id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
| label
stringclasses 3
values | arg
stringlengths 54
2.02k
| statements
stringlengths 51
1.12k
| depth
int64 1
7
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|---|---|---|---|---|---|---|---|---|
5,631 |
['Provided that snails exist on a diet primarily of living and decaying plants, fruits, and barks, we know that mascots have (part) cytoplasm.', 'We know that at least one of two things is true: oversimplification is simplification, or either trees are generally more tolerant of flooding during cool weather or the claim that mascots have (part) cytoplasm is false.', 'The claim that oversimplification is simplification does not reflect reality.', 'Given that if ripen berries have appearances, then more grand parents live apart from their grand children, it can be inferred that it is not the case that trees are generally more tolerant of flooding during cool weather.', "So long as mass events seem to have an effect on the individual, 'either if ripen berries have appearances, then more grand parents live apart from their grand children or mindfulness develops day by day, and consequently, meditators gain penetrating insight' is true.", 'We can assume that mass events seem to have an effect on the individual.', "When the statement that 'if mindfulness develops day by day, and consequently, meditators gain penetrating insight, then it is not the case that trees are generally more tolerant of flooding during cool weather' is incorrect is true, it follows that eagles have a large, strong beaks with a sharp hook at the tip.", "The statement 'eagles have a large, strong beaks with a sharp hook at the tip' can be considered false."]
|
Provided that snails exist on a diet primarily of living and decaying plants, fruits, and barks, we know that mascots have (part) cytoplasm. We know that at least one of two things is true: oversimplification is simplification, or either trees are generally more tolerant of flooding during cool weather or the claim that mascots have (part) cytoplasm is false. The claim that oversimplification is simplification does not reflect reality. Given that if ripen berries have appearances, then more grand parents live apart from their grand children, it can be inferred that it is not the case that trees are generally more tolerant of flooding during cool weather. So long as mass events seem to have an effect on the individual, 'either if ripen berries have appearances, then more grand parents live apart from their grand children or mindfulness develops day by day, and consequently, meditators gain penetrating insight' is true. We can assume that mass events seem to have an effect on the individual. When the statement that 'if mindfulness develops day by day, and consequently, meditators gain penetrating insight, then it is not the case that trees are generally more tolerant of flooding during cool weather' is incorrect is true, it follows that eagles have a large, strong beaks with a sharp hook at the tip. The statement 'eagles have a large, strong beaks with a sharp hook at the tip' can be considered false.
|
The statement, snails exist on a diet primarily of living and decaying plants, fruits, and barks, does not hold.
|
The statement, snails exist on a diet primarily of living and decaying plants, fruits, and barks, does not hold.
|
TRUE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (Either [2] or (Not [1].).).
Not [3].
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-3]
If (If [4], then [5].), then (Not [2].).
If [6], then (Not [2].). [SC3-3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [8], then (Either (If [4], then [5].) or [6].).
[8]
Therefore, Either (If [4], then [5].) or [6]..
[SC3-3]
Modus Tonens:
If (Not (If [6], then (Not [2].).).), then [7].
Not [7].
Therefore, If [6], then (Not [2].)..
|
{0: 'Snails exist on a diet primarily of living and decaying plants, fruits, and barks.', 1: 'Mascots have (part) cytoplasm.', 2: 'Trees are generally more tolerant of flooding during cool weather.', 3: 'Oversimplification is simplification.', 4: 'Ripen berries have appearances.', 5: 'More grand parents live apart from their grand children.', 6: 'Mindfulness develops day by day, and consequently, meditators gain penetrating insight.', 7: 'Eagles have a large, strong beaks with a sharp hook at the tip.', 8: 'Mass events seem to have an effect on the individual.'}
| 6 |
5,185 |
['Should it be the case that the claim that either most magnets have field strength or bakeries have (part) room light has no merit, it follows that we know that the claim that food safety is an issue that concerns every food producer and consumer is false.', 'One may reasonably assume that if internal signs are haemorrhage in most of the visceral organs, then if most magnets have field strength, then most shrubs have stem diameters.', 'We can assume that internal signs are haemorrhage in most of the visceral organs.', 'Provided that the claim that if bakeries have (part) room light, then most shrubs have stem diameters does not correspond with reality, we know that pro golfers are workers.', "Once we know the claim that if bakeries have (part) room light, then most shrubs have stem diameters does not correspond with reality, we also know that the statement that 'pro golfers are workers' is incorrect.", 'There is good reason to believe that either drastic diets produce results or discrimination is a problem which arises in relation to equality before the law.', 'Provided that drastic diets produce results, we know that if the claim that either most magnets have field strength or bakeries have (part) room light has no merit, then food safety is an issue that concerns every food producer and consumer.', "So long as discrimination is a problem which arises in relation to equality before the law, 'ceilings are used for paintings' is true.", 'Provided that ceilings are used for paintings, we know that if the claim that either most magnets have field strength or bakeries have (part) room light has no merit, then food safety is an issue that concerns every food producer and consumer.']
|
Should it be the case that the claim that either most magnets have field strength or bakeries have (part) room light has no merit, it follows that we know that the claim that food safety is an issue that concerns every food producer and consumer is false. One may reasonably assume that if internal signs are haemorrhage in most of the visceral organs, then if most magnets have field strength, then most shrubs have stem diameters. We can assume that internal signs are haemorrhage in most of the visceral organs. Provided that the claim that if bakeries have (part) room light, then most shrubs have stem diameters does not correspond with reality, we know that pro golfers are workers. Once we know the claim that if bakeries have (part) room light, then most shrubs have stem diameters does not correspond with reality, we also know that the statement that 'pro golfers are workers' is incorrect. There is good reason to believe that either drastic diets produce results or discrimination is a problem which arises in relation to equality before the law. Provided that drastic diets produce results, we know that if the claim that either most magnets have field strength or bakeries have (part) room light has no merit, then food safety is an issue that concerns every food producer and consumer. So long as discrimination is a problem which arises in relation to equality before the law, 'ceilings are used for paintings' is true. Provided that ceilings are used for paintings, we know that if the claim that either most magnets have field strength or bakeries have (part) room light has no merit, then food safety is an issue that concerns every food producer and consumer.
|
Many people rightly believe that most shrubs have stem diameters.
|
Many people rightly believe that most shrubs have stem diameters.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [5]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [5].).
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (Either [1] or [2].).), then [5].).
If [7], then (If (Not (Either [1] or [2].).), then [5].). [SC3-3]
Therefore, If (Not (Either [1] or [2].).), then [5]..
[SC3-3]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If (Not (Either [1] or [2].).), then [5].).
Therefore, If [7], then (If (Not (Either [1] or [2].).), then [5].)..
[SC2-1]
Modus Ponens:
If [3], then (If [1], then [0].).
[3]
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [4].
If (Not (If [2], then [0].).), then (Not [4].).
Therefore, If [2], then [0]..
|
{0: 'Most shrubs have stem diameters.', 1: 'Most magnets have field strength.', 2: 'Bakeries have (part) room light.', 3: 'Internal signs are haemorrhage in most of the visceral organs.', 4: 'Pro golfers are workers.', 5: 'Food safety is an issue that concerns every food producer and consumer.', 6: 'Drastic diets produce results.', 7: 'Discrimination is a problem which arises in relation to equality before the law.', 8: 'Ceilings are used for paintings.'}
| 6 |
5,732 |
["When the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue is true, it follows that physicists still tend to think more deterministically than biologists.", 'It is a fact that either linguistic anthropologists study the role of language in various cultures or fertilizer usually is incorporated into the soil at the time the planter is filled.', "So long as linguistic anthropologists study the role of language in various cultures, 'rockies are above sea level' is true.", "Assuming the claim that if the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue, then those that suggest physicists still tend to think more deterministically than biologists are wrong is false, we know that air is also a conductor of heat.", "One may reasonably assume that if the claim that if the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue, then those that suggest physicists still tend to think more deterministically than biologists are wrong is false, then it is not the case that air is also a conductor of heat.", "Given that the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, it can be inferred that pigeons can live about five years in the wild.", 'There is good reason to believe that either several individuals feed on animals or goldenrod attracts more varieties of insects than just about any other flower.', "If several individuals feed on animals, then if the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, then the claim that pigeons can live about five years in the wild does not reflect reality.", "On the condition that goldenrod attracts more varieties of insects than just about any other flower, it is definitely the case that if the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, then the claim that pigeons can live about five years in the wild does not reflect reality."]
|
When the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue is true, it follows that physicists still tend to think more deterministically than biologists. It is a fact that either linguistic anthropologists study the role of language in various cultures or fertilizer usually is incorporated into the soil at the time the planter is filled. So long as linguistic anthropologists study the role of language in various cultures, 'rockies are above sea level' is true. Assuming the claim that if the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue, then those that suggest physicists still tend to think more deterministically than biologists are wrong is false, we know that air is also a conductor of heat. One may reasonably assume that if the claim that if the notion that 'if rockies are above sea level, then a lyophilization is evaporation' is untrue, then those that suggest physicists still tend to think more deterministically than biologists are wrong is false, then it is not the case that air is also a conductor of heat. Given that the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, it can be inferred that pigeons can live about five years in the wild. There is good reason to believe that either several individuals feed on animals or goldenrod attracts more varieties of insects than just about any other flower. If several individuals feed on animals, then if the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, then the claim that pigeons can live about five years in the wild does not reflect reality. On the condition that goldenrod attracts more varieties of insects than just about any other flower, it is definitely the case that if the statement 'if fertilizer usually is incorporated into the soil at the time the planter is filled, then rockies are above sea level' can be considered false, then the claim that pigeons can live about five years in the wild does not reflect reality.
|
The claim that a lyophilization is evaporation holds true.
|
The claim that a lyophilization is evaporation holds true.
|
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 [4].
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then [5].
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then (Not [5].).
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1].
If [3], then [1]. [SC3-2]
Therefore, [1].
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then [6].
If (Not (If [3], then [1].).), then (Not [6].). [SC2-3]
Therefore, If [3], then [1]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If [3], then [1].).), then (Not [6].).).
If [8], then (If (Not (If [3], then [1].).), then (Not [6].).).
Therefore, If (Not (If [3], then [1].).), then (Not [6].)..
|
{0: 'A lyophilization is evaporation.', 1: 'Rockies are above sea level.', 2: 'Linguistic anthropologists study the role of language in various cultures.', 3: 'Fertilizer usually is incorporated into the soil at the time the planter is filled.', 4: 'Physicists still tend to think more deterministically than biologists.', 5: 'Air is also a conductor of heat.', 6: 'Pigeons can live about five years in the wild.', 7: 'Several individuals feed on animals.', 8: 'Goldenrod attracts more varieties of insects than just about any other flower.'}
| 6 |
5,404 |
['There is good reason to believe that either sleep is as necessary to life as food and water or if pronghorns get water, then surface water is classified into five different classes depending on the cleanliness of the water.', 'When sleep is as necessary to life as food and water is true, it follows that endometriosis is a puzzling disease that affects women in their reproductive years.', 'Given that if pronghorns get water, then surface water is classified into five different classes depending on the cleanliness of the water, it can be inferred that it is not true that grills are located in kitchens.', 'The claim that most species have monomorphic workers, but in some the workers are polymorphic has no merit.', 'The statement, life is ubiquitous on Earth and appears in a diversity of forms, does not hold.', 'On the condition that some ranches have barns, it is definitely the case that life is ubiquitous on Earth and appears in a diversity of forms.', 'Assuming the statement that states if endometriosis is a puzzling disease that affects women in their reproductive years, then most species have monomorphic workers, but in some the workers are polymorphic is false, we know that lesser mealworms develop through several stages before they molt into the pupal stage.', "So long as lesser mealworms develop through several stages before they molt into the pupal stage, 'some ranches have barns' is true."]
|
There is good reason to believe that either sleep is as necessary to life as food and water or if pronghorns get water, then surface water is classified into five different classes depending on the cleanliness of the water. When sleep is as necessary to life as food and water is true, it follows that endometriosis is a puzzling disease that affects women in their reproductive years. Given that if pronghorns get water, then surface water is classified into five different classes depending on the cleanliness of the water, it can be inferred that it is not true that grills are located in kitchens. The claim that most species have monomorphic workers, but in some the workers are polymorphic has no merit. The statement, life is ubiquitous on Earth and appears in a diversity of forms, does not hold. On the condition that some ranches have barns, it is definitely the case that life is ubiquitous on Earth and appears in a diversity of forms. Assuming the statement that states if endometriosis is a puzzling disease that affects women in their reproductive years, then most species have monomorphic workers, but in some the workers are polymorphic is false, we know that lesser mealworms develop through several stages before they molt into the pupal stage. So long as lesser mealworms develop through several stages before they molt into the pupal stage, 'some ranches have barns' is true.
|
It is not true that grills are located in kitchens.
|
It is not true that grills are located in kitchens.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or (If [4], then [5].).
If [3], then [1].
If (If [4], then [5].), then (Not [0].).
Therefore, Either [1] or (Not [0].)..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2].
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [6]. [SC1-3]
Not [6].
Therefore, If [1], then [2]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [1], then [2].).), then [7]. [SC1-4]
If [7], then [6].
Therefore, If (Not (If [1], then [2].).), then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [1], then [2].).), then [8].
If [8], then [7].
Therefore, If (Not (If [1], then [2].).), then [7]..
|
{0: 'Grills are located in kitchens.', 1: 'Endometriosis is a puzzling disease that affects women in their reproductive years.', 2: 'Most species have monomorphic workers, but in some the workers are polymorphic.', 3: 'Sleep is as necessary to life as food and water.', 4: 'Pronghorns get water.', 5: 'Surface water is classified into five different classes depending on the cleanliness of the water.', 6: 'Life is ubiquitous on Earth and appears in a diversity of forms.', 7: 'Some ranches have barns.', 8: 'Lesser mealworms develop through several stages before they molt into the pupal stage.'}
| 6 |
5,194 |
['One may reasonably assume that if diagonals are any segments in a polygon that connect non adjacent vertices, then teachers involve in activities.', 'Once we know either some asian culture uses vegetables or open markets provide the opportunity for economic growth and the enormous benefits from it, we also know that diagonals are any segments in a polygon that connect non adjacent vertices.', 'When either antidepressant medication can ease symptoms, restore sleep patterns and elevate mood or afterburners are devices is true, it follows that american presidents are films.', 'Should it be the case that american presidents are films, it follows that diagonals are any segments in a polygon that connect non adjacent vertices.', 'It is rational to believe that either lightning kills more people than tornadoes or if if mosses grow just about anywhere that it is wet enough, including on trees, then water content is important for assessing changes in the water balance, then either either some asian culture uses vegetables or open markets provide the opportunity for economic growth and the enormous benefits from it or either antidepressant medication can ease symptoms, restore sleep patterns and elevate mood or afterburners are devices.', 'The claim that lightning kills more people than tornadoes does not reflect reality.', "Whenever it is true that mosses grow just about anywhere that it is wet enough, including on trees, 'gophers feed on roots, stems, and leaves' is true.", "So long as gophers feed on roots, stems, and leaves, 'water content is important for assessing changes in the water balance' is true."]
|
One may reasonably assume that if diagonals are any segments in a polygon that connect non adjacent vertices, then teachers involve in activities. Once we know either some asian culture uses vegetables or open markets provide the opportunity for economic growth and the enormous benefits from it, we also know that diagonals are any segments in a polygon that connect non adjacent vertices. When either antidepressant medication can ease symptoms, restore sleep patterns and elevate mood or afterburners are devices is true, it follows that american presidents are films. Should it be the case that american presidents are films, it follows that diagonals are any segments in a polygon that connect non adjacent vertices. It is rational to believe that either lightning kills more people than tornadoes or if if mosses grow just about anywhere that it is wet enough, including on trees, then water content is important for assessing changes in the water balance, then either either some asian culture uses vegetables or open markets provide the opportunity for economic growth and the enormous benefits from it or either antidepressant medication can ease symptoms, restore sleep patterns and elevate mood or afterburners are devices. The claim that lightning kills more people than tornadoes does not reflect reality. Whenever it is true that mosses grow just about anywhere that it is wet enough, including on trees, 'gophers feed on roots, stems, and leaves' is true. So long as gophers feed on roots, stems, and leaves, 'water content is important for assessing changes in the water balance' is true.
|
It is a simple truth that teachers involve in activities.
|
It is a simple truth that teachers involve in activities.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or (Either [4] or [5].). [SC1-2]
If (Either [2] or [3].), then [1].
If (Either [4] or [5].), then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If (If [6], then [7].), then (Either (Either [2] or [3].) or (Either [4] or [5].).). [SC1-3]
If [6], then [7]. [SC2-3]
Therefore, Either (Either [2] or [3].) or (Either [4] or [5].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If (If [6], then [7].), then (Either (Either [2] or [3].) or (Either [4] or [5].).).).
Not [9].
Therefore, If (If [6], then [7].), then (Either (Either [2] or [3].) or (Either [4] or [5].).)..
[SC2-3]
Hypothetical Syllogism:
If [6], then [10].
If [10], then [7].
Therefore, If [6], then [7]..
[SC3-2]
Hypothetical Syllogism:
If (Either [4] or [5].), then [8].
If [8], then [1].
Therefore, If (Either [4] or [5].), then [1]..
|
{0: 'Teachers involve in activities.', 1: 'Diagonals are any segments in a polygon that connect non adjacent vertices.', 2: 'Some asian culture uses vegetables.', 3: 'Open markets provide the opportunity for economic growth and the enormous benefits from it.', 4: 'Antidepressant medication can ease symptoms, restore sleep patterns and elevate mood.', 5: 'Afterburners are devices.', 6: 'Mosses grow just about anywhere that it is wet enough, including on trees.', 7: 'Water content is important for assessing changes in the water balance.', 8: 'American presidents are films.', 9: 'Lightning kills more people than tornadoes.', 10: 'Gophers feed on roots, stems, and leaves.'}
| 6 |
5,564 |
['When the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false is true, it follows that those that suggest emotion takes place in the person who has it are wrong.', 'When if food allergies tend to run in families and are most common during the early years of life, then ulcers are also more likely to cause death in smokers is true, it follows that the claim that japan is still a society dominated by men has no merit.', 'Given that king cobras are the only snakes that are known to construct nests for their eggs, it can be inferred that the claim that japan is still a society dominated by men has no merit.', 'Assuming the claim that if the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false, then emotion takes place in the person who has it is false, we know that either badgers have toes or number sense includes estimation, mental math, and much more.', "Should it be the case that the claim that if the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false, then emotion takes place in the person who has it is false, it follows that the notion that 'either badgers have toes or number sense includes estimation, mental math, and much more' is untrue.", 'The claim that dogs are pack animals does not correspond with reality.', 'Should it be the case that oatmeals have (part) sauces, it follows that if the claim that either if food allergies tend to run in families and are most common during the early years of life, then ulcers are also more likely to cause death in smokers or king cobras are the only snakes that are known to construct nests for their eggs is false, then dogs are pack animals .', 'The statement that states oatmeals have (part) sauces is right.']
|
When the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false is true, it follows that those that suggest emotion takes place in the person who has it are wrong. When if food allergies tend to run in families and are most common during the early years of life, then ulcers are also more likely to cause death in smokers is true, it follows that the claim that japan is still a society dominated by men has no merit. Given that king cobras are the only snakes that are known to construct nests for their eggs, it can be inferred that the claim that japan is still a society dominated by men has no merit. Assuming the claim that if the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false, then emotion takes place in the person who has it is false, we know that either badgers have toes or number sense includes estimation, mental math, and much more. Should it be the case that the claim that if the statement that states either japan is still a society dominated by men or toddlers can be finicky eaters is false, then emotion takes place in the person who has it is false, it follows that the notion that 'either badgers have toes or number sense includes estimation, mental math, and much more' is untrue. The claim that dogs are pack animals does not correspond with reality. Should it be the case that oatmeals have (part) sauces, it follows that if the claim that either if food allergies tend to run in families and are most common during the early years of life, then ulcers are also more likely to cause death in smokers or king cobras are the only snakes that are known to construct nests for their eggs is false, then dogs are pack animals . The statement that states oatmeals have (part) sauces is right.
|
The statement 'toddlers can be finicky eaters' is true.
|
The statement that 'toddlers can be finicky eaters' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [5]. [SC1-2]
If (Not (Either [1] or [0].).), then (Not [5].).
Therefore, Either [1] or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then [5].).), then (Either [6] or [7].).
If (Not (If (Not (Either [1] or [0].).), then [5].).), then (Not (Either [6] or [7].).).
Therefore, If (Not (Either [1] or [0].).), then [5]..
[SC2-1]
Disjunction Elimination:
Either (If [2], then [3].) or [4]. [SC1-2]
If (If [2], then [3].), then (Not [1].).
If [4], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (Either (If [2], then [3].) or [4].).), then [8]. [SC1-3]
Not [8].
Therefore, Either (If [2], then [3].) or [4]..
[SC1-3]
Modus Ponens:
If [9], then (If (Not (Either (If [2], then [3].) or [4].).), then [8].).
[9]
Therefore, If (Not (Either (If [2], then [3].) or [4].).), then [8]..
|
{0: 'Toddlers can be finicky eaters.', 1: 'Japan is still a society dominated by men.', 2: 'Food allergies tend to run in families and are most common during the early years of life.', 3: 'Ulcers are also more likely to cause death in smokers.', 4: 'King cobras are the only snakes that are known to construct nests for their eggs.', 5: 'Emotion takes place in the person who has it.', 6: 'Badgers have toes.', 7: 'Number sense includes estimation, mental math, and much more.', 8: 'Dogs are pack animals .', 9: 'Oatmeals have (part) sauces.'}
| 6 |
5,401 |
['Assuming infect animals transmit viruses, we know that multifactorial traits do recur in families, because they are partly caused by genes.', "Once we know biological factors play their significant roles very early in a tree's life cycle, we also know that either prime numbers belong to an exclusive world of intellectual conceptions or the claim that multifactorial traits do recur in families, because they are partly caused by genes is false.", 'When water flows from water sources is true, it follows that either prime numbers belong to an exclusive world of intellectual conceptions or the claim that multifactorial traits do recur in families, because they are partly caused by genes is false.', "Should it be the case that metabolism refers to all of the processes by which the living organism maintains itself, it follows that the statement that 'prime numbers belong to an exclusive world of intellectual conceptions' is incorrect.", "Once we know it is not true that either biological factors play their significant roles very early in a tree's life cycle or water flows from water sources, we also know that gardens include flower plants.", "Should it be the case that it is not true that either biological factors play their significant roles very early in a tree's life cycle or water flows from water sources, it follows that the claim that gardens include flower plants has no merit.", 'At least one of two things is true: zinnias come in various heights and flower forms, or legends also record that the creatures often sat in trees, coming down only to find food.', 'If zinnias come in various heights and flower forms, then metabolism refers to all of the processes by which the living organism maintains itself.', 'Assuming legends also record that the creatures often sat in trees, coming down only to find food, we know that metabolism refers to all of the processes by which the living organism maintains itself.']
|
Assuming infect animals transmit viruses, we know that multifactorial traits do recur in families, because they are partly caused by genes. Once we know biological factors play their significant roles very early in a tree's life cycle, we also know that either prime numbers belong to an exclusive world of intellectual conceptions or the claim that multifactorial traits do recur in families, because they are partly caused by genes is false. When water flows from water sources is true, it follows that either prime numbers belong to an exclusive world of intellectual conceptions or the claim that multifactorial traits do recur in families, because they are partly caused by genes is false. Should it be the case that metabolism refers to all of the processes by which the living organism maintains itself, it follows that the statement that 'prime numbers belong to an exclusive world of intellectual conceptions' is incorrect. Once we know it is not true that either biological factors play their significant roles very early in a tree's life cycle or water flows from water sources, we also know that gardens include flower plants. Should it be the case that it is not true that either biological factors play their significant roles very early in a tree's life cycle or water flows from water sources, it follows that the claim that gardens include flower plants has no merit. At least one of two things is true: zinnias come in various heights and flower forms, or legends also record that the creatures often sat in trees, coming down only to find food. If zinnias come in various heights and flower forms, then metabolism refers to all of the processes by which the living organism maintains itself. Assuming legends also record that the creatures often sat in trees, coming down only to find food, we know that metabolism refers to all of the processes by which the living organism maintains itself.
|
The statement that states infect animals transmit viruses is false.
|
The statement that states infect animals transmit viruses is false.
|
TRUE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Either [2] or (Not [1].).).
If [5], then (Either [2] or (Not [1].).).
Therefore, Either [2] or (Not [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [8].
If (Not (Either [4] or [5].).), then (Not [8].).
Therefore, Either [4] or [5]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then [3].
If [7], then [3].
Therefore, [3].
|
{0: 'Infect animals transmit viruses.', 1: 'Multifactorial traits do recur in families, because they are partly caused by genes.', 2: 'Prime numbers belong to an exclusive world of intellectual conceptions.', 3: 'Metabolism refers to all of the processes by which the living organism maintains itself.', 4: "Biological factors play their significant roles very early in a tree's life cycle.", 5: 'Water flows from water sources.', 6: 'Zinnias come in various heights and flower forms.', 7: 'Legends also record that the creatures often sat in trees, coming down only to find food.', 8: 'Gardens include flower plants.'}
| 6 |
5,530 |
["The statement that 'tunics are robes' is incorrect.", "Whenever it is true that interference drag arises whenever two or more objects are close to each other in an airflow, 'either a prosthetist is an expert or either most particles carry small electrical charge or humans start digesting food in the mouth' is true.", 'It is rational to agree that interference drag arises whenever two or more objects are close to each other in an airflow.', "So long as the statement, if a prosthetist is an expert, then either tunics are robes or the statement, synthetic fibers resins, plastics, elastomers , does not hold, does not hold, 'abdominal ganglia have connections to muscles, though usually fewer than thoracic ganglia' is true.", "Whenever it is true that if wombats are found mainly on the east coast of Australia, from Tasmania to southern Queensland, then a bivouac is a quarters, 'if either most particles carry small electrical charge or humans start digesting food in the mouth, then either tunics are robes or the statement, synthetic fibers resins, plastics, elastomers , does not hold' is true.", 'Provided that wombats are found mainly on the east coast of Australia, from Tasmania to southern Queensland, we know that a bivouac is a quarters.', 'Assuming all homes contain substances which can be harmful to children, we know that some people mistakenly believe that abdominal ganglia have connections to muscles, though usually fewer than thoracic ganglia.', 'The statement that states all homes contain substances which can be harmful to children is right.']
|
The statement that 'tunics are robes' is incorrect. Whenever it is true that interference drag arises whenever two or more objects are close to each other in an airflow, 'either a prosthetist is an expert or either most particles carry small electrical charge or humans start digesting food in the mouth' is true. It is rational to agree that interference drag arises whenever two or more objects are close to each other in an airflow. So long as the statement, if a prosthetist is an expert, then either tunics are robes or the statement, synthetic fibers resins, plastics, elastomers , does not hold, does not hold, 'abdominal ganglia have connections to muscles, though usually fewer than thoracic ganglia' is true. Whenever it is true that if wombats are found mainly on the east coast of Australia, from Tasmania to southern Queensland, then a bivouac is a quarters, 'if either most particles carry small electrical charge or humans start digesting food in the mouth, then either tunics are robes or the statement, synthetic fibers resins, plastics, elastomers , does not hold' is true. Provided that wombats are found mainly on the east coast of Australia, from Tasmania to southern Queensland, we know that a bivouac is a quarters. Assuming all homes contain substances which can be harmful to children, we know that some people mistakenly believe that abdominal ganglia have connections to muscles, though usually fewer than thoracic ganglia. The statement that states all homes contain substances which can be harmful to children is right.
|
The statement, synthetic fibers resins, plastics, elastomers , does not hold.
|
The claim that some synthetic fibers can melt at temperatures common in prescribed burning, causing severe burns has no merit.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].). [SC1-2]
If [2], then (Either [1] or (Not [0].).). [SC2-2]
If (Either [3] or [4].), then (Either [1] or (Not [0].).). [SC3-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (Either [2] or (Either [3] or [4].).).
[8]
Therefore, Either [2] or (Either [3] or [4].)..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Either [1] or (Not [0].).).).), then [7].
Not [7]. [SC2-3]
Therefore, If [2], then (Either [1] or (Not [0].).)..
[SC2-3]
Modus Ponens:
If [9], then (Not [7].).
[9]
Therefore, Not [7]..
[SC3-2]
Modus Ponens:
If (If [5], then [6].), then (If (Either [3] or [4].), then (Either [1] or (Not [0].).).).
If [5], then [6].
Therefore, If (Either [3] or [4].), then (Either [1] or (Not [0].).)..
|
{0: 'Synthetic fibers resins, plastics, elastomers .', 1: 'Tunics are robes.', 2: 'A prosthetist is an expert.', 3: 'Most particles carry small electrical charge.', 4: 'Humans start digesting food in the mouth.', 5: 'Wombats are found mainly on the east coast of Australia, from Tasmania to southern Queensland.', 6: 'A bivouac is a quarters.', 7: 'Abdominal ganglia have connections to muscles, though usually fewer than thoracic ganglia.', 8: 'Interference drag arises whenever two or more objects are close to each other in an airflow.', 9: 'All homes contain substances which can be harmful to children.'}
| 6 |
5,656 |
["The notion that 'if red water is an animal disease, then pipistrelles have (part) piluses' is untrue.", "Whenever it is true that plants set outdoors tend to dry out quicker, 'if red water is an animal disease, then pipistrelles have (part) piluses' is true.", 'When it is not true that if it is a common misconception that if eukaryotic cells are larger and more complex, then tadpoles eat plants, algae, some dead tadpoles or other small, dead invertebrates, then plants set outdoors tend to dry out quicker is true, it follows that mites grasp prey.', 'Either pelycosaurs have (part) sterna or either yoga begins with self-acceptance and focuses on the present moment or we know that the claim that mites grasp prey is false.', 'Those that suggest pelycosaurs have (part) sterna are wrong.', 'It is a fact that either salivary glands are part of mouths or papaya trees have straight trunks.', 'Given that salivary glands are part of mouths, it can be inferred that the claim that yoga begins with self-acceptance and focuses on the present moment does not correspond with reality.', 'Assuming papaya trees have straight trunks, we know that the claim that yoga begins with self-acceptance and focuses on the present moment does not correspond with reality.']
|
The notion that 'if red water is an animal disease, then pipistrelles have (part) piluses' is untrue. Whenever it is true that plants set outdoors tend to dry out quicker, 'if red water is an animal disease, then pipistrelles have (part) piluses' is true. When it is not true that if it is a common misconception that if eukaryotic cells are larger and more complex, then tadpoles eat plants, algae, some dead tadpoles or other small, dead invertebrates, then plants set outdoors tend to dry out quicker is true, it follows that mites grasp prey. Either pelycosaurs have (part) sterna or either yoga begins with self-acceptance and focuses on the present moment or we know that the claim that mites grasp prey is false. Those that suggest pelycosaurs have (part) sterna are wrong. It is a fact that either salivary glands are part of mouths or papaya trees have straight trunks. Given that salivary glands are part of mouths, it can be inferred that the claim that yoga begins with self-acceptance and focuses on the present moment does not correspond with reality. Assuming papaya trees have straight trunks, we know that the claim that yoga begins with self-acceptance and focuses on the present moment does not correspond with reality.
|
If eukaryotic cells are larger and more complex, then tadpoles eat plants, algae, some dead tadpoles or other small, dead invertebrates.
|
So long as eukaryotic cells are larger and more complex, 'most tadpoles swim in fresh water' is true.
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-1]
Not (If [2], then [3].).
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [4]. [SC1-2]
If [4], then (If [2], then [3].).
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [4].).), then [5].
Not [5]. [SC2-3]
Therefore, If (Not (If [0], then [1].).), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].). [SC1-4]
Not [6]. [SC2-4]
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (Either [6] or (Not [5].).).
Not [7].
Therefore, Either [6] or (Not [5].)..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [6].).
If [9], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Eukaryotic cells are larger and more complex.', 1: 'Tadpoles eat plants, algae, some dead tadpoles or other small, dead invertebrates.', 2: 'Red water is an animal disease.', 3: 'Pipistrelles have (part) piluses.', 4: 'Plants set outdoors tend to dry out quicker.', 5: 'Mites grasp prey.', 6: 'Yoga begins with self-acceptance and focuses on the present moment.', 7: 'Pelycosaurs have (part) sterna.', 8: 'Salivary glands are part of mouths.', 9: 'Papaya trees have straight trunks.'}
| 6 |
5,441 |
["Whenever it is true that some people mistakenly believe that if banks hold no excess reserves, and the public holds no currency, then environmentalism is a religion, 'stress management is only one component to one's wellness lifestyle' is true.", 'On the condition that the statement that states banks hold no excess reserves, and the public holds no currency is false, it is definitely the case that religion has a basic anthropomorphic origin.', "Whenever it is true that the statement that states banks hold no excess reserves, and the public holds no currency is false, 'it is not true that religion has a basic anthropomorphic origin' is true.", 'It is a fact that either some larvae live in places or osteoclasts are clearly the agents driving bone loss due to unloading.', "One may reasonably assume that if anxiety disorders run in families and genetic or biological factors play a role in most forms, then if some larvae live in places, then the statement that states stress management is only one component to one's wellness lifestyle is false.", 'Many people rightly believe that anxiety disorders run in families and genetic or biological factors play a role in most forms.', 'We know that at least one of two things is true: if green chemists reduce the hazards and increase the efficiency of any chemical choice , then small intestine shows the parasite projecting from the brush border of the mucosal surface, or either animals are heterotrophic, and fungi are autotrophic or engine oil is a clear amber when new, though sometimes it appears a smoky olive.', "On the condition that if green chemists reduce the hazards and increase the efficiency of any chemical choice , then small intestine shows the parasite projecting from the brush border of the mucosal surface, it is definitely the case that if osteoclasts are clearly the agents driving bone loss due to unloading, then the statement that states stress management is only one component to one's wellness lifestyle is false.", "Whenever it is true that either animals are heterotrophic, and fungi are autotrophic or engine oil is a clear amber when new, though sometimes it appears a smoky olive, 'if osteoclasts are clearly the agents driving bone loss due to unloading, then the statement that states stress management is only one component to one's wellness lifestyle is false' is true."]
|
Whenever it is true that some people mistakenly believe that if banks hold no excess reserves, and the public holds no currency, then environmentalism is a religion, 'stress management is only one component to one's wellness lifestyle' is true. On the condition that the statement that states banks hold no excess reserves, and the public holds no currency is false, it is definitely the case that religion has a basic anthropomorphic origin. Whenever it is true that the statement that states banks hold no excess reserves, and the public holds no currency is false, 'it is not true that religion has a basic anthropomorphic origin' is true. It is a fact that either some larvae live in places or osteoclasts are clearly the agents driving bone loss due to unloading. One may reasonably assume that if anxiety disorders run in families and genetic or biological factors play a role in most forms, then if some larvae live in places, then the statement that states stress management is only one component to one's wellness lifestyle is false. Many people rightly believe that anxiety disorders run in families and genetic or biological factors play a role in most forms. We know that at least one of two things is true: if green chemists reduce the hazards and increase the efficiency of any chemical choice , then small intestine shows the parasite projecting from the brush border of the mucosal surface, or either animals are heterotrophic, and fungi are autotrophic or engine oil is a clear amber when new, though sometimes it appears a smoky olive. On the condition that if green chemists reduce the hazards and increase the efficiency of any chemical choice , then small intestine shows the parasite projecting from the brush border of the mucosal surface, it is definitely the case that if osteoclasts are clearly the agents driving bone loss due to unloading, then the statement that states stress management is only one component to one's wellness lifestyle is false. Whenever it is true that either animals are heterotrophic, and fungi are autotrophic or engine oil is a clear amber when new, though sometimes it appears a smoky olive, 'if osteoclasts are clearly the agents driving bone loss due to unloading, then the statement that states stress management is only one component to one's wellness lifestyle is false' is true.
|
The claim that environmentalism is a religion is true.
|
The claim that environmentalism is a religion is 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 [3].
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [3].). [SC2-3]
If [5], then (Not [3].). [SC3-3]
Therefore, Not [3]..
[SC2-3]
Modus Ponens:
If [6], then (If [4], then (Not [3].).).
[6]
Therefore, If [4], then (Not [3].)..
[SC3-3]
Disjunction Elimination:
Either (If [7], then [8].) or (Either [9] or [10].).
If (If [7], then [8].), then (If [5], then (Not [3].).).
If (Either [9] or [10].), then (If [5], then (Not [3].).).
Therefore, If [5], then (Not [3].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].).
Therefore, [1].
|
{0: 'Environmentalism is a religion.', 1: 'Banks hold no excess reserves, and the public holds no currency.', 2: 'Religion has a basic anthropomorphic origin.', 3: "Stress management is only one component to one's wellness lifestyle.", 4: 'Some larvae live in places.', 5: 'Osteoclasts are clearly the agents driving bone loss due to unloading.', 6: 'Anxiety disorders run in families and genetic or biological factors play a role in most forms.', 7: 'Green chemists reduce the hazards and increase the efficiency of any chemical choice .', 8: 'Small intestine shows the parasite projecting from the brush border of the mucosal surface.', 9: 'Animals are heterotrophic, and fungi are autotrophic.', 10: 'Engine oil is a clear amber when new, though sometimes it appears a smoky olive.'}
| 6 |
5,132 |
['The claim that some organisms have attributes of both plants and animals is false.', "So long as ovulation occurs when the follicle ruptures and releases the ovum into the body cavity, 'if some scorpions cause injuries, then some organisms have attributes of both plants and animals' is true.", 'It is true that ovulation occurs when the follicle ruptures and releases the ovum into the body cavity.', 'We know that at least one of two things is true: if huddles are crowds, then a yak is a bovine, or cold frames are protective covering.', "Given that if huddles are crowds, then a yak is a bovine, it can be inferred that either japan is the largest importer of logs from Sarawak or if the notion that 'radio is much more efficient as a medium of communication' is untrue, then some scorpions cause injuries.", "Assuming cold frames are protective covering, we know that either japan is the largest importer of logs from Sarawak or if the notion that 'radio is much more efficient as a medium of communication' is untrue, then some scorpions cause injuries.", 'Once we know japan is the largest importer of logs from Sarawak, we also know that firewalls come in several styles and purport to protect the internal network in different ways.', "The statement that 'firewalls come in several styles and purport to protect the internal network in different ways' is incorrect."]
|
The claim that some organisms have attributes of both plants and animals is false. So long as ovulation occurs when the follicle ruptures and releases the ovum into the body cavity, 'if some scorpions cause injuries, then some organisms have attributes of both plants and animals' is true. It is true that ovulation occurs when the follicle ruptures and releases the ovum into the body cavity. We know that at least one of two things is true: if huddles are crowds, then a yak is a bovine, or cold frames are protective covering. Given that if huddles are crowds, then a yak is a bovine, it can be inferred that either japan is the largest importer of logs from Sarawak or if the notion that 'radio is much more efficient as a medium of communication' is untrue, then some scorpions cause injuries. Assuming cold frames are protective covering, we know that either japan is the largest importer of logs from Sarawak or if the notion that 'radio is much more efficient as a medium of communication' is untrue, then some scorpions cause injuries. Once we know japan is the largest importer of logs from Sarawak, we also know that firewalls come in several styles and purport to protect the internal network in different ways. The statement that 'firewalls come in several styles and purport to protect the internal network in different ways' is incorrect.
|
Many people rightly believe that radio is much more efficient as a medium of communication.
|
Radio is a method of sending out sounds for long distances by the use of electricity.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not [0].), then [2].). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC1-3]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (Either [4] or (If (Not [0].), then [2].).).
If [7], then (Either [4] or (If (Not [0].), then [2].).).
Therefore, Either [4] or (If (Not [0].), then [2].)..
[SC2-3]
Modus Tonens:
If [4], then [8].
Not [8].
Therefore, Not [4]..
[SC2-2]
Modus Ponens:
If [3], then (If [2], then [1].).
[3]
Therefore, If [2], then [1]..
|
{0: 'Radio is much more efficient as a medium of communication.', 1: 'Some organisms have attributes of both plants and animals.', 2: 'Some scorpions cause injuries.', 3: 'Ovulation occurs when the follicle ruptures and releases the ovum into the body cavity.', 4: 'Japan is the largest importer of logs from Sarawak.', 5: 'Huddles are crowds.', 6: 'A yak is a bovine.', 7: 'Cold frames are protective covering.', 8: 'Firewalls come in several styles and purport to protect the internal network in different ways.'}
| 6 |
5,233 |
['The statement that states most gorillas hide in forests is false.', 'We know that either some animals shake wings or steam comes from heat.', "Given that some animals shake wings, it can be inferred that if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit.", 'It is a common misconception that coralline algae rely on a number of factors to grow well.', 'There is good reason to believe that either either food production is a critical and an essential renewable resource or dirac notation is introduced and used in the description of angular momentum and electron spin or cancer is the rapid and uncontrolled replication of cells, and it can occur in any part of the body.', "So long as either food production is a critical and an essential renewable resource or dirac notation is introduced and used in the description of angular momentum and electron spin, 'if steam comes from heat, then if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit' is true.", "One may reasonably assume that if cancer is the rapid and uncontrolled replication of cells, and it can occur in any part of the body, then if steam comes from heat, then if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit.", "One may reasonably assume that if the notion that 'if it is not true that if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then some people mistakenly believe that either equilibrium constants are dimensionless or a resonant circuit is a circuit, then coralline algae rely on a number of factors to grow well' is untrue, then some weightlessness increases excretion.", 'The claim that some weightlessness increases excretion does not correspond with reality.']
|
The statement that states most gorillas hide in forests is false. We know that either some animals shake wings or steam comes from heat. Given that some animals shake wings, it can be inferred that if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit. It is a common misconception that coralline algae rely on a number of factors to grow well. There is good reason to believe that either either food production is a critical and an essential renewable resource or dirac notation is introduced and used in the description of angular momentum and electron spin or cancer is the rapid and uncontrolled replication of cells, and it can occur in any part of the body. So long as either food production is a critical and an essential renewable resource or dirac notation is introduced and used in the description of angular momentum and electron spin, 'if steam comes from heat, then if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit' is true. One may reasonably assume that if cancer is the rapid and uncontrolled replication of cells, and it can occur in any part of the body, then if steam comes from heat, then if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then either equilibrium constants are dimensionless or a resonant circuit is a circuit. One may reasonably assume that if the notion that 'if it is not true that if the notion that 'either most gorillas hide in forests or some people refer to the scapegoating of poor people as poor-bashing ' is untrue, then some people mistakenly believe that either equilibrium constants are dimensionless or a resonant circuit is a circuit, then coralline algae rely on a number of factors to grow well' is untrue, then some weightlessness increases excretion. The claim that some weightlessness increases excretion does not correspond with reality.
|
It is the case that some people refer to the scapegoating of poor people as poor-bashing .
|
The statement that 'some people refer to the scapegoating of poor people as poor-bashing ' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then (Either [2] or [3].). [SC1-2]
If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).
If [6], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).). [SC3-3]
Therefore, If (Not (Either [1] or [0].).), then (Either [2] or [3].)..
[SC3-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If [6], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).
If [10], then (If [6], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).).
Therefore, If [6], then (If (Not (Either [1] or [0].).), then (Either [2] or [3].).)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4]. [SC1-3]
Not [4].
Therefore, If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4].).), then [7].
Not [7].
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not (Either [2] or [3].).).).), then [4]..
|
{0: 'Some people refer to the scapegoating of poor people as poor-bashing .', 1: 'Most gorillas hide in forests.', 2: 'Equilibrium constants are dimensionless.', 3: 'A resonant circuit is a circuit.', 4: 'Coralline algae rely on a number of factors to grow well.', 5: 'Some animals shake wings.', 6: 'Steam comes from heat.', 7: 'Some weightlessness increases excretion.', 8: 'Food production is a critical and an essential renewable resource.', 9: 'Dirac notation is introduced and used in the description of angular momentum and electron spin.', 10: 'Cancer is the rapid and uncontrolled replication of cells, and it can occur in any part of the body.'}
| 6 |
5,173 |
['We know that at least one of two things is true: many women miscarry more than once in their life, or animals generally have feet.', 'Once we know cancers are medical issues of paramount concern and research topics of extraordinary urgency, we also know that either deserts do scary things to people or sweat glands help to cool the animals.', 'It is fair to say that cancers are medical issues of paramount concern and research topics of extraordinary urgency.', "The notion that 'most hypertension is due to diet and weight, while some is due to heredity' is untrue.", "Provided that plant macrofossils in Quaternary lake sediments, we know that if sweat glands help to cool the animals, then the notion that 'many women miscarry more than once in their life' is untrue.", 'It is a simple truth that plant macrofossils in Quaternary lake sediments.', 'There is good reason to believe that either teflex sheets are non-stick, solid sheets or either most regions get sunlight or bug bites can be part of spring and summer ski and snowboard mountaineering.', "Provided that teflex sheets are non-stick, solid sheets, we know that if it is not the case that if deserts do scary things to people, then the notion that 'many women miscarry more than once in their life' is untrue, then most hypertension is due to diet and weight, while some is due to heredity.", "Assuming either most regions get sunlight or bug bites can be part of spring and summer ski and snowboard mountaineering, we know that if it is not the case that if deserts do scary things to people, then the notion that 'many women miscarry more than once in their life' is untrue, then most hypertension is due to diet and weight, while some is due to heredity."]
|
We know that at least one of two things is true: many women miscarry more than once in their life, or animals generally have feet. Once we know cancers are medical issues of paramount concern and research topics of extraordinary urgency, we also know that either deserts do scary things to people or sweat glands help to cool the animals. It is fair to say that cancers are medical issues of paramount concern and research topics of extraordinary urgency. The notion that 'most hypertension is due to diet and weight, while some is due to heredity' is untrue. Provided that plant macrofossils in Quaternary lake sediments, we know that if sweat glands help to cool the animals, then the notion that 'many women miscarry more than once in their life' is untrue. It is a simple truth that plant macrofossils in Quaternary lake sediments. There is good reason to believe that either teflex sheets are non-stick, solid sheets or either most regions get sunlight or bug bites can be part of spring and summer ski and snowboard mountaineering. Provided that teflex sheets are non-stick, solid sheets, we know that if it is not the case that if deserts do scary things to people, then the notion that 'many women miscarry more than once in their life' is untrue, then most hypertension is due to diet and weight, while some is due to heredity. Assuming either most regions get sunlight or bug bites can be part of spring and summer ski and snowboard mountaineering, we know that if it is not the case that if deserts do scary things to people, then the notion that 'many women miscarry more than once in their life' is untrue, then most hypertension is due to diet and weight, while some is due to heredity.
|
We can assume that animals generally have feet.
|
Most animals grow human organs.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [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 [5]. [SC1-3]
Not [5].
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (If (Not (If [2], then (Not [1].).).), then [5].).
If (Either [8] or [9].), then (If (Not (If [2], then (Not [1].).).), then [5].).
Therefore, If (Not (If [2], then (Not [1].).).), then [5]..
[SC3-2]
Modus Ponens:
If [4], then (If [3], then (Not [1].).).
[4]
Therefore, If [3], then (Not [1].)..
|
{0: 'Animals generally have feet.', 1: 'Many women miscarry more than once in their life.', 2: 'Deserts do scary things to people.', 3: 'Sweat glands help to cool the animals.', 4: 'Plant macrofossils in Quaternary lake sediments.', 5: 'Most hypertension is due to diet and weight, while some is due to heredity.', 6: 'Cancers are medical issues of paramount concern and research topics of extraordinary urgency.', 7: 'Teflex sheets are non-stick, solid sheets.', 8: 'Most regions get sunlight.', 9: 'Bug bites can be part of spring and summer ski and snowboard mountaineering.'}
| 6 |
5,428 |
['We know that either either stools can range from abnormally soft to watery or games are entertainment or a smash hit is a hit.', 'We know that at least one of two things is true: all tree frogs are carnivores, or either if rocks are more complicated with various degrees of cementation, etc, then online pharmacies are the latest Internet craze or some people mistakenly believe that either stools can range from abnormally soft to watery or games are entertainment.', "The statement 'all tree frogs are carnivores' can be considered false.", 'On the condition that if rocks are more complicated with various degrees of cementation, etc, then online pharmacies are the latest Internet craze, it is definitely the case that writing is also technology.', 'Some people mistakenly believe that conditioning is physical, putting miles on a dog and building stamina into the muscles.', 'We know that at least one of two things is true: culture is the soul of a people and the very essence of nationhood, or if writing is also technology, then conditioning is physical, putting miles on a dog and building stamina into the muscles.', 'It is not true that culture is the soul of a people and the very essence of nationhood.']
|
We know that either either stools can range from abnormally soft to watery or games are entertainment or a smash hit is a hit. We know that at least one of two things is true: all tree frogs are carnivores, or either if rocks are more complicated with various degrees of cementation, etc, then online pharmacies are the latest Internet craze or some people mistakenly believe that either stools can range from abnormally soft to watery or games are entertainment. The statement 'all tree frogs are carnivores' can be considered false. On the condition that if rocks are more complicated with various degrees of cementation, etc, then online pharmacies are the latest Internet craze, it is definitely the case that writing is also technology. Some people mistakenly believe that conditioning is physical, putting miles on a dog and building stamina into the muscles. We know that at least one of two things is true: culture is the soul of a people and the very essence of nationhood, or if writing is also technology, then conditioning is physical, putting miles on a dog and building stamina into the muscles. It is not true that culture is the soul of a people and the very essence of nationhood.
|
It is true that a smash hit is a hit.
|
It is true that a smash hit is a hit.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0].
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not (Either [1] or [2].).). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either (If [3], then [4].) or (Not (Either [1] or [2].).).).
Not [5].
Therefore, Either (If [3], then [4].) or (Not (Either [1] or [2].).)..
[SC2-2]
Modus Tonens:
If (If [3], then [4].), then [6].
Not [6]. [SC2-3]
Therefore, Not (If [3], then [4].)..
[SC2-3]
Modus Tonens:
If [6], then [7]. [SC1-4]
Not [7].
Therefore, Not [6]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [6], then [7].).
Not [8].
Therefore, If [6], then [7]..
|
{0: 'A smash hit is a hit.', 1: 'Stools can range from abnormally soft to watery.', 2: 'Games are entertainment.', 3: 'Rocks are more complicated with various degrees of cementation, etc.', 4: 'Online pharmacies are the latest Internet craze.', 5: 'All tree frogs are carnivores.', 6: 'Writing is also technology.', 7: 'Conditioning is physical, putting miles on a dog and building stamina into the muscles.', 8: 'Culture is the soul of a people and the very essence of nationhood.'}
| 6 |
5,567 |
['Either one or both of these statements are true: organisms make problems, or jackals have a large vocabulary of calls.', "Whenever it is true that organisms make problems, 'either either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce or either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil' is true.", 'Should it be the case that jackals have a large vocabulary of calls, it follows that either either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce or either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil.', 'When if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure is true, it follows that if most children have blood, then those that suggest either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce are wrong.', 'Provided that most dolphins live in warm water, we know that most children have blood.', "The statement 'most dolphins live in warm water' is true.", 'We know that at least one of two things is true: most drought kills seedlings, or cable length is a linear measure.', 'One may reasonably assume that if most drought kills seedlings, then if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure.', 'When cable length is a linear measure is true, it follows that if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure.']
|
Either one or both of these statements are true: organisms make problems, or jackals have a large vocabulary of calls. Whenever it is true that organisms make problems, 'either either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce or either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil' is true. Should it be the case that jackals have a large vocabulary of calls, it follows that either either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce or either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil. When if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure is true, it follows that if most children have blood, then those that suggest either beefeaters have (part) plasma membranes or animals make milk only if they can reproduce are wrong. Provided that most dolphins live in warm water, we know that most children have blood. The statement 'most dolphins live in warm water' is true. We know that at least one of two things is true: most drought kills seedlings, or cable length is a linear measure. One may reasonably assume that if most drought kills seedlings, then if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure. When cable length is a linear measure is true, it follows that if floods can occur anywhere, but some places are more at risk than others, then cysts also squeeze blood vessels, forcing increased blood pressure.
|
We know that either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil.
|
We know that either bacteria can contaminate meat by coming in contact with the meat surface or lichens are good at colonizing bare rock and starting to break it down into soil.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (Either [0] or [1].). [SC1-1]
Not (Either [2] or [3].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either (Either [2] or [3].) or (Either [0] or [1].).).
If [5], then (Either (Either [2] or [3].) or (Either [0] or [1].).).
Therefore, Either (Either [2] or [3].) or (Either [0] or [1].)..
[SC2-1]
Modus Ponens:
If [6], then (Not (Either [2] or [3].).). [SC1-2]
[6] [SC2-2]
Therefore, Not (Either [2] or [3].)..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (If [6], then (Not (Either [2] or [3].).).).
If [7], then [8]. [SC2-3]
Therefore, If [6], then (Not (Either [2] or [3].).)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [7], then [8].).
If [11], then (If [7], then [8].).
Therefore, If [7], then [8]..
[SC2-2]
Modus Ponens:
If [9], then [6].
[9]
Therefore, [6].
|
{0: 'Bacteria can contaminate meat by coming in contact with the meat surface.', 1: 'Lichens are good at colonizing bare rock and starting to break it down into soil.', 2: 'Beefeaters have (part) plasma membranes.', 3: 'Animals make milk only if they can reproduce.', 4: 'Organisms make problems.', 5: 'Jackals have a large vocabulary of calls.', 6: 'Most children have blood.', 7: 'Floods can occur anywhere, but some places are more at risk than others.', 8: 'Cysts also squeeze blood vessels, forcing increased blood pressure.', 9: 'Most dolphins live in warm water.', 10: 'Most drought kills seedlings.', 11: 'Cable length is a linear measure.'}
| 6 |
5,967 |
['Either tarpons commonly ascend rivers into freshwater or clout is a nail.', 'The claim that if some farmers control cows, then some diets lack vitamins is false.', "Whenever it is true that the claim that if either costume designers are important people or genesis is the origin and cause of everything, then either if some farmers control cows, then some diets lack vitamins or it is a common misconception that tarpons commonly ascend rivers into freshwater does not correspond with reality, 'koalas prefer to live alone' is true.", "So long as the claim that if either costume designers are important people or genesis is the origin and cause of everything, then either if some farmers control cows, then some diets lack vitamins or it is a common misconception that tarpons commonly ascend rivers into freshwater does not correspond with reality, 'it is not true that koalas prefer to live alone' is true.", "The statement 'body temperature fluctuates widely even through the day' can be considered false.", 'If the claim that if the statement, either costume designers are important people or genesis is the origin and cause of everything, does not hold, then body temperature fluctuates widely even through the day has no merit, then phenols also give a negative test.', 'Some people mistakenly believe that phenols also give a negative test.']
|
Either tarpons commonly ascend rivers into freshwater or clout is a nail. The claim that if some farmers control cows, then some diets lack vitamins is false. Whenever it is true that the claim that if either costume designers are important people or genesis is the origin and cause of everything, then either if some farmers control cows, then some diets lack vitamins or it is a common misconception that tarpons commonly ascend rivers into freshwater does not correspond with reality, 'koalas prefer to live alone' is true. So long as the claim that if either costume designers are important people or genesis is the origin and cause of everything, then either if some farmers control cows, then some diets lack vitamins or it is a common misconception that tarpons commonly ascend rivers into freshwater does not correspond with reality, 'it is not true that koalas prefer to live alone' is true. The statement 'body temperature fluctuates widely even through the day' can be considered false. If the claim that if the statement, either costume designers are important people or genesis is the origin and cause of everything, does not hold, then body temperature fluctuates widely even through the day has no merit, then phenols also give a negative test. Some people mistakenly believe that phenols also give a negative test.
|
Those that suggest clout is a nail are right.
|
Those that suggest clout is a nail are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (Not [1].). [SC1-2]
Not (If [2], then [3].).
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (Either (If [2], then [3].) or (Not [1].).). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, Either (If [2], then [3].) or (Not [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (Either (If [2], then [3].) or (Not [1].).).).), then [7].
If (Not (If (Either [4] or [5].), then (Either (If [2], then [3].) or (Not [1].).).).), then (Not [7].).
Therefore, If (Either [4] or [5].), then (Either (If [2], then [3].) or (Not [1].).)..
[SC2-3]
Modus Tonens:
If (Not (Either [4] or [5].).), then [6]. [SC1-4]
Not [6].
Therefore, Either [4] or [5]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (Either [4] or [5].).), then [6].).), then [8].
Not [8].
Therefore, If (Not (Either [4] or [5].).), then [6]..
|
{0: 'Clout is a nail.', 1: 'Tarpons commonly ascend rivers into freshwater.', 2: 'Some farmers control cows.', 3: 'Some diets lack vitamins.', 4: 'Costume designers are important people.', 5: 'Genesis is the origin and cause of everything.', 6: 'Body temperature fluctuates widely even through the day.', 7: 'Koalas prefer to live alone.', 8: 'Phenols also give a negative test.'}
| 6 |
5,758 |
["So long as it is a common misconception that either rivers wind past cities and towns to empty into estuaries and coastal oceans or t is for thymine Purine Bases Adenine and guanine are purines, 'if bees have (part) heads, then corn is pollinated by wind-borne pollen' is true.", "So long as the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, 'river otters are a distant relative of the weasel family' is true.", 'It is rational to believe that either seafood plays a big part in keeping the foods served healthy and value oriented or if t is for thymine Purine Bases Adenine and guanine are purines, then outer shells serve vital functions.', 'The claim that seafood plays a big part in keeping the foods served healthy and value oriented does not reflect reality.', 'At least one of two things is true: chinchillas are extremely clean, have no natural odor, and are generally very healthy animals, or it is a common misconception that if bees have (part) heads, then corn is pollinated by wind-borne pollen.', 'We know that the claim that chinchillas are extremely clean, have no natural odor, and are generally very healthy animals is false.', "So long as the statement that states if the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, then it is not the case that river otters are a distant relative of the weasel family is false, 'either birds are also responsible for the wide dispersion of seeds or manifestation is indications' is true.", "Given that the statement that states if the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, then it is not the case that river otters are a distant relative of the weasel family is false, it can be inferred that the statement 'either birds are also responsible for the wide dispersion of seeds or manifestation is indications' can be considered false."]
|
So long as it is a common misconception that either rivers wind past cities and towns to empty into estuaries and coastal oceans or t is for thymine Purine Bases Adenine and guanine are purines, 'if bees have (part) heads, then corn is pollinated by wind-borne pollen' is true. So long as the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, 'river otters are a distant relative of the weasel family' is true. It is rational to believe that either seafood plays a big part in keeping the foods served healthy and value oriented or if t is for thymine Purine Bases Adenine and guanine are purines, then outer shells serve vital functions. The claim that seafood plays a big part in keeping the foods served healthy and value oriented does not reflect reality. At least one of two things is true: chinchillas are extremely clean, have no natural odor, and are generally very healthy animals, or it is a common misconception that if bees have (part) heads, then corn is pollinated by wind-borne pollen. We know that the claim that chinchillas are extremely clean, have no natural odor, and are generally very healthy animals is false. So long as the statement that states if the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, then it is not the case that river otters are a distant relative of the weasel family is false, 'either birds are also responsible for the wide dispersion of seeds or manifestation is indications' is true. Given that the statement that states if the statement that states if rivers wind past cities and towns to empty into estuaries and coastal oceans, then outer shells serve vital functions is false, then it is not the case that river otters are a distant relative of the weasel family is false, it can be inferred that the statement 'either birds are also responsible for the wide dispersion of seeds or manifestation is indications' can be considered false.
|
outer shells serve vital functions.
|
Some outer shells protect larvae.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then (If [5], then [6].).
Not (If [5], then [6].). [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (Not (If [5], then [6].).).
Not [9].
Therefore, Not (If [5], then [6].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [4].
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then (Either [7] or [8].).
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then (Not (Either [7] or [8].).).
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
[SC3-1]
Disjunctive Syllogism:
Either [3] or (If [2], then [0].).
Not [3].
Therefore, If [2], then [0]..
|
{0: 'Outer shells serve vital functions.', 1: 'Rivers wind past cities and towns to empty into estuaries and coastal oceans.', 2: 'T is for thymine Purine Bases Adenine and guanine are purines.', 3: 'Seafood plays a big part in keeping the foods served healthy and value oriented.', 4: 'River otters are a distant relative of the weasel family.', 5: 'Bees have (part) heads.', 6: 'Corn is pollinated by wind-borne pollen.', 7: 'Birds are also responsible for the wide dispersion of seeds.', 8: 'Manifestation is indications.', 9: 'Chinchillas are extremely clean, have no natural odor, and are generally very healthy animals.'}
| 6 |
5,626 |
['We know that either mites have an average lifespan of three months but in that short time span they set to work fast or either blood is a great gatherer of evil spirits or some lilacs have hearts.', 'It is not the case that mites have an average lifespan of three months but in that short time span they set to work fast.', 'It is true that plasma dissolves carbon dioxide.', 'One may reasonably assume that if we know that the claim that if blood is a great gatherer of evil spirits, then it is a common misconception that interdependence is necessary for survival on all planes of existence is false, then volcano fixes nitrogen into plant-available forms.', 'When we know that the claim that if blood is a great gatherer of evil spirits, then it is a common misconception that interdependence is necessary for survival on all planes of existence is false is true, it follows that we know that the claim that volcano fixes nitrogen into plant-available forms is false.', 'There is good reason to believe that either insects depend on plants or if plasma dissolves carbon dioxide, then if blood is a great gatherer of evil spirits, then interdependence is necessary for survival on all planes of existence.', 'Those that suggest insects depend on plants are wrong.']
|
We know that either mites have an average lifespan of three months but in that short time span they set to work fast or either blood is a great gatherer of evil spirits or some lilacs have hearts. It is not the case that mites have an average lifespan of three months but in that short time span they set to work fast. It is true that plasma dissolves carbon dioxide. One may reasonably assume that if we know that the claim that if blood is a great gatherer of evil spirits, then it is a common misconception that interdependence is necessary for survival on all planes of existence is false, then volcano fixes nitrogen into plant-available forms. When we know that the claim that if blood is a great gatherer of evil spirits, then it is a common misconception that interdependence is necessary for survival on all planes of existence is false is true, it follows that we know that the claim that volcano fixes nitrogen into plant-available forms is false. There is good reason to believe that either insects depend on plants or if plasma dissolves carbon dioxide, then if blood is a great gatherer of evil spirits, then interdependence is necessary for survival on all planes of existence. Those that suggest insects depend on plants are wrong.
|
The statement that states some lilacs have hearts is right.
|
It is not the case that some lilacs have hearts.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].).
Not [2].
Therefore, Either [1] or [0]..
[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 [4], then (If [1], then [3].). [SC1-3]
[4]
Therefore, If [1], then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If [1], then [3].).).
Not [6].
Therefore, If [4], then (If [1], then [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [3].).).), then [5].
If (Not (If [1], then (Not [3].).).), then (Not [5].).
Therefore, If [1], then (Not [3].)..
|
{0: 'Some lilacs have hearts.', 1: 'Blood is a great gatherer of evil spirits.', 2: 'Mites have an average lifespan of three months but in that short time span they set to work fast.', 3: 'Interdependence is necessary for survival on all planes of existence.', 4: 'Plasma dissolves carbon dioxide.', 5: 'Volcano fixes nitrogen into plant-available forms.', 6: 'Insects depend on plants.'}
| 6 |
5,096 |
["So long as if planning is a problem in forming procedural networks that satisfy all posted constraints, then flasks consist of flasks, 'some people perpetrate hoaxes about viruses to prey on people's fears' is true.", 'At least one of two things is true: some healthy individuals have burdens, or if if planning is a problem in forming procedural networks that satisfy all posted constraints, then flasks consist of flasks, then it is not true that if mining can also include other things like oil and natural gas, then corals also require high light levels for photosynthesis.', "Given that aphids suck the juices from the tenderest tips, it can be inferred that if some people perpetrate hoaxes about viruses to prey on people's fears, then if mining can also include other things like oil and natural gas, then corals also require high light levels for photosynthesis.", 'It is rational to agree that aphids suck the juices from the tenderest tips.', 'At least one of two things is true: helps neutralize and detoxify chemical pollutants, or reduced waste can also lead to improved products and safety for workers.', 'Provided that reduced waste can also lead to improved products and safety for workers, we know that the claim that some healthy individuals have burdens is false.', 'One may reasonably assume that if if participant isa someone, then american mothers teach their children to be self-reliant, then if helps neutralize and detoxify chemical pollutants, then the claim that some healthy individuals have burdens is false.', 'Given that participant isa someone, it can be inferred that american mothers teach their children to be self-reliant.']
|
So long as if planning is a problem in forming procedural networks that satisfy all posted constraints, then flasks consist of flasks, 'some people perpetrate hoaxes about viruses to prey on people's fears' is true. At least one of two things is true: some healthy individuals have burdens, or if if planning is a problem in forming procedural networks that satisfy all posted constraints, then flasks consist of flasks, then it is not true that if mining can also include other things like oil and natural gas, then corals also require high light levels for photosynthesis. Given that aphids suck the juices from the tenderest tips, it can be inferred that if some people perpetrate hoaxes about viruses to prey on people's fears, then if mining can also include other things like oil and natural gas, then corals also require high light levels for photosynthesis. It is rational to agree that aphids suck the juices from the tenderest tips. At least one of two things is true: helps neutralize and detoxify chemical pollutants, or reduced waste can also lead to improved products and safety for workers. Provided that reduced waste can also lead to improved products and safety for workers, we know that the claim that some healthy individuals have burdens is false. One may reasonably assume that if if participant isa someone, then american mothers teach their children to be self-reliant, then if helps neutralize and detoxify chemical pollutants, then the claim that some healthy individuals have burdens is false. Given that participant isa someone, it can be inferred that american mothers teach their children to be self-reliant.
|
It is not true that if planning is a problem in forming procedural networks that satisfy all posted constraints, then flasks consist of flasks.
|
Whenever it is true that planning is a problem in forming procedural networks that satisfy all posted constraints, 'flasks consist of flasks' is true.
|
FALSE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then (If [2], then [3].). [SC1-1]
If (If [0], then [1].), then (Not (If [2], then [3].).). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Hypothetical Syllogism:
If (If [0], then [1].), then [5].
If [5], then (If [2], then [3].). [SC2-2]
Therefore, If (If [0], then [1].), then (If [2], then [3].)..
[SC2-2]
Modus Ponens:
If [6], then (If [5], then (If [2], then [3].).).
[6]
Therefore, If [5], then (If [2], then [3].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If (If [0], then [1].), then (Not (If [2], then [3].).).).
Not [4]. [SC2-2]
Therefore, If (If [0], then [1].), then (Not (If [2], then [3].).)..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [4].). [SC2-3]
If [8], then (Not [4].).
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If (If [9], then [10].), then (If [7], then (Not [4].).).
If [9], then [10].
Therefore, If [7], then (Not [4].)..
|
{0: 'Planning is a problem in forming procedural networks that satisfy all posted constraints.', 1: 'Flasks consist of flasks.', 2: 'Mining can also include other things like oil and natural gas.', 3: 'Corals also require high light levels for photosynthesis.', 4: 'Some healthy individuals have burdens.', 5: "Some people perpetrate hoaxes about viruses to prey on people's fears.", 6: 'Aphids suck the juices from the tenderest tips.', 7: 'Helps neutralize and detoxify chemical pollutants.', 8: 'Reduced waste can also lead to improved products and safety for workers.', 9: 'Participant isa someone.', 10: 'American mothers teach their children to be self-reliant.'}
| 6 |
5,781 |
['The claim that either ocean view means ocean view or kaffir lilies have different flowering habits does not reflect reality.', 'The claim that fasting causes death does not reflect reality.', "Whenever it is true that those that suggest if the claim that if tree kangaroos are found only in the rain forests of Australia, West Papua, and Papua New Guinea, then some pathogen causes infection has no merit, then either ocean view means ocean view or kaffir lilies have different flowering habits are wrong, 'passports are legal forms' is true.", "Provided that the claim that if some pathogen causes infection, then fasting causes death does not correspond with reality, we know that if hatha yoga is composed of a series of postures or poses called 'asanas', then regeneration contains three types of fiber to maintain intestinal integrity.", "Provided that the claim that if some pathogen causes infection, then fasting causes death does not correspond with reality, we know that it is not the case that if hatha yoga is composed of a series of postures or poses called 'asanas', then regeneration contains three types of fiber to maintain intestinal integrity.", 'One may reasonably assume that if passports are legal forms, then shelters can also protect birds from harsh weather.', 'The statement that states shelters can also protect birds from harsh weather is false.']
|
The claim that either ocean view means ocean view or kaffir lilies have different flowering habits does not reflect reality. The claim that fasting causes death does not reflect reality. Whenever it is true that those that suggest if the claim that if tree kangaroos are found only in the rain forests of Australia, West Papua, and Papua New Guinea, then some pathogen causes infection has no merit, then either ocean view means ocean view or kaffir lilies have different flowering habits are wrong, 'passports are legal forms' is true. Provided that the claim that if some pathogen causes infection, then fasting causes death does not correspond with reality, we know that if hatha yoga is composed of a series of postures or poses called 'asanas', then regeneration contains three types of fiber to maintain intestinal integrity. Provided that the claim that if some pathogen causes infection, then fasting causes death does not correspond with reality, we know that it is not the case that if hatha yoga is composed of a series of postures or poses called 'asanas', then regeneration contains three types of fiber to maintain intestinal integrity. One may reasonably assume that if passports are legal forms, then shelters can also protect birds from harsh weather. The statement that states shelters can also protect birds from harsh weather is false.
|
The statement, tree kangaroos are found only in the rain forests of Australia, West Papua, and Papua New Guinea, does not hold.
|
It is rational to agree that tree kangaroos are found only in the rain forests of Australia, West Papua, and Papua New Guinea.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (Either [3] or [4].). [SC1-2]
Not (Either [3] or [4].).
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then [7].
Not [7]. [SC2-3]
Therefore, If (Not (If [0], then [1].).), then (Either [3] or [4].)..
[SC2-3]
Modus Tonens:
If [7], then [8].
Not [8].
Therefore, Not [7]..
[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 (If [5], then [6].).
If (Not (If [1], then [2].).), then (Not (If [5], then [6].).).
Therefore, If [1], then [2]..
|
{0: 'Tree kangaroos are found only in the rain forests of Australia, West Papua, and Papua New Guinea.', 1: 'Some pathogen causes infection.', 2: 'Fasting causes death.', 3: 'Ocean view means ocean view.', 4: 'Kaffir lilies have different flowering habits.', 5: "Hatha yoga is composed of a series of postures or poses called 'asanas'.", 6: 'Regeneration contains three types of fiber to maintain intestinal integrity.', 7: 'Passports are legal forms.', 8: 'Shelters can also protect birds from harsh weather.'}
| 6 |
5,499 |
['Some people mistakenly believe that catatonia refers to a state of almost unresponsiveness on the part of a person.', 'When those that suggest either catatonia refers to a state of almost unresponsiveness on the part of a person or if some people think that gunfire and fireworks reflect happiness, then mollusks are found throughout most mangrove habitats are wrong is true, it follows that babies are immortal.', 'The idea that patients are animals is true.', 'It is rational to believe that either most hybrid plants make poor growth or if millibars are obsolete units, then micas are igneous rocks.', 'Once we know most hybrid plants make poor growth, we also know that it is a common misconception that aggraded flats are valley floors without well-defined stream channels or scars.', "So long as if millibars are obsolete units, then micas are igneous rocks, 'it is a common misconception that aggraded flats are valley floors without well-defined stream channels or scars' is true.", "Whenever it is true that either every energy transfer involves a loss of energy or some lamps also have lead in their components, usually in solder in the lamp base, 'if patients are animals, then either aggraded flats are valley floors without well-defined stream channels or scars or the claim that babies are immortal does not reflect reality' is true.", 'We know that either every energy transfer involves a loss of energy or some lamps also have lead in their components, usually in solder in the lamp base.']
|
Some people mistakenly believe that catatonia refers to a state of almost unresponsiveness on the part of a person. When those that suggest either catatonia refers to a state of almost unresponsiveness on the part of a person or if some people think that gunfire and fireworks reflect happiness, then mollusks are found throughout most mangrove habitats are wrong is true, it follows that babies are immortal. The idea that patients are animals is true. It is rational to believe that either most hybrid plants make poor growth or if millibars are obsolete units, then micas are igneous rocks. Once we know most hybrid plants make poor growth, we also know that it is a common misconception that aggraded flats are valley floors without well-defined stream channels or scars. So long as if millibars are obsolete units, then micas are igneous rocks, 'it is a common misconception that aggraded flats are valley floors without well-defined stream channels or scars' is true. Whenever it is true that either every energy transfer involves a loss of energy or some lamps also have lead in their components, usually in solder in the lamp base, 'if patients are animals, then either aggraded flats are valley floors without well-defined stream channels or scars or the claim that babies are immortal does not reflect reality' is true. We know that either every energy transfer involves a loss of energy or some lamps also have lead in their components, usually in solder in the lamp base.
|
Assuming some people think that gunfire and fireworks reflect happiness, we know that mollusks are found throughout most mangrove habitats.
|
It is not the case that if some people think that gunfire and fireworks reflect happiness, then mollusks are found throughout most mangrove habitats.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then [3].
Not [3]. [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If [5], then (Either [4] or (Not [3].).). [SC1-4]
[5]
Therefore, Either [4] or (Not [3].)..
[SC1-4]
Modus Ponens:
If (Either [9] or [10].), then (If [5], then (Either [4] or (Not [3].).).).
Either [9] or [10].
Therefore, If [5], then (Either [4] or (Not [3].).)..
[SC2-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (Not [4].).
If (If [7], then [8].), then (Not [4].).
Therefore, Not [4]..
|
{0: 'Some people think that gunfire and fireworks reflect happiness.', 1: 'Mollusks are found throughout most mangrove habitats.', 2: 'Catatonia refers to a state of almost unresponsiveness on the part of a person.', 3: 'Babies are immortal.', 4: 'Aggraded flats are valley floors without well-defined stream channels or scars.', 5: 'Patients are animals.', 6: 'Most hybrid plants make poor growth.', 7: 'Millibars are obsolete units.', 8: 'Micas are igneous rocks.', 9: 'Every energy transfer involves a loss of energy.', 10: 'Some lamps also have lead in their components, usually in solder in the lamp base.'}
| 6 |
5,074 |
['Those that suggest desert shrews have tails are wrong.', 'It is a fact that either many woodpeckers hammer on dead, dry limbs to communicate or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then the statement, frogs are a good example of r-selected organisms, does not hold.', 'When some vapor has energy levels is true, it follows that either desert shrews have tails or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then frogs are a good example of r-selected organisms.', "Whenever it is true that optical cables use SC or duplex SC connectors, 'either desert shrews have tails or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then frogs are a good example of r-selected organisms' is true.", 'One may reasonably assume that if many woodpeckers hammer on dead, dry limbs to communicate, then watermelons are particularly dependent upon pollination.', 'On the condition that many woodpeckers hammer on dead, dry limbs to communicate, it is definitely the case that the claim that watermelons are particularly dependent upon pollination has no merit.', 'Either potassium is needed to build strong stalks, fight diseases, and translocate water within the plant or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.', 'One may reasonably assume that if potassium is needed to build strong stalks, fight diseases, and translocate water within the plant, then either some vapor has energy levels or optical cables use SC or duplex SC connectors.', 'Should it be the case that men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle, it follows that either some vapor has energy levels or optical cables use SC or duplex SC connectors.']
|
Those that suggest desert shrews have tails are wrong. It is a fact that either many woodpeckers hammer on dead, dry limbs to communicate or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then the statement, frogs are a good example of r-selected organisms, does not hold. When some vapor has energy levels is true, it follows that either desert shrews have tails or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then frogs are a good example of r-selected organisms. Whenever it is true that optical cables use SC or duplex SC connectors, 'either desert shrews have tails or if those that suggest different lichens are made up of distinct species of fungi and algae are wrong, then frogs are a good example of r-selected organisms' is true. One may reasonably assume that if many woodpeckers hammer on dead, dry limbs to communicate, then watermelons are particularly dependent upon pollination. On the condition that many woodpeckers hammer on dead, dry limbs to communicate, it is definitely the case that the claim that watermelons are particularly dependent upon pollination has no merit. Either potassium is needed to build strong stalks, fight diseases, and translocate water within the plant or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle. One may reasonably assume that if potassium is needed to build strong stalks, fight diseases, and translocate water within the plant, then either some vapor has energy levels or optical cables use SC or duplex SC connectors. Should it be the case that men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle, it follows that either some vapor has energy levels or optical cables use SC or duplex SC connectors.
|
The idea that different lichens are made up of distinct species of fungi and algae is true.
|
The idea that different lichens are made up of distinct species of fungi and algae is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then [1].). [SC1-2]
Not [3].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (Either [3] or (If (Not [0].), then [1].).).
If [6], then (Either [3] or (If (Not [0].), then [1].).).
Therefore, Either [3] or (If (Not [0].), then [1].)..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [5] or [6].).
If [8], then (Either [5] or [6].).
Therefore, Either [5] or [6]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].).
Therefore, Not [2]..
|
{0: 'Different lichens are made up of distinct species of fungi and algae.', 1: 'Frogs are a good example of r-selected organisms.', 2: 'Many woodpeckers hammer on dead, dry limbs to communicate.', 3: 'Desert shrews have tails.', 4: 'Watermelons are particularly dependent upon pollination.', 5: 'Some vapor has energy levels.', 6: 'Optical cables use SC or duplex SC connectors.', 7: 'Potassium is needed to build strong stalks, fight diseases, and translocate water within the plant.', 8: 'Men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.'}
| 6 |
5,089 |
["Either architecture is the physical manifestation of a society's view of itself or honey buzzards prefer wasps and their larvae or pupae.", "Provided that architecture is the physical manifestation of a society's view of itself, we know that if ethical issues involve a question of a certain situation being right or wrong, then the statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect.", "Given that the statement 'if honey buzzards prefer wasps and their larvae or pupae, then if ethical issues involve a question of a certain situation being right or wrong, then the statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect' can be considered false, it can be inferred that magnolia is resistant to most pests and diseases.", 'The statement, magnolia is resistant to most pests and diseases, does not hold.', 'One may reasonably assume that if the claim that ethical issues involve a question of a certain situation being right or wrong does not correspond with reality, then electricity works like the human body.', 'On the condition that electricity works like the human body, it is definitely the case that economists study the production, distribution, and consumption of commodities and services.', 'We know that either some tubes emit light or amphibians require carbohydrates.', 'On the condition that some tubes emit light, it is definitely the case that the statement, economists study the production, distribution, and consumption of commodities and services, does not hold.', 'Given that amphibians require carbohydrates, it can be inferred that the statement, economists study the production, distribution, and consumption of commodities and services, does not hold.']
|
Either architecture is the physical manifestation of a society's view of itself or honey buzzards prefer wasps and their larvae or pupae. Provided that architecture is the physical manifestation of a society's view of itself, we know that if ethical issues involve a question of a certain situation being right or wrong, then the statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect. Given that the statement 'if honey buzzards prefer wasps and their larvae or pupae, then if ethical issues involve a question of a certain situation being right or wrong, then the statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect' can be considered false, it can be inferred that magnolia is resistant to most pests and diseases. The statement, magnolia is resistant to most pests and diseases, does not hold. One may reasonably assume that if the claim that ethical issues involve a question of a certain situation being right or wrong does not correspond with reality, then electricity works like the human body. On the condition that electricity works like the human body, it is definitely the case that economists study the production, distribution, and consumption of commodities and services. We know that either some tubes emit light or amphibians require carbohydrates. On the condition that some tubes emit light, it is definitely the case that the statement, economists study the production, distribution, and consumption of commodities and services, does not hold. Given that amphibians require carbohydrates, it can be inferred that the statement, economists study the production, distribution, and consumption of commodities and services, does not hold.
|
The statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect.
|
The statement that 'most parents think that it's their job to ensure the happiness of their child' is incorrect.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then (Not [0].).).
If [4], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If [1], then (Not [0].).).).), then [6].
Not [6].
Therefore, If [4], then (If [1], then (Not [0].).)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [5].
If [5], then [2].
Therefore, If (Not [1].), then [2]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [2].).
If [8], then (Not [2].).
Therefore, Not [2]..
|
{0: "Most parents think that it's their job to ensure the happiness of their child.", 1: 'Ethical issues involve a question of a certain situation being right or wrong.', 2: 'Economists study the production, distribution, and consumption of commodities and services.', 3: "Architecture is the physical manifestation of a society's view of itself.", 4: 'Honey buzzards prefer wasps and their larvae or pupae.', 5: 'Electricity works like the human body.', 6: 'Magnolia is resistant to most pests and diseases.', 7: 'Some tubes emit light.', 8: 'Amphibians require carbohydrates.'}
| 6 |
5,609 |
['We know that at least one of two things is true: some flower plants have tissue, or it is a common misconception that either rocks contain many clues about the processes of their formation or some animals live in other animals.', "So long as it is a common misconception that if cast resin has natural sheen, then if it is not the case that if human beings order, display and ornament created objects according to their needs and desires, then houseflies have mouthparts, then either rocks contain many clues about the processes of their formation or some animals live in other animals, 'creatures have shaggy winter coats' is true.", 'Those that suggest creatures have shaggy winter coats are wrong.', 'Assuming exercise is what builds muscles, we know that cast resin has natural sheen.', "The statement 'exercise is what builds muscles' is true.", "If seaweeds are mineral rich and help promote vaginal elasticity, then the statement that 'some flower plants have tissue' is incorrect.", 'The claim that seaweeds are mineral rich and help promote vaginal elasticity holds true.']
|
We know that at least one of two things is true: some flower plants have tissue, or it is a common misconception that either rocks contain many clues about the processes of their formation or some animals live in other animals. So long as it is a common misconception that if cast resin has natural sheen, then if it is not the case that if human beings order, display and ornament created objects according to their needs and desires, then houseflies have mouthparts, then either rocks contain many clues about the processes of their formation or some animals live in other animals, 'creatures have shaggy winter coats' is true. Those that suggest creatures have shaggy winter coats are wrong. Assuming exercise is what builds muscles, we know that cast resin has natural sheen. The statement 'exercise is what builds muscles' is true. If seaweeds are mineral rich and help promote vaginal elasticity, then the statement that 'some flower plants have tissue' is incorrect. The claim that seaweeds are mineral rich and help promote vaginal elasticity holds true.
|
On the condition that human beings order, display and ornament created objects according to their needs and desires, it is definitely the case that houseflies have mouthparts.
|
Once we know human beings order, display and ornament created objects according to their needs and desires, we also know that houseflies pick up germs when they land on rotting food or dead animals.
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then (Either [2] or [3].). [SC1-1]
Not (Either [2] or [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [5], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).). [SC1-2]
[5] [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Either [2] or [3].)..
[SC1-2]
Modus Tonens:
If (Not (If [5], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then [7].
Not [7].
Therefore, If [5], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).)..
[SC2-2]
Modus Ponens:
If [8], then [5].
[8]
Therefore, [5].
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (Either [2] or [3].).).
Not [4]. [SC2-2]
Therefore, Not (Either [2] or [3].)..
[SC2-2]
Modus Ponens:
If [6], then (Not [4].).
[6]
Therefore, Not [4]..
|
{0: 'Human beings order, display and ornament created objects according to their needs and desires.', 1: 'Houseflies have mouthparts.', 2: 'Rocks contain many clues about the processes of their formation.', 3: 'Some animals live in other animals.', 4: 'Some flower plants have tissue.', 5: 'Cast resin has natural sheen.', 6: 'Seaweeds are mineral rich and help promote vaginal elasticity.', 7: 'Creatures have shaggy winter coats.', 8: 'Exercise is what builds muscles.'}
| 6 |
5,000 |
['At least one of two things is true: a mountain man is a pioneer, or some railroad companies build national railroads.', "Whenever it is true that antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing, 'the claim that metabolism occurs in living processes is false' is true.", 'There is good reason to believe that either starlings sometimes gather at a riverside and bathe in groups of hundreds or either art distills meaning from experience, which is often hard to do in reality or butterflies eat nectar and water for nourishment.', 'On the condition that starlings sometimes gather at a riverside and bathe in groups of hundreds, it is definitely the case that if some railroad companies build national railroads, then the claim that metabolism occurs in living processes is false.', 'Once we know either art distills meaning from experience, which is often hard to do in reality or butterflies eat nectar and water for nourishment, we also know that if some railroad companies build national railroads, then the claim that metabolism occurs in living processes is false.', 'Once we know a mountain man is a pioneer, we also know that children can become ill suddenly.', 'Either one or both of these statements are true: amino acids are the basic building blocks of proteins, or women have a lower center of gravity than men.', 'When women have a lower center of gravity than men is true, it follows that if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing.', 'We know that at least one of two things is true: ear ossicles are removable, or paws are touch.', "So long as ear ossicles are removable, 'if amino acids are the basic building blocks of proteins, then if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing' is true.", 'Once we know paws are touch, we also know that if amino acids are the basic building blocks of proteins, then if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing.']
|
At least one of two things is true: a mountain man is a pioneer, or some railroad companies build national railroads. Whenever it is true that antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing, 'the claim that metabolism occurs in living processes is false' is true. There is good reason to believe that either starlings sometimes gather at a riverside and bathe in groups of hundreds or either art distills meaning from experience, which is often hard to do in reality or butterflies eat nectar and water for nourishment. On the condition that starlings sometimes gather at a riverside and bathe in groups of hundreds, it is definitely the case that if some railroad companies build national railroads, then the claim that metabolism occurs in living processes is false. Once we know either art distills meaning from experience, which is often hard to do in reality or butterflies eat nectar and water for nourishment, we also know that if some railroad companies build national railroads, then the claim that metabolism occurs in living processes is false. Once we know a mountain man is a pioneer, we also know that children can become ill suddenly. Either one or both of these statements are true: amino acids are the basic building blocks of proteins, or women have a lower center of gravity than men. When women have a lower center of gravity than men is true, it follows that if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing. We know that at least one of two things is true: ear ossicles are removable, or paws are touch. So long as ear ossicles are removable, 'if amino acids are the basic building blocks of proteins, then if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing' is true. Once we know paws are touch, we also know that if amino acids are the basic building blocks of proteins, then if children can become ill suddenly, then antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing.
|
The claim that metabolism occurs in living processes is false.
|
It is rational to agree that metabolism occurs in living processes.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If [1], then [7].
If [7], then [3]. [SC2-3]
Therefore, If [1], then [3]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [7], then [3].). [SC2-4]
If [9], then (If [7], then [3].).
Therefore, If [7], then [3]..
[SC2-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [8], then (If [7], then [3].).).
If [11], then (If [8], then (If [7], then [3].).).
Therefore, If [8], then (If [7], then [3].)..
[SC3-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If [2], then (Not [0].).).
If (Either [5] or [6].), then (If [2], then (Not [0].).).
Therefore, If [2], then (Not [0].)..
|
{0: 'Metabolism occurs in living processes.', 1: 'A mountain man is a pioneer.', 2: 'Some railroad companies build national railroads.', 3: 'Antibiotics attack the bacterial cell wall and stop bacteria from growing and reproducing.', 4: 'Starlings sometimes gather at a riverside and bathe in groups of hundreds.', 5: 'Art distills meaning from experience, which is often hard to do in reality.', 6: 'Butterflies eat nectar and water for nourishment.', 7: 'Children can become ill suddenly.', 8: 'Amino acids are the basic building blocks of proteins.', 9: 'Women have a lower center of gravity than men.', 10: 'Ear ossicles are removable.', 11: 'Paws are touch.'}
| 6 |
5,392 |
['Once we know the claim that mothers post photos has no merit, we also know that some disorders affect only the central processing system.', "So long as some storm centers are part of rainstorm, 'if factorial notation is a shorthand way for writing long products of numbers, then the statement, some disorders affect only the central processing system, does not hold' is true.", "The statement 'some storm centers are part of rainstorm' can be considered true.", "The statement that 'either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems' is incorrect.", "Whenever it is true that the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, 'the claim that division is air units does not reflect reality' is true.", "One may reasonably assume that if those that suggest if the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, then division is air units are wrong, then plants typically have tiny pores in the stems and leaves of the plant called stomata.", "Once we know those that suggest if the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, then division is air units are wrong, we also know that the claim that plants typically have tiny pores in the stems and leaves of the plant called stomata does not correspond with reality."]
|
Once we know the claim that mothers post photos has no merit, we also know that some disorders affect only the central processing system. So long as some storm centers are part of rainstorm, 'if factorial notation is a shorthand way for writing long products of numbers, then the statement, some disorders affect only the central processing system, does not hold' is true. The statement 'some storm centers are part of rainstorm' can be considered true. The statement that 'either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems' is incorrect. Whenever it is true that the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, 'the claim that division is air units does not reflect reality' is true. One may reasonably assume that if those that suggest if the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, then division is air units are wrong, then plants typically have tiny pores in the stems and leaves of the plant called stomata. Once we know those that suggest if the statement that 'either either all microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis or software engineers work on technical problems or factorial notation is a shorthand way for writing long products of numbers' is incorrect, then division is air units are wrong, we also know that the claim that plants typically have tiny pores in the stems and leaves of the plant called stomata does not correspond with reality.
|
It is rational to agree that mothers post photos.
|
The statement, mothers post photos, does not hold.
|
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] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [3], then (If [2], then (Not [1].).).
[3]
Therefore, If [2], then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or [2]. [SC1-3]
Not (Either [4] or [5].).
Therefore, [2].
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [4] or [5].) or [2].).), then [6]. [SC1-4]
If (Not (Either (Either [4] or [5].) or [2].).), then (Not [6].).
Therefore, Either (Either [4] or [5].) or [2]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [4] or [5].) or [2].).), then [6].).), then [7].
If (Not (If (Not (Either (Either [4] or [5].) or [2].).), then [6].).), then (Not [7].).
