat, with are large rump.', 1: 'Air carries vapour.', 2: 'All tigers also display great motherly devotion with their offspring.', 3: 'Statistical analysis can give insight into real things.', 4: 'Mammals maintain constant temperature.', 5: 'Possessions perennially play an important role in establishing and maintaining social relationships.', 6: 'Butterflies has-part wings.', 7: 'Many people think the tonsils and the foreskin are responsible for causing infections.'}
| 6 |
5,662 |
['Once we know the claim that shops are located in high schools does not reflect reality, we also know that owls have extraordinary sight and hearing capability.', 'We know that either if snapdragons have (part) flowers, then opossums have soft, delicate hands with nails that are easily ripped out or bloody urine points to an inflammatory condition of that organ.', 'If if snapdragons have (part) flowers, then opossums have soft, delicate hands with nails that are easily ripped out, then either sheep is used for shearing or most priests have parents.', 'One may reasonably assume that if bloody urine points to an inflammatory condition of that organ, then either sheep is used for shearing or most priests have parents.', 'Assuming some major sources contribute to sodium intake, we know that if sheep is used for shearing, then if the claim that shops are located in high schools does not reflect reality, then the claim that owls have extraordinary sight and hearing capability has no merit.', 'The idea that some major sources contribute to sodium intake is true.', 'Provided that the statement, if most priests have parents, then if the claim that shops are located in high schools does not reflect reality, then the claim that owls have extraordinary sight and hearing capability has no merit, does not hold, we know that pulp is ore.', 'Provided that pulp is ore, we know that if organizational culture is what binds individuals together into highly effective teams, then larger particles have so much mass that no Brownian motion is observed.', "The statement that 'if organizational culture is what binds individuals together into highly effective teams, then larger particles have so much mass that no Brownian motion is observed' is incorrect."]
|
Once we know the claim that shops are located in high schools does not reflect reality, we also know that owls have extraordinary sight and hearing capability. We know that either if snapdragons have (part) flowers, then opossums have soft, delicate hands with nails that are easily ripped out or bloody urine points to an inflammatory condition of that organ. If if snapdragons have (part) flowers, then opossums have soft, delicate hands with nails that are easily ripped out, then either sheep is used for shearing or most priests have parents. One may reasonably assume that if bloody urine points to an inflammatory condition of that organ, then either sheep is used for shearing or most priests have parents. Assuming some major sources contribute to sodium intake, we know that if sheep is used for shearing, then if the claim that shops are located in high schools does not reflect reality, then the claim that owls have extraordinary sight and hearing capability has no merit. The idea that some major sources contribute to sodium intake is true. Provided that the statement, if most priests have parents, then if the claim that shops are located in high schools does not reflect reality, then the claim that owls have extraordinary sight and hearing capability has no merit, does not hold, we know that pulp is ore. Provided that pulp is ore, we know that if organizational culture is what binds individuals together into highly effective teams, then larger particles have so much mass that no Brownian motion is observed. The statement that 'if organizational culture is what binds individuals together into highly effective teams, then larger particles have so much mass that no Brownian motion is observed' is incorrect.
|
Many people rightly believe that shops are located in high schools.
|
Many people rightly believe that shops are located in high schools.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (Either [2] or [3].).
If [8], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (If (Not [0].), then (Not [1].).).).
[5]
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [4].
Not [4]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
[SC2-3]
Modus Tonens:
If [4], then (If [9], then [10].).
Not (If [9], then [10].).
Therefore, Not [4]..
|
{0: 'Shops are located in high schools.', 1: 'Owls have extraordinary sight and hearing capability.', 2: 'Sheep is used for shearing.', 3: 'Most priests have parents.', 4: 'Pulp is ore.', 5: 'Some major sources contribute to sodium intake.', 6: 'Snapdragons have (part) flowers.', 7: 'Opossums have soft, delicate hands with nails that are easily ripped out.', 8: 'Bloody urine points to an inflammatory condition of that organ.', 9: 'Organizational culture is what binds individuals together into highly effective teams.', 10: 'Larger particles have so much mass that no Brownian motion is observed.'}
| 6 |
5,978 |
['Either one or both of these statements are true: either many parent shelter their children from the effects of their sowing or bread is bread, crumbs are also bread, or human beings can alter their lives by altering their attitudes of mind.', 'Once we know either many parent shelter their children from the effects of their sowing or bread is bread, crumbs are also bread, we also know that primitive species offer a glimpse into the roots of many other species and evolution itself.', "Provided that gold abounds within the mountain's reach, as the sun filters through leaves to shine and glitter, we know that the claim that frogs have a body plan that is more specialized than the salamander body plan for movement on land does not reflect reality.", "It is a simple truth that gold abounds within the mountain's reach, as the sun filters through leaves to shine and glitter.", 'When osteopaths are primary contact practitioners who work in accordance with osteopathic principles is true, it follows that if frustration isa desire, then either frogs have a body plan that is more specialized than the salamander body plan for movement on land or if human beings can alter their lives by altering their attitudes of mind, then primitive species offer a glimpse into the roots of many other species and evolution itself.', 'Those that suggest osteopaths are primary contact practitioners who work in accordance with osteopathic principles are right.', 'If either paintballs are sports or crime is committed at the international level, then frustration isa desire.', 'It is rational to believe that either paintballs are sports or crime is committed at the international level.']
|
Either one or both of these statements are true: either many parent shelter their children from the effects of their sowing or bread is bread, crumbs are also bread, or human beings can alter their lives by altering their attitudes of mind. Once we know either many parent shelter their children from the effects of their sowing or bread is bread, crumbs are also bread, we also know that primitive species offer a glimpse into the roots of many other species and evolution itself. Provided that gold abounds within the mountain's reach, as the sun filters through leaves to shine and glitter, we know that the claim that frogs have a body plan that is more specialized than the salamander body plan for movement on land does not reflect reality. It is a simple truth that gold abounds within the mountain's reach, as the sun filters through leaves to shine and glitter. When osteopaths are primary contact practitioners who work in accordance with osteopathic principles is true, it follows that if frustration isa desire, then either frogs have a body plan that is more specialized than the salamander body plan for movement on land or if human beings can alter their lives by altering their attitudes of mind, then primitive species offer a glimpse into the roots of many other species and evolution itself. Those that suggest osteopaths are primary contact practitioners who work in accordance with osteopathic principles are right. If either paintballs are sports or crime is committed at the international level, then frustration isa desire. It is rational to believe that either paintballs are sports or crime is committed at the international level.
|
primitive species offer a glimpse into the roots of many other species and evolution itself.
|
Life is sometimes metastable, or at some steady state.
|
Uncertain
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3].
If (Either [1] or [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].). [SC1-2]
Not [4]. [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Modus Ponens:
If [5], then (Either [4] or (If [3], then [0].).). [SC1-3]
[5] [SC2-3]
Therefore, Either [4] or (If [3], then [0].)..
[SC1-3]
Modus Ponens:
If [9], then (If [5], then (Either [4] or (If [3], then [0].).).).
[9]
Therefore, If [5], then (Either [4] or (If [3], then [0].).)..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then [5].
Either [7] or [8].
Therefore, [5].
[SC2-2]
Modus Ponens:
If [6], then (Not [4].).
[6]
Therefore, Not [4]..
|
{0: 'Primitive species offer a glimpse into the roots of many other species and evolution itself.', 1: 'Many parent shelter their children from the effects of their sowing.', 2: 'Bread is bread, crumbs are also bread.', 3: 'Human beings can alter their lives by altering their attitudes of mind.', 4: 'Frogs have a body plan that is more specialized than the salamander body plan for movement on land.', 5: 'Frustration isa desire.', 6: "Gold abounds within the mountain's reach, as the sun filters through leaves to shine and glitter.", 7: 'Paintballs are sports.', 8: 'Crime is committed at the international level.', 9: 'Osteopaths are primary contact practitioners who work in accordance with osteopathic principles.'}
| 6 |
5,771 |
["So long as left fields are positions, 'rivers transport water from wherever it is to the ocean' is true.", "The statement 'ant colonies are composed of queens, males, a I. workers' can be considered false.", "If insects are bats' main food, then if we know that the claim that either ant colonies are composed of queens, males, a I. workers or left fields are positions is false, then either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures.", "Whenever it is true that weight is proportionate to body volume, measured in three dimensions, 'if we know that the claim that either ant colonies are composed of queens, males, a I. workers or left fields are positions is false, then either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures' is true.", 'There is good reason to believe that either some wrens have broad white stripes or it is not true that either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures.', 'It is not the case that some wrens have broad white stripes.', 'It is a fact that either if some enzymes depend on it, then impact printers use a mechanical hammering device to produce each character or agglomeration means some of the silver atoms are starting to share electron rings.', "Assuming if some enzymes depend on it, then impact printers use a mechanical hammering device to produce each character, we know that either insects are bats' main food or weight is proportionate to body volume, measured in three dimensions.", "One may reasonably assume that if agglomeration means some of the silver atoms are starting to share electron rings, then either insects are bats' main food or weight is proportionate to body volume, measured in three dimensions."]
|
So long as left fields are positions, 'rivers transport water from wherever it is to the ocean' is true. The statement 'ant colonies are composed of queens, males, a I. workers' can be considered false. If insects are bats' main food, then if we know that the claim that either ant colonies are composed of queens, males, a I. workers or left fields are positions is false, then either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures. Whenever it is true that weight is proportionate to body volume, measured in three dimensions, 'if we know that the claim that either ant colonies are composed of queens, males, a I. workers or left fields are positions is false, then either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures' is true. There is good reason to believe that either some wrens have broad white stripes or it is not true that either smoking also boosts the risk of stroke or titanium is a preferred material in fishing lures. It is not the case that some wrens have broad white stripes. It is a fact that either if some enzymes depend on it, then impact printers use a mechanical hammering device to produce each character or agglomeration means some of the silver atoms are starting to share electron rings. Assuming if some enzymes depend on it, then impact printers use a mechanical hammering device to produce each character, we know that either insects are bats' main food or weight is proportionate to body volume, measured in three dimensions. One may reasonably assume that if agglomeration means some of the silver atoms are starting to share electron rings, then either insects are bats' main food or weight is proportionate to body volume, measured in three dimensions.
|
It is reasonable to believe that rivers transport water from wherever it is to the ocean.
|
The statement 'rivers transport water from wherever it is to the ocean' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [1].).), then (Either [3] or [4].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, Either [2] or [1]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (If (Not (Either [2] or [1].).), then (Either [3] or [4].).).
If [6], then (If (Not (Either [2] or [1].).), then (Either [3] or [4].).).
Therefore, If (Not (Either [2] or [1].).), then (Either [3] or [4].)..
[SC1-4]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (Either [5] or [6].).
If [10], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not (Either [3] or [4].).).
Not [7].
Therefore, Not (Either [3] or [4].)..
|
{0: 'Rivers transport water from wherever it is to the ocean.', 1: 'Left fields are positions.', 2: 'Ant colonies are composed of queens, males, a I. workers.', 3: 'Smoking also boosts the risk of stroke.', 4: 'Titanium is a preferred material in fishing lures.', 5: "Insects are bats' main food.", 6: 'Weight is proportionate to body volume, measured in three dimensions.', 7: 'Some wrens have broad white stripes.', 8: 'Some enzymes depend on it.', 9: 'Impact printers use a mechanical hammering device to produce each character.', 10: 'Agglomeration means some of the silver atoms are starting to share electron rings.'}
| 6 |
5,728 |
['It is reasonable to believe that anger is a natural emotion felt by everyone from time to time.', 'Should it be the case that those that suggest if anger is a natural emotion felt by everyone from time to time, then wood county is one of the largest, wealthiest and most populous counties in Ohio are wrong, it follows that husbands want comfort.', 'When husbands want comfort is true, it follows that public archaeology is the interface between archaeologists and the lay public.', 'When those that suggest if anger is a natural emotion felt by everyone from time to time, then wood county is one of the largest, wealthiest and most populous counties in Ohio are wrong is true, it follows that strawberries are a good source of potassium too.', 'Either some animals rest on backs or if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds.', 'When some animals rest on backs is true, it follows that if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong.', 'Once we know those that suggest if if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds, then if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong are wrong, we also know that some dietary fiber helps food.', 'One may reasonably assume that if those that suggest if if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds, then if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong are wrong, then the claim that some dietary fiber helps food does not reflect reality.']
|
It is reasonable to believe that anger is a natural emotion felt by everyone from time to time. Should it be the case that those that suggest if anger is a natural emotion felt by everyone from time to time, then wood county is one of the largest, wealthiest and most populous counties in Ohio are wrong, it follows that husbands want comfort. When husbands want comfort is true, it follows that public archaeology is the interface between archaeologists and the lay public. When those that suggest if anger is a natural emotion felt by everyone from time to time, then wood county is one of the largest, wealthiest and most populous counties in Ohio are wrong is true, it follows that strawberries are a good source of potassium too. Either some animals rest on backs or if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds. When some animals rest on backs is true, it follows that if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong. Once we know those that suggest if if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds, then if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong are wrong, we also know that some dietary fiber helps food. One may reasonably assume that if those that suggest if if cordgrasses provide storm surge protection, then faeries love music and to dance to hypnotic and beautiful sounds, then if strawberries are a good source of potassium too, then those that suggest public archaeology is the interface between archaeologists and the lay public are wrong are wrong, then the claim that some dietary fiber helps food does not reflect reality.
|
Those that suggest wood county is one of the largest, wealthiest and most populous counties in Ohio are right.
|
Those that suggest wood county is one of the largest, wealthiest and most populous counties in Ohio are right.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [3].
If [3], then [2].
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [4].
If [4], then (Not [2].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [4], then (Not [2].).).
If (If [6], then [7].), then (If [4], then (Not [2].).). [SC3-4]
Therefore, If [4], then (Not [2].)..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If (If [6], then [7].), then (If [4], then (Not [2].).).).), then [8].
If (Not (If (If [6], then [7].), then (If [4], then (Not [2].).).).), then (Not [8].).
Therefore, If (If [6], then [7].), then (If [4], then (Not [2].).)..
|
{0: 'Wood county is one of the largest, wealthiest and most populous counties in Ohio.', 1: 'Anger is a natural emotion felt by everyone from time to time.', 2: 'Public archaeology is the interface between archaeologists and the lay public.', 3: 'Husbands want comfort.', 4: 'Strawberries are a good source of potassium too.', 5: 'Some animals rest on backs.', 6: 'Cordgrasses provide storm surge protection.', 7: 'Faeries love music and to dance to hypnotic and beautiful sounds.', 8: 'Some dietary fiber helps food.'}
| 6 |
5,911 |
['There is good reason to believe that either vestries are rooms or either writing is an art form or brown house moths have complete metamorphosis.', 'One may reasonably assume that if vestries are rooms, then skiing fall.', 'One may reasonably assume that if either writing is an art form or brown house moths have complete metamorphosis, then infant attachment is found to some degree in all mammals and is greatly expanded in humans.', 'We know that at least one of two things is true: most flamingos have black feathers, or public drunkenness is frowned upon in some countries - and a jailable offence in others.', 'Should it be the case that public drunkenness is frowned upon in some countries - and a jailable offence in others, it follows that if skiing fall, then some squirrels inhabit states.', "Whenever it is true that some squirrels inhabit states, 'hard outer shells serve vital protective functions' is true.", "Whenever it is true that some squirrels inhabit states, 'it is not the case that hard outer shells serve vital protective functions' is true.", 'When the claim that if most flamingos have black feathers, then if skiing fall, then some squirrels inhabit states does not correspond with reality is true, it follows that some anticonvulsant medications have the potential to decrease the white blood cell count.', 'When the claim that if most flamingos have black feathers, then if skiing fall, then some squirrels inhabit states does not correspond with reality is true, it follows that those that suggest some anticonvulsant medications have the potential to decrease the white blood cell count are wrong.']
|
There is good reason to believe that either vestries are rooms or either writing is an art form or brown house moths have complete metamorphosis. One may reasonably assume that if vestries are rooms, then skiing fall. One may reasonably assume that if either writing is an art form or brown house moths have complete metamorphosis, then infant attachment is found to some degree in all mammals and is greatly expanded in humans. We know that at least one of two things is true: most flamingos have black feathers, or public drunkenness is frowned upon in some countries - and a jailable offence in others. Should it be the case that public drunkenness is frowned upon in some countries - and a jailable offence in others, it follows that if skiing fall, then some squirrels inhabit states. Whenever it is true that some squirrels inhabit states, 'hard outer shells serve vital protective functions' is true. Whenever it is true that some squirrels inhabit states, 'it is not the case that hard outer shells serve vital protective functions' is true. When the claim that if most flamingos have black feathers, then if skiing fall, then some squirrels inhabit states does not correspond with reality is true, it follows that some anticonvulsant medications have the potential to decrease the white blood cell count. When the claim that if most flamingos have black feathers, then if skiing fall, then some squirrels inhabit states does not correspond with reality is true, it follows that those that suggest some anticonvulsant medications have the potential to decrease the white blood cell count are wrong.
|
We can assume that infant attachment is found to some degree in all mammals and is greatly expanded in humans.
|
The statement 'infant attachment is found to some degree in all mammals and is greatly expanded in humans' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or (Either [3] or [4].).
If [2], then [1].
If (Either [3] or [4].), then [0].
Therefore, Either [1] or [0]..
[SC2-1]
Modus Tonens:
If [1], then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [1], then [5].). [SC2-3]
If [7], then (If [1], then [5].).
Therefore, If [1], then [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If [1], then [5].).).), then [9].
If (Not (If [6], then (If [1], then [5].).).), then (Not [9].).
Therefore, If [6], then (If [1], then [5].)..
[SC2-2]
Reductio Ad Absurdum:
If [5], then [8].
If [5], then (Not [8].).
Therefore, Not [5]..
|
{0: 'Infant attachment is found to some degree in all mammals and is greatly expanded in humans.', 1: 'Skiing fall.', 2: 'Vestries are rooms.', 3: 'Writing is an art form.', 4: 'Brown house moths have complete metamorphosis.', 5: 'Some squirrels inhabit states.', 6: 'Most flamingos have black feathers.', 7: 'Public drunkenness is frowned upon in some countries - and a jailable offence in others.', 8: 'Hard outer shells serve vital protective functions.', 9: 'Some anticonvulsant medications have the potential to decrease the white blood cell count.'}
| 6 |
5,807 |
['Given that unity also contributes to the strengthening of indigenous peoples, it can be inferred that papaya plants may have male flowers.', 'unity also contributes to the strengthening of indigenous peoples.', 'Either some diamonds conduct heat or if selenium deficiency alters the lipoxygenase pathway and mitogenic response in bovine lymphocytes, then potassium is the seventh most abundant element in the crust of the earth.', 'One may reasonably assume that if some diamonds conduct heat, then if the claim that if papaya plants may have male flowers, then women suffer greatly because much of the care of children and the sick fall on their shoulders does not reflect reality, then if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams.', 'Once we know if selenium deficiency alters the lipoxygenase pathway and mitogenic response in bovine lymphocytes, then potassium is the seventh most abundant element in the crust of the earth, we also know that if the claim that if papaya plants may have male flowers, then women suffer greatly because much of the care of children and the sick fall on their shoulders does not reflect reality, then if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams.', 'Provided that temperament is adjustment, we know that the claim that if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams is false.', 'Assuming those that suggest temperament is adjustment are wrong, we know that vertebrates are multicellular organisms.', 'Assuming those that suggest temperament is adjustment are wrong, we know that we know that the claim that vertebrates are multicellular organisms is false.']
|
Given that unity also contributes to the strengthening of indigenous peoples, it can be inferred that papaya plants may have male flowers. unity also contributes to the strengthening of indigenous peoples. Either some diamonds conduct heat or if selenium deficiency alters the lipoxygenase pathway and mitogenic response in bovine lymphocytes, then potassium is the seventh most abundant element in the crust of the earth. One may reasonably assume that if some diamonds conduct heat, then if the claim that if papaya plants may have male flowers, then women suffer greatly because much of the care of children and the sick fall on their shoulders does not reflect reality, then if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams. Once we know if selenium deficiency alters the lipoxygenase pathway and mitogenic response in bovine lymphocytes, then potassium is the seventh most abundant element in the crust of the earth, we also know that if the claim that if papaya plants may have male flowers, then women suffer greatly because much of the care of children and the sick fall on their shoulders does not reflect reality, then if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams. Provided that temperament is adjustment, we know that the claim that if tolerance is the code word of their faith, then heat recovery is used in the ventilation air streams is false. Assuming those that suggest temperament is adjustment are wrong, we know that vertebrates are multicellular organisms. Assuming those that suggest temperament is adjustment are wrong, we know that we know that the claim that vertebrates are multicellular organisms is false.
|
It is fair to say that women suffer greatly because much of the care of children and the sick fall on their shoulders.
|
Women improve confidence.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If [1], then [0].).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If (Not (If [1], then [0].).), then (If [3], then [4].).).
If (If [7], then [8].), then (If (Not (If [1], then [0].).), then (If [3], then [4].).).
Therefore, If (Not (If [1], then [0].).), then (If [3], then [4].)..
[SC2-2]
Modus Ponens:
If [5], then (Not (If [3], then [4].).).
[5] [SC2-3]
Therefore, Not (If [3], then [4].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not [5].), then [9].
If (Not [5].), then (Not [9].).
Therefore, [5].
[SC2-1]
Modus Ponens:
If [2], then [1].
[2]
Therefore, [1].
|
{0: 'Women suffer greatly because much of the care of children and the sick fall on their shoulders.', 1: 'Papaya plants may have male flowers.', 2: 'Unity also contributes to the strengthening of indigenous peoples.', 3: 'Tolerance is the code word of their faith.', 4: 'Heat recovery is used in the ventilation air streams.', 5: 'Temperament is adjustment.', 6: 'Some diamonds conduct heat.', 7: 'Selenium deficiency alters the lipoxygenase pathway and mitogenic response in bovine lymphocytes.', 8: 'Potassium is the seventh most abundant element in the crust of the earth.', 9: 'Vertebrates are multicellular organisms.'}
| 6 |
5,322 |
["So long as most red light comes from atmospheres, 'if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then the notion that 'natural faith involves trust' is untrue' is true.", 'Once we know the statement that states if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then natural faith involves trust is false, we also know that demoiselles have (part) heads.', 'Given that demoiselles have (part) heads, it can be inferred that many people use drugs and alcohol as an attempt to self-medicate.', 'Should it be the case that we know that the claim that if the statement that states if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then natural faith involves trust is false, then the claim that many people use drugs and alcohol as an attempt to self-medicate does not correspond with reality is false, it follows that email filterings are filterings.', 'The claim that email filterings are filterings is false.', 'We know that at least one of two things is true: onions grown from sets, transplants and seeds are susceptible to attack by the onion maggot, or some ornithischian dinosaurs have special features.', 'Should it be the case that onions grown from sets, transplants and seeds are susceptible to attack by the onion maggot, it follows that most red light comes from atmospheres.', 'On the condition that some ornithischian dinosaurs have special features, it is definitely the case that most red light comes from atmospheres.']
|
So long as most red light comes from atmospheres, 'if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then the notion that 'natural faith involves trust' is untrue' is true. Once we know the statement that states if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then natural faith involves trust is false, we also know that demoiselles have (part) heads. Given that demoiselles have (part) heads, it can be inferred that many people use drugs and alcohol as an attempt to self-medicate. Should it be the case that we know that the claim that if the statement that states if the statement that states more estrogen means a thicker lining, which causes heavier bleeding is false, then natural faith involves trust is false, then the claim that many people use drugs and alcohol as an attempt to self-medicate does not correspond with reality is false, it follows that email filterings are filterings. The claim that email filterings are filterings is false. We know that at least one of two things is true: onions grown from sets, transplants and seeds are susceptible to attack by the onion maggot, or some ornithischian dinosaurs have special features. Should it be the case that onions grown from sets, transplants and seeds are susceptible to attack by the onion maggot, it follows that most red light comes from atmospheres. On the condition that some ornithischian dinosaurs have special features, it is definitely the case that most red light comes from atmospheres.
|
The idea that more estrogen means a thicker lining, which causes heavier bleeding is true.
|
The claim that more estrogen means a thicker lining, which causes heavier bleeding is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [7].
If [7], then [2].
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then (Not [2].).).), then [6].
Not [6].
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).).
[3] [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then [3].
If [5], then [3].
Therefore, [3].
|
{0: 'More estrogen means a thicker lining, which causes heavier bleeding.', 1: 'Natural faith involves trust.', 2: 'Many people use drugs and alcohol as an attempt to self-medicate.', 3: 'Most red light comes from atmospheres.', 4: 'Onions grown from sets, transplants and seeds are susceptible to attack by the onion maggot.', 5: 'Some ornithischian dinosaurs have special features.', 6: 'Email filterings are filterings.', 7: 'Demoiselles have (part) heads.'}
| 6 |
5,556 |
["Whenever it is true that the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, 'the claim that all domestic dogs appear ultimately to have been derived from the wolf is false' is true.", "Assuming the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, we know that standardisation is primarily the responsibility of the private sector.", 'We know that at least one of two things is true: killing can involve shooting, or ecosystems typically contain many complex interactions that occur simultaneously.', "When killing can involve shooting is true, it follows that if the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, then the claim that trees tumble down wooded slopes where their branches kiss the water has no merit.", "On the condition that ecosystems typically contain many complex interactions that occur simultaneously, it is definitely the case that if the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, then the claim that trees tumble down wooded slopes where their branches kiss the water has no merit.", "So long as writing is a natural ability that reading and school can enhance, 'if standardisation is primarily the responsibility of the private sector, then trees tumble down wooded slopes where their branches kiss the water' is true.", 'If the statement that states writing is a natural ability that reading and school can enhance is false, then a scribbler is a journalist.', 'The claim that a scribbler is a journalist is false.']
|
Whenever it is true that the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, 'the claim that all domestic dogs appear ultimately to have been derived from the wolf is false' is true. Assuming the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, we know that standardisation is primarily the responsibility of the private sector. We know that at least one of two things is true: killing can involve shooting, or ecosystems typically contain many complex interactions that occur simultaneously. When killing can involve shooting is true, it follows that if the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, then the claim that trees tumble down wooded slopes where their branches kiss the water has no merit. On the condition that ecosystems typically contain many complex interactions that occur simultaneously, it is definitely the case that if the statement that states if the statement that 'either commitments acts as a glue which bonds relationships or acidic lakes have fish' is incorrect, then all domestic dogs appear ultimately to have been derived from the wolf is false, then the claim that trees tumble down wooded slopes where their branches kiss the water has no merit. So long as writing is a natural ability that reading and school can enhance, 'if standardisation is primarily the responsibility of the private sector, then trees tumble down wooded slopes where their branches kiss the water' is true. If the statement that states writing is a natural ability that reading and school can enhance is false, then a scribbler is a journalist. The claim that a scribbler is a journalist is false.
|
There is good reason to believe that either commitments acts as a glue which bonds relationships or acidic lakes have fish.
|
At least one of two things is true: commitment starts with a desire to reach out to others, or some acidic lakes have no fish.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].).
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [4].
If [4], then [3]. [SC2-3]
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]..
[SC2-3]
Modus Ponens:
If [7], then (If [4], then [3].).
[7] [SC2-4]
Therefore, If [4], then [3]..
[SC2-4]
Modus Tonens:
If (Not [7].), then [8].
Not [8].
Therefore, [7].
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).).
If [6], then (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).).
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].)..
|
{0: 'Commitments acts as a glue which bonds relationships.', 1: 'Acidic lakes have fish.', 2: 'All domestic dogs appear ultimately to have been derived from the wolf.', 3: 'Trees tumble down wooded slopes where their branches kiss the water.', 4: 'Standardisation is primarily the responsibility of the private sector.', 5: 'Killing can involve shooting.', 6: 'Ecosystems typically contain many complex interactions that occur simultaneously.', 7: 'Writing is a natural ability that reading and school can enhance.', 8: 'A scribbler is a journalist.'}
| 6 |
5,357 |
['We know that at least one of two things is true: every grain of sand is a universe, every universe, a grain of sand, or either viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or deforestation can disrupt the lives of local communities, sometimes with devastating consequences.', 'Should it be the case that either viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or deforestation can disrupt the lives of local communities, sometimes with devastating consequences, it follows that most people carry weight.', 'Either one or both of these statements are true: parrots eat food, or urban trees are often under stress from human activities.', 'Either one or both of these statements are true: trapdoor spider covers several families and many different species, or if either parrots eat food or urban trees are often under stress from human activities, then if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure.', 'The claim that trapdoor spider covers several families and many different species does not reflect reality.', 'It is the case that mimesis causes mirror-image negative emotions.', 'It is rational to believe that either an affluent is a person or if potassium has key functions for many body processes, then an ascidian is a chordate.', "So long as an affluent is a person, 'if mimesis causes mirror-image negative emotions, then if if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure, then if every grain of sand is a universe, every universe, a grain of sand, then most people carry weight' is true.", 'Once we know if potassium has key functions for many body processes, then an ascidian is a chordate, we also know that if mimesis causes mirror-image negative emotions, then if if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure, then if every grain of sand is a universe, every universe, a grain of sand, then most people carry weight.']
|
We know that at least one of two things is true: every grain of sand is a universe, every universe, a grain of sand, or either viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or deforestation can disrupt the lives of local communities, sometimes with devastating consequences. Should it be the case that either viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins or deforestation can disrupt the lives of local communities, sometimes with devastating consequences, it follows that most people carry weight. Either one or both of these statements are true: parrots eat food, or urban trees are often under stress from human activities. Either one or both of these statements are true: trapdoor spider covers several families and many different species, or if either parrots eat food or urban trees are often under stress from human activities, then if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure. The claim that trapdoor spider covers several families and many different species does not reflect reality. It is the case that mimesis causes mirror-image negative emotions. It is rational to believe that either an affluent is a person or if potassium has key functions for many body processes, then an ascidian is a chordate. So long as an affluent is a person, 'if mimesis causes mirror-image negative emotions, then if if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure, then if every grain of sand is a universe, every universe, a grain of sand, then most people carry weight' is true. Once we know if potassium has key functions for many body processes, then an ascidian is a chordate, we also know that if mimesis causes mirror-image negative emotions, then if if technology is the largest cause of change in American society, then nitrous oxide produces either no change or only a slight increase in blood pressure, then if every grain of sand is a universe, every universe, a grain of sand, then most people carry weight.
|
The claim that most people carry weight is true.
|
The claim that most people carry weight is true.
|
TRUE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].).
If [1], then [0]. [SC2-1]
If (Either [2] or [3].), then [0].
Therefore, [0].
[SC2-1]
Modus Ponens:
If (Either [4] or [5].), then (If [1], then [0].). [SC1-2]
Either [4] or [5].
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Either [4] or [5].), then (If [6], then [7].). [SC1-3]
If (If [6], then [7].), then (If [1], then [0].). [SC2-3]
Therefore, If (Either [4] or [5].), then (If [1], then [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Either [4] or [5].), then (If [6], then [7].).).
Not [8].
Therefore, If (Either [4] or [5].), then (If [6], then [7].)..
[SC2-3]
Modus Ponens:
If [9], then (If (If [6], then [7].), then (If [1], then [0].).). [SC1-4]
[9]
Therefore, If (If [6], then [7].), then (If [1], then [0].)..
[SC1-4]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (If [9], then (If (If [6], then [7].), then (If [1], then [0].).).).
If (If [11], then [12].), then (If [9], then (If (If [6], then [7].), then (If [1], then [0].).).).
Therefore, If [9], then (If (If [6], then [7].), then (If [1], then [0].).)..
|
{0: 'Most people carry weight.', 1: 'Every grain of sand is a universe, every universe, a grain of sand.', 2: 'Viruses adsorb to their host cell surface via specific antireceptor molecules, often glycoproteins.', 3: 'Deforestation can disrupt the lives of local communities, sometimes with devastating consequences.', 4: 'Parrots eat food.', 5: 'Urban trees are often under stress from human activities.', 6: 'Technology is the largest cause of change in American society.', 7: 'Nitrous oxide produces either no change or only a slight increase in blood pressure.', 8: 'Trapdoor spider covers several families and many different species.', 9: 'Mimesis causes mirror-image negative emotions.', 10: 'An affluent is a person.', 11: 'Potassium has key functions for many body processes.', 12: 'An ascidian is a chordate.'}
| 6 |
5,069 |
["We know that at least one of two things is true: mosquitoes are most active during the late evening, night time and early morning hours, or the statement 'if gravity is a force that pulls everything down to the Earth, then most minerals occur with other minerals' can be considered false.", 'Should it be the case that chinese medicine emphasizes energy while Western medicine considers structure and function, it follows that either rattlesnakes have (part) cytoplasm or ozone is a gas that is helpful and takes in harmful rays from the sun .', 'When scientists learn lots is true, it follows that women tend to be more spontaneous in lovemaking then men.', 'Once we know either rattlesnakes have (part) cytoplasm or ozone is a gas that is helpful and takes in harmful rays from the sun , we also know that either geodetic surveyors use high-accuracy techniques or diatoms have (part) cell membranes.', 'Provided that either geodetic surveyors use high-accuracy techniques or diatoms have (part) cell membranes, we know that the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold.', 'We know that either financial planning is always about the future or a photocathode is a cathode.', 'When financial planning is always about the future is true, it follows that if women tend to be more spontaneous in lovemaking then men, then the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold.', 'Provided that a photocathode is a cathode, we know that if women tend to be more spontaneous in lovemaking then men, then the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold.', 'Assuming either realists favor the sciences or seals placed around windows, doors, vents, and chimneys can prevent heat from escaping, we know that either chinese medicine emphasizes energy while Western medicine considers structure and function or scientists learn lots.', 'It is a fact that either realists favor the sciences or seals placed around windows, doors, vents, and chimneys can prevent heat from escaping.']
|
We know that at least one of two things is true: mosquitoes are most active during the late evening, night time and early morning hours, or the statement 'if gravity is a force that pulls everything down to the Earth, then most minerals occur with other minerals' can be considered false. Should it be the case that chinese medicine emphasizes energy while Western medicine considers structure and function, it follows that either rattlesnakes have (part) cytoplasm or ozone is a gas that is helpful and takes in harmful rays from the sun . When scientists learn lots is true, it follows that women tend to be more spontaneous in lovemaking then men. Once we know either rattlesnakes have (part) cytoplasm or ozone is a gas that is helpful and takes in harmful rays from the sun , we also know that either geodetic surveyors use high-accuracy techniques or diatoms have (part) cell membranes. Provided that either geodetic surveyors use high-accuracy techniques or diatoms have (part) cell membranes, we know that the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold. We know that either financial planning is always about the future or a photocathode is a cathode. When financial planning is always about the future is true, it follows that if women tend to be more spontaneous in lovemaking then men, then the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold. Provided that a photocathode is a cathode, we know that if women tend to be more spontaneous in lovemaking then men, then the statement, mosquitoes are most active during the late evening, night time and early morning hours, does not hold. Assuming either realists favor the sciences or seals placed around windows, doors, vents, and chimneys can prevent heat from escaping, we know that either chinese medicine emphasizes energy while Western medicine considers structure and function or scientists learn lots. It is a fact that either realists favor the sciences or seals placed around windows, doors, vents, and chimneys can prevent heat from escaping.
|
The statement 'if gravity is a force that pulls everything down to the Earth, then most minerals occur with other minerals' can be considered false.
|
Once we know gravity is a force that pulls everything down to the Earth, we also know that most minerals occur with other minerals.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Not (If [0], then [1].).).
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5]. [SC1-2]
If (Either [3] or [4].), then (Not [2].). [SC2-2]
If [5], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC1-2]
Constructive Dilemma:
Either [10] or [11]. [SC1-3]
If [10], then (Either [3] or [4].).
If [11], then [5].
Therefore, Either (Either [3] or [4].) or [5]..
[SC1-3]
Modus Ponens:
If (Either [12] or [13].), then (Either [10] or [11].).
Either [12] or [13].
Therefore, Either [10] or [11]..
[SC2-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [2].).
Therefore, If (Either [3] or [4].), then (Not [2].)..
[SC3-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (Not [2].).).
If [9], then (If [5], then (Not [2].).).
Therefore, If [5], then (Not [2].)..
|
{0: 'Gravity is a force that pulls everything down to the Earth.', 1: 'Most minerals occur with other minerals.', 2: 'Mosquitoes are most active during the late evening, night time and early morning hours.', 3: 'Rattlesnakes have (part) cytoplasm.', 4: 'Ozone is a gas that is helpful and takes in harmful rays from the sun .', 5: 'Women tend to be more spontaneous in lovemaking then men.', 6: 'Geodetic surveyors use high-accuracy techniques.', 7: 'Diatoms have (part) cell membranes.', 8: 'Financial planning is always about the future.', 9: 'A photocathode is a cathode.', 10: 'Chinese medicine emphasizes energy while Western medicine considers structure and function.', 11: 'Scientists learn lots.', 12: 'Realists favor the sciences.', 13: 'Seals placed around windows, doors, vents, and chimneys can prevent heat from escaping.'}
| 6 |
5,514 |
['If alcoholic beverages are under different regulations around the world, then the claim that if some nitrogen comes from proteins, then some nematodes have recta does not reflect reality.', 'On the condition that it is not the case that if dogs can serve people in many ways, then if alcoholic beverages are under different regulations around the world, then if some nitrogen comes from proteins, then some nematodes have recta, it is definitely the case that it is a common misconception that cold receptors are also abundant in the cornea, but heat and touch receptors seem to be lacking.', 'Either one or both of these statements are true: racial discrimination is, once again, tied to poverty, or giraffes live in grassland.', "So long as racial discrimination is, once again, tied to poverty, 'dogs can serve people in many ways' is true.", 'It is a fact that either laser therapy is a highly effective and non-invasive form of treatment or if it is not the case that if dogs can serve people in many ways, then if alcoholic beverages are under different regulations around the world, then if some nitrogen comes from proteins, then some nematodes have recta, then cold receptors are also abundant in the cornea, but heat and touch receptors seem to be lacking.', 'The statement that states laser therapy is a highly effective and non-invasive form of treatment is false.', 'One may reasonably assume that if we know that the claim that if giraffes live in grassland, then dogs can serve people in many ways is false, then mailing lists are like discussion groups on e-mail.', 'Provided that we know that the claim that if giraffes live in grassland, then dogs can serve people in many ways is false, we know that some people mistakenly believe that mailing lists are like discussion groups on e-mail.']
|
If alcoholic beverages are under different regulations around the world, then the claim that if some nitrogen comes from proteins, then some nematodes have recta does not reflect reality. On the condition that it is not the case that if dogs can serve people in many ways, then if alcoholic beverages are under different regulations around the world, then if some nitrogen comes from proteins, then some nematodes have recta, it is definitely the case that it is a common misconception that cold receptors are also abundant in the cornea, but heat and touch receptors seem to be lacking. Either one or both of these statements are true: racial discrimination is, once again, tied to poverty, or giraffes live in grassland. So long as racial discrimination is, once again, tied to poverty, 'dogs can serve people in many ways' is true. It is a fact that either laser therapy is a highly effective and non-invasive form of treatment or if it is not the case that if dogs can serve people in many ways, then if alcoholic beverages are under different regulations around the world, then if some nitrogen comes from proteins, then some nematodes have recta, then cold receptors are also abundant in the cornea, but heat and touch receptors seem to be lacking. The statement that states laser therapy is a highly effective and non-invasive form of treatment is false. One may reasonably assume that if we know that the claim that if giraffes live in grassland, then dogs can serve people in many ways is false, then mailing lists are like discussion groups on e-mail. Provided that we know that the claim that if giraffes live in grassland, then dogs can serve people in many ways is false, we know that some people mistakenly believe that mailing lists are like discussion groups on e-mail.
|
The claim that alcoholic beverages are under different regulations around the world has no merit.
|
The claim that alcoholic beverages are beverages does not reflect reality.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (If [1], then [2].). [SC1-1]
If [0], then (Not (If [1], then [2].).).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (If [0], then (If [1], then [2].).). [SC1-2]
[3] [SC2-2]
Therefore, If [0], then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [0], then (If [1], then [2].).).).), then [6]. [SC1-3]
If (Not (If [3], then (If [0], then (If [1], then [2].).).).), then (Not [6].).
Therefore, If [3], then (If [0], then (If [1], then [2].).)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If [3], then (If [0], then (If [1], then [2].).).).), then [6].).
Not [8].
Therefore, If (Not (If [3], then (If [0], then (If [1], then [2].).).).), then [6]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then [3].
If [5], then [3]. [SC3-3]
Therefore, [3].
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then [3].).), then [7].
If (Not (If [5], then [3].).), then (Not [7].).
Therefore, If [5], then [3]..
|
{0: 'Alcoholic beverages are under different regulations around the world.', 1: 'Some nitrogen comes from proteins.', 2: 'Some nematodes have recta.', 3: 'Dogs can serve people in many ways.', 4: 'Racial discrimination is, once again, tied to poverty.', 5: 'Giraffes live in grassland.', 6: 'Cold receptors are also abundant in the cornea, but heat and touch receptors seem to be lacking.', 7: 'Mailing lists are like discussion groups on e-mail.', 8: 'Laser therapy is a highly effective and non-invasive form of treatment.'}
| 6 |
5,509 |
['There is good reason to believe that either cardamom seeds provide evidence or if computers emit radio signals, then illnesses include diseases.', "Whenever it is true that it is not true that either bathing when dehydrated helps to replenish moisture right through the pores or those that suggest cardamom seeds provide evidence are wrong, 'it is not the case that most bobcats kill deer' is true.", 'Should it be the case that bathing when dehydrated helps to replenish moisture right through the pores, it follows that some ulcer is caused by aspirin.', "So long as bathing when dehydrated helps to replenish moisture right through the pores, 'it is a common misconception that some ulcer is caused by aspirin' is true.", 'It is not true that axons can be several feet long, can go down the spine and across the hemispheres of the brain.', 'Once we know the claim that either axons can be several feet long, can go down the spine and across the hemispheres of the brain or if it is not true that either bathing when dehydrated helps to replenish moisture right through the pores or those that suggest cardamom seeds provide evidence are wrong, then most bobcats kill deer does not reflect reality, we also know that malaria is spread by the bite of certain kinds of infected female mosquitoes.', 'The claim that malaria is spread by the bite of certain kinds of infected female mosquitoes has no merit.']
|
There is good reason to believe that either cardamom seeds provide evidence or if computers emit radio signals, then illnesses include diseases. Whenever it is true that it is not true that either bathing when dehydrated helps to replenish moisture right through the pores or those that suggest cardamom seeds provide evidence are wrong, 'it is not the case that most bobcats kill deer' is true. Should it be the case that bathing when dehydrated helps to replenish moisture right through the pores, it follows that some ulcer is caused by aspirin. So long as bathing when dehydrated helps to replenish moisture right through the pores, 'it is a common misconception that some ulcer is caused by aspirin' is true. It is not true that axons can be several feet long, can go down the spine and across the hemispheres of the brain. Once we know the claim that either axons can be several feet long, can go down the spine and across the hemispheres of the brain or if it is not true that either bathing when dehydrated helps to replenish moisture right through the pores or those that suggest cardamom seeds provide evidence are wrong, then most bobcats kill deer does not reflect reality, we also know that malaria is spread by the bite of certain kinds of infected female mosquitoes. The claim that malaria is spread by the bite of certain kinds of infected female mosquitoes has no merit.
|
Should it be the case that computers emit radio signals, it follows that illnesses include diseases.
|
The statement that states if computers emit radio signals, then illnesses include diseases is false.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [2].).).), then [5]. [SC1-3]
If (Not (Either [3] or (Not [2].).).), then (Not [5].).
Therefore, Either [3] or (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not (Either [3] or (Not [2].).).), then [5].). [SC1-4]
Not [6].
Therefore, If (Not (Either [3] or (Not [2].).).), then [5]..
[SC1-4]
Modus Tonens:
If (Not (Either [6] or (If (Not (Either [3] or (Not [2].).).), then [5].).).), then [7].
Not [7].
Therefore, Either [6] or (If (Not (Either [3] or (Not [2].).).), then [5].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
|
{0: 'Computers emit radio signals.', 1: 'Illnesses include diseases.', 2: 'Cardamom seeds provide evidence.', 3: 'Bathing when dehydrated helps to replenish moisture right through the pores.', 4: 'Some ulcer is caused by aspirin.', 5: 'Most bobcats kill deer.', 6: 'Axons can be several feet long, can go down the spine and across the hemispheres of the brain.', 7: 'Malaria is spread by the bite of certain kinds of infected female mosquitoes.'}
| 6 |
5,340 |
['When the claim that australian children go to school in classrooms connected to the Internet does not correspond with reality is true, it follows that the claim that cheese is a good source of calcium does not correspond with reality.', "Whenever it is true that the claim that australian children go to school in classrooms connected to the Internet does not correspond with reality, 'wood is used for furniture, millwork, flooring, butcher blocks, and musical instruments' is true.", 'On the condition that mediterranean diets include oil, it is definitely the case that infants everywhere have the same developmental potential.', 'At least one of two things is true: some food contains yeast, or water hardness is measured in grains per gallon.', 'On the condition that some food contains yeast, it is definitely the case that if infants everywhere have the same developmental potential, then cheese is a good source of calcium.', 'Assuming water hardness is measured in grains per gallon, we know that if infants everywhere have the same developmental potential, then cheese is a good source of calcium.', 'One may reasonably assume that if either birds enjoy meals or birds can fly away, but buildings stay to suffer the consequences of environmental neglect, then if wood is used for furniture, millwork, flooring, butcher blocks, and musical instruments, then mediterranean diets include oil.', 'Either birds enjoy meals or birds can fly away, but buildings stay to suffer the consequences of environmental neglect.']
|
When the claim that australian children go to school in classrooms connected to the Internet does not correspond with reality is true, it follows that the claim that cheese is a good source of calcium does not correspond with reality. Whenever it is true that the claim that australian children go to school in classrooms connected to the Internet does not correspond with reality, 'wood is used for furniture, millwork, flooring, butcher blocks, and musical instruments' is true. On the condition that mediterranean diets include oil, it is definitely the case that infants everywhere have the same developmental potential. At least one of two things is true: some food contains yeast, or water hardness is measured in grains per gallon. On the condition that some food contains yeast, it is definitely the case that if infants everywhere have the same developmental potential, then cheese is a good source of calcium. Assuming water hardness is measured in grains per gallon, we know that if infants everywhere have the same developmental potential, then cheese is a good source of calcium. One may reasonably assume that if either birds enjoy meals or birds can fly away, but buildings stay to suffer the consequences of environmental neglect, then if wood is used for furniture, millwork, flooring, butcher blocks, and musical instruments, then mediterranean diets include oil. Either birds enjoy meals or birds can fly away, but buildings stay to suffer the consequences of environmental neglect.
|
It is the case that australian children go to school in classrooms connected to the Internet.
|
Australian children learn how to protect themselves from the sun at school.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If [2], then [3]. [SC1-3]
If [3], then [1]. [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [4]. [SC1-4]
If [4], then [3].
Therefore, If [2], then [3]..
[SC1-4]
Modus Ponens:
If (Either [7] or [8].), then (If [2], then [4].).
Either [7] or [8].
Therefore, If [2], then [4]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [1].).
If [6], then (If [3], then [1].).
Therefore, If [3], then [1]..
|
{0: 'Australian children go to school in classrooms connected to the Internet.', 1: 'Cheese is a good source of calcium.', 2: 'Wood is used for furniture, millwork, flooring, butcher blocks, and musical instruments.', 3: 'Infants everywhere have the same developmental potential.', 4: 'Mediterranean diets include oil.', 5: 'Some food contains yeast.', 6: 'Water hardness is measured in grains per gallon.', 7: 'Birds enjoy meals.', 8: 'Birds can fly away, but buildings stay to suffer the consequences of environmental neglect.'}
| 6 |
5,221 |
['It is a fact that either rabies is almost always fatal to animals and people once signs of the disease appears or all metals react differently when exposed to soil for a long time.', 'The statement, most severe cataracts lead to blindness, does not hold.', "Whenever it is true that the notion that 'if rabies is almost always fatal to animals and people once signs of the disease appears, then water has benefits' is untrue, 'masturbation prepares the mind and body for sex' is true.", "Provided that the notion that 'if rabies is almost always fatal to animals and people once signs of the disease appears, then water has benefits' is untrue, we know that the statement that 'masturbation prepares the mind and body for sex' is incorrect.", 'One may reasonably assume that if buildings differ in size, function, and location, then if water has benefits, then kidney stones can form in the kidney.', 'It is rational to agree that buildings differ in size, function, and location.', "Assuming those that suggest if the statement 'if all metals react differently when exposed to soil for a long time, then kidney stones can form in the kidney' can be considered false, then most severe cataracts lead to blindness are wrong, we know that either wolves have two different types of fur or skies are used for daydreamings.", 'The claim that either wolves have two different types of fur or skies are used for daydreamings is false.']
|
It is a fact that either rabies is almost always fatal to animals and people once signs of the disease appears or all metals react differently when exposed to soil for a long time. The statement, most severe cataracts lead to blindness, does not hold. Whenever it is true that the notion that 'if rabies is almost always fatal to animals and people once signs of the disease appears, then water has benefits' is untrue, 'masturbation prepares the mind and body for sex' is true. Provided that the notion that 'if rabies is almost always fatal to animals and people once signs of the disease appears, then water has benefits' is untrue, we know that the statement that 'masturbation prepares the mind and body for sex' is incorrect. One may reasonably assume that if buildings differ in size, function, and location, then if water has benefits, then kidney stones can form in the kidney. It is rational to agree that buildings differ in size, function, and location. Assuming those that suggest if the statement 'if all metals react differently when exposed to soil for a long time, then kidney stones can form in the kidney' can be considered false, then most severe cataracts lead to blindness are wrong, we know that either wolves have two different types of fur or skies are used for daydreamings. The claim that either wolves have two different types of fur or skies are used for daydreamings is false.
|
The idea that kidney stones can form in the kidney is true.
|
Kidney stones is the term commonly used to refer to stones, or calculi, in the urinary system.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then [4]. [SC1-2]
If [4], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [4].).), then [6].
If (Not (If [1], then [4].).), then (Not [6].).
Therefore, If [1], then [4]..
[SC2-2]
Modus Ponens:
If [5], then (If [4], then [0].).
[5]
Therefore, If [4], then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3].
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then [3].).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If (Not (If [2], then [0].).), then [3]..
|
{0: 'Kidney stones can form in the kidney.', 1: 'Rabies is almost always fatal to animals and people once signs of the disease appears.', 2: 'All metals react differently when exposed to soil for a long time.', 3: 'Most severe cataracts lead to blindness.', 4: 'Water has benefits.', 5: 'Buildings differ in size, function, and location.', 6: 'Masturbation prepares the mind and body for sex.', 7: 'Wolves have two different types of fur.', 8: 'Skies are used for daydreamings.'}
| 6 |
5,928 |
['Once we know nuclear pores allow transport between nucleus and cytosol, we also know that if the statement that states chlamydospores have no mechanism for dispersal is false, then natural victimisation includes disasters, health hazards and predatory agents.', 'The claim that nuclear pores allow transport between nucleus and cytosol holds true.', 'It is reasonable to believe that maps are a type of geographic model.', "Whenever it is true that either spiritual genocide refers to the presence of sin and hatred in people's hearts or most spider mites are greenish-white to yellow in color, although some can be orange or reddish, 'if maps are a type of geographic model, then if the statement that states chlamydospores have no mechanism for dispersal is false, then some people mistakenly believe that natural victimisation includes disasters, health hazards and predatory agents' is true.", "Assuming free enterprise is the engine of the Argentine economy, we know that either spiritual genocide refers to the presence of sin and hatred in people's hearts or most spider mites are greenish-white to yellow in color, although some can be orange or reddish.", 'It is rational to believe that either realism is increasingly important in categories such as dolls, model trains and action figures or high alkalinity can significantly increase the root medium pH over time.', 'Once we know realism is increasingly important in categories such as dolls, model trains and action figures, we also know that free enterprise is the engine of the Argentine economy.', 'If high alkalinity can significantly increase the root medium pH over time, then free enterprise is the engine of the Argentine economy.']
|
Once we know nuclear pores allow transport between nucleus and cytosol, we also know that if the statement that states chlamydospores have no mechanism for dispersal is false, then natural victimisation includes disasters, health hazards and predatory agents. The claim that nuclear pores allow transport between nucleus and cytosol holds true. It is reasonable to believe that maps are a type of geographic model. Whenever it is true that either spiritual genocide refers to the presence of sin and hatred in people's hearts or most spider mites are greenish-white to yellow in color, although some can be orange or reddish, 'if maps are a type of geographic model, then if the statement that states chlamydospores have no mechanism for dispersal is false, then some people mistakenly believe that natural victimisation includes disasters, health hazards and predatory agents' is true. Assuming free enterprise is the engine of the Argentine economy, we know that either spiritual genocide refers to the presence of sin and hatred in people's hearts or most spider mites are greenish-white to yellow in color, although some can be orange or reddish. It is rational to believe that either realism is increasingly important in categories such as dolls, model trains and action figures or high alkalinity can significantly increase the root medium pH over time. Once we know realism is increasingly important in categories such as dolls, model trains and action figures, we also know that free enterprise is the engine of the Argentine economy. If high alkalinity can significantly increase the root medium pH over time, then free enterprise is the engine of the Argentine economy.
|
It is a simple truth that chlamydospores have no mechanism for dispersal.
|
It is a simple truth that chlamydospores have no mechanism for dispersal.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).). [SC1-2]
[3]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (If [3], then (If (Not [0].), then (Not [1].).).).
Either [4] or [5]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
[SC2-3]
Modus Ponens:
If [6], then (Either [4] or [5].).
[6] [SC2-4]
Therefore, Either [4] or [5]..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then [6].
If [8], then [6].
Therefore, [6].
|
{0: 'Chlamydospores have no mechanism for dispersal.', 1: 'Natural victimisation includes disasters, health hazards and predatory agents.', 2: 'Nuclear pores allow transport between nucleus and cytosol.', 3: 'Maps are a type of geographic model.', 4: "Spiritual genocide refers to the presence of sin and hatred in people's hearts.", 5: 'Most spider mites are greenish-white to yellow in color, although some can be orange or reddish.', 6: 'Free enterprise is the engine of the Argentine economy.', 7: 'Realism is increasingly important in categories such as dolls, model trains and action figures.', 8: 'High alkalinity can significantly increase the root medium pH over time.'}
| 6 |
5,146 |
["When the statement that 'if cold temperatures are ideal for storing batteries, then blueberries are very low in calories' is incorrect is true, it follows that some foxes use long claws.", 'One may reasonably assume that if blueberries are very low in calories, then some people mistakenly believe that some ground attracts aphids.', "One may reasonably assume that if the claim that if the statement that 'if cold temperatures are ideal for storing batteries, then blueberries are very low in calories' is incorrect, then we know that the claim that some foxes use long claws is false does not correspond with reality, then mild peppers have a small amount of capsaicin and extra hot ones have a lot of it.", 'The claim that mild peppers have a small amount of capsaicin and extra hot ones have a lot of it has no merit.', 'Either one or both of these statements are true: tranquilizers can lessen agitation and motion sickness in pets traveling by car, or if blueberries are very low in calories, then some ground attracts aphids.', "Whenever it is true that tranquilizers can lessen agitation and motion sickness in pets traveling by car, 'white sharks are warm-bodied' is true.", 'Assuming tranquilizers can lessen agitation and motion sickness in pets traveling by car, we know that we know that the claim that white sharks are warm-bodied is false.']
|
When the statement that 'if cold temperatures are ideal for storing batteries, then blueberries are very low in calories' is incorrect is true, it follows that some foxes use long claws. One may reasonably assume that if blueberries are very low in calories, then some people mistakenly believe that some ground attracts aphids. One may reasonably assume that if the claim that if the statement that 'if cold temperatures are ideal for storing batteries, then blueberries are very low in calories' is incorrect, then we know that the claim that some foxes use long claws is false does not correspond with reality, then mild peppers have a small amount of capsaicin and extra hot ones have a lot of it. The claim that mild peppers have a small amount of capsaicin and extra hot ones have a lot of it has no merit. Either one or both of these statements are true: tranquilizers can lessen agitation and motion sickness in pets traveling by car, or if blueberries are very low in calories, then some ground attracts aphids. Whenever it is true that tranquilizers can lessen agitation and motion sickness in pets traveling by car, 'white sharks are warm-bodied' is true. Assuming tranquilizers can lessen agitation and motion sickness in pets traveling by car, we know that we know that the claim that white sharks are warm-bodied is false.
|
The notion that 'cold temperatures are ideal for storing batteries' is untrue.
|
It is not the case that cold temperatures are suitable to the formation of molecules.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [3].
If (Not (If [0], then [1].).), then (Not [3].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Not [3].).).), then [5].
Not [5].
Therefore, If (Not (If [0], then [1].).), then (Not [3].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].).
Not [4]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'Cold temperatures are ideal for storing batteries.', 1: 'Blueberries are very low in calories.', 2: 'Some ground attracts aphids.', 3: 'Some foxes use long claws.', 4: 'Tranquilizers can lessen agitation and motion sickness in pets traveling by car.', 5: 'Mild peppers have a small amount of capsaicin and extra hot ones have a lot of it.', 6: 'White sharks are warm-bodied.'}
| 6 |
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