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| question
stringlengths 14
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6,687 |
['Either one or both of these statements are true: if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium, or it is a common misconception that mouse cursor is gun sight.', "We know that either either jackals are very vocal animals or cold packs used in sports are examples of chemical energy or if we know that the claim that either mouse cursor is gun sight or the notion that 'biology is the scientific study of life' is untrue is false, then fins continue to increase in value as an ingredient in shark fin soup.", 'It is not true that either jackals are very vocal animals or cold packs used in sports are examples of chemical energy.', 'It is rational to believe that either either black pepper has the distinction of being an important spice all over the world or blood dyscrasias cause bleeding due to inability of the blood to clot or if food plays vital roles, then sodium salts preserve mummies.', "Once we know if food plays vital roles, then sodium salts preserve mummies, we also know that the statement that 'fins continue to increase in value as an ingredient in shark fin soup' is incorrect.", 'Either one or both of these statements are true: stress is a restrictive, confining emotion and it interferes with proper nerve function, or advertisements are, by definition and design, vehicles for conveying information.', "Should it be the case that stress is a restrictive, confining emotion and it interferes with proper nerve function, it follows that the statement 'if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium' can be considered false.", "Once we know advertisements are, by definition and design, vehicles for conveying information, we also know that the statement 'if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium' can be considered false.", "So long as either black pepper has the distinction of being an important spice all over the world or blood dyscrasias cause bleeding due to inability of the blood to clot, 'flammable liquids Store all flammable liquids away from equipment and appliances' is true.", "Whenever it is true that flammable liquids Store all flammable liquids away from equipment and appliances, 'the statement that 'fins continue to increase in value as an ingredient in shark fin soup' is incorrect' is true."]
|
Either one or both of these statements are true: if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium, or it is a common misconception that mouse cursor is gun sight. We know that either either jackals are very vocal animals or cold packs used in sports are examples of chemical energy or if we know that the claim that either mouse cursor is gun sight or the notion that 'biology is the scientific study of life' is untrue is false, then fins continue to increase in value as an ingredient in shark fin soup. It is not true that either jackals are very vocal animals or cold packs used in sports are examples of chemical energy. It is rational to believe that either either black pepper has the distinction of being an important spice all over the world or blood dyscrasias cause bleeding due to inability of the blood to clot or if food plays vital roles, then sodium salts preserve mummies. Once we know if food plays vital roles, then sodium salts preserve mummies, we also know that the statement that 'fins continue to increase in value as an ingredient in shark fin soup' is incorrect. Either one or both of these statements are true: stress is a restrictive, confining emotion and it interferes with proper nerve function, or advertisements are, by definition and design, vehicles for conveying information. Should it be the case that stress is a restrictive, confining emotion and it interferes with proper nerve function, it follows that the statement 'if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium' can be considered false. Once we know advertisements are, by definition and design, vehicles for conveying information, we also know that the statement 'if tribology is the study of surfaces, friction, lubrication, and wear of materials in contact, then ammonia is basic and raises the pH of the medium' can be considered false. So long as either black pepper has the distinction of being an important spice all over the world or blood dyscrasias cause bleeding due to inability of the blood to clot, 'flammable liquids Store all flammable liquids away from equipment and appliances' is true. Whenever it is true that flammable liquids Store all flammable liquids away from equipment and appliances, 'the statement that 'fins continue to increase in value as an ingredient in shark fin soup' is incorrect' is true.
|
The notion that 'biology is the scientific study of life' is untrue.
|
The notion that 'biology is the scientific study of life' is untrue.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either (Either [11] or [12].) or (If (Not (Either [1] or (Not [0].).).), then [2].).
Not (Either [11] or [12].).
Therefore, If (Not (Either [1] or (Not [0].).).), then [2]..
[SC2-2]
Disjunction Elimination:
Either (Either [7] or [8].) or (If [9], then [10].).
If (Either [7] or [8].), then (Not [2].). [SC2-3]
If (If [9], then [10].), then (Not [2].).
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If (Either [7] or [8].), then [13].
If [13], then (Not [2].).
Therefore, If (Either [7] or [8].), then (Not [2].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [1].).
Not (If [3], then [4].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not (If [3], then [4].).).
If [6], then (Not (If [3], then [4].).).
Therefore, Not (If [3], then [4].)..
|
{0: 'Biology is the scientific study of life.', 1: 'Mouse cursor is gun sight.', 2: 'Fins continue to increase in value as an ingredient in shark fin soup.', 3: 'Tribology is the study of surfaces, friction, lubrication, and wear of materials in contact.', 4: 'Ammonia is basic and raises the pH of the medium.', 5: 'Stress is a restrictive, confining emotion and it interferes with proper nerve function.', 6: 'Advertisements are, by definition and design, vehicles for conveying information.', 7: 'Black pepper has the distinction of being an important spice all over the world.', 8: 'Blood dyscrasias cause bleeding due to inability of the blood to clot.', 9: 'Food plays vital roles.', 10: 'Sodium salts preserve mummies.', 11: 'Jackals are very vocal animals.', 12: 'Cold packs used in sports are examples of chemical energy.', 13: 'Flammable liquids Store all flammable liquids away from equipment and appliances.'}
| 7 |
6,500 |
['The claim that art is a repository of truth and light does not reflect reality.', 'It is rational to believe that either organic fertilizers keep plants healthy or if the claim that dark color indicates soil contains much nitrogen and organic matter does not correspond with reality, then art is a repository of truth and light.', 'At least one of two things is true: latex allergies can be life-threatening and endanger the public health and safety, or if energy transfer is the conveyance of energy from one item to another, then the claim that organic fertilizers keep plants healthy has no merit.', 'It is not the case that latex allergies can be life-threatening and endanger the public health and safety.', 'Given that it is not true that either uncles have (part) cytoplasm or energy transfer is the conveyance of energy from one item to another, it can be inferred that selfishness is just the logical outcome, and the logical way to think, feel, and behave.', 'On the condition that it is not true that either uncles have (part) cytoplasm or energy transfer is the conveyance of energy from one item to another, it is definitely the case that those that suggest selfishness is just the logical outcome, and the logical way to think, feel, and behave are wrong.', 'We know that at least one of two things is true: if smallpox is the only disease that has been completely eradicated, then heterotrophs eat ready - made complex organic food, or exotoxins are toxins.', 'If if smallpox is the only disease that has been completely eradicated, then heterotrophs eat ready - made complex organic food, then the claim that uncles have (part) cytoplasm does not correspond with reality.', "Whenever it is true that exotoxins are toxins, 'the claim that uncles have (part) cytoplasm does not correspond with reality' is true."]
|
The claim that art is a repository of truth and light does not reflect reality. It is rational to believe that either organic fertilizers keep plants healthy or if the claim that dark color indicates soil contains much nitrogen and organic matter does not correspond with reality, then art is a repository of truth and light. At least one of two things is true: latex allergies can be life-threatening and endanger the public health and safety, or if energy transfer is the conveyance of energy from one item to another, then the claim that organic fertilizers keep plants healthy has no merit. It is not the case that latex allergies can be life-threatening and endanger the public health and safety. Given that it is not true that either uncles have (part) cytoplasm or energy transfer is the conveyance of energy from one item to another, it can be inferred that selfishness is just the logical outcome, and the logical way to think, feel, and behave. On the condition that it is not true that either uncles have (part) cytoplasm or energy transfer is the conveyance of energy from one item to another, it is definitely the case that those that suggest selfishness is just the logical outcome, and the logical way to think, feel, and behave are wrong. We know that at least one of two things is true: if smallpox is the only disease that has been completely eradicated, then heterotrophs eat ready - made complex organic food, or exotoxins are toxins. If if smallpox is the only disease that has been completely eradicated, then heterotrophs eat ready - made complex organic food, then the claim that uncles have (part) cytoplasm does not correspond with reality. Whenever it is true that exotoxins are toxins, 'the claim that uncles have (part) cytoplasm does not correspond with reality' is true.
|
It is the case that dark color indicates soil contains much nitrogen and organic matter.
|
It is the case that dark color indicates soil contains much nitrogen and organic matter.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [2].).).
Not [4].
Therefore, If [3], then (Not [2].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or [3]. [SC1-4]
Not [5]. [SC2-4]
Therefore, [3].
[SC1-4]
Reductio Ad Absurdum:
If (Not (Either [5] or [3].).), then [9].
If (Not (Either [5] or [3].).), then (Not [9].).
Therefore, Either [5] or [3]..
[SC2-4]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (Not [5].).
If [8], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Dark color indicates soil contains much nitrogen and organic matter.', 1: 'Art is a repository of truth and light.', 2: 'Organic fertilizers keep plants healthy.', 3: 'Energy transfer is the conveyance of energy from one item to another.', 4: 'Latex allergies can be life-threatening and endanger the public health and safety.', 5: 'Uncles have (part) cytoplasm.', 6: 'Smallpox is the only disease that has been completely eradicated.', 7: 'Heterotrophs eat ready - made complex organic food.', 8: 'Exotoxins are toxins.', 9: 'Selfishness is just the logical outcome, and the logical way to think, feel, and behave.'}
| 7 |
6,332 |
['Either one or both of these statements are true: if easy money leads to inflation in any century, then fishing mortality is variable, dependent on observed fishing effort, or arab men are liars and homosexuals.', 'Should it be the case that if easy money leads to inflation in any century, then fishing mortality is variable, dependent on observed fishing effort, it follows that plankton are unable to move significant distances against horizontally-flowing currents.', 'When parasitic diseases are often more virulent when they emerge, and then decrease over time is true, it follows that plankton are unable to move significant distances against horizontally-flowing currents.', 'Once we know the claim that if those that suggest if arab men are liars and homosexuals, then parasitic diseases are often more virulent when they emerge, and then decrease over time are wrong, then plants shift their positions to keep up with the sunlight in surrounding areas is false, we also know that stamina isa strength.', 'One may reasonably assume that if plants shift their positions to keep up with the sunlight in surrounding areas, then the claim that machines have (part) sections has no merit.', "So long as angina pain can also be a symptom of heart valve problems, 'the statement, stamina isa strength, does not hold' is true.", 'Many people rightly believe that angina pain can also be a symptom of heart valve problems.', 'It is rational to believe that either governors have (part) human bodies or if plants shift their positions to keep up with the sunlight in surrounding areas, then machines have (part) sections.', 'The statement, governors have (part) human bodies, does not hold.']
|
Either one or both of these statements are true: if easy money leads to inflation in any century, then fishing mortality is variable, dependent on observed fishing effort, or arab men are liars and homosexuals. Should it be the case that if easy money leads to inflation in any century, then fishing mortality is variable, dependent on observed fishing effort, it follows that plankton are unable to move significant distances against horizontally-flowing currents. When parasitic diseases are often more virulent when they emerge, and then decrease over time is true, it follows that plankton are unable to move significant distances against horizontally-flowing currents. Once we know the claim that if those that suggest if arab men are liars and homosexuals, then parasitic diseases are often more virulent when they emerge, and then decrease over time are wrong, then plants shift their positions to keep up with the sunlight in surrounding areas is false, we also know that stamina isa strength. One may reasonably assume that if plants shift their positions to keep up with the sunlight in surrounding areas, then the claim that machines have (part) sections has no merit. So long as angina pain can also be a symptom of heart valve problems, 'the statement, stamina isa strength, does not hold' is true. Many people rightly believe that angina pain can also be a symptom of heart valve problems. It is rational to believe that either governors have (part) human bodies or if plants shift their positions to keep up with the sunlight in surrounding areas, then machines have (part) sections. The statement, governors have (part) human bodies, does not hold.
|
The statement 'plankton are unable to move significant distances against horizontally-flowing currents' is true.
|
Some people mistakenly believe that plankton are unable to move significant distances against horizontally-flowing currents.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Hypothetical Syllogism:
If [3], then [4]. [SC1-2]
If [4], then [0].
Therefore, If [3], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [3], then [4].).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, If [3], then [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [3], then [4].).), then [5].).), then [7].
Not [7]. [SC2-4]
Therefore, If (Not (If [3], then [4].).), then [5]..
[SC2-4]
Modus Ponens:
If [9], then (Not [7].).
[9]
Therefore, Not [7]..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [6]. [SC1-4]
If [5], then (Not [6].).
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If [5], then [6].).
Not [8].
Therefore, If [5], then [6]..
|
{0: 'Plankton are unable to move significant distances against horizontally-flowing currents.', 1: 'Easy money leads to inflation in any century.', 2: 'Fishing mortality is variable, dependent on observed fishing effort.', 3: 'Arab men are liars and homosexuals.', 4: 'Parasitic diseases are often more virulent when they emerge, and then decrease over time.', 5: 'Plants shift their positions to keep up with the sunlight in surrounding areas.', 6: 'Machines have (part) sections.', 7: 'Stamina isa strength.', 8: 'Governors have (part) human bodies.', 9: 'Angina pain can also be a symptom of heart valve problems.'}
| 7 |
6,979 |
["If the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then most otters are considered to be 'semi-aquatic' animals does not reflect reality, then either fewer animals live in the cold desert or eats are motivated by the goal of hunger.", "Whenever it is true that women are also often uncomfortable talking openly to their partners about sex, 'prenatal care helps prepare women for a healthy pregnancy' is true.", "When capitalism is the only system based on law and reason is true, it follows that if we know that the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then it is not true that most otters are considered to be 'semi-aquatic' animals is false, then teachers can profoundly affect the lives of children.", 'The claim that capitalism is the only system based on law and reason is true.', "Whenever it is true that brown bats drink the nectar from the cacti blossoms, 'if we know that the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then it is not true that most otters are considered to be 'semi-aquatic' animals is false, then we know that the claim that teachers can profoundly affect the lives of children is false' is true.", 'We can assume that brown bats drink the nectar from the cacti blossoms.', 'Either gravity is a very weak force compared to electrical forces or if if women are also often uncomfortable talking openly to their partners about sex, then prenatal care helps prepare women for a healthy pregnancy, then it is not the case that either fewer animals live in the cold desert or eats are motivated by the goal of hunger.', "The statement 'gravity is a very weak force compared to electrical forces' can be considered false."]
|
If the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then most otters are considered to be 'semi-aquatic' animals does not reflect reality, then either fewer animals live in the cold desert or eats are motivated by the goal of hunger. Whenever it is true that women are also often uncomfortable talking openly to their partners about sex, 'prenatal care helps prepare women for a healthy pregnancy' is true. When capitalism is the only system based on law and reason is true, it follows that if we know that the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then it is not true that most otters are considered to be 'semi-aquatic' animals is false, then teachers can profoundly affect the lives of children. The claim that capitalism is the only system based on law and reason is true. Whenever it is true that brown bats drink the nectar from the cacti blossoms, 'if we know that the claim that if the notion that 'either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms' is untrue, then it is not true that most otters are considered to be 'semi-aquatic' animals is false, then we know that the claim that teachers can profoundly affect the lives of children is false' is true. We can assume that brown bats drink the nectar from the cacti blossoms. Either gravity is a very weak force compared to electrical forces or if if women are also often uncomfortable talking openly to their partners about sex, then prenatal care helps prepare women for a healthy pregnancy, then it is not the case that either fewer animals live in the cold desert or eats are motivated by the goal of hunger. The statement 'gravity is a very weak force compared to electrical forces' can be considered false.
|
There is good reason to believe that either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms.
|
There is good reason to believe that either plutonium is carcinogenic 'on contact' and lethal if inhaled or food comes from farms.
|
TRUE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-2]
Modus Ponens:
If (If [8], then [9].), then (Not (Either [3] or [4].).). [SC1-3]
If [8], then [9].
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (If (If [8], then [9].), then (Not (Either [3] or [4].).).).
Not [10].
Therefore, If (If [8], then [9].), then (Not (Either [3] or [4].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [5]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [5].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [5].).
[6]
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then [5]..
[SC2-2]
Modus Ponens:
If [7], then (If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [5].).).
[7]
Therefore, If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not [5].)..
|
{0: "Plutonium is carcinogenic 'on contact' and lethal if inhaled.", 1: 'Food comes from farms.', 2: "Most otters are considered to be 'semi-aquatic' animals.", 3: 'Fewer animals live in the cold desert.', 4: 'Eats are motivated by the goal of hunger.', 5: 'Teachers can profoundly affect the lives of children.', 6: 'Capitalism is the only system based on law and reason.', 7: 'Brown bats drink the nectar from the cacti blossoms.', 8: 'Women are also often uncomfortable talking openly to their partners about sex.', 9: 'Prenatal care helps prepare women for a healthy pregnancy.', 10: 'Gravity is a very weak force compared to electrical forces.'}
| 7 |
6,817 |
['At least one of two things is true: some diets contain refine carbohydrates, or sheep require food.', 'Given that some diets contain refine carbohydrates, it can be inferred that excess water causes roots to smother leading to reduced calcium uptake.', 'It is true that protists are essential sources of nutrition for many other organisms.', 'Those that suggest some butterflies live in Mexico are wrong.', 'When the statement that states either some butterflies live in Mexico or if protists are essential sources of nutrition for many other organisms, then if sheep require food, then excess water causes roots to smother leading to reduced calcium uptake is false is true, it follows that echinoderms have a brain, although it is very small.', 'Assuming echinoderms have a brain, although it is very small, we know that most tadpoles develop hind legs.', 'There is good reason to believe that either either a singular is a form or most people go to high school right after middle school or infection usually leads to fever, cramps, and bloody diarrhea.', "If infection usually leads to fever, cramps, and bloody diarrhea, then the notion that 'most tadpoles develop hind legs' is untrue.", "If either staff have frequent contact or life takes place through the concerted flow of numerous biological processes, then if either a singular is a form or most people go to high school right after middle school, then the notion that 'most tadpoles develop hind legs' is untrue.", 'Either one or both of these statements are true: staff have frequent contact, or life takes place through the concerted flow of numerous biological processes.']
|
At least one of two things is true: some diets contain refine carbohydrates, or sheep require food. Given that some diets contain refine carbohydrates, it can be inferred that excess water causes roots to smother leading to reduced calcium uptake. It is true that protists are essential sources of nutrition for many other organisms. Those that suggest some butterflies live in Mexico are wrong. When the statement that states either some butterflies live in Mexico or if protists are essential sources of nutrition for many other organisms, then if sheep require food, then excess water causes roots to smother leading to reduced calcium uptake is false is true, it follows that echinoderms have a brain, although it is very small. Assuming echinoderms have a brain, although it is very small, we know that most tadpoles develop hind legs. There is good reason to believe that either either a singular is a form or most people go to high school right after middle school or infection usually leads to fever, cramps, and bloody diarrhea. If infection usually leads to fever, cramps, and bloody diarrhea, then the notion that 'most tadpoles develop hind legs' is untrue. If either staff have frequent contact or life takes place through the concerted flow of numerous biological processes, then if either a singular is a form or most people go to high school right after middle school, then the notion that 'most tadpoles develop hind legs' is untrue. Either one or both of these statements are true: staff have frequent contact, or life takes place through the concerted flow of numerous biological processes.
|
The statement that states excess water causes roots to smother leading to reduced calcium uptake is right.
|
Most excess water enters oceans.
|
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]
Therefore, If [2], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [3], then (If [2], then [0].).). [SC1-3]
Not [4].
Therefore, If [3], then (If [2], then [0].)..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (If [3], then (If [2], then [0].).).).), then [5]. [SC1-4]
Not [5]. [SC2-4]
Therefore, Either [4] or (If [3], then (If [2], then [0].).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (Either [4] or (If [3], then (If [2], then [0].).).).), then [6].
If [6], then [5].
Therefore, If (Not (Either [4] or (If [3], then (If [2], then [0].).).).), then [5]..
[SC2-4]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (Not [5].). [SC2-5]
If [9], then (Not [5].).
Therefore, Not [5]..
[SC2-5]
Modus Ponens:
If (Either [10] or [11].), then (If (Either [7] or [8].), then (Not [5].).).
Either [10] or [11].
Therefore, If (Either [7] or [8].), then (Not [5].)..
|
{0: 'Excess water causes roots to smother leading to reduced calcium uptake.', 1: 'Some diets contain refine carbohydrates.', 2: 'Sheep require food.', 3: 'Protists are essential sources of nutrition for many other organisms.', 4: 'Some butterflies live in Mexico.', 5: 'Most tadpoles develop hind legs.', 6: 'Echinoderms have a brain, although it is very small.', 7: 'A singular is a form.', 8: 'Most people go to high school right after middle school.', 9: 'Infection usually leads to fever, cramps, and bloody diarrhea.', 10: 'Staff have frequent contact.', 11: 'Life takes place through the concerted flow of numerous biological processes.'}
| 7 |
6,620 |
['Provided that rubber boots limit exposure to chemicals and provide improved traction on slippery surfaces, we know that if if brooks are used for water sources, then precursors chemicals are mixed with other precursor chemicals to make chemical warfare agents, then soldier beetles have metamorphosis.', 'At least one of two things is true: most men lose weight, or rubber boots limit exposure to chemicals and provide improved traction on slippery surfaces.', 'The claim that most men lose weight does not reflect reality.', 'If it is not true that either mallards require wetland or time is a vital fourth coordinate or dimension to our world, then if feces are often yellow-gray in color with an oily texture, then books are sections.', "The statement 'if feces are often yellow-gray in color with an oily texture, then books are sections' can be considered false.", 'Either lungs are small in size and supplemented by air sacs which reduce the body weight or if mallards require wetland, then the claim that soldier beetles have metamorphosis has no merit.', 'It is not true that lungs are small in size and supplemented by air sacs which reduce the body weight.', 'Either aroma is medium, and fruitiness and esters are low or if time is a vital fourth coordinate or dimension to our world, then the claim that soldier beetles have metamorphosis has no merit.', 'We know that the claim that aroma is medium, and fruitiness and esters are low is false.']
|
Provided that rubber boots limit exposure to chemicals and provide improved traction on slippery surfaces, we know that if if brooks are used for water sources, then precursors chemicals are mixed with other precursor chemicals to make chemical warfare agents, then soldier beetles have metamorphosis. At least one of two things is true: most men lose weight, or rubber boots limit exposure to chemicals and provide improved traction on slippery surfaces. The claim that most men lose weight does not reflect reality. If it is not true that either mallards require wetland or time is a vital fourth coordinate or dimension to our world, then if feces are often yellow-gray in color with an oily texture, then books are sections. The statement 'if feces are often yellow-gray in color with an oily texture, then books are sections' can be considered false. Either lungs are small in size and supplemented by air sacs which reduce the body weight or if mallards require wetland, then the claim that soldier beetles have metamorphosis has no merit. It is not true that lungs are small in size and supplemented by air sacs which reduce the body weight. Either aroma is medium, and fruitiness and esters are low or if time is a vital fourth coordinate or dimension to our world, then the claim that soldier beetles have metamorphosis has no merit. We know that the claim that aroma is medium, and fruitiness and esters are low is false.
|
Some people mistakenly believe that if brooks are used for water sources, then precursors chemicals are mixed with other precursor chemicals to make chemical warfare agents.
|
The statement, brooks are used for fishing, does not hold.
|
Uncertain
|
Modus Tonens:
If (If [0], then [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Ponens:
If [3], then (If (If [0], then [1].), then [2].).
[3] [SC2-2]
Therefore, If (If [0], then [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or [3].
Not [8].
Therefore, [3].
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not [2].). [SC2-2]
If [5], then (Not [2].). [SC3-2]
Therefore, Not [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, Either [4] or [5]..
[SC2-2]
Disjunctive Syllogism:
Either [10] or (If [4], then (Not [2].).).
Not [10].
Therefore, If [4], then (Not [2].)..
[SC3-2]
Disjunctive Syllogism:
Either [9] or (If [5], then (Not [2].).).
Not [9].
Therefore, If [5], then (Not [2].)..
|
{0: 'Brooks are used for water sources.', 1: 'Precursors chemicals are mixed with other precursor chemicals to make chemical warfare agents.', 2: 'Soldier beetles have metamorphosis.', 3: 'Rubber boots limit exposure to chemicals and provide improved traction on slippery surfaces.', 4: 'Mallards require wetland.', 5: 'Time is a vital fourth coordinate or dimension to our world.', 6: 'Feces are often yellow-gray in color with an oily texture.', 7: 'Books are sections.', 8: 'Most men lose weight.', 9: 'Aroma is medium, and fruitiness and esters are low.', 10: 'Lungs are small in size and supplemented by air sacs which reduce the body weight.'}
| 7 |
6,814 |
['At least one of two things is true: if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, or showers have a shower head that squirts out water.', 'We know that at least one of two things is true: cyclists can help their own causes by filing police reports when they are victims of road rage, or either titan is one of the strangest places in the solar system or eternity is citizenship.', 'If cyclists can help their own causes by filing police reports when they are victims of road rage, then if if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, then those that suggest wood can also create a visual focal point by dominating a small area are wrong.', 'Either male baldness is generally an inherited characteristic caused by male sex hormones or if either titan is one of the strangest places in the solar system or eternity is citizenship, then if if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, then those that suggest wood can also create a visual focal point by dominating a small area are wrong.', 'The claim that male baldness is generally an inherited characteristic caused by male sex hormones is false.', 'Either one or both of these statements are true: all societies have institutions and techniques that function as does a biological immune system, or if some spiders live for years, then nibblers have (part) personality.', 'Once we know all societies have institutions and techniques that function as does a biological immune system, we also know that some flowers have onion flavor.', 'If if some spiders live for years, then nibblers have (part) personality, then if showers have a shower head that squirts out water, then those that suggest wood can also create a visual focal point by dominating a small area are wrong.', 'Either one or both of these statements are true: abusers tend to be young and newly married, or either carob is rich in vitamins and minerals or beetles have methods.', 'On the condition that either carob is rich in vitamins and minerals or beetles have methods, it is definitely the case that the statement, some flowers have onion flavor, does not hold.', 'One may reasonably assume that if denominations struggle with issues of diversity and identity, then if abusers tend to be young and newly married, then the statement, some flowers have onion flavor, does not hold.', 'The statement that states denominations struggle with issues of diversity and identity is right.']
|
At least one of two things is true: if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, or showers have a shower head that squirts out water. We know that at least one of two things is true: cyclists can help their own causes by filing police reports when they are victims of road rage, or either titan is one of the strangest places in the solar system or eternity is citizenship. If cyclists can help their own causes by filing police reports when they are victims of road rage, then if if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, then those that suggest wood can also create a visual focal point by dominating a small area are wrong. Either male baldness is generally an inherited characteristic caused by male sex hormones or if either titan is one of the strangest places in the solar system or eternity is citizenship, then if if scientists expect the mouse to be the workhorse in the effort to understand how genes work, then resins are used in the manufacturing of paints, oinments and varnishes, then those that suggest wood can also create a visual focal point by dominating a small area are wrong. The claim that male baldness is generally an inherited characteristic caused by male sex hormones is false. Either one or both of these statements are true: all societies have institutions and techniques that function as does a biological immune system, or if some spiders live for years, then nibblers have (part) personality. Once we know all societies have institutions and techniques that function as does a biological immune system, we also know that some flowers have onion flavor. If if some spiders live for years, then nibblers have (part) personality, then if showers have a shower head that squirts out water, then those that suggest wood can also create a visual focal point by dominating a small area are wrong. Either one or both of these statements are true: abusers tend to be young and newly married, or either carob is rich in vitamins and minerals or beetles have methods. On the condition that either carob is rich in vitamins and minerals or beetles have methods, it is definitely the case that the statement, some flowers have onion flavor, does not hold. One may reasonably assume that if denominations struggle with issues of diversity and identity, then if abusers tend to be young and newly married, then the statement, some flowers have onion flavor, does not hold. The statement that states denominations struggle with issues of diversity and identity is right.
|
Those that suggest wood can also create a visual focal point by dominating a small area are wrong.
|
The statement 'wood has purposes' can be considered false.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (If [1], then [2].), then (Not [0].).).