Therefore, If (Not (Either (Either [4] or [5].) or [2].).), then [6]..
|
{0: 'Mothers post photos.', 1: 'Some disorders affect only the central processing system.', 2: 'Factorial notation is a shorthand way for writing long products of numbers.', 3: 'Some storm centers are part of rainstorm.', 4: 'All microbial oxidants cause oxidosis which, in turn, leads to dysoxygenosis and acidosis.', 5: 'Software engineers work on technical problems.', 6: 'Division is air units.', 7: 'Plants typically have tiny pores in the stems and leaves of the plant called stomata.'}
| 6 |
5,476 |
['We know that either dunes occur in different shapes and sizes, formed by interaction with the flow of air or water or bt corn is a type of corn that has been genetically modified.', 'When bt corn is a type of corn that has been genetically modified is true, it follows that facial musculature is generally expressionless and unchanging.', "Given that the statement 'if dunes occur in different shapes and sizes, formed by interaction with the flow of air or water, then motivation is an inward force which causes certain behavior' can be considered false, it can be inferred that economists examine how goods and services are produced and distributed.", 'Those that suggest economists examine how goods and services are produced and distributed are wrong.', 'Given that it is not the case that if motivation is an inward force which causes certain behavior, then if infect animals transmit viruses, then some beetles use wings, it can be inferred that servers have (part) heads.', "Whenever it is true that it is not the case that if motivation is an inward force which causes certain behavior, then if infect animals transmit viruses, then some beetles use wings, 'it is a common misconception that servers have (part) heads' is true.", 'Provided that antihistamines reverse many of the symptoms of the syndrome, we know that we know that the claim that if infect animals transmit viruses, then some beetles use wings is false.', 'antihistamines reverse many of the symptoms of the syndrome.']
|
We know that either dunes occur in different shapes and sizes, formed by interaction with the flow of air or water or bt corn is a type of corn that has been genetically modified. When bt corn is a type of corn that has been genetically modified is true, it follows that facial musculature is generally expressionless and unchanging. Given that the statement 'if dunes occur in different shapes and sizes, formed by interaction with the flow of air or water, then motivation is an inward force which causes certain behavior' can be considered false, it can be inferred that economists examine how goods and services are produced and distributed. Those that suggest economists examine how goods and services are produced and distributed are wrong. Given that it is not the case that if motivation is an inward force which causes certain behavior, then if infect animals transmit viruses, then some beetles use wings, it can be inferred that servers have (part) heads. Whenever it is true that it is not the case that if motivation is an inward force which causes certain behavior, then if infect animals transmit viruses, then some beetles use wings, 'it is a common misconception that servers have (part) heads' is true. Provided that antihistamines reverse many of the symptoms of the syndrome, we know that we know that the claim that if infect animals transmit viruses, then some beetles use wings is false. antihistamines reverse many of the symptoms of the syndrome.
|
Many people rightly believe that facial musculature is generally expressionless and unchanging.
|
Intermittent claudication is pain in the legs that occurs with walking and disappears with rest.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [1]. [SC2-2]
If [5], then [0].
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If [4], then [1].).), then [7].
Not [7].
Therefore, If [4], then [1]..
[SC2-1]
Modus Tonens:
If [1], then (If [2], then [3].). [SC1-2]
Not (If [2], then [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (If [2], then [3].).).), then [6].
If (Not (If [1], then (If [2], then [3].).).), then (Not [6].).
Therefore, If [1], then (If [2], then [3].)..
[SC2-2]
Modus Ponens:
If [8], then (Not (If [2], then [3].).).
[8]
Therefore, Not (If [2], then [3].)..
|
{0: 'Facial musculature is generally expressionless and unchanging.', 1: 'Motivation is an inward force which causes certain behavior.', 2: 'Infect animals transmit viruses.', 3: 'Some beetles use wings.', 4: 'Dunes occur in different shapes and sizes, formed by interaction with the flow of air or water.', 5: 'Bt corn is a type of corn that has been genetically modified.', 6: 'Servers have (part) heads.', 7: 'Economists examine how goods and services are produced and distributed.', 8: 'Antihistamines reverse many of the symptoms of the syndrome.'}
| 6 |
5,799 |
['On the condition that mangrove forests provide food, fuel, timber and medicines either directly or indirectly, it is definitely the case that red light passes through gas and dust more easily than blue light.', "Either one or both of these statements are true: either mifepristone blocks the action of progesterone, a hormone that helps some cancers grow or neurotransmitters carry nerve impulses through particular nerve pathways, or the notion that 'diseases can spread to chickens from pet birds and wild birds, so limit contact where possible' is untrue.", "The statement 'either mifepristone blocks the action of progesterone, a hormone that helps some cancers grow or neurotransmitters carry nerve impulses through particular nerve pathways' can be considered false.", 'We know that either floors are located in libraries or if a generic drug is a drug, then if if mangrove forests provide food, fuel, timber and medicines either directly or indirectly, then red light passes through gas and dust more easily than blue light, then if it is not the case that if flood insurance is a problem in a number of communities, then mailboxs are located in streets, then diseases can spread to chickens from pet birds and wild birds, so limit contact where possible.', 'The claim that floors are located in libraries is false.', 'At least one of two things is true: parents are the individuals most knowledgeable about their children and the ways they learn, or a generic drug is a drug.', 'We know that the claim that parents are the individuals most knowledgeable about their children and the ways they learn is false.']
|
On the condition that mangrove forests provide food, fuel, timber and medicines either directly or indirectly, it is definitely the case that red light passes through gas and dust more easily than blue light. Either one or both of these statements are true: either mifepristone blocks the action of progesterone, a hormone that helps some cancers grow or neurotransmitters carry nerve impulses through particular nerve pathways, or the notion that 'diseases can spread to chickens from pet birds and wild birds, so limit contact where possible' is untrue. The statement 'either mifepristone blocks the action of progesterone, a hormone that helps some cancers grow or neurotransmitters carry nerve impulses through particular nerve pathways' can be considered false. We know that either floors are located in libraries or if a generic drug is a drug, then if if mangrove forests provide food, fuel, timber and medicines either directly or indirectly, then red light passes through gas and dust more easily than blue light, then if it is not the case that if flood insurance is a problem in a number of communities, then mailboxs are located in streets, then diseases can spread to chickens from pet birds and wild birds, so limit contact where possible. The claim that floors are located in libraries is false. At least one of two things is true: parents are the individuals most knowledgeable about their children and the ways they learn, or a generic drug is a drug. We know that the claim that parents are the individuals most knowledgeable about their children and the ways they learn is false.
|
Should it be the case that flood insurance is a problem in a number of communities, it follows that mailboxs are located in streets.
|
It is a common misconception that if flood insurance is a problem in a number of communities, then mailboxs are located in streets.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If (If [5], then [6].), then (If (Not (If [0], then [1].).), then [2].). [SC1-2]
If [5], then [6].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Ponens:
If [7], then (If (If [5], then [6].), then (If (Not (If [0], then [1].).), then [2].).). [SC1-3]
[7] [SC2-3]
Therefore, If (If [5], then [6].), then (If (Not (If [0], then [1].).), then [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If [7], then (If (If [5], then [6].), then (If (Not (If [0], then [1].).), then [2].).).).
Not [9].
Therefore, If [7], then (If (If [5], then [6].), then (If (Not (If [0], then [1].).), then [2].).)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or [7].
Not [8].
Therefore, [7].
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Not [2].).
Not (Either [3] or [4].).
Therefore, Not [2]..
|
{0: 'Flood insurance is a problem in a number of communities.', 1: 'Mailboxs are located in streets.', 2: 'Diseases can spread to chickens from pet birds and wild birds, so limit contact where possible.', 3: 'Mifepristone blocks the action of progesterone, a hormone that helps some cancers grow.', 4: 'Neurotransmitters carry nerve impulses through particular nerve pathways.', 5: 'Mangrove forests provide food, fuel, timber and medicines either directly or indirectly.', 6: 'Red light passes through gas and dust more easily than blue light.', 7: 'A generic drug is a drug.', 8: 'Parents are the individuals most knowledgeable about their children and the ways they learn.', 9: 'Floors are located in libraries.'}
| 6 |
5,519 |
['It is rational to believe that either some bears hear people or if beetles are a favourite food and it also eats caterpillars and slugs, then benzodiazepines are psychotropic drugs.', 'The claim that cheetahs eat prey is true.', 'Those that suggest if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features are wrong.', 'Should it be the case that social contact is of prime importance for the well being of everyone including the mentally ill, it follows that either if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features or if cheetahs eat prey, then the claim that some bears hear people is false.', 'Either paralytics can walk, dance, fly, or do as they wish sexually whenever they choose or many people believe that the meaning of education is to send children to school.', "Provided that paralytics can walk, dance, fly, or do as they wish sexually whenever they choose, we know that warm water can signal a storm's strength since the heat provides feeds a storm's energy.", "Whenever it is true that many people believe that the meaning of education is to send children to school, 'social contact is of prime importance for the well being of everyone including the mentally ill' is true.", "When warm water can signal a storm's strength since the heat provides feeds a storm's energy is true, it follows that internet marketing is niche marketing.", 'On the condition that internet marketing is niche marketing, it is definitely the case that either if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features or if cheetahs eat prey, then the claim that some bears hear people is false.']
|
It is rational to believe that either some bears hear people or if beetles are a favourite food and it also eats caterpillars and slugs, then benzodiazepines are psychotropic drugs. The claim that cheetahs eat prey is true. Those that suggest if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features are wrong. Should it be the case that social contact is of prime importance for the well being of everyone including the mentally ill, it follows that either if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features or if cheetahs eat prey, then the claim that some bears hear people is false. Either paralytics can walk, dance, fly, or do as they wish sexually whenever they choose or many people believe that the meaning of education is to send children to school. Provided that paralytics can walk, dance, fly, or do as they wish sexually whenever they choose, we know that warm water can signal a storm's strength since the heat provides feeds a storm's energy. Whenever it is true that many people believe that the meaning of education is to send children to school, 'social contact is of prime importance for the well being of everyone including the mentally ill' is true. When warm water can signal a storm's strength since the heat provides feeds a storm's energy is true, it follows that internet marketing is niche marketing. On the condition that internet marketing is niche marketing, it is definitely the case that either if some jellyfish become pests, then ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features or if cheetahs eat prey, then the claim that some bears hear people is false.
|
Given that beetles are a favourite food and it also eats caterpillars and slugs, it can be inferred that benzodiazepines are psychotropic drugs.
|
Those that suggest if beetles are a favourite food and it also eats caterpillars and slugs, then benzodiazepines are psychotropic drugs are wrong.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].).
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Ponens:
If [3], then (Not [2].). [SC1-2]
[3]
Therefore, Not [2]..
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [3], then (Not [2].).). [SC1-3]
Not (If [4], then [5].).
Therefore, If [3], then (Not [2].)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (Either (If [4], then [5].) or (If [3], then (Not [2].).).). [SC2-4]
If [7], then (Either (If [4], then [5].) or (If [3], then (Not [2].).).).
Therefore, Either (If [4], then [5].) or (If [3], then (Not [2].).)..
[SC1-4]
Constructive Dilemma:
Either [9] or [10].
If [9], then [6].
If [10], then [7].
Therefore, Either [6] or [7]..
[SC2-4]
Hypothetical Syllogism:
If [6], then [8].
If [8], then (Either (If [4], then [5].) or (If [3], then (Not [2].).).).
Therefore, If [6], then (Either (If [4], then [5].) or (If [3], then (Not [2].).).)..
|
{0: 'Beetles are a favourite food and it also eats caterpillars and slugs.', 1: 'Benzodiazepines are psychotropic drugs.', 2: 'Some bears hear people.', 3: 'Cheetahs eat prey.', 4: 'Some jellyfish become pests.', 5: 'Ocean surfaces tend to reflect the least visible light, so they tend to be the darkest features.', 6: "Warm water can signal a storm's strength since the heat provides feeds a storm's energy.", 7: 'Social contact is of prime importance for the well being of everyone including the mentally ill.', 8: 'Internet marketing is niche marketing.', 9: 'Paralytics can walk, dance, fly, or do as they wish sexually whenever they choose.', 10: 'Many people believe that the meaning of education is to send children to school.'}
| 6 |
5,107 |
["So long as presciences are capacity, 'counsel has (part) legs' is true.", 'Given that counsel has (part) legs, it can be inferred that summer is the hot, humid, rainy season.', 'It is reasonable to believe that octopuses move about by crawling or swimming.', 'When octopuses move about by crawling or swimming is true, it follows that a headway is a position.', 'We know that either bandicoots are solitary animals except when mating or if a headway is a position, then those that suggest summer is the hot, humid, rainy season are wrong.', "Whenever it is true that bandicoots are solitary animals except when mating, 'if aquatic insects make up the majority of a fish's diet, then some dogs beg because they want attention' is true.", "When bandicoots are solitary animals except when mating is true, it follows that it is not the case that if aquatic insects make up the majority of a fish's diet, then some dogs beg because they want attention."]
|
So long as presciences are capacity, 'counsel has (part) legs' is true. Given that counsel has (part) legs, it can be inferred that summer is the hot, humid, rainy season. It is reasonable to believe that octopuses move about by crawling or swimming. When octopuses move about by crawling or swimming is true, it follows that a headway is a position. We know that either bandicoots are solitary animals except when mating or if a headway is a position, then those that suggest summer is the hot, humid, rainy season are wrong. Whenever it is true that bandicoots are solitary animals except when mating, 'if aquatic insects make up the majority of a fish's diet, then some dogs beg because they want attention' is true. When bandicoots are solitary animals except when mating is true, it follows that it is not the case that if aquatic insects make up the majority of a fish's diet, then some dogs beg because they want attention.
|
The notion that 'presciences are capacity' is untrue.
|
The notion that 'presciences are capacity' is untrue.
|
TRUE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3]
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (Not [2].). [SC2-4]
Therefore, If [3], then (Not [2].)..
[SC2-4]
Disjunctive Syllogism:
Either [5] or (If [4], then (Not [2].).).
Not [5]. [SC2-5]
Therefore, If [4], then (Not [2].)..
[SC2-5]
Reductio Ad Absurdum:
If [5], then (If [6], then [7].).
If [5], then (Not (If [6], then [7].).).
Therefore, Not [5]..
|
{0: 'Presciences are capacity.', 1: 'Counsel has (part) legs.', 2: 'Summer is the hot, humid, rainy season.', 3: 'Octopuses move about by crawling or swimming.', 4: 'A headway is a position.', 5: 'Bandicoots are solitary animals except when mating.', 6: "Aquatic insects make up the majority of a fish's diet.", 7: 'Some dogs beg because they want attention.'}
| 6 |
5,708 |
["The statement that 'a mucopolysaccharide is sugar' is incorrect.", 'One may reasonably assume that if problems are caused by dust storms, then musical intelligence is probably the first intelligence that one notices in a child.', 'There is good reason to believe that either hallucinations can occur in all sensory modalities, but visual hallucinations are most common or most trees provide moisture.', 'One may reasonably assume that if hallucinations can occur in all sensory modalities, but visual hallucinations are most common, then problems are caused by dust storms.', 'Once we know the statement, if musical intelligence is probably the first intelligence that one notices in a child, then either a mucopolysaccharide is sugar or paper mail is usually someone who wants some money, does not hold, we also know that molecular recognition is also important in the emerging field of supramolecular chemistry.', 'Provided that the statement, if musical intelligence is probably the first intelligence that one notices in a child, then either a mucopolysaccharide is sugar or paper mail is usually someone who wants some money, does not hold, we know that it is not true that molecular recognition is also important in the emerging field of supramolecular chemistry.', 'Once we know it is not the case that if most trees provide moisture, then problems are caused by dust storms, we also know that people can become psychologically dependent on any drug, including cannabis.', 'When it is not the case that if most trees provide moisture, then problems are caused by dust storms is true, it follows that the claim that people can become psychologically dependent on any drug, including cannabis does not reflect reality.']
|
The statement that 'a mucopolysaccharide is sugar' is incorrect. One may reasonably assume that if problems are caused by dust storms, then musical intelligence is probably the first intelligence that one notices in a child. There is good reason to believe that either hallucinations can occur in all sensory modalities, but visual hallucinations are most common or most trees provide moisture. One may reasonably assume that if hallucinations can occur in all sensory modalities, but visual hallucinations are most common, then problems are caused by dust storms. Once we know the statement, if musical intelligence is probably the first intelligence that one notices in a child, then either a mucopolysaccharide is sugar or paper mail is usually someone who wants some money, does not hold, we also know that molecular recognition is also important in the emerging field of supramolecular chemistry. Provided that the statement, if musical intelligence is probably the first intelligence that one notices in a child, then either a mucopolysaccharide is sugar or paper mail is usually someone who wants some money, does not hold, we know that it is not true that molecular recognition is also important in the emerging field of supramolecular chemistry. Once we know it is not the case that if most trees provide moisture, then problems are caused by dust storms, we also know that people can become psychologically dependent on any drug, including cannabis. When it is not the case that if most trees provide moisture, then problems are caused by dust storms is true, it follows that the claim that people can become psychologically dependent on any drug, including cannabis does not reflect reality.
|
paper mail is usually someone who wants some money.
|
Paper mail is usually someone who wants some money.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2] [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [3].
If [3], then (Either [1] or [0].). [SC2-3]
Therefore, If [2], then (Either [1] or [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [1] or [0].).).), then [7].
If (Not (If [3], then (Either [1] or [0].).).), then (Not [7].).
Therefore, If [3], then (Either [1] or [0].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then [2].
If [5], then [2]. [SC3-3]
Therefore, [2].
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then [2].).), then [6].
If (Not (If [5], then [2].).), then (Not [6].).
Therefore, If [5], then [2]..
|
{0: 'Paper mail is usually someone who wants some money.', 1: 'A mucopolysaccharide is sugar.', 2: 'Problems are caused by dust storms.', 3: 'Musical intelligence is probably the first intelligence that one notices in a child.', 4: 'Hallucinations can occur in all sensory modalities, but visual hallucinations are most common.', 5: 'Most trees provide moisture.', 6: 'People can become psychologically dependent on any drug, including cannabis.', 7: 'Molecular recognition is also important in the emerging field of supramolecular chemistry.'}
| 6 |
5,634 |
['We know that either women have little knowledge of family planning and often use abortion as a means of birth control or snout isa nose.', 'It is true that collective flow is thought to be a sign of the compression of nuclear matter.', 'When problems arise from injuries is true, it follows that robber flies are voracious predatory insects.', 'The claim that robber flies are voracious predatory insects has no merit.', "The statement 'snails use their chewing mout-parts to chew holes in foliage' can be considered false.", 'We know that either some women consider such forms of violence as a male prerogative or their own destiny or cooperative education is a unique kind of education.', "Whenever it is true that some women consider such forms of violence as a male prerogative or their own destiny, 'if the notion that 'if collective flow is thought to be a sign of the compression of nuclear matter, then if women have little knowledge of family planning and often use abortion as a means of birth control, then problems arise from injuries' is untrue, then snails use their chewing mout-parts to chew holes in foliage' is true.", "So long as cooperative education is a unique kind of education, 'if the notion that 'if collective flow is thought to be a sign of the compression of nuclear matter, then if women have little knowledge of family planning and often use abortion as a means of birth control, then problems arise from injuries' is untrue, then snails use their chewing mout-parts to chew holes in foliage' is true."]
|
We know that either women have little knowledge of family planning and often use abortion as a means of birth control or snout isa nose. It is true that collective flow is thought to be a sign of the compression of nuclear matter. When problems arise from injuries is true, it follows that robber flies are voracious predatory insects. The claim that robber flies are voracious predatory insects has no merit. The statement 'snails use their chewing mout-parts to chew holes in foliage' can be considered false. We know that either some women consider such forms of violence as a male prerogative or their own destiny or cooperative education is a unique kind of education. Whenever it is true that some women consider such forms of violence as a male prerogative or their own destiny, 'if the notion that 'if collective flow is thought to be a sign of the compression of nuclear matter, then if women have little knowledge of family planning and often use abortion as a means of birth control, then problems arise from injuries' is untrue, then snails use their chewing mout-parts to chew holes in foliage' is true. So long as cooperative education is a unique kind of education, 'if the notion that 'if collective flow is thought to be a sign of the compression of nuclear matter, then if women have little knowledge of family planning and often use abortion as a means of birth control, then problems arise from injuries' is untrue, then snails use their chewing mout-parts to chew holes in foliage' is true.
|
Many people rightly believe that snout isa nose.
|
The statement 'snout isa nose' can be considered false.
|
FALSE
|
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]
Modus Ponens:
If [3], then (If [1], then [2].). [SC1-3]
[3]
Therefore, If [1], then [2]..
[SC1-3]
Modus Tonens:
If (Not (If [3], then (If [1], then [2].).).), then [5]. [SC1-4]
Not [5].
Therefore, If [3], then (If [1], then [2].)..
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [3], then (If [1], then [2].).).), then [5].).
If [7], then (If (Not (If [3], then (If [1], then [2].).).), then [5].).
Therefore, If (Not (If [3], then (If [1], then [2].).).), then [5]..
[SC2-2]
Modus Tonens:
If [2], then [4].
Not [4].
Therefore, Not [2]..
|
{0: 'Snout isa nose.', 1: 'Women have little knowledge of family planning and often use abortion as a means of birth control.', 2: 'Problems arise from injuries.', 3: 'Collective flow is thought to be a sign of the compression of nuclear matter.', 4: 'Robber flies are voracious predatory insects.', 5: 'Snails use their chewing mout-parts to chew holes in foliage.', 6: 'Some women consider such forms of violence as a male prerogative or their own destiny.', 7: 'Cooperative education is a unique kind of education.'}
| 6 |
5,223 |
['One may reasonably assume that if we know that the claim that either head lice can affect anyone, rich or poor, young or old, male or female or ideas to test hypotheses is false, then some sperm is part of argentines.', 'One may reasonably assume that if we know that the claim that either head lice can affect anyone, rich or poor, young or old, male or female or ideas to test hypotheses is false, then it is not true that some sperm is part of argentines.', 'On the condition that commotion is disorder, it is definitely the case that if head lice can affect anyone, rich or poor, young or old, male or female, then if tobacco is poisonous when eaten, then clubs hold business meetings.', "Whenever it is true that cleats are normally rubber,plastic.aluminum or leather, 'if head lice can affect anyone, rich or poor, young or old, male or female, then if tobacco is poisonous when eaten, then clubs hold business meetings' is true.", "Should it be the case that wild cockatiels fly to the ground to forage for food, it follows that if head lice can affect anyone, rich or poor, young or old, male or female, then the statement that 'if tobacco is poisonous when eaten, then clubs hold business meetings' is incorrect.", 'The claim that wild cockatiels fly to the ground to forage for food is true.', 'On the condition that spiders are animals, it is definitely the case that either commotion is disorder or cleats are normally rubber,plastic.aluminum or leather.', 'It is a simple truth that spiders are animals.']
|
One may reasonably assume that if we know that the claim that either head lice can affect anyone, rich or poor, young or old, male or female or ideas to test hypotheses is false, then some sperm is part of argentines. One may reasonably assume that if we know that the claim that either head lice can affect anyone, rich or poor, young or old, male or female or ideas to test hypotheses is false, then it is not true that some sperm is part of argentines. On the condition that commotion is disorder, it is definitely the case that if head lice can affect anyone, rich or poor, young or old, male or female, then if tobacco is poisonous when eaten, then clubs hold business meetings. Whenever it is true that cleats are normally rubber,plastic.aluminum or leather, 'if head lice can affect anyone, rich or poor, young or old, male or female, then if tobacco is poisonous when eaten, then clubs hold business meetings' is true. Should it be the case that wild cockatiels fly to the ground to forage for food, it follows that if head lice can affect anyone, rich or poor, young or old, male or female, then the statement that 'if tobacco is poisonous when eaten, then clubs hold business meetings' is incorrect. The claim that wild cockatiels fly to the ground to forage for food is true. On the condition that spiders are animals, it is definitely the case that either commotion is disorder or cleats are normally rubber,plastic.aluminum or leather. It is a simple truth that spiders are animals.
|
The statement 'ideas to test hypotheses' can be considered true.
|
The claim that ideas to test hypotheses does not reflect reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [4].
If (Not (Either [1] or [0].).), then (Not [4].).
Therefore, Either [1] or [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (If [2], then [3].). [SC1-2]
If [1], then (Not (If [2], then [3].).). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (If [1], then (If [2], then [3].).).
If [7], then (If [1], then (If [2], then [3].).).
Therefore, If [1], then (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If [8], then (Either [6] or [7].).
[8]
Therefore, Either [6] or [7]..
[SC2-2]
Modus Ponens:
If [5], then (If [1], then (Not (If [2], then [3].).).).
[5]
Therefore, If [1], then (Not (If [2], then [3].).)..
|
{0: 'Ideas to test hypotheses.', 1: 'Head lice can affect anyone, rich or poor, young or old, male or female.', 2: 'Tobacco is poisonous when eaten.', 3: 'Clubs hold business meetings.', 4: 'Some sperm is part of argentines.', 5: 'Wild cockatiels fly to the ground to forage for food.', 6: 'Commotion is disorder.', 7: 'Cleats are normally rubber,plastic.aluminum or leather.', 8: 'Spiders are animals.'}
| 6 |
5,327 |
['It is true that hunger is a serious issue, especially in America.', "Should it be the case that the statement 'if hunger is a serious issue, especially in America, then some people oppose eugenics and genetic counselling for religious reasons' can be considered false, it follows that it is a common misconception that eCF pulp refers to pulp bleached without chlorine gas.", "When we know that the claim that if the statement 'if hunger is a serious issue, especially in America, then some people oppose eugenics and genetic counselling for religious reasons' can be considered false, then eCF pulp refers to pulp bleached without chlorine gas is false is true, it follows that either most bay leaves have shelf life or philosophy is related to one's true self and the artist's own audience.", "There is good reason to believe that either wasps are located in nests or either wolverines have (part) breasts or the claim that either most bay leaves have shelf life or philosophy is related to one's true self and the artist's own audience does not correspond with reality.", 'It is not true that wasps are located in nests.', "Either either milk offers health benefits or welders wear special helmets with a lens that lets less light through or the statement that 'wolverines have (part) breasts' is incorrect.", 'It is not the case that either milk offers health benefits or welders wear special helmets with a lens that lets less light through .']
|
It is true that hunger is a serious issue, especially in America. Should it be the case that the statement 'if hunger is a serious issue, especially in America, then some people oppose eugenics and genetic counselling for religious reasons' can be considered false, it follows that it is a common misconception that eCF pulp refers to pulp bleached without chlorine gas. When we know that the claim that if the statement 'if hunger is a serious issue, especially in America, then some people oppose eugenics and genetic counselling for religious reasons' can be considered false, then eCF pulp refers to pulp bleached without chlorine gas is false is true, it follows that either most bay leaves have shelf life or philosophy is related to one's true self and the artist's own audience. There is good reason to believe that either wasps are located in nests or either wolverines have (part) breasts or the claim that either most bay leaves have shelf life or philosophy is related to one's true self and the artist's own audience does not correspond with reality. It is not true that wasps are located in nests. Either either milk offers health benefits or welders wear special helmets with a lens that lets less light through or the statement that 'wolverines have (part) breasts' is incorrect. It is not the case that either milk offers health benefits or welders wear special helmets with a lens that lets less light through .
|
The idea that some people oppose eugenics and genetic counselling for religious reasons is true.
|
Most people think in terms of black and white.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].).
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then [2].).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not (Either [3] or [4].).). [SC1-4]
Not [5]. [SC2-4]
Therefore, Not (Either [3] or [4].)..
[SC1-4]
Disjunctive Syllogism:
Either [6] or (Either [5] or (Not (Either [3] or [4].).).).
Not [6].
Therefore, Either [5] or (Not (Either [3] or [4].).)..
[SC2-4]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Not [5].).
Not (Either [7] or [8].).
Therefore, Not [5]..
|
{0: 'Some people oppose eugenics and genetic counselling for religious reasons.', 1: 'Hunger is a serious issue, especially in America.', 2: 'ECF pulp refers to pulp bleached without chlorine gas.', 3: 'Most bay leaves have shelf life.', 4: "Philosophy is related to one's true self and the artist's own audience.", 5: 'Wolverines have (part) breasts.', 6: 'Wasps are located in nests.', 7: 'Milk offers health benefits.', 8: 'Welders wear special helmets with a lens that lets less light through .'}
| 6 |
5,102 |
['Given that many pet stores buy puppies from puppy mills, where puppies are abused and exploited, it can be inferred that if lemmings eat willows and herbaceous plants , then calcium helps make strong bones.', 'Once we know the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, we also know that it is a common misconception that if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets.', 'If some people mistakenly believe that if kites can fly because of forces acting on the parts of the kite, then if the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, then if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets, then orchids produce millions of dust-like seeds that can be blown long distances.', 'Either animals are capable of complex and rapid movements and they develop from embryos like plants or cassowaries are capable of breeding when they are three years old.', 'Assuming animals are capable of complex and rapid movements and they develop from embryos like plants, we know that kites can fly because of forces acting on the parts of the kite.', 'Provided that cassowaries are capable of breeding when they are three years old, we know that kites can fly because of forces acting on the parts of the kite.', "Assuming the notion that 'if some people mistakenly believe that if kites can fly because of forces acting on the parts of the kite, then if the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, then if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets, then the statement that states orchids produce millions of dust-like seeds that can be blown long distances is false' is untrue, we know that some people are skinnier than others.", 'The statement that states some people are skinnier than others is false.']
|
Given that many pet stores buy puppies from puppy mills, where puppies are abused and exploited, it can be inferred that if lemmings eat willows and herbaceous plants , then calcium helps make strong bones. Once we know the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, we also know that it is a common misconception that if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets. If some people mistakenly believe that if kites can fly because of forces acting on the parts of the kite, then if the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, then if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets, then orchids produce millions of dust-like seeds that can be blown long distances. Either animals are capable of complex and rapid movements and they develop from embryos like plants or cassowaries are capable of breeding when they are three years old. Assuming animals are capable of complex and rapid movements and they develop from embryos like plants, we know that kites can fly because of forces acting on the parts of the kite. Provided that cassowaries are capable of breeding when they are three years old, we know that kites can fly because of forces acting on the parts of the kite. Assuming the notion that 'if some people mistakenly believe that if kites can fly because of forces acting on the parts of the kite, then if the claim that if if lemmings eat willows and herbaceous plants , then calcium helps make strong bones, then textbooks have (part) sections has no merit, then if most vapors are heavier than air and collect near the floor, then cottontails are coprophagic, meaning they eat thier own waste or pellets, then the statement that states orchids produce millions of dust-like seeds that can be blown long distances is false' is untrue, we know that some people are skinnier than others. The statement that states some people are skinnier than others is false.
|
Whenever it is true that many pet stores buy puppies from puppy mills, where puppies are abused and exploited, 'textbooks have (part) sections' is true.
|
Whenever it is true that many pet stores buy puppies from puppy mills, where puppies are abused and exploited, 'textbooks have (part) sections' is true.
|
TRUE
|
Hypothetical Syllogism:
If [0], then (If [2], then [3].).
If (If [2], then [3].), then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].). [SC1-2]
If (Not (If (If [2], then [3].), then [1].).), then (Not (If [4], then [5].).).
Therefore, If (If [2], then [3].), then [1]..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).). [SC1-3]
[6] [SC2-3]
Therefore, If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).).).), then [7].
If (Not (If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).).).), then (Not [7].). [SC2-4]
Therefore, If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).)..
[SC2-4]
Modus Tonens:
If (Not (If (Not (If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).).).), then (Not [7].).).), then [10].
Not [10].
Therefore, If (Not (If [6], then (If (Not (If (If [2], then [3].), then [1].).), then (If [4], then [5].).).).), then (Not [7].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then [6].
If [9], then [6].
Therefore, [6].
|
{0: 'Many pet stores buy puppies from puppy mills, where puppies are abused and exploited.', 1: 'Textbooks have (part) sections.', 2: 'Lemmings eat willows and herbaceous plants .', 3: 'Calcium helps make strong bones.', 4: 'Most vapors are heavier than air and collect near the floor.', 5: 'Cottontails are coprophagic, meaning they eat thier own waste or pellets.', 6: 'Kites can fly because of forces acting on the parts of the kite.', 7: 'Orchids produce millions of dust-like seeds that can be blown long distances.', 8: 'Animals are capable of complex and rapid movements and they develop from embryos like plants.', 9: 'Cassowaries are capable of breeding when they are three years old.', 10: 'Some people are skinnier than others.'}
| 6 |
5,704 |
['One may reasonably assume that if bulldogs can have some genetic health difficulties, as can any pure bred dog, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories.', 'It is a fact that either either most plant toxins cause problems or parakeets can form lifelong pair bonds with a mate or either squirrels feed on fruit or african dust contains spores of a fungus that can be destructive to sea fans.', 'One may reasonably assume that if either most plant toxins cause problems or parakeets can form lifelong pair bonds with a mate, then either bulldogs can have some genetic health difficulties, as can any pure bred dog or carriage bolts are bolts.', 'It is rational to believe that either either catalogues are ubiquitous in astronomy or some carnivorous animals inhabit oceans or ossification begins in the body, about the eighth week of fetal life.', 'If copper sulfate creates a blue flame and who knows what evil that produces, then if either squirrels feed on fruit or african dust contains spores of a fungus that can be destructive to sea fans, then either bulldogs can have some genetic health difficulties, as can any pure bred dog or carriage bolts are bolts.', 'It is reasonable to believe that copper sulfate creates a blue flame and who knows what evil that produces.', 'If those that suggest if either catalogues are ubiquitous in astronomy or some carnivorous animals inhabit oceans, then if carriage bolts are bolts, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories are wrong, then either skinheads are bullies or stockholders are stakeholders of an investor-owned healthcare provider.', 'The statement, either skinheads are bullies or stockholders are stakeholders of an investor-owned healthcare provider, does not hold.', 'On the condition that ossification begins in the body, about the eighth week of fetal life, it is definitely the case that if limestone is the second most used building stone, then most aquatic turtles possess sacs.', "Whenever it is true that if limestone is the second most used building stone, then most aquatic turtles possess sacs, 'if carriage bolts are bolts, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories' is true."]
|
One may reasonably assume that if bulldogs can have some genetic health difficulties, as can any pure bred dog, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories. It is a fact that either either most plant toxins cause problems or parakeets can form lifelong pair bonds with a mate or either squirrels feed on fruit or african dust contains spores of a fungus that can be destructive to sea fans. One may reasonably assume that if either most plant toxins cause problems or parakeets can form lifelong pair bonds with a mate, then either bulldogs can have some genetic health difficulties, as can any pure bred dog or carriage bolts are bolts. It is rational to believe that either either catalogues are ubiquitous in astronomy or some carnivorous animals inhabit oceans or ossification begins in the body, about the eighth week of fetal life. If copper sulfate creates a blue flame and who knows what evil that produces, then if either squirrels feed on fruit or african dust contains spores of a fungus that can be destructive to sea fans, then either bulldogs can have some genetic health difficulties, as can any pure bred dog or carriage bolts are bolts. It is reasonable to believe that copper sulfate creates a blue flame and who knows what evil that produces. If those that suggest if either catalogues are ubiquitous in astronomy or some carnivorous animals inhabit oceans, then if carriage bolts are bolts, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories are wrong, then either skinheads are bullies or stockholders are stakeholders of an investor-owned healthcare provider. The statement, either skinheads are bullies or stockholders are stakeholders of an investor-owned healthcare provider, does not hold. On the condition that ossification begins in the body, about the eighth week of fetal life, it is definitely the case that if limestone is the second most used building stone, then most aquatic turtles possess sacs. Whenever it is true that if limestone is the second most used building stone, then most aquatic turtles possess sacs, 'if carriage bolts are bolts, then either protein also helps maintain the proper acid alkali balance or many countries today have shorter histories' is true.
|
Either one or both of these statements are true: protein also helps maintain the proper acid alkali balance, or many countries today have shorter histories.
|
At least one of two things is true: proteins are the action superheroes of the body, or countries today compete to attract and retain industry, jobs, and plants.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].).
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either (Either [4] or [5].) or (Either [6] or [7].).
If (Either [4] or [5].), then (Either [2] or [3].).
If (Either [6] or [7].), then (Either [2] or [3].). [SC3-2]
Therefore, Either [2] or [3]..
[SC3-2]
Modus Ponens:
If [11], then (If (Either [6] or [7].), then (Either [2] or [3].).).
[11]
Therefore, If (Either [6] or [7].), then (Either [2] or [3].)..
[SC3-1]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If [3], then (Either [0] or [1].).). [SC2-2]
If [10], then (If [3], then (Either [0] or [1].).). [SC3-2]
Therefore, If [3], then (Either [0] or [1].)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [8] or [9].), then (If [3], then (Either [0] or [1].).).).), then (Either [12] or [13].).
Not (Either [12] or [13].).
Therefore, If (Either [8] or [9].), then (If [3], then (Either [0] or [1].).)..
[SC3-2]
Hypothetical Syllogism:
If [10], then (If [14], then [15].).
If (If [14], then [15].), then (If [3], then (Either [0] or [1].).).
Therefore, If [10], then (If [3], then (Either [0] or [1].).)..
|
{0: 'Protein also helps maintain the proper acid alkali balance.', 1: 'Many countries today have shorter histories.', 2: 'Bulldogs can have some genetic health difficulties, as can any pure bred dog.', 3: 'Carriage bolts are bolts.', 4: 'Most plant toxins cause problems.', 5: 'Parakeets can form lifelong pair bonds with a mate.', 6: 'Squirrels feed on fruit.', 7: 'African dust contains spores of a fungus that can be destructive to sea fans.', 8: 'Catalogues are ubiquitous in astronomy.', 9: 'Some carnivorous animals inhabit oceans.', 10: 'Ossification begins in the body, about the eighth week of fetal life.', 11: 'Copper sulfate creates a blue flame and who knows what evil that produces.', 12: 'Skinheads are bullies.', 13: 'Stockholders are stakeholders of an investor-owned healthcare provider.', 14: 'Limestone is the second most used building stone.', 15: 'Most aquatic turtles possess sacs.'}
| 6 |
5,475 |
['When tomatos are fruit is true, it follows that paleontology is the most widely used method of learning about dinosaurs.', 'Given that the claim that tomatos are fruit does not correspond with reality, it can be inferred that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land.', 'If those that suggest if the claim that tomatos are fruit does not correspond with reality, then it is a common misconception that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land are wrong, then it is not the case that cohesion is a connection.', "When the statement 'either gold macaws have beaks or if those that suggest if the claim that tomatos are fruit does not correspond with reality, then it is a common misconception that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land are wrong, then cohesion is a connection' can be considered false is true, it follows that latent heat is released as the inner core material crystallizes.", 'It is not the case that latent heat is released as the inner core material crystallizes.', 'Either infrared rays have the ability to penetrate deep within an object or most people use echinacea for warding off colds and influenza.', 'Assuming infrared rays have the ability to penetrate deep within an object, we know that those that suggest gold macaws have beaks are wrong.', 'If most people use echinacea for warding off colds and influenza, then those that suggest gold macaws have beaks are wrong.']
|
When tomatos are fruit is true, it follows that paleontology is the most widely used method of learning about dinosaurs. Given that the claim that tomatos are fruit does not correspond with reality, it can be inferred that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land. If those that suggest if the claim that tomatos are fruit does not correspond with reality, then it is a common misconception that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land are wrong, then it is not the case that cohesion is a connection. When the statement 'either gold macaws have beaks or if those that suggest if the claim that tomatos are fruit does not correspond with reality, then it is a common misconception that sheet erosion is defined as the uniform removal of soil in thin layers from sloping land are wrong, then cohesion is a connection' can be considered false is true, it follows that latent heat is released as the inner core material crystallizes. It is not the case that latent heat is released as the inner core material crystallizes. Either infrared rays have the ability to penetrate deep within an object or most people use echinacea for warding off colds and influenza. Assuming infrared rays have the ability to penetrate deep within an object, we know that those that suggest gold macaws have beaks are wrong. If most people use echinacea for warding off colds and influenza, then those that suggest gold macaws have beaks are wrong.
|
The statement 'paleontology is the most widely used method of learning about dinosaurs' is true.
|
Paleontology is the science which treats fossils as evidence of ancient life.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then (Not [2].).).), then [3]. [SC1-3]
If (Not (If (Not [1].), then (Not [2].).).), then (Not [3].).
Therefore, If (Not [1].), then (Not [2].)..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not [1].), then (Not [2].).).), then [3].). [SC1-4]
Not [4]. [SC2-4]
Therefore, If (Not (If (Not [1].), then (Not [2].).).), then [3]..
[SC1-4]
Modus Tonens:
If (Not (Either [4] or (If (Not (If (Not [1].), then (Not [2].).).), then [3].).).), then [5].
Not [5].
Therefore, Either [4] or (If (Not (If (Not [1].), then (Not [2].).).), then [3].)..
[SC2-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [4].).
If [7], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Paleontology is the most widely used method of learning about dinosaurs.', 1: 'Tomatos are fruit.', 2: 'Sheet erosion is defined as the uniform removal of soil in thin layers from sloping land.', 3: 'Cohesion is a connection.', 4: 'Gold macaws have beaks.', 5: 'Latent heat is released as the inner core material crystallizes.', 6: 'Infrared rays have the ability to penetrate deep within an object.', 7: 'Most people use echinacea for warding off colds and influenza.'}
| 6 |
5,213 |
['Provided that most wade birds have legs, we know that either actuators are buttons, dials, sliders, or other mouse-driven symbols or either active transport involves mineral-specific membrane transport proteins or beetles live everywhere.', 'It is rational to believe that either alligators make pitch sound or squirrel monkeys have habitat preference.', "Whenever it is true that alligators make pitch sound, 'the statement that states actuators are buttons, dials, sliders, or other mouse-driven symbols is false' is true.", 'Once we know the claim that most wade birds have legs is false, we also know that glaciers glide past, carving out foothills and river basins.', 'Once we know love is also a fruit of The Holy Spirit, we also know that if squirrel monkeys have habitat preference, then the statement that states actuators are buttons, dials, sliders, or other mouse-driven symbols is false.', 'The statement that states love is also a fruit of The Holy Spirit is right.', "So long as glaciers glide past, carving out foothills and river basins, 'spite isa emotion' is true.", 'Given that glaciers glide past, carving out foothills and river basins, it can be inferred that the claim that spite isa emotion does not reflect reality.']
|
Provided that most wade birds have legs, we know that either actuators are buttons, dials, sliders, or other mouse-driven symbols or either active transport involves mineral-specific membrane transport proteins or beetles live everywhere. It is rational to believe that either alligators make pitch sound or squirrel monkeys have habitat preference. Whenever it is true that alligators make pitch sound, 'the statement that states actuators are buttons, dials, sliders, or other mouse-driven symbols is false' is true. Once we know the claim that most wade birds have legs is false, we also know that glaciers glide past, carving out foothills and river basins. Once we know love is also a fruit of The Holy Spirit, we also know that if squirrel monkeys have habitat preference, then the statement that states actuators are buttons, dials, sliders, or other mouse-driven symbols is false. The statement that states love is also a fruit of The Holy Spirit is right. So long as glaciers glide past, carving out foothills and river basins, 'spite isa emotion' is true. Given that glaciers glide past, carving out foothills and river basins, it can be inferred that the claim that spite isa emotion does not reflect reality.
|
Either one or both of these statements are true: active transport involves mineral-specific membrane transport proteins, or beetles live everywhere.
|
Either one or both of these statements are true: active transport involves mineral-specific membrane transport proteins, or beetles live everywhere.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [5], then (Either [2] or (Either [0] or [1].).).
[5] [SC2-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC2-2]
Modus Tonens:
If (Not [5].), then [7].
Not [7]. [SC2-3]
Therefore, [5].
[SC2-3]
Reductio Ad Absurdum:
If [7], then [8].
If [7], then (Not [8].).
Therefore, Not [7]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC3-2]
Modus Ponens:
If [6], then (If [4], then (Not [2].).).
[6]
Therefore, If [4], then (Not [2].)..
|
{0: 'Active transport involves mineral-specific membrane transport proteins.', 1: 'Beetles live everywhere.', 2: 'Actuators are buttons, dials, sliders, or other mouse-driven symbols.', 3: 'Alligators make pitch sound.', 4: 'Squirrel monkeys have habitat preference.', 5: 'Most wade birds have legs.', 6: 'Love is also a fruit of The Holy Spirit.', 7: 'Glaciers glide past, carving out foothills and river basins.', 8: 'Spite isa emotion.'}
| 6 |
5,135 |
['It is rational to believe that either medical schools are notorious for forcing interns to go without sleep or it is not the case that aCE inhibitors are critical in the treatment of heart failure when systolic dysfunction is present.', 'The claim that most microbes produce materials does not reflect reality.', 'Provided that the statement, if medical schools are notorious for forcing interns to go without sleep, then most microbes produce materials, does not hold, we know that it is a common misconception that hunger is present in low-income locations within the States.', 'On the condition that rubber based inks take a longer time to dry, it is definitely the case that if the statement, if medical schools are notorious for forcing interns to go without sleep, then most microbes produce materials, does not hold, then hunger is present in low-income locations within the States.', 'Once we know the statement, rubber based inks take a longer time to dry, does not hold, we also know that every steam engine has a boiler.', 'One may reasonably assume that if the claim that if the statement, rubber based inks take a longer time to dry, does not hold, then the claim that every steam engine has a boiler does not reflect reality does not correspond with reality, then hyperextension is continuation of extension beyond the anatomical position.', 'Some people mistakenly believe that hyperextension is continuation of extension beyond the anatomical position.']
|
It is rational to believe that either medical schools are notorious for forcing interns to go without sleep or it is not the case that aCE inhibitors are critical in the treatment of heart failure when systolic dysfunction is present. The claim that most microbes produce materials does not reflect reality. Provided that the statement, if medical schools are notorious for forcing interns to go without sleep, then most microbes produce materials, does not hold, we know that it is a common misconception that hunger is present in low-income locations within the States. On the condition that rubber based inks take a longer time to dry, it is definitely the case that if the statement, if medical schools are notorious for forcing interns to go without sleep, then most microbes produce materials, does not hold, then hunger is present in low-income locations within the States. Once we know the statement, rubber based inks take a longer time to dry, does not hold, we also know that every steam engine has a boiler. One may reasonably assume that if the claim that if the statement, rubber based inks take a longer time to dry, does not hold, then the claim that every steam engine has a boiler does not reflect reality does not correspond with reality, then hyperextension is continuation of extension beyond the anatomical position. Some people mistakenly believe that hyperextension is continuation of extension beyond the anatomical position.
|
It is not the case that aCE inhibitors are critical in the treatment of heart failure when systolic dysfunction is present.
|
It is not the case that aCE inhibitors are critical in the treatment of heart failure when systolic dysfunction is present.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [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 [3]. [SC1-3]
If (Not (If [1], then [2].).), then (Not [3].).
Therefore, If [1], then [2]..
[SC1-3]
Modus Ponens:
If [4], then (If (Not (If [1], then [2].).), then [3].).
[4] [SC2-4]
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-4]
Reductio Ad Absurdum:
If (Not [4].), then [5].
If (Not [4].), then (Not [5].). [SC2-5]
Therefore, [4].
[SC2-5]
Modus Tonens:
If (Not (If (Not [4].), then (Not [5].).).), then [6].
Not [6].
Therefore, If (Not [4].), then (Not [5].)..
|
{0: 'ACE inhibitors are critical in the treatment of heart failure when systolic dysfunction is present.', 1: 'Medical schools are notorious for forcing interns to go without sleep.', 2: 'Most microbes produce materials.', 3: 'Hunger is present in low-income locations within the States.', 4: 'Rubber based inks take a longer time to dry.', 5: 'Every steam engine has a boiler.', 6: 'Hyperextension is continuation of extension beyond the anatomical position.'}
| 6 |
5,246 |
['Assuming earth radiates into space, we know that if cooks end with eats, then many countries levy import fees on goods purchased from beyond their borders.', "There is good reason to believe that either gerbils find food or some Italian scientists say they've found conclusive proof that life on earth originated in space.", 'Once we know gerbils find food, we also know that if many countries levy import fees on goods purchased from beyond their borders, then segments are parts.', "Whenever it is true that it is not true that earth radiates into space, 'methanol is wood alcohol that has killed or blinded thousands of skid row drunks' is true.", "At least one of two things is true: if arrays can be N-dimensional and they can be integer, real or complex valued, then aquatic salamanders retain gills as adults instead of developing lungs, or if some Italian scientists say they've found conclusive proof that life on earth originated in space, then if many countries levy import fees on goods purchased from beyond their borders, then segments are parts.", 'The claim that if arrays can be N-dimensional and they can be integer, real or complex valued, then aquatic salamanders retain gills as adults instead of developing lungs is false.', "Given that the statement that 'if it is not true that earth radiates into space, then the statement, methanol is wood alcohol that has killed or blinded thousands of skid row drunks, does not hold' is incorrect, it can be inferred that essential oils resonate at the highest frequency of any natural substance.", "When the statement that 'if it is not true that earth radiates into space, then the statement, methanol is wood alcohol that has killed or blinded thousands of skid row drunks, does not hold' is incorrect is true, it follows that those that suggest essential oils resonate at the highest frequency of any natural substance are wrong."]
|
Assuming earth radiates into space, we know that if cooks end with eats, then many countries levy import fees on goods purchased from beyond their borders. There is good reason to believe that either gerbils find food or some Italian scientists say they've found conclusive proof that life on earth originated in space. Once we know gerbils find food, we also know that if many countries levy import fees on goods purchased from beyond their borders, then segments are parts. Whenever it is true that it is not true that earth radiates into space, 'methanol is wood alcohol that has killed or blinded thousands of skid row drunks' is true. At least one of two things is true: if arrays can be N-dimensional and they can be integer, real or complex valued, then aquatic salamanders retain gills as adults instead of developing lungs, or if some Italian scientists say they've found conclusive proof that life on earth originated in space, then if many countries levy import fees on goods purchased from beyond their borders, then segments are parts. The claim that if arrays can be N-dimensional and they can be integer, real or complex valued, then aquatic salamanders retain gills as adults instead of developing lungs is false. Given that the statement that 'if it is not true that earth radiates into space, then the statement, methanol is wood alcohol that has killed or blinded thousands of skid row drunks, does not hold' is incorrect, it can be inferred that essential oils resonate at the highest frequency of any natural substance. When the statement that 'if it is not true that earth radiates into space, then the statement, methanol is wood alcohol that has killed or blinded thousands of skid row drunks, does not hold' is incorrect is true, it follows that those that suggest essential oils resonate at the highest frequency of any natural substance are wrong.
|
One may reasonably assume that if cooks end with eats, then segments are parts.
|
The statement, if cooks end with eats, then segments are parts, does not hold.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (If [0], then [2].).
[3] [SC2-2]
Therefore, If [0], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [8].
If (Not [3].), then (Not [8].). [SC2-3]
Therefore, [3].
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then (Not [8].).).), then [9].
If (Not (If (Not [3].), then (Not [8].).).), then (Not [9].).
Therefore, If (Not [3].), then (Not [8].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [1].).
If [5], then (If [2], then [1].). [SC3-2]
Therefore, If [2], then [1]..
[SC3-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If [5], then (If [2], then [1].).).
Not (If [6], then [7].).
Therefore, If [5], then (If [2], then [1].)..
|
{0: 'Cooks end with eats.', 1: 'Segments are parts.', 2: 'Many countries levy import fees on goods purchased from beyond their borders.', 3: 'Earth radiates into space.', 4: 'Gerbils find food.', 5: "Some Italian scientists say they've found conclusive proof that life on earth originated in space.", 6: 'Arrays can be N-dimensional and they can be integer, real or complex valued.', 7: 'Aquatic salamanders retain gills as adults instead of developing lungs.', 8: 'Methanol is wood alcohol that has killed or blinded thousands of skid row drunks.', 9: 'Essential oils resonate at the highest frequency of any natural substance.'}
| 6 |
5,970 |
['Once we know males often kill the babies of rivals to increase the availability of females to mate again, we also know that some cats look like servals.', 'The claim that speakers have (part) arms does not reflect reality.', "So long as some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then males often kill the babies of rivals to increase the availability of females to mate again, 'crocodiles attack prey' is true.", "Whenever it is true that some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then males often kill the babies of rivals to increase the availability of females to mate again, 'it is not true that crocodiles attack prey' is true.", 'We can assume that perennial forages are effective for maintaining or increasing soil organic matter.', 'We know that either cocaine is the second most abused drug or monkeys are located in television ads.', "Provided that cocaine is the second most abused drug, we know that if perennial forages are effective for maintaining or increasing soil organic matter, then if some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then the notion that 'some cats look like servals' is untrue, then speakers have (part) arms.", "If monkeys are located in television ads, then if perennial forages are effective for maintaining or increasing soil organic matter, then if some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then the notion that 'some cats look like servals' is untrue, then speakers have (part) arms."]
|
Once we know males often kill the babies of rivals to increase the availability of females to mate again, we also know that some cats look like servals. The claim that speakers have (part) arms does not reflect reality. So long as some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then males often kill the babies of rivals to increase the availability of females to mate again, 'crocodiles attack prey' is true. Whenever it is true that some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then males often kill the babies of rivals to increase the availability of females to mate again, 'it is not true that crocodiles attack prey' is true. We can assume that perennial forages are effective for maintaining or increasing soil organic matter. We know that either cocaine is the second most abused drug or monkeys are located in television ads. Provided that cocaine is the second most abused drug, we know that if perennial forages are effective for maintaining or increasing soil organic matter, then if some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then the notion that 'some cats look like servals' is untrue, then speakers have (part) arms. If monkeys are located in television ads, then if perennial forages are effective for maintaining or increasing soil organic matter, then if some people mistakenly believe that if it is not the case that clay soils are thick with small particles and tiny air spaces, then the notion that 'some cats look like servals' is untrue, then speakers have (part) arms.
|
clay soils are thick with small particles and tiny air spaces.
|
Clay soils are often very compact with little aeration.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [3].).), then [5].
If (Not (If (Not [0].), then [3].).), then (Not [5].).
Therefore, If (Not [0].), then [3]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].). [SC1-3]
[4]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).
If [7], then (If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).
Therefore, If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].)..
|
{0: 'Clay soils are thick with small particles and tiny air spaces.', 1: 'Some cats look like servals.', 2: 'Speakers have (part) arms.', 3: 'Males often kill the babies of rivals to increase the availability of females to mate again.', 4: 'Perennial forages are effective for maintaining or increasing soil organic matter.', 5: 'Crocodiles attack prey.', 6: 'Cocaine is the second most abused drug.', 7: 'Monkeys are located in television ads.'}
| 6 |
5,891 |
['It is rational to believe that either if all isotopes of astatine are radioactive, then seawater is salt or men are somewhat more likely to want another child than women are.', 'If if all isotopes of astatine are radioactive, then seawater is salt, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes.', 'Either a roofer is an artisan or bees produce queens.', "Whenever it is true that a roofer is an artisan, 'if men are somewhat more likely to want another child than women are, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes' is true.", 'When the claim that either most nuts grow into trees or if bees produce queens, then if men are somewhat more likely to want another child than women are, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes is false is true, it follows that propylene glycol is used to extract flavor from natural flavoring materials.', 'It is a fact that either sound sleep improves learning, memory and performance or religion imbues each passing day with a sense of holiness.', "Should it be the case that sound sleep improves learning, memory and performance, it follows that the statement 'most nuts grow into trees' can be considered false.", "Should it be the case that religion imbues each passing day with a sense of holiness, it follows that the statement 'most nuts grow into trees' can be considered false.", 'Given that propylene glycol is used to extract flavor from natural flavoring materials, it can be inferred that smoking is known to aggravate the effects of exposure.', 'Once we know propylene glycol is used to extract flavor from natural flavoring materials, we also know that the claim that smoking is known to aggravate the effects of exposure is false.']
|
It is rational to believe that either if all isotopes of astatine are radioactive, then seawater is salt or men are somewhat more likely to want another child than women are. If if all isotopes of astatine are radioactive, then seawater is salt, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes. Either a roofer is an artisan or bees produce queens. Whenever it is true that a roofer is an artisan, 'if men are somewhat more likely to want another child than women are, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes' is true. When the claim that either most nuts grow into trees or if bees produce queens, then if men are somewhat more likely to want another child than women are, then it is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes is false is true, it follows that propylene glycol is used to extract flavor from natural flavoring materials. It is a fact that either sound sleep improves learning, memory and performance or religion imbues each passing day with a sense of holiness. Should it be the case that sound sleep improves learning, memory and performance, it follows that the statement 'most nuts grow into trees' can be considered false. Should it be the case that religion imbues each passing day with a sense of holiness, it follows that the statement 'most nuts grow into trees' can be considered false. Given that propylene glycol is used to extract flavor from natural flavoring materials, it can be inferred that smoking is known to aggravate the effects of exposure. Once we know propylene glycol is used to extract flavor from natural flavoring materials, we also know that the claim that smoking is known to aggravate the effects of exposure is false.
|
It is not the case that if access is approachs, then chronic disease reduces immune function, ie., diabetes.
|
One may reasonably assume that if access is approachs, then chronic disease reduces immune function, ie., diabetes.
|
FALSE
|
Disjunction Elimination:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then (Not (If [0], then [1].).).
If [4], then (Not (If [0], then [1].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC3-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (Not (If [0], then [1].).).).
If [6], then (If [4], then (Not (If [0], then [1].).).). [SC3-2]
Therefore, If [4], then (Not (If [0], then [1].).)..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If [6], then (If [4], then (Not (If [0], then [1].).).).). [SC1-3]
Not [7]. [SC2-3]
Therefore, If [6], then (If [4], then (Not (If [0], then [1].).).)..
[SC1-3]
Modus Tonens:
If (Not (Either [7] or (If [6], then (If [4], then (Not (If [0], then [1].).).).).).), then [8].
Not [8]. [SC2-4]
Therefore, Either [7] or (If [6], then (If [4], then (Not (If [0], then [1].).).).)..
[SC2-4]
Reductio Ad Absurdum:
If [8], then [11].
If [8], then (Not [11].).
Therefore, Not [8]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [7].).
If [10], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Access is approachs.', 1: 'Chronic disease reduces immune function, ie., diabetes.', 2: 'All isotopes of astatine are radioactive.', 3: 'Seawater is salt.', 4: 'Men are somewhat more likely to want another child than women are.', 5: 'A roofer is an artisan.', 6: 'Bees produce queens.', 7: 'Most nuts grow into trees.', 8: 'Propylene glycol is used to extract flavor from natural flavoring materials.', 9: 'Sound sleep improves learning, memory and performance.', 10: 'Religion imbues each passing day with a sense of holiness.', 11: 'Smoking is known to aggravate the effects of exposure.'}
| 6 |
5,619 |
['Should it be the case that we know that the claim that most materials transmit energy is false, it follows that some solenoids have two small studs.', 'One may reasonably assume that if either standard time is adjusted by adding or subtracting a leap second from time to time or concentrated acids can burn skin and clothing, then if the claim that if most materials transmit energy, then if some teeth have bones, then fats produce the least amount of carbon dioxide along with proteins does not reflect reality, then additional modifications give rise to the physiologically active steroid hormones.', 'At least one of two things is true: standard time is adjusted by adding or subtracting a leap second from time to time, or concentrated acids can burn skin and clothing.', 'If airborne microbes are everywhere, then if the claim that if most materials transmit energy, then if some teeth have bones, then fats produce the least amount of carbon dioxide along with proteins does not reflect reality, then the statement, additional modifications give rise to the physiologically active steroid hormones, does not hold.', 'Those that suggest airborne microbes are everywhere are right.', 'We know that either if some sharks have to always swim to maintain buoyancy, then weasels are the smallest of the three mustelids, with a thin, muscular body and a small head or thief ants are omnivorous.', "Whenever it is true that if some sharks have to always swim to maintain buoyancy, then weasels are the smallest of the three mustelids, with a thin, muscular body and a small head, 'the statement 'some solenoids have two small studs' can be considered false' is true.", "Provided that thief ants are omnivorous, we know that the statement 'some solenoids have two small studs' can be considered false."]
|
Should it be the case that we know that the claim that most materials transmit energy is false, it follows that some solenoids have two small studs. One may reasonably assume that if either standard time is adjusted by adding or subtracting a leap second from time to time or concentrated acids can burn skin and clothing, then if the claim that if most materials transmit energy, then if some teeth have bones, then fats produce the least amount of carbon dioxide along with proteins does not reflect reality, then additional modifications give rise to the physiologically active steroid hormones. At least one of two things is true: standard time is adjusted by adding or subtracting a leap second from time to time, or concentrated acids can burn skin and clothing. If airborne microbes are everywhere, then if the claim that if most materials transmit energy, then if some teeth have bones, then fats produce the least amount of carbon dioxide along with proteins does not reflect reality, then the statement, additional modifications give rise to the physiologically active steroid hormones, does not hold. Those that suggest airborne microbes are everywhere are right. We know that either if some sharks have to always swim to maintain buoyancy, then weasels are the smallest of the three mustelids, with a thin, muscular body and a small head or thief ants are omnivorous. Whenever it is true that if some sharks have to always swim to maintain buoyancy, then weasels are the smallest of the three mustelids, with a thin, muscular body and a small head, 'the statement 'some solenoids have two small studs' can be considered false' is true. Provided that thief ants are omnivorous, we know that the statement 'some solenoids have two small studs' can be considered false.
|
When some teeth have bones is true, it follows that fats produce the least amount of carbon dioxide along with proteins.
|
When some teeth have bones is true, it follows that fats produce the least amount of carbon dioxide along with proteins.
|
TRUE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then [4]. [SC1-2]
If (Not (If [2], then (If [0], then [1].).).), then (Not [4].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If (Not (If [2], then (If [0], then [1].).).), then [4].).
Either [5] or [6].
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [4]..
[SC2-2]
Modus Ponens:
If [10], then (If (Not (If [2], then (If [0], then [1].).).), then (Not [4].).).
[10]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (Not [4].)..
[SC2-1]
Modus Tonens:
If (Not [2].), then [3].
Not [3]. [SC2-2]
Therefore, [2].
[SC2-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (Not [3].).
If [9], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Some teeth have bones.', 1: 'Fats produce the least amount of carbon dioxide along with proteins.', 2: 'Most materials transmit energy.', 3: 'Some solenoids have two small studs.', 4: 'Additional modifications give rise to the physiologically active steroid hormones.', 5: 'Standard time is adjusted by adding or subtracting a leap second from time to time.', 6: 'Concentrated acids can burn skin and clothing.', 7: 'Some sharks have to always swim to maintain buoyancy.', 8: 'Weasels are the smallest of the three mustelids, with a thin, muscular body and a small head.', 9: 'Thief ants are omnivorous.', 10: 'Airborne microbes are everywhere.'}
| 6 |
5,815 |
['Either blood cultures are usually negative or chronic pancreatitis occurs more frequently in men.', 'Given that blood cultures are usually negative, it can be inferred that if death camas is the common name of several plant species poisonous to livestock, then many behavioral problems are associated with confinement.', 'On the condition that splashes cause inflammation and blurred vision, it is definitely the case that if chronic pancreatitis occurs more frequently in men, then if death camas is the common name of several plant species poisonous to livestock, then many behavioral problems are associated with confinement.', 'The claim that splashes cause inflammation and blurred vision is true.', 'On the condition that the statement that states if either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands, then death camas is the common name of several plant species poisonous to livestock is false, it is definitely the case that most haploid spores undergo mitosis.', "On the condition that the statement that states if either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands, then death camas is the common name of several plant species poisonous to livestock is false, it is definitely the case that the statement that 'most haploid spores undergo mitosis' is incorrect.", "Whenever it is true that ridges allow water to fall transformed in rain when humid winds come from the Pacific Coast, 'either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands' is true.", 'It is the case that ridges allow water to fall transformed in rain when humid winds come from the Pacific Coast.']
|
Either blood cultures are usually negative or chronic pancreatitis occurs more frequently in men. Given that blood cultures are usually negative, it can be inferred that if death camas is the common name of several plant species poisonous to livestock, then many behavioral problems are associated with confinement. On the condition that splashes cause inflammation and blurred vision, it is definitely the case that if chronic pancreatitis occurs more frequently in men, then if death camas is the common name of several plant species poisonous to livestock, then many behavioral problems are associated with confinement. The claim that splashes cause inflammation and blurred vision is true. On the condition that the statement that states if either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands, then death camas is the common name of several plant species poisonous to livestock is false, it is definitely the case that most haploid spores undergo mitosis. On the condition that the statement that states if either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands, then death camas is the common name of several plant species poisonous to livestock is false, it is definitely the case that the statement that 'most haploid spores undergo mitosis' is incorrect. Whenever it is true that ridges allow water to fall transformed in rain when humid winds come from the Pacific Coast, 'either a bastard is a person or radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands' is true. It is the case that ridges allow water to fall transformed in rain when humid winds come from the Pacific Coast.
|
Many people rightly believe that many behavioral problems are associated with confinement.
|
The claim that many behavioral problems are associated with confinement does not correspond with reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [0].).
If [5], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Modus Ponens:
If [6], then (If [5], then (If [1], then [0].).).
[6]
Therefore, If [5], then (If [1], then [0].)..
[SC2-1]
Modus Ponens:
If (Either [2] or [3].), then [1]. [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then [1].).), then [8].
If (Not (If (Either [2] or [3].), then [1].).), then (Not [8].).
Therefore, If (Either [2] or [3].), then [1]..
[SC2-2]
Modus Ponens:
If [7], then (Either [2] or [3].).
[7]
Therefore, Either [2] or [3]..
|
{0: 'Many behavioral problems are associated with confinement.', 1: 'Death camas is the common name of several plant species poisonous to livestock.', 2: 'A bastard is a person.', 3: 'Radical prostatectomy involves surgical removal of the entire prostate gland and adjacent glands.', 4: 'Blood cultures are usually negative.', 5: 'Chronic pancreatitis occurs more frequently in men.', 6: 'Splashes cause inflammation and blurred vision.', 7: 'Ridges allow water to fall transformed in rain when humid winds come from the Pacific Coast.', 8: 'Most haploid spores undergo mitosis.'}
| 6 |
5,365 |
['Provided that substantive knowledge refers to the concepts, principles and laws of a particular area of science, we know that children learn and begin reading at different times.', 'The claim that children learn and begin reading at different times has no merit.', 'Given that those that suggest if the statement, most sweatshop workers are women and many are underpaid and work in unsafe conditions, does not hold, then edification is the process of building up some one or some thing are wrong, it can be inferred that some reptiles swim in sea.', 'The claim that some reptiles swim in sea does not correspond with reality.', 'It is not the case that either herpetologists have (part) human bodies or tendons are the most common tissue affected.', 'Assuming agriculture is one of our nation s most productive economic sectors, we know that if the statement, if edification is the process of building up some one or some thing, then substantive knowledge refers to the concepts, principles and laws of a particular area of science, does not hold, then either herpetologists have (part) human bodies or tendons are the most common tissue affected.', 'It is true that agriculture is one of our nation s most productive economic sectors.']
|
Provided that substantive knowledge refers to the concepts, principles and laws of a particular area of science, we know that children learn and begin reading at different times. The claim that children learn and begin reading at different times has no merit. Given that those that suggest if the statement, most sweatshop workers are women and many are underpaid and work in unsafe conditions, does not hold, then edification is the process of building up some one or some thing are wrong, it can be inferred that some reptiles swim in sea. The claim that some reptiles swim in sea does not correspond with reality. It is not the case that either herpetologists have (part) human bodies or tendons are the most common tissue affected. Assuming agriculture is one of our nation s most productive economic sectors, we know that if the statement, if edification is the process of building up some one or some thing, then substantive knowledge refers to the concepts, principles and laws of a particular area of science, does not hold, then either herpetologists have (part) human bodies or tendons are the most common tissue affected. It is true that agriculture is one of our nation s most productive economic sectors.
|
The statement 'most sweatshop workers are women and many are underpaid and work in unsafe conditions' can be considered true.
|
The statement 'most sweatshop workers are women and many are underpaid and work in unsafe conditions' can be considered true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [2].).), then [6].
Not [6].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then (Either [4] or [5].). [SC1-3]
Not (Either [4] or [5].).
Therefore, If [2], then [1]..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If [2], then [1].).), then (Either [4] or [5].).).
[7]
Therefore, If (Not (If [2], then [1].).), then (Either [4] or [5].)..
[SC2-1]
Modus Tonens:
If [1], then [3].
Not [3].
Therefore, Not [1]..
|
{0: 'Most sweatshop workers are women and many are underpaid and work in unsafe conditions.', 1: 'Substantive knowledge refers to the concepts, principles and laws of a particular area of science.', 2: 'Edification is the process of building up some one or some thing.', 3: 'Children learn and begin reading at different times.', 4: 'Herpetologists have (part) human bodies.', 5: 'Tendons are the most common tissue affected.', 6: 'Some reptiles swim in sea.', 7: 'Agriculture is one of our nation s most productive economic sectors.'}
| 6 |
5,812 |
['Those that suggest oats produce viable seeds are right.', 'Once we know mums are located in homes, we also know that pepper spray is all natural being made of cayenne pepper extract.', 'Either one or both of these statements are true: elevated triglycerides are a contributing, independent risk factor for cardiovascular disease, or victimization is one of the strongest predictors of relapse for women.', 'One may reasonably assume that if elevated triglycerides are a contributing, independent risk factor for cardiovascular disease, then if a feeler is a tentacle, then if oats produce viable seeds, then a patisserie is a store.', 'Assuming victimization is one of the strongest predictors of relapse for women, we know that if a feeler is a tentacle, then if oats produce viable seeds, then a patisserie is a store.', 'Should it be the case that cervical mucus is important for the sperm to enter the cervix and the uterus, it follows that if museums are cemetaries, then pythons have heads.', 'On the condition that if museums are cemetaries, then pythons have heads, it is definitely the case that if oats produce viable seeds, then a patisserie is a store.', 'Provided that if mums are located in homes, then pepper spray is all natural being made of cayenne pepper extract, we know that most tapirs have distinctive color patterns.', "So long as most tapirs have distinctive color patterns, 'either a feeler is a tentacle or cervical mucus is important for the sperm to enter the cervix and the uterus' is true."]
|
Those that suggest oats produce viable seeds are right. Once we know mums are located in homes, we also know that pepper spray is all natural being made of cayenne pepper extract. Either one or both of these statements are true: elevated triglycerides are a contributing, independent risk factor for cardiovascular disease, or victimization is one of the strongest predictors of relapse for women. One may reasonably assume that if elevated triglycerides are a contributing, independent risk factor for cardiovascular disease, then if a feeler is a tentacle, then if oats produce viable seeds, then a patisserie is a store. Assuming victimization is one of the strongest predictors of relapse for women, we know that if a feeler is a tentacle, then if oats produce viable seeds, then a patisserie is a store. Should it be the case that cervical mucus is important for the sperm to enter the cervix and the uterus, it follows that if museums are cemetaries, then pythons have heads. On the condition that if museums are cemetaries, then pythons have heads, it is definitely the case that if oats produce viable seeds, then a patisserie is a store. Provided that if mums are located in homes, then pepper spray is all natural being made of cayenne pepper extract, we know that most tapirs have distinctive color patterns. So long as most tapirs have distinctive color patterns, 'either a feeler is a tentacle or cervical mucus is important for the sperm to enter the cervix and the uterus' is true.
|
It is the case that a patisserie is a store.
|
The statement, a patisserie is a store, does not hold.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then [0].). [SC2-2]
If [3], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (If [8], then [9].), then (Either [2] or [3].). [SC1-3]
If [8], then [9].
Therefore, Either [2] or [3]..
[SC1-3]
Hypothetical Syllogism:
If (If [8], then [9].), then [10].
If [10], then (Either [2] or [3].).
Therefore, If (If [8], then [9].), then (Either [2] or [3].)..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then (If [1], then [0].).).
If [7], then (If [2], then (If [1], then [0].).).
Therefore, If [2], then (If [1], then [0].)..
[SC3-2]
Hypothetical Syllogism:
If [3], then (If [4], then [5].).
If (If [4], then [5].), then (If [1], then [0].).
Therefore, If [3], then (If [1], then [0].)..
|
{0: 'A patisserie is a store.', 1: 'Oats produce viable seeds.', 2: 'A feeler is a tentacle.', 3: 'Cervical mucus is important for the sperm to enter the cervix and the uterus.', 4: 'Museums are cemetaries.', 5: 'Pythons have heads.', 6: 'Elevated triglycerides are a contributing, independent risk factor for cardiovascular disease.', 7: 'Victimization is one of the strongest predictors of relapse for women.', 8: 'Mums are located in homes.', 9: 'Pepper spray is all natural being made of cayenne pepper extract.', 10: 'Most tapirs have distinctive color patterns.'}
| 6 |
5,026 |
['It is not true that cricket frogs re only about an inch long.', 'The statement, either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity , does not hold.', 'The claim that broccoli seeds take one to two weeks to germinate does not correspond with reality.', 'On the condition that some birds appear in islands, it is definitely the case that if the claim that if the claim that either cricket frogs re only about an inch long or sadomasochists seek to legitimize and provide a premeditated structure for violence does not reflect reality, then either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity does not reflect reality, then broccoli seeds take one to two weeks to germinate.', 'Provided that government agencies are responsible for the management of all of their assets, we know that if the claim that if the claim that either cricket frogs re only about an inch long or sadomasochists seek to legitimize and provide a premeditated structure for violence does not reflect reality, then either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity does not reflect reality, then broccoli seeds take one to two weeks to germinate.', 'It is rational to believe that either philosophy is a tradition replete with techniques for keeping conversation alive or a black olive is an olive.', 'Once we know a black olive is an olive, we also know that government agencies are responsible for the management of all of their assets.', 'If those that suggest if philosophy is a tradition replete with techniques for keeping conversation alive, then some birds appear in islands are wrong, then spiders look different depending upon their habitat.', 'The statement that states spiders look different depending upon their habitat is false.']
|
It is not true that cricket frogs re only about an inch long. The statement, either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity , does not hold. The claim that broccoli seeds take one to two weeks to germinate does not correspond with reality. On the condition that some birds appear in islands, it is definitely the case that if the claim that if the claim that either cricket frogs re only about an inch long or sadomasochists seek to legitimize and provide a premeditated structure for violence does not reflect reality, then either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity does not reflect reality, then broccoli seeds take one to two weeks to germinate. Provided that government agencies are responsible for the management of all of their assets, we know that if the claim that if the claim that either cricket frogs re only about an inch long or sadomasochists seek to legitimize and provide a premeditated structure for violence does not reflect reality, then either black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs or speed is a scalar quantity and velocity is a vector quantity does not reflect reality, then broccoli seeds take one to two weeks to germinate. It is rational to believe that either philosophy is a tradition replete with techniques for keeping conversation alive or a black olive is an olive. Once we know a black olive is an olive, we also know that government agencies are responsible for the management of all of their assets. If those that suggest if philosophy is a tradition replete with techniques for keeping conversation alive, then some birds appear in islands are wrong, then spiders look different depending upon their habitat. The statement that states spiders look different depending upon their habitat is false.
|
The claim that sadomasochists seek to legitimize and provide a premeditated structure for violence holds true.
|
The statement 'sadomasochists seek to legitimize and provide a premeditated structure for violence' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].).
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).), then [4]. [SC1-3]
Not [4].
Therefore, If (Not (Either [1] or [0].).), then (Either [2] or [3].)..
[SC1-3]
Disjunction Elimination:
Either [5] or [6]. [SC1-4]
If [5], then (If (Not (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).), then [4].).
If [6], then (If (Not (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).), then [4].).
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Either [2] or [3].).).), then [4]..
[SC1-4]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5]. [SC2-5]
If [8], then [6].
Therefore, Either [5] or [6]..
[SC2-5]
Modus Tonens:
If (Not (If [7], then [5].).), then [9].
Not [9].
Therefore, If [7], then [5]..
|
{0: 'Sadomasochists seek to legitimize and provide a premeditated structure for violence.', 1: 'Cricket frogs re only about an inch long.', 2: 'Black rhinos are browsers and have pointed prehensile lips adapted for browsing off thorny shrubs.', 3: 'Speed is a scalar quantity and velocity is a vector quantity .', 4: 'Broccoli seeds take one to two weeks to germinate.', 5: 'Some birds appear in islands.', 6: 'Government agencies are responsible for the management of all of their assets.', 7: 'Philosophy is a tradition replete with techniques for keeping conversation alive.', 8: 'A black olive is an olive.', 9: 'Spiders look different depending upon their habitat.'}
| 6 |
5,642 |
['The claim that cantaloupes are a source of polyphenol antioxidants does not correspond with reality.', 'When some people mistakenly believe that if it is a common misconception that cancer cells grow outwith the growth regulating system in the body, then cantaloupes are a source of polyphenol antioxidants is true, it follows that boron nitride is a inorganic material with low reactivity and several applications.', 'Given that tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance, it can be inferred that the claim that boron nitride is a inorganic material with low reactivity and several applications does not reflect reality.', 'One may reasonably assume that if churches have (part) hinges, then the claim that boron nitride is a inorganic material with low reactivity and several applications does not reflect reality.', 'We know that at least one of two things is true: fifth disease is generally a mild illness, or some people prefer to simply water their plants every day.', 'When fifth disease is generally a mild illness is true, it follows that if guards have (part) sections, then either tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance or churches have (part) hinges.', 'On the condition that some people prefer to simply water their plants every day, it is definitely the case that if guards have (part) sections, then either tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance or churches have (part) hinges.', 'Assuming the claim that guards have (part) sections is false, we know that sugar levels are also important for processed carrots.', 'The statement that states sugar levels are also important for processed carrots is false.']
|
The claim that cantaloupes are a source of polyphenol antioxidants does not correspond with reality. When some people mistakenly believe that if it is a common misconception that cancer cells grow outwith the growth regulating system in the body, then cantaloupes are a source of polyphenol antioxidants is true, it follows that boron nitride is a inorganic material with low reactivity and several applications. Given that tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance, it can be inferred that the claim that boron nitride is a inorganic material with low reactivity and several applications does not reflect reality. One may reasonably assume that if churches have (part) hinges, then the claim that boron nitride is a inorganic material with low reactivity and several applications does not reflect reality. We know that at least one of two things is true: fifth disease is generally a mild illness, or some people prefer to simply water their plants every day. When fifth disease is generally a mild illness is true, it follows that if guards have (part) sections, then either tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance or churches have (part) hinges. On the condition that some people prefer to simply water their plants every day, it is definitely the case that if guards have (part) sections, then either tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance or churches have (part) hinges. Assuming the claim that guards have (part) sections is false, we know that sugar levels are also important for processed carrots. The statement that states sugar levels are also important for processed carrots is false.
|
The statement that states cancer cells grow outwith the growth regulating system in the body is right.
|
Cancer cells become resistant to chemotherapy drugs.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [5], then (Either [3] or [4].). [SC1-4]
[5] [SC2-4]
Therefore, Either [3] or [4]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [5], then (Either [3] or [4].).).
If [8], then (If [5], then (Either [3] or [4].).).
Therefore, If [5], then (Either [3] or [4].)..
[SC2-4]
Modus Tonens:
If (Not [5].), then [6].
Not [6].
Therefore, [5].
|
{0: 'Cancer cells grow outwith the growth regulating system in the body.', 1: 'Cantaloupes are a source of polyphenol antioxidants .', 2: 'Boron nitride is a inorganic material with low reactivity and several applications.', 3: 'Tall fescue is a clump grass with a very coarse-textured leaf that has some drought tolerance.', 4: 'Churches have (part) hinges.', 5: 'Guards have (part) sections.', 6: 'Sugar levels are also important for processed carrots.', 7: 'Fifth disease is generally a mild illness.', 8: 'Some people prefer to simply water their plants every day.'}
| 6 |
5,417 |
['Either one or both of these statements are true: peritoneal dialysis is used often in patients with diabetes, or either most snouts have tips or eggs contain few cells and have one of the lowest potassium contents among high-protein foods.', 'Should it be the case that peritoneal dialysis is used often in patients with diabetes, it follows that some people mistakenly believe that if pandas share habitats, then confiscation is seizures.', 'Assuming peritoneal dialysis is used often in patients with diabetes, we know that if major clades tend to have restricted distributions - Tree frogs are restricted to South America, then side effects tend to be more common when a drug is just started or a major change in dosage is made.', "So long as it is a common misconception that if some people mistakenly believe that if if major clades tend to have restricted distributions - Tree frogs are restricted to South America, then side effects tend to be more common when a drug is just started or a major change in dosage is made, then if pandas share habitats, then confiscation is seizures, then cubicles are located in offices, 'electrons can be on their own also' is true.", 'The statement, electrons can be on their own also, does not hold.', "Whenever it is true that cubicles are located in offices, 'some companies use technology to monitor their employees in a decidedly Orwellian fashion' is true.", 'Provided that cubicles are located in offices, we know that we know that the claim that some companies use technology to monitor their employees in a decidedly Orwellian fashion is false.']
|
Either one or both of these statements are true: peritoneal dialysis is used often in patients with diabetes, or either most snouts have tips or eggs contain few cells and have one of the lowest potassium contents among high-protein foods. Should it be the case that peritoneal dialysis is used often in patients with diabetes, it follows that some people mistakenly believe that if pandas share habitats, then confiscation is seizures. Assuming peritoneal dialysis is used often in patients with diabetes, we know that if major clades tend to have restricted distributions - Tree frogs are restricted to South America, then side effects tend to be more common when a drug is just started or a major change in dosage is made. So long as it is a common misconception that if some people mistakenly believe that if if major clades tend to have restricted distributions - Tree frogs are restricted to South America, then side effects tend to be more common when a drug is just started or a major change in dosage is made, then if pandas share habitats, then confiscation is seizures, then cubicles are located in offices, 'electrons can be on their own also' is true. The statement, electrons can be on their own also, does not hold. Whenever it is true that cubicles are located in offices, 'some companies use technology to monitor their employees in a decidedly Orwellian fashion' is true. Provided that cubicles are located in offices, we know that we know that the claim that some companies use technology to monitor their employees in a decidedly Orwellian fashion is false.
|
It is a fact that either most snouts have tips or eggs contain few cells and have one of the lowest potassium contents among high-protein foods.
|
We know that either snouts have fang teeth or eggs are an important part of a healthy balanced diet.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].).
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then (If [3], then [4].). [SC1-2]
If [2], then (Not (If [3], then [4].).).
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then (If [5], then [6].).
If (If [5], then [6].), then (If [3], then [4].). [SC2-3]
Therefore, If [2], then (If [3], then [4].)..
[SC2-3]
Modus Tonens:
If (Not (If (If [5], then [6].), then (If [3], then [4].).).), then [7]. [SC1-4]
Not [7]. [SC2-4]
Therefore, If (If [5], then [6].), then (If [3], then [4].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (If [5], then [6].), then (If [3], then [4].).).), then [7].).), then [8].
Not [8].
Therefore, If (Not (If (If [5], then [6].), then (If [3], then [4].).).), then [7]..
[SC2-4]
Reductio Ad Absurdum:
If [7], then [9].
If [7], then (Not [9].).
Therefore, Not [7]..
|
{0: 'Most snouts have tips.', 1: 'Eggs contain few cells and have one of the lowest potassium contents among high-protein foods.', 2: 'Peritoneal dialysis is used often in patients with diabetes.', 3: 'Pandas share habitats.', 4: 'Confiscation is seizures.', 5: 'Major clades tend to have restricted distributions - Tree frogs are restricted to South America.', 6: 'Side effects tend to be more common when a drug is just started or a major change in dosage is made.', 7: 'Cubicles are located in offices.', 8: 'Electrons can be on their own also.', 9: 'Some companies use technology to monitor their employees in a decidedly Orwellian fashion.'}
| 6 |
5,907 |
['If radiation emits radiation, then animals are an important part of everyday life.', 'It is rational to believe that either chemical communication is accomplished via scentmarking with urine and abdominal rubbing or women often have fewer symptoms initially than men when infected with gonorrhea.', 'On the condition that women often have fewer symptoms initially than men when infected with gonorrhea, it is definitely the case that the claim that animals are an important part of everyday life does not correspond with reality.', "So long as birds have intestines, 'if chemical communication is accomplished via scentmarking with urine and abdominal rubbing, then the claim that animals are an important part of everyday life does not correspond with reality' is true.", "Given that it is not the case that either either farmers have (part) arms or humans have an extraordinary ability for self-expression or birds have intestines, it can be inferred that the statement that 'cisco helps companies become more agile , turning change into a competitive advantage' is incorrect.", 'Once we know either proteins are essential enabling components of the biotechnology revolution or most rice has grain, we also know that if either farmers have (part) arms or humans have an extraordinary ability for self-expression, then if chemical communication is accomplished via scentmarking with urine and abdominal rubbing, then the claim that animals are an important part of everyday life does not correspond with reality.', 'It is rational to believe that either proteins are essential enabling components of the biotechnology revolution or most rice has grain.', 'We know that either capitalists step on poor to get rich or if it is not the case that either either farmers have (part) arms or humans have an extraordinary ability for self-expression or birds have intestines, then cisco helps companies become more agile , turning change into a competitive advantage.', 'Some people mistakenly believe that capitalists step on poor to get rich.']
|
If radiation emits radiation, then animals are an important part of everyday life. It is rational to believe that either chemical communication is accomplished via scentmarking with urine and abdominal rubbing or women often have fewer symptoms initially than men when infected with gonorrhea. On the condition that women often have fewer symptoms initially than men when infected with gonorrhea, it is definitely the case that the claim that animals are an important part of everyday life does not correspond with reality. So long as birds have intestines, 'if chemical communication is accomplished via scentmarking with urine and abdominal rubbing, then the claim that animals are an important part of everyday life does not correspond with reality' is true. Given that it is not the case that either either farmers have (part) arms or humans have an extraordinary ability for self-expression or birds have intestines, it can be inferred that the statement that 'cisco helps companies become more agile , turning change into a competitive advantage' is incorrect. Once we know either proteins are essential enabling components of the biotechnology revolution or most rice has grain, we also know that if either farmers have (part) arms or humans have an extraordinary ability for self-expression, then if chemical communication is accomplished via scentmarking with urine and abdominal rubbing, then the claim that animals are an important part of everyday life does not correspond with reality. It is rational to believe that either proteins are essential enabling components of the biotechnology revolution or most rice has grain. We know that either capitalists step on poor to get rich or if it is not the case that either either farmers have (part) arms or humans have an extraordinary ability for self-expression or birds have intestines, then cisco helps companies become more agile , turning change into a competitive advantage. Some people mistakenly believe that capitalists step on poor to get rich.
|
The statement, radiation emits radiation, does not hold.
|
The statement, radiation emits radiation, does not hold.
|
TRUE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-3]
If (Either [4] or [5].), then (If [2], then (Not [1].).). [SC2-3]
If [6], then (If [2], then (Not [1].).).
Therefore, If [2], then (Not [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [4] or [5].) or [6].).), then [9]. [SC1-4]
If (Not (Either (Either [4] or [5].) or [6].).), then (Not [9].).
Therefore, Either (Either [4] or [5].) or [6]..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (If (Not (Either (Either [4] or [5].) or [6].).), then [9].).
Not [10].
Therefore, If (Not (Either (Either [4] or [5].) or [6].).), then [9]..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then (If (Either [4] or [5].), then (If [2], then (Not [1].).).).
Either [7] or [8].
Therefore, If (Either [4] or [5].), then (If [2], then (Not [1].).)..
|
{0: 'Radiation emits radiation.', 1: 'Animals are an important part of everyday life.', 2: 'Chemical communication is accomplished via scentmarking with urine and abdominal rubbing.', 3: 'Women often have fewer symptoms initially than men when infected with gonorrhea.', 4: 'Farmers have (part) arms.', 5: 'Humans have an extraordinary ability for self-expression.', 6: 'Birds have intestines.', 7: 'Proteins are essential enabling components of the biotechnology revolution.', 8: 'Most rice has grain.', 9: 'Cisco helps companies become more agile , turning change into a competitive advantage.', 10: 'Capitalists step on poor to get rich.'}
| 6 |
5,921 |
['One may reasonably assume that if fungicides vary in their formulation and percent active ingredient, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals.', 'When the claim that colostrum has no drug interactions has no merit is true, it follows that production relies on applications.', "Whenever it is true that the claim that either fungicides vary in their formulation and percent active ingredient or peacocks often play the role of the mythical phoenix in religious art is false, 'image is the complementary opposite of Word' is true.", 'Provided that the claim that either fungicides vary in their formulation and percent active ingredient or peacocks often play the role of the mythical phoenix in religious art is false, we know that some people mistakenly believe that image is the complementary opposite of Word.', 'At least one of two things is true: factors lead to diversity, or alcohol often plays a significant role in sexual assaults.', 'On the condition that factors lead to diversity, it is definitely the case that if peacocks often play the role of the mythical phoenix in religious art, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals.', 'On the condition that alcohol often plays a significant role in sexual assaults, it is definitely the case that if peacocks often play the role of the mythical phoenix in religious art, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals.', 'Either community education is responsible for arranging with custodians to see that doors are open or football is a physical game.', 'Provided that community education is responsible for arranging with custodians to see that doors are open, we know that if the claim that colostrum has no drug interactions has no merit, then the claim that production relies on applications has no merit.', "Whenever it is true that football is a physical game, 'if the claim that colostrum has no drug interactions has no merit, then the claim that production relies on applications has no merit' is true."]
|
One may reasonably assume that if fungicides vary in their formulation and percent active ingredient, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals. When the claim that colostrum has no drug interactions has no merit is true, it follows that production relies on applications. Whenever it is true that the claim that either fungicides vary in their formulation and percent active ingredient or peacocks often play the role of the mythical phoenix in religious art is false, 'image is the complementary opposite of Word' is true. Provided that the claim that either fungicides vary in their formulation and percent active ingredient or peacocks often play the role of the mythical phoenix in religious art is false, we know that some people mistakenly believe that image is the complementary opposite of Word. At least one of two things is true: factors lead to diversity, or alcohol often plays a significant role in sexual assaults. On the condition that factors lead to diversity, it is definitely the case that if peacocks often play the role of the mythical phoenix in religious art, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals. On the condition that alcohol often plays a significant role in sexual assaults, it is definitely the case that if peacocks often play the role of the mythical phoenix in religious art, then if colostrum has no drug interactions, then lime is also an important material in the manufacture of chemicals. Either community education is responsible for arranging with custodians to see that doors are open or football is a physical game. Provided that community education is responsible for arranging with custodians to see that doors are open, we know that if the claim that colostrum has no drug interactions has no merit, then the claim that production relies on applications has no merit. Whenever it is true that football is a physical game, 'if the claim that colostrum has no drug interactions has no merit, then the claim that production relies on applications has no merit' is true.
|
The claim that lime is also an important material in the manufacture of chemicals is true.
|
Lime occurs as soft masses or filaments and as concretions in some pedons.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then [0].).
If [3], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [9].
If (Not (Either [2] or [3].).), then (Not [9].).
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (If [1], then [0].).).
If [6], then (If [3], then (If [1], then [0].).).
Therefore, If [3], then (If [1], then [0].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [4].
If (Not [1].), then (Not [4].). [SC2-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not [1].), then (Not [4].).).
If [8], then (If (Not [1].), then (Not [4].).).
Therefore, If (Not [1].), then (Not [4].)..
|
{0: 'Lime is also an important material in the manufacture of chemicals.', 1: 'Colostrum has no drug interactions.', 2: 'Fungicides vary in their formulation and percent active ingredient.', 3: 'Peacocks often play the role of the mythical phoenix in religious art.', 4: 'Production relies on applications.', 5: 'Factors lead to diversity.', 6: 'Alcohol often plays a significant role in sexual assaults.', 7: 'Community education is responsible for arranging with custodians to see that doors are open.', 8: 'Football is a physical game.', 9: 'Image is the complementary opposite of Word.'}
| 6 |
5,003 |
['It is rational to believe that either butchers are located in markets or sexual assault happens to women, men, and children.', 'Assuming sexual assault happens to women, men, and children, we know that most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen.', "So long as if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, 'if butchers are located in markets, then most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen' is true.", 'Provided that the statement, if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound, does not hold, we know that water removes oils on the skin.', 'The claim that water removes oils on the skin does not correspond with reality.', "The statement 'solutions are homogeneous mixtures of two or more pure substances' can be considered true.", 'It is a fact that either if most furry rodents have eyesights, then researchers use image techniques or indian turmeric is considered the best in the world due to presence of high curcumin content.', 'Assuming if most furry rodents have eyesights, then researchers use image techniques, we know that if solutions are homogeneous mixtures of two or more pure substances, then if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then the statement that states either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound is false.', 'Given that indian turmeric is considered the best in the world due to presence of high curcumin content, it can be inferred that if solutions are homogeneous mixtures of two or more pure substances, then if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then the statement that states either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound is false.']
|
It is rational to believe that either butchers are located in markets or sexual assault happens to women, men, and children. Assuming sexual assault happens to women, men, and children, we know that most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen. So long as if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, 'if butchers are located in markets, then most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen' is true. Provided that the statement, if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound, does not hold, we know that water removes oils on the skin. The claim that water removes oils on the skin does not correspond with reality. The statement 'solutions are homogeneous mixtures of two or more pure substances' can be considered true. It is a fact that either if most furry rodents have eyesights, then researchers use image techniques or indian turmeric is considered the best in the world due to presence of high curcumin content. Assuming if most furry rodents have eyesights, then researchers use image techniques, we know that if solutions are homogeneous mixtures of two or more pure substances, then if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then the statement that states either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound is false. Given that indian turmeric is considered the best in the world due to presence of high curcumin content, it can be inferred that if solutions are homogeneous mixtures of two or more pure substances, then if it is not the case that if carbohydrates then pass through food webs to consumers, then deforestation is caused by agriculture, then the statement that states either diggers have (part) human bodies or stars usually occur in groups called clusters, which are gravitationally bound is false.
|
The statement 'most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen' can be considered true.
|
The statement 'most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [3], then [4].), then (If [1], then [0].).
If [3], then [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then [4].).), then (Either [5] or [6].). [SC1-3]
If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, If [3], then [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [3], then [4].).), then (Either [5] or [6].).).), then [7].
Not [7].
Therefore, If (Not (If [3], then [4].).), then (Either [5] or [6].)..
[SC2-3]
Modus Ponens:
If [8], then (If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).).). [SC1-4]
[8]
Therefore, If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).)..
[SC1-4]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If [8], then (If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).).).).
If [11], then (If [8], then (If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).).).).
Therefore, If [8], then (If (Not (If [3], then [4].).), then (Not (Either [5] or [6].).).)..
|
{0: 'Most cicadas have a pair of tymbals or domed, drum-like organs on the sides of the abdomen.', 1: 'Butchers are located in markets.', 2: 'Sexual assault happens to women, men, and children.', 3: 'Carbohydrates then pass through food webs to consumers.', 4: 'Deforestation is caused by agriculture.', 5: 'Diggers have (part) human bodies.', 6: 'Stars usually occur in groups called clusters, which are gravitationally bound.', 7: 'Water removes oils on the skin.', 8: 'Solutions are homogeneous mixtures of two or more pure substances.', 9: 'Most furry rodents have eyesights.', 10: 'Researchers use image techniques.', 11: 'Indian turmeric is considered the best in the world due to presence of high curcumin content.'}
| 6 |
5,134 |
['One may reasonably assume that if carbohydrates are one of the main sources of energy for working muscles, then either oyster mushrooms have a delicate, mild flavor and velvety texture or spider plants have stolons.', 'We know that at least one of two things is true: some insulin resistance produces urine, or if guys see hot girls, then leaves also contain yellow pigments called carotenoids.', 'We know that the claim that some insulin resistance produces urine is false.', 'We know that either warmer temperatures result in yellow foliage and dead flower buds or if if guys see hot girls, then leaves also contain yellow pigments called carotenoids, then carbohydrates are one of the main sources of energy for working muscles.', 'Either one or both of these statements are true: courage is the major status trait among the Indian warriors, or every age is an age of transition.', "So long as every age is an age of transition, 'the claim that warmer temperatures result in yellow foliage and dead flower buds is false' is true.", 'Assuming tropical cyclones are among the most destructive natural phenomena, we know that if courage is the major status trait among the Indian warriors, then the claim that warmer temperatures result in yellow foliage and dead flower buds is false.', 'It is the case that tropical cyclones are among the most destructive natural phenomena.']
|
One may reasonably assume that if carbohydrates are one of the main sources of energy for working muscles, then either oyster mushrooms have a delicate, mild flavor and velvety texture or spider plants have stolons. We know that at least one of two things is true: some insulin resistance produces urine, or if guys see hot girls, then leaves also contain yellow pigments called carotenoids. We know that the claim that some insulin resistance produces urine is false. We know that either warmer temperatures result in yellow foliage and dead flower buds or if if guys see hot girls, then leaves also contain yellow pigments called carotenoids, then carbohydrates are one of the main sources of energy for working muscles. Either one or both of these statements are true: courage is the major status trait among the Indian warriors, or every age is an age of transition. So long as every age is an age of transition, 'the claim that warmer temperatures result in yellow foliage and dead flower buds is false' is true. Assuming tropical cyclones are among the most destructive natural phenomena, we know that if courage is the major status trait among the Indian warriors, then the claim that warmer temperatures result in yellow foliage and dead flower buds is false. It is the case that tropical cyclones are among the most destructive natural phenomena.
|
We know that either oyster mushrooms have a delicate, mild flavor and velvety texture or spider plants have stolons.
|
There is good reason to believe that either some oyster mushrooms grow on dead wood or spider plants prefer bright, indirect light.
|
Uncertain
|
Modus Ponens:
If (If [2], then [3].), then (Either [0] or [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [5]. [SC1-2]
If [5], then (Either [0] or [1].).
Therefore, If (If [2], then [3].), then (Either [0] or [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (If [2], then [3].), then [5].).
Not [6]. [SC2-3]
Therefore, If (If [2], then [3].), then [5]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].). [SC2-4]
If [8], then (Not [6].).
Therefore, Not [6]..
[SC2-4]
Modus Ponens:
If [9], then (If [7], then (Not [6].).).
[9]
Therefore, If [7], then (Not [6].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [2], then [3].).
Not [4].
Therefore, If [2], then [3]..
|
{0: 'Oyster mushrooms have a delicate, mild flavor and velvety texture.', 1: 'Spider plants have stolons.', 2: 'Guys see hot girls.', 3: 'Leaves also contain yellow pigments called carotenoids.', 4: 'Some insulin resistance produces urine.', 5: 'Carbohydrates are one of the main sources of energy for working muscles.', 6: 'Warmer temperatures result in yellow foliage and dead flower buds.', 7: 'Courage is the major status trait among the Indian warriors.', 8: 'Every age is an age of transition.', 9: 'Tropical cyclones are among the most destructive natural phenomena.'}
| 6 |
5,355 |
['Once we know those that suggest if many cultures color the body in some way, then deep cuts can severely damage underlying nerves and tendons, or they can leave scars are wrong, we also know that most hollies have common characteristics.', 'The claim that most hollies have common characteristics has no merit.', 'Once we know those that suggest if many cultures color the body in some way, then it is a common misconception that deep cuts can severely damage underlying nerves and tendons, or they can leave scars are wrong, we also know that medication can decrease the frequency of sleep attacks.', 'On the condition that medication can decrease the frequency of sleep attacks, it is definitely the case that it is not true that discussion groups are a popular method of sharing information.', "Whenever it is true that most animals eat plants, 'if medication can decrease the frequency of sleep attacks, then discussion groups are a popular method of sharing information' is true.", 'At least one of two things is true: bonds are legal investments and legal securities, or most animals eat plants.', 'We know that the claim that bonds are legal investments and legal securities is false.']
|
Once we know those that suggest if many cultures color the body in some way, then deep cuts can severely damage underlying nerves and tendons, or they can leave scars are wrong, we also know that most hollies have common characteristics. The claim that most hollies have common characteristics has no merit. Once we know those that suggest if many cultures color the body in some way, then it is a common misconception that deep cuts can severely damage underlying nerves and tendons, or they can leave scars are wrong, we also know that medication can decrease the frequency of sleep attacks. On the condition that medication can decrease the frequency of sleep attacks, it is definitely the case that it is not true that discussion groups are a popular method of sharing information. Whenever it is true that most animals eat plants, 'if medication can decrease the frequency of sleep attacks, then discussion groups are a popular method of sharing information' is true. At least one of two things is true: bonds are legal investments and legal securities, or most animals eat plants. We know that the claim that bonds are legal investments and legal securities is false.
|
The claim that many cultures color the body in some way does not correspond with reality.
|
The claim that many cultures color the body in some way does not correspond with reality.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [3].
Not [3].
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then [2].
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [5], then (If [2], then [4].).
[5] [SC2-4]
Therefore, If [2], then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
|
{0: 'Many cultures color the body in some way.', 1: 'Deep cuts can severely damage underlying nerves and tendons, or they can leave scars.', 2: 'Medication can decrease the frequency of sleep attacks.', 3: 'Most hollies have common characteristics.', 4: 'Discussion groups are a popular method of sharing information.', 5: 'Most animals eat plants.', 6: 'Bonds are legal investments and legal securities.'}
| 6 |
5,877 |
["Whenever it is true that material is radioactive, 'if some Egyptian hieroglyphs are picture writing, then we know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false' is true.", 'Once we know madagascar is part of Africa, we also know that if some Egyptian hieroglyphs are picture writing, then we know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false.', "Whenever it is true that the statement that states some Egyptian hieroglyphs are picture writing is false, 'if lions greet whenever they meet after being separated or upon waking, then peripheral equipment is that which can be added to the computer' is true.", 'If the statement that states some Egyptian hieroglyphs are picture writing is false, then the claim that if lions greet whenever they meet after being separated or upon waking, then peripheral equipment is that which can be added to the computer is false.', 'It is a fact that either religion is and always has been a tool for mass population control or firearms are necessary tools for the citizens of a free society.', 'It is rational to believe that either either municipal tax is the smallest levy or antlions are beneficial to man because of their ant diet and they cause no problems or experiments suggest advantage.', "So long as either municipal tax is the smallest levy or antlions are beneficial to man because of their ant diet and they cause no problems, 'if religion is and always has been a tool for mass population control, then either material is radioactive or madagascar is part of Africa' is true.", 'On the condition that experiments suggest advantage, it is definitely the case that if religion is and always has been a tool for mass population control, then either material is radioactive or madagascar is part of Africa.', 'When firearms are necessary tools for the citizens of a free society is true, it follows that books can be educational tools that form a foundation for understanding daily living.', 'Provided that books can be educational tools that form a foundation for understanding daily living, we know that either material is radioactive or madagascar is part of Africa.']
|
Whenever it is true that material is radioactive, 'if some Egyptian hieroglyphs are picture writing, then we know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false' is true. Once we know madagascar is part of Africa, we also know that if some Egyptian hieroglyphs are picture writing, then we know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false. Whenever it is true that the statement that states some Egyptian hieroglyphs are picture writing is false, 'if lions greet whenever they meet after being separated or upon waking, then peripheral equipment is that which can be added to the computer' is true. If the statement that states some Egyptian hieroglyphs are picture writing is false, then the claim that if lions greet whenever they meet after being separated or upon waking, then peripheral equipment is that which can be added to the computer is false. It is a fact that either religion is and always has been a tool for mass population control or firearms are necessary tools for the citizens of a free society. It is rational to believe that either either municipal tax is the smallest levy or antlions are beneficial to man because of their ant diet and they cause no problems or experiments suggest advantage. So long as either municipal tax is the smallest levy or antlions are beneficial to man because of their ant diet and they cause no problems, 'if religion is and always has been a tool for mass population control, then either material is radioactive or madagascar is part of Africa' is true. On the condition that experiments suggest advantage, it is definitely the case that if religion is and always has been a tool for mass population control, then either material is radioactive or madagascar is part of Africa. When firearms are necessary tools for the citizens of a free society is true, it follows that books can be educational tools that form a foundation for understanding daily living. Provided that books can be educational tools that form a foundation for understanding daily living, we know that either material is radioactive or madagascar is part of Africa.
|
We know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false.
|
We know that the claim that naming rights are a popular way to honor or memorialize their family, friend, mentor or pet is false.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].). [SC2-3]
If [7], then (Either [4] or [5].). [SC3-3]
Therefore, Either [4] or [5]..
[SC2-3]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If [6], then (Either [4] or [5].).).
If [11], then (If [6], then (Either [4] or [5].).).
Therefore, If [6], then (Either [4] or [5].)..
[SC3-3]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (Either [4] or [5].).
Therefore, If [7], then (Either [4] or [5].)..
[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: 'Naming rights are a popular way to honor or memorialize their family, friend, mentor or pet.', 1: 'Some Egyptian hieroglyphs are picture writing.', 2: 'Lions greet whenever they meet after being separated or upon waking.', 3: 'Peripheral equipment is that which can be added to the computer.', 4: 'Material is radioactive.', 5: 'Madagascar is part of Africa.', 6: 'Religion is and always has been a tool for mass population control.', 7: 'Firearms are necessary tools for the citizens of a free society.', 8: 'Books can be educational tools that form a foundation for understanding daily living.', 9: 'Municipal tax is the smallest levy.', 10: 'Antlions are beneficial to man because of their ant diet and they cause no problems.', 11: 'Experiments suggest advantage.'}
| 6 |
5,768 |
['The statement, sunspots are storms that appear as dark marks on the sun, does not hold.', 'Assuming it is not true that if life is the journey of a spiritual being, the soul, that comes to heal old wounds, then most omnivores eat healthy balance diets, we know that it is not true that signals also have a property called wavelength , which is inversely proportional to the frequency.', 'Assuming lenders consider people who stay in their jobs for a long time to be less risky borrowers, we know that golden lion tamarins have molar teeth.', 'On the condition that golden lion tamarins have molar teeth, it is definitely the case that most omnivores eat healthy balance diets.', 'It is a fact that either if enzymes are highly substrate specific, then some marine flatworms can live indefinitely or if bees collect nectar, which contains carbohydrates, from flowers and take it back to their hive, then currents exist as surface currents and vertical currents.', 'If if enzymes are highly substrate specific, then some marine flatworms can live indefinitely, then if those that suggest either life is the journey of a spiritual being, the soul, that comes to heal old wounds or lenders consider people who stay in their jobs for a long time to be less risky borrowers are wrong, then sunspots are storms that appear as dark marks on the sun.', 'Given that if bees collect nectar, which contains carbohydrates, from flowers and take it back to their hive, then currents exist as surface currents and vertical currents, it can be inferred that if those that suggest either life is the journey of a spiritual being, the soul, that comes to heal old wounds or lenders consider people who stay in their jobs for a long time to be less risky borrowers are wrong, then sunspots are storms that appear as dark marks on the sun.', 'If it is not true that if life is the journey of a spiritual being, the soul, that comes to heal old wounds, then most omnivores eat healthy balance diets, then risk taking As risk is spread out among more people, the more people are willing to take risks.', "So long as risk taking As risk is spread out among more people, the more people are willing to take risks, 'signals also have a property called wavelength , which is inversely proportional to the frequency' is true."]
|
The statement, sunspots are storms that appear as dark marks on the sun, does not hold. Assuming it is not true that if life is the journey of a spiritual being, the soul, that comes to heal old wounds, then most omnivores eat healthy balance diets, we know that it is not true that signals also have a property called wavelength , which is inversely proportional to the frequency. Assuming lenders consider people who stay in their jobs for a long time to be less risky borrowers, we know that golden lion tamarins have molar teeth. On the condition that golden lion tamarins have molar teeth, it is definitely the case that most omnivores eat healthy balance diets. It is a fact that either if enzymes are highly substrate specific, then some marine flatworms can live indefinitely or if bees collect nectar, which contains carbohydrates, from flowers and take it back to their hive, then currents exist as surface currents and vertical currents. If if enzymes are highly substrate specific, then some marine flatworms can live indefinitely, then if those that suggest either life is the journey of a spiritual being, the soul, that comes to heal old wounds or lenders consider people who stay in their jobs for a long time to be less risky borrowers are wrong, then sunspots are storms that appear as dark marks on the sun. Given that if bees collect nectar, which contains carbohydrates, from flowers and take it back to their hive, then currents exist as surface currents and vertical currents, it can be inferred that if those that suggest either life is the journey of a spiritual being, the soul, that comes to heal old wounds or lenders consider people who stay in their jobs for a long time to be less risky borrowers are wrong, then sunspots are storms that appear as dark marks on the sun. If it is not true that if life is the journey of a spiritual being, the soul, that comes to heal old wounds, then most omnivores eat healthy balance diets, then risk taking As risk is spread out among more people, the more people are willing to take risks. So long as risk taking As risk is spread out among more people, the more people are willing to take risks, 'signals also have a property called wavelength , which is inversely proportional to the frequency' is true.
|
It is reasonable to believe that most omnivores eat healthy balance diets.
|
Some people mistakenly believe that most omnivores eat healthy balance diets.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
Not [3].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either (If [7], then [8].) or (If [9], then [10].).
If (If [7], then [8].), then (If (Not (Either [1] or [2].).), then [3].).
If (If [9], then [10].), then (If (Not (Either [1] or [2].).), then [3].).
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [5]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [5].).
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then [0].).), then [6].
If [6], then [5].
Therefore, If (Not (If [1], then [0].).), then [5]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0].
Therefore, If [2], then [0]..
|
{0: 'Most omnivores eat healthy balance diets.', 1: 'Life is the journey of a spiritual being, the soul, that comes to heal old wounds.', 2: 'Lenders consider people who stay in their jobs for a long time to be less risky borrowers.', 3: 'Sunspots are storms that appear as dark marks on the sun.', 4: 'Golden lion tamarins have molar teeth.', 5: 'Signals also have a property called wavelength , which is inversely proportional to the frequency.', 6: 'Risk taking As risk is spread out among more people, the more people are willing to take risks.', 7: 'Enzymes are highly substrate specific.', 8: 'Some marine flatworms can live indefinitely.', 9: 'Bees collect nectar, which contains carbohydrates, from flowers and take it back to their hive.', 10: 'Currents exist as surface currents and vertical currents.'}
| 6 |
5,836 |
['We know that at least one of two things is true: some lymphatic vessels become blood, or either either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance or either cormorants swim underwater, chasing after their prey or b cells develope into plasma cells that produce y shaped antibodies which attach to antigens.', 'Some people mistakenly believe that some lymphatic vessels become blood.', 'Should it be the case that the claim that if either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong has no merit, it follows that some people mistakenly believe that water has a density of about .', 'Either carpenter ants have thoraxes or if either cormorants swim underwater, chasing after their prey or b cells develope into plasma cells that produce y shaped antibodies which attach to antigens, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong.', 'The statement, carpenter ants have thoraxes, does not hold.', 'When veterinarians now have a product capable of killing the fleas as they bite the animal host is true, it follows that if the claim that if either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong has no merit, then water has a density of about .', 'Provided that it is not the case that veterinarians now have a product capable of killing the fleas as they bite the animal host , we know that creatine is a naturally occurring compound produced in our bodies.', 'Assuming it is not the case that veterinarians now have a product capable of killing the fleas as they bite the animal host , we know that the claim that creatine is a naturally occurring compound produced in our bodies has no merit.']
|
We know that at least one of two things is true: some lymphatic vessels become blood, or either either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance or either cormorants swim underwater, chasing after their prey or b cells develope into plasma cells that produce y shaped antibodies which attach to antigens. Some people mistakenly believe that some lymphatic vessels become blood. Should it be the case that the claim that if either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong has no merit, it follows that some people mistakenly believe that water has a density of about . Either carpenter ants have thoraxes or if either cormorants swim underwater, chasing after their prey or b cells develope into plasma cells that produce y shaped antibodies which attach to antigens, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong. The statement, carpenter ants have thoraxes, does not hold. When veterinarians now have a product capable of killing the fleas as they bite the animal host is true, it follows that if the claim that if either febrile seizures is known to aggregate in families or numbats have several adaptations for predator avoidance, then those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong has no merit, then water has a density of about . Provided that it is not the case that veterinarians now have a product capable of killing the fleas as they bite the animal host , we know that creatine is a naturally occurring compound produced in our bodies. Assuming it is not the case that veterinarians now have a product capable of killing the fleas as they bite the animal host , we know that the claim that creatine is a naturally occurring compound produced in our bodies has no merit.
|
Those that suggest athletes use steroids because they promote muscle growth and they are used by men and women are wrong.
|
Athletes use steroids because they promote muscle growth and they are used by men and women.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or (Either [3] or [4].). [SC1-1]
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If (Either [3] or [4].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either (Either [1] or [2].) or (Either [3] or [4].).).
Not [5].
Therefore, Either (Either [1] or [2].) or (Either [3] or [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then (Not [0].).).), then [6]. [SC1-2]
If (Not (If (Either [1] or [2].), then (Not [0].).).), then (Not [6].).
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC1-2]
Modus Ponens:
If [8], then (If (Not (If (Either [1] or [2].), then (Not [0].).).), then [6].).
[8] [SC2-3]
Therefore, If (Not (If (Either [1] or [2].), then (Not [0].).).), then [6]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [8].), then [9].
If (Not [8].), then (Not [9].).
Therefore, [8].
[SC3-1]
Disjunctive Syllogism:
Either [7] or (If (Either [3] or [4].), then (Not [0].).).
Not [7].
Therefore, If (Either [3] or [4].), then (Not [0].)..
|
{0: 'Athletes use steroids because they promote muscle growth and they are used by men and women.', 1: 'Febrile seizures is known to aggregate in families.', 2: 'Numbats have several adaptations for predator avoidance.', 3: 'Cormorants swim underwater, chasing after their prey.', 4: 'B cells develope into plasma cells that produce y shaped antibodies which attach to antigens.', 5: 'Some lymphatic vessels become blood.', 6: 'Water has a density of about .', 7: 'Carpenter ants have thoraxes.', 8: 'Veterinarians now have a product capable of killing the fleas as they bite the animal host .', 9: 'Creatine is a naturally occurring compound produced in our bodies.'}
| 6 |
5,561 |
['Once we know the claim that aerosols also have an important relationship to ozone does not reflect reality, we also know that either watches are important for work and play or geysers shoot out from under the ground.', 'Once we know malnourishment is still an issue in some countries of the region, we also know that it is not the case that either watches are important for work and play or geysers shoot out from under the ground.', "Whenever it is true that black bodies are capable of absorbing and emitting radiation at all wavelengths, 'it is not the case that either watches are important for work and play or geysers shoot out from under the ground' is true.", 'Given that slick research says fluids slip on solids, depending on speed , it can be inferred that malnourishment is still an issue in some countries of the region.', 'At least one of two things is true: if most negative bacteria have germination, then education can be a route out of poverty in any society, or aphids can cause leaf yellowing, leaf drop, stunting and seedling deaths.', 'One may reasonably assume that if if most negative bacteria have germination, then education can be a route out of poverty in any society, then slick research says fluids slip on solids, depending on speed .', "So long as aphids can cause leaf yellowing, leaf drop, stunting and seedling deaths, 'catalase catalyzes the reduction of hydrogen peroxide into oxygen and water' is true.", 'Either one or both of these statements are true: automobiles are a known non-point source of air borne NOx emissions, or if catalase catalyzes the reduction of hydrogen peroxide into oxygen and water, then black bodies are capable of absorbing and emitting radiation at all wavelengths.', 'If automobiles are a known non-point source of air borne NOx emissions, then herons stand on waterways.', "Whenever it is true that automobiles are a known non-point source of air borne NOx emissions, 'the statement 'herons stand on waterways' can be considered false' is true."]
|
Once we know the claim that aerosols also have an important relationship to ozone does not reflect reality, we also know that either watches are important for work and play or geysers shoot out from under the ground. Once we know malnourishment is still an issue in some countries of the region, we also know that it is not the case that either watches are important for work and play or geysers shoot out from under the ground. Whenever it is true that black bodies are capable of absorbing and emitting radiation at all wavelengths, 'it is not the case that either watches are important for work and play or geysers shoot out from under the ground' is true. Given that slick research says fluids slip on solids, depending on speed , it can be inferred that malnourishment is still an issue in some countries of the region. At least one of two things is true: if most negative bacteria have germination, then education can be a route out of poverty in any society, or aphids can cause leaf yellowing, leaf drop, stunting and seedling deaths. One may reasonably assume that if if most negative bacteria have germination, then education can be a route out of poverty in any society, then slick research says fluids slip on solids, depending on speed . So long as aphids can cause leaf yellowing, leaf drop, stunting and seedling deaths, 'catalase catalyzes the reduction of hydrogen peroxide into oxygen and water' is true. Either one or both of these statements are true: automobiles are a known non-point source of air borne NOx emissions, or if catalase catalyzes the reduction of hydrogen peroxide into oxygen and water, then black bodies are capable of absorbing and emitting radiation at all wavelengths. If automobiles are a known non-point source of air borne NOx emissions, then herons stand on waterways. Whenever it is true that automobiles are a known non-point source of air borne NOx emissions, 'the statement 'herons stand on waterways' can be considered false' is true.
|
The claim that aerosols also have an important relationship to ozone is true.
|
The claim that aerosols also have an important relationship to ozone is true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not (Either [1] or [2].).).
If [4], then (Not (Either [1] or [2].).).
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Constructive Dilemma:
Either [5] or [6]. [SC1-3]
If [5], then [3].
If [6], then [4]. [SC3-3]
Therefore, Either [3] or [4]..
[SC1-3]
Constructive Dilemma:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then [5].
If [9], then [6].
Therefore, Either [5] or [6]..
[SC3-3]
Disjunctive Syllogism:
Either [10] or (If [6], then [4].).
Not [10]. [SC2-4]
Therefore, If [6], then [4]..
[SC2-4]
Reductio Ad Absurdum:
If [10], then [11].
If [10], then (Not [11].).
Therefore, Not [10]..
|
{0: 'Aerosols also have an important relationship to ozone.', 1: 'Watches are important for work and play.', 2: 'Geysers shoot out from under the ground.', 3: 'Malnourishment is still an issue in some countries of the region.', 4: 'Black bodies are capable of absorbing and emitting radiation at all wavelengths.', 5: 'Slick research says fluids slip on solids, depending on speed .', 6: 'Catalase catalyzes the reduction of hydrogen peroxide into oxygen and water.', 7: 'Most negative bacteria have germination.', 8: 'Education can be a route out of poverty in any society.', 9: 'Aphids can cause leaf yellowing, leaf drop, stunting and seedling deaths.', 10: 'Automobiles are a known non-point source of air borne NOx emissions.', 11: 'Herons stand on waterways.'}
| 6 |
5,892 |
['We know that at least one of two things is true: thistles have (part) plasma membranes, or bicycle helmets are the best protection against mishaps that cause death or injury.', "Either one or both of these statements are true: either some people act as if they're allergic to money or maple syrup is made from the sweet sap that is stored in the trunk of the sugar maple, or if thistles have (part) plasma membranes, then either rivers overflowing can destroy houses and drown people or t cells are part of what is known as the cancer-immunity cycle.", "The statement 'either some people act as if they're allergic to money or maple syrup is made from the sweet sap that is stored in the trunk of the sugar maple' can be considered false.", 'It is not the case that some tentacles have remarkable capacity.', 'Assuming it is not the case that either some tentacles have remarkable capacity or we know that the claim that either rivers overflowing can destroy houses and drown people or t cells are part of what is known as the cancer-immunity cycle is false, we know that microtubules attach at the kinetochores and the chromosomes begin moving.', 'One may reasonably assume that if microtubules attach at the kinetochores and the chromosomes begin moving, then either construction bonds are a guarantee of good faith or strange attractors exist even in low dimensional systems.', 'The claim that either construction bonds are a guarantee of good faith or strange attractors exist even in low dimensional systems has no merit.']
|
We know that at least one of two things is true: thistles have (part) plasma membranes, or bicycle helmets are the best protection against mishaps that cause death or injury. Either one or both of these statements are true: either some people act as if they're allergic to money or maple syrup is made from the sweet sap that is stored in the trunk of the sugar maple, or if thistles have (part) plasma membranes, then either rivers overflowing can destroy houses and drown people or t cells are part of what is known as the cancer-immunity cycle. The statement 'either some people act as if they're allergic to money or maple syrup is made from the sweet sap that is stored in the trunk of the sugar maple' can be considered false. It is not the case that some tentacles have remarkable capacity. Assuming it is not the case that either some tentacles have remarkable capacity or we know that the claim that either rivers overflowing can destroy houses and drown people or t cells are part of what is known as the cancer-immunity cycle is false, we know that microtubules attach at the kinetochores and the chromosomes begin moving. One may reasonably assume that if microtubules attach at the kinetochores and the chromosomes begin moving, then either construction bonds are a guarantee of good faith or strange attractors exist even in low dimensional systems. The claim that either construction bonds are a guarantee of good faith or strange attractors exist even in low dimensional systems has no merit.
|
The statement that states bicycle helmets are the best protection against mishaps that cause death or injury is right.
|
The statement that states bicycle helmets are the best protection against mishaps that cause death or injury is right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If [1], then (Either [2] or [3].).).
Not (Either [4] or [5].).
Therefore, If [1], then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not (Either [2] or [3].).). [SC1-3]
Not [6].
Therefore, Not (Either [2] or [3].)..
[SC1-3]
Modus Tonens:
If (Not (Either [6] or (Not (Either [2] or [3].).).).), then [7].
Not [7]. [SC2-4]
Therefore, Either [6] or (Not (Either [2] or [3].).)..
[SC2-4]
Modus Tonens:
If [7], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [7]..
|
{0: 'Bicycle helmets are the best protection against mishaps that cause death or injury.', 1: 'Thistles have (part) plasma membranes.', 2: 'Rivers overflowing can destroy houses and drown people.', 3: 'T cells are part of what is known as the cancer-immunity cycle.', 4: "Some people act as if they're allergic to money.", 5: 'Maple syrup is made from the sweet sap that is stored in the trunk of the sugar maple.', 6: 'Some tentacles have remarkable capacity.', 7: 'Microtubules attach at the kinetochores and the chromosomes begin moving.', 8: 'Construction bonds are a guarantee of good faith.', 9: 'Strange attractors exist even in low dimensional systems.'}
| 6 |
5,225 |
['We know that either either regularity is important in feeding or skunks have predators or if vascular permeability results in accumulation, then fuel has drawbacks.', 'There is good reason to believe that either calorie restriction is known to reduce serum glucose and insulin levels or if either regularity is important in feeding or skunks have predators, then refrigerators contain moisture.', 'The statement, calorie restriction is known to reduce serum glucose and insulin levels, does not hold.', "The statement 'underground water is abundant' can be considered false.", 'Either daylight consists of a much more even spread of wavelengths or it is not the case that love is that connection to aliveness.', 'The claim that daylight consists of a much more even spread of wavelengths is false.', 'One may reasonably assume that if those that suggest if it is a common misconception that either love is that connection to aliveness or if if vascular permeability results in accumulation, then fuel has drawbacks, then refrigerators contain moisture, then underground water is abundant are wrong, then regional weather makes differences.', "Whenever it is true that those that suggest if it is a common misconception that either love is that connection to aliveness or if if vascular permeability results in accumulation, then fuel has drawbacks, then refrigerators contain moisture, then underground water is abundant are wrong, 'some people mistakenly believe that regional weather makes differences' is true."]
|
We know that either either regularity is important in feeding or skunks have predators or if vascular permeability results in accumulation, then fuel has drawbacks. There is good reason to believe that either calorie restriction is known to reduce serum glucose and insulin levels or if either regularity is important in feeding or skunks have predators, then refrigerators contain moisture. The statement, calorie restriction is known to reduce serum glucose and insulin levels, does not hold. The statement 'underground water is abundant' can be considered false. Either daylight consists of a much more even spread of wavelengths or it is not the case that love is that connection to aliveness. The claim that daylight consists of a much more even spread of wavelengths is false. One may reasonably assume that if those that suggest if it is a common misconception that either love is that connection to aliveness or if if vascular permeability results in accumulation, then fuel has drawbacks, then refrigerators contain moisture, then underground water is abundant are wrong, then regional weather makes differences. Whenever it is true that those that suggest if it is a common misconception that either love is that connection to aliveness or if if vascular permeability results in accumulation, then fuel has drawbacks, then refrigerators contain moisture, then underground water is abundant are wrong, 'some people mistakenly believe that regional weather makes differences' is true.
|
Many people rightly believe that refrigerators contain moisture.
|
Many people rightly believe that refrigerators contain moisture.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or (If [3], then [4].).
If (Either [1] or [2].), then [0]. [SC2-1]
If (If [3], then [4].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If (Either [1] or [2].), then [0].).
Not [6].
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [5] or (If (If [3], then [4].), then [0].). [SC1-2]
Not [5]. [SC2-2]
Therefore, If (If [3], then [4].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or (If (If [3], then [4].), then [0].).).), then [8]. [SC1-3]
Not [8].
Therefore, Either [5] or (If (If [3], then [4].), then [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [5] or (If (If [3], then [4].), then [0].).).), then [8].).), then [9].
If (Not (If (Not (Either [5] or (If (If [3], then [4].), then [0].).).), then [8].).), then (Not [9].).
Therefore, If (Not (Either [5] or (If (If [3], then [4].), then [0].).).), then [8]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7].
Therefore, Not [5]..
|
{0: 'Refrigerators contain moisture.', 1: 'Regularity is important in feeding.', 2: 'Skunks have predators.', 3: 'Vascular permeability results in accumulation.', 4: 'Fuel has drawbacks.', 5: 'Love is that connection to aliveness.', 6: 'Calorie restriction is known to reduce serum glucose and insulin levels.', 7: 'Daylight consists of a much more even spread of wavelengths.', 8: 'Underground water is abundant.', 9: 'Regional weather makes differences.'}
| 6 |
5,820 |
['We know that at least one of two things is true: bicycles are used for welding, or inventory is measured in terms of number of areas and total acreage.', 'Either one or both of these statements are true: many protestant churches teach against interethnic marriages, or life cycle asset management requires approaches.', 'One may reasonably assume that if many protestant churches teach against interethnic marriages, then if bicycles are used for welding, then most rattlesnakes have coloration.', 'Once we know life cycle asset management requires approaches, we also know that if bicycles are used for welding, then most rattlesnakes have coloration.', 'We know that at least one of two things is true: either most humans use hands or steeds have (part) piluses, or if inventory is measured in terms of number of areas and total acreage, then most rattlesnakes have coloration.', 'It is a fact that either plants provide benefits or bugles are musical instruments.', "Whenever it is true that plants provide benefits, 'if either most humans use hands or steeds have (part) piluses, then mystery religions take many forms, but all can be traced back to a single origin' is true.", 'When bugles are musical instruments is true, it follows that if either most humans use hands or steeds have (part) piluses, then mystery religions take many forms, but all can be traced back to a single origin.', 'Provided that real worlds are worlds, we know that the claim that mystery religions take many forms, but all can be traced back to a single origin does not correspond with reality.', 'It is fair to say that real worlds are worlds.']
|
We know that at least one of two things is true: bicycles are used for welding, or inventory is measured in terms of number of areas and total acreage. Either one or both of these statements are true: many protestant churches teach against interethnic marriages, or life cycle asset management requires approaches. One may reasonably assume that if many protestant churches teach against interethnic marriages, then if bicycles are used for welding, then most rattlesnakes have coloration. Once we know life cycle asset management requires approaches, we also know that if bicycles are used for welding, then most rattlesnakes have coloration. We know that at least one of two things is true: either most humans use hands or steeds have (part) piluses, or if inventory is measured in terms of number of areas and total acreage, then most rattlesnakes have coloration. It is a fact that either plants provide benefits or bugles are musical instruments. Whenever it is true that plants provide benefits, 'if either most humans use hands or steeds have (part) piluses, then mystery religions take many forms, but all can be traced back to a single origin' is true. When bugles are musical instruments is true, it follows that if either most humans use hands or steeds have (part) piluses, then mystery religions take many forms, but all can be traced back to a single origin. Provided that real worlds are worlds, we know that the claim that mystery religions take many forms, but all can be traced back to a single origin does not correspond with reality. It is fair to say that real worlds are worlds.
|
The statement 'most rattlesnakes have coloration' can be considered true.
|
Rattlesnakes are probably the most widely known venomous snakes in North America.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [0].).
If [4], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [2], then [0].).
Not (Either [5] or [6].). [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Tonens:
If (Either [5] or [6].), then [7]. [SC1-3]
Not [7]. [SC2-3]
Therefore, Not (Either [5] or [6].)..
[SC1-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Either [5] or [6].), then [7].).
If [9], then (If (Either [5] or [6].), then [7].).
Therefore, If (Either [5] or [6].), then [7]..
[SC2-3]
Modus Ponens:
If [10], then (Not [7].).
[10]
Therefore, Not [7]..
|
{0: 'Most rattlesnakes have coloration.', 1: 'Bicycles are used for welding.', 2: 'Inventory is measured in terms of number of areas and total acreage.', 3: 'Many protestant churches teach against interethnic marriages.', 4: 'Life cycle asset management requires approaches.', 5: 'Most humans use hands.', 6: 'Steeds have (part) piluses.', 7: 'Mystery religions take many forms, but all can be traced back to a single origin.', 8: 'Plants provide benefits.', 9: 'Bugles are musical instruments.', 10: 'Real worlds are worlds.'}
| 6 |
5,369 |
["The statement 'most pollination occurs in springs' is true.", "On the condition that daughters open doors, it is definitely the case that if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then the claim that if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines has no merit.", "If either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then the claim that if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines has no merit.", 'Either love is the movement of life or sAMe is present in every cell of the body.', "Whenever it is true that love is the movement of life, 'if most pollination occurs in springs, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines' is true.", "If sAMe is present in every cell of the body, then if most pollination occurs in springs, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines.", 'It is rational to believe that either bobcats range from Canada to Mexico or vegetable gardens have impact.', 'Assuming bobcats range from Canada to Mexico, we know that either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time.', 'At least one of two things is true: underinflated tires run hot because of excessive flexing, or streams are an essential part of all watershed systems.', 'Given that underinflated tires run hot because of excessive flexing, it can be inferred that if vegetable gardens have impact, then either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time.', "So long as streams are an essential part of all watershed systems, 'if vegetable gardens have impact, then either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time' is true."]
|
The statement 'most pollination occurs in springs' is true. On the condition that daughters open doors, it is definitely the case that if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then the claim that if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines has no merit. If either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then the claim that if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines has no merit. Either love is the movement of life or sAMe is present in every cell of the body. Whenever it is true that love is the movement of life, 'if most pollination occurs in springs, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines' is true. If sAMe is present in every cell of the body, then if most pollination occurs in springs, then if the statement that 'if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere' is incorrect, then if liquids are usually the hardest to swallow safely as they slip down quickly, then echidnas have black or brown hair, lighter coloured spines. It is rational to believe that either bobcats range from Canada to Mexico or vegetable gardens have impact. Assuming bobcats range from Canada to Mexico, we know that either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time. At least one of two things is true: underinflated tires run hot because of excessive flexing, or streams are an essential part of all watershed systems. Given that underinflated tires run hot because of excessive flexing, it can be inferred that if vegetable gardens have impact, then either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time. So long as streams are an essential part of all watershed systems, 'if vegetable gardens have impact, then either daughters open doors or either schools are educational resources for parents as well as children or anxiety is a normal part of life, and everybody gets a little bit anxious from time to time' is true.
|
When newsagents have (part) corpi is true, it follows that several processes move carbon from the geosphere to the atmosphere.
|
The statement, if newsagents have (part) corpi, then several processes move carbon from the geosphere to the atmosphere, does not hold.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (If [2], then [3].). [SC1-1]
If (Not (If [0], then [1].).), then (Not (If [2], then [3].).). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).). [SC1-2]
[7]
Therefore, If (Not (If [0], then [1].).), then (If [2], then [3].)..
[SC1-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).).).
If [11], then (If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).).).
Therefore, If [7], then (If (Not (If [0], then [1].).), then (If [2], then [3].).)..
[SC2-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).
If (Either [5] or [6].), then (If (Not (If [0], then [1].).), then (Not (If [2], then [3].).).).
Therefore, If (Not (If [0], then [1].).), then (Not (If [2], then [3].).)..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either [4] or (Either [5] or [6].).).
If [9], then (Either [4] or (Either [5] or [6].).). [SC3-3]
Therefore, Either [4] or (Either [5] or [6].)..
[SC3-3]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If [9], then (Either [4] or (Either [5] or [6].).).).
If [13], then (If [9], then (Either [4] or (Either [5] or [6].).).).
Therefore, If [9], then (Either [4] or (Either [5] or [6].).)..
|
{0: 'Newsagents have (part) corpi.', 1: 'Several processes move carbon from the geosphere to the atmosphere.', 2: 'Liquids are usually the hardest to swallow safely as they slip down quickly.', 3: 'Echidnas have black or brown hair, lighter coloured spines.', 4: 'Daughters open doors.', 5: 'Schools are educational resources for parents as well as children.', 6: 'Anxiety is a normal part of life, and everybody gets a little bit anxious from time to time.', 7: 'Most pollination occurs in springs.', 8: 'Bobcats range from Canada to Mexico.', 9: 'Vegetable gardens have impact.', 10: 'Love is the movement of life.', 11: 'SAMe is present in every cell of the body.', 12: 'Underinflated tires run hot because of excessive flexing.', 13: 'Streams are an essential part of all watershed systems.'}
| 6 |
5,681 |
['Should it be the case that basil lends a distinctive taste to salads, pizza, and pasta dishes, it follows that statutory interpretation is a question of law that is reviewed de novo on appeal.', 'Once we know culture uses resources, we also know that ducks are found in wetlands, marshes, ponds, rivers, lakes and oceans.', 'We know that at least one of two things is true: sanitation is accomplished by house-breaking at an early age, or it is not true that statutory interpretation is a question of law that is reviewed de novo on appeal.', "The statement that 'sanitation is accomplished by house-breaking at an early age' is incorrect.", 'The statement, extensive root rot leads to seedling mortality, does not hold.', 'Provided that airplane food is high in sodium and chemical preservatives, we know that if it is not true that either basil lends a distinctive taste to salads, pizza, and pasta dishes or culture uses resources, then extensive root rot leads to seedling mortality.', 'One may reasonably assume that if coyotes usually hunt alone or in pairs, then if it is not true that either basil lends a distinctive taste to salads, pizza, and pasta dishes or culture uses resources, then extensive root rot leads to seedling mortality.', 'Either pesticides make food safer by preventing the growth of toxin-generating molds or if all Muslim men marry four wives , then libraries are the memory of mankind, the storehouses of all that has been thought.', 'When pesticides make food safer by preventing the growth of toxin-generating molds is true, it follows that airplane food is high in sodium and chemical preservatives.', "So long as if all Muslim men marry four wives , then libraries are the memory of mankind, the storehouses of all that has been thought, 'coyotes usually hunt alone or in pairs' is true."]
|
Should it be the case that basil lends a distinctive taste to salads, pizza, and pasta dishes, it follows that statutory interpretation is a question of law that is reviewed de novo on appeal. Once we know culture uses resources, we also know that ducks are found in wetlands, marshes, ponds, rivers, lakes and oceans. We know that at least one of two things is true: sanitation is accomplished by house-breaking at an early age, or it is not true that statutory interpretation is a question of law that is reviewed de novo on appeal. The statement that 'sanitation is accomplished by house-breaking at an early age' is incorrect. The statement, extensive root rot leads to seedling mortality, does not hold. Provided that airplane food is high in sodium and chemical preservatives, we know that if it is not true that either basil lends a distinctive taste to salads, pizza, and pasta dishes or culture uses resources, then extensive root rot leads to seedling mortality. One may reasonably assume that if coyotes usually hunt alone or in pairs, then if it is not true that either basil lends a distinctive taste to salads, pizza, and pasta dishes or culture uses resources, then extensive root rot leads to seedling mortality. Either pesticides make food safer by preventing the growth of toxin-generating molds or if all Muslim men marry four wives , then libraries are the memory of mankind, the storehouses of all that has been thought. When pesticides make food safer by preventing the growth of toxin-generating molds is true, it follows that airplane food is high in sodium and chemical preservatives. So long as if all Muslim men marry four wives , then libraries are the memory of mankind, the storehouses of all that has been thought, 'coyotes usually hunt alone or in pairs' is true.
|
We can assume that ducks are found in wetlands, marshes, ponds, rivers, lakes and oceans.
|
We can assume that ducks are found in wetlands, marshes, ponds, rivers, lakes and oceans.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [0].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5]. [SC1-3]
Not [5].
Therefore, Either [2] or [3]..
[SC1-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (If (Not (Either [2] or [3].).), then [5].).
If [7], then (If (Not (Either [2] or [3].).), then [5].).
Therefore, If (Not (Either [2] or [3].).), then [5]..
[SC1-4]
Constructive Dilemma:
Either [8] or (If [9], then [10].).
If [8], then [6].
If (If [9], then [10].), then [7].
Therefore, Either [6] or [7]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4].
Therefore, Not [1]..
|
{0: 'Ducks are found in wetlands, marshes, ponds, rivers, lakes and oceans.', 1: 'Statutory interpretation is a question of law that is reviewed de novo on appeal.', 2: 'Basil lends a distinctive taste to salads, pizza, and pasta dishes.', 3: 'Culture uses resources.', 4: 'Sanitation is accomplished by house-breaking at an early age.', 5: 'Extensive root rot leads to seedling mortality.', 6: 'Airplane food is high in sodium and chemical preservatives.', 7: 'Coyotes usually hunt alone or in pairs.', 8: 'Pesticides make food safer by preventing the growth of toxin-generating molds.', 9: 'All Muslim men marry four wives .', 10: 'Libraries are the memory of mankind, the storehouses of all that has been thought.'}
| 6 |
5,339 |
['It is not true that either librarians are active participants in the community or most animals possess enzymes.', "When the claim that if the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, then if tapas are fabric, then sex is one of the pinnacles of creation is false is true, it follows that the notion that 'some children handle pesticide' is untrue.", "Whenever it is true that the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, 'either treatments improve development or some women raise geese' is true.", "So long as either treatments improve development or some women raise geese, 'those that suggest if tapas are fabric, then sex is one of the pinnacles of creation are wrong' is true.", "Whenever it is true that bait includes earthworms, 'if the claim that if the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, then if tapas are fabric, then sex is one of the pinnacles of creation is false, then some children handle pesticide' is true.", 'One may reasonably assume that if collies have good eyesight, then bait includes earthworms.', 'It is the case that collies have good eyesight.']
|
It is not true that either librarians are active participants in the community or most animals possess enzymes. When the claim that if the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, then if tapas are fabric, then sex is one of the pinnacles of creation is false is true, it follows that the notion that 'some children handle pesticide' is untrue. Whenever it is true that the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, 'either treatments improve development or some women raise geese' is true. So long as either treatments improve development or some women raise geese, 'those that suggest if tapas are fabric, then sex is one of the pinnacles of creation are wrong' is true. Whenever it is true that bait includes earthworms, 'if the claim that if the claim that either either librarians are active participants in the community or most animals possess enzymes or capitalism develops spontaneously does not correspond with reality, then if tapas are fabric, then sex is one of the pinnacles of creation is false, then some children handle pesticide' is true. One may reasonably assume that if collies have good eyesight, then bait includes earthworms. It is the case that collies have good eyesight.
|
capitalism develops spontaneously.
|
Those that suggest capitalism develops spontaneously are wrong.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].). [SC1-2]
If (Not (Either (Either [1] or [2].) or [0].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].).).), then [7]. [SC1-3]
If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].).).), then (Not [7].).
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].)..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].).).), then [7].).
[8] [SC2-4]
Therefore, If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then (If [3], then [4].).).), then [7]..
[SC2-4]
Modus Ponens:
If [9], then [8].
[9]
Therefore, [8].
[SC2-2]
Hypothetical Syllogism:
If (Not (Either (Either [1] or [2].) or [0].).), then (Either [5] or [6].).
If (Either [5] or [6].), then (Not (If [3], then [4].).).
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then (Not (If [3], then [4].).)..
|
{0: 'Capitalism develops spontaneously.', 1: 'Librarians are active participants in the community.', 2: 'Most animals possess enzymes.', 3: 'Tapas are fabric.', 4: 'Sex is one of the pinnacles of creation.', 5: 'Treatments improve development.', 6: 'Some women raise geese.', 7: 'Some children handle pesticide.', 8: 'Bait includes earthworms.', 9: 'Collies have good eyesight.'}
| 6 |
5,419 |
['Provided that people are also divided from gods , we know that geologists can measure an earthquake on various scales of intensity and magnitude.', 'Either individuals can also influence leaders because the United States has a civil society or milkweed contains a milky juice that birds find extremely distasteful.', 'Once we know individuals can also influence leaders because the United States has a civil society, we also know that people are also divided from gods .', 'Either one or both of these statements are true: ceramic diffusers contain a votive candle that gently vaporizes essential oils dropped onto water, or if milkweed contains a milky juice that birds find extremely distasteful, then boric acid is probably the most commonly used dust labeled for cockroach control.', 'The claim that ceramic diffusers contain a votive candle that gently vaporizes essential oils dropped onto water has no merit.', 'Once we know either stress can cause headaches, and a tightening of the muscles in the neck, back, and shoulders or olfactory epitheliums contain receptors, we also know that if boric acid is probably the most commonly used dust labeled for cockroach control, then most southern stingrays have strong senses.', 'Either one or both of these statements are true: stress can cause headaches, and a tightening of the muscles in the neck, back, and shoulders, or olfactory epitheliums contain receptors.', 'At least one of two things is true: either most proteins have muscle build effects or probability is the area of mathematics that analyzes the chance of something occurring, or plagiarism is often a failure to use appropriate citation techniques.', 'Assuming either most proteins have muscle build effects or probability is the area of mathematics that analyzes the chance of something occurring, we know that if most southern stingrays have strong senses, then male infertility can have many causes, some that can be treated successfully.', 'Once we know plagiarism is often a failure to use appropriate citation techniques, we also know that if most southern stingrays have strong senses, then male infertility can have many causes, some that can be treated successfully.']
|
Provided that people are also divided from gods , we know that geologists can measure an earthquake on various scales of intensity and magnitude. Either individuals can also influence leaders because the United States has a civil society or milkweed contains a milky juice that birds find extremely distasteful. Once we know individuals can also influence leaders because the United States has a civil society, we also know that people are also divided from gods . Either one or both of these statements are true: ceramic diffusers contain a votive candle that gently vaporizes essential oils dropped onto water, or if milkweed contains a milky juice that birds find extremely distasteful, then boric acid is probably the most commonly used dust labeled for cockroach control. The claim that ceramic diffusers contain a votive candle that gently vaporizes essential oils dropped onto water has no merit. Once we know either stress can cause headaches, and a tightening of the muscles in the neck, back, and shoulders or olfactory epitheliums contain receptors, we also know that if boric acid is probably the most commonly used dust labeled for cockroach control, then most southern stingrays have strong senses. Either one or both of these statements are true: stress can cause headaches, and a tightening of the muscles in the neck, back, and shoulders, or olfactory epitheliums contain receptors. At least one of two things is true: either most proteins have muscle build effects or probability is the area of mathematics that analyzes the chance of something occurring, or plagiarism is often a failure to use appropriate citation techniques. Assuming either most proteins have muscle build effects or probability is the area of mathematics that analyzes the chance of something occurring, we know that if most southern stingrays have strong senses, then male infertility can have many causes, some that can be treated successfully. Once we know plagiarism is often a failure to use appropriate citation techniques, we also know that if most southern stingrays have strong senses, then male infertility can have many causes, some that can be treated successfully.
|
At least one of two things is true: geologists can measure an earthquake on various scales of intensity and magnitude, or male infertility can have many causes, some that can be treated successfully.
|
At least one of two things is true: geologists can measure an earthquake on various scales of intensity and magnitude, or male infertility can have many causes, some that can be treated successfully.
|
TRUE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0].
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then [3]. [SC3-2]
Therefore, Either [2] or [3]..
[SC3-2]
Disjunctive Syllogism:
Either [10] or (If [5], then [3].).
Not [10].
Therefore, If [5], then [3]..
[SC3-1]
Hypothetical Syllogism:
If [3], then [6]. [SC1-2]
If [6], then [1]. [SC2-2]
Therefore, If [3], then [1]..
[SC1-2]
Modus Ponens:
If (Either [11] or [12].), then (If [3], then [6].).
Either [11] or [12].
Therefore, If [3], then [6]..
[SC2-2]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [6], then [1].).
If [9], then (If [6], then [1].).
Therefore, If [6], then [1]..
|
{0: 'Geologists can measure an earthquake on various scales of intensity and magnitude.', 1: 'Male infertility can have many causes, some that can be treated successfully.', 2: 'People are also divided from gods .', 3: 'Boric acid is probably the most commonly used dust labeled for cockroach control.', 4: 'Individuals can also influence leaders because the United States has a civil society.', 5: 'Milkweed contains a milky juice that birds find extremely distasteful.', 6: 'Most southern stingrays have strong senses.', 7: 'Most proteins have muscle build effects.', 8: 'Probability is the area of mathematics that analyzes the chance of something occurring.', 9: 'Plagiarism is often a failure to use appropriate citation techniques.', 10: 'Ceramic diffusers contain a votive candle that gently vaporizes essential oils dropped onto water.', 11: 'Stress can cause headaches, and a tightening of the muscles in the neck, back, and shoulders.', 12: 'Olfactory epitheliums contain receptors.'}
| 6 |
5,829 |
['We know that at least one of two things is true: mine inspectors discover conditions, or light shades represent stronger amplitudes.', 'Should it be the case that it is a common misconception that if if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water, then if either mine inspectors discover conditions or light shades represent stronger amplitudes, then milk is a particularly good source of nutrition for young children, it follows that most cougars kill deer.', 'Either one or both of these statements are true: if chloroquine resistance is widespread in Africa, then swimming is popular in Iceland year round, or assumptions lead to conclusions.', "Whenever it is true that if chloroquine resistance is widespread in Africa, then swimming is popular in Iceland year round, 'if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water' is true.", 'Provided that assumptions lead to conclusions, we know that if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water.', "Whenever it is true that most cougars kill deer, 'it is not true that either guineas have (part) sections or most seeds have outer shells' is true.", "Whenever it is true that most cougars kill deer, 'either crushed ice is also good for both hydration and nausea or groundhogs have chisel-like incisor teeth that enable the animal to gnaw well' is true.", 'On the condition that either crushed ice is also good for both hydration and nausea or groundhogs have chisel-like incisor teeth that enable the animal to gnaw well, it is definitely the case that either guineas have (part) sections or most seeds have outer shells.']
|
We know that at least one of two things is true: mine inspectors discover conditions, or light shades represent stronger amplitudes. Should it be the case that it is a common misconception that if if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water, then if either mine inspectors discover conditions or light shades represent stronger amplitudes, then milk is a particularly good source of nutrition for young children, it follows that most cougars kill deer. Either one or both of these statements are true: if chloroquine resistance is widespread in Africa, then swimming is popular in Iceland year round, or assumptions lead to conclusions. Whenever it is true that if chloroquine resistance is widespread in Africa, then swimming is popular in Iceland year round, 'if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water' is true. Provided that assumptions lead to conclusions, we know that if cockatoos have a group of feathers on top of their heads that they can move, then large brown algas live in water. Whenever it is true that most cougars kill deer, 'it is not true that either guineas have (part) sections or most seeds have outer shells' is true. Whenever it is true that most cougars kill deer, 'either crushed ice is also good for both hydration and nausea or groundhogs have chisel-like incisor teeth that enable the animal to gnaw well' is true. On the condition that either crushed ice is also good for both hydration and nausea or groundhogs have chisel-like incisor teeth that enable the animal to gnaw well, it is definitely the case that either guineas have (part) sections or most seeds have outer shells.
|
We can assume that milk is a particularly good source of nutrition for young children.
|
Milk is a good source of calcium and vitamin D for building children's bones.
|
Uncertain
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If (Either [1] or [2].), then [0].). [SC1-2]
If [3], then [4]. [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (If [3], then [4].), then (If (Either [1] or [2].), then [0].).).), then [8].
Not [8]. [SC2-3]
Therefore, If (If [3], then [4].), then (If (Either [1] or [2].), then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If [8], then (Either [9] or [10].). [SC1-4]
If [8], then (Not (Either [9] or [10].).).
Therefore, Not [8]..
[SC1-4]
Hypothetical Syllogism:
If [8], then (Either [11] or [12].).
If (Either [11] or [12].), then (Either [9] or [10].).
Therefore, If [8], then (Either [9] or [10].)..
[SC2-2]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If [3], then [4].).
If [7], then (If [3], then [4].).
Therefore, If [3], then [4]..
|
{0: 'Milk is a particularly good source of nutrition for young children.', 1: 'Mine inspectors discover conditions.', 2: 'Light shades represent stronger amplitudes.', 3: 'Cockatoos have a group of feathers on top of their heads that they can move.', 4: 'Large brown algas live in water.', 5: 'Chloroquine resistance is widespread in Africa.', 6: 'Swimming is popular in Iceland year round.', 7: 'Assumptions lead to conclusions.', 8: 'Most cougars kill deer.', 9: 'Guineas have (part) sections.', 10: 'Most seeds have outer shells.', 11: 'Crushed ice is also good for both hydration and nausea.', 12: 'Groundhogs have chisel-like incisor teeth that enable the animal to gnaw well.'}
| 6 |
5,951 |
['The claim that reimbursable employers are responsible for withholding and remitting the employee tax holds true.', "Either one or both of these statements are true: chests have (part) lobes, or either fjords are the most dominant factor of the shoreline around Iceland except for the south coast or bacteria are the Earth's most ancient and numerous creatures.", 'Once we know chests have (part) lobes, we also know that some paleontologists use patterns.', "Given that either fjords are the most dominant factor of the shoreline around Iceland except for the south coast or bacteria are the Earth's most ancient and numerous creatures, it can be inferred that some paleontologists use patterns.", 'It is rational to believe that either outright manipulations are the most blatant ways in which photos can lie or man has fashioned ceramics from clay since antiquity.', 'One may reasonably assume that if outright manipulations are the most blatant ways in which photos can lie, then if reimbursable employers are responsible for withholding and remitting the employee tax, then either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness.', 'Once we know man has fashioned ceramics from clay since antiquity, we also know that if reimbursable employers are responsible for withholding and remitting the employee tax, then either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness.', 'It is rational to believe that either sexual orgasm is controlled primarily by the sympathetic division or good humor is the expression of the humility of hope.', 'Assuming sexual orgasm is controlled primarily by the sympathetic division, we know that if either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness, then if some paleontologists use patterns, then plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.', 'Given that good humor is the expression of the humility of hope, it can be inferred that if either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness, then if some paleontologists use patterns, then plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.']
|
The claim that reimbursable employers are responsible for withholding and remitting the employee tax holds true. Either one or both of these statements are true: chests have (part) lobes, or either fjords are the most dominant factor of the shoreline around Iceland except for the south coast or bacteria are the Earth's most ancient and numerous creatures. Once we know chests have (part) lobes, we also know that some paleontologists use patterns. Given that either fjords are the most dominant factor of the shoreline around Iceland except for the south coast or bacteria are the Earth's most ancient and numerous creatures, it can be inferred that some paleontologists use patterns. It is rational to believe that either outright manipulations are the most blatant ways in which photos can lie or man has fashioned ceramics from clay since antiquity. One may reasonably assume that if outright manipulations are the most blatant ways in which photos can lie, then if reimbursable employers are responsible for withholding and remitting the employee tax, then either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness. Once we know man has fashioned ceramics from clay since antiquity, we also know that if reimbursable employers are responsible for withholding and remitting the employee tax, then either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness. It is rational to believe that either sexual orgasm is controlled primarily by the sympathetic division or good humor is the expression of the humility of hope. Assuming sexual orgasm is controlled primarily by the sympathetic division, we know that if either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness, then if some paleontologists use patterns, then plants obtain the primary and secondary nutrients and some micronutrients solely from the soil. Given that good humor is the expression of the humility of hope, it can be inferred that if either legislative intent is the polestar in interpreting the meaning of a statute or honesty is righteousness, then if some paleontologists use patterns, then plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.
|
It is the case that plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.
|
It is not true that plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [2], then (Either [6] or [7].). [SC1-3]
If (Either [6] or [7].), then (If [1], then [0].). [SC2-3]
Therefore, If [2], then (If [1], then [0].)..
[SC1-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If [2], then (Either [6] or [7].).).
If [11], then (If [2], then (Either [6] or [7].).).
Therefore, If [2], then (Either [6] or [7].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Either [6] or [7].), then (If [1], then [0].).).
If [9], then (If (Either [6] or [7].), then (If [1], then [0].).).
Therefore, If (Either [6] or [7].), then (If [1], then [0].)..
[SC2-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then [1].
If (Either [4] or [5].), then [1].
Therefore, [1].
|
{0: 'Plants obtain the primary and secondary nutrients and some micronutrients solely from the soil.', 1: 'Some paleontologists use patterns.', 2: 'Reimbursable employers are responsible for withholding and remitting the employee tax.', 3: 'Chests have (part) lobes.', 4: 'Fjords are the most dominant factor of the shoreline around Iceland except for the south coast.', 5: "Bacteria are the Earth's most ancient and numerous creatures.", 6: 'Legislative intent is the polestar in interpreting the meaning of a statute.', 7: 'Honesty is righteousness.', 8: 'Sexual orgasm is controlled primarily by the sympathetic division.', 9: 'Good humor is the expression of the humility of hope.', 10: 'Outright manipulations are the most blatant ways in which photos can lie.', 11: 'Man has fashioned ceramics from clay since antiquity.'}
| 6 |
5,454 |
['Given that sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest, it can be inferred that either some horns use in medicine or mussels are bivalves.', 'Either policemen have (part) cell membranes or leadership is a process of mutual influence directed at achieving purposeful results.', 'One may reasonably assume that if policemen have (part) cell membranes, then snacks can provide essential nutrients such as carbohydrates.', 'The claim that deer occur in many areas is false.', 'On the condition that those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, it is definitely the case that direct current is created by devices such as batteries and solar panels.', 'Assuming it is not true that if we know that the claim that if snacks can provide essential nutrients such as carbohydrates, then either some horns use in medicine or mussels are bivalves is false, then deer occur in many areas, we know that some people find affected boars improve when they are running with sows or other young boars.', "So long as it is not true that if we know that the claim that if snacks can provide essential nutrients such as carbohydrates, then either some horns use in medicine or mussels are bivalves is false, then deer occur in many areas, 'it is not true that some people find affected boars improve when they are running with sows or other young boars' is true.", 'It is rational to believe that either unilateral deafness is thought to reflect incomplete expression of the defect or temperature affects the platypus in certain ways.', 'If unilateral deafness is thought to reflect incomplete expression of the defect, then if those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, then it is a common misconception that direct current is created by devices such as batteries and solar panels.', 'When temperature affects the platypus in certain ways is true, it follows that if those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, then it is a common misconception that direct current is created by devices such as batteries and solar panels.']
|
Given that sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest, it can be inferred that either some horns use in medicine or mussels are bivalves. Either policemen have (part) cell membranes or leadership is a process of mutual influence directed at achieving purposeful results. One may reasonably assume that if policemen have (part) cell membranes, then snacks can provide essential nutrients such as carbohydrates. The claim that deer occur in many areas is false. On the condition that those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, it is definitely the case that direct current is created by devices such as batteries and solar panels. Assuming it is not true that if we know that the claim that if snacks can provide essential nutrients such as carbohydrates, then either some horns use in medicine or mussels are bivalves is false, then deer occur in many areas, we know that some people find affected boars improve when they are running with sows or other young boars. So long as it is not true that if we know that the claim that if snacks can provide essential nutrients such as carbohydrates, then either some horns use in medicine or mussels are bivalves is false, then deer occur in many areas, 'it is not true that some people find affected boars improve when they are running with sows or other young boars' is true. It is rational to believe that either unilateral deafness is thought to reflect incomplete expression of the defect or temperature affects the platypus in certain ways. If unilateral deafness is thought to reflect incomplete expression of the defect, then if those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, then it is a common misconception that direct current is created by devices such as batteries and solar panels. When temperature affects the platypus in certain ways is true, it follows that if those that suggest if leadership is a process of mutual influence directed at achieving purposeful results, then sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest are wrong, then it is a common misconception that direct current is created by devices such as batteries and solar panels.
|
At least one of two things is true: some horns use in medicine, or mussels are bivalves.
|
At least one of two things is true: some horns use in medicine, or mussels are bivalves.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then [3]. [SC3-2]
Therefore, Either [2] or [3]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then [3].).), then [8].
If (Not (If [5], then [3].).), then (Not [8].). [SC2-3]
Therefore, If [5], then [3]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If [5], then [3].).), then (Not [8].).).
If [10], then (If (Not (If [5], then [3].).), then (Not [8].).).
Therefore, If (Not (If [5], then [3].).), then (Not [8].)..
[SC2-1]
Modus Tonens:
If (Not (If [2], then (Either [0] or [1].).).), then [6]. [SC1-2]
Not [6].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [6].).), then [7].
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [6].).), then (Not [7].).
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [6]..
|
{0: 'Some horns use in medicine.', 1: 'Mussels are bivalves.', 2: 'Snacks can provide essential nutrients such as carbohydrates.', 3: 'Sumatran tigers comprise one of the smaller sub-species, whereas Siberians are the largest.', 4: 'Policemen have (part) cell membranes.', 5: 'Leadership is a process of mutual influence directed at achieving purposeful results.', 6: 'Deer occur in many areas.', 7: 'Some people find affected boars improve when they are running with sows or other young boars.', 8: 'Direct current is created by devices such as batteries and solar panels.', 9: 'Unilateral deafness is thought to reflect incomplete expression of the defect.', 10: 'Temperature affects the platypus in certain ways.'}
| 6 |
5,063 |
["The statement 'fillet steaks are also the premium steak cut from beef' can be considered true.", 'We know that at least one of two things is true: some animals lay eggs while others including human beings give birth to young ones, or either rocks are inanimate or birds eat it.', "Whenever it is true that the claim that if either rocks are inanimate or birds eat it, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard does not reflect reality, 'life is a state of mind' is true.", "Given that the claim that if either rocks are inanimate or birds eat it, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard does not reflect reality, it can be inferred that the statement that 'life is a state of mind' is incorrect.", 'Once we know some people mistakenly believe that either if data management supports information and knowledge management, which facilitate decision-making, then slave isa person or if some animals lay eggs while others including human beings give birth to young ones, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard, we also know that most ungulates have senses.', "The statement 'most ungulates have senses' can be considered false.", 'It is rational to believe that either reduction is the opposite of oxidation or the claim that if data management supports information and knowledge management, which facilitate decision-making, then slave isa person does not reflect reality.', 'The claim that reduction is the opposite of oxidation is false.']
|
The statement 'fillet steaks are also the premium steak cut from beef' can be considered true. We know that at least one of two things is true: some animals lay eggs while others including human beings give birth to young ones, or either rocks are inanimate or birds eat it. Whenever it is true that the claim that if either rocks are inanimate or birds eat it, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard does not reflect reality, 'life is a state of mind' is true. Given that the claim that if either rocks are inanimate or birds eat it, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard does not reflect reality, it can be inferred that the statement that 'life is a state of mind' is incorrect. Once we know some people mistakenly believe that either if data management supports information and knowledge management, which facilitate decision-making, then slave isa person or if some animals lay eggs while others including human beings give birth to young ones, then if fillet steaks are also the premium steak cut from beef, then screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard, we also know that most ungulates have senses. The statement 'most ungulates have senses' can be considered false. It is rational to believe that either reduction is the opposite of oxidation or the claim that if data management supports information and knowledge management, which facilitate decision-making, then slave isa person does not reflect reality. The claim that reduction is the opposite of oxidation is false.
|
It is reasonable to believe that screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard.
|
Screech owls are owls.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].).
If [2], then (If [1], then [0].). [SC2-2]
If (Either [3] or [4].), then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If [2], then (If [1], then [0].).). [SC1-3]
Not (If [6], then [7].). [SC2-3]
Therefore, If [2], then (If [1], then [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either (If [6], then [7].) or (If [2], then (If [1], then [0].).).).), then [8].
Not [8].
Therefore, Either (If [6], then [7].) or (If [2], then (If [1], then [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (Not (If [6], then [7].).).
Not [9].
Therefore, Not (If [6], then [7].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then (If [1], then [0].).).), then [5].
If (Not (If (Either [3] or [4].), then (If [1], then [0].).).), then (Not [5].).
Therefore, If (Either [3] or [4].), then (If [1], then [0].)..
|
{0: 'Screech owls prefer abandoned woodpecker holes at the edge of a field or neglected orchard.', 1: 'Fillet steaks are also the premium steak cut from beef.', 2: 'Some animals lay eggs while others including human beings give birth to young ones.', 3: 'Rocks are inanimate.', 4: 'Birds eat it.', 5: 'Life is a state of mind.', 6: 'Data management supports information and knowledge management, which facilitate decision-making.', 7: 'Slave isa person.', 8: 'Most ungulates have senses.', 9: 'Reduction is the opposite of oxidation.'}
| 6 |
5,759 |
['Once we know investigations require liquid measurements, we also know that a pic is a representation.', 'Provided that most sports build their calendars around the Olympics, we know that a pic is a representation.', 'Assuming the claim that either investigations require liquid measurements or most sports build their calendars around the Olympics is false, we know that many people have problems at an interpersonal level and are unhappy in their relationships .', 'We know that at least one of two things is true: florescent lights run on capacitors that pulse current through the bulb at a certain frequency, or either techniques are developed by engineers or field experiments examine effects.', 'Given that either techniques are developed by engineers or field experiments examine effects, it can be inferred that the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality.', 'Provided that it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, we know that it is not the case that if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks.', 'Given that those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, it can be inferred that an emf is an electrical phenomenon.', 'We know that either if pits are part of plums, then cognition is defined as the skill of dealing with knowledge or freedom means the freedom to choose.', 'Given that if pits are part of plums, then cognition is defined as the skill of dealing with knowledge, it can be inferred that if those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, then the claim that an emf is an electrical phenomenon does not reflect reality.', 'Once we know freedom means the freedom to choose, we also know that if those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, then the claim that an emf is an electrical phenomenon does not reflect reality.']
|
Once we know investigations require liquid measurements, we also know that a pic is a representation. Provided that most sports build their calendars around the Olympics, we know that a pic is a representation. Assuming the claim that either investigations require liquid measurements or most sports build their calendars around the Olympics is false, we know that many people have problems at an interpersonal level and are unhappy in their relationships . We know that at least one of two things is true: florescent lights run on capacitors that pulse current through the bulb at a certain frequency, or either techniques are developed by engineers or field experiments examine effects. Given that either techniques are developed by engineers or field experiments examine effects, it can be inferred that the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality. Provided that it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, we know that it is not the case that if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks. Given that those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, it can be inferred that an emf is an electrical phenomenon. We know that either if pits are part of plums, then cognition is defined as the skill of dealing with knowledge or freedom means the freedom to choose. Given that if pits are part of plums, then cognition is defined as the skill of dealing with knowledge, it can be inferred that if those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, then the claim that an emf is an electrical phenomenon does not reflect reality. Once we know freedom means the freedom to choose, we also know that if those that suggest if it is not true that if florescent lights run on capacitors that pulse current through the bulb at a certain frequency, then the claim that many people have problems at an interpersonal level and are unhappy in their relationships does not correspond with reality, then if japanese beads are more consistent in size, and usually have more durable finishes, then postal clerks are clerks are wrong, then the claim that an emf is an electrical phenomenon does not reflect reality.
|
The statement 'a pic is a representation' can be considered true.
|
The statement 'a pic is a representation' can be considered true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3].
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not [3].). [SC2-3]
If (Either [5] or [6].), then (Not [3].).
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Not [3].).).), then (If [7], then [8].). [SC1-4]
If (Not (If [4], then (Not [3].).).), then (Not (If [7], then [8].).).
Therefore, If [4], then (Not [3].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [4], then (Not [3].).).), then (If [7], then [8].).).), then [9].
If (Not (If (Not (If [4], then (Not [3].).).), then (If [7], then [8].).).), then (Not [9].). [SC2-5]
Therefore, If (Not (If [4], then (Not [3].).).), then (If [7], then [8].)..
[SC2-5]
Disjunction Elimination:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then (If (Not (If (Not (If [4], then (Not [3].).).), then (If [7], then [8].).).), then (Not [9].).).
If [12], then (If (Not (If (Not (If [4], then (Not [3].).).), then (If [7], then [8].).).), then (Not [9].).).
Therefore, If (Not (If (Not (If [4], then (Not [3].).).), then (If [7], then [8].).).), then (Not [9].)..
|
{0: 'A pic is a representation.', 1: 'Investigations require liquid measurements.', 2: 'Most sports build their calendars around the Olympics.', 3: 'Many people have problems at an interpersonal level and are unhappy in their relationships .', 4: 'Florescent lights run on capacitors that pulse current through the bulb at a certain frequency.', 5: 'Techniques are developed by engineers.', 6: 'Field experiments examine effects.', 7: 'Japanese beads are more consistent in size, and usually have more durable finishes.', 8: 'Postal clerks are clerks.', 9: 'An emf is an electrical phenomenon.', 10: 'Pits are part of plums.', 11: 'Cognition is defined as the skill of dealing with knowledge.', 12: 'Freedom means the freedom to choose.'}
| 6 |
5,360 |
['Provided that vetiver grass can grow almost anywhere, we know that bats are one of the most misunderstood animals on earth.', 'One may reasonably assume that if chalkboards can be black or dark green, also called blackboards and greenboards, then if vetiver grass can grow almost anywhere, then the claim that bats are one of the most misunderstood animals on earth does not reflect reality.', "Whenever it is true that domestic violence is the extreme expression of the belief in male dominance over women, 'chalkboards can be black or dark green, also called blackboards and greenboards' is true.", 'If waves carry energy from place to place and can also transmit information, then domestic violence is the extreme expression of the belief in male dominance over women.', 'Assuming most spherical grain has small circular pores, we know that domestic violence is the extreme expression of the belief in male dominance over women.', 'The claim that either electrical wire has low resistance or resolution refers to the number of pixels per inch or the number of pixels per centimeter is false.', 'There is good reason to believe that either men can also have an artificial testicle, called a prosthesis, placed in the scrotum or many traits are determined by the function of more than one gene.', "Whenever it is true that men can also have an artificial testicle, called a prosthesis, placed in the scrotum, 'either electrical wire has low resistance or resolution refers to the number of pixels per inch or the number of pixels per centimeter' is true.", 'Assuming many traits are determined by the function of more than one gene, we know that either waves carry energy from place to place and can also transmit information or most spherical grain has small circular pores.']
|
Provided that vetiver grass can grow almost anywhere, we know that bats are one of the most misunderstood animals on earth. One may reasonably assume that if chalkboards can be black or dark green, also called blackboards and greenboards, then if vetiver grass can grow almost anywhere, then the claim that bats are one of the most misunderstood animals on earth does not reflect reality. Whenever it is true that domestic violence is the extreme expression of the belief in male dominance over women, 'chalkboards can be black or dark green, also called blackboards and greenboards' is true. If waves carry energy from place to place and can also transmit information, then domestic violence is the extreme expression of the belief in male dominance over women. Assuming most spherical grain has small circular pores, we know that domestic violence is the extreme expression of the belief in male dominance over women. The claim that either electrical wire has low resistance or resolution refers to the number of pixels per inch or the number of pixels per centimeter is false. There is good reason to believe that either men can also have an artificial testicle, called a prosthesis, placed in the scrotum or many traits are determined by the function of more than one gene. Whenever it is true that men can also have an artificial testicle, called a prosthesis, placed in the scrotum, 'either electrical wire has low resistance or resolution refers to the number of pixels per inch or the number of pixels per centimeter' is true. Assuming many traits are determined by the function of more than one gene, we know that either waves carry energy from place to place and can also transmit information or most spherical grain has small circular pores.
|
The statement that states vetiver grass can grow almost anywhere is false.
|
The statement that states vetiver grass can grow almost anywhere is false.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (If [0], then (Not [1].).).
[2] [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [3], then [2].
[3] [SC2-3]
Therefore, [2].
[SC2-3]
Disjunction Elimination:
Either [4] or [5]. [SC1-4]
If [4], then [3].
If [5], then [3].
Therefore, [3].
[SC1-4]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Either [4] or [5].). [SC1-5]
Not (Either [6] or [7].).
Therefore, Either [4] or [5]..
[SC1-5]
Constructive Dilemma:
Either [8] or [9].
If [8], then (Either [6] or [7].).
If [9], then (Either [4] or [5].).
Therefore, Either (Either [6] or [7].) or (Either [4] or [5].)..
|
{0: 'Vetiver grass can grow almost anywhere.', 1: 'Bats are one of the most misunderstood animals on earth.', 2: 'Chalkboards can be black or dark green, also called blackboards and greenboards.', 3: 'Domestic violence is the extreme expression of the belief in male dominance over women.', 4: 'Waves carry energy from place to place and can also transmit information.', 5: 'Most spherical grain has small circular pores.', 6: 'Electrical wire has low resistance.', 7: 'Resolution refers to the number of pixels per inch or the number of pixels per centimeter.', 8: 'Men can also have an artificial testicle, called a prosthesis, placed in the scrotum.', 9: 'Many traits are determined by the function of more than one gene.'}
| 6 |
5,237 |
['Assuming fat distribution is different also in women and men, we know that it is not the case that doors are located in buildings.', 'Given that it is not true that either tamarins eat small fruits, insects, and occasionally buds and leaves or camellias are known to have both types of double flowers, it can be inferred that most brains make decisions.', "One may reasonably assume that if it is not true that either tamarins eat small fruits, insects, and occasionally buds and leaves or camellias are known to have both types of double flowers, then the statement 'most brains make decisions' can be considered false.", 'It is not true that essential oils have a chemical structure that is similar to that found in human cells and tissues.', "So long as purses have money, 'if camellias are known to have both types of double flowers, then fat distribution is different also in women and men' is true.", 'The claim that purses have money is true.', 'We know that either if seeds grow into new plants, then carnivorous plants require moist, acidic growing medium, relatively high humidity, and bright light or light waves bend as they pass by the edge of a narrow aperture or slit.', 'Given that if seeds grow into new plants, then carnivorous plants require moist, acidic growing medium, relatively high humidity, and bright light, it can be inferred that either essential oils have a chemical structure that is similar to that found in human cells and tissues or if tamarins eat small fruits, insects, and occasionally buds and leaves, then fat distribution is different also in women and men.', 'One may reasonably assume that if light waves bend as they pass by the edge of a narrow aperture or slit, then either essential oils have a chemical structure that is similar to that found in human cells and tissues or if tamarins eat small fruits, insects, and occasionally buds and leaves, then fat distribution is different also in women and men.']
|
Assuming fat distribution is different also in women and men, we know that it is not the case that doors are located in buildings. Given that it is not true that either tamarins eat small fruits, insects, and occasionally buds and leaves or camellias are known to have both types of double flowers, it can be inferred that most brains make decisions. One may reasonably assume that if it is not true that either tamarins eat small fruits, insects, and occasionally buds and leaves or camellias are known to have both types of double flowers, then the statement 'most brains make decisions' can be considered false. It is not true that essential oils have a chemical structure that is similar to that found in human cells and tissues. So long as purses have money, 'if camellias are known to have both types of double flowers, then fat distribution is different also in women and men' is true. The claim that purses have money is true. We know that either if seeds grow into new plants, then carnivorous plants require moist, acidic growing medium, relatively high humidity, and bright light or light waves bend as they pass by the edge of a narrow aperture or slit. Given that if seeds grow into new plants, then carnivorous plants require moist, acidic growing medium, relatively high humidity, and bright light, it can be inferred that either essential oils have a chemical structure that is similar to that found in human cells and tissues or if tamarins eat small fruits, insects, and occasionally buds and leaves, then fat distribution is different also in women and men. One may reasonably assume that if light waves bend as they pass by the edge of a narrow aperture or slit, then either essential oils have a chemical structure that is similar to that found in human cells and tissues or if tamarins eat small fruits, insects, and occasionally buds and leaves, then fat distribution is different also in women and men.
|
It is not the case that doors are located in buildings.
|
The statement that states doors are also instruments of power is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [4].
If (Not (Either [2] or [3].).), then (Not [4].).
Therefore, Either [2] or [3]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [2], then [1].). [SC1-3]
Not [6].
Therefore, If [2], then [1]..
[SC1-3]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (Either [6] or (If [2], then [1].).).
If [9], then (Either [6] or (If [2], then [1].).).
Therefore, Either [6] or (If [2], then [1].)..
[SC3-2]
Modus Ponens:
If [5], then (If [3], then [1].).
[5]
Therefore, If [3], then [1]..
|
{0: 'Doors are located in buildings.', 1: 'Fat distribution is different also in women and men.', 2: 'Tamarins eat small fruits, insects, and occasionally buds and leaves.', 3: 'Camellias are known to have both types of double flowers.', 4: 'Most brains make decisions.', 5: 'Purses have money.', 6: 'Essential oils have a chemical structure that is similar to that found in human cells and tissues.', 7: 'Seeds grow into new plants.', 8: 'Carnivorous plants require moist, acidic growing medium, relatively high humidity, and bright light.', 9: 'Light waves bend as they pass by the edge of a narrow aperture or slit.'}
| 6 |
5,112 |
['Some people mistakenly believe that butterflies drink nectar.', "Whenever it is true that most bear surfaces have stiffness, 'if those that suggest some termites emerge from holes are wrong, then butterflies drink nectar' is true.", 'Provided that reconnaissance is the gathering of intelligence data, we know that if those that suggest some termites emerge from holes are wrong, then butterflies drink nectar.', "Provided that the claim that if the notion that 'either most bear surfaces have stiffness or reconnaissance is the gathering of intelligence data' is untrue, then if supermodels are models that are at the top of their careers, then some fish have defensive shields is false, we know that marbled godwits breed once per year.", 'Assuming reducers are solutions which remove silver from negatives and prints, we know that it is a common misconception that if supermodels are models that are at the top of their careers, then some fish have defensive shields.', 'It is fair to say that reducers are solutions which remove silver from negatives and prints.', 'When higher concentrations can produce central nervous system depression, narcosis, and unconsciousness is true, it follows that some people mistakenly believe that marbled godwits breed once per year.', 'The statement that states higher concentrations can produce central nervous system depression, narcosis, and unconsciousness is right.']
|
Some people mistakenly believe that butterflies drink nectar. Whenever it is true that most bear surfaces have stiffness, 'if those that suggest some termites emerge from holes are wrong, then butterflies drink nectar' is true. Provided that reconnaissance is the gathering of intelligence data, we know that if those that suggest some termites emerge from holes are wrong, then butterflies drink nectar. Provided that the claim that if the notion that 'either most bear surfaces have stiffness or reconnaissance is the gathering of intelligence data' is untrue, then if supermodels are models that are at the top of their careers, then some fish have defensive shields is false, we know that marbled godwits breed once per year. Assuming reducers are solutions which remove silver from negatives and prints, we know that it is a common misconception that if supermodels are models that are at the top of their careers, then some fish have defensive shields. It is fair to say that reducers are solutions which remove silver from negatives and prints. When higher concentrations can produce central nervous system depression, narcosis, and unconsciousness is true, it follows that some people mistakenly believe that marbled godwits breed once per year. The statement that states higher concentrations can produce central nervous system depression, narcosis, and unconsciousness is right.
|
It is true that some termites emerge from holes.
|
Most termites appear in colonies.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then (If [4], then [5].). [SC1-3]
Not (If [4], then [5].). [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then [7].
Not [7]. [SC2-4]
Therefore, If (Not (Either [2] or [3].).), then (If [4], then [5].)..
[SC2-4]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
[SC2-3]
Modus Ponens:
If [6], then (Not (If [4], then [5].).).
[6]
Therefore, Not (If [4], then [5].)..
|
{0: 'Some termites emerge from holes.', 1: 'Butterflies drink nectar.', 2: 'Most bear surfaces have stiffness.', 3: 'Reconnaissance is the gathering of intelligence data.', 4: 'Supermodels are models that are at the top of their careers.', 5: 'Some fish have defensive shields.', 6: 'Reducers are solutions which remove silver from negatives and prints.', 7: 'Marbled godwits breed once per year.', 8: 'Higher concentrations can produce central nervous system depression, narcosis, and unconsciousness.'}
| 6 |
5,640 |
["If the statement 'dunes are common on Mars and in the equatorial regions of Titan ' can be considered false, then different seeds have different habits , no doubt adapted to their habitat .", "When different seeds have different habits , no doubt adapted to their habitat is true, it follows that the statement that 'some chemicals are extremely toxic while others are essentially nontoxic' is incorrect.", "The notion that 'island foxs are foxs' is untrue.", "Either immunisation is the process by which a person receives a vaccine by injection or by mouth or the notion that 'tunicates can be very brightly colored' is untrue.", 'It is not the case that immunisation is the process by which a person receives a vaccine by injection or by mouth.', 'If some people mistakenly believe that if those that suggest either tunicates can be very brightly colored or if different seeds have different habits , no doubt adapted to their habitat , then some chemicals are extremely toxic while others are essentially nontoxic are wrong, then island foxs are foxs, then allergies often linger longer.', 'Should it be the case that some people mistakenly believe that if those that suggest either tunicates can be very brightly colored or if different seeds have different habits , no doubt adapted to their habitat , then some chemicals are extremely toxic while others are essentially nontoxic are wrong, then island foxs are foxs, it follows that it is a common misconception that allergies often linger longer.']
|
If the statement 'dunes are common on Mars and in the equatorial regions of Titan ' can be considered false, then different seeds have different habits , no doubt adapted to their habitat . When different seeds have different habits , no doubt adapted to their habitat is true, it follows that the statement that 'some chemicals are extremely toxic while others are essentially nontoxic' is incorrect. The notion that 'island foxs are foxs' is untrue. Either immunisation is the process by which a person receives a vaccine by injection or by mouth or the notion that 'tunicates can be very brightly colored' is untrue. It is not the case that immunisation is the process by which a person receives a vaccine by injection or by mouth. If some people mistakenly believe that if those that suggest either tunicates can be very brightly colored or if different seeds have different habits , no doubt adapted to their habitat , then some chemicals are extremely toxic while others are essentially nontoxic are wrong, then island foxs are foxs, then allergies often linger longer. Should it be the case that some people mistakenly believe that if those that suggest either tunicates can be very brightly colored or if different seeds have different habits , no doubt adapted to their habitat , then some chemicals are extremely toxic while others are essentially nontoxic are wrong, then island foxs are foxs, it follows that it is a common misconception that allergies often linger longer.
|
We can assume that dunes are common on Mars and in the equatorial regions of Titan .
|
Dunes have (part) slopes.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If [1], then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If [1], then [2]..
[SC1-3]
Modus Tonens:
If (Not (Either [3] or (If [1], then [2].).).), then [5]. [SC1-4]
Not [5].
Therefore, Either [3] or (If [1], then [2].)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [3] or (If [1], then [2].).).), then [5].).), then [6].
If (Not (If (Not (Either [3] or (If [1], then [2].).).), then [5].).), then (Not [6].).
Therefore, If (Not (Either [3] or (If [1], then [2].).).), then [5]..
[SC2-3]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4].
Therefore, Not [3]..
|
{0: 'Dunes are common on Mars and in the equatorial regions of Titan .', 1: 'Different seeds have different habits , no doubt adapted to their habitat .', 2: 'Some chemicals are extremely toxic while others are essentially nontoxic.', 3: 'Tunicates can be very brightly colored.', 4: 'Immunisation is the process by which a person receives a vaccine by injection or by mouth.', 5: 'Island foxs are foxs.', 6: 'Allergies often linger longer.'}
| 6 |
5,532 |
['The claim that plants produce multiple sprays of yellow with red lipped flowers on compact growing plants does not correspond with reality.', 'Assuming the claim that either if shrews identify mates, then additive isa element or most kingfishers have size has no merit, we know that happiness is albums.', 'Either carbon dioxide is absorbed by growing vegetation and soils or if if shrews identify mates, then additive isa element, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants.', 'The claim that carbon dioxide is absorbed by growing vegetation and soils does not reflect reality.', 'We know that either feelings are important to every person s emotional and spiritual growth or habitats have climates.', 'Provided that feelings are important to every person s emotional and spiritual growth, we know that if most kingfishers have size, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants.', "Whenever it is true that habitats have climates, 'if most kingfishers have size, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants' is true.", 'Either one or both of these statements are true: low concentration defects in semiconductors, or if the claim that either if shrews identify mates, then additive isa element or most kingfishers have size has no merit, then the claim that happiness is albums does not correspond with reality.', 'The claim that low concentration defects in semiconductors does not reflect reality.']
|
The claim that plants produce multiple sprays of yellow with red lipped flowers on compact growing plants does not correspond with reality. Assuming the claim that either if shrews identify mates, then additive isa element or most kingfishers have size has no merit, we know that happiness is albums. Either carbon dioxide is absorbed by growing vegetation and soils or if if shrews identify mates, then additive isa element, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants. The claim that carbon dioxide is absorbed by growing vegetation and soils does not reflect reality. We know that either feelings are important to every person s emotional and spiritual growth or habitats have climates. Provided that feelings are important to every person s emotional and spiritual growth, we know that if most kingfishers have size, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants. Whenever it is true that habitats have climates, 'if most kingfishers have size, then if extinction has nothing to do with the production of adaptation, then plants produce multiple sprays of yellow with red lipped flowers on compact growing plants' is true. Either one or both of these statements are true: low concentration defects in semiconductors, or if the claim that either if shrews identify mates, then additive isa element or most kingfishers have size has no merit, then the claim that happiness is albums does not correspond with reality. The claim that low concentration defects in semiconductors does not reflect reality.
|
The statement that states extinction has nothing to do with the production of adaptation is false.
|
The statement that states extinction has nothing to do with the production of adaptation is false.
|
TRUE
|
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].). [SC2-2]
If [4], then (If [0], then [1].). [SC3-2]
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (If [2], then [3].) or [4].).), then [7].
If (Not (Either (If [2], then [3].) or [4].).), then (Not [7].). [SC2-3]
Therefore, Either (If [2], then [3].) or [4]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If (Not (Either (If [2], then [3].) or [4].).), then (Not [7].).).
Not [9].
Therefore, If (Not (Either (If [2], then [3].) or [4].).), then (Not [7].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If (If [2], then [3].), then (If [0], then [1].).).
Not [8].
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC3-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If [0], then [1].).).
If [6], then (If [4], then (If [0], then [1].).).
Therefore, If [4], then (If [0], then [1].)..
|
{0: 'Extinction has nothing to do with the production of adaptation.', 1: 'Plants produce multiple sprays of yellow with red lipped flowers on compact growing plants.', 2: 'Shrews identify mates.', 3: 'Additive isa element.', 4: 'Most kingfishers have size.', 5: 'Feelings are important to every person s emotional and spiritual growth.', 6: 'Habitats have climates.', 7: 'Happiness is albums.', 8: 'Carbon dioxide is absorbed by growing vegetation and soils.', 9: 'Low concentration defects in semiconductors.'}
| 6 |
5,126 |
['It is the case that some environmental views characterise the human abuse of nature as an offence against nature itself.', 'Either one or both of these statements are true: loyalty is emotion, or many scientists now believe that great white sharks are intelligent , highly inquisitive creatures.', "Whenever it is true that loyalty is emotion, 'the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false' is true.", 'There is good reason to believe that either mosquitoes can be a significant problem throughout the warm- weather months or if some environmental views characterise the human abuse of nature as an offence against nature itself, then if we know that the claim that christian faith believes that the Bible is full of miracles is false, then eye injuries are painful and sight threatening to the employee, costly to the employer.', 'On the condition that it is a common misconception that if many scientists now believe that great white sharks are intelligent , highly inquisitive creatures, then the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false, it is definitely the case that smoking doubles stroke risk.', "So long as it is a common misconception that if many scientists now believe that great white sharks are intelligent , highly inquisitive creatures, then the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false, 'the statement that 'smoking doubles stroke risk' is incorrect' is true.", 'It is a fact that either anthropology remains a strong source of cultural criticism or the statement, mosquitoes can be a significant problem throughout the warm- weather months, does not hold.', 'Some people mistakenly believe that anthropology remains a strong source of cultural criticism.']
|
It is the case that some environmental views characterise the human abuse of nature as an offence against nature itself. Either one or both of these statements are true: loyalty is emotion, or many scientists now believe that great white sharks are intelligent , highly inquisitive creatures. Whenever it is true that loyalty is emotion, 'the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false' is true. There is good reason to believe that either mosquitoes can be a significant problem throughout the warm- weather months or if some environmental views characterise the human abuse of nature as an offence against nature itself, then if we know that the claim that christian faith believes that the Bible is full of miracles is false, then eye injuries are painful and sight threatening to the employee, costly to the employer. On the condition that it is a common misconception that if many scientists now believe that great white sharks are intelligent , highly inquisitive creatures, then the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false, it is definitely the case that smoking doubles stroke risk. So long as it is a common misconception that if many scientists now believe that great white sharks are intelligent , highly inquisitive creatures, then the statement that states eye injuries are painful and sight threatening to the employee, costly to the employer is false, 'the statement that 'smoking doubles stroke risk' is incorrect' is true. It is a fact that either anthropology remains a strong source of cultural criticism or the statement, mosquitoes can be a significant problem throughout the warm- weather months, does not hold. Some people mistakenly believe that anthropology remains a strong source of cultural criticism.
|
It is reasonable to believe that christian faith believes that the Bible is full of miracles.
|
The claim that christian faith believes that the Bible is full of miracles is false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If (Not [0].), then [1].). [SC1-2]
[4]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [4], then (If (Not [0].), then [1].).).
Not [5]. [SC2-3]
Therefore, If [4], then (If (Not [0].), then [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7].
Therefore, Not [5]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [1].).).), then [6].
If (Not (If [3], then (Not [1].).).), then (Not [6].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Christian faith believes that the Bible is full of miracles.', 1: 'Eye injuries are painful and sight threatening to the employee, costly to the employer.', 2: 'Loyalty is emotion.', 3: 'Many scientists now believe that great white sharks are intelligent , highly inquisitive creatures.', 4: 'Some environmental views characterise the human abuse of nature as an offence against nature itself.', 5: 'Mosquitoes can be a significant problem throughout the warm- weather months.', 6: 'Smoking doubles stroke risk.', 7: 'Anthropology remains a strong source of cultural criticism.'}
| 6 |
5,259 |
['There is good reason to believe that either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations.', 'The statement that states moisture adds elasticity to the hair and helps reduce the possibility of breakage is false.', 'Either one or both of these statements are true: combines are agricultural vehicles, or some parents sell children.', "Should it be the case that combines are agricultural vehicles, it follows that if ceres is the nurturing side of Virgo with a strong maternal instinct, then if it is not the case that if either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations, then gelastic seizures are both unpredictable and unprovoked by the person's surroundings, then moisture adds elasticity to the hair and helps reduce the possibility of breakage.", "So long as some parents sell children, 'if ceres is the nurturing side of Virgo with a strong maternal instinct, then if it is not the case that if either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations, then gelastic seizures are both unpredictable and unprovoked by the person's surroundings, then moisture adds elasticity to the hair and helps reduce the possibility of breakage' is true.", 'Once we know mojave has (part) human bodies, we also know that heavy infestations cause the entire leaf to turn yellow and drop prematurely.', "So long as the claim that if if mojave has (part) human bodies, then heavy infestations cause the entire leaf to turn yellow and drop prematurely, then ceres is the nurturing side of Virgo with a strong maternal instinct is false, 'if horns make shapes, then pornography is also a growing problem for Internet crime fighters' is true.", 'Assuming the claim that if if mojave has (part) human bodies, then heavy infestations cause the entire leaf to turn yellow and drop prematurely, then ceres is the nurturing side of Virgo with a strong maternal instinct is false, we know that it is a common misconception that if horns make shapes, then pornography is also a growing problem for Internet crime fighters.']
|
There is good reason to believe that either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations. The statement that states moisture adds elasticity to the hair and helps reduce the possibility of breakage is false. Either one or both of these statements are true: combines are agricultural vehicles, or some parents sell children. Should it be the case that combines are agricultural vehicles, it follows that if ceres is the nurturing side of Virgo with a strong maternal instinct, then if it is not the case that if either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations, then gelastic seizures are both unpredictable and unprovoked by the person's surroundings, then moisture adds elasticity to the hair and helps reduce the possibility of breakage. So long as some parents sell children, 'if ceres is the nurturing side of Virgo with a strong maternal instinct, then if it is not the case that if either sexuality is rampant in cyberspace or privacy promotes individual autonomy, personal growth, and human relations, then gelastic seizures are both unpredictable and unprovoked by the person's surroundings, then moisture adds elasticity to the hair and helps reduce the possibility of breakage' is true. Once we know mojave has (part) human bodies, we also know that heavy infestations cause the entire leaf to turn yellow and drop prematurely. So long as the claim that if if mojave has (part) human bodies, then heavy infestations cause the entire leaf to turn yellow and drop prematurely, then ceres is the nurturing side of Virgo with a strong maternal instinct is false, 'if horns make shapes, then pornography is also a growing problem for Internet crime fighters' is true. Assuming the claim that if if mojave has (part) human bodies, then heavy infestations cause the entire leaf to turn yellow and drop prematurely, then ceres is the nurturing side of Virgo with a strong maternal instinct is false, we know that it is a common misconception that if horns make shapes, then pornography is also a growing problem for Internet crime fighters.
|
The idea that gelastic seizures are both unpredictable and unprovoked by the person's surroundings is true.
|
Those that suggest gelastic seizures are both unpredictable and unprovoked by the person's surroundings are wrong.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Either [1] or [2].), then [0].).), then [3]. [SC1-2]
Not [3].
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].). [SC1-3]
[4] [SC2-3]
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [3]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].).).
If [8], then (If [4], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].).).
Therefore, If [4], then (If (Not (If (Either [1] or [2].), then [0].).), then [3].)..
[SC2-3]
Modus Ponens:
If (If [5], then [6].), then [4]. [SC1-4]
If [5], then [6].
Therefore, [4].
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then [4].).), then (If [9], then [10].).
If (Not (If (If [5], then [6].), then [4].).), then (Not (If [9], then [10].).).
Therefore, If (If [5], then [6].), then [4]..
|
{0: "Gelastic seizures are both unpredictable and unprovoked by the person's surroundings.", 1: 'Sexuality is rampant in cyberspace.', 2: 'Privacy promotes individual autonomy, personal growth, and human relations.', 3: 'Moisture adds elasticity to the hair and helps reduce the possibility of breakage.', 4: 'Ceres is the nurturing side of Virgo with a strong maternal instinct.', 5: 'Mojave has (part) human bodies.', 6: 'Heavy infestations cause the entire leaf to turn yellow and drop prematurely.', 7: 'Combines are agricultural vehicles.', 8: 'Some parents sell children.', 9: 'Horns make shapes.', 10: 'Pornography is also a growing problem for Internet crime fighters.'}
| 6 |
5,742 |
['The statement that states reproduction is both sexual and parthenogenetic is false.', 'On the condition that the claim that either pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies or if the statement that states construction involves steps is false, then reproduction is both sexual and parthenogenetic is false, it is definitely the case that either adequate housing is a major factor in the maintenance of a healthy pet or dopamine is vital to mental function and seems to play a role in sex drive.', 'Either some scientific equipment is sensitive to radio frequency interference or it is a common misconception that pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies.', 'The statement that states some scientific equipment is sensitive to radio frequency interference is false.', 'It is a fact that either creatures live on earth or if the claim that either pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies or if the statement that states construction involves steps is false, then reproduction is both sexual and parthenogenetic is false, then the claim that either adequate housing is a major factor in the maintenance of a healthy pet or dopamine is vital to mental function and seems to play a role in sex drive has no merit.', "Assuming if actual sin is sin which people commit, then companies are led by young men, we know that the statement 'creatures live on earth' can be considered false.", 'If actual sin is sin which people commit, then companies are led by young men.']
|
The statement that states reproduction is both sexual and parthenogenetic is false. On the condition that the claim that either pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies or if the statement that states construction involves steps is false, then reproduction is both sexual and parthenogenetic is false, it is definitely the case that either adequate housing is a major factor in the maintenance of a healthy pet or dopamine is vital to mental function and seems to play a role in sex drive. Either some scientific equipment is sensitive to radio frequency interference or it is a common misconception that pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies. The statement that states some scientific equipment is sensitive to radio frequency interference is false. It is a fact that either creatures live on earth or if the claim that either pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies or if the statement that states construction involves steps is false, then reproduction is both sexual and parthenogenetic is false, then the claim that either adequate housing is a major factor in the maintenance of a healthy pet or dopamine is vital to mental function and seems to play a role in sex drive has no merit. Assuming if actual sin is sin which people commit, then companies are led by young men, we know that the statement 'creatures live on earth' can be considered false. If actual sin is sin which people commit, then companies are led by young men.
|
It is reasonable to believe that construction involves steps.
|
The statement 'construction involves steps' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [4] or [5].).
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not (Either [4] or [5].).). [SC2-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not (Either [4] or [5].).).).
Not [6]. [SC2-4]
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not (Either [4] or [5].).)..
[SC2-4]
Modus Ponens:
If (If [7], then [8].), then (Not [6].).
If [7], then [8].
Therefore, Not [6]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].).
Not [3].
Therefore, Not [2]..
|
{0: 'Construction involves steps.', 1: 'Reproduction is both sexual and parthenogenetic.', 2: 'Pediatric allergists treat disorders of the immune system and, more commonly, childhood allergies.', 3: 'Some scientific equipment is sensitive to radio frequency interference.', 4: 'Adequate housing is a major factor in the maintenance of a healthy pet.', 5: 'Dopamine is vital to mental function and seems to play a role in sex drive.', 6: 'Creatures live on earth.', 7: 'Actual sin is sin which people commit.', 8: 'Companies are led by young men.'}
| 6 |
5,761 |
["Given that deer have contain microbes, it can be inferred that the statement 'most anthrax affects animals' can be considered false.", "Once we know the claim that if if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor, then the statement 'most anthrax affects animals' can be considered false does not reflect reality, we also know that the claim that cents are words does not reflect reality.", 'One may reasonably assume that if the statement, if either search engines are actually huge databases of websites or students prepare for examinations, then either if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor or deer have contain microbes, does not hold, then case studies are reports.', 'The statement that states case studies are reports is false.', 'When detergent is located in basements is true, it follows that either search engines are actually huge databases of websites or students prepare for examinations.', 'The claim that detergent is located in basements is true.', "Assuming the claim that if if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor, then the statement 'most anthrax affects animals' can be considered false does not reflect reality, we know that terminators are films.", 'Once we know terminators are films, we also know that cents are words.']
|
Given that deer have contain microbes, it can be inferred that the statement 'most anthrax affects animals' can be considered false. Once we know the claim that if if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor, then the statement 'most anthrax affects animals' can be considered false does not reflect reality, we also know that the claim that cents are words does not reflect reality. One may reasonably assume that if the statement, if either search engines are actually huge databases of websites or students prepare for examinations, then either if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor or deer have contain microbes, does not hold, then case studies are reports. The statement that states case studies are reports is false. When detergent is located in basements is true, it follows that either search engines are actually huge databases of websites or students prepare for examinations. The claim that detergent is located in basements is true. Assuming the claim that if if mercury compounds are very toxic and require handling with special care, then most parsley roots have flavor, then the statement 'most anthrax affects animals' can be considered false does not reflect reality, we know that terminators are films. Once we know terminators are films, we also know that cents are words.
|
The statement 'most anthrax affects animals' can be considered false.
|
The statement 'most anthrax affects animals' can be considered false.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (Either [4] or [5].), then (Either (If [1], then [2].) or [3].). [SC1-2]
Either [4] or [5]. [SC2-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (Either (If [1], then [2].) or [3].).).), then [7].
Not [7].
Therefore, If (Either [4] or [5].), then (Either (If [1], then [2].) or [3].)..
[SC2-2]
Modus Ponens:
If [9], then (Either [4] or [5].).
[9]
Therefore, Either [4] or [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [6]. [SC1-2]
If (Not (If (If [1], then [2].), then (Not [0].).).), then (Not [6].).
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (If [1], then [2].), then (Not [0].).).), then [8].
If [8], then [6].
Therefore, If (Not (If (If [1], then [2].), then (Not [0].).).), then [6]..
|
{0: 'Most anthrax affects animals.', 1: 'Mercury compounds are very toxic and require handling with special care.', 2: 'Most parsley roots have flavor.', 3: 'Deer have contain microbes.', 4: 'Search engines are actually huge databases of websites.', 5: 'Students prepare for examinations.', 6: 'Cents are words.', 7: 'Case studies are reports.', 8: 'Terminators are films.', 9: 'Detergent is located in basements.'}
| 6 |
5,137 |
['The claim that a refractoriness is a trait has no merit.', "So long as those that suggest if some anoles live in similar habitats, then either some rabbits have bright shiny noses or a crow is a bird are wrong, 'mica capacitors are still indispensable in high-power RF transmitter applications' is true.", 'When mica capacitors are still indispensable in high-power RF transmitter applications is true, it follows that amazons form one of the largest and most well known groups of parrots.', "So long as those that suggest if some anoles live in similar habitats, then either some rabbits have bright shiny noses or a crow is a bird are wrong, 'theories lend structure and meaning to the scientific study of children' is true.", "So long as theories lend structure and meaning to the scientific study of children, 'the notion that 'amazons form one of the largest and most well known groups of parrots' is untrue' is true.", 'When electronic commerce is a hot topic in both the computer industry and the business world is true, it follows that if it is not true that if some anoles live in similar habitats, then we know that the claim that either some rabbits have bright shiny noses or a crow is a bird is false, then a refractoriness is a trait.', 'The idea that electronic commerce is a hot topic in both the computer industry and the business world is true.']
|
The claim that a refractoriness is a trait has no merit. So long as those that suggest if some anoles live in similar habitats, then either some rabbits have bright shiny noses or a crow is a bird are wrong, 'mica capacitors are still indispensable in high-power RF transmitter applications' is true. When mica capacitors are still indispensable in high-power RF transmitter applications is true, it follows that amazons form one of the largest and most well known groups of parrots. So long as those that suggest if some anoles live in similar habitats, then either some rabbits have bright shiny noses or a crow is a bird are wrong, 'theories lend structure and meaning to the scientific study of children' is true. So long as theories lend structure and meaning to the scientific study of children, 'the notion that 'amazons form one of the largest and most well known groups of parrots' is untrue' is true. When electronic commerce is a hot topic in both the computer industry and the business world is true, it follows that if it is not true that if some anoles live in similar habitats, then we know that the claim that either some rabbits have bright shiny noses or a crow is a bird is false, then a refractoriness is a trait. The idea that electronic commerce is a hot topic in both the computer industry and the business world is true.
|
The claim that some anoles live in similar habitats has no merit.
|
The claim that anoles have (part) chest cavities has no merit.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].). [SC1-1]
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Either [1] or [2].).).), then [3]. [SC1-2]
If (Not (If [0], then (Either [1] or [2].).).), then (Not [3].). [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [0], then (Either [1] or [2].).).), then [5].
If [5], then [3].
Therefore, If (Not (If [0], then (Either [1] or [2].).).), then [3]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then (Either [1] or [2].).).), then [7].
If [7], then (Not [3].).
Therefore, If (Not (If [0], then (Either [1] or [2].).).), then (Not [3].)..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not (Either [1] or [2].).).).), then [4]. [SC1-2]
Not [4].
Therefore, If [0], then (Not (Either [1] or [2].).)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If [0], then (Not (Either [1] or [2].).).).), then [4].).
[6]
Therefore, If (Not (If [0], then (Not (Either [1] or [2].).).).), then [4]..
|
{0: 'Some anoles live in similar habitats.', 1: 'Some rabbits have bright shiny noses.', 2: 'A crow is a bird.', 3: 'Amazons form one of the largest and most well known groups of parrots.', 4: 'A refractoriness is a trait.', 5: 'Mica capacitors are still indispensable in high-power RF transmitter applications.', 6: 'Electronic commerce is a hot topic in both the computer industry and the business world.', 7: 'Theories lend structure and meaning to the scientific study of children.'}
| 6 |
5,007 |
['The statement that states wheat includes all types, including spring and winter wheat is false.', "Once we know those that suggest if the notion that 'a cooking is an action' is untrue, then table tennis is table games are wrong, we also know that shoes provide protection.", "The statement 'shoes provide protection' can be considered false.", "One may reasonably assume that if the statement 'if table tennis is table games, then either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather' can be considered false, then strep throat spreads through close contact with a sick person.", "One may reasonably assume that if the statement 'if table tennis is table games, then either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather' can be considered false, then the statement 'strep throat spreads through close contact with a sick person' can be considered false.", 'It is a fact that either either ocean surfaces absorb solar energy or many wolverines are shot due to their habit of preying upon animals that are trapped for fur or magnetic tape is tape.', 'When either ocean surfaces absorb solar energy or many wolverines are shot due to their habit of preying upon animals that are trapped for fur is true, it follows that either wheat includes all types, including spring and winter wheat or it is not true that either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather.', 'Assuming magnetic tape is tape, we know that either wheat includes all types, including spring and winter wheat or it is not true that either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather.']
|
The statement that states wheat includes all types, including spring and winter wheat is false. Once we know those that suggest if the notion that 'a cooking is an action' is untrue, then table tennis is table games are wrong, we also know that shoes provide protection. The statement 'shoes provide protection' can be considered false. One may reasonably assume that if the statement 'if table tennis is table games, then either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather' can be considered false, then strep throat spreads through close contact with a sick person. One may reasonably assume that if the statement 'if table tennis is table games, then either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather' can be considered false, then the statement 'strep throat spreads through close contact with a sick person' can be considered false. It is a fact that either either ocean surfaces absorb solar energy or many wolverines are shot due to their habit of preying upon animals that are trapped for fur or magnetic tape is tape. When either ocean surfaces absorb solar energy or many wolverines are shot due to their habit of preying upon animals that are trapped for fur is true, it follows that either wheat includes all types, including spring and winter wheat or it is not true that either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather. Assuming magnetic tape is tape, we know that either wheat includes all types, including spring and winter wheat or it is not true that either manatee calves drink milk or frostbite is another hazard experienced in extremely cold weather.
|
We can assume that a cooking is an action.
|
We can assume that a cooking is an action.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (Either [1] or [2].). [SC2-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [3].).), then [5].
Not [5].
Therefore, If (Not [0].), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [1] or [2].).).), then [6].
If (Not (If [3], then (Either [1] or [2].).).), then (Not [6].).
Therefore, If [3], then (Either [1] or [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (Either [1] or [2].).). [SC1-2]
Not [4].
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Either [4] or (Not (Either [1] or [2].).).).
If [9], then (Either [4] or (Not (Either [1] or [2].).).).
Therefore, Either [4] or (Not (Either [1] or [2].).)..
|
{0: 'A cooking is an action.', 1: 'Manatee calves drink milk.', 2: 'Frostbite is another hazard experienced in extremely cold weather.', 3: 'Table tennis is table games.', 4: 'Wheat includes all types, including spring and winter wheat.', 5: 'Shoes provide protection.', 6: 'Strep throat spreads through close contact with a sick person.', 7: 'Ocean surfaces absorb solar energy.', 8: 'Many wolverines are shot due to their habit of preying upon animals that are trapped for fur.', 9: 'Magnetic tape is tape.'}
| 6 |
5,502 |
['At least one of two things is true: opportunistic feeders are animals that eat whatever food is convenient at the time, or if younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs, then statistics is the systematic collection and display of numerical data.', 'Once we know either some antidepressants e.g. the tricyclics, block the reuptake of serotonin and noradrenaline or some breads are even acidic, such as sourdough, we also know that if if younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs, then statistics is the systematic collection and display of numerical data, then animals inhabit polar regions.', 'Either one or both of these statements are true: sunflowers grow on dry, sunny places , because their roots can explore deeper soil layers, or radiation exposure is similar to other X-rays.', "On the condition that sunflowers grow on dry, sunny places , because their roots can explore deeper soil layers, it is definitely the case that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then hydrologists are scientists who study water.", "Once we know radiation exposure is similar to other X-rays, we also know that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then hydrologists are scientists who study water.", 'We know that either if many cells also form vacuoles, then hummingbirds can hover or tantalum is immune to body liquids and is a non-irritating metal.', "When if many cells also form vacuoles, then hummingbirds can hover is true, it follows that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then the statement that states hydrologists are scientists who study water is false.", "So long as tantalum is immune to body liquids and is a non-irritating metal, 'if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then the statement that states hydrologists are scientists who study water is false' is true.", 'Either one or both of these statements are true: nucleotides are linked to one another to form a strand, or either some antidepressants e.g. the tricyclics, block the reuptake of serotonin and noradrenaline or some breads are even acidic, such as sourdough.', 'The claim that nucleotides are linked to one another to form a strand has no merit.']
|
At least one of two things is true: opportunistic feeders are animals that eat whatever food is convenient at the time, or if younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs, then statistics is the systematic collection and display of numerical data. Once we know either some antidepressants e.g. the tricyclics, block the reuptake of serotonin and noradrenaline or some breads are even acidic, such as sourdough, we also know that if if younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs, then statistics is the systematic collection and display of numerical data, then animals inhabit polar regions. Either one or both of these statements are true: sunflowers grow on dry, sunny places , because their roots can explore deeper soil layers, or radiation exposure is similar to other X-rays. On the condition that sunflowers grow on dry, sunny places , because their roots can explore deeper soil layers, it is definitely the case that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then hydrologists are scientists who study water. Once we know radiation exposure is similar to other X-rays, we also know that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then hydrologists are scientists who study water. We know that either if many cells also form vacuoles, then hummingbirds can hover or tantalum is immune to body liquids and is a non-irritating metal. When if many cells also form vacuoles, then hummingbirds can hover is true, it follows that if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then the statement that states hydrologists are scientists who study water is false. So long as tantalum is immune to body liquids and is a non-irritating metal, 'if the statement that 'if opportunistic feeders are animals that eat whatever food is convenient at the time, then animals inhabit polar regions' is incorrect, then the statement that states hydrologists are scientists who study water is false' is true. Either one or both of these statements are true: nucleotides are linked to one another to form a strand, or either some antidepressants e.g. the tricyclics, block the reuptake of serotonin and noradrenaline or some breads are even acidic, such as sourdough. The claim that nucleotides are linked to one another to form a strand has no merit.
|
Many people rightly believe that animals inhabit polar regions.
|
Many people rightly believe that animals inhabit polar regions.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [6]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [6].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [11] or [12].
If [11], then (If (Not (If [1], then [0].).), then [6].).
If [12], then (If (Not (If [1], then [0].).), then [6].).
Therefore, If (Not (If [1], then [0].).), then [6]..
[SC2-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If (Not (If [1], then [0].).), then (Not [6].).).
If [9], then (If (Not (If [1], then [0].).), then (Not [6].).).
Therefore, If (Not (If [1], then [0].).), then (Not [6].)..
[SC3-1]
Modus Ponens:
If (Either [4] or [5].), then (If (If [2], then [3].), then [0].).
Either [4] or [5]. [SC2-2]
Therefore, If (If [2], then [3].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [10] or (Either [4] or [5].).
Not [10].
Therefore, Either [4] or [5]..
|
{0: 'Animals inhabit polar regions.', 1: 'Opportunistic feeders are animals that eat whatever food is convenient at the time.', 2: 'Younger alligators eat insects, shrimps, snails, small fish, tadpoles and frogs.', 3: 'Statistics is the systematic collection and display of numerical data.', 4: 'Some antidepressants e.g. the tricyclics, block the reuptake of serotonin and noradrenaline.', 5: 'Some breads are even acidic, such as sourdough.', 6: 'Hydrologists are scientists who study water.', 7: 'Many cells also form vacuoles.', 8: 'Hummingbirds can hover.', 9: 'Tantalum is immune to body liquids and is a non-irritating metal.', 10: 'Nucleotides are linked to one another to form a strand.', 11: 'Sunflowers grow on dry, sunny places , because their roots can explore deeper soil layers.', 12: 'Radiation exposure is similar to other X-rays.'}
| 6 |
5,831 |
['If slugs are hermaphroditic, each having both male and female reproductive organs, then if female pigs reach sexual maturity, then a burrito is a dish.', 'On the condition that if female pigs reach sexual maturity, then a burrito is a dish, it is definitely the case that those that suggest some flame cells are part of tapeworms are wrong.', "One may reasonably assume that if the statement that 'if we know that the claim that younger drinkers are more likely than older drinkers to engage in heavy drinking is false, then slugs are hermaphroditic, each having both male and female reproductive organs' is incorrect, then most cacti have places.", "When the statement that 'if we know that the claim that younger drinkers are more likely than older drinkers to engage in heavy drinking is false, then slugs are hermaphroditic, each having both male and female reproductive organs' is incorrect is true, it follows that it is not true that most cacti have places.", 'If lyrics are text, then if if female pigs reach sexual maturity, then a burrito is a dish, then some flame cells are part of tapeworms.', 'There is good reason to believe that either either prostitution is a major concern and a policy issue for many countries, including the United States or most infected dogs have a fever and stuffed up head or lyrics are text.', 'It is not the case that either prostitution is a major concern and a policy issue for many countries, including the United States or most infected dogs have a fever and stuffed up head.']
|
If slugs are hermaphroditic, each having both male and female reproductive organs, then if female pigs reach sexual maturity, then a burrito is a dish. On the condition that if female pigs reach sexual maturity, then a burrito is a dish, it is definitely the case that those that suggest some flame cells are part of tapeworms are wrong. One may reasonably assume that if the statement that 'if we know that the claim that younger drinkers are more likely than older drinkers to engage in heavy drinking is false, then slugs are hermaphroditic, each having both male and female reproductive organs' is incorrect, then most cacti have places. When the statement that 'if we know that the claim that younger drinkers are more likely than older drinkers to engage in heavy drinking is false, then slugs are hermaphroditic, each having both male and female reproductive organs' is incorrect is true, it follows that it is not true that most cacti have places. If lyrics are text, then if if female pigs reach sexual maturity, then a burrito is a dish, then some flame cells are part of tapeworms. There is good reason to believe that either either prostitution is a major concern and a policy issue for many countries, including the United States or most infected dogs have a fever and stuffed up head or lyrics are text. It is not the case that either prostitution is a major concern and a policy issue for many countries, including the United States or most infected dogs have a fever and stuffed up head.
|
The statement 'younger drinkers are more likely than older drinkers to engage in heavy drinking' can be considered true.
|
The statement 'younger drinkers are more likely than older drinkers to engage in heavy drinking' can be considered 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]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (If [1], then [2].).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [3].).), then [5].
If (Not (If (Not [0].), then [3].).), then (Not [5].).
Therefore, If (Not [0].), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (If [1], then [2].), then [4]. [SC1-2]
If (If [1], then [2].), then (Not [4].).
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If (If [1], then [2].), then [4].).
[6] [SC2-3]
Therefore, If (If [1], then [2].), then [4]..
[SC2-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or [6].
Not (Either [7] or [8].).
Therefore, [6].
|
{0: 'Younger drinkers are more likely than older drinkers to engage in heavy drinking.', 1: 'Female pigs reach sexual maturity.', 2: 'A burrito is a dish.', 3: 'Slugs are hermaphroditic, each having both male and female reproductive organs.', 4: 'Some flame cells are part of tapeworms.', 5: 'Most cacti have places.', 6: 'Lyrics are text.', 7: 'Prostitution is a major concern and a policy issue for many countries, including the United States.', 8: 'Most infected dogs have a fever and stuffed up head.'}
| 6 |
5,762 |
['Once we know the claim that if either chance alone is the source of all innovation and creation in the biosphere or most norway rats reach sexual maturity, then rice gruel is one of the easiest and best home remedy for gastritis has no merit, we also know that plant based foods have none.', 'At least one of two things is true: modernism assumes that all knowledge of the world is knowledge of an object, or most paralysis affects performance.', "There is good reason to believe that either diabetes has a tendency to make one feel all alone or if the claim that if either chance alone is the source of all innovation and creation in the biosphere or most norway rats reach sexual maturity, then rice gruel is one of the easiest and best home remedy for gastritis has no merit, then the notion that 'plant based foods have none' is untrue.", 'Those that suggest diabetes has a tendency to make one feel all alone are wrong.', "So long as family is the foundation of a child's learning, 'the claim that rice gruel is one of the easiest and best home remedy for gastritis does not reflect reality' is true.", "If it is not the case that if either modernism assumes that all knowledge of the world is knowledge of an object or most paralysis affects performance, then family is the foundation of a child's learning, then citizens belonging to many of the world's democratic nations have what are termed civil rights .", "When it is not the case that if either modernism assumes that all knowledge of the world is knowledge of an object or most paralysis affects performance, then family is the foundation of a child's learning is true, it follows that the claim that citizens belonging to many of the world's democratic nations have what are termed civil rights has no merit."]
|
Once we know the claim that if either chance alone is the source of all innovation and creation in the biosphere or most norway rats reach sexual maturity, then rice gruel is one of the easiest and best home remedy for gastritis has no merit, we also know that plant based foods have none. At least one of two things is true: modernism assumes that all knowledge of the world is knowledge of an object, or most paralysis affects performance. There is good reason to believe that either diabetes has a tendency to make one feel all alone or if the claim that if either chance alone is the source of all innovation and creation in the biosphere or most norway rats reach sexual maturity, then rice gruel is one of the easiest and best home remedy for gastritis has no merit, then the notion that 'plant based foods have none' is untrue. Those that suggest diabetes has a tendency to make one feel all alone are wrong. So long as family is the foundation of a child's learning, 'the claim that rice gruel is one of the easiest and best home remedy for gastritis does not reflect reality' is true. If it is not the case that if either modernism assumes that all knowledge of the world is knowledge of an object or most paralysis affects performance, then family is the foundation of a child's learning, then citizens belonging to many of the world's democratic nations have what are termed civil rights . When it is not the case that if either modernism assumes that all knowledge of the world is knowledge of an object or most paralysis affects performance, then family is the foundation of a child's learning is true, it follows that the claim that citizens belonging to many of the world's democratic nations have what are termed civil rights has no merit.
|
The statement that states either chance alone is the source of all innovation and creation in the biosphere or most norway rats reach sexual maturity is false.
|
It is a common misconception that a chance is possibility.
|
Uncertain
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [0] or [1].), then [2].).), then [5].
If (Not (If (Either [0] or [1].), then [2].).), then (Not [5].). [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (Not (If (Either [0] or [1].), then [2].).), then (Not [5].).).
Not [7].
Therefore, If (Not (If (Either [0] or [1].), then [2].).), then (Not [5].)..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (Not [2].). [SC1-2]
Either [3] or [4].
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then [6]. [SC1-3]
If [6], then (Not [2].).
Therefore, If (Either [3] or [4].), then (Not [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then [6].).), then [8].
If (Not (If (Either [3] or [4].), then [6].).), then (Not [8].).
Therefore, If (Either [3] or [4].), then [6]..
|
{0: 'Chance alone is the source of all innovation and creation in the biosphere.', 1: 'Most norway rats reach sexual maturity.', 2: 'Rice gruel is one of the easiest and best home remedy for gastritis.', 3: 'Modernism assumes that all knowledge of the world is knowledge of an object.', 4: 'Most paralysis affects performance.', 5: 'Plant based foods have none.', 6: "Family is the foundation of a child's learning.", 7: 'Diabetes has a tendency to make one feel all alone.', 8: "Citizens belonging to many of the world's democratic nations have what are termed civil rights ."}
| 6 |
5,851 |
['The statement, lung cancer is cancer, does not hold.', 'When those that suggest angels are spirits, however they are inhuman spirits are wrong is true, it follows that we know that the claim that enzymes control cellular chemical reactions is false.', 'One may reasonably assume that if cassowaries have (part) cell membranes, then lung cancer is cancer.', 'Assuming stairwells are used for climbing, we know that if angels are spirits, however they are inhuman spirits, then color coding uses all digits and letters.', "Whenever it is true that winds can and do blow ashore, currents keep moving and invariably pass along the coast, 'if those that suggest angels are spirits, however they are inhuman spirits are wrong, then enzymes control cellular chemical reactions' is true.", "The statement 'winds can and do blow ashore, currents keep moving and invariably pass along the coast' can be considered true.", 'If few key individuals play lead roles, then either cassowaries have (part) cell membranes or stairwells are used for climbing.', "The statement 'few key individuals play lead roles' is true."]
|
The statement, lung cancer is cancer, does not hold. When those that suggest angels are spirits, however they are inhuman spirits are wrong is true, it follows that we know that the claim that enzymes control cellular chemical reactions is false. One may reasonably assume that if cassowaries have (part) cell membranes, then lung cancer is cancer. Assuming stairwells are used for climbing, we know that if angels are spirits, however they are inhuman spirits, then color coding uses all digits and letters. Whenever it is true that winds can and do blow ashore, currents keep moving and invariably pass along the coast, 'if those that suggest angels are spirits, however they are inhuman spirits are wrong, then enzymes control cellular chemical reactions' is true. The statement 'winds can and do blow ashore, currents keep moving and invariably pass along the coast' can be considered true. If few key individuals play lead roles, then either cassowaries have (part) cell membranes or stairwells are used for climbing. The statement 'few key individuals play lead roles' is true.
|
It is true that color coding uses all digits and letters.
|
Color coding is one of the first methods that is inlayed over systems.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].). [SC1-2]
Not [3].
Therefore, If [1], then [0]..
[SC1-2]
Constructive Dilemma:
Either [4] or [5]. [SC1-3]
If [4], then [3].
If [5], then (If [1], then [0].).
Therefore, Either [3] or (If [1], then [0].)..
[SC1-3]
Modus Ponens:
If [7], then (Either [4] or [5].).
[7]
Therefore, Either [4] or [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Modus Ponens:
If [6], then (If (Not [1].), then [2].).
[6]
Therefore, If (Not [1].), then [2]..
|
{0: 'Color coding uses all digits and letters.', 1: 'Angels are spirits, however they are inhuman spirits.', 2: 'Enzymes control cellular chemical reactions.', 3: 'Lung cancer is cancer.', 4: 'Cassowaries have (part) cell membranes.', 5: 'Stairwells are used for climbing.', 6: 'Winds can and do blow ashore, currents keep moving and invariably pass along the coast.', 7: 'Few key individuals play lead roles.'}
| 6 |
5,407 |
['Given that gentleness is meekness or humility, it can be inferred that it is not the case that bivalves have no distinct head, and the radula has been lost.', 'On the condition that large areas consist of large, pleomorphic cells with vesicular nuclei and marginated chromatin, it is definitely the case that gentleness is meekness or humility.', 'Given that if collagen provides structures, then bones have shapes, it can be inferred that large areas consist of large, pleomorphic cells with vesicular nuclei and marginated chromatin.', "Whenever it is true that collagen provides structures, 'snake oil is a liquid' is true.", 'If all penguins live near water, then bones have shapes.', 'If the claim that if snake oil is a liquid, then all penguins live near water has no merit, then geriatric assessment can identify the level of care that a patient needs.', "When the claim that if snake oil is a liquid, then all penguins live near water has no merit is true, it follows that the notion that 'geriatric assessment can identify the level of care that a patient needs' is untrue."]
|
Given that gentleness is meekness or humility, it can be inferred that it is not the case that bivalves have no distinct head, and the radula has been lost. On the condition that large areas consist of large, pleomorphic cells with vesicular nuclei and marginated chromatin, it is definitely the case that gentleness is meekness or humility. Given that if collagen provides structures, then bones have shapes, it can be inferred that large areas consist of large, pleomorphic cells with vesicular nuclei and marginated chromatin. Whenever it is true that collagen provides structures, 'snake oil is a liquid' is true. If all penguins live near water, then bones have shapes. If the claim that if snake oil is a liquid, then all penguins live near water has no merit, then geriatric assessment can identify the level of care that a patient needs. When the claim that if snake oil is a liquid, then all penguins live near water has no merit is true, it follows that the notion that 'geriatric assessment can identify the level of care that a patient needs' is untrue.
|
It is not the case that bivalves have no distinct head, and the radula has been lost.
|
Bivalves have no distinct head, and the radula has been lost.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then [1].
[2] [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If (If [3], then [4].), then [2].
If [3], then [4]. [SC2-3]
Therefore, [2].
[SC2-3]
Hypothetical Syllogism:
If [3], then [5].
If [5], then [4]. [SC2-4]
Therefore, If [3], then [4]..
[SC2-4]
Hypothetical Syllogism:
If [5], then [6]. [SC1-5]
If [6], then [4].
Therefore, If [5], then [4]..
[SC1-5]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then [7].
If (Not (If [5], then [6].).), then (Not [7].).
Therefore, If [5], then [6]..
|
{0: 'Bivalves have no distinct head, and the radula has been lost.', 1: 'Gentleness is meekness or humility.', 2: 'Large areas consist of large, pleomorphic cells with vesicular nuclei and marginated chromatin.', 3: 'Collagen provides structures.', 4: 'Bones have shapes.', 5: 'Snake oil is a liquid.', 6: 'All penguins live near water.', 7: 'Geriatric assessment can identify the level of care that a patient needs.'}
| 6 |
5,692 |
['There is good reason to believe that either some amphibians can also be difficult to handle due to their coating of protective slime or graduates have (part) cells.', 'Either young plants appear normal, but become stunted as they develop or universal love means to detach from preferences.', "Once we know young plants appear normal, but become stunted as they develop, we also know that the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect.", 'The idea that acid is believed to damage tooth enamel and cause decay is true.', 'Either some skulls have arches or horses communicate by body language and touch.', 'There is good reason to believe that either most fawns grow into adults or horses are horses.', "So long as horses are horses, 'if either some skulls have arches or horses communicate by body language and touch, then if acid is believed to damage tooth enamel and cause decay, then if universal love means to detach from preferences, then the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect' is true.", "There is good reason to believe that either if reproduction takes place when male and female clams release sperm and eggs into the water, then sexual reproduction produces genetically unique offspring or if most fawns grow into adults, then if either some skulls have arches or horses communicate by body language and touch, then if acid is believed to damage tooth enamel and cause decay, then if universal love means to detach from preferences, then the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect.", 'The statement that states if reproduction takes place when male and female clams release sperm and eggs into the water, then sexual reproduction produces genetically unique offspring is false.']
|
There is good reason to believe that either some amphibians can also be difficult to handle due to their coating of protective slime or graduates have (part) cells. Either young plants appear normal, but become stunted as they develop or universal love means to detach from preferences. Once we know young plants appear normal, but become stunted as they develop, we also know that the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect. The idea that acid is believed to damage tooth enamel and cause decay is true. Either some skulls have arches or horses communicate by body language and touch. There is good reason to believe that either most fawns grow into adults or horses are horses. So long as horses are horses, 'if either some skulls have arches or horses communicate by body language and touch, then if acid is believed to damage tooth enamel and cause decay, then if universal love means to detach from preferences, then the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect' is true. There is good reason to believe that either if reproduction takes place when male and female clams release sperm and eggs into the water, then sexual reproduction produces genetically unique offspring or if most fawns grow into adults, then if either some skulls have arches or horses communicate by body language and touch, then if acid is believed to damage tooth enamel and cause decay, then if universal love means to detach from preferences, then the statement that 'some amphibians can also be difficult to handle due to their coating of protective slime' is incorrect. The statement that states if reproduction takes place when male and female clams release sperm and eggs into the water, then sexual reproduction produces genetically unique offspring is false.
|
The statement that states graduates have (part) cells is right.
|
Some people mistakenly believe that graduates have (part) cells.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Modus Ponens:
If [4], then (If [3], then (Not [1].).). [SC1-3]
[4]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Modus Ponens:
If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).). [SC1-4]
Either [5] or [6].
Therefore, If [4], then (If [3], then (Not [1].).)..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).).). [SC2-5]
If [8], then (If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).).).
Therefore, If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).)..
[SC2-5]
Disjunctive Syllogism:
Either (If [9], then [10].) or (If [7], then (If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).).).).
Not (If [9], then [10].).
Therefore, If [7], then (If (Either [5] or [6].), then (If [4], then (If [3], then (Not [1].).).).)..
|
{0: 'Graduates have (part) cells.', 1: 'Some amphibians can also be difficult to handle due to their coating of protective slime.', 2: 'Young plants appear normal, but become stunted as they develop.', 3: 'Universal love means to detach from preferences.', 4: 'Acid is believed to damage tooth enamel and cause decay.', 5: 'Some skulls have arches.', 6: 'Horses communicate by body language and touch.', 7: 'Most fawns grow into adults.', 8: 'Horses are horses.', 9: 'Reproduction takes place when male and female clams release sperm and eggs into the water.', 10: 'Sexual reproduction produces genetically unique offspring.'}
| 6 |
5,353 |
["When the statement that 'blood travels across the body through the network of blood vessels' is incorrect is true, it follows that radiation works best when it is given in small doses over several sessions.", 'Should it be the case that most female monkeys weigh around grams, it follows that it is not the case that radiation works best when it is given in small doses over several sessions.', 'Given that most plants require light, it can be inferred that risk management is a result of experience, training, and good personal judgment.', 'It is rational to believe that either air usually moves from areas of higher pressure to areas of lower pressure or coconut milk is plant materials.', 'If air usually moves from areas of higher pressure to areas of lower pressure, then most plants require light.', 'Given that coconut milk is plant materials, it can be inferred that most plants require light.', 'On the condition that risk management is a result of experience, training, and good personal judgment, it is definitely the case that either dominoes have (part) lap covering or zygotes are passed out through the feces.', 'If either dominoes have (part) lap covering or zygotes are passed out through the feces, then most female monkeys weigh around grams.']
|
When the statement that 'blood travels across the body through the network of blood vessels' is incorrect is true, it follows that radiation works best when it is given in small doses over several sessions. Should it be the case that most female monkeys weigh around grams, it follows that it is not the case that radiation works best when it is given in small doses over several sessions. Given that most plants require light, it can be inferred that risk management is a result of experience, training, and good personal judgment. It is rational to believe that either air usually moves from areas of higher pressure to areas of lower pressure or coconut milk is plant materials. If air usually moves from areas of higher pressure to areas of lower pressure, then most plants require light. Given that coconut milk is plant materials, it can be inferred that most plants require light. On the condition that risk management is a result of experience, training, and good personal judgment, it is definitely the case that either dominoes have (part) lap covering or zygotes are passed out through the feces. If either dominoes have (part) lap covering or zygotes are passed out through the feces, then most female monkeys weigh around grams.
|
It is a simple truth that blood travels across the body through the network of blood vessels.
|
It is a common misconception that blood travels across the body through the network of blood vessels.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Ponens:
If [3], then [2]. [SC1-3]
[3] [SC2-3]
Therefore, [2].
[SC1-3]
Hypothetical Syllogism:
If [3], then [6].
If [6], then [2]. [SC2-4]
Therefore, If [3], then [2]..
[SC2-4]
Hypothetical Syllogism:
If [6], then (Either [7] or [8].).
If (Either [7] or [8].), then [2].
Therefore, If [6], then [2]..
[SC2-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then [3].
If [5], then [3].
Therefore, [3].
|
{0: 'Blood travels across the body through the network of blood vessels.', 1: 'Radiation works best when it is given in small doses over several sessions.', 2: 'Most female monkeys weigh around grams.', 3: 'Most plants require light.', 4: 'Air usually moves from areas of higher pressure to areas of lower pressure.', 5: 'Coconut milk is plant materials.', 6: 'Risk management is a result of experience, training, and good personal judgment.', 7: 'Dominoes have (part) lap covering.', 8: 'Zygotes are passed out through the feces.'}
| 6 |
5,153 |
["So long as either teeth have texture or short muscles have to work harder than long muscles in order to generate force for walking, 'caterpillars construct silken shelters by tying leaves together about midway up the host plant' is true.", 'The claim that rape is an infringement of our individual human rights and it is a violation of our dignity does not reflect reality.', 'It is not true that relativity is essential for describing objects which move rapidly - approaching the speed of light.', "When the claim that either rape is an infringement of our individual human rights and it is a violation of our dignity or if those that suggest education is also an important export for our country's economy are wrong, then the claim that caterpillars construct silken shelters by tying leaves together about midway up the host plant does not correspond with reality has no merit is true, it follows that temporary colostomy allows a newly reconstructed rectum to heal completely.", 'Those that suggest temporary colostomy allows a newly reconstructed rectum to heal completely are wrong.', "Once we know the notion that 'if the statement 'if those that suggest education is also an important export for our country's economy are wrong, then either teeth have texture or short muscles have to work harder than long muscles in order to generate force for walking' can be considered false, then relativity is essential for describing objects which move rapidly - approaching the speed of light' is untrue, we also know that either some chromatin is part of nits or drug offenses contribute to nearly half of the increase in the female prison population.", 'Some people mistakenly believe that either some chromatin is part of nits or drug offenses contribute to nearly half of the increase in the female prison population.']
|
So long as either teeth have texture or short muscles have to work harder than long muscles in order to generate force for walking, 'caterpillars construct silken shelters by tying leaves together about midway up the host plant' is true. The claim that rape is an infringement of our individual human rights and it is a violation of our dignity does not reflect reality. It is not true that relativity is essential for describing objects which move rapidly - approaching the speed of light. When the claim that either rape is an infringement of our individual human rights and it is a violation of our dignity or if those that suggest education is also an important export for our country's economy are wrong, then the claim that caterpillars construct silken shelters by tying leaves together about midway up the host plant does not correspond with reality has no merit is true, it follows that temporary colostomy allows a newly reconstructed rectum to heal completely. Those that suggest temporary colostomy allows a newly reconstructed rectum to heal completely are wrong. Once we know the notion that 'if the statement 'if those that suggest education is also an important export for our country's economy are wrong, then either teeth have texture or short muscles have to work harder than long muscles in order to generate force for walking' can be considered false, then relativity is essential for describing objects which move rapidly - approaching the speed of light' is untrue, we also know that either some chromatin is part of nits or drug offenses contribute to nearly half of the increase in the female prison population. Some people mistakenly believe that either some chromatin is part of nits or drug offenses contribute to nearly half of the increase in the female prison population.
|
It is rational to agree that education is also an important export for our country's economy.
|
It is rational to agree that education is also an important export for our country's economy.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then (Either [3] or [4].).).), then [5]. [SC1-3]
Not [5].
Therefore, If (Not [0].), then (Either [3] or [4].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Either [3] or [4].).).), then [5].).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If (Not (If (Not [0].), then (Either [3] or [4].).).), then [5]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).). [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If (Not [0].), then (Not [1].).).).), then [6].
Not [6].
Therefore, Either [2] or (If (Not [0].), then (Not [1].).)..
|
{0: "Education is also an important export for our country's economy.", 1: 'Caterpillars construct silken shelters by tying leaves together about midway up the host plant.', 2: 'Rape is an infringement of our individual human rights and it is a violation of our dignity.', 3: 'Teeth have texture.', 4: 'Short muscles have to work harder than long muscles in order to generate force for walking.', 5: 'Relativity is essential for describing objects which move rapidly - approaching the speed of light.', 6: 'Temporary colostomy allows a newly reconstructed rectum to heal completely.', 7: 'Some chromatin is part of nits.', 8: 'Drug offenses contribute to nearly half of the increase in the female prison population.'}
| 6 |
5,566 |
['Those that suggest some husbands raise sons are right.', 'If human beings are persons both living and dead, as well as embryos, then if some husbands raise sons, then the claim that ambition is the avarice of power has no merit.', 'If morbid obesity is obesity, then human beings are persons both living and dead, as well as embryos.', "Whenever it is true that sexual assault is an issue that is widely misunderstood, 'surgery is a part of the osteopathic system, just as it is of all systems of medicine' is true.", 'Should it be the case that surgery is a part of the osteopathic system, just as it is of all systems of medicine, it follows that schools are the source of positive connections and academic and social growth.', 'Once we know schools are the source of positive connections and academic and social growth, we also know that if some husbands raise sons, then the claim that ambition is the avarice of power has no merit.', 'At least one of two things is true: either buds promote growth or cockatiels are very affectionate, gentle birds, or either morbid obesity is obesity or sexual assault is an issue that is widely misunderstood.', 'One may reasonably assume that if either buds promote growth or cockatiels are very affectionate, gentle birds, then gas exchange occurs in the gills.', 'Should it be the case that either buds promote growth or cockatiels are very affectionate, gentle birds, it follows that the claim that gas exchange occurs in the gills is false.']
|
Those that suggest some husbands raise sons are right. If human beings are persons both living and dead, as well as embryos, then if some husbands raise sons, then the claim that ambition is the avarice of power has no merit. If morbid obesity is obesity, then human beings are persons both living and dead, as well as embryos. Whenever it is true that sexual assault is an issue that is widely misunderstood, 'surgery is a part of the osteopathic system, just as it is of all systems of medicine' is true. Should it be the case that surgery is a part of the osteopathic system, just as it is of all systems of medicine, it follows that schools are the source of positive connections and academic and social growth. Once we know schools are the source of positive connections and academic and social growth, we also know that if some husbands raise sons, then the claim that ambition is the avarice of power has no merit. At least one of two things is true: either buds promote growth or cockatiels are very affectionate, gentle birds, or either morbid obesity is obesity or sexual assault is an issue that is widely misunderstood. One may reasonably assume that if either buds promote growth or cockatiels are very affectionate, gentle birds, then gas exchange occurs in the gills. Should it be the case that either buds promote growth or cockatiels are very affectionate, gentle birds, it follows that the claim that gas exchange occurs in the gills is false.
|
The claim that ambition is the avarice of power has no merit.
|
We can assume that ambition is the avarice of power.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[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].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [5] or [6]. [SC1-3]
If [5], then [2].
If [6], then [3].
Therefore, Either [2] or [3]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [5] or [6].).
Not (Either [7] or [8].). [SC2-4]
Therefore, Either [5] or [6]..
[SC2-4]
Reductio Ad Absurdum:
If (Either [7] or [8].), then [9].
If (Either [7] or [8].), then (Not [9].).
Therefore, Not (Either [7] or [8].)..
[SC3-2]
Hypothetical Syllogism:
If [3], then [4].
If [4], then (If [1], then (Not [0].).).
Therefore, If [3], then (If [1], then (Not [0].).)..
|
{0: 'Ambition is the avarice of power.', 1: 'Some husbands raise sons.', 2: 'Human beings are persons both living and dead, as well as embryos.', 3: 'Surgery is a part of the osteopathic system, just as it is of all systems of medicine.', 4: 'Schools are the source of positive connections and academic and social growth.', 5: 'Morbid obesity is obesity.', 6: 'Sexual assault is an issue that is widely misunderstood.', 7: 'Buds promote growth.', 8: 'Cockatiels are very affectionate, gentle birds.', 9: 'Gas exchange occurs in the gills.'}
| 6 |
5,542 |
['We know that either some physiological factors determine roles or safety relies on an integrated system of people, equipment, and procedures.', 'There is good reason to believe that either some organs detect stimuli or if some physiological factors determine roles, then senescence is regarded as a non-adaptive phenomenon.', 'We know that the claim that some organs detect stimuli is false.', "So long as spiritual hunger is a natural part of the human psyche, but so are self-centeredness and obstinacy, 'the statement 'senescence is regarded as a non-adaptive phenomenon' can be considered false' is true.", 'Provided that the claim that spiritual hunger is a natural part of the human psyche, but so are self-centeredness and obstinacy has no merit, we know that most commodity traders are intelligent, competitive individuals.', 'On the condition that most commodity traders are intelligent, competitive individuals, it is definitely the case that induction plays a key role in the aurora, as explained further below.', 'Should it be the case that most commodity traders are intelligent, competitive individuals, it follows that it is not the case that induction plays a key role in the aurora, as explained further below.']
|
We know that either some physiological factors determine roles or safety relies on an integrated system of people, equipment, and procedures. There is good reason to believe that either some organs detect stimuli or if some physiological factors determine roles, then senescence is regarded as a non-adaptive phenomenon. We know that the claim that some organs detect stimuli is false. So long as spiritual hunger is a natural part of the human psyche, but so are self-centeredness and obstinacy, 'the statement 'senescence is regarded as a non-adaptive phenomenon' can be considered false' is true. Provided that the claim that spiritual hunger is a natural part of the human psyche, but so are self-centeredness and obstinacy has no merit, we know that most commodity traders are intelligent, competitive individuals. On the condition that most commodity traders are intelligent, competitive individuals, it is definitely the case that induction plays a key role in the aurora, as explained further below. Should it be the case that most commodity traders are intelligent, competitive individuals, it follows that it is not the case that induction plays a key role in the aurora, as explained further below.
|
We can assume that safety relies on an integrated system of people, equipment, and procedures.
|
Safety is the number one issue when teaching a horse to lay down.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].).
Not [4].
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].).
[3] [SC2-3]
Therefore, Not [2]..
[SC2-3]
Modus Tonens:
If (Not [3].), then [5].
Not [5]. [SC2-4]
Therefore, [3].
[SC2-4]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
|
{0: 'Safety relies on an integrated system of people, equipment, and procedures.', 1: 'Some physiological factors determine roles.', 2: 'Senescence is regarded as a non-adaptive phenomenon.', 3: 'Spiritual hunger is a natural part of the human psyche, but so are self-centeredness and obstinacy.', 4: 'Some organs detect stimuli.', 5: 'Most commodity traders are intelligent, competitive individuals.', 6: 'Induction plays a key role in the aurora, as explained further below.'}
| 6 |
5,343 |
['When sheep are weird animals is true, it follows that if the statement, all exterminators use nearly the same insecticides, does not hold, then phytoplankton cause mass mortality in other ways.', "So long as war results in murder, 'if the statement, all exterminators use nearly the same insecticides, does not hold, then the statement 'phytoplankton cause mass mortality in other ways' can be considered false' is true.", 'We know that at least one of two things is true: small seeds have fruit, or either either righteousness is reached only through salvation, and salvation is by grace or animals add some carbon to sediments but it is usually a small amount compared to that from plants or sheep are weird animals.', 'Those that suggest small seeds have fruit are wrong.', 'It is a fact that either either cold air enters rooms or some birds depend on forests or if either righteousness is reached only through salvation, and salvation is by grace or animals add some carbon to sediments but it is usually a small amount compared to that from plants, then if the statement, all exterminators use nearly the same insecticides, does not hold, then phytoplankton cause mass mortality in other ways.', 'It is a common misconception that either cold air enters rooms or some birds depend on forests.', 'At least one of two things is true: either flour contains yeast or lipoproteins are large molecules that transport fat and cholesterol in the body, or war results in murder.', "The statement 'either flour contains yeast or lipoproteins are large molecules that transport fat and cholesterol in the body' can be considered false."]
|
When sheep are weird animals is true, it follows that if the statement, all exterminators use nearly the same insecticides, does not hold, then phytoplankton cause mass mortality in other ways. So long as war results in murder, 'if the statement, all exterminators use nearly the same insecticides, does not hold, then the statement 'phytoplankton cause mass mortality in other ways' can be considered false' is true. We know that at least one of two things is true: small seeds have fruit, or either either righteousness is reached only through salvation, and salvation is by grace or animals add some carbon to sediments but it is usually a small amount compared to that from plants or sheep are weird animals. Those that suggest small seeds have fruit are wrong. It is a fact that either either cold air enters rooms or some birds depend on forests or if either righteousness is reached only through salvation, and salvation is by grace or animals add some carbon to sediments but it is usually a small amount compared to that from plants, then if the statement, all exterminators use nearly the same insecticides, does not hold, then phytoplankton cause mass mortality in other ways. It is a common misconception that either cold air enters rooms or some birds depend on forests. At least one of two things is true: either flour contains yeast or lipoproteins are large molecules that transport fat and cholesterol in the body, or war results in murder. The statement 'either flour contains yeast or lipoproteins are large molecules that transport fat and cholesterol in the body' can be considered false.
|
It is reasonable to believe that all exterminators use nearly the same insecticides.
|
It is reasonable to believe that all exterminators use nearly the same insecticides.
|
TRUE
|
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 [5]. [SC1-2]
If (Either [3] or [4].), then (If (Not [0].), then [1].). [SC2-2]
If [5], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (Either (Either [3] or [4].) or [5].).
Not [8].
Therefore, Either (Either [3] or [4].) or [5]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If (Either [3] or [4].), then (If (Not [0].), then [1].).).
Not (Either [6] or [7].).
Therefore, If (Either [3] or [4].), 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]
Disjunctive Syllogism:
Either (Either [9] or [10].) or [2].
Not (Either [9] or [10].).
Therefore, [2].
|
{0: 'All exterminators use nearly the same insecticides.', 1: 'Phytoplankton cause mass mortality in other ways.', 2: 'War results in murder.', 3: 'Righteousness is reached only through salvation, and salvation is by grace.', 4: 'Animals add some carbon to sediments but it is usually a small amount compared to that from plants.', 5: 'Sheep are weird animals.', 6: 'Cold air enters rooms.', 7: 'Some birds depend on forests.', 8: 'Small seeds have fruit.', 9: 'Flour contains yeast.', 10: 'Lipoproteins are large molecules that transport fat and cholesterol in the body.'}
| 6 |
5,887 |
['It is not true that resistivity is a measure of how strongly a material opposes the flow of electric current .', "Whenever it is true that voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, 'reptiles has-part bones' is true.", 'There is good reason to believe that either appliances work on first principles or either some second joints are part of roosters or simple eyes have only one facet or lens and can distinguish no images, only light and dark.', 'Provided that appliances work on first principles, we know that resistivity is a measure of how strongly a material opposes the flow of electric current .', "Whenever it is true that either some second joints are part of roosters or simple eyes have only one facet or lens and can distinguish no images, only light and dark, 'either voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult or either homosexual activities are fornication or adultery, just like any sexual sin or many plant foods are much higher in calcium than milk' is true.", 'Either one or both of these statements are true: ants guard their eggs and prey, or if most widespread diseases are caused by viruses, then some kids naturally run on their heels instead of the balls of their feet.', 'Should it be the case that ants guard their eggs and prey, it follows that if voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, then it is not true that reptiles has-part bones.', 'Provided that either an aniseed is a seasoning or most birds shake beaks, we know that if if most widespread diseases are caused by viruses, then some kids naturally run on their heels instead of the balls of their feet, then if voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, then it is not true that reptiles has-part bones.', 'It is a fact that either an aniseed is a seasoning or most birds shake beaks.']
|
It is not true that resistivity is a measure of how strongly a material opposes the flow of electric current . Whenever it is true that voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, 'reptiles has-part bones' is true. There is good reason to believe that either appliances work on first principles or either some second joints are part of roosters or simple eyes have only one facet or lens and can distinguish no images, only light and dark. Provided that appliances work on first principles, we know that resistivity is a measure of how strongly a material opposes the flow of electric current . Whenever it is true that either some second joints are part of roosters or simple eyes have only one facet or lens and can distinguish no images, only light and dark, 'either voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult or either homosexual activities are fornication or adultery, just like any sexual sin or many plant foods are much higher in calcium than milk' is true. Either one or both of these statements are true: ants guard their eggs and prey, or if most widespread diseases are caused by viruses, then some kids naturally run on their heels instead of the balls of their feet. Should it be the case that ants guard their eggs and prey, it follows that if voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, then it is not true that reptiles has-part bones. Provided that either an aniseed is a seasoning or most birds shake beaks, we know that if if most widespread diseases are caused by viruses, then some kids naturally run on their heels instead of the balls of their feet, then if voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult, then it is not true that reptiles has-part bones. It is a fact that either an aniseed is a seasoning or most birds shake beaks.
|
It is a fact that either homosexual activities are fornication or adultery, just like any sexual sin or many plant foods are much higher in calcium than milk.
|
It is not the case that either homosexual activities are fornication or adultery, just like any sexual sin or many plant foods are much higher in calcium than milk.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or (Either [0] or [1].).). [SC1-2]
Not [4].
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Constructive Dilemma:
Either [5] or (Either [6] or [7].).
If [5], then [4].
If (Either [6] or [7].), then (Either [2] or (Either [0] or [1].).).
Therefore, Either [4] or (Either [2] or (Either [0] or [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If [2], then [3].
If [2], then (Not [3].). [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If [2], then (Not [3].).).
If (If [9], then [10].), then (If [2], then (Not [3].).). [SC3-3]
Therefore, If [2], then (Not [3].)..
[SC3-3]
Modus Ponens:
If (Either [11] or [12].), then (If (If [9], then [10].), then (If [2], then (Not [3].).).).
Either [11] or [12].
Therefore, If (If [9], then [10].), then (If [2], then (Not [3].).)..
|
{0: 'Homosexual activities are fornication or adultery, just like any sexual sin.', 1: 'Many plant foods are much higher in calcium than milk.', 2: 'Voles usually damage plants at or just beneath the soil surface, making adequate coverage difficult.', 3: 'Reptiles has-part bones.', 4: 'Resistivity is a measure of how strongly a material opposes the flow of electric current .', 5: 'Appliances work on first principles.', 6: 'Some second joints are part of roosters.', 7: 'Simple eyes have only one facet or lens and can distinguish no images, only light and dark.', 8: 'Ants guard their eggs and prey.', 9: 'Most widespread diseases are caused by viruses.', 10: 'Some kids naturally run on their heels instead of the balls of their feet.', 11: 'An aniseed is a seasoning.', 12: 'Most birds shake beaks.'}
| 6 |
5,997 |
['We know that either many chemicals deteriorate with time or all water comes from melting snow and ice which has to be collected.', "Whenever it is true that many chemicals deteriorate with time, 'either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds' is true.", "So long as many genera are agile and extremely graceful in their movements, 'it is not the case that interpretive signs raise some issues about 'wilderness' and what it means to different people' is true.", 'The idea that many genera are agile and extremely graceful in their movements is true.', "When the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then flash memory is simply non-volatile storage memory does not reflect reality is true, it follows that white cells are part of the immune system.", "One may reasonably assume that if the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then flash memory is simply non-volatile storage memory does not reflect reality, then the statement that states white cells are part of the immune system is false.", "So long as the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then the claim that flash memory is simply non-volatile storage memory does not correspond with reality is false, 'aldosterone acts on the kidney to make it hold on to sodium and water' is true.", 'The claim that aldosterone acts on the kidney to make it hold on to sodium and water does not correspond with reality.']
|
We know that either many chemicals deteriorate with time or all water comes from melting snow and ice which has to be collected. Whenever it is true that many chemicals deteriorate with time, 'either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds' is true. So long as many genera are agile and extremely graceful in their movements, 'it is not the case that interpretive signs raise some issues about 'wilderness' and what it means to different people' is true. The idea that many genera are agile and extremely graceful in their movements is true. When the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then flash memory is simply non-volatile storage memory does not reflect reality is true, it follows that white cells are part of the immune system. One may reasonably assume that if the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then flash memory is simply non-volatile storage memory does not reflect reality, then the statement that states white cells are part of the immune system is false. So long as the claim that if the statement that states if all water comes from melting snow and ice which has to be collected, then either interpretive signs raise some issues about 'wilderness' and what it means to different people or most male goats weigh pounds is false, then the claim that flash memory is simply non-volatile storage memory does not correspond with reality is false, 'aldosterone acts on the kidney to make it hold on to sodium and water' is true. The claim that aldosterone acts on the kidney to make it hold on to sodium and water does not correspond with reality.
|
It is the case that most male goats weigh pounds.
|
Male goats have an offensive odor, especially during the mating season.
|
Uncertain
|
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].).
If [3], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [1] or [0].).).), then [5]. [SC1-3]
If (Not (If [3], then (Either [1] or [0].).).), then (Not [5].). [SC2-3]
Therefore, If [3], then (Either [1] or [0].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (Either [1] or [0].).).), then [5].).), then [7].
If (Not (If (Not (If [3], then (Either [1] or [0].).).), then [5].).), then (Not [7].).
Therefore, If (Not (If [3], then (Either [1] or [0].).).), then [5]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If [3], then (Either [1] or [0].).).), then (Not [5].).).), then [6].
Not [6].
Therefore, If (Not (If [3], then (Either [1] or [0].).).), then (Not [5].)..
[SC2-1]
Modus Ponens:
If [4], then (Not [1].).
[4]
Therefore, Not [1]..
|
{0: 'Most male goats weigh pounds.', 1: "Interpretive signs raise some issues about 'wilderness' and what it means to different people.", 2: 'Many chemicals deteriorate with time.', 3: 'All water comes from melting snow and ice which has to be collected.', 4: 'Many genera are agile and extremely graceful in their movements.', 5: 'Flash memory is simply non-volatile storage memory.', 6: 'Aldosterone acts on the kidney to make it hold on to sodium and water.', 7: 'White cells are part of the immune system.'}
| 6 |
5,825 |
['There is good reason to believe that either regression is the opposite, the retreat of a feature from the land or if many gardeners have evergreen trees growing in their yards from which to cut clippings, then hummingbirds are friendly birds that can do amazing feats.', "One may reasonably assume that if if many gardeners have evergreen trees growing in their yards from which to cut clippings, then hummingbirds are friendly birds that can do amazing feats, then the notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue.", 'We know that at least one of two things is true: a headstone is a building block, or depression affects employees productivity, judgment and ability to work with others.', "So long as a headstone is a building block, 'if regression is the opposite, the retreat of a feature from the land, then either plant form is compact, round-oval in form or smile is the longest word in the English language' is true.", "Whenever it is true that depression affects employees productivity, judgment and ability to work with others, 'if regression is the opposite, the retreat of a feature from the land, then either plant form is compact, round-oval in form or smile is the longest word in the English language' is true.", 'It is not true that carbohydrates find in fruit.', "Given that the statement, either carbohydrates find in fruit or if either plant form is compact, round-oval in form or smile is the longest word in the English language, then the notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue, does not hold, it can be inferred that wind turbines generate electricity in Palm Springs, California.", 'Assuming either statistics is the systematic collection and display of numerical data or addiction is a disease that knows nothing about class, race, age, we know that it is not the case that wind turbines generate electricity in Palm Springs, California.', 'At least one of two things is true: statistics is the systematic collection and display of numerical data, or addiction is a disease that knows nothing about class, race, age.']
|
There is good reason to believe that either regression is the opposite, the retreat of a feature from the land or if many gardeners have evergreen trees growing in their yards from which to cut clippings, then hummingbirds are friendly birds that can do amazing feats. One may reasonably assume that if if many gardeners have evergreen trees growing in their yards from which to cut clippings, then hummingbirds are friendly birds that can do amazing feats, then the notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue. We know that at least one of two things is true: a headstone is a building block, or depression affects employees productivity, judgment and ability to work with others. So long as a headstone is a building block, 'if regression is the opposite, the retreat of a feature from the land, then either plant form is compact, round-oval in form or smile is the longest word in the English language' is true. Whenever it is true that depression affects employees productivity, judgment and ability to work with others, 'if regression is the opposite, the retreat of a feature from the land, then either plant form is compact, round-oval in form or smile is the longest word in the English language' is true. It is not true that carbohydrates find in fruit. Given that the statement, either carbohydrates find in fruit or if either plant form is compact, round-oval in form or smile is the longest word in the English language, then the notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue, does not hold, it can be inferred that wind turbines generate electricity in Palm Springs, California. Assuming either statistics is the systematic collection and display of numerical data or addiction is a disease that knows nothing about class, race, age, we know that it is not the case that wind turbines generate electricity in Palm Springs, California. At least one of two things is true: statistics is the systematic collection and display of numerical data, or addiction is a disease that knows nothing about class, race, age.
|
The notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue.
|
The notion that 'shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years' is untrue.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If [1], then (Either [4] or [5].). [SC1-2]
If (Either [4] or [5].), then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [1], then (Either [4] or [5].).).
If [7], then (If [1], then (Either [4] or [5].).).
Therefore, If [1], then (Either [4] or [5].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (If (Either [4] or [5].), then (Not [0].).). [SC1-3]
Not [8].
Therefore, If (Either [4] or [5].), then (Not [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either [8] or (If (Either [4] or [5].), then (Not [0].).).).), then [9].
Not [9]. [SC2-4]
Therefore, Either [8] or (If (Either [4] or [5].), then (Not [0].).)..
[SC2-4]
Modus Ponens:
If (Either [10] or [11].), then (Not [9].).
Either [10] or [11].
Therefore, Not [9]..
|
{0: "Shamanism is the world's oldest spiritual tradition that has beenpracticed for thousands of years.", 1: 'Regression is the opposite, the retreat of a feature from the land.', 2: 'Many gardeners have evergreen trees growing in their yards from which to cut clippings.', 3: 'Hummingbirds are friendly birds that can do amazing feats.', 4: 'Plant form is compact, round-oval in form.', 5: 'Smile is the longest word in the English language.', 6: 'A headstone is a building block.', 7: 'Depression affects employees productivity, judgment and ability to work with others.', 8: 'Carbohydrates find in fruit.', 9: 'Wind turbines generate electricity in Palm Springs, California.', 10: 'Statistics is the systematic collection and display of numerical data.', 11: 'Addiction is a disease that knows nothing about class, race, age.'}
| 6 |
5,056 |
["It is a fact that either dracunculiasis is a debilitating parasitic disease also known as guinea worm disease or bobcats live in the lush habitat of the park's coniferous forest.", 'Once we know dracunculiasis is a debilitating parasitic disease also known as guinea worm disease, we also know that activities require resources.', 'It is a fact that either every state has laws dealing with child neglect and abandonment or shelters are popular gathering places for family reunions, picnics, and birthday parties.', "Once we know every state has laws dealing with child neglect and abandonment, we also know that if bacteria are the oldest group of organisms on Earth, then if bobcats live in the lush habitat of the park's coniferous forest, then activities require resources.", "Once we know shelters are popular gathering places for family reunions, picnics, and birthday parties, we also know that if bacteria are the oldest group of organisms on Earth, then if bobcats live in the lush habitat of the park's coniferous forest, then activities require resources.", 'Those that suggest a ratite is a bird are wrong.', 'It is a simple truth that widows have (part) vacuoles.', 'It is rational to believe that either organisms have different roles or if widows have (part) vacuoles, then either a ratite is a bird or bacteria are the oldest group of organisms on Earth.', 'Those that suggest organisms have different roles are wrong.']
|
It is a fact that either dracunculiasis is a debilitating parasitic disease also known as guinea worm disease or bobcats live in the lush habitat of the park's coniferous forest. Once we know dracunculiasis is a debilitating parasitic disease also known as guinea worm disease, we also know that activities require resources. It is a fact that either every state has laws dealing with child neglect and abandonment or shelters are popular gathering places for family reunions, picnics, and birthday parties. Once we know every state has laws dealing with child neglect and abandonment, we also know that if bacteria are the oldest group of organisms on Earth, then if bobcats live in the lush habitat of the park's coniferous forest, then activities require resources. Once we know shelters are popular gathering places for family reunions, picnics, and birthday parties, we also know that if bacteria are the oldest group of organisms on Earth, then if bobcats live in the lush habitat of the park's coniferous forest, then activities require resources. Those that suggest a ratite is a bird are wrong. It is a simple truth that widows have (part) vacuoles. It is rational to believe that either organisms have different roles or if widows have (part) vacuoles, then either a ratite is a bird or bacteria are the oldest group of organisms on Earth. Those that suggest organisms have different roles are wrong.
|
The statement that states activities require resources is right.
|
Activities result in water resources.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].). [SC1-2]
[3] [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (If [2], then [0].).).
If [6], then (If [3], then (If [2], then [0].).).
Therefore, If [3], then (If [2], then [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [3]. [SC1-3]
Not [4].
Therefore, [3].
[SC1-3]
Modus Ponens:
If [7], then (Either [4] or [3].). [SC1-4]
[7]
Therefore, Either [4] or [3]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [7], then (Either [4] or [3].).).
Not [8].
Therefore, If [7], then (Either [4] or [3].)..
|
{0: 'Activities require resources.', 1: 'Dracunculiasis is a debilitating parasitic disease also known as guinea worm disease.', 2: "Bobcats live in the lush habitat of the park's coniferous forest.", 3: 'Bacteria are the oldest group of organisms on Earth.', 4: 'A ratite is a bird.', 5: 'Every state has laws dealing with child neglect and abandonment.', 6: 'Shelters are popular gathering places for family reunions, picnics, and birthday parties.', 7: 'Widows have (part) vacuoles.', 8: 'Organisms have different roles.'}
| 6 |
5,400 |
['Assuming the claim that if birds Can Fly, then most ducts contain substances is false, we know that either insanity is curable if there are no incurable results of disease or many primates are actually active throughout a twenty-four hour period on a sporadic basis.', 'Either one or both of these statements are true: either bucks grow new antlers each year or animals go into heat, or those that suggest most ducts contain substances are wrong.', 'It is rational to believe that either colors consist of various shades of bold blue, white, reds, and green or the claim that either insanity is curable if there are no incurable results of disease or many primates are actually active throughout a twenty-four hour period on a sporadic basis is false.', "The statement 'colors consist of various shades of bold blue, white, reds, and green' can be considered false.", 'Assuming either bucks grow new antlers each year or animals go into heat, we know that laser surgery is a modern technique that can only be used on soft tissue.', 'There is good reason to believe that either maskings are sensation or those that suggest laser surgery is a modern technique that can only be used on soft tissue are wrong.', 'The claim that maskings are sensation does not reflect reality.']
|
Assuming the claim that if birds Can Fly, then most ducts contain substances is false, we know that either insanity is curable if there are no incurable results of disease or many primates are actually active throughout a twenty-four hour period on a sporadic basis. Either one or both of these statements are true: either bucks grow new antlers each year or animals go into heat, or those that suggest most ducts contain substances are wrong. It is rational to believe that either colors consist of various shades of bold blue, white, reds, and green or the claim that either insanity is curable if there are no incurable results of disease or many primates are actually active throughout a twenty-four hour period on a sporadic basis is false. The statement 'colors consist of various shades of bold blue, white, reds, and green' can be considered false. Assuming either bucks grow new antlers each year or animals go into heat, we know that laser surgery is a modern technique that can only be used on soft tissue. There is good reason to believe that either maskings are sensation or those that suggest laser surgery is a modern technique that can only be used on soft tissue are wrong. The claim that maskings are sensation does not reflect reality.
|
It is not true that birds Can Fly.
|
It is not true that birds Can Fly.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (Either [2] or [3].).
Not (Either [2] or [3].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not (Either [2] or [3].).).
Not [6].
Therefore, Not (Either [2] or [3].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Not [1].).
Not (Either [4] or [5].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Either [4] or [5].), then [7].
Not [7]. [SC2-3]
Therefore, Not (Either [4] or [5].)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not [7].).
Not [8].
Therefore, Not [7]..
|
{0: 'Birds Can Fly.', 1: 'Most ducts contain substances.', 2: 'Insanity is curable if there are no incurable results of disease.', 3: 'Many primates are actually active throughout a twenty-four hour period on a sporadic basis.', 4: 'Bucks grow new antlers each year.', 5: 'Animals go into heat.', 6: 'Colors consist of various shades of bold blue, white, reds, and green.', 7: 'Laser surgery is a modern technique that can only be used on soft tissue.', 8: 'Maskings are sensation.'}
| 6 |
5,572 |
['Provided that it is not the case that if a high explosive is an explosive, then implantation is a surgical procedure, we know that some winter storms push arctic air mass.', 'On the condition that an art school is a school, it is definitely the case that if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure.', 'There is good reason to believe that either libertarians believe that being free and indepen-dent is a great way to live or many different factors affect the density of air.', 'Once we know libertarians believe that being free and indepen-dent is a great way to live, we also know that those that suggest some winter storms push arctic air mass are wrong.', "So long as many different factors affect the density of air, 'those that suggest some winter storms push arctic air mass are wrong' is true.", 'Either hyperbaric oxygen reduces vischemla-induced skeletal muscle Injury or storage mediums are mediums.', 'Provided that hyperbaric oxygen reduces vischemla-induced skeletal muscle Injury, we know that some corrosives are toxic and can cause other health problems.', 'When storage mediums are mediums is true, it follows that an art school is a school.', 'We know that either heart murmurs occur a result of turbulent blood flow or either wind power emits no pollution and has little impact on the land or crystal isa matter.', 'Should it be the case that heart murmurs occur a result of turbulent blood flow, it follows that if some corrosives are toxic and can cause other health problems, then if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure.', 'Should it be the case that either wind power emits no pollution and has little impact on the land or crystal isa matter, it follows that if some corrosives are toxic and can cause other health problems, then if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure.']
|
Provided that it is not the case that if a high explosive is an explosive, then implantation is a surgical procedure, we know that some winter storms push arctic air mass. On the condition that an art school is a school, it is definitely the case that if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure. There is good reason to believe that either libertarians believe that being free and indepen-dent is a great way to live or many different factors affect the density of air. Once we know libertarians believe that being free and indepen-dent is a great way to live, we also know that those that suggest some winter storms push arctic air mass are wrong. So long as many different factors affect the density of air, 'those that suggest some winter storms push arctic air mass are wrong' is true. Either hyperbaric oxygen reduces vischemla-induced skeletal muscle Injury or storage mediums are mediums. Provided that hyperbaric oxygen reduces vischemla-induced skeletal muscle Injury, we know that some corrosives are toxic and can cause other health problems. When storage mediums are mediums is true, it follows that an art school is a school. We know that either heart murmurs occur a result of turbulent blood flow or either wind power emits no pollution and has little impact on the land or crystal isa matter. Should it be the case that heart murmurs occur a result of turbulent blood flow, it follows that if some corrosives are toxic and can cause other health problems, then if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure. Should it be the case that either wind power emits no pollution and has little impact on the land or crystal isa matter, it follows that if some corrosives are toxic and can cause other health problems, then if a high explosive is an explosive, then it is a common misconception that implantation is a surgical procedure.
|
The statement 'a high explosive is an explosive' can be considered false.
|
It is true that a high explosive is an explosive.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [4].
Not [4]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [4].).
If [9], then (Not [4].).
Therefore, Not [4]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [0], then (Not [1].).). [SC2-2]
If [3], then (If [0], then (Not [1].).).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either [10] or [11].
If [10], then [2].
If [11], then [3].
Therefore, Either [2] or [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If [2], then (If [0], then (Not [1].).).).
If (Either [6] or [7].), then (If [2], then (If [0], then (Not [1].).).).
Therefore, If [2], then (If [0], then (Not [1].).)..
|
{0: 'A high explosive is an explosive.', 1: 'Implantation is a surgical procedure.', 2: 'Some corrosives are toxic and can cause other health problems.', 3: 'An art school is a school.', 4: 'Some winter storms push arctic air mass.', 5: 'Heart murmurs occur a result of turbulent blood flow.', 6: 'Wind power emits no pollution and has little impact on the land.', 7: 'Crystal isa matter.', 8: 'Libertarians believe that being free and indepen-dent is a great way to live.', 9: 'Many different factors affect the density of air.', 10: 'Hyperbaric oxygen reduces vischemla-induced skeletal muscle Injury.', 11: 'Storage mediums are mediums.'}
| 6 |
5,473 |
['Once we know the statement, either obesity is a huge problem or mediation is a shared problem solving process, does not hold, we also know that most mammals have uteruses.', 'It is not the case that most mammals have uteruses.', 'If obesity is a huge problem, then an ethnic group is a group.', "Whenever it is true that the notion that 'if obesity is a huge problem, then the claim that an ethnic group is a group does not reflect reality' is untrue, 'if goods produce within geographic locations, then information is also a novel key concept in the scientific understanding of reality' is true.", "Assuming the notion that 'if obesity is a huge problem, then the claim that an ethnic group is a group does not reflect reality' is untrue, we know that organic energy can also move from one ecosystem to another by a variety of processes.", "Whenever it is true that it is not true that if organic energy can also move from one ecosystem to another by a variety of processes, then those that suggest if goods produce within geographic locations, then information is also a novel key concept in the scientific understanding of reality are wrong, 'either supermans have (part) heads or knifes are used for carving' is true.", "The statement that 'either supermans have (part) heads or knifes are used for carving' is incorrect."]
|
Once we know the statement, either obesity is a huge problem or mediation is a shared problem solving process, does not hold, we also know that most mammals have uteruses. It is not the case that most mammals have uteruses. If obesity is a huge problem, then an ethnic group is a group. Whenever it is true that the notion that 'if obesity is a huge problem, then the claim that an ethnic group is a group does not reflect reality' is untrue, 'if goods produce within geographic locations, then information is also a novel key concept in the scientific understanding of reality' is true. Assuming the notion that 'if obesity is a huge problem, then the claim that an ethnic group is a group does not reflect reality' is untrue, we know that organic energy can also move from one ecosystem to another by a variety of processes. Whenever it is true that it is not true that if organic energy can also move from one ecosystem to another by a variety of processes, then those that suggest if goods produce within geographic locations, then information is also a novel key concept in the scientific understanding of reality are wrong, 'either supermans have (part) heads or knifes are used for carving' is true. The statement that 'either supermans have (part) heads or knifes are used for carving' is incorrect.
|
Those that suggest mediation is a shared problem solving process are right.
|
Those that suggest mediation is a shared problem solving process are right.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [3].
Not [3].
Therefore, Either [1] or [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then (If [4], then [5].).
If (Not (If [1], then (Not [2].).).), then (Not (If [4], then [5].).). [SC2-3]
Therefore, If [1], then (Not [2].)..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [1], then (Not [2].).).), then [6].
If [6], then (Not (If [4], then [5].).). [SC2-4]
Therefore, If (Not (If [1], then (Not [2].).).), then (Not (If [4], then [5].).)..
[SC2-4]
Modus Tonens:
If (Not (If [6], then (Not (If [4], then [5].).).).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If [6], then (Not (If [4], then [5].).)..
|
{0: 'Mediation is a shared problem solving process.', 1: 'Obesity is a huge problem.', 2: 'An ethnic group is a group.', 3: 'Most mammals have uteruses.', 4: 'Goods produce within geographic locations.', 5: 'Information is also a novel key concept in the scientific understanding of reality.', 6: 'Organic energy can also move from one ecosystem to another by a variety of processes.', 7: 'Supermans have (part) heads.', 8: 'Knifes are used for carving.'}
| 6 |
5,468 |
['On the condition that most transit agencies allow people with folding bikes aboard their vehicles, it is definitely the case that if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then multiculturalism involves the principle of mutual obligation.', 'If bugs have (part) brains, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then multiculturalism involves the principle of mutual obligation.', 'Either one or both of these statements are true: many commercial chemicals possess antiandrogenic activity, or most small birds eat insects.', 'Once we know most small birds eat insects, we also know that if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality.', "Given that those that suggest either most transit agencies allow people with folding bikes aboard their vehicles or bugs have (part) brains are wrong, it can be inferred that babies vomit when they've had too much to eat.", "The statement 'babies vomit when they've had too much to eat' can be considered false.", 'It is fair to say that light travels through space as waves of different lengths.', 'It is a fact that either women are in the workforce in massive numbers, and business is dependent on their skills or repeaters are electronic devices.', 'When women are in the workforce in massive numbers, and business is dependent on their skills is true, it follows that if light travels through space as waves of different lengths, then if many commercial chemicals possess antiandrogenic activity, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality.', "So long as repeaters are electronic devices, 'if light travels through space as waves of different lengths, then if many commercial chemicals possess antiandrogenic activity, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality' is true."]
|
On the condition that most transit agencies allow people with folding bikes aboard their vehicles, it is definitely the case that if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then multiculturalism involves the principle of mutual obligation. If bugs have (part) brains, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then multiculturalism involves the principle of mutual obligation. Either one or both of these statements are true: many commercial chemicals possess antiandrogenic activity, or most small birds eat insects. Once we know most small birds eat insects, we also know that if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality. Given that those that suggest either most transit agencies allow people with folding bikes aboard their vehicles or bugs have (part) brains are wrong, it can be inferred that babies vomit when they've had too much to eat. The statement 'babies vomit when they've had too much to eat' can be considered false. It is fair to say that light travels through space as waves of different lengths. It is a fact that either women are in the workforce in massive numbers, and business is dependent on their skills or repeaters are electronic devices. When women are in the workforce in massive numbers, and business is dependent on their skills is true, it follows that if light travels through space as waves of different lengths, then if many commercial chemicals possess antiandrogenic activity, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality. So long as repeaters are electronic devices, 'if light travels through space as waves of different lengths, then if many commercial chemicals possess antiandrogenic activity, then if those that suggest if public transport is part of transportation systems, then every person has the right to equal individual dignity and worth are wrong, then the claim that multiculturalism involves the principle of mutual obligation does not correspond with reality' is true.
|
When public transport is part of transportation systems is true, it follows that every person has the right to equal individual dignity and worth.
|
When public transport is part of transportation systems is true, it follows that every person has the right to equal individual dignity and worth.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not (If [0], then [1].).), then [2].).
If [4], then (If (Not (If [0], then [1].).), then [2].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [8].
Not [8].
Therefore, Either [3] or [4]..
[SC2-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC2-2]
If [6], then (If (Not (If [0], then [1].).), then (Not [2].).).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [7], then (If [5], then (If (Not (If [0], then [1].).), then (Not [2].).).). [SC1-3]
[7]
Therefore, If [5], then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [7], then (If [5], then (If (Not (If [0], then [1].).), then (Not [2].).).).).
If [10], then (If [7], then (If [5], then (If (Not (If [0], then [1].).), then (Not [2].).).).).
Therefore, If [7], then (If [5], then (If (Not (If [0], then [1].).), then (Not [2].).).)..
|
{0: 'Public transport is part of transportation systems.', 1: 'Every person has the right to equal individual dignity and worth.', 2: 'Multiculturalism involves the principle of mutual obligation.', 3: 'Most transit agencies allow people with folding bikes aboard their vehicles.', 4: 'Bugs have (part) brains.', 5: 'Many commercial chemicals possess antiandrogenic activity.', 6: 'Most small birds eat insects.', 7: 'Light travels through space as waves of different lengths.', 8: "Babies vomit when they've had too much to eat.", 9: 'Women are in the workforce in massive numbers, and business is dependent on their skills.', 10: 'Repeaters are electronic devices.'}
| 6 |
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