If (Either [6] or [7].), then (If (If [1], then [2].), then (Not [0].).). [SC3-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC3-2]
Disjunctive Syllogism:
Either [11] or (If (Either [6] or [7].), then (If (If [1], then [2].), then (Not [0].).).).
Not [11].
Therefore, If (Either [6] or [7].), then (If (If [1], then [2].), then (Not [0].).)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [0].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, If [3], then (Not [0].)..
[SC1-2]
Constructive Dilemma:
Either [8] or (If [9], then [10].).
If [8], then [4].
If (If [9], then [10].), then (If [3], then (Not [0].).).
Therefore, Either [4] or (If [3], then (Not [0].).)..
[SC2-2]
Disjunction Elimination:
Either [12] or (Either [13] or [14].).
If [12], then (Not [4].). [SC2-3]
If (Either [13] or [14].), then (Not [4].).
Therefore, Not [4]..
[SC2-3]
Modus Ponens:
If [15], then (If [12], then (Not [4].).).
[15]
Therefore, If [12], then (Not [4].)..
|
{0: 'Wood can also create a visual focal point by dominating a small area.', 1: 'Scientists expect the mouse to be the workhorse in the effort to understand how genes work.', 2: 'Resins are used in the manufacturing of paints, oinments and varnishes.', 3: 'Showers have a shower head that squirts out water.', 4: 'Some flowers have onion flavor.', 5: 'Cyclists can help their own causes by filing police reports when they are victims of road rage.', 6: 'Titan is one of the strangest places in the solar system.', 7: 'Eternity is citizenship.', 8: 'All societies have institutions and techniques that function as does a biological immune system.', 9: 'Some spiders live for years.', 10: 'Nibblers have (part) personality.', 11: 'Male baldness is generally an inherited characteristic caused by male sex hormones.', 12: 'Abusers tend to be young and newly married.', 13: 'Carob is rich in vitamins and minerals.', 14: 'Beetles have methods.', 15: 'Denominations struggle with issues of diversity and identity.'}
| 7 |
6,516 |
['Given that we know that the claim that spanish moss is a long, whisker-like plant growth which hangs from trees is false, it can be inferred that robots are uniformly heroes when they appear in popular Japanese cartoons and films.', 'One may reasonably assume that if if development is the expression or realisation of the inheritance, then graduate students participate in activities, then it is a common misconception that robots are uniformly heroes when they appear in popular Japanese cartoons and films.', "The statement that 'spider monkeys are second in agility only to the gibbons of Asia' is incorrect.", 'Provided that the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, we know that it is a common misconception that rotifers have (part) cell membranes.', 'Once we know mutant mice become obese and develop behavioral abnormalities, we also know that if the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, then rotifers have (part) cell membranes.', 'Provided that advanced pellagra can cause death, we know that either mutant mice become obese and develop behavioral abnormalities or if most diseases affect children, then pasture loopers can also cause a problem if they are present in large numbers in pastures.', 'The idea that advanced pellagra can cause death is true.', 'If if most diseases affect children, then pasture loopers can also cause a problem if they are present in large numbers in pastures, then muscles differ in the arrangement of their myofilaments .', 'Given that muscles differ in the arrangement of their myofilaments , it can be inferred that if the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, then rotifers have (part) cell membranes.']
|
Given that we know that the claim that spanish moss is a long, whisker-like plant growth which hangs from trees is false, it can be inferred that robots are uniformly heroes when they appear in popular Japanese cartoons and films. One may reasonably assume that if if development is the expression or realisation of the inheritance, then graduate students participate in activities, then it is a common misconception that robots are uniformly heroes when they appear in popular Japanese cartoons and films. The statement that 'spider monkeys are second in agility only to the gibbons of Asia' is incorrect. Provided that the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, we know that it is a common misconception that rotifers have (part) cell membranes. Once we know mutant mice become obese and develop behavioral abnormalities, we also know that if the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, then rotifers have (part) cell membranes. Provided that advanced pellagra can cause death, we know that either mutant mice become obese and develop behavioral abnormalities or if most diseases affect children, then pasture loopers can also cause a problem if they are present in large numbers in pastures. The idea that advanced pellagra can cause death is true. If if most diseases affect children, then pasture loopers can also cause a problem if they are present in large numbers in pastures, then muscles differ in the arrangement of their myofilaments . Given that muscles differ in the arrangement of their myofilaments , it can be inferred that if the claim that either spider monkeys are second in agility only to the gibbons of Asia or if development is the expression or realisation of the inheritance, then graduate students participate in activities does not reflect reality, then rotifers have (part) cell membranes.
|
It is a simple truth that spanish moss is a long, whisker-like plant growth which hangs from trees.
|
Spanish moss is rootless, living attached to the trunks and branches of trees.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (Not [1].).
If [2], then [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If [2], then [3].). [SC1-3]
Not [4].
Therefore, If [2], then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (If [2], then [3].).).), then [5]. [SC1-4]
If (Not (Either [4] or (If [2], then [3].).).), then (Not [5].).
Therefore, Either [4] or (If [2], then [3].)..
[SC1-4]
Disjunction Elimination:
Either [6] or (If [7], then [8].). [SC1-5]
If [6], then (If (Not (Either [4] or (If [2], then [3].).).), then [5].).
If (If [7], then [8].), then (If (Not (Either [4] or (If [2], then [3].).).), then [5].). [SC3-5]
Therefore, If (Not (Either [4] or (If [2], then [3].).).), then [5]..
[SC1-5]
Modus Ponens:
If [9], then (Either [6] or (If [7], then [8].).).
[9]
Therefore, Either [6] or (If [7], then [8].)..
[SC3-5]
Hypothetical Syllogism:
If (If [7], then [8].), then [10].
If [10], then (If (Not (Either [4] or (If [2], then [3].).).), then [5].).
Therefore, If (If [7], then [8].), then (If (Not (Either [4] or (If [2], then [3].).).), then [5].)..
|
{0: 'Spanish moss is a long, whisker-like plant growth which hangs from trees.', 1: 'Robots are uniformly heroes when they appear in popular Japanese cartoons and films.', 2: 'Development is the expression or realisation of the inheritance.', 3: 'Graduate students participate in activities.', 4: 'Spider monkeys are second in agility only to the gibbons of Asia.', 5: 'Rotifers have (part) cell membranes.', 6: 'Mutant mice become obese and develop behavioral abnormalities.', 7: 'Most diseases affect children.', 8: 'Pasture loopers can also cause a problem if they are present in large numbers in pastures.', 9: 'Advanced pellagra can cause death.', 10: 'Muscles differ in the arrangement of their myofilaments .'}
| 7 |
6,518 |
['Assuming fitting rooms have large mirrors, we know that it is not true that gold also is used in electronic connectors and dental alloys.', 'When most infectious diseases are caused by microbes is true, it follows that it is not true that gold also is used in electronic connectors and dental alloys.', 'Given that it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, it can be inferred that the claim that a refill is a product does not correspond with reality.', 'The statement, homicide is but one tragic result of untreated brain disorders, does not hold.', 'The statement that states cultural beliefs influence behavior is false.', 'Assuming allocation is the mixture between different investment classes, we know that if the claim that either homicide is but one tragic result of untreated brain disorders or if it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, then a refill is a product is false, then some people mistakenly believe that most substances have high potential.', 'Those that suggest allocation is the mixture between different investment classes are right.', 'Assuming the claim that if the claim that either homicide is but one tragic result of untreated brain disorders or if it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, then a refill is a product is false, then most substances have high potential does not reflect reality, we know that if children grow at their own pace and reach developmental stages or milestones at their own rate, then equipment is used to meter refrigerant flow in air conditioning systems in automobiles.', 'Given that if children grow at their own pace and reach developmental stages or milestones at their own rate, then equipment is used to meter refrigerant flow in air conditioning systems in automobiles, it can be inferred that cultural beliefs influence behavior.']
|
Assuming fitting rooms have large mirrors, we know that it is not true that gold also is used in electronic connectors and dental alloys. When most infectious diseases are caused by microbes is true, it follows that it is not true that gold also is used in electronic connectors and dental alloys. Given that it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, it can be inferred that the claim that a refill is a product does not correspond with reality. The statement, homicide is but one tragic result of untreated brain disorders, does not hold. The statement that states cultural beliefs influence behavior is false. Assuming allocation is the mixture between different investment classes, we know that if the claim that either homicide is but one tragic result of untreated brain disorders or if it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, then a refill is a product is false, then some people mistakenly believe that most substances have high potential. Those that suggest allocation is the mixture between different investment classes are right. Assuming the claim that if the claim that either homicide is but one tragic result of untreated brain disorders or if it is not the case that either fitting rooms have large mirrors or most infectious diseases are caused by microbes, then a refill is a product is false, then most substances have high potential does not reflect reality, we know that if children grow at their own pace and reach developmental stages or milestones at their own rate, then equipment is used to meter refrigerant flow in air conditioning systems in automobiles. Given that if children grow at their own pace and reach developmental stages or milestones at their own rate, then equipment is used to meter refrigerant flow in air conditioning systems in automobiles, it can be inferred that cultural beliefs influence behavior.
|
It is not true that gold also is used in electronic connectors and dental alloys.
|
The statement that states gold is softer than other rocks is false.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [3].).
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (Either [1] or [2].).), then [3].). [SC1-3]
Not [4].
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then [5]. [SC1-4]
If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then (Not [5].). [SC2-4]
Therefore, Either [4] or (If (Not (Either [1] or [2].).), then [3].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then [5].).), then [6]. [SC1-5]
Not [6].
Therefore, If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then [5]..
[SC1-5]
Hypothetical Syllogism:
If (Not (If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then [5].).), then (If [8], then [9].).
If (If [8], then [9].), then [6].
Therefore, If (Not (If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then [5].).), then [6]..
[SC2-4]
Modus Ponens:
If [7], then (If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then (Not [5].).).
[7]
Therefore, If (Not (Either [4] or (If (Not (Either [1] or [2].).), then [3].).).), then (Not [5].)..
|
{0: 'Gold also is used in electronic connectors and dental alloys.', 1: 'Fitting rooms have large mirrors.', 2: 'Most infectious diseases are caused by microbes.', 3: 'A refill is a product.', 4: 'Homicide is but one tragic result of untreated brain disorders.', 5: 'Most substances have high potential.', 6: 'Cultural beliefs influence behavior.', 7: 'Allocation is the mixture between different investment classes.', 8: 'Children grow at their own pace and reach developmental stages or milestones at their own rate.', 9: 'Equipment is used to meter refrigerant flow in air conditioning systems in automobiles.'}
| 7 |
6,940 |
['Should it be the case that thick vegetation reduces wind velocity, it follows that either mollusk isa animal or avoidant behavior is a means of coping and can severely interfere with occupational functioning.', "Whenever it is true that either legs have (part) ankles or some ants invade nests, 'erosion threatens nest habitats' is true.", 'Assuming erosion threatens nest habitats, we know that thick vegetation reduces wind velocity.', "Given that the notion that 'either warriors have (part) cell membranes or craters have diameters' is untrue, it can be inferred that if roots help feed the plant by sucking up water and minerals from the soil, then worker bees remove the liquid from the nectar.", "One may reasonably assume that if the notion that 'either warriors have (part) cell membranes or craters have diameters' is untrue, then the claim that if roots help feed the plant by sucking up water and minerals from the soil, then worker bees remove the liquid from the nectar is false.", 'If it is not the case that if warriors have (part) cell membranes, then either legs have (part) ankles or some ants invade nests, then art historians are professional art interpreters.', "Whenever it is true that it is not the case that if warriors have (part) cell membranes, then either legs have (part) ankles or some ants invade nests, 'the statement that states art historians are professional art interpreters is false' is true.", 'Once we know craters have diameters, we also know that friends play big roles.', 'Assuming friends play big roles, we know that either legs have (part) ankles or some ants invade nests.']
|
Should it be the case that thick vegetation reduces wind velocity, it follows that either mollusk isa animal or avoidant behavior is a means of coping and can severely interfere with occupational functioning. Whenever it is true that either legs have (part) ankles or some ants invade nests, 'erosion threatens nest habitats' is true. Assuming erosion threatens nest habitats, we know that thick vegetation reduces wind velocity. Given that the notion that 'either warriors have (part) cell membranes or craters have diameters' is untrue, it can be inferred that if roots help feed the plant by sucking up water and minerals from the soil, then worker bees remove the liquid from the nectar. One may reasonably assume that if the notion that 'either warriors have (part) cell membranes or craters have diameters' is untrue, then the claim that if roots help feed the plant by sucking up water and minerals from the soil, then worker bees remove the liquid from the nectar is false. If it is not the case that if warriors have (part) cell membranes, then either legs have (part) ankles or some ants invade nests, then art historians are professional art interpreters. Whenever it is true that it is not the case that if warriors have (part) cell membranes, then either legs have (part) ankles or some ants invade nests, 'the statement that states art historians are professional art interpreters is false' is true. Once we know craters have diameters, we also know that friends play big roles. Assuming friends play big roles, we know that either legs have (part) ankles or some ants invade nests.
|
We know that either mollusk isa animal or avoidant behavior is a means of coping and can severely interfere with occupational functioning.
|
Either one or both of these statements are true: most mollusks live in water, or cosmetology has a lot of facets like makeup, facials, and nails.
|
Uncertain
|
Modus Ponens:
If (Either [2] or [3].), then (Either [0] or [1].). [SC1-1]
Either [2] or [3]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Either [2] or [3].), then [6]. [SC1-2]
If [6], then (Either [0] or [1].).
Therefore, If (Either [2] or [3].), then (Either [0] or [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [7].
If [7], then [6].
Therefore, If (Either [2] or [3].), then [6]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either [2] or [3].). [SC2-2]
If [5], then (Either [2] or [3].). [SC3-2]
Therefore, Either [2] or [3]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (If [8], then [9].).
If (Not (Either [4] or [5].).), then (Not (If [8], then [9].).).
Therefore, Either [4] or [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Either [2] or [3].).).), then [11].
If (Not (If [4], then (Either [2] or [3].).).), then (Not [11].).
Therefore, If [4], then (Either [2] or [3].)..
[SC3-2]
Hypothetical Syllogism:
If [5], then [10].
If [10], then (Either [2] or [3].).
Therefore, If [5], then (Either [2] or [3].)..
|
{0: 'Mollusk isa animal.', 1: 'Avoidant behavior is a means of coping and can severely interfere with occupational functioning.', 2: 'Legs have (part) ankles.', 3: 'Some ants invade nests.', 4: 'Warriors have (part) cell membranes.', 5: 'Craters have diameters.', 6: 'Thick vegetation reduces wind velocity.', 7: 'Erosion threatens nest habitats.', 8: 'Roots help feed the plant by sucking up water and minerals from the soil.', 9: 'Worker bees remove the liquid from the nectar.', 10: 'Friends play big roles.', 11: 'Art historians are professional art interpreters.'}
| 7 |
6,113 |
['Either if termites feed mainly on wood, happily munching their way through houses and other wooden structures, then coils are located in spring or fisheries occur on both spawning and non-spawning fish.', 'Once we know if termites feed mainly on wood, happily munching their way through houses and other wooden structures, then coils are located in spring, we also know that most evaporation has cool effects.', 'Once we know sweatshops are a phenomenon of decay, pure and simple, we also know that either dinosaurs have body size or an orthochromatic film is a film.', "Whenever it is true that erosion is a natural process and, therefore, some sediment does end up in surface water, 'either dinosaurs have body size or an orthochromatic film is a film' is true.", 'Provided that enteric fermentation is a digestive process by which microbes break down feed consumed by animals, we know that if dinosaurs have body size, then if fisheries occur on both spawning and non-spawning fish, then most evaporation has cool effects.', 'It is true that enteric fermentation is a digestive process by which microbes break down feed consumed by animals.', 'When recent work indicates that abnormal sleep and psychopathologies share a common cause is true, it follows that if an orthochromatic film is a film, then if fisheries occur on both spawning and non-spawning fish, then most evaporation has cool effects.', 'It is rational to believe that either either pollination can occur over several days or orchids originate in diverse habitats, from tree tops in full sun to shaded swamps or either sweatshops are a phenomenon of decay, pure and simple or erosion is a natural process and, therefore, some sediment does end up in surface water.', 'It is not the case that either pollination can occur over several days or orchids originate in diverse habitats, from tree tops in full sun to shaded swamps.', 'Either one or both of these statements are true: leeches have lifespans, or recent work indicates that abnormal sleep and psychopathologies share a common cause.', 'We know that the claim that leeches have lifespans is false.']
|
Either if termites feed mainly on wood, happily munching their way through houses and other wooden structures, then coils are located in spring or fisheries occur on both spawning and non-spawning fish. Once we know if termites feed mainly on wood, happily munching their way through houses and other wooden structures, then coils are located in spring, we also know that most evaporation has cool effects. Once we know sweatshops are a phenomenon of decay, pure and simple, we also know that either dinosaurs have body size or an orthochromatic film is a film. Whenever it is true that erosion is a natural process and, therefore, some sediment does end up in surface water, 'either dinosaurs have body size or an orthochromatic film is a film' is true. Provided that enteric fermentation is a digestive process by which microbes break down feed consumed by animals, we know that if dinosaurs have body size, then if fisheries occur on both spawning and non-spawning fish, then most evaporation has cool effects. It is true that enteric fermentation is a digestive process by which microbes break down feed consumed by animals. When recent work indicates that abnormal sleep and psychopathologies share a common cause is true, it follows that if an orthochromatic film is a film, then if fisheries occur on both spawning and non-spawning fish, then most evaporation has cool effects. It is rational to believe that either either pollination can occur over several days or orchids originate in diverse habitats, from tree tops in full sun to shaded swamps or either sweatshops are a phenomenon of decay, pure and simple or erosion is a natural process and, therefore, some sediment does end up in surface water. It is not the case that either pollination can occur over several days or orchids originate in diverse habitats, from tree tops in full sun to shaded swamps. Either one or both of these statements are true: leeches have lifespans, or recent work indicates that abnormal sleep and psychopathologies share a common cause. We know that the claim that leeches have lifespans is false.
|
It is fair to say that most evaporation has cool effects.
|
It is fair to say that most evaporation has cool effects.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0].
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (If [3], then [0].). [SC2-2]
If [5], then (If [3], then [0].). [SC3-2]
Therefore, If [3], then [0]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (Either [4] or [5].).
If [8], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (Either [7] or [8].).
Not (Either [10] or [11].).
Therefore, Either [7] or [8]..
[SC2-2]
Modus Ponens:
If [6], then (If [4], then (If [3], then [0].).).
[6]
Therefore, If [4], then (If [3], then [0].)..
[SC3-2]
Modus Ponens:
If [9], then (If [5], then (If [3], then [0].).).
[9] [SC2-3]
Therefore, If [5], then (If [3], then [0].)..
[SC2-3]
Disjunctive Syllogism:
Either [12] or [9].
Not [12].
Therefore, [9].
|
{0: 'Most evaporation has cool effects.', 1: 'Termites feed mainly on wood, happily munching their way through houses and other wooden structures.', 2: 'Coils are located in spring.', 3: 'Fisheries occur on both spawning and non-spawning fish.', 4: 'Dinosaurs have body size.', 5: 'An orthochromatic film is a film.', 6: 'Enteric fermentation is a digestive process by which microbes break down feed consumed by animals.', 7: 'Sweatshops are a phenomenon of decay, pure and simple.', 8: 'Erosion is a natural process and, therefore, some sediment does end up in surface water.', 9: 'Recent work indicates that abnormal sleep and psychopathologies share a common cause.', 10: 'Pollination can occur over several days.', 11: 'Orchids originate in diverse habitats, from tree tops in full sun to shaded swamps.', 12: 'Leeches have lifespans.'}
| 7 |
6,612 |
['It is rational to believe that either sunrise isa knowledge or trees attract other pollinators.', 'Once we know sunrise isa knowledge, we also know that corrosion always increases with additional heat.', "The notion that 'all bombardier beetles are predators, and are thus themselves agents of death' is untrue.", "If most spiders have fangs too small or too weak to puncture human skin, then if if many birds live on insects or on fish, then ligers enjoy swimming, which is a tiger-like behavior, then if the statement 'if trees attract other pollinators, then corrosion always increases with additional heat' can be considered false, then powerful telescopes can see far into space, making far away objects look closer and brighter.", 'It is reasonable to believe that most spiders have fangs too small or too weak to puncture human skin.', 'Provided that the claim that if many birds live on insects or on fish, then ligers enjoy swimming, which is a tiger-like behavior does not correspond with reality, we know that atherosclerosis is more common in men of all age groups.', "The statement that 'atherosclerosis is more common in men of all age groups' is incorrect.", "When the claim that either all bombardier beetles are predators, and are thus themselves agents of death or the statement that 'powerful telescopes can see far into space, making far away objects look closer and brighter' is incorrect is false is true, it follows that postmenopausal women are most at risk for osteoporosis because of decreasing levels of estrogen.", 'It is not the case that postmenopausal women are most at risk for osteoporosis because of decreasing levels of estrogen.']
|
It is rational to believe that either sunrise isa knowledge or trees attract other pollinators. Once we know sunrise isa knowledge, we also know that corrosion always increases with additional heat. The notion that 'all bombardier beetles are predators, and are thus themselves agents of death' is untrue. If most spiders have fangs too small or too weak to puncture human skin, then if if many birds live on insects or on fish, then ligers enjoy swimming, which is a tiger-like behavior, then if the statement 'if trees attract other pollinators, then corrosion always increases with additional heat' can be considered false, then powerful telescopes can see far into space, making far away objects look closer and brighter. It is reasonable to believe that most spiders have fangs too small or too weak to puncture human skin. Provided that the claim that if many birds live on insects or on fish, then ligers enjoy swimming, which is a tiger-like behavior does not correspond with reality, we know that atherosclerosis is more common in men of all age groups. The statement that 'atherosclerosis is more common in men of all age groups' is incorrect. When the claim that either all bombardier beetles are predators, and are thus themselves agents of death or the statement that 'powerful telescopes can see far into space, making far away objects look closer and brighter' is incorrect is false is true, it follows that postmenopausal women are most at risk for osteoporosis because of decreasing levels of estrogen. It is not the case that postmenopausal women are most at risk for osteoporosis because of decreasing levels of estrogen.
|
Many people rightly believe that corrosion always increases with additional heat.
|
Many people rightly believe that corrosion always increases with additional heat.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If (Not (If [2], then [0].).), then [3].). [SC1-3]
If [4], then [5]. [SC2-3]
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Modus Ponens:
If [8], then (If (If [4], then [5].), then (If (Not (If [2], then [0].).), then [3].).).
[8]
Therefore, If (If [4], then [5].), then (If (Not (If [2], then [0].).), then [3].)..
[SC2-3]
Modus Tonens:
If (Not (If [4], then [5].).), then [7].
Not [7].
Therefore, If [4], then [5]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [3].). [SC1-3]
Not [6].
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [6] or (Not [3].).).), then [9].
Not [9].
Therefore, Either [6] or (Not [3].)..
|
{0: 'Corrosion always increases with additional heat.', 1: 'Sunrise isa knowledge.', 2: 'Trees attract other pollinators.', 3: 'Powerful telescopes can see far into space, making far away objects look closer and brighter.', 4: 'Many birds live on insects or on fish.', 5: 'Ligers enjoy swimming, which is a tiger-like behavior.', 6: 'All bombardier beetles are predators, and are thus themselves agents of death.', 7: 'Atherosclerosis is more common in men of all age groups.', 8: 'Most spiders have fangs too small or too weak to puncture human skin.', 9: 'Postmenopausal women are most at risk for osteoporosis because of decreasing levels of estrogen.'}
| 7 |
6,037 |
["Whenever it is true that if leaves are one of the easiest landscape wastes to compost, then american toads eat earthworms, 'either ozone is another chemical oxidant or if the claim that foster families respect the bonds between children and their parents and siblings is false, then if collector isa somebody, then nettle plants have stalks' is true.", 'When leaves are one of the easiest landscape wastes to compost is true, it follows that american toads eat earthworms.', "Whenever it is true that ozone is another chemical oxidant, 'either many birds come into contact or separation anxiety is perhaps the main reason pet owners have for giving up their Whippet' is true.", 'Those that suggest either many birds come into contact or separation anxiety is perhaps the main reason pet owners have for giving up their Whippet are wrong.', 'At least one of two things is true: nuclear transport is an essential function of all eukaryotic cells, or either families do care or if the claim that foster families respect the bonds between children and their parents and siblings is false, then it is not the case that if collector isa somebody, then nettle plants have stalks.', 'The statement that states nuclear transport is an essential function of all eukaryotic cells is false.', 'When if social media is an additional channel for building relationships that drive revenue, then tight clothing can restrict blood flow, leading to a danger of frostbite is true, it follows that the claim that families do care does not reflect reality.', 'Once we know social media is an additional channel for building relationships that drive revenue, we also know that tight clothing can restrict blood flow, leading to a danger of frostbite.']
|
Whenever it is true that if leaves are one of the easiest landscape wastes to compost, then american toads eat earthworms, 'either ozone is another chemical oxidant or if the claim that foster families respect the bonds between children and their parents and siblings is false, then if collector isa somebody, then nettle plants have stalks' is true. When leaves are one of the easiest landscape wastes to compost is true, it follows that american toads eat earthworms. Whenever it is true that ozone is another chemical oxidant, 'either many birds come into contact or separation anxiety is perhaps the main reason pet owners have for giving up their Whippet' is true. Those that suggest either many birds come into contact or separation anxiety is perhaps the main reason pet owners have for giving up their Whippet are wrong. At least one of two things is true: nuclear transport is an essential function of all eukaryotic cells, or either families do care or if the claim that foster families respect the bonds between children and their parents and siblings is false, then it is not the case that if collector isa somebody, then nettle plants have stalks. The statement that states nuclear transport is an essential function of all eukaryotic cells is false. When if social media is an additional channel for building relationships that drive revenue, then tight clothing can restrict blood flow, leading to a danger of frostbite is true, it follows that the claim that families do care does not reflect reality. Once we know social media is an additional channel for building relationships that drive revenue, we also know that tight clothing can restrict blood flow, leading to a danger of frostbite.
|
foster families respect the bonds between children and their parents and siblings.
|
Foster families respect the bonds between children and their parents and siblings.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (Not [0].), then (If [1], then [2].).). [SC1-2]
Not [4]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If (If [6], then [7].), then (Either [4] or (If (Not [0].), then (If [1], then [2].).).).
If [6], then [7].
Therefore, Either [4] or (If (Not [0].), then (If [1], then [2].).)..
[SC2-2]
Modus Tonens:
If [4], then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, Not [4]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Not (If [1], then [2].).).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (Either [3] or (If (Not [0].), then (Not (If [1], then [2].).).).).
Not [5].
Therefore, Either [3] or (If (Not [0].), then (Not (If [1], then [2].).).)..
[SC2-2]
Modus Ponens:
If (If [8], then [9].), then (Not [3].).
If [8], then [9].
Therefore, Not [3]..
|
{0: 'Foster families respect the bonds between children and their parents and siblings.', 1: 'Collector isa somebody.', 2: 'Nettle plants have stalks.', 3: 'Families do care.', 4: 'Ozone is another chemical oxidant.', 5: 'Nuclear transport is an essential function of all eukaryotic cells.', 6: 'Leaves are one of the easiest landscape wastes to compost.', 7: 'American toads eat earthworms.', 8: 'Social media is an additional channel for building relationships that drive revenue.', 9: 'Tight clothing can restrict blood flow, leading to a danger of frostbite.', 10: 'Many birds come into contact.', 11: 'Separation anxiety is perhaps the main reason pet owners have for giving up their Whippet.'}
| 7 |
6,894 |
['The claim that surface tension is responsible for the spherical shape of a bubble is false.', 'Either one or both of these statements are true: if some black bears inhabit historic ranges, then a military operation is an activity, or creativity is the very essence of each aspect of reality.', 'At least one of two things is true: mechanical ventilators can provide oxygen and remove carbon dioxide, or if if some black bears inhabit historic ranges, then a military operation is an activity, then surface tension is responsible for the spherical shape of a bubble.', 'One may reasonably assume that if all civilizations use the materials in their building construction which are the most prevalent, then if creativity is the very essence of each aspect of reality, then asexual reproduction is by fragmentation, budding, or fission.', 'When indoor air is often full of pollutants is true, it follows that if creativity is the very essence of each aspect of reality, then asexual reproduction is by fragmentation, budding, or fission.', 'It is a fact that either causes of cancer are aplenty or it is a common misconception that mechanical ventilators can provide oxygen and remove carbon dioxide.', 'The statement that states causes of cancer are aplenty is false.', 'The idea that belgian chocolate is used by chocolatiers around the world is true.', 'Assuming belgian chocolate is used by chocolatiers around the world, we know that some algae are symbiotic, living on or within animals, fungi or other plants and some are parasitic.', 'When some algae are symbiotic, living on or within animals, fungi or other plants and some are parasitic is true, it follows that either all civilizations use the materials in their building construction which are the most prevalent or indoor air is often full of pollutants.']
|
The claim that surface tension is responsible for the spherical shape of a bubble is false. Either one or both of these statements are true: if some black bears inhabit historic ranges, then a military operation is an activity, or creativity is the very essence of each aspect of reality. At least one of two things is true: mechanical ventilators can provide oxygen and remove carbon dioxide, or if if some black bears inhabit historic ranges, then a military operation is an activity, then surface tension is responsible for the spherical shape of a bubble. One may reasonably assume that if all civilizations use the materials in their building construction which are the most prevalent, then if creativity is the very essence of each aspect of reality, then asexual reproduction is by fragmentation, budding, or fission. When indoor air is often full of pollutants is true, it follows that if creativity is the very essence of each aspect of reality, then asexual reproduction is by fragmentation, budding, or fission. It is a fact that either causes of cancer are aplenty or it is a common misconception that mechanical ventilators can provide oxygen and remove carbon dioxide. The statement that states causes of cancer are aplenty is false. The idea that belgian chocolate is used by chocolatiers around the world is true. Assuming belgian chocolate is used by chocolatiers around the world, we know that some algae are symbiotic, living on or within animals, fungi or other plants and some are parasitic. When some algae are symbiotic, living on or within animals, fungi or other plants and some are parasitic is true, it follows that either all civilizations use the materials in their building construction which are the most prevalent or indoor air is often full of pollutants.
|
The claim that asexual reproduction is by fragmentation, budding, or fission is true.
|
Severe reactions are rare in children.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (If [2], then [3].) or [4].
If (If [2], then [3].), then [1]. [SC2-2]
If [4], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (If [2], then [3].), then [1].).
Not [7]. [SC2-3]
Therefore, If (If [2], then [3].), then [1]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not [7].).
Not [8].
Therefore, Not [7]..
[SC3-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [4], then [0].).
If [6], then (If [4], then [0].).
Therefore, If [4], then [0]..
[SC1-3]
Modus Ponens:
If [9], then (Either [5] or [6].). [SC1-4]
[9]
Therefore, Either [5] or [6]..
[SC1-4]
Hypothetical Syllogism:
If [9], then [10].
If [10], then (Either [5] or [6].).
Therefore, If [9], then (Either [5] or [6].)..
|
{0: 'Asexual reproduction is by fragmentation, budding, or fission.', 1: 'Surface tension is responsible for the spherical shape of a bubble.', 2: 'Some black bears inhabit historic ranges.', 3: 'A military operation is an activity.', 4: 'Creativity is the very essence of each aspect of reality.', 5: 'All civilizations use the materials in their building construction which are the most prevalent.', 6: 'Indoor air is often full of pollutants.', 7: 'Mechanical ventilators can provide oxygen and remove carbon dioxide.', 8: 'Causes of cancer are aplenty.', 9: 'Belgian chocolate is used by chocolatiers around the world.', 10: 'Some algae are symbiotic, living on or within animals, fungi or other plants and some are parasitic.'}
| 7 |
6,895 |
['Given that those that suggest ecosystems interact with other ecosystems through the exchange of matter and energy are wrong, it can be inferred that most bright color helps plants.', 'There is good reason to believe that either if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs or if stock has (part) vacuoles, then most biscuits make from grain wheat.', 'Once we know if stock has (part) vacuoles, then most biscuits make from grain wheat, we also know that it is a common misconception that most bright color helps plants.', 'Provided that cankerworms feed on hawthorn foliage during the spring, we know that water is matter because it has mass and takes up space.', "So long as it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, 'tropospheres contain methane' is true.", 'We know that either either disorder is caused by defects or producers make their own food, producers are plants or corn benefits from compost manure.', "Once we know either disorder is caused by defects or producers make their own food, producers are plants, we also know that the notion that 'water is matter because it has mass and takes up space' is untrue.", "So long as corn benefits from compost manure, 'the notion that 'water is matter because it has mass and takes up space' is untrue' is true.", 'There is good reason to believe that either most excretion removes metabolic waste products or conservatives look to individual character values as a basis for a strong society.', "Whenever it is true that most excretion removes metabolic waste products, 'if it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, then the statement 'tropospheres contain methane' can be considered false' is true.", "So long as conservatives look to individual character values as a basis for a strong society, 'if it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, then the statement 'tropospheres contain methane' can be considered false' is true."]
|
Given that those that suggest ecosystems interact with other ecosystems through the exchange of matter and energy are wrong, it can be inferred that most bright color helps plants. There is good reason to believe that either if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs or if stock has (part) vacuoles, then most biscuits make from grain wheat. Once we know if stock has (part) vacuoles, then most biscuits make from grain wheat, we also know that it is a common misconception that most bright color helps plants. Provided that cankerworms feed on hawthorn foliage during the spring, we know that water is matter because it has mass and takes up space. So long as it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, 'tropospheres contain methane' is true. We know that either either disorder is caused by defects or producers make their own food, producers are plants or corn benefits from compost manure. Once we know either disorder is caused by defects or producers make their own food, producers are plants, we also know that the notion that 'water is matter because it has mass and takes up space' is untrue. So long as corn benefits from compost manure, 'the notion that 'water is matter because it has mass and takes up space' is untrue' is true. There is good reason to believe that either most excretion removes metabolic waste products or conservatives look to individual character values as a basis for a strong society. Whenever it is true that most excretion removes metabolic waste products, 'if it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, then the statement 'tropospheres contain methane' can be considered false' is true. So long as conservatives look to individual character values as a basis for a strong society, 'if it is not true that if if sediments tend to collect at low elevations and in depressions in the earth, then pneumonia is infection of the lungs, then cankerworms feed on hawthorn foliage during the spring, then the statement 'tropospheres contain methane' can be considered false' is true.
|
Those that suggest ecosystems interact with other ecosystems through the exchange of matter and energy are right.
|
Those that suggest ecosystems interact with other ecosystems through the exchange of matter and energy are right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either (If [3], then [4].) or (If [5], then [6].).
If (If [3], then [4].), then [2]. [SC2-3]
If (If [5], then [6].), then (Not [1].).
Therefore, Either [2] or (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then [2].).), then [11].
If (Not (If (If [3], then [4].), then [2].).), then (Not [11].). [SC2-4]
Therefore, If (If [3], then [4].), then [2]..
[SC2-4]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If (Not (If (If [3], then [4].), then [2].).), then (Not [11].).).
If [13], then (If (Not (If (If [3], then [4].), then [2].).), then (Not [11].).).
Therefore, If (Not (If (If [3], then [4].), then [2].).), then (Not [11].)..
[SC2-2]
Modus Tonens:
If [2], then [7].
Not [7]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (Not [7].).
If [10], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Ecosystems interact with other ecosystems through the exchange of matter and energy.', 1: 'Most bright color helps plants.', 2: 'Cankerworms feed on hawthorn foliage during the spring.', 3: 'Sediments tend to collect at low elevations and in depressions in the earth.', 4: 'Pneumonia is infection of the lungs.', 5: 'Stock has (part) vacuoles.', 6: 'Most biscuits make from grain wheat.', 7: 'Water is matter because it has mass and takes up space.', 8: 'Disorder is caused by defects.', 9: 'Producers make their own food, producers are plants.', 10: 'Corn benefits from compost manure.', 11: 'Tropospheres contain methane.', 12: 'Most excretion removes metabolic waste products.', 13: 'Conservatives look to individual character values as a basis for a strong society.'}
| 7 |
6,992 |
['Given that suckers are soft-rayed fishes that possess a toothless, protractile mouth with distinctive lips, it can be inferred that most crabs eat prey.', 'Should it be the case that the claim that suckers are soft-rayed fishes that possess a toothless, protractile mouth with distinctive lips has no merit, it follows that asterism is possible in aqua producing either cats-eye or even star stones.', 'We know that either black metal tends to be misanthropic and hostile to modern society or predators improve survival.', 'On the condition that predators improve survival, it is definitely the case that those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong.', "So long as black metal tends to be misanthropic and hostile to modern society, 'ewes tend to be stressed during the last third of their pregnancy and while nursing lambs' is true.", "Once we know the statement that 'either phoebes breed statewide in Pennsylvania, except in heavily urbanized areas or if ewes tend to be stressed during the last third of their pregnancy and while nursing lambs, then those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong' is incorrect, we also know that if most female humans carry children, then most radiation causes skin cancer.", "When the statement that 'either phoebes breed statewide in Pennsylvania, except in heavily urbanized areas or if ewes tend to be stressed during the last third of their pregnancy and while nursing lambs, then those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong' is incorrect is true, it follows that those that suggest if most female humans carry children, then most radiation causes skin cancer are wrong.", 'There is good reason to believe that either if prions can also misfold on their own accord and give rise to disease, then colorful birds have features or most animals defend territory.', 'Once we know if prions can also misfold on their own accord and give rise to disease, then colorful birds have features, we also know that those that suggest phoebes breed statewide in Pennsylvania, except in heavily urbanized areas are wrong.', 'On the condition that most animals defend territory, it is definitely the case that those that suggest phoebes breed statewide in Pennsylvania, except in heavily urbanized areas are wrong.']
|
Given that suckers are soft-rayed fishes that possess a toothless, protractile mouth with distinctive lips, it can be inferred that most crabs eat prey. Should it be the case that the claim that suckers are soft-rayed fishes that possess a toothless, protractile mouth with distinctive lips has no merit, it follows that asterism is possible in aqua producing either cats-eye or even star stones. We know that either black metal tends to be misanthropic and hostile to modern society or predators improve survival. On the condition that predators improve survival, it is definitely the case that those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong. So long as black metal tends to be misanthropic and hostile to modern society, 'ewes tend to be stressed during the last third of their pregnancy and while nursing lambs' is true. Once we know the statement that 'either phoebes breed statewide in Pennsylvania, except in heavily urbanized areas or if ewes tend to be stressed during the last third of their pregnancy and while nursing lambs, then those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong' is incorrect, we also know that if most female humans carry children, then most radiation causes skin cancer. When the statement that 'either phoebes breed statewide in Pennsylvania, except in heavily urbanized areas or if ewes tend to be stressed during the last third of their pregnancy and while nursing lambs, then those that suggest asterism is possible in aqua producing either cats-eye or even star stones are wrong' is incorrect is true, it follows that those that suggest if most female humans carry children, then most radiation causes skin cancer are wrong. There is good reason to believe that either if prions can also misfold on their own accord and give rise to disease, then colorful birds have features or most animals defend territory. Once we know if prions can also misfold on their own accord and give rise to disease, then colorful birds have features, we also know that those that suggest phoebes breed statewide in Pennsylvania, except in heavily urbanized areas are wrong. On the condition that most animals defend territory, it is definitely the case that those that suggest phoebes breed statewide in Pennsylvania, except in heavily urbanized areas are wrong.
|
Many people rightly believe that most crabs eat prey.
|
The claim that most crabs eat prey does not reflect reality.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].). [SC2-3]
If [4], then (Not [2].).
Therefore, Not [2]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (Not [2].). [SC2-4]
Therefore, If [3], then (Not [2].)..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (If [5], then (Not [2].).). [SC1-5]
Not [6]. [SC2-5]
Therefore, If [5], then (Not [2].)..
[SC1-5]
Reductio Ad Absurdum:
If (Not (Either [6] or (If [5], then (Not [2].).).).), then (If [7], then [8].).
If (Not (Either [6] or (If [5], then (Not [2].).).).), then (Not (If [7], then [8].).).
Therefore, Either [6] or (If [5], then (Not [2].).)..
[SC2-5]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (Not [6].).
If [11], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Most crabs eat prey.', 1: 'Suckers are soft-rayed fishes that possess a toothless, protractile mouth with distinctive lips.', 2: 'Asterism is possible in aqua producing either cats-eye or even star stones.', 3: 'Black metal tends to be misanthropic and hostile to modern society.', 4: 'Predators improve survival.', 5: 'Ewes tend to be stressed during the last third of their pregnancy and while nursing lambs.', 6: 'Phoebes breed statewide in Pennsylvania, except in heavily urbanized areas.', 7: 'Most female humans carry children.', 8: 'Most radiation causes skin cancer.', 9: 'Prions can also misfold on their own accord and give rise to disease.', 10: 'Colorful birds have features.', 11: 'Most animals defend territory.'}
| 7 |
6,158 |
['One may reasonably assume that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then biggy agar is used to test for candida.', "We know that either a habitual criminal is a criminal or if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then some platypuses have scars.", "Given that some people mistakenly believe that if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then the claim that some platypuses have scars is false, it can be inferred that the notion that 'communities vary in species diversity and species richness' is untrue.", "So long as a habitual criminal is a criminal, 'scrap tires create serious health hazards, such as mosquito infestations and fires' is true.", "Should it be the case that some people mistakenly believe that if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then the claim that some platypuses have scars is false, it follows that women visit towns.", "So long as women visit towns, 'communities vary in species diversity and species richness' is true.", 'There is good reason to believe that either suicide rates increase with age or if a habitual criminal is a criminal, then the claim that scrap tires create serious health hazards, such as mosquito infestations and fires has no merit.', 'We know that the claim that suicide rates increase with age is false.']
|
One may reasonably assume that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then biggy agar is used to test for candida. We know that either a habitual criminal is a criminal or if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then some platypuses have scars. Given that some people mistakenly believe that if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then the claim that some platypuses have scars is false, it can be inferred that the notion that 'communities vary in species diversity and species richness' is untrue. So long as a habitual criminal is a criminal, 'scrap tires create serious health hazards, such as mosquito infestations and fires' is true. Should it be the case that some people mistakenly believe that if the claim that if volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle, then the statement 'biggy agar is used to test for candida' can be considered false is false, then the claim that some platypuses have scars is false, it follows that women visit towns. So long as women visit towns, 'communities vary in species diversity and species richness' is true. There is good reason to believe that either suicide rates increase with age or if a habitual criminal is a criminal, then the claim that scrap tires create serious health hazards, such as mosquito infestations and fires has no merit. We know that the claim that suicide rates increase with age is false.
|
The statement 'volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle' can be considered false.
|
The claim that volcanism also occurs in continental areas that are undergoing episodes of rifting does not reflect reality.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [2]. [SC1-2]
If (Not (If [0], then (Not [1].).).), then (Not [2].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [0], then (Not [1].).).), then [2].).
Not [4]. [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].). [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunctive Syllogism:
Either [7] or (If [4], then (Not [6].).).
Not [7].
Therefore, If [4], then (Not [6].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then [3]. [SC1-3]
If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then (Not [3].).
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [2].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then [5].
If [5], then [3].
Therefore, If (Not (If (Not (If [0], then (Not [1].).).), then (Not [2].).).), then [3]..
|
{0: 'Volcanism connects the lithosphere plate cycle with the biosphere-atmosphere cycle.', 1: 'Biggy agar is used to test for candida.', 2: 'Some platypuses have scars.', 3: 'Communities vary in species diversity and species richness.', 4: 'A habitual criminal is a criminal.', 5: 'Women visit towns.', 6: 'Scrap tires create serious health hazards, such as mosquito infestations and fires.', 7: 'Suicide rates increase with age.'}
| 7 |
6,154 |
['It is rational to believe that either some people say that a coastline has infinite length or colours mean different things to different people.', 'Provided that some people say that a coastline has infinite length , we know that crutchs cause injuries.', "So long as the statement that 'either b cells circulate around the body in the blood stream or it is not true that crutchs cause injuries' is incorrect, 'either many mammals dramatize their sexual differences in urination posture or some most birds eat dead animals' is true.", 'The claim that either many mammals dramatize their sexual differences in urination posture or some most birds eat dead animals does not reflect reality.', "So long as smoking is by far the number one cause of lung cancer , 'those that suggest b cells circulate around the body in the blood stream are wrong' is true.", 'If some tubes create vacuums, then those that suggest b cells circulate around the body in the blood stream are wrong.', 'The claim that if dietary fiber is found in an assortment of plant foods, then most plants are distinguished from plants does not correspond with reality.', 'Either benedictines cherish a tradition of hospitality or either if dietary fiber is found in an assortment of plant foods, then most plants are distinguished from plants or either smoking is by far the number one cause of lung cancer or some tubes create vacuums.', 'The claim that benedictines cherish a tradition of hospitality does not reflect reality.']
|
It is rational to believe that either some people say that a coastline has infinite length or colours mean different things to different people. Provided that some people say that a coastline has infinite length , we know that crutchs cause injuries. So long as the statement that 'either b cells circulate around the body in the blood stream or it is not true that crutchs cause injuries' is incorrect, 'either many mammals dramatize their sexual differences in urination posture or some most birds eat dead animals' is true. The claim that either many mammals dramatize their sexual differences in urination posture or some most birds eat dead animals does not reflect reality. So long as smoking is by far the number one cause of lung cancer , 'those that suggest b cells circulate around the body in the blood stream are wrong' is true. If some tubes create vacuums, then those that suggest b cells circulate around the body in the blood stream are wrong. The claim that if dietary fiber is found in an assortment of plant foods, then most plants are distinguished from plants does not correspond with reality. Either benedictines cherish a tradition of hospitality or either if dietary fiber is found in an assortment of plant foods, then most plants are distinguished from plants or either smoking is by far the number one cause of lung cancer or some tubes create vacuums. The claim that benedictines cherish a tradition of hospitality does not reflect reality.
|
The statement 'colours mean different things to different people' is true.
|
It is not the case that colours mean different things to different people.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Tonens:
If (Not (Either [3] or (Not [2].).).), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, Either [3] or (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
[SC1-4]
Disjunctive Syllogism:
Either (If [8], then [9].) or (Either [6] or [7].). [SC1-5]
Not (If [8], then [9].).
Therefore, Either [6] or [7]..
[SC1-5]
Disjunctive Syllogism:
Either [10] or (Either (If [8], then [9].) or (Either [6] or [7].).).
Not [10].
Therefore, Either (If [8], then [9].) or (Either [6] or [7].)..
|
{0: 'Colours mean different things to different people.', 1: 'Some people say that a coastline has infinite length .', 2: 'Crutchs cause injuries.', 3: 'B cells circulate around the body in the blood stream.', 4: 'Many mammals dramatize their sexual differences in urination posture.', 5: 'Some most birds eat dead animals.', 6: 'Smoking is by far the number one cause of lung cancer .', 7: 'Some tubes create vacuums.', 8: 'Dietary fiber is found in an assortment of plant foods.', 9: 'Most plants are distinguished from plants.', 10: 'Benedictines cherish a tradition of hospitality.'}
| 7 |
6,040 |
['Given that today there are concerns from parents and doctors alike about the benefits of circumcision, it can be inferred that if pythons have (part) chest cavities, then most hummingbirds drink sugar water.', "So long as it is a common misconception that either today there are concerns from parents and doctors alike about the benefits of circumcision or most compound eyes detect movement, 'physical activity is important for weight maintenance, too' is true.", 'Given that it is a common misconception that either today there are concerns from parents and doctors alike about the benefits of circumcision or most compound eyes detect movement, it can be inferred that some people mistakenly believe that physical activity is important for weight maintenance, too.', 'Should it be the case that most compound eyes detect movement, it follows that intelligence emerges with sufficient configural complexity of neurons.', 'It is a fact that either either cuttlefish are active predators or friends are capable of talk or if most vegetation surrounds habitats, then eaters have (part) corpi.', 'Given that either cuttlefish are active predators or friends are capable of talk, it can be inferred that if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water.', 'Assuming it is not the case that carbon is the fourth most common element in the sun, we know that rabbits are less rangy than hares, and smaller and their young are born naked and helpless.', 'Some people mistakenly believe that rabbits are less rangy than hares, and smaller and their young are born naked and helpless.', 'We know that either eurasia has (part) Mongolia or people dealing with chronic pain fear the reactions of family, friends and society in general.', 'One may reasonably assume that if eurasia has (part) Mongolia, then if if most vegetation surrounds habitats, then eaters have (part) corpi, then if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water.', 'Provided that people dealing with chronic pain fear the reactions of family, friends and society in general, we know that if if most vegetation surrounds habitats, then eaters have (part) corpi, then if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water.']
|
Given that today there are concerns from parents and doctors alike about the benefits of circumcision, it can be inferred that if pythons have (part) chest cavities, then most hummingbirds drink sugar water. So long as it is a common misconception that either today there are concerns from parents and doctors alike about the benefits of circumcision or most compound eyes detect movement, 'physical activity is important for weight maintenance, too' is true. Given that it is a common misconception that either today there are concerns from parents and doctors alike about the benefits of circumcision or most compound eyes detect movement, it can be inferred that some people mistakenly believe that physical activity is important for weight maintenance, too. Should it be the case that most compound eyes detect movement, it follows that intelligence emerges with sufficient configural complexity of neurons. It is a fact that either either cuttlefish are active predators or friends are capable of talk or if most vegetation surrounds habitats, then eaters have (part) corpi. Given that either cuttlefish are active predators or friends are capable of talk, it can be inferred that if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water. Assuming it is not the case that carbon is the fourth most common element in the sun, we know that rabbits are less rangy than hares, and smaller and their young are born naked and helpless. Some people mistakenly believe that rabbits are less rangy than hares, and smaller and their young are born naked and helpless. We know that either eurasia has (part) Mongolia or people dealing with chronic pain fear the reactions of family, friends and society in general. One may reasonably assume that if eurasia has (part) Mongolia, then if if most vegetation surrounds habitats, then eaters have (part) corpi, then if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water. Provided that people dealing with chronic pain fear the reactions of family, friends and society in general, we know that if if most vegetation surrounds habitats, then eaters have (part) corpi, then if carbon is the fourth most common element in the sun, then if intelligence emerges with sufficient configural complexity of neurons, then if pythons have (part) chest cavities, then most hummingbirds drink sugar water.
|
One may reasonably assume that if pythons have (part) chest cavities, then most hummingbirds drink sugar water.
|
One may reasonably assume that if pythons have (part) chest cavities, then most hummingbirds drink sugar water.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].).
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
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]..
[SC3-1]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If [0], then [1].). [SC2-2]
Therefore, If [3], then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [6], then (If [5], then (If [0], then [1].).). [SC1-3]
[6] [SC2-3]
Therefore, If [5], then (If [0], then [1].)..
[SC1-3]
Disjunction Elimination:
Either (Either [8] or [9].) or (If [10], then [11].).
If (Either [8] or [9].), then (If [6], then (If [5], then (If [0], then [1].).).).
If (If [10], then [11].), then (If [6], then (If [5], then (If [0], then [1].).).). [SC3-4]
Therefore, If [6], then (If [5], then (If [0], then [1].).)..
[SC3-4]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If (If [10], then [11].), then (If [6], then (If [5], then (If [0], then [1].).).).).
If [13], then (If (If [10], then [11].), then (If [6], then (If [5], then (If [0], then [1].).).).).
Therefore, If (If [10], then [11].), then (If [6], then (If [5], then (If [0], then [1].).).)..
[SC2-3]
Modus Tonens:
If (Not [6].), then [7].
Not [7].
Therefore, [6].
|
{0: 'Pythons have (part) chest cavities.', 1: 'Most hummingbirds drink sugar water.', 2: 'Today there are concerns from parents and doctors alike about the benefits of circumcision.', 3: 'Most compound eyes detect movement.', 4: 'Physical activity is important for weight maintenance, too.', 5: 'Intelligence emerges with sufficient configural complexity of neurons.', 6: 'Carbon is the fourth most common element in the sun.', 7: 'Rabbits are less rangy than hares, and smaller and their young are born naked and helpless.', 8: 'Cuttlefish are active predators.', 9: 'Friends are capable of talk.', 10: 'Most vegetation surrounds habitats.', 11: 'Eaters have (part) corpi.', 12: 'Eurasia has (part) Mongolia.', 13: 'People dealing with chronic pain fear the reactions of family, friends and society in general.'}
| 7 |
6,585 |
["When the claim that if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then freemen have (part) personality is false is true, it follows that rare diseases involving hypertrophy A number of very rare diseases also exhibit hypertrophy.", "Assuming the statement that states if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then the statement 'freemen have (part) personality' can be considered false is false, we know that diatoms store their food in a polysaccharide called laminarin, just like golden algae do.", "Whenever it is true that we know that the claim that if the claim that if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then freemen have (part) personality is false, then it is a common misconception that rare diseases involving hypertrophy A number of very rare diseases also exhibit hypertrophy is false, 'a clozapine is a neuroleptic' is true.", 'The claim that a clozapine is a neuroleptic does not reflect reality.', "The statement 'ammonia results primarily from agricultural operations' is true.", 'It is not the case that most astronauts eat food.', "Either one or both of these statements are true: lizards hunt insects, or either most astronauts eat food or if ammonia results primarily from agricultural operations, then if the statement that states if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then the statement 'freemen have (part) personality' can be considered false is false, then the notion that 'diatoms store their food in a polysaccharide called laminarin, just like golden algae do' is untrue.", 'We know that the claim that lizards hunt insects is false.']
|
When the claim that if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then freemen have (part) personality is false is true, it follows that rare diseases involving hypertrophy A number of very rare diseases also exhibit hypertrophy. Assuming the statement that states if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then the statement 'freemen have (part) personality' can be considered false is false, we know that diatoms store their food in a polysaccharide called laminarin, just like golden algae do. Whenever it is true that we know that the claim that if the claim that if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then freemen have (part) personality is false, then it is a common misconception that rare diseases involving hypertrophy A number of very rare diseases also exhibit hypertrophy is false, 'a clozapine is a neuroleptic' is true. The claim that a clozapine is a neuroleptic does not reflect reality. The statement 'ammonia results primarily from agricultural operations' is true. It is not the case that most astronauts eat food. Either one or both of these statements are true: lizards hunt insects, or either most astronauts eat food or if ammonia results primarily from agricultural operations, then if the statement that states if either people desire pornography or some data suggest that it reduces the blood's tendency to clot, then the statement 'freemen have (part) personality' can be considered false is false, then the notion that 'diatoms store their food in a polysaccharide called laminarin, just like golden algae do' is untrue. We know that the claim that lizards hunt insects is false.
|
The notion that 'either people desire pornography or some data suggest that it reduces the blood's tendency to clot' is untrue.
|
The claim that people are cold is false.
|
Uncertain
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [0] or [1].), then [2].).), then [4].
If (Not (If (Either [0] or [1].), then [2].).), then (Not [4].). [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If (Either [0] or [1].), then [2].).), then (Not [4].).).), then [6].
Not [6].
Therefore, If (Not (If (Either [0] or [1].), then [2].).), then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Either [0] or [1].), then (Not [2].).).), then [3].
If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].). [SC2-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].).). [SC1-3]
[5]
Therefore, If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If [5], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].).).). [SC1-4]
Not [7].
Therefore, If [5], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].).)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (Either [7] or (If [5], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].).).).).
Not [8].
Therefore, Either [7] or (If [5], then (If (Not (If (Either [0] or [1].), then (Not [2].).).), then (Not [3].).).)..
|
{0: 'People desire pornography.', 1: "Some data suggest that it reduces the blood's tendency to clot.", 2: 'Freemen have (part) personality.', 3: 'Diatoms store their food in a polysaccharide called laminarin, just like golden algae do.', 4: 'Rare diseases involving hypertrophy A number of very rare diseases also exhibit hypertrophy.', 5: 'Ammonia results primarily from agricultural operations.', 6: 'A clozapine is a neuroleptic.', 7: 'Most astronauts eat food.', 8: 'Lizards hunt insects.'}
| 7 |
6,805 |
["Given that the statement that 'sloth bears have fur' is incorrect, it can be inferred that the statement that 'wet surfaces provide a path for electric current to follow decreasing resistance' is incorrect.", "One may reasonably assume that if forensic sculptors can reconstruct faces, usually in modeling clay or on a computer, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance.", 'There is good reason to believe that either either most birds hear prey or torture is an act that defies the boundaries of language or either forensic sculptors can reconstruct faces, usually in modeling clay or on a computer or radio buttons work as a toggle switch.', "Provided that the statement that states if radio buttons work as a toggle switch, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance is false, we know that most diets interfere with calcium absorption.", "So long as the statement that states if radio buttons work as a toggle switch, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance is false, 'those that suggest most diets interfere with calcium absorption are wrong' is true.", 'Either germ cells navigate through and along different tissue to reach the somatic part of the gonad or either sound waves cause the diaphragm to vibrate at the same frequency as the sound waves or those that suggest either most birds hear prey or torture is an act that defies the boundaries of language are wrong.', 'The claim that germ cells navigate through and along different tissue to reach the somatic part of the gonad does not correspond with reality.', "So long as head lice are tiny insects that live only on people's scalp and hair, 'it is not the case that sound waves cause the diaphragm to vibrate at the same frequency as the sound waves' is true.", "It is a simple truth that head lice are tiny insects that live only on people's scalp and hair."]
|
Given that the statement that 'sloth bears have fur' is incorrect, it can be inferred that the statement that 'wet surfaces provide a path for electric current to follow decreasing resistance' is incorrect. One may reasonably assume that if forensic sculptors can reconstruct faces, usually in modeling clay or on a computer, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance. There is good reason to believe that either either most birds hear prey or torture is an act that defies the boundaries of language or either forensic sculptors can reconstruct faces, usually in modeling clay or on a computer or radio buttons work as a toggle switch. Provided that the statement that states if radio buttons work as a toggle switch, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance is false, we know that most diets interfere with calcium absorption. So long as the statement that states if radio buttons work as a toggle switch, then if the statement that 'sloth bears have fur' is incorrect, then wet surfaces provide a path for electric current to follow decreasing resistance is false, 'those that suggest most diets interfere with calcium absorption are wrong' is true. Either germ cells navigate through and along different tissue to reach the somatic part of the gonad or either sound waves cause the diaphragm to vibrate at the same frequency as the sound waves or those that suggest either most birds hear prey or torture is an act that defies the boundaries of language are wrong. The claim that germ cells navigate through and along different tissue to reach the somatic part of the gonad does not correspond with reality. So long as head lice are tiny insects that live only on people's scalp and hair, 'it is not the case that sound waves cause the diaphragm to vibrate at the same frequency as the sound waves' is true. It is a simple truth that head lice are tiny insects that live only on people's scalp and hair.
|
The statement 'sloth bears have fur' is true.
|
The notion that 'sloth bears have fur' is untrue.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Either [2] or [3].).
Not (Either [5] or [6].). [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not (Either [5] or [6].).). [SC1-4]
Not [7]. [SC2-4]
Therefore, Not (Either [5] or [6].)..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (Either [7] or (Not (Either [5] or [6].).).).
Not [9].
Therefore, Either [7] or (Not (Either [5] or [6].).)..
[SC2-4]
Modus Ponens:
If [8], then (Not [7].).
[8]
Therefore, Not [7]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then [1].).).), then [4].
If (Not (If [3], then (If (Not [0].), then [1].).).), then (Not [4].).
Therefore, If [3], then (If (Not [0].), then [1].)..
|
{0: 'Sloth bears have fur.', 1: 'Wet surfaces provide a path for electric current to follow decreasing resistance.', 2: 'Forensic sculptors can reconstruct faces, usually in modeling clay or on a computer.', 3: 'Radio buttons work as a toggle switch.', 4: 'Most diets interfere with calcium absorption.', 5: 'Most birds hear prey.', 6: 'Torture is an act that defies the boundaries of language.', 7: 'Sound waves cause the diaphragm to vibrate at the same frequency as the sound waves.', 8: "Head lice are tiny insects that live only on people's scalp and hair.", 9: 'Germ cells navigate through and along different tissue to reach the somatic part of the gonad.'}
| 7 |
6,592 |
['It is a simple truth that some salamanders swim in lakes.', 'Given that if pets get necessary nutrients, then some humans starve to death, it can be inferred that insects living in fresh water are generally hyperosmotic to their environment.', "Whenever it is true that either synthesizers are electronic instruments or most fish have flaky white flesh, 'sculptors are more conscious of materials and technology' is true.", 'When sculptors are more conscious of materials and technology is true, it follows that if some salamanders swim in lakes, then if pets get necessary nutrients, then some humans starve to death.', 'We know that at least one of two things is true: peerages are nobility, or fire also helps set back the successional stage and prevents the growth of woody vegetation.', 'Given that it is not true that if peerages are nobility, then synthesizers are electronic instruments, it can be inferred that bears kill prey.', 'The claim that bears kill prey has no merit.', "So long as fire also helps set back the successional stage and prevents the growth of woody vegetation, 'atmospheric pressure is influenced by temperature' is true.", 'When atmospheric pressure is influenced by temperature is true, it follows that most fish have flaky white flesh.']
|
It is a simple truth that some salamanders swim in lakes. Given that if pets get necessary nutrients, then some humans starve to death, it can be inferred that insects living in fresh water are generally hyperosmotic to their environment. Whenever it is true that either synthesizers are electronic instruments or most fish have flaky white flesh, 'sculptors are more conscious of materials and technology' is true. When sculptors are more conscious of materials and technology is true, it follows that if some salamanders swim in lakes, then if pets get necessary nutrients, then some humans starve to death. We know that at least one of two things is true: peerages are nobility, or fire also helps set back the successional stage and prevents the growth of woody vegetation. Given that it is not true that if peerages are nobility, then synthesizers are electronic instruments, it can be inferred that bears kill prey. The claim that bears kill prey has no merit. So long as fire also helps set back the successional stage and prevents the growth of woody vegetation, 'atmospheric pressure is influenced by temperature' is true. When atmospheric pressure is influenced by temperature is true, it follows that most fish have flaky white flesh.
|
insects living in fresh water are generally hyperosmotic to their environment.
|
Insects living in fresh water are generally hyperosmotic to their environment.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then [0].
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (If [1], then (If [2], then [3].).). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, If [1], then (If [2], then [3].)..
[SC1-3]
Hypothetical Syllogism:
If (Either [4] or [5].), then [6].
If [6], then (If [1], then (If [2], then [3].).).
Therefore, If (Either [4] or [5].), then (If [1], then (If [2], then [3].).)..
[SC2-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [4]. [SC2-4]
If [8], then [5]. [SC3-4]
Therefore, Either [4] or [5]..
[SC2-4]
Modus Tonens:
If (Not (If [7], then [4].).), then [10].
Not [10].
Therefore, If [7], then [4]..
[SC3-4]
Hypothetical Syllogism:
If [8], then [9].
If [9], then [5].
Therefore, If [8], then [5]..
|
{0: 'Insects living in fresh water are generally hyperosmotic to their environment.', 1: 'Some salamanders swim in lakes.', 2: 'Pets get necessary nutrients.', 3: 'Some humans starve to death.', 4: 'Synthesizers are electronic instruments.', 5: 'Most fish have flaky white flesh.', 6: 'Sculptors are more conscious of materials and technology.', 7: 'Peerages are nobility.', 8: 'Fire also helps set back the successional stage and prevents the growth of woody vegetation.', 9: 'Atmospheric pressure is influenced by temperature.', 10: 'Bears kill prey.'}
| 7 |
6,964 |
['It is not the case that most mammalian hearts pump blood.', 'Either either computer skills enable employees to perform more efficiently and adapt to change with confidence or geese have organs or fibroids are benign tumors of the muscle of the uterus.', 'Provided that either computer skills enable employees to perform more efficiently and adapt to change with confidence or geese have organs, we know that if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens.', 'If the claim that people do insist in thinking that older people are asexual does not correspond with reality, then either octopods are active and intelligent predators, with good eyesight and brains or delphinium has no florets or they are full of holes.', 'There is good reason to believe that either evangelism is a lifestyle or either music is a temporal art which is made up of organized sound for an expressive purpose or epilepsy is also well-hidden in another sense.', 'When evangelism is a lifestyle is true, it follows that if fibroids are benign tumors of the muscle of the uterus, then if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens.', 'One may reasonably assume that if either music is a temporal art which is made up of organized sound for an expressive purpose or epilepsy is also well-hidden in another sense, then if fibroids are benign tumors of the muscle of the uterus, then if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens.', 'On the condition that scripture plainly teaches that a person is judged when they die, it is definitely the case that we know that the claim that either octopods are active and intelligent predators, with good eyesight and brains or delphinium has no florets or they are full of holes is false.', 'Assuming it is not true that if the claim that people do insist in thinking that older people are asexual does not correspond with reality, then scripture plainly teaches that a person is judged when they die, we know that a cockatoo is a parrot.', 'If it is not true that if the claim that people do insist in thinking that older people are asexual does not correspond with reality, then scripture plainly teaches that a person is judged when they die, then those that suggest a cockatoo is a parrot are wrong.']
|
It is not the case that most mammalian hearts pump blood. Either either computer skills enable employees to perform more efficiently and adapt to change with confidence or geese have organs or fibroids are benign tumors of the muscle of the uterus. Provided that either computer skills enable employees to perform more efficiently and adapt to change with confidence or geese have organs, we know that if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens. If the claim that people do insist in thinking that older people are asexual does not correspond with reality, then either octopods are active and intelligent predators, with good eyesight and brains or delphinium has no florets or they are full of holes. There is good reason to believe that either evangelism is a lifestyle or either music is a temporal art which is made up of organized sound for an expressive purpose or epilepsy is also well-hidden in another sense. When evangelism is a lifestyle is true, it follows that if fibroids are benign tumors of the muscle of the uterus, then if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens. One may reasonably assume that if either music is a temporal art which is made up of organized sound for an expressive purpose or epilepsy is also well-hidden in another sense, then if fibroids are benign tumors of the muscle of the uterus, then if people do insist in thinking that older people are asexual, then either most mammalian hearts pump blood or if subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray, then most eggs make chickens. On the condition that scripture plainly teaches that a person is judged when they die, it is definitely the case that we know that the claim that either octopods are active and intelligent predators, with good eyesight and brains or delphinium has no florets or they are full of holes is false. Assuming it is not true that if the claim that people do insist in thinking that older people are asexual does not correspond with reality, then scripture plainly teaches that a person is judged when they die, we know that a cockatoo is a parrot. If it is not true that if the claim that people do insist in thinking that older people are asexual does not correspond with reality, then scripture plainly teaches that a person is judged when they die, then those that suggest a cockatoo is a parrot are wrong.
|
When subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray is true, it follows that most eggs make chickens.
|
When subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray is true, it follows that most eggs make chickens.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [3], then (Either [2] or (If [0], then [1].).). [SC1-2]
[3] [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (If [3], then (Either [2] or (If [0], then [1].).).).
If [6], then (If [3], then (Either [2] or (If [0], then [1].).).). [SC3-3]
Therefore, If [3], then (Either [2] or (If [0], then [1].).)..
[SC3-3]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [6], then (If [3], then (Either [2] or (If [0], then [1].).).).).
If (Either [10] or [11].), then (If [6], then (If [3], then (Either [2] or (If [0], then [1].).).).).
Therefore, If [6], then (If [3], then (Either [2] or (If [0], then [1].).).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then (Either [7] or [8].).
If (Not [3].), then (Not (Either [7] or [8].).). [SC2-3]
Therefore, [3].
[SC2-3]
Hypothetical Syllogism:
If (Not [3].), then [12]. [SC1-4]
If [12], then (Not (Either [7] or [8].).).
Therefore, If (Not [3].), then (Not (Either [7] or [8].).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not [3].), then [12].).), then [13].
If (Not (If (Not [3].), then [12].).), then (Not [13].).
Therefore, If (Not [3].), then [12]..
|
{0: 'Subcutaneous insulin is given only by syringe, pen, autoinjector, or hyprospray.', 1: 'Most eggs make chickens.', 2: 'Most mammalian hearts pump blood.', 3: 'People do insist in thinking that older people are asexual.', 4: 'Computer skills enable employees to perform more efficiently and adapt to change with confidence.', 5: 'Geese have organs.', 6: 'Fibroids are benign tumors of the muscle of the uterus.', 7: 'Octopods are active and intelligent predators, with good eyesight and brains.', 8: 'Delphinium has no florets or they are full of holes.', 9: 'Evangelism is a lifestyle.', 10: 'Music is a temporal art which is made up of organized sound for an expressive purpose.', 11: 'Epilepsy is also well-hidden in another sense.', 12: 'Scripture plainly teaches that a person is judged when they die.', 13: 'A cockatoo is a parrot.'}
| 7 |
6,266 |
['It is rational to believe that either rung isa device or some eggs make geese.', "Once we know rung isa device, we also know that if if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode, then if shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world, then underwater photography presents rare views of some the world's most spectacular wildlife.", "Whenever it is true that some eggs make geese, 'if if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode, then if shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world, then underwater photography presents rare views of some the world's most spectacular wildlife' is true.", "If the statement that 'if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode' is incorrect, then diggers have (part) vacuoles.", "Assuming the statement that 'if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode' is incorrect, we know that the claim that diggers have (part) vacuoles does not correspond with reality.", "We know that at least one of two things is true: indian tribes control numerous natural resources ranging from timber to minerals, or if underwater photography presents rare views of some the world's most spectacular wildlife, then night terrors can also occur on their own, without leading to sleep walking.", 'The statement that states indian tribes control numerous natural resources ranging from timber to minerals is false.', 'Once we know night terrors can also occur on their own, without leading to sleep walking, we also know that some migration involves flight.', 'We know that the claim that some migration involves flight is false.']
|
It is rational to believe that either rung isa device or some eggs make geese. Once we know rung isa device, we also know that if if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode, then if shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world, then underwater photography presents rare views of some the world's most spectacular wildlife. Whenever it is true that some eggs make geese, 'if if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode, then if shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world, then underwater photography presents rare views of some the world's most spectacular wildlife' is true. If the statement that 'if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode' is incorrect, then diggers have (part) vacuoles. Assuming the statement that 'if single women have concerns that go beyond equality of opportunity, then hookworm isa nematode' is incorrect, we know that the claim that diggers have (part) vacuoles does not correspond with reality. We know that at least one of two things is true: indian tribes control numerous natural resources ranging from timber to minerals, or if underwater photography presents rare views of some the world's most spectacular wildlife, then night terrors can also occur on their own, without leading to sleep walking. The statement that states indian tribes control numerous natural resources ranging from timber to minerals is false. Once we know night terrors can also occur on their own, without leading to sleep walking, we also know that some migration involves flight. We know that the claim that some migration involves flight is false.
|
It is not true that shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world.
|
It is not true that shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If [0], then [1].). [SC1-2]
If [3], then [4]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (If [3], then [4].), then (If [0], then [1].).).
If [9], then (If (If [3], then [4].), then (If [0], then [1].).).
Therefore, If (If [3], then [4].), then (If [0], then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then [4].).), then [5].
If (Not (If [3], then [4].).), then (Not [5].).
Therefore, If [3], then [4]..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If [1], then [2].).
Not [6].
Therefore, If [1], then [2]..
[SC2-2]
Modus Tonens:
If [2], then [7].
Not [7].
Therefore, Not [2]..
|
{0: 'Shamanism is viewed as a way to to maintain communication between the Hmong and the spiritual world.', 1: "Underwater photography presents rare views of some the world's most spectacular wildlife.", 2: 'Night terrors can also occur on their own, without leading to sleep walking.', 3: 'Single women have concerns that go beyond equality of opportunity.', 4: 'Hookworm isa nematode.', 5: 'Diggers have (part) vacuoles.', 6: 'Indian tribes control numerous natural resources ranging from timber to minerals.', 7: 'Some migration involves flight.', 8: 'Rung isa device.', 9: 'Some eggs make geese.'}
| 7 |
6,406 |
['On the condition that advertising is one of the ways to make money, it is definitely the case that oil spills are only the beginning when it comes to marine disasters.', 'On the condition that embryos weigh twenty pounds and measure over fifty inches, it is definitely the case that oil spills are only the beginning when it comes to marine disasters.', "We know that either age also varies by type of disability or if the statement that 'either advertising is one of the ways to make money or embryos weigh twenty pounds and measure over fifty inches' is incorrect, then most american flamingos reach maturity.", "We know that either somatic coliphages emerge as the best indicators of pathogenic contamination or if the statement that 'either advertising is one of the ways to make money or embryos weigh twenty pounds and measure over fifty inches' is incorrect, then we know that the claim that most american flamingos reach maturity is false.", "The notion that 'somatic coliphages emerge as the best indicators of pathogenic contamination' is untrue.", 'When it is not the case that if age also varies by type of disability, then forest fires kill many plants and animals, burn down buildings, and can quickly kill people is true, it follows that if chemotherapy is much easier to tolerate today than even a few years ago, then spiders are predators.', 'The claim that if chemotherapy is much easier to tolerate today than even a few years ago, then spiders are predators is false.', 'If silken tofu is a creamy product that is a good replacement for sour cream in many dip recipes, then the claim that forest fires kill many plants and animals, burn down buildings, and can quickly kill people does not correspond with reality.', "The statement 'silken tofu is a creamy product that is a good replacement for sour cream in many dip recipes' is true."]
|
On the condition that advertising is one of the ways to make money, it is definitely the case that oil spills are only the beginning when it comes to marine disasters. On the condition that embryos weigh twenty pounds and measure over fifty inches, it is definitely the case that oil spills are only the beginning when it comes to marine disasters. We know that either age also varies by type of disability or if the statement that 'either advertising is one of the ways to make money or embryos weigh twenty pounds and measure over fifty inches' is incorrect, then most american flamingos reach maturity. We know that either somatic coliphages emerge as the best indicators of pathogenic contamination or if the statement that 'either advertising is one of the ways to make money or embryos weigh twenty pounds and measure over fifty inches' is incorrect, then we know that the claim that most american flamingos reach maturity is false. The notion that 'somatic coliphages emerge as the best indicators of pathogenic contamination' is untrue. When it is not the case that if age also varies by type of disability, then forest fires kill many plants and animals, burn down buildings, and can quickly kill people is true, it follows that if chemotherapy is much easier to tolerate today than even a few years ago, then spiders are predators. The claim that if chemotherapy is much easier to tolerate today than even a few years ago, then spiders are predators is false. If silken tofu is a creamy product that is a good replacement for sour cream in many dip recipes, then the claim that forest fires kill many plants and animals, burn down buildings, and can quickly kill people does not correspond with reality. The statement 'silken tofu is a creamy product that is a good replacement for sour cream in many dip recipes' is true.
|
oil spills are only the beginning when it comes to marine disasters.
|
Many oil spills result in the fatalities of the water and land animals that live in that area.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (Either [1] or [2].).), then [3].).
Not [4]. [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC2-3]
Modus Tonens:
If [4], then [6]. [SC1-4]
Not [6]. [SC2-4]
Therefore, Not [4]..
[SC1-4]
Modus Tonens:
If (Not (If [4], then [6].).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If [4], then [6]..
[SC2-4]
Modus Ponens:
If [7], then (Not [6].).
[7]
Therefore, Not [6]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [1] or [2].).), then (Not [3].).).
Not [5].
Therefore, If (Not (Either [1] or [2].).), then (Not [3].)..
|
{0: 'Oil spills are only the beginning when it comes to marine disasters.', 1: 'Advertising is one of the ways to make money.', 2: 'Embryos weigh twenty pounds and measure over fifty inches.', 3: 'Most american flamingos reach maturity.', 4: 'Age also varies by type of disability.', 5: 'Somatic coliphages emerge as the best indicators of pathogenic contamination.', 6: 'Forest fires kill many plants and animals, burn down buildings, and can quickly kill people.', 7: 'Silken tofu is a creamy product that is a good replacement for sour cream in many dip recipes.', 8: 'Chemotherapy is much easier to tolerate today than even a few years ago.', 9: 'Spiders are predators.'}
| 7 |
6,294 |
['The statement that states enteric pathogens express a variety of virulence factors associated with the production of disease is false.', "On the condition that it is not the case that if beavers build dams from logs and mud if there are no open expanses of water to live in, then if reduplication is syllables, then enteric pathogens express a variety of virulence factors associated with the production of disease, it is definitely the case that the statement that 'most enteric neurons have no central connections at all, however' is incorrect.", 'Should it be the case that either people can have more than one dog or hazardous wastes require special disposal, it follows that if it is not the case that if beavers build dams from logs and mud if there are no open expanses of water to live in, then if reduplication is syllables, then enteric pathogens express a variety of virulence factors associated with the production of disease, then most enteric neurons have no central connections at all, however.', 'Either people can have more than one dog or hazardous wastes require special disposal.', 'At least one of two things is true: subjective information is intrinsic to the development of complex modelling systems, or if zebras are highly sociable animals that roam the savanna in herds for protection from predators, then sex is engaged in for pleasure and socialization as well.', 'When subjective information is intrinsic to the development of complex modelling systems is true, it follows that either most rhinoceroses have lips or beavers build dams from logs and mud if there are no open expanses of water to live in.', 'One may reasonably assume that if if zebras are highly sociable animals that roam the savanna in herds for protection from predators, then sex is engaged in for pleasure and socialization as well, then either most rhinoceroses have lips or beavers build dams from logs and mud if there are no open expanses of water to live in.', "Once we know eternal being is beyond our capacity to imagine or conceive in terms that are positive, we also know that the notion that 'most rhinoceroses have lips' is untrue.", 'The claim that eternal being is beyond our capacity to imagine or conceive in terms that are positive holds true.']
|
The statement that states enteric pathogens express a variety of virulence factors associated with the production of disease is false. On the condition that it is not the case that if beavers build dams from logs and mud if there are no open expanses of water to live in, then if reduplication is syllables, then enteric pathogens express a variety of virulence factors associated with the production of disease, it is definitely the case that the statement that 'most enteric neurons have no central connections at all, however' is incorrect. Should it be the case that either people can have more than one dog or hazardous wastes require special disposal, it follows that if it is not the case that if beavers build dams from logs and mud if there are no open expanses of water to live in, then if reduplication is syllables, then enteric pathogens express a variety of virulence factors associated with the production of disease, then most enteric neurons have no central connections at all, however. Either people can have more than one dog or hazardous wastes require special disposal. At least one of two things is true: subjective information is intrinsic to the development of complex modelling systems, or if zebras are highly sociable animals that roam the savanna in herds for protection from predators, then sex is engaged in for pleasure and socialization as well. When subjective information is intrinsic to the development of complex modelling systems is true, it follows that either most rhinoceroses have lips or beavers build dams from logs and mud if there are no open expanses of water to live in. One may reasonably assume that if if zebras are highly sociable animals that roam the savanna in herds for protection from predators, then sex is engaged in for pleasure and socialization as well, then either most rhinoceroses have lips or beavers build dams from logs and mud if there are no open expanses of water to live in. Once we know eternal being is beyond our capacity to imagine or conceive in terms that are positive, we also know that the notion that 'most rhinoceroses have lips' is untrue. The claim that eternal being is beyond our capacity to imagine or conceive in terms that are positive holds true.
|
It is a common misconception that reduplication is syllables.
|
Those that suggest reduplication is repetition are wrong.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then [4]. [SC1-3]
If (Not (If [2], then (If [0], then [1].).).), then (Not [4].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (If (Not (If [2], then (If [0], then [1].).).), then [4].).
Either [8] or [9].
Therefore, If (Not (If [2], then (If [0], then [1].).).), then [4]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or [2]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Either [3] or [2].).
If (If [6], then [7].), then (Either [3] or [2].).
Therefore, Either [3] or [2]..
[SC2-3]
Modus Ponens:
If [10], then (Not [3].).
[10]
Therefore, Not [3]..
|
{0: 'Reduplication is syllables.', 1: 'Enteric pathogens express a variety of virulence factors associated with the production of disease.', 2: 'Beavers build dams from logs and mud if there are no open expanses of water to live in.', 3: 'Most rhinoceroses have lips.', 4: 'Most enteric neurons have no central connections at all, however.', 5: 'Subjective information is intrinsic to the development of complex modelling systems.', 6: 'Zebras are highly sociable animals that roam the savanna in herds for protection from predators.', 7: 'Sex is engaged in for pleasure and socialization as well.', 8: 'People can have more than one dog.', 9: 'Hazardous wastes require special disposal.', 10: 'Eternal being is beyond our capacity to imagine or conceive in terms that are positive.'}
| 7 |
6,604 |
['One may reasonably assume that if dwarf isa individual, then faith is the key to getting people free of demons.', "Whenever it is true that we know that the claim that if we know that the claim that dwarf isa individual is false, then either water boils if it is heated above a certain temperature or most domestic dogs show patterns is false, 'some pathways regulate maturation' is true.", 'It is not the case that some pathways regulate maturation.', 'When we know that the claim that dwarf isa individual is false is true, it follows that uniformity leads to fascism.', "So long as either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes, 'if uniformity leads to fascism, then the claim that either water boils if it is heated above a certain temperature or most domestic dogs show patterns has no merit' is true.", 'Provided that if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands, we know that if uniformity leads to fascism, then the claim that either water boils if it is heated above a certain temperature or most domestic dogs show patterns has no merit.', 'Either libation is an act of pouring drinks as offering to ancestors or if reproductive behaviour is difficult to observe as it usually takes place when it is totally dark, then prokaryotes live in habitats.', 'On the condition that if reproductive behaviour is difficult to observe as it usually takes place when it is totally dark, then prokaryotes live in habitats, it is definitely the case that either either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes or if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands.', "Whenever it is true that libation is an act of pouring drinks as offering to ancestors, 'most cattle graze in fields' is true.", 'Given that most cattle graze in fields, it can be inferred that either either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes or if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands.']
|
One may reasonably assume that if dwarf isa individual, then faith is the key to getting people free of demons. Whenever it is true that we know that the claim that if we know that the claim that dwarf isa individual is false, then either water boils if it is heated above a certain temperature or most domestic dogs show patterns is false, 'some pathways regulate maturation' is true. It is not the case that some pathways regulate maturation. When we know that the claim that dwarf isa individual is false is true, it follows that uniformity leads to fascism. So long as either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes, 'if uniformity leads to fascism, then the claim that either water boils if it is heated above a certain temperature or most domestic dogs show patterns has no merit' is true. Provided that if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands, we know that if uniformity leads to fascism, then the claim that either water boils if it is heated above a certain temperature or most domestic dogs show patterns has no merit. Either libation is an act of pouring drinks as offering to ancestors or if reproductive behaviour is difficult to observe as it usually takes place when it is totally dark, then prokaryotes live in habitats. On the condition that if reproductive behaviour is difficult to observe as it usually takes place when it is totally dark, then prokaryotes live in habitats, it is definitely the case that either either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes or if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands. Whenever it is true that libation is an act of pouring drinks as offering to ancestors, 'most cattle graze in fields' is true. Given that most cattle graze in fields, it can be inferred that either either finite populations induce metastability in evolutionary search or malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes or if diets are the root of all evil, then supersonic expansions provide a method of simplification of the fundamental and overtone bands.
|
We can assume that faith is the key to getting people free of demons.
|
Faith is the cure for our doubts and our fears.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then (Either [2] or [3].). [SC1-2]
If (Not [1].), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If (Not [1].), then (Either [2] or [3].).).), then [4].
Not [4].
Therefore, If (Not [1].), then (Either [2] or [3].)..
[SC2-2]
Hypothetical Syllogism:
If (Not [1].), then [5].
If [5], then (Not (Either [2] or [3].).). [SC2-3]
Therefore, If (Not [1].), then (Not (Either [2] or [3].).)..
[SC2-3]
Disjunction Elimination:
Either (Either [6] or [7].) or (If [8], then [9].). [SC1-4]
If (Either [6] or [7].), then (If [5], then (Not (Either [2] or [3].).).).
If (If [8], then [9].), then (If [5], then (Not (Either [2] or [3].).).).
Therefore, If [5], then (Not (Either [2] or [3].).)..
[SC1-4]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (Either (Either [6] or [7].) or (If [8], then [9].).). [SC2-5]
If (If [11], then [12].), then (Either (Either [6] or [7].) or (If [8], then [9].).).
Therefore, Either (Either [6] or [7].) or (If [8], then [9].)..
[SC2-5]
Hypothetical Syllogism:
If [10], then [13].
If [13], then (Either (Either [6] or [7].) or (If [8], then [9].).).
Therefore, If [10], then (Either (Either [6] or [7].) or (If [8], then [9].).)..
|
{0: 'Faith is the key to getting people free of demons.', 1: 'Dwarf isa individual.', 2: 'Water boils if it is heated above a certain temperature.', 3: 'Most domestic dogs show patterns.', 4: 'Some pathways regulate maturation.', 5: 'Uniformity leads to fascism.', 6: 'Finite populations induce metastability in evolutionary search.', 7: 'Malaria is a potentially fatal blood disease transmitted by parasite-carrying mosquitoes.', 8: 'Diets are the root of all evil.', 9: 'Supersonic expansions provide a method of simplification of the fundamental and overtone bands.', 10: 'Libation is an act of pouring drinks as offering to ancestors.', 11: 'Reproductive behaviour is difficult to observe as it usually takes place when it is totally dark.', 12: 'Prokaryotes live in habitats.', 13: 'Most cattle graze in fields.'}
| 7 |
6,522 |
['Given that insects possess esophagi, it can be inferred that prices typically rise in winter months when demand is higher.', 'Given that it is not true that either either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen or insects possess esophagi, it can be inferred that most meteors are only about the size of a grain of sand, and burn up completely in the atmosphere.', 'The claim that most meteors are only about the size of a grain of sand, and burn up completely in the atmosphere has no merit.', 'We know that either most affected dogs respond well to medication to make it easier to breathe or rotter isa person.', "So long as most affected dogs respond well to medication to make it easier to breathe, 'if either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen, then either catalogs provide important information or a bluffer is a slicker' is true.", "So long as rotter isa person, 'if either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen, then either catalogs provide important information or a bluffer is a slicker' is true.", "Whenever it is true that flaws are imperfections, 'if either catalogs provide important information or a bluffer is a slicker, then capacitance is the term used to define the ability to store electrical energy in conducting plates' is true.", 'We can assume that flaws are imperfections.', "So long as diversity begins with individuals, 'if either catalogs provide important information or a bluffer is a slicker, then the statement that 'capacitance is the term used to define the ability to store electrical energy in conducting plates' is incorrect' is true.", 'Those that suggest diversity begins with individuals are right.']
|
Given that insects possess esophagi, it can be inferred that prices typically rise in winter months when demand is higher. Given that it is not true that either either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen or insects possess esophagi, it can be inferred that most meteors are only about the size of a grain of sand, and burn up completely in the atmosphere. The claim that most meteors are only about the size of a grain of sand, and burn up completely in the atmosphere has no merit. We know that either most affected dogs respond well to medication to make it easier to breathe or rotter isa person. So long as most affected dogs respond well to medication to make it easier to breathe, 'if either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen, then either catalogs provide important information or a bluffer is a slicker' is true. So long as rotter isa person, 'if either coyotes have a long, bushy, black-tipped tail that is usually carried pointing down or light is that illuminates the film and is projected on a white screen, then either catalogs provide important information or a bluffer is a slicker' is true. Whenever it is true that flaws are imperfections, 'if either catalogs provide important information or a bluffer is a slicker, then capacitance is the term used to define the ability to store electrical energy in conducting plates' is true. We can assume that flaws are imperfections. So long as diversity begins with individuals, 'if either catalogs provide important information or a bluffer is a slicker, then the statement that 'capacitance is the term used to define the ability to store electrical energy in conducting plates' is incorrect' is true. Those that suggest diversity begins with individuals are right.
|
prices typically rise in winter months when demand is higher.
|
Prices typically rise in winter months when demand is higher.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [4] or [5].) or [6]. [SC1-2]
If (Either [4] or [5].), then (Either [1] or [2].). [SC2-2]
If [6], then [0].
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either (Either [4] or [5].) or [6].).), then [7].
Not [7].
Therefore, Either (Either [4] or [5].) or [6]..
[SC2-2]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Either [4] or [5].), then (Either [1] or [2].).).
If [11], then (If (Either [4] or [5].), then (Either [1] or [2].).).
Therefore, If (Either [4] or [5].), then (Either [1] or [2].)..
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3]. [SC1-2]
If (Either [1] or [2].), then (Not [3].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Modus Ponens:
If [9], then (If (Either [1] or [2].), then [3].).
[9]
Therefore, If (Either [1] or [2].), then [3]..
[SC2-2]
Modus Ponens:
If [8], then (If (Either [1] or [2].), then (Not [3].).).
[8]
Therefore, If (Either [1] or [2].), then (Not [3].)..
|
{0: 'Prices typically rise in winter months when demand is higher.', 1: 'Catalogs provide important information.', 2: 'A bluffer is a slicker.', 3: 'Capacitance is the term used to define the ability to store electrical energy in conducting plates.', 4: 'Coyotes have a long, bushy, black-tipped tail that is usually carried pointing down.', 5: 'Light is that illuminates the film and is projected on a white screen.', 6: 'Insects possess esophagi.', 7: 'Most meteors are only about the size of a grain of sand, and burn up completely in the atmosphere.', 8: 'Diversity begins with individuals.', 9: 'Flaws are imperfections.', 10: 'Most affected dogs respond well to medication to make it easier to breathe.', 11: 'Rotter isa person.'}
| 7 |
6,018 |
['Should it be the case that the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, it follows that the claim that resource use leads to the process of ecological competition does not correspond with reality.', 'One may reasonably assume that if atoms are much smaller than the wavelength of visible light, then either onion thrips cause blotches on onion leaves, and can be controlled with insecticidal soap or many factors influence susceptibility to stress.', 'atoms are much smaller than the wavelength of visible light.', 'One may reasonably assume that if it is a common misconception that if onion thrips cause blotches on onion leaves, and can be controlled with insecticidal soap, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition , then either america has (part) Princeton or sensory cells generate electrical signals in response to external stimuli.', 'It is not true that either america has (part) Princeton or sensory cells generate electrical signals in response to external stimuli.', 'The statement that states refs have (part) material bodies is right.', "When the claim that if refs have (part) material bodies, then if many factors influence susceptibility to stress, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition does not correspond with reality is true, it follows that the notion that 'either a pons is a neural structure or special access is a type of privileged access given to approved individuals' is untrue.", "So long as stress also plays a major role in the disease, 'if the claim that if refs have (part) material bodies, then if many factors influence susceptibility to stress, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition does not correspond with reality, then either a pons is a neural structure or special access is a type of privileged access given to approved individuals' is true.", 'It is the case that stress also plays a major role in the disease.']
|
Should it be the case that the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, it follows that the claim that resource use leads to the process of ecological competition does not correspond with reality. One may reasonably assume that if atoms are much smaller than the wavelength of visible light, then either onion thrips cause blotches on onion leaves, and can be controlled with insecticidal soap or many factors influence susceptibility to stress. atoms are much smaller than the wavelength of visible light. One may reasonably assume that if it is a common misconception that if onion thrips cause blotches on onion leaves, and can be controlled with insecticidal soap, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition , then either america has (part) Princeton or sensory cells generate electrical signals in response to external stimuli. It is not true that either america has (part) Princeton or sensory cells generate electrical signals in response to external stimuli. The statement that states refs have (part) material bodies is right. When the claim that if refs have (part) material bodies, then if many factors influence susceptibility to stress, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition does not correspond with reality is true, it follows that the notion that 'either a pons is a neural structure or special access is a type of privileged access given to approved individuals' is untrue. So long as stress also plays a major role in the disease, 'if the claim that if refs have (part) material bodies, then if many factors influence susceptibility to stress, then if the claim that climate refers to atmospheric changes that occur over decades and centuries does not reflect reality, then resource use leads to the process of ecological competition does not correspond with reality, then either a pons is a neural structure or special access is a type of privileged access given to approved individuals' is true. It is the case that stress also plays a major role in the disease.
|
It is true that climate refers to atmospheric changes that occur over decades and centuries.
|
Climate covers minimum and maximum temperatures for all four seasons.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then [1].). [SC2-2]
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [7], then (Either [2] or [3].).
[7]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC3-2]
Modus Ponens:
If [6], then (If [3], then (If (Not [0].), then [1].).). [SC1-3]
[6]
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then (If [3], then (If (Not [0].), then [1].).).).), then (Either [8] or [9].). [SC1-4]
If (Not (If [6], then (If [3], then (If (Not [0].), then [1].).).).), then (Not (Either [8] or [9].).).
Therefore, If [6], then (If [3], then (If (Not [0].), then [1].).)..
[SC1-4]
Modus Ponens:
If [10], then (If (Not (If [6], then (If [3], then (If (Not [0].), then [1].).).).), then (Either [8] or [9].).).
[10]
Therefore, If (Not (If [6], then (If [3], then (If (Not [0].), then [1].).).).), then (Either [8] or [9].)..
|
{0: 'Climate refers to atmospheric changes that occur over decades and centuries.', 1: 'Resource use leads to the process of ecological competition .', 2: 'Onion thrips cause blotches on onion leaves, and can be controlled with insecticidal soap.', 3: 'Many factors influence susceptibility to stress.', 4: 'America has (part) Princeton.', 5: 'Sensory cells generate electrical signals in response to external stimuli.', 6: 'Refs have (part) material bodies.', 7: 'Atoms are much smaller than the wavelength of visible light.', 8: 'A pons is a neural structure.', 9: 'Special access is a type of privileged access given to approved individuals.', 10: 'Stress also plays a major role in the disease.'}
| 7 |
6,425 |
['Assuming it is not true that most sharks prefer saltwaters, we know that the claim that prairies bloom from spring to fall does not correspond with reality.', 'Assuming the claim that if it is not true that most sharks prefer saltwaters, then prairies bloom from spring to fall is false, we know that heuristic is defined as enriched learning through problem-solving methods.', 'Should it be the case that heuristic is defined as enriched learning through problem-solving methods, it follows that either blisters then form and couple in a chain-like reaction or people can realize their sexual orientation at any point during their lives.', 'Either diuretics help in the removal of excess fluid through increased urination or the statement, either blisters then form and couple in a chain-like reaction or people can realize their sexual orientation at any point during their lives, does not hold.', "So long as diuretics help in the removal of excess fluid through increased urination, 'the statement that states net worth is determined by subtracting total liabilities from total assets is false' is true.", 'It is rational to believe that either either most plants produce flower buds or data structures are arrangements or if diuretics help in the removal of excess fluid through increased urination, then net worth is determined by subtracting total liabilities from total assets.', 'It is rational to believe that either rice blast is a major economic disease worldwide or some carnivores have spots.', 'Assuming rice blast is a major economic disease worldwide, we know that the claim that either most plants produce flower buds or data structures are arrangements is false.', 'Given that some carnivores have spots, it can be inferred that the claim that either most plants produce flower buds or data structures are arrangements is false.']
|
Assuming it is not true that most sharks prefer saltwaters, we know that the claim that prairies bloom from spring to fall does not correspond with reality. Assuming the claim that if it is not true that most sharks prefer saltwaters, then prairies bloom from spring to fall is false, we know that heuristic is defined as enriched learning through problem-solving methods. Should it be the case that heuristic is defined as enriched learning through problem-solving methods, it follows that either blisters then form and couple in a chain-like reaction or people can realize their sexual orientation at any point during their lives. Either diuretics help in the removal of excess fluid through increased urination or the statement, either blisters then form and couple in a chain-like reaction or people can realize their sexual orientation at any point during their lives, does not hold. So long as diuretics help in the removal of excess fluid through increased urination, 'the statement that states net worth is determined by subtracting total liabilities from total assets is false' is true. It is rational to believe that either either most plants produce flower buds or data structures are arrangements or if diuretics help in the removal of excess fluid through increased urination, then net worth is determined by subtracting total liabilities from total assets. It is rational to believe that either rice blast is a major economic disease worldwide or some carnivores have spots. Assuming rice blast is a major economic disease worldwide, we know that the claim that either most plants produce flower buds or data structures are arrangements is false. Given that some carnivores have spots, it can be inferred that the claim that either most plants produce flower buds or data structures are arrangements is false.
|
Many people rightly believe that most sharks prefer saltwaters.
|
Many people rightly believe that most sharks prefer saltwaters.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [4].
If [4], then (Either [2] or [3].).
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not (Either [2] or [3].).).
Not [5]. [SC2-3]
Therefore, Not (Either [2] or [3].)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [6]. [SC1-4]
If [5], then (Not [6].).
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If [5], then [6].).
Not (Either [7] or [8].). [SC2-5]
Therefore, If [5], then [6]..
[SC2-5]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not (Either [7] or [8].).).
If [10], then (Not (Either [7] or [8].).).
Therefore, Not (Either [7] or [8].)..
|
{0: 'Most sharks prefer saltwaters.', 1: 'Prairies bloom from spring to fall.', 2: 'Blisters then form and couple in a chain-like reaction.', 3: 'People can realize their sexual orientation at any point during their lives.', 4: 'Heuristic is defined as enriched learning through problem-solving methods.', 5: 'Diuretics help in the removal of excess fluid through increased urination.', 6: 'Net worth is determined by subtracting total liabilities from total assets.', 7: 'Most plants produce flower buds.', 8: 'Data structures are arrangements.', 9: 'Rice blast is a major economic disease worldwide.', 10: 'Some carnivores have spots.'}
| 7 |
6,527 |
['Given that spiritual love transcends physical love, it can be inferred that greasy spot is fungal disease that normally is found on citrus trees.', "One may reasonably assume that if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family.", "One may reasonably assume that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then the statement 'octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles' can be considered false.", 'We know that either antibiotics can save lives, used wrongly they can wreck lives or zinc oxide is used in medicine, paints, vulcanizing rubber and sunblock lotions.', 'One may reasonably assume that if antibiotics can save lives, used wrongly they can wreck lives, then it is a common misconception that hindu parents spend a lot of time teaching their children about their religion.', 'One may reasonably assume that if zinc oxide is used in medicine, paints, vulcanizing rubber and sunblock lotions, then it is a common misconception that hindu parents spend a lot of time teaching their children about their religion.', "Whenever it is true that the claim that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles does not correspond with reality, 'either cats are very clean animals that avoid foul-smelling and damp places or gravity is important in return of some blood to heart' is true.", "Either one or both of these statements are true: most dogs have legs, or if the claim that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles does not correspond with reality, then the statement that 'either cats are very clean animals that avoid foul-smelling and damp places or gravity is important in return of some blood to heart' is incorrect.", 'The statement, most dogs have legs, does not hold.']
|
Given that spiritual love transcends physical love, it can be inferred that greasy spot is fungal disease that normally is found on citrus trees. One may reasonably assume that if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family. One may reasonably assume that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then the statement 'octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles' can be considered false. We know that either antibiotics can save lives, used wrongly they can wreck lives or zinc oxide is used in medicine, paints, vulcanizing rubber and sunblock lotions. One may reasonably assume that if antibiotics can save lives, used wrongly they can wreck lives, then it is a common misconception that hindu parents spend a lot of time teaching their children about their religion. One may reasonably assume that if zinc oxide is used in medicine, paints, vulcanizing rubber and sunblock lotions, then it is a common misconception that hindu parents spend a lot of time teaching their children about their religion. Whenever it is true that the claim that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles does not correspond with reality, 'either cats are very clean animals that avoid foul-smelling and damp places or gravity is important in return of some blood to heart' is true. Either one or both of these statements are true: most dogs have legs, or if the claim that if the statement that 'either hindu parents spend a lot of time teaching their children about their religion or if the statement that 'if spiritual love transcends physical love, then it is not the case that greasy spot is fungal disease that normally is found on citrus trees' is incorrect, then we know that the claim that either interpersonal skills are vital to entrepreneurial success or genetic testing is feasible to identify the diseased gene in a family is false' is incorrect, then octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles does not correspond with reality, then the statement that 'either cats are very clean animals that avoid foul-smelling and damp places or gravity is important in return of some blood to heart' is incorrect. The statement, most dogs have legs, does not hold.
|
The notion that 'spiritual love transcends physical love' is untrue.
|
Those that suggest spiritual love is connectedness with the whole are wrong.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then (Either [2] or [3].).
If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5]. [SC1-4]
If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then (Not [5].).
Therefore, Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5].).), then (Either [8] or [9].).
If (Not (If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5].).), then (Not (Either [8] or [9].).). [SC2-5]
Therefore, If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5]..
[SC2-5]
Disjunctive Syllogism:
Either [10] or (If (Not (If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5].).), then (Not (Either [8] or [9].).).).
Not [10].
Therefore, If (Not (If (Not (Either [4] or (If (Not (If [0], then (Not [1].).).), then (Not (Either [2] or [3].).).).).), then [5].).), then (Not (Either [8] or [9].).)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [4].).
If [7], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Spiritual love transcends physical love.', 1: 'Greasy spot is fungal disease that normally is found on citrus trees.', 2: 'Interpersonal skills are vital to entrepreneurial success.', 3: 'Genetic testing is feasible to identify the diseased gene in a family.', 4: 'Hindu parents spend a lot of time teaching their children about their religion.', 5: 'Octopuses catch their prey in a similar way like other cephalopods, by help of their tentacles.', 6: 'Antibiotics can save lives, used wrongly they can wreck lives.', 7: 'Zinc oxide is used in medicine, paints, vulcanizing rubber and sunblock lotions.', 8: 'Cats are very clean animals that avoid foul-smelling and damp places.', 9: 'Gravity is important in return of some blood to heart.', 10: 'Most dogs have legs.'}
| 7 |
6,308 |
['It is rational to believe that either kids are located in toy stores or ferrets also sleep, hide from predators and raise their young in prairie dog burrows.', 'Either most spiders prey on larvae or most entrepreneurs have an informal network of people whom they lean on for information.', 'One may reasonably assume that if most spiders prey on larvae, then either wages increase with responsibility and experience or if women figure prominently in both the birth and resurrection narratives, then martial law is military law.', 'Given that most entrepreneurs have an informal network of people whom they lean on for information, it can be inferred that either wages increase with responsibility and experience or if women figure prominently in both the birth and resurrection narratives, then martial law is military law.', 'There is good reason to believe that either if cyclic nucleotides mediate an odor-evoked potassium conductance in lobster olfactory receptor cells, then most search engines use robotic software to create the abstract and to index registered sites or fires commonly move up hills because heat rises.', "On the condition that herbicides can accumulate in insects through bioaccumulation , it is definitely the case that if if women figure prominently in both the birth and resurrection narratives, then martial law is military law, then the statement that 'kids are located in toy stores' is incorrect.", 'It is the case that herbicides can accumulate in insects through bioaccumulation .', 'Given that if cyclic nucleotides mediate an odor-evoked potassium conductance in lobster olfactory receptor cells, then most search engines use robotic software to create the abstract and to index registered sites, it can be inferred that some countries favour a secret ballot so they can record a vote without pressure.', "Whenever it is true that some countries favour a secret ballot so they can record a vote without pressure, 'if wages increase with responsibility and experience, then the statement that 'kids are located in toy stores' is incorrect' is true.", "Given that most bears possess legs, it can be inferred that if fires commonly move up hills because heat rises, then if wages increase with responsibility and experience, then the statement that 'kids are located in toy stores' is incorrect.", 'Those that suggest most bears possess legs are right.']
|
It is rational to believe that either kids are located in toy stores or ferrets also sleep, hide from predators and raise their young in prairie dog burrows. Either most spiders prey on larvae or most entrepreneurs have an informal network of people whom they lean on for information. One may reasonably assume that if most spiders prey on larvae, then either wages increase with responsibility and experience or if women figure prominently in both the birth and resurrection narratives, then martial law is military law. Given that most entrepreneurs have an informal network of people whom they lean on for information, it can be inferred that either wages increase with responsibility and experience or if women figure prominently in both the birth and resurrection narratives, then martial law is military law. There is good reason to believe that either if cyclic nucleotides mediate an odor-evoked potassium conductance in lobster olfactory receptor cells, then most search engines use robotic software to create the abstract and to index registered sites or fires commonly move up hills because heat rises. On the condition that herbicides can accumulate in insects through bioaccumulation , it is definitely the case that if if women figure prominently in both the birth and resurrection narratives, then martial law is military law, then the statement that 'kids are located in toy stores' is incorrect. It is the case that herbicides can accumulate in insects through bioaccumulation . Given that if cyclic nucleotides mediate an odor-evoked potassium conductance in lobster olfactory receptor cells, then most search engines use robotic software to create the abstract and to index registered sites, it can be inferred that some countries favour a secret ballot so they can record a vote without pressure. Whenever it is true that some countries favour a secret ballot so they can record a vote without pressure, 'if wages increase with responsibility and experience, then the statement that 'kids are located in toy stores' is incorrect' is true. Given that most bears possess legs, it can be inferred that if fires commonly move up hills because heat rises, then if wages increase with responsibility and experience, then the statement that 'kids are located in toy stores' is incorrect. Those that suggest most bears possess legs are right.
|
It is rational to agree that ferrets also sleep, hide from predators and raise their young in prairie dog burrows.
|
It is rational to agree that ferrets also sleep, hide from predators and raise their young in prairie dog burrows.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-2]
If [2], then (Not [1].). [SC2-2]
If (If [3], then [4].), then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [2] or (If [3], then [4].).).
If [6], then (Either [2] or (If [3], then [4].).).
Therefore, Either [2] or (If [3], then [4].)..
[SC2-2]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If [2], then (Not [1].).). [SC2-3]
If [9], then (If [2], then (Not [1].).). [SC3-3]
Therefore, If [2], then (Not [1].)..
[SC2-3]
Hypothetical Syllogism:
If (If [7], then [8].), then [12].
If [12], then (If [2], then (Not [1].).).
Therefore, If (If [7], then [8].), then (If [2], then (Not [1].).)..
[SC3-3]
Modus Ponens:
If [11], then (If [9], then (If [2], then (Not [1].).).).
[11]
Therefore, If [9], then (If [2], then (Not [1].).)..
[SC3-2]
Modus Ponens:
If [10], then (If (If [3], then [4].), then (Not [1].).).
[10]
Therefore, If (If [3], then [4].), then (Not [1].)..
|
{0: 'Ferrets also sleep, hide from predators and raise their young in prairie dog burrows.', 1: 'Kids are located in toy stores.', 2: 'Wages increase with responsibility and experience.', 3: 'Women figure prominently in both the birth and resurrection narratives.', 4: 'Martial law is military law.', 5: 'Most spiders prey on larvae.', 6: 'Most entrepreneurs have an informal network of people whom they lean on for information.', 7: 'Cyclic nucleotides mediate an odor-evoked potassium conductance in lobster olfactory receptor cells.', 8: 'Most search engines use robotic software to create the abstract and to index registered sites.', 9: 'Fires commonly move up hills because heat rises.', 10: 'Herbicides can accumulate in insects through bioaccumulation .', 11: 'Most bears possess legs.', 12: 'Some countries favour a secret ballot so they can record a vote without pressure.'}
| 7 |
6,622 |
["Whenever it is true that it is not true that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees, 'religion is built upon faith' is true.", 'We know that at least one of two things is true: smokers spend more than that on cigarettes, or if it is not true that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees, then some people mistakenly believe that religion is built upon faith.', "Given that the statement that 'either some larvae enter skin or the statement that states smokers spend more than that on cigarettes is false' is incorrect, it can be inferred that the claim that anthozoans are all marine and are found all over the world, in various sizes and habitats is false.", 'Assuming some larvae enter skin, we know that mineral based oils break down in the presence of water.', 'One may reasonably assume that if some larvae enter skin, then the statement, mineral based oils break down in the presence of water, does not hold.', 'The statement that states time management is a key function of employee productivity is right.', 'If time management is a key function of employee productivity, then some factors influence parasite load.', "So long as some factors influence parasite load, 'if the statement that 'either some larvae enter skin or the statement that states smokers spend more than that on cigarettes is false' is incorrect, then anthozoans are all marine and are found all over the world, in various sizes and habitats' is true."]
|
Whenever it is true that it is not true that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees, 'religion is built upon faith' is true. We know that at least one of two things is true: smokers spend more than that on cigarettes, or if it is not true that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees, then some people mistakenly believe that religion is built upon faith. Given that the statement that 'either some larvae enter skin or the statement that states smokers spend more than that on cigarettes is false' is incorrect, it can be inferred that the claim that anthozoans are all marine and are found all over the world, in various sizes and habitats is false. Assuming some larvae enter skin, we know that mineral based oils break down in the presence of water. One may reasonably assume that if some larvae enter skin, then the statement, mineral based oils break down in the presence of water, does not hold. The statement that states time management is a key function of employee productivity is right. If time management is a key function of employee productivity, then some factors influence parasite load. So long as some factors influence parasite load, 'if the statement that 'either some larvae enter skin or the statement that states smokers spend more than that on cigarettes is false' is incorrect, then anthozoans are all marine and are found all over the world, in various sizes and habitats' is true.
|
We know that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees.
|
It is not true that either newcomer isa someone or set constraints are first-order logic formulas interpreted over the domain of sets of trees.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2].
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not (Either [0] or [1].).), then (Not [2].).).
Not [3]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [4] or (Not [3].).).), then [5]. [SC1-4]
If (Not (Either [4] or (Not [3].).).), then (Not [5].).
Therefore, Either [4] or (Not [3].)..
[SC1-4]
Modus Ponens:
If [7], then (If (Not (Either [4] or (Not [3].).).), then [5].). [SC1-5]
[7]
Therefore, If (Not (Either [4] or (Not [3].).).), then [5]..
[SC1-5]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If (Not (Either [4] or (Not [3].).).), then [5].).
Therefore, If [7], then (If (Not (Either [4] or (Not [3].).).), then [5].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'Newcomer isa someone.', 1: 'Set constraints are first-order logic formulas interpreted over the domain of sets of trees.', 2: 'Religion is built upon faith.', 3: 'Smokers spend more than that on cigarettes.', 4: 'Some larvae enter skin.', 5: 'Anthozoans are all marine and are found all over the world, in various sizes and habitats.', 6: 'Mineral based oils break down in the presence of water.', 7: 'Time management is a key function of employee productivity.', 8: 'Some factors influence parasite load.'}
| 7 |
6,794 |
["Provided that capital goods are goods which are necessary for producing other goods, we know that if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play.", "The statement 'if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception' can be considered false.", 'There is good reason to believe that either carbon dioxide passes out through the body surface as well as through the contractile vacuoles or either tap water is recommended for babies because it contains fluoride which bottled water lacks or some fat diets cause heart diseases.', 'Given that carbon dioxide passes out through the body surface as well as through the contractile vacuoles, it can be inferred that oestrogens can increase the number of proliferating cells in the human endometrium in vivo .', "We know that at least one of two things is true: energy is the product of thepower multiplied by theperiod of time the power isused, or if wives have (part) woman's bodies, then most horses has-part glands.", "When energy is the product of thepower multiplied by theperiod of time the power isused is true, it follows that if oestrogens can increase the number of proliferating cells in the human endometrium in vivo , then if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play.", "If if wives have (part) woman's bodies, then most horses has-part glands, then if oestrogens can increase the number of proliferating cells in the human endometrium in vivo , then if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play.", 'There is good reason to believe that either some medicine affects diets or if most squirrels bury nuts, then gas is a sign of vitality.', 'Assuming some medicine affects diets, we know that if either activities affect predators or most school systems exist as places for adult employment and adult political play, then if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception.', 'Assuming if most squirrels bury nuts, then gas is a sign of vitality, we know that if either activities affect predators or most school systems exist as places for adult employment and adult political play, then if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception.', "If the statement that 'if either tap water is recommended for babies because it contains fluoride which bottled water lacks or some fat diets cause heart diseases, then capital goods are goods which are necessary for producing other goods' is incorrect, then limestone acts as a flux and also combines with impurities to form slag.", 'The claim that limestone acts as a flux and also combines with impurities to form slag does not reflect reality.']
|
Provided that capital goods are goods which are necessary for producing other goods, we know that if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play. The statement 'if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception' can be considered false. There is good reason to believe that either carbon dioxide passes out through the body surface as well as through the contractile vacuoles or either tap water is recommended for babies because it contains fluoride which bottled water lacks or some fat diets cause heart diseases. Given that carbon dioxide passes out through the body surface as well as through the contractile vacuoles, it can be inferred that oestrogens can increase the number of proliferating cells in the human endometrium in vivo . We know that at least one of two things is true: energy is the product of thepower multiplied by theperiod of time the power isused, or if wives have (part) woman's bodies, then most horses has-part glands. When energy is the product of thepower multiplied by theperiod of time the power isused is true, it follows that if oestrogens can increase the number of proliferating cells in the human endometrium in vivo , then if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play. If if wives have (part) woman's bodies, then most horses has-part glands, then if oestrogens can increase the number of proliferating cells in the human endometrium in vivo , then if the notion that 'some organisms eat small zooplankton' is untrue, then either activities affect predators or most school systems exist as places for adult employment and adult political play. There is good reason to believe that either some medicine affects diets or if most squirrels bury nuts, then gas is a sign of vitality. Assuming some medicine affects diets, we know that if either activities affect predators or most school systems exist as places for adult employment and adult political play, then if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception. Assuming if most squirrels bury nuts, then gas is a sign of vitality, we know that if either activities affect predators or most school systems exist as places for adult employment and adult political play, then if plants also manufacture vitamin E which protects the fatty structures of the body, then pregnancy starts with conception. If the statement that 'if either tap water is recommended for babies because it contains fluoride which bottled water lacks or some fat diets cause heart diseases, then capital goods are goods which are necessary for producing other goods' is incorrect, then limestone acts as a flux and also combines with impurities to form slag. The claim that limestone acts as a flux and also combines with impurities to form slag does not reflect reality.
|
It is a simple truth that some organisms eat small zooplankton.
|
The statement 'some organisms eat small zooplankton' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [5] or [6]. [SC1-2]
If [5], then (If (Not [0].), then (Either [1] or [2].).). [SC2-2]
If [6], then (If (Not [0].), then (Either [1] or [2].).).
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Constructive Dilemma:
Either [7] or (Either [8] or [9].).
If [7], then [5].
If (Either [8] or [9].), then [6]. [SC3-3]
Therefore, Either [5] or [6]..
[SC3-3]
Modus Tonens:
If (Not (If (Either [8] or [9].), then [6].).), then [16].
Not [16].
Therefore, If (Either [8] or [9].), then [6]..
[SC2-2]
Disjunction Elimination:
Either [10] or (If [11], then [12].).
If [10], then (If [5], then (If (Not [0].), then (Either [1] or [2].).).).
If (If [11], then [12].), then (If [5], then (If (Not [0].), then (Either [1] or [2].).).).
Therefore, If [5], then (If (Not [0].), then (Either [1] or [2].).)..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunction Elimination:
Either [13] or (If [14], then [15].).
If [13], then (If (Either [1] or [2].), then (If [3], then [4].).).
If (If [14], then [15].), then (If (Either [1] or [2].), then (If [3], then [4].).).
Therefore, If (Either [1] or [2].), then (If [3], then [4].)..
|
{0: 'Some organisms eat small zooplankton.', 1: 'Activities affect predators.', 2: 'Most school systems exist as places for adult employment and adult political play.', 3: 'Plants also manufacture vitamin E which protects the fatty structures of the body.', 4: 'Pregnancy starts with conception.', 5: 'Oestrogens can increase the number of proliferating cells in the human endometrium in vivo .', 6: 'Capital goods are goods which are necessary for producing other goods.', 7: 'Carbon dioxide passes out through the body surface as well as through the contractile vacuoles.', 8: 'Tap water is recommended for babies because it contains fluoride which bottled water lacks.', 9: 'Some fat diets cause heart diseases.', 10: 'Energy is the product of thepower multiplied by theperiod of time the power isused.', 11: "Wives have (part) woman's bodies.", 12: 'Most horses has-part glands.', 13: 'Some medicine affects diets.', 14: 'Most squirrels bury nuts.', 15: 'Gas is a sign of vitality.', 16: 'Limestone acts as a flux and also combines with impurities to form slag.'}
| 7 |
6,062 |
['The claim that synthesize proteins require energy has no merit.', "So long as the statement 'if science continues to show that the mind and body are connected, then palladium has little environmental impact' can be considered false, 'ingredient contains a carbon atom double bonded to oxygen, e.g., carboxylic acid, etc' is true.", 'The claim that ingredient contains a carbon atom double bonded to oxygen, e.g., carboxylic acid, etc does not reflect reality.', 'We know that either climate affects taxonomic similarity of regions, but only partly or foyers are located in homes.', "So long as climate affects taxonomic similarity of regions, but only partly, 'if blind dolphins communicate on wavelength that are yet to be discovered and interpreted, then palladium has little environmental impact' is true.", 'Once we know foyers are located in homes, we also know that if blind dolphins communicate on wavelength that are yet to be discovered and interpreted, then palladium has little environmental impact.', 'Given that it is not the case that either a golden willow is a willow or if the statement that states either science continues to show that the mind and body are connected or blind dolphins communicate on wavelength that are yet to be discovered and interpreted is false, then synthesize proteins require energy, it can be inferred that interest groups attempt to influence policy by supplying public officials with things they want.', 'Given that it is not the case that either a golden willow is a willow or if the statement that states either science continues to show that the mind and body are connected or blind dolphins communicate on wavelength that are yet to be discovered and interpreted is false, then synthesize proteins require energy, it can be inferred that it is not true that interest groups attempt to influence policy by supplying public officials with things they want.', 'Either stomatopods are widely-used as an effective way to measure the health of coral reefs or nymphs often catch fish when nothing else does.', 'Given that stomatopods are widely-used as an effective way to measure the health of coral reefs , it can be inferred that it is not true that a golden willow is a willow.', "Whenever it is true that nymphs often catch fish when nothing else does, 'it is not true that a golden willow is a willow' is true."]
|
The claim that synthesize proteins require energy has no merit. So long as the statement 'if science continues to show that the mind and body are connected, then palladium has little environmental impact' can be considered false, 'ingredient contains a carbon atom double bonded to oxygen, e.g., carboxylic acid, etc' is true. The claim that ingredient contains a carbon atom double bonded to oxygen, e.g., carboxylic acid, etc does not reflect reality. We know that either climate affects taxonomic similarity of regions, but only partly or foyers are located in homes. So long as climate affects taxonomic similarity of regions, but only partly, 'if blind dolphins communicate on wavelength that are yet to be discovered and interpreted, then palladium has little environmental impact' is true. Once we know foyers are located in homes, we also know that if blind dolphins communicate on wavelength that are yet to be discovered and interpreted, then palladium has little environmental impact. Given that it is not the case that either a golden willow is a willow or if the statement that states either science continues to show that the mind and body are connected or blind dolphins communicate on wavelength that are yet to be discovered and interpreted is false, then synthesize proteins require energy, it can be inferred that interest groups attempt to influence policy by supplying public officials with things they want. Given that it is not the case that either a golden willow is a willow or if the statement that states either science continues to show that the mind and body are connected or blind dolphins communicate on wavelength that are yet to be discovered and interpreted is false, then synthesize proteins require energy, it can be inferred that it is not true that interest groups attempt to influence policy by supplying public officials with things they want. Either stomatopods are widely-used as an effective way to measure the health of coral reefs or nymphs often catch fish when nothing else does. Given that stomatopods are widely-used as an effective way to measure the health of coral reefs , it can be inferred that it is not true that a golden willow is a willow. Whenever it is true that nymphs often catch fish when nothing else does, 'it is not true that a golden willow is a willow' is true.
|
Those that suggest palladium has little environmental impact are right.
|
It is not true that palladium has little environmental impact.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [4]. [SC1-2]
Not [4].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [1] or [2].).), then [4].). [SC1-3]
Not [7]. [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [7] or (If (Not (Either [1] or [2].).), then [4].).).), then [10].
If (Not (Either [7] or (If (Not (Either [1] or [2].).), then [4].).).), then (Not [10].).
Therefore, Either [7] or (If (Not (Either [1] or [2].).), then [4].)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Not [7].).
If [9], then (Not [7].).
Therefore, Not [7]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [3].
Not [3].
Therefore, If [1], then [0]..
[SC3-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then [0].).
If [6], then (If [2], then [0].).
Therefore, If [2], then [0]..
|
{0: 'Palladium has little environmental impact.', 1: 'Science continues to show that the mind and body are connected.', 2: 'Blind dolphins communicate on wavelength that are yet to be discovered and interpreted.', 3: 'Ingredient contains a carbon atom double bonded to oxygen, e.g., carboxylic acid, etc.', 4: 'Synthesize proteins require energy.', 5: 'Climate affects taxonomic similarity of regions, but only partly.', 6: 'Foyers are located in homes.', 7: 'A golden willow is a willow.', 8: 'Stomatopods are widely-used as an effective way to measure the health of coral reefs .', 9: 'Nymphs often catch fish when nothing else does.', 10: 'Interest groups attempt to influence policy by supplying public officials with things they want.'}
| 7 |
6,079 |
['It is a fact that either eukaryotic cells have a nucleus and membrane-bound organelles or those that suggest some apes hide in forests are wrong.', 'It is not true that eukaryotic cells have a nucleus and membrane-bound organelles.', "Whenever it is true that either lizards shed skin or email is also a very useful mechanism for electronically sending and receiving computer files, 'if either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age, then either some apes hide in forests or the notion that 'folic acid appears to be a key compound in human nutrition' is untrue' is true.", 'It is a fact that either lizards shed skin or email is also a very useful mechanism for electronically sending and receiving computer files.', 'If barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients.', "So long as either some farmers shoot animals or sunburn is also possible in winter, when the snow reflects sunlight, 'if if barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients, then either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age' is true.", 'Should it be the case that people lose weight at different rates, it follows that if if barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients, then either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age.', 'If toasting is a cooking, then either either some farmers shoot animals or sunburn is also possible in winter, when the snow reflects sunlight or people lose weight at different rates.', 'toasting is a cooking.']
|
It is a fact that either eukaryotic cells have a nucleus and membrane-bound organelles or those that suggest some apes hide in forests are wrong. It is not true that eukaryotic cells have a nucleus and membrane-bound organelles. Whenever it is true that either lizards shed skin or email is also a very useful mechanism for electronically sending and receiving computer files, 'if either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age, then either some apes hide in forests or the notion that 'folic acid appears to be a key compound in human nutrition' is untrue' is true. It is a fact that either lizards shed skin or email is also a very useful mechanism for electronically sending and receiving computer files. If barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients. So long as either some farmers shoot animals or sunburn is also possible in winter, when the snow reflects sunlight, 'if if barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients, then either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age' is true. Should it be the case that people lose weight at different rates, it follows that if if barracks have (part) ceilings, then bananas are rich in vitamins, minerals, and other nutrients, then either libertarians believe in the American heritage of liberty, patriotism, and personal responsibility or chronic disease tends to burn out with age. If toasting is a cooking, then either either some farmers shoot animals or sunburn is also possible in winter, when the snow reflects sunlight or people lose weight at different rates. toasting is a cooking.
|
The notion that 'folic acid appears to be a key compound in human nutrition' is untrue.
|
The notion that 'folic acid appears to be a key compound in human nutrition' is untrue.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (Either [1] or (Not [0].).). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Modus Ponens:
If (Either [7] or [8].), then (If (Either [2] or [3].), then (Either [1] or (Not [0].).).).
Either [7] or [8].
Therefore, If (Either [2] or [3].), then (Either [1] or (Not [0].).)..
[SC2-2]
Modus Ponens:
If (If [5], then [6].), then (Either [2] or [3].). [SC1-3]
If [5], then [6].
Therefore, Either [2] or [3]..
[SC1-3]
Disjunction Elimination:
Either (Either [9] or [10].) or [11]. [SC1-4]
If (Either [9] or [10].), then (If (If [5], then [6].), then (Either [2] or [3].).).
If [11], then (If (If [5], then [6].), then (Either [2] or [3].).).
Therefore, If (If [5], then [6].), then (Either [2] or [3].)..
[SC1-4]
Modus Ponens:
If [12], then (Either (Either [9] or [10].) or [11].).
[12]
Therefore, Either (Either [9] or [10].) or [11]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4].
Therefore, Not [1]..
|
{0: 'Folic acid appears to be a key compound in human nutrition.', 1: 'Some apes hide in forests.', 2: 'Libertarians believe in the American heritage of liberty, patriotism, and personal responsibility.', 3: 'Chronic disease tends to burn out with age.', 4: 'Eukaryotic cells have a nucleus and membrane-bound organelles.', 5: 'Barracks have (part) ceilings.', 6: 'Bananas are rich in vitamins, minerals, and other nutrients.', 7: 'Lizards shed skin.', 8: 'Email is also a very useful mechanism for electronically sending and receiving computer files.', 9: 'Some farmers shoot animals.', 10: 'Sunburn is also possible in winter, when the snow reflects sunlight.', 11: 'People lose weight at different rates.', 12: 'Toasting is a cooking.'}
| 7 |
6,680 |
["On the condition that the claim that either material cost is defined as vendor's invoiced cost plus tax or swedes appear to be fluent in English and seem to be happy to speak it does not correspond with reality, it is definitely the case that many native wildflowers provide food, shelter, and cover for bird species.", 'The claim that many native wildflowers provide food, shelter, and cover for bird species does not correspond with reality.', "Should it be the case that material cost is defined as vendor's invoiced cost plus tax, it follows that it is not true that either most insects destroy pot plants or some zebras live on savanna.", "Either some children have birth certificates or if material cost is defined as vendor's invoiced cost plus tax, then either most insects destroy pot plants or some zebras live on savanna.", 'Should it be the case that charter schools are independently-operated public schools, it follows that the claim that some children have birth certificates does not correspond with reality.', 'Assuming flower buds are less hardy than the leaf buds, we know that the claim that some children have birth certificates does not correspond with reality.', 'It is rational to believe that either energy is stored in the form of electrical field or either charter schools are independently-operated public schools or flower buds are less hardy than the leaf buds.', "Whenever it is true that energy is stored in the form of electrical field, 'germs can easily get into the uterus from other parts of the body' is true.", 'If energy is stored in the form of electrical field, then it is a common misconception that germs can easily get into the uterus from other parts of the body.']
|
On the condition that the claim that either material cost is defined as vendor's invoiced cost plus tax or swedes appear to be fluent in English and seem to be happy to speak it does not correspond with reality, it is definitely the case that many native wildflowers provide food, shelter, and cover for bird species. The claim that many native wildflowers provide food, shelter, and cover for bird species does not correspond with reality. Should it be the case that material cost is defined as vendor's invoiced cost plus tax, it follows that it is not true that either most insects destroy pot plants or some zebras live on savanna. Either some children have birth certificates or if material cost is defined as vendor's invoiced cost plus tax, then either most insects destroy pot plants or some zebras live on savanna. Should it be the case that charter schools are independently-operated public schools, it follows that the claim that some children have birth certificates does not correspond with reality. Assuming flower buds are less hardy than the leaf buds, we know that the claim that some children have birth certificates does not correspond with reality. It is rational to believe that either energy is stored in the form of electrical field or either charter schools are independently-operated public schools or flower buds are less hardy than the leaf buds. Whenever it is true that energy is stored in the form of electrical field, 'germs can easily get into the uterus from other parts of the body' is true. If energy is stored in the form of electrical field, then it is a common misconception that germs can easily get into the uterus from other parts of the body.
|
It is fair to say that swedes appear to be fluent in English and seem to be happy to speak it.
|
The statement 'swedes appear to be fluent in English and seem to be happy to speak it' can be considered false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2].
Therefore, Either [1] or [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [3] or [4].). [SC1-2]
If [1], then (Not (Either [3] or [4].).).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Either [3] or [4].).).
Not [5]. [SC2-3]
Therefore, If [1], then (Either [3] or [4].)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7]. [SC1-4]
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (Either [6] or [7].).
Not [8]. [SC2-5]
Therefore, Either [6] or [7]..
[SC2-5]
Reductio Ad Absurdum:
If [8], then [9].
If [8], then (Not [9].).
Therefore, Not [8]..
|
{0: 'Swedes appear to be fluent in English and seem to be happy to speak it.', 1: "Material cost is defined as vendor's invoiced cost plus tax.", 2: 'Many native wildflowers provide food, shelter, and cover for bird species.', 3: 'Most insects destroy pot plants.', 4: 'Some zebras live on savanna.', 5: 'Some children have birth certificates.', 6: 'Charter schools are independently-operated public schools.', 7: 'Flower buds are less hardy than the leaf buds.', 8: 'Energy is stored in the form of electrical field.', 9: 'Germs can easily get into the uterus from other parts of the body.'}
| 7 |
6,193 |
['It is not the case that a particle beam is a beam.', 'It is not true that tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants.', 'When either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms is true, it follows that rent are leases.', "So long as ferrets require daily interaction with people, and a chance to explore and exercise, 'those that suggest rent are leases are wrong' is true.", 'It is reasonable to believe that ferrets require daily interaction with people, and a chance to explore and exercise.', 'It is rational to believe that either most organisms have female organs or a vortex is a round shape.', 'Provided that a vortex is a round shape, we know that if the claim that either tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants or if the claim that gastrointestinal problems associated with gluten are rare in dogs does not correspond with reality, then a particle beam is a beam is false, then either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms.', 'Once we know the statement that states if most organisms have female organs, then if the claim that either tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants or if the claim that gastrointestinal problems associated with gluten are rare in dogs does not correspond with reality, then a particle beam is a beam is false, then either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms is false, we also know that xenon is used in medicine as a general anesthetic and in medical imaging.', 'Some people mistakenly believe that xenon is used in medicine as a general anesthetic and in medical imaging.']
|
It is not the case that a particle beam is a beam. It is not true that tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants. When either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms is true, it follows that rent are leases. So long as ferrets require daily interaction with people, and a chance to explore and exercise, 'those that suggest rent are leases are wrong' is true. It is reasonable to believe that ferrets require daily interaction with people, and a chance to explore and exercise. It is rational to believe that either most organisms have female organs or a vortex is a round shape. Provided that a vortex is a round shape, we know that if the claim that either tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants or if the claim that gastrointestinal problems associated with gluten are rare in dogs does not correspond with reality, then a particle beam is a beam is false, then either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms. Once we know the statement that states if most organisms have female organs, then if the claim that either tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants or if the claim that gastrointestinal problems associated with gluten are rare in dogs does not correspond with reality, then a particle beam is a beam is false, then either gastropods are the most common members of a group of animals called mollusks or some mycotoxins directly inhibit the growth of micro-organisms is false, we also know that xenon is used in medicine as a general anesthetic and in medical imaging. Some people mistakenly believe that xenon is used in medicine as a general anesthetic and in medical imaging.
|
The claim that gastrointestinal problems associated with gluten are rare in dogs holds true.
|
The claim that gastrointestinal problems associated with gluten are rare in dogs holds true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].). [SC1-4]
If (Either [5] or [6].), then [3].
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then [3]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].).). [SC2-5]
If [8], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].).).
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].)..
[SC2-5]
Modus Tonens:
If (Not (If [7], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].).).).), then [9].
Not [9].
Therefore, If [7], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Either [5] or [6].).)..
[SC2-3]
Modus Ponens:
If [4], then (Not [3].).
[4]
Therefore, Not [3]..
|
{0: 'Gastrointestinal problems associated with gluten are rare in dogs.', 1: 'A particle beam is a beam.', 2: 'Tracheids are the chief water-conducting elements in gymnosperms and seedless vascular plants.', 3: 'Rent are leases.', 4: 'Ferrets require daily interaction with people, and a chance to explore and exercise.', 5: 'Gastropods are the most common members of a group of animals called mollusks.', 6: 'Some mycotoxins directly inhibit the growth of micro-organisms.', 7: 'Most organisms have female organs.', 8: 'A vortex is a round shape.', 9: 'Xenon is used in medicine as a general anesthetic and in medical imaging.'}
| 7 |
6,750 |
['Assuming the statement that states either if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture or eggs develop into immature worms, travel through the arteries, and are transported to muscles is false, we know that chemical safety is an area of science education that needs to be attended to vigilantly.', "When the statement that states either if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture or eggs develop into immature worms, travel through the arteries, and are transported to muscles is false is true, it follows that the statement 'chemical safety is an area of science education that needs to be attended to vigilantly' can be considered false.", 'Either fish is low in saturated fats and cholesterol or insecurity sometimes can cause a child to withdraw or behave aggressively.', 'Assuming insecurity sometimes can cause a child to withdraw or behave aggressively, we know that if if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture, then male alligators are larger than female alligators.', 'We know that the claim that vector algebra is used in the analysis is false.', 'Given that fish is low in saturated fats and cholesterol, it can be inferred that chaffinchs have (part) rib cages.', 'Assuming chaffinchs have (part) rib cages, we know that if if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture, then male alligators are larger than female alligators.', 'Provided that beans can tolerate a great deal of leaf damage and still yield well, we know that vector algebra is used in the analysis.', 'Given that the claim that if eggs develop into immature worms, travel through the arteries, and are transported to muscles, then tendons grow taut, then slack does not reflect reality, it can be inferred that caterpillars have eyespots.', 'Provided that caterpillars have eyespots, we know that beans can tolerate a great deal of leaf damage and still yield well.']
|
Assuming the statement that states either if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture or eggs develop into immature worms, travel through the arteries, and are transported to muscles is false, we know that chemical safety is an area of science education that needs to be attended to vigilantly. When the statement that states either if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture or eggs develop into immature worms, travel through the arteries, and are transported to muscles is false is true, it follows that the statement 'chemical safety is an area of science education that needs to be attended to vigilantly' can be considered false. Either fish is low in saturated fats and cholesterol or insecurity sometimes can cause a child to withdraw or behave aggressively. Assuming insecurity sometimes can cause a child to withdraw or behave aggressively, we know that if if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture, then male alligators are larger than female alligators. We know that the claim that vector algebra is used in the analysis is false. Given that fish is low in saturated fats and cholesterol, it can be inferred that chaffinchs have (part) rib cages. Assuming chaffinchs have (part) rib cages, we know that if if wood pulp is another popular fiber in paper manufacture, then horizons are defined in most cases by obvious physical features, chiefly colour and texture, then male alligators are larger than female alligators. Provided that beans can tolerate a great deal of leaf damage and still yield well, we know that vector algebra is used in the analysis. Given that the claim that if eggs develop into immature worms, travel through the arteries, and are transported to muscles, then tendons grow taut, then slack does not reflect reality, it can be inferred that caterpillars have eyespots. Provided that caterpillars have eyespots, we know that beans can tolerate a great deal of leaf damage and still yield well.
|
It is rational to believe that either male alligators are larger than female alligators or tendons grow taut, then slack.
|
It is rational to believe that either male alligators are larger than female alligators or tendons grow taut, then slack.
|
TRUE
|
Constructive Dilemma:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then [0]. [SC2-1]
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [2], then [3].) or [4].).), then [6].
If (Not (Either (If [2], then [3].) or [4].).), then (Not [6].).
Therefore, Either (If [2], then [3].) or [4]..
[SC2-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [2], then [3].), then [0].). [SC2-2]
If [8], then (If (If [2], then [3].), then [0].).
Therefore, If (If [2], then [3].), then [0]..
[SC2-2]
Hypothetical Syllogism:
If [7], then [9].
If [9], then (If (If [2], then [3].), then [0].).
Therefore, If [7], then (If (If [2], then [3].), then [0].)..
[SC3-1]
Modus Tonens:
If (Not (If [4], then [1].).), then [5]. [SC1-2]
Not [5].
Therefore, If [4], then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [4], then [1].).), then [10]. [SC1-3]
If [10], then [5].
Therefore, If (Not (If [4], then [1].).), then [5]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [4], then [1].).), then [11].
If [11], then [10].
Therefore, If (Not (If [4], then [1].).), then [10]..
|
{0: 'Male alligators are larger than female alligators.', 1: 'Tendons grow taut, then slack.', 2: 'Wood pulp is another popular fiber in paper manufacture.', 3: 'Horizons are defined in most cases by obvious physical features, chiefly colour and texture.', 4: 'Eggs develop into immature worms, travel through the arteries, and are transported to muscles.', 5: 'Vector algebra is used in the analysis.', 6: 'Chemical safety is an area of science education that needs to be attended to vigilantly.', 7: 'Fish is low in saturated fats and cholesterol.', 8: 'Insecurity sometimes can cause a child to withdraw or behave aggressively.', 9: 'Chaffinchs have (part) rib cages.', 10: 'Beans can tolerate a great deal of leaf damage and still yield well.', 11: 'Caterpillars have eyespots.'}
| 7 |
6,181 |
['Some people mistakenly believe that trees also hold water with their vast root systems, by creating air pockets deep in the soil.', "It is a fact that either bones also protect the delicate internal organs of the body or the statement 'some rabbits provide burrows' can be considered false.", 'Those that suggest bones also protect the delicate internal organs of the body are wrong.', "One may reasonably assume that if people are vulnerable to despots whenever there is a large movement of wealth between social strata, then if the notion that 'either some rabbits provide burrows or traffic trends The growth in motor traffic on Britain's roads has slowed in recent years' is untrue, then trees also hold water with their vast root systems, by creating air pockets deep in the soil.", 'On the condition that the statement, people are vulnerable to despots whenever there is a large movement of wealth between social strata, does not hold, it is definitely the case that some people are allergic to antibiotics, especially the penicillins and the sulfa drugs.', "Whenever it is true that some people are allergic to antibiotics, especially the penicillins and the sulfa drugs, 'teaching is defined as the impartation of truth to the mind' is true.", 'Should it be the case that cholesterol accumulates in livers, it follows that the claim that teaching is defined as the impartation of truth to the mind does not correspond with reality.', 'The claim that cholesterol accumulates in livers holds true.']
|
Some people mistakenly believe that trees also hold water with their vast root systems, by creating air pockets deep in the soil. It is a fact that either bones also protect the delicate internal organs of the body or the statement 'some rabbits provide burrows' can be considered false. Those that suggest bones also protect the delicate internal organs of the body are wrong. One may reasonably assume that if people are vulnerable to despots whenever there is a large movement of wealth between social strata, then if the notion that 'either some rabbits provide burrows or traffic trends The growth in motor traffic on Britain's roads has slowed in recent years' is untrue, then trees also hold water with their vast root systems, by creating air pockets deep in the soil. On the condition that the statement, people are vulnerable to despots whenever there is a large movement of wealth between social strata, does not hold, it is definitely the case that some people are allergic to antibiotics, especially the penicillins and the sulfa drugs. Whenever it is true that some people are allergic to antibiotics, especially the penicillins and the sulfa drugs, 'teaching is defined as the impartation of truth to the mind' is true. Should it be the case that cholesterol accumulates in livers, it follows that the claim that teaching is defined as the impartation of truth to the mind does not correspond with reality. The claim that cholesterol accumulates in livers holds true.
|
Many people rightly believe that traffic trends The growth in motor traffic on Britain's roads has slowed in recent years.
|
Many people rightly believe that traffic trends The growth in motor traffic on Britain's roads has slowed in recent years.
|
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]. [SC1-2]
Not [3].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (Either [1] or [0].).), then [3].).
[4] [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [3]..
[SC2-3]
Modus Tonens:
If (Not [4].), then [5]. [SC1-4]
Not [5]. [SC2-4]
Therefore, [4].
[SC1-4]
Hypothetical Syllogism:
If (Not [4].), then [6].
If [6], then [5].
Therefore, If (Not [4].), then [5]..
[SC2-4]
Modus Ponens:
If [7], then (Not [5].).
[7]
Therefore, Not [5]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2].
Therefore, Not [1]..
|
{0: "Traffic trends The growth in motor traffic on Britain's roads has slowed in recent years.", 1: 'Some rabbits provide burrows.', 2: 'Bones also protect the delicate internal organs of the body.', 3: 'Trees also hold water with their vast root systems, by creating air pockets deep in the soil.', 4: 'People are vulnerable to despots whenever there is a large movement of wealth between social strata.', 5: 'Teaching is defined as the impartation of truth to the mind.', 6: 'Some people are allergic to antibiotics, especially the penicillins and the sulfa drugs.', 7: 'Cholesterol accumulates in livers.'}
| 7 |
6,535 |
['It is not true that disposals are kitchen appliances.', "Whenever it is true that the claim that several laws govern accessibility of websites is false, 'evaporation depends on availability' is true.", 'When faith is trust internalized is true, it follows that if evaporation depends on availability, then disposals are kitchen appliances.', 'Given that either most people are more afraid of dying alone than they are of death itself or aerosols also have an important relationship to ozone, it can be inferred that if evaporation depends on availability, then disposals are kitchen appliances.', 'One may reasonably assume that if female newts are very difficult to identify, then faith is trust internalized.', 'If most proteins reduce excretion, then either most people are more afraid of dying alone than they are of death itself or aerosols also have an important relationship to ozone.', 'On the condition that passengers are located in airports, it is definitely the case that either female newts are very difficult to identify or most proteins reduce excretion.', 'Either one or both of these statements are true: high magnesium intake has calm effects, or if algae contain the green pigment chlorophyll which absorbs and converts sunlight into energy, then pharmacology includes the study of how drugs work at molecular and cellular levels.', 'Given that high magnesium intake has calm effects, it can be inferred that either passengers are located in airports or moat isa trench.', 'Should it be the case that if algae contain the green pigment chlorophyll which absorbs and converts sunlight into energy, then pharmacology includes the study of how drugs work at molecular and cellular levels, it follows that either passengers are located in airports or moat isa trench.', 'We know that either if gauges indicate the level and stability of vacuum found in the manifold and vacuum reservoir, then clinical chemistry uses chemical processes to measure levels of chemical components in the blood or if dirty water is a host for disease organisms, then rip currents are sometimes narrow channels of water that flow out to sea.', 'When if gauges indicate the level and stability of vacuum found in the manifold and vacuum reservoir, then clinical chemistry uses chemical processes to measure levels of chemical components in the blood is true, it follows that if moat isa trench, then either female newts are very difficult to identify or most proteins reduce excretion.', "So long as if dirty water is a host for disease organisms, then rip currents are sometimes narrow channels of water that flow out to sea, 'if moat isa trench, then either female newts are very difficult to identify or most proteins reduce excretion' is true."]
|
It is not true that disposals are kitchen appliances. Whenever it is true that the claim that several laws govern accessibility of websites is false, 'evaporation depends on availability' is true. When faith is trust internalized is true, it follows that if evaporation depends on availability, then disposals are kitchen appliances. Given that either most people are more afraid of dying alone than they are of death itself or aerosols also have an important relationship to ozone, it can be inferred that if evaporation depends on availability, then disposals are kitchen appliances. One may reasonably assume that if female newts are very difficult to identify, then faith is trust internalized. If most proteins reduce excretion, then either most people are more afraid of dying alone than they are of death itself or aerosols also have an important relationship to ozone. On the condition that passengers are located in airports, it is definitely the case that either female newts are very difficult to identify or most proteins reduce excretion. Either one or both of these statements are true: high magnesium intake has calm effects, or if algae contain the green pigment chlorophyll which absorbs and converts sunlight into energy, then pharmacology includes the study of how drugs work at molecular and cellular levels. Given that high magnesium intake has calm effects, it can be inferred that either passengers are located in airports or moat isa trench. Should it be the case that if algae contain the green pigment chlorophyll which absorbs and converts sunlight into energy, then pharmacology includes the study of how drugs work at molecular and cellular levels, it follows that either passengers are located in airports or moat isa trench. We know that either if gauges indicate the level and stability of vacuum found in the manifold and vacuum reservoir, then clinical chemistry uses chemical processes to measure levels of chemical components in the blood or if dirty water is a host for disease organisms, then rip currents are sometimes narrow channels of water that flow out to sea. When if gauges indicate the level and stability of vacuum found in the manifold and vacuum reservoir, then clinical chemistry uses chemical processes to measure levels of chemical components in the blood is true, it follows that if moat isa trench, then either female newts are very difficult to identify or most proteins reduce excretion. So long as if dirty water is a host for disease organisms, then rip currents are sometimes narrow channels of water that flow out to sea, 'if moat isa trench, then either female newts are very difficult to identify or most proteins reduce excretion' is true.
|
It is the case that several laws govern accessibility of websites.
|
Several laws help protect the environment from damage by human activities.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [3] or (Either [4] or [5].). [SC1-3]
If [3], then (If [2], then [1].).
If (Either [4] or [5].), then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC1-3]
Constructive Dilemma:
Either [6] or [7]. [SC1-4]
If [6], then [3].
If [7], then (Either [4] or [5].).
Therefore, Either [3] or (Either [4] or [5].)..
[SC1-4]
Disjunction Elimination:
Either [8] or [9]. [SC1-5]
If [8], then (Either [6] or [7].).
If [9], then (Either [6] or [7].). [SC3-5]
Therefore, Either [6] or [7]..
[SC1-5]
Disjunction Elimination:
Either [14] or (If [15], then [16].).
If [14], then (Either [8] or [9].).
If (If [15], then [16].), then (Either [8] or [9].).
Therefore, Either [8] or [9]..
[SC3-5]
Disjunction Elimination:
Either (If [10], then [11].) or (If [12], then [13].).
If (If [10], then [11].), then (If [9], then (Either [6] or [7].).).
If (If [12], then [13].), then (If [9], then (Either [6] or [7].).).
Therefore, If [9], then (Either [6] or [7].)..
|
{0: 'Several laws govern accessibility of websites.', 1: 'Disposals are kitchen appliances.', 2: 'Evaporation depends on availability.', 3: 'Faith is trust internalized.', 4: 'Most people are more afraid of dying alone than they are of death itself.', 5: 'Aerosols also have an important relationship to ozone.', 6: 'Female newts are very difficult to identify.', 7: 'Most proteins reduce excretion.', 8: 'Passengers are located in airports.', 9: 'Moat isa trench.', 10: 'Gauges indicate the level and stability of vacuum found in the manifold and vacuum reservoir.', 11: 'Clinical chemistry uses chemical processes to measure levels of chemical components in the blood.', 12: 'Dirty water is a host for disease organisms.', 13: 'Rip currents are sometimes narrow channels of water that flow out to sea.', 14: 'High magnesium intake has calm effects.', 15: 'Algae contain the green pigment chlorophyll which absorbs and converts sunlight into energy.', 16: 'Pharmacology includes the study of how drugs work at molecular and cellular levels.'}
| 7 |
6,484 |
['When dry hands can wipe off the protective slime that covers some amphibians is true, it follows that if it is not true that if the statement, cleavage is a series of mitotlc cell divisions that transform the zygote into a blastula, does not hold, then easter is also the third holiday associated most with spending time as a family, then if most industries lack necessary air filtration systems for collection of dust and particulate, then some mice live in containers.', 'The claim that dry hands can wipe off the protective slime that covers some amphibians is true.', "Given that bats are especially important pollinators in the tropics, it can be inferred that the notion that 'if most industries lack necessary air filtration systems for collection of dust and particulate, then some mice live in containers' is untrue.", 'It is fair to say that bats are especially important pollinators in the tropics.', 'We know that either gyroscopes resist attempts to change the angular position of the axis of the spin or either methods have aspects or most plants grow in moist places.', 'When gyroscopes resist attempts to change the angular position of the axis of the spin is true, it follows that either most mosquito fish have tails or we know that the claim that easter is also the third holiday associated most with spending time as a family is false.', 'One may reasonably assume that if either methods have aspects or most plants grow in moist places, then either most mosquito fish have tails or we know that the claim that easter is also the third holiday associated most with spending time as a family is false.', 'When most mosquito fish have tails is true, it follows that either authors find differences or light pollution is a bane for film astrophotographers.', 'If most mosquito fish have tails, then we know that the claim that either authors find differences or light pollution is a bane for film astrophotographers is false.']
|
When dry hands can wipe off the protective slime that covers some amphibians is true, it follows that if it is not true that if the statement, cleavage is a series of mitotlc cell divisions that transform the zygote into a blastula, does not hold, then easter is also the third holiday associated most with spending time as a family, then if most industries lack necessary air filtration systems for collection of dust and particulate, then some mice live in containers. The claim that dry hands can wipe off the protective slime that covers some amphibians is true. Given that bats are especially important pollinators in the tropics, it can be inferred that the notion that 'if most industries lack necessary air filtration systems for collection of dust and particulate, then some mice live in containers' is untrue. It is fair to say that bats are especially important pollinators in the tropics. We know that either gyroscopes resist attempts to change the angular position of the axis of the spin or either methods have aspects or most plants grow in moist places. When gyroscopes resist attempts to change the angular position of the axis of the spin is true, it follows that either most mosquito fish have tails or we know that the claim that easter is also the third holiday associated most with spending time as a family is false. One may reasonably assume that if either methods have aspects or most plants grow in moist places, then either most mosquito fish have tails or we know that the claim that easter is also the third holiday associated most with spending time as a family is false. When most mosquito fish have tails is true, it follows that either authors find differences or light pollution is a bane for film astrophotographers. If most mosquito fish have tails, then we know that the claim that either authors find differences or light pollution is a bane for film astrophotographers is false.
|
Many people rightly believe that cleavage is a series of mitotlc cell divisions that transform the zygote into a blastula.
|
Cleavage gives rise over a number of hours to hundreds of cells.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If (Not [0].), then [1].).), then (If [3], then [4].).).
[5]
Therefore, If (Not (If (Not [0].), then [1].).), then (If [3], then [4].)..
[SC2-2]
Modus Ponens:
If [6], then (Not (If [3], then [4].).).
[6]
Therefore, Not (If [3], then [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (Either [2] or (Not [1].).).
If (Either [8] or [9].), then (Either [2] or (Not [1].).).
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (Either [10] or [11].).
If [2], then (Not (Either [10] or [11].).).
Therefore, Not [2]..
|
{0: 'Cleavage is a series of mitotlc cell divisions that transform the zygote into a blastula.', 1: 'Easter is also the third holiday associated most with spending time as a family.', 2: 'Most mosquito fish have tails.', 3: 'Most industries lack necessary air filtration systems for collection of dust and particulate.', 4: 'Some mice live in containers.', 5: 'Dry hands can wipe off the protective slime that covers some amphibians.', 6: 'Bats are especially important pollinators in the tropics.', 7: 'Gyroscopes resist attempts to change the angular position of the axis of the spin.', 8: 'Methods have aspects.', 9: 'Most plants grow in moist places.', 10: 'Authors find differences.', 11: 'Light pollution is a bane for film astrophotographers.'}
| 7 |
6,200 |
['It is rational to believe that either chlorides can contaminate freshwater streams and lakes or many African regimes do, indeed, exert their power with egregious disregard for basic human rights.', 'Given that many African regimes do, indeed, exert their power with egregious disregard for basic human rights, it can be inferred that the claim that if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly does not correspond with reality.', 'Either one or both of these statements are true: amphibians require diets, or stars have different colors, depending on how hot they are.', 'Given that amphibians require diets, it can be inferred that if the statement, if the claim that many children experience grow pain does not reflect reality, then if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly, does not hold, then dead matter is squashed under extremely high pressure over millions of years.', 'One may reasonably assume that if stars have different colors, depending on how hot they are, then if the statement, if the claim that many children experience grow pain does not reflect reality, then if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly, does not hold, then dead matter is squashed under extremely high pressure over millions of years.', 'Should it be the case that dead matter is squashed under extremely high pressure over millions of years, it follows that fireplaces have (part) front rooms.', "So long as dead matter is squashed under extremely high pressure over millions of years, 'the claim that fireplaces have (part) front rooms is false' is true.", 'We know that the claim that most gerbils attain maturity is false.', "So long as principle rays result from optical properties of the mirror, 'if it is not the case that if chlorides can contaminate freshwater streams and lakes, then the claim that if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly does not correspond with reality, then most gerbils attain maturity' is true.", 'The claim that principle rays result from optical properties of the mirror is true.']
|
It is rational to believe that either chlorides can contaminate freshwater streams and lakes or many African regimes do, indeed, exert their power with egregious disregard for basic human rights. Given that many African regimes do, indeed, exert their power with egregious disregard for basic human rights, it can be inferred that the claim that if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly does not correspond with reality. Either one or both of these statements are true: amphibians require diets, or stars have different colors, depending on how hot they are. Given that amphibians require diets, it can be inferred that if the statement, if the claim that many children experience grow pain does not reflect reality, then if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly, does not hold, then dead matter is squashed under extremely high pressure over millions of years. One may reasonably assume that if stars have different colors, depending on how hot they are, then if the statement, if the claim that many children experience grow pain does not reflect reality, then if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly, does not hold, then dead matter is squashed under extremely high pressure over millions of years. Should it be the case that dead matter is squashed under extremely high pressure over millions of years, it follows that fireplaces have (part) front rooms. So long as dead matter is squashed under extremely high pressure over millions of years, 'the claim that fireplaces have (part) front rooms is false' is true. We know that the claim that most gerbils attain maturity is false. So long as principle rays result from optical properties of the mirror, 'if it is not the case that if chlorides can contaminate freshwater streams and lakes, then the claim that if flashcards play a vital role in early childhood development, then crusted grain can cave in unexpectedly does not correspond with reality, then most gerbils attain maturity' is true. The claim that principle rays result from optical properties of the mirror is true.
|
It is reasonable to believe that many children experience grow pain.
|
It is reasonable to believe that many children experience grow pain.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).
If [8], then (If (Not (If (Not [0].), then (If [1], then [2].).).), then [5].).
Therefore, If (Not (If (Not [0].), then (If [1], then [2].).).), then [5]..
[SC2-2]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not (If [1], then [2].).). [SC2-2]
If [4], then (Not (If [1], then [2].).).
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (Not (If [1], then [2].).).).), then [9]. [SC1-3]
Not [9].
Therefore, If [3], then (Not (If [1], then [2].).)..
[SC1-3]
Modus Ponens:
If [10], then (If (Not (If [3], then (Not (If [1], then [2].).).).), then [9].).
[10]
Therefore, If (Not (If [3], then (Not (If [1], then [2].).).).), then [9]..
|
{0: 'Many children experience grow pain.', 1: 'Flashcards play a vital role in early childhood development.', 2: 'Crusted grain can cave in unexpectedly.', 3: 'Chlorides can contaminate freshwater streams and lakes.', 4: 'Many African regimes do, indeed, exert their power with egregious disregard for basic human rights.', 5: 'Dead matter is squashed under extremely high pressure over millions of years.', 6: 'Fireplaces have (part) front rooms.', 7: 'Amphibians require diets.', 8: 'Stars have different colors, depending on how hot they are.', 9: 'Most gerbils attain maturity.', 10: 'Principle rays result from optical properties of the mirror.'}
| 7 |
6,364 |
['There is good reason to believe that either enkephalins are endorphins or either baptism marks the beginning of the discipleship process or healthy mucosa allows nutrients to pass the barrier while blocking the entry of toxins.', 'Assuming enkephalins are endorphins, we know that either carpentry is trade or if bluetooth radio is a complete transceiver, including all external components except antenna, then it is a common misconception that if ingrained habits die slowly, then bourbons are intensely fragrant.', 'Provided that either baptism marks the beginning of the discipleship process or healthy mucosa allows nutrients to pass the barrier while blocking the entry of toxins, we know that either carpentry is trade or if bluetooth radio is a complete transceiver, including all external components except antenna, then it is a common misconception that if ingrained habits die slowly, then bourbons are intensely fragrant.', 'We know that either physical therapy includes orthopaedic, neurological and wound care or some animals live in Australia.', "Once we know physical therapy includes orthopaedic, neurological and wound care, we also know that the statement that 'carpentry is trade' is incorrect.", "Whenever it is true that some animals live in Australia, 'the statement that 'carpentry is trade' is incorrect' is true.", "Whenever it is true that the claim that if those that suggest bluetooth radio is a complete transceiver, including all external components except antenna are wrong, then some animals are evolved from ancestry does not reflect reality, 'nocturnal eating is primarily a problem in infancy' is true.", 'The claim that nocturnal eating is primarily a problem in infancy does not correspond with reality.', 'It is a fact that either some chemical groups are part of coenzymes or the statement, some animals are evolved from ancestry, does not hold.', 'The statement, some chemical groups are part of coenzymes, does not hold.']
|
There is good reason to believe that either enkephalins are endorphins or either baptism marks the beginning of the discipleship process or healthy mucosa allows nutrients to pass the barrier while blocking the entry of toxins. Assuming enkephalins are endorphins, we know that either carpentry is trade or if bluetooth radio is a complete transceiver, including all external components except antenna, then it is a common misconception that if ingrained habits die slowly, then bourbons are intensely fragrant. Provided that either baptism marks the beginning of the discipleship process or healthy mucosa allows nutrients to pass the barrier while blocking the entry of toxins, we know that either carpentry is trade or if bluetooth radio is a complete transceiver, including all external components except antenna, then it is a common misconception that if ingrained habits die slowly, then bourbons are intensely fragrant. We know that either physical therapy includes orthopaedic, neurological and wound care or some animals live in Australia. Once we know physical therapy includes orthopaedic, neurological and wound care, we also know that the statement that 'carpentry is trade' is incorrect. Whenever it is true that some animals live in Australia, 'the statement that 'carpentry is trade' is incorrect' is true. Whenever it is true that the claim that if those that suggest bluetooth radio is a complete transceiver, including all external components except antenna are wrong, then some animals are evolved from ancestry does not reflect reality, 'nocturnal eating is primarily a problem in infancy' is true. The claim that nocturnal eating is primarily a problem in infancy does not correspond with reality. It is a fact that either some chemical groups are part of coenzymes or the statement, some animals are evolved from ancestry, does not hold. The statement, some chemical groups are part of coenzymes, does not hold.
|
It is a common misconception that if ingrained habits die slowly, then bourbons are intensely fragrant.
|
The statement 'azaleas are generally healthy plants when their basic cultural requirements are met' can be considered false.
|
Uncertain
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not (If [0], then [1].).).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC1-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (Either [3] or (If [2], then (Not (If [0], then [1].).).).).
If (Either [8] or [9].), then (Either [3] or (If [2], then (Not (If [0], then [1].).).).).
Therefore, Either [3] or (If [2], then (Not (If [0], then [1].).).)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If (Not [2].), then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (If (Not [2].), then [4].).), then [10].
Not [10].
Therefore, If (Not [2].), then [4]..
[SC2-2]
Disjunctive Syllogism:
Either [11] or (Not [4].).
Not [11].
Therefore, Not [4]..
|
{0: 'Ingrained habits die slowly.', 1: 'Bourbons are intensely fragrant.', 2: 'Bluetooth radio is a complete transceiver, including all external components except antenna.', 3: 'Carpentry is trade.', 4: 'Some animals are evolved from ancestry.', 5: 'Physical therapy includes orthopaedic, neurological and wound care.', 6: 'Some animals live in Australia.', 7: 'Enkephalins are endorphins.', 8: 'Baptism marks the beginning of the discipleship process.', 9: 'Healthy mucosa allows nutrients to pass the barrier while blocking the entry of toxins.', 10: 'Nocturnal eating is primarily a problem in infancy.', 11: 'Some chemical groups are part of coenzymes.'}
| 7 |
6,991 |
["The notion that 'honey bees need food' is untrue.", "Provided that the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, we know that horns grow throughout the life of the animal.", 'At least one of two things is true: many pathogens survive between cropping seasons on crop debris, or if gifted children are still children, then throws are propulsion.', 'Given that if gifted children are still children, then throws are propulsion, it can be inferred that if either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations, then honey bees need food.', 'There is good reason to believe that either cohabitation means living in a spouse-like relationship or douches tend to remove the normal bacteria that keep yeast from infecting the vagina.', "If cohabitation means living in a spouse-like relationship, then if the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, then it is not true that horns grow throughout the life of the animal.", 'Given that the claim that if many pathogens survive between cropping seasons on crop debris, then if either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations, then honey bees need food does not correspond with reality, it can be inferred that fathers treat children.', "The notion that 'fathers treat children' is untrue.", 'Once we know douches tend to remove the normal bacteria that keep yeast from infecting the vagina, we also know that faith is simply the ability to believe without seeing.', "Given that faith is simply the ability to believe without seeing, it can be inferred that if the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, then it is not true that horns grow throughout the life of the animal."]
|
The notion that 'honey bees need food' is untrue. Provided that the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, we know that horns grow throughout the life of the animal. At least one of two things is true: many pathogens survive between cropping seasons on crop debris, or if gifted children are still children, then throws are propulsion. Given that if gifted children are still children, then throws are propulsion, it can be inferred that if either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations, then honey bees need food. There is good reason to believe that either cohabitation means living in a spouse-like relationship or douches tend to remove the normal bacteria that keep yeast from infecting the vagina. If cohabitation means living in a spouse-like relationship, then if the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, then it is not true that horns grow throughout the life of the animal. Given that the claim that if many pathogens survive between cropping seasons on crop debris, then if either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations, then honey bees need food does not correspond with reality, it can be inferred that fathers treat children. The notion that 'fathers treat children' is untrue. Once we know douches tend to remove the normal bacteria that keep yeast from infecting the vagina, we also know that faith is simply the ability to believe without seeing. Given that faith is simply the ability to believe without seeing, it can be inferred that if the statement 'if the notion that 'if life is a light show at one moment and an intense, often mystic, inner experience the next, then boll weevils are still of concern in some fields' is untrue, then either voice mail is essentially the computer-based equivalent of the home answering machine or drift is most important in small populations' can be considered false, then it is not true that horns grow throughout the life of the animal.
|
When life is a light show at one moment and an intense, often mystic, inner experience the next is true, it follows that boll weevils are still of concern in some fields.
|
When life is a light show at one moment and an intense, often mystic, inner experience the next is true, it follows that boll weevils are still of concern in some fields.
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then [2]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then [8].
If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].). [SC2-3]
Therefore, If (Not (If [0], then [1].).), then (Either [3] or [4].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].).).
If [10], then (If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].).). [SC3-4]
Therefore, If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].)..
[SC3-4]
Hypothetical Syllogism:
If [10], then [12].
If [12], then (If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].).).
Therefore, If [10], then (If (Not (If (Not (If [0], then [1].).), then (Either [3] or [4].).).), then (Not [8].).)..
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If (Either [3] or [4].), then [2].). [SC2-3]
If (If [6], then [7].), then (If (Either [3] or [4].), then [2].).
Therefore, If (Either [3] or [4].), then [2]..
[SC2-3]
Modus Tonens:
If (Not (If [5], then (If (Either [3] or [4].), then [2].).).), then [11].
Not [11].
Therefore, If [5], then (If (Either [3] or [4].), then [2].)..
|
{0: 'Life is a light show at one moment and an intense, often mystic, inner experience the next.', 1: 'Boll weevils are still of concern in some fields.', 2: 'Honey bees need food.', 3: 'Voice mail is essentially the computer-based equivalent of the home answering machine.', 4: 'Drift is most important in small populations.', 5: 'Many pathogens survive between cropping seasons on crop debris.', 6: 'Gifted children are still children.', 7: 'Throws are propulsion.', 8: 'Horns grow throughout the life of the animal.', 9: 'Cohabitation means living in a spouse-like relationship.', 10: 'Douches tend to remove the normal bacteria that keep yeast from infecting the vagina.', 11: 'Fathers treat children.', 12: 'Faith is simply the ability to believe without seeing.'}
| 7 |
6,462 |
["So long as all organisms cause changes in the environment where they live, 'if we know that the claim that goods are more valuable in quantity, since their value is multiplied by the number held is false, then color can play an important role in logo design' is true.", "So long as color can play an important role in logo design, 'if surprisings can involve laughs, then some petrol engines are part of autos' is true.", 'The claim that if surprisings can involve laughs, then some petrol engines are part of autos does not reflect reality.', "So long as the statement that states all organisms cause changes in the environment where they live is false, 'it is a common misconception that typefaces can have a variety of widths' is true.", "The statement that 'juvenile fall chinook salmon survive at a higher rate under increased flows and lower temperatures' is incorrect.", 'Provided that either tATU is a peer teaching tobacco prevention program or chromosomes are labeled in red, and mitotic spindle fibers in green, we know that either juvenile fall chinook salmon survive at a higher rate under increased flows and lower temperatures or if the statement that states all organisms cause changes in the environment where they live is false, then typefaces can have a variety of widths.', 'When it is not true that either tATU is a peer teaching tobacco prevention program or chromosomes are labeled in red, and mitotic spindle fibers in green is true, it follows that most buds still retain their light or dark red color.', "The notion that 'most buds still retain their light or dark red color' is untrue."]
|
So long as all organisms cause changes in the environment where they live, 'if we know that the claim that goods are more valuable in quantity, since their value is multiplied by the number held is false, then color can play an important role in logo design' is true. So long as color can play an important role in logo design, 'if surprisings can involve laughs, then some petrol engines are part of autos' is true. The claim that if surprisings can involve laughs, then some petrol engines are part of autos does not reflect reality. So long as the statement that states all organisms cause changes in the environment where they live is false, 'it is a common misconception that typefaces can have a variety of widths' is true. The statement that 'juvenile fall chinook salmon survive at a higher rate under increased flows and lower temperatures' is incorrect. Provided that either tATU is a peer teaching tobacco prevention program or chromosomes are labeled in red, and mitotic spindle fibers in green, we know that either juvenile fall chinook salmon survive at a higher rate under increased flows and lower temperatures or if the statement that states all organisms cause changes in the environment where they live is false, then typefaces can have a variety of widths. When it is not true that either tATU is a peer teaching tobacco prevention program or chromosomes are labeled in red, and mitotic spindle fibers in green is true, it follows that most buds still retain their light or dark red color. The notion that 'most buds still retain their light or dark red color' is untrue.
|
The statement 'goods are more valuable in quantity, since their value is multiplied by the number held' can be considered true.
|
The statement 'goods are more valuable in quantity, since their value is multiplied by the number held' can be considered true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (If (Not [0].), then [1].).
[4] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [4].), then [5]. [SC1-3]
If (Not [4].), then (Not [5].).
Therefore, [4].
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not [4].), then [5].). [SC1-4]
Not [6].
Therefore, If (Not [4].), then [5]..
[SC1-4]
Modus Ponens:
If (Either [7] or [8].), then (Either [6] or (If (Not [4].), then [5].).).
Either [7] or [8]. [SC2-5]
Therefore, Either [6] or (If (Not [4].), then [5].)..
[SC2-5]
Modus Tonens:
If (Not (Either [7] or [8].).), then [9].
Not [9].
Therefore, Either [7] or [8]..
[SC2-1]
Modus Tonens:
If [1], then (If [2], then [3].).
Not (If [2], then [3].).
Therefore, Not [1]..
|
{0: 'Goods are more valuable in quantity, since their value is multiplied by the number held.', 1: 'Color can play an important role in logo design.', 2: 'Surprisings can involve laughs.', 3: 'Some petrol engines are part of autos.', 4: 'All organisms cause changes in the environment where they live.', 5: 'Typefaces can have a variety of widths.', 6: 'Juvenile fall chinook salmon survive at a higher rate under increased flows and lower temperatures.', 7: 'TATU is a peer teaching tobacco prevention program.', 8: 'Chromosomes are labeled in red, and mitotic spindle fibers in green.', 9: 'Most buds still retain their light or dark red color.'}
| 7 |
6,356 |
['We know that either railings have (part) bases or white light consists of several colors of light.', 'Either eagles fly in wide circles, scoping the area below or the claim that railings have (part) bases has no merit.', 'One may reasonably assume that if many enzymes catalyze the reactions of substances unrelated to the enzyme itself, then either diarrhea is common in puppies or it is a common misconception that eagles fly in wide circles, scoping the area below.', 'It is true that many enzymes catalyze the reactions of substances unrelated to the enzyme itself.', 'On the condition that either most diets help prevent health problems or bone contains also the bone cells and blood vessels, it is definitely the case that those that suggest diarrhea is common in puppies are wrong.', 'On the condition that elephants live in climates, it is definitely the case that those that suggest diarrhea is common in puppies are wrong.', 'We know that either ecosystems have (part) hierarchies or flowers have seeds.', 'Should it be the case that ecosystems have (part) hierarchies, it follows that either either most diets help prevent health problems or bone contains also the bone cells and blood vessels or elephants live in climates.', 'Should it be the case that flowers have seeds, it follows that continuous chlorination adds low levels of chlorine to a water supply.', "Whenever it is true that continuous chlorination adds low levels of chlorine to a water supply, 'either either most diets help prevent health problems or bone contains also the bone cells and blood vessels or elephants live in climates' is true."]
|
We know that either railings have (part) bases or white light consists of several colors of light. Either eagles fly in wide circles, scoping the area below or the claim that railings have (part) bases has no merit. One may reasonably assume that if many enzymes catalyze the reactions of substances unrelated to the enzyme itself, then either diarrhea is common in puppies or it is a common misconception that eagles fly in wide circles, scoping the area below. It is true that many enzymes catalyze the reactions of substances unrelated to the enzyme itself. On the condition that either most diets help prevent health problems or bone contains also the bone cells and blood vessels, it is definitely the case that those that suggest diarrhea is common in puppies are wrong. On the condition that elephants live in climates, it is definitely the case that those that suggest diarrhea is common in puppies are wrong. We know that either ecosystems have (part) hierarchies or flowers have seeds. Should it be the case that ecosystems have (part) hierarchies, it follows that either either most diets help prevent health problems or bone contains also the bone cells and blood vessels or elephants live in climates. Should it be the case that flowers have seeds, it follows that continuous chlorination adds low levels of chlorine to a water supply. Whenever it is true that continuous chlorination adds low levels of chlorine to a water supply, 'either either most diets help prevent health problems or bone contains also the bone cells and blood vessels or elephants live in climates' is true.
|
The statement 'white light consists of several colors of light' is true.
|
We know that the claim that white light consists of several colors of light is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [7], then (Either [3] or (Not [2].).).
[7]
Therefore, Either [3] or (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-4]
If (Either [4] or [5].), then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (Either (Either [4] or [5].) or [6].).
If [9], then (Either (Either [4] or [5].) or [6].). [SC3-5]
Therefore, Either (Either [4] or [5].) or [6]..
[SC3-5]
Hypothetical Syllogism:
If [9], then [10].
If [10], then (Either (Either [4] or [5].) or [6].).
Therefore, If [9], then (Either (Either [4] or [5].) or [6].)..
|
{0: 'White light consists of several colors of light.', 1: 'Railings have (part) bases.', 2: 'Eagles fly in wide circles, scoping the area below.', 3: 'Diarrhea is common in puppies.', 4: 'Most diets help prevent health problems.', 5: 'Bone contains also the bone cells and blood vessels.', 6: 'Elephants live in climates.', 7: 'Many enzymes catalyze the reactions of substances unrelated to the enzyme itself.', 8: 'Ecosystems have (part) hierarchies.', 9: 'Flowers have seeds.', 10: 'Continuous chlorination adds low levels of chlorine to a water supply.'}
| 7 |
6,002 |
['There is good reason to believe that either most immature birds have coloration or either most birds prefer trees or falls are a leading cause of injuries, hospitalizations, and deaths among the elderly.', "Whenever it is true that most immature birds have coloration, 'if antibiotics come as solutions for the skin or as pills, then suicide is a fact of life among the homeless' is true.", 'When either most birds prefer trees or falls are a leading cause of injuries, hospitalizations, and deaths among the elderly is true, it follows that if antibiotics come as solutions for the skin or as pills, then suicide is a fact of life among the homeless.', 'It is a fact that either if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content or if some people mistakenly believe that if antibiotics come as solutions for the skin or as pills, then it is not true that suicide is a fact of life among the homeless, then either industries develop versions or light microscopy is used to examine a range of micro-organisms.', 'We know that at least one of two things is true: profit is an important incentive that leads entrepreneurs to accept the risks of business failure, or copper produces a red.', "Provided that profit is an important incentive that leads entrepreneurs to accept the risks of business failure, we know that the statement 'either industries develop versions or light microscopy is used to examine a range of micro-organisms' can be considered false.", "Provided that copper produces a red, we know that the statement 'either industries develop versions or light microscopy is used to examine a range of micro-organisms' can be considered false.", "Once we know skin also functions as a cooling system and helps regulate internal body temperature, we also know that the statement that 'if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content' is incorrect.", "Once we know cups fill with hot liquids, we also know that the statement that 'if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content' is incorrect.", 'We know that either economic chaos interferes with the ability of governments to govern or crocodiles have strong legs and feet for moving about on land.', 'Should it be the case that economic chaos interferes with the ability of governments to govern, it follows that either skin also functions as a cooling system and helps regulate internal body temperature or cups fill with hot liquids.', 'Should it be the case that crocodiles have strong legs and feet for moving about on land, it follows that either skin also functions as a cooling system and helps regulate internal body temperature or cups fill with hot liquids.']
|
There is good reason to believe that either most immature birds have coloration or either most birds prefer trees or falls are a leading cause of injuries, hospitalizations, and deaths among the elderly. Whenever it is true that most immature birds have coloration, 'if antibiotics come as solutions for the skin or as pills, then suicide is a fact of life among the homeless' is true. When either most birds prefer trees or falls are a leading cause of injuries, hospitalizations, and deaths among the elderly is true, it follows that if antibiotics come as solutions for the skin or as pills, then suicide is a fact of life among the homeless. It is a fact that either if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content or if some people mistakenly believe that if antibiotics come as solutions for the skin or as pills, then it is not true that suicide is a fact of life among the homeless, then either industries develop versions or light microscopy is used to examine a range of micro-organisms. We know that at least one of two things is true: profit is an important incentive that leads entrepreneurs to accept the risks of business failure, or copper produces a red. Provided that profit is an important incentive that leads entrepreneurs to accept the risks of business failure, we know that the statement 'either industries develop versions or light microscopy is used to examine a range of micro-organisms' can be considered false. Provided that copper produces a red, we know that the statement 'either industries develop versions or light microscopy is used to examine a range of micro-organisms' can be considered false. Once we know skin also functions as a cooling system and helps regulate internal body temperature, we also know that the statement that 'if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content' is incorrect. Once we know cups fill with hot liquids, we also know that the statement that 'if some numerous compounds find in fish, then some commercial growers add brewers yeast to increase growth and add protein content' is incorrect. We know that either economic chaos interferes with the ability of governments to govern or crocodiles have strong legs and feet for moving about on land. Should it be the case that economic chaos interferes with the ability of governments to govern, it follows that either skin also functions as a cooling system and helps regulate internal body temperature or cups fill with hot liquids. Should it be the case that crocodiles have strong legs and feet for moving about on land, it follows that either skin also functions as a cooling system and helps regulate internal body temperature or cups fill with hot liquids.
|
Some people mistakenly believe that antibiotics come as solutions for the skin or as pills.
|
Many people rightly believe that antibiotics come as solutions for the skin or as pills.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If [0], then [1].).
If (Either [5] or [6].), then (If [0], then [1].).
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If (Not (If [0], then (Not [1].).).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If (Not (If [0], then (Not [1].).).), then (Either [2] or [3].).).
Not (If [7], then [8].). [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (Either [2] or [3].)..
[SC2-3]
Disjunction Elimination:
Either [11] or [12]. [SC1-4]
If [11], then (Not (If [7], then [8].).).
If [12], then (Not (If [7], then [8].).).
Therefore, Not (If [7], then [8].)..
[SC1-4]
Disjunction Elimination:
Either [13] or [14].
If [13], then (Either [11] or [12].).
If [14], then (Either [11] or [12].).
Therefore, Either [11] or [12]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not (Either [2] or [3].).).
If [10], then (Not (Either [2] or [3].).).
Therefore, Not (Either [2] or [3].)..
|
{0: 'Antibiotics come as solutions for the skin or as pills.', 1: 'Suicide is a fact of life among the homeless.', 2: 'Industries develop versions.', 3: 'Light microscopy is used to examine a range of micro-organisms.', 4: 'Most immature birds have coloration.', 5: 'Most birds prefer trees.', 6: 'Falls are a leading cause of injuries, hospitalizations, and deaths among the elderly.', 7: 'Some numerous compounds find in fish.', 8: 'Some commercial growers add brewers yeast to increase growth and add protein content.', 9: 'Profit is an important incentive that leads entrepreneurs to accept the risks of business failure.', 10: 'Copper produces a red.', 11: 'Skin also functions as a cooling system and helps regulate internal body temperature.', 12: 'Cups fill with hot liquids.', 13: 'Economic chaos interferes with the ability of governments to govern.', 14: 'Crocodiles have strong legs and feet for moving about on land.'}
| 7 |
6,478 |
['There is good reason to believe that either pangolins have short but powerful limbs, a long body tapering to a conical head and a long tail or some sea urchins eat kelp.', "Provided that pangolins have short but powerful limbs, a long body tapering to a conical head and a long tail, we know that if bows are the traditional way of displaying respect and humility, then the statement 'some water passes through urine' can be considered false.", 'Should it be the case that yoga is the rise of consciousness from the lower to the higher degree of reality, by stages, it follows that bows are the traditional way of displaying respect and humility.', 'Should it be the case that some people lose weight, it follows that bows are the traditional way of displaying respect and humility.', "Either winter habitats include areas or if some sea urchins eat kelp, then if bows are the traditional way of displaying respect and humility, then the statement 'some water passes through urine' can be considered false.", 'We know that at least one of two things is true: either photos show evidence or wild cherry has no thorns, or anion is a negatively charged ion.', 'One may reasonably assume that if either photos show evidence or wild cherry has no thorns, then yoga is the rise of consciousness from the lower to the higher degree of reality, by stages.', "So long as anion is a negatively charged ion, 'some people lose weight' is true.", "Provided that either raw carrots are perennially popular with kids or yoga is the goal of meditation, we know that the notion that 'winter habitats include areas' is untrue.", 'Either home gardening is often an effective means of combating household food insecurity and malnutrition or if ferrets are generally legal everywhere in the United States except California and Hawaii, then some whales strand on beaches.', 'Should it be the case that home gardening is often an effective means of combating household food insecurity and malnutrition, it follows that either raw carrots are perennially popular with kids or yoga is the goal of meditation.', 'When if ferrets are generally legal everywhere in the United States except California and Hawaii, then some whales strand on beaches is true, it follows that either raw carrots are perennially popular with kids or yoga is the goal of meditation.']
|
There is good reason to believe that either pangolins have short but powerful limbs, a long body tapering to a conical head and a long tail or some sea urchins eat kelp. Provided that pangolins have short but powerful limbs, a long body tapering to a conical head and a long tail, we know that if bows are the traditional way of displaying respect and humility, then the statement 'some water passes through urine' can be considered false. Should it be the case that yoga is the rise of consciousness from the lower to the higher degree of reality, by stages, it follows that bows are the traditional way of displaying respect and humility. Should it be the case that some people lose weight, it follows that bows are the traditional way of displaying respect and humility. Either winter habitats include areas or if some sea urchins eat kelp, then if bows are the traditional way of displaying respect and humility, then the statement 'some water passes through urine' can be considered false. We know that at least one of two things is true: either photos show evidence or wild cherry has no thorns, or anion is a negatively charged ion. One may reasonably assume that if either photos show evidence or wild cherry has no thorns, then yoga is the rise of consciousness from the lower to the higher degree of reality, by stages. So long as anion is a negatively charged ion, 'some people lose weight' is true. Provided that either raw carrots are perennially popular with kids or yoga is the goal of meditation, we know that the notion that 'winter habitats include areas' is untrue. Either home gardening is often an effective means of combating household food insecurity and malnutrition or if ferrets are generally legal everywhere in the United States except California and Hawaii, then some whales strand on beaches. Should it be the case that home gardening is often an effective means of combating household food insecurity and malnutrition, it follows that either raw carrots are perennially popular with kids or yoga is the goal of meditation. When if ferrets are generally legal everywhere in the United States except California and Hawaii, then some whales strand on beaches is true, it follows that either raw carrots are perennially popular with kids or yoga is the goal of meditation.
|
The statement 'some water passes through urine' can be considered false.
|
It is rational to agree that some water passes through urine.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC3-2]
Disjunctive Syllogism:
Either [9] or (If [5], then (If [1], then (Not [0].).).).
Not [9]. [SC2-3]
Therefore, If [5], then (If [1], then (Not [0].).)..
[SC2-3]
Modus Ponens:
If (Either [10] or [11].), then (Not [9].).
Either [10] or [11]. [SC2-4]
Therefore, Not [9]..
[SC2-4]
Disjunction Elimination:
Either [12] or (If [13], then [14].).
If [12], then (Either [10] or [11].).
If (If [13], then [14].), then (Either [10] or [11].).
Therefore, Either [10] or [11]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [1].
Therefore, [1].
[SC1-2]
Constructive Dilemma:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then [2].
If [8], then [3].
Therefore, Either [2] or [3]..
|
{0: 'Some water passes through urine.', 1: 'Bows are the traditional way of displaying respect and humility.', 2: 'Yoga is the rise of consciousness from the lower to the higher degree of reality, by stages.', 3: 'Some people lose weight.', 4: 'Pangolins have short but powerful limbs, a long body tapering to a conical head and a long tail.', 5: 'Some sea urchins eat kelp.', 6: 'Photos show evidence.', 7: 'Wild cherry has no thorns.', 8: 'Anion is a negatively charged ion.', 9: 'Winter habitats include areas.', 10: 'Raw carrots are perennially popular with kids.', 11: 'Yoga is the goal of meditation.', 12: 'Home gardening is often an effective means of combating household food insecurity and malnutrition.', 13: 'Ferrets are generally legal everywhere in the United States except California and Hawaii.', 14: 'Some whales strand on beaches.'}
| 7 |
6,695 |
["Provided that either poverty negatively affects family functioning and children's school results or sadness causes a desire to cries, we know that the claim that a community is gathering is false.", "At least one of two things is true: poverty negatively affects family functioning and children's school results, or sadness causes a desire to cries.", 'One may reasonably assume that if the claim that either foxes have tails or if those that suggest freedom has nothing to do with comfort or discomfort, danger or safety are wrong, then a community is gathering does not correspond with reality, then the claim that dietary intake provides benefits does not correspond with reality.', 'We know that either epipubic bones extend forwards from the pelvis or the statement, foxes have tails, does not hold.', 'It is not true that epipubic bones extend forwards from the pelvis.', 'Many people rightly believe that property is a means to the preservation of human life.', 'Provided that property is a means to the preservation of human life, we know that wing blackbirds eat seeds.', 'One may reasonably assume that if wing blackbirds eat seeds, then if the claim that either foxes have tails or if those that suggest freedom has nothing to do with comfort or discomfort, danger or safety are wrong, then a community is gathering does not correspond with reality, then dietary intake provides benefits.']
|
Provided that either poverty negatively affects family functioning and children's school results or sadness causes a desire to cries, we know that the claim that a community is gathering is false. At least one of two things is true: poverty negatively affects family functioning and children's school results, or sadness causes a desire to cries. One may reasonably assume that if the claim that either foxes have tails or if those that suggest freedom has nothing to do with comfort or discomfort, danger or safety are wrong, then a community is gathering does not correspond with reality, then the claim that dietary intake provides benefits does not correspond with reality. We know that either epipubic bones extend forwards from the pelvis or the statement, foxes have tails, does not hold. It is not true that epipubic bones extend forwards from the pelvis. Many people rightly believe that property is a means to the preservation of human life. Provided that property is a means to the preservation of human life, we know that wing blackbirds eat seeds. One may reasonably assume that if wing blackbirds eat seeds, then if the claim that either foxes have tails or if those that suggest freedom has nothing to do with comfort or discomfort, danger or safety are wrong, then a community is gathering does not correspond with reality, then dietary intake provides benefits.
|
The claim that freedom has nothing to do with comfort or discomfort, danger or safety is true.
|
Freedom is the result of right choices.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [5]. [SC1-3]
If (Not (Either [2] or (If (Not [0].), then [1].).).), then (Not [5].).
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [5].). [SC1-4]
[7]
Therefore, If (Not (Either [2] or (If (Not [0].), then [1].).).), then [5]..
[SC1-4]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [5].).
Therefore, If [7], then (If (Not (Either [2] or (If (Not [0].), then [1].).).), then [5].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [2].).
Not [6].
Therefore, Not [2]..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (Not [1].).
Either [3] or [4].
Therefore, Not [1]..
|
{0: 'Freedom has nothing to do with comfort or discomfort, danger or safety.', 1: 'A community is gathering.', 2: 'Foxes have tails.', 3: "Poverty negatively affects family functioning and children's school results.", 4: 'Sadness causes a desire to cries.', 5: 'Dietary intake provides benefits.', 6: 'Epipubic bones extend forwards from the pelvis.', 7: 'Property is a means to the preservation of human life.', 8: 'Wing blackbirds eat seeds.'}
| 7 |
6,253 |
['Either cats eat birds or blood has high concentration.', 'Should it be the case that cats eat birds, it follows that it is not true that pathogen grows in GI tract of the louse and is excreted.', 'Some people mistakenly believe that fungi play an important role in decomposition of organic matter.', 'Given that those that suggest either fungi play an important role in decomposition of organic matter or if blood has high concentration, then it is not true that pathogen grows in GI tract of the louse and is excreted are wrong, it can be inferred that midwives are the true guardians of normal birth.', 'At least one of two things is true: ostriches also whistle and snort, or some people mistakenly believe that midwives are the true guardians of normal birth.', 'There is good reason to believe that either either aspiration commonly initiates bacterial nosocomial pneumonia or dilute colors can include blue, blue-fawn, fawn, etc or sea water is similar in salt concentration as blood.', 'Provided that either aspiration commonly initiates bacterial nosocomial pneumonia or dilute colors can include blue, blue-fawn, fawn, etc, we know that if ostriches also whistle and snort, then influenza spreads easily from person to person, so it normally appears as an epidemic.', 'Given that sea water is similar in salt concentration as blood, it can be inferred that if ostriches also whistle and snort, then influenza spreads easily from person to person, so it normally appears as an epidemic.', 'We know that either some herbaceous plants develop from rhizomes or the statement that states influenza spreads easily from person to person, so it normally appears as an epidemic is false.', "The statement that 'some herbaceous plants develop from rhizomes' is incorrect."]
|
Either cats eat birds or blood has high concentration. Should it be the case that cats eat birds, it follows that it is not true that pathogen grows in GI tract of the louse and is excreted. Some people mistakenly believe that fungi play an important role in decomposition of organic matter. Given that those that suggest either fungi play an important role in decomposition of organic matter or if blood has high concentration, then it is not true that pathogen grows in GI tract of the louse and is excreted are wrong, it can be inferred that midwives are the true guardians of normal birth. At least one of two things is true: ostriches also whistle and snort, or some people mistakenly believe that midwives are the true guardians of normal birth. There is good reason to believe that either either aspiration commonly initiates bacterial nosocomial pneumonia or dilute colors can include blue, blue-fawn, fawn, etc or sea water is similar in salt concentration as blood. Provided that either aspiration commonly initiates bacterial nosocomial pneumonia or dilute colors can include blue, blue-fawn, fawn, etc, we know that if ostriches also whistle and snort, then influenza spreads easily from person to person, so it normally appears as an epidemic. Given that sea water is similar in salt concentration as blood, it can be inferred that if ostriches also whistle and snort, then influenza spreads easily from person to person, so it normally appears as an epidemic. We know that either some herbaceous plants develop from rhizomes or the statement that states influenza spreads easily from person to person, so it normally appears as an epidemic is false. The statement that 'some herbaceous plants develop from rhizomes' is incorrect.
|
It is not true that pathogen grows in GI tract of the louse and is excreted.
|
It is reasonable to believe that pathogen grows in GI tract of the louse and is excreted.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [0].).). [SC1-2]
Not [3].
Therefore, If [2], then (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (If [2], then (Not [0].).).).), then [4].
Not [4]. [SC2-3]
Therefore, Either [3] or (If [2], then (Not [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5]. [SC2-4]
Therefore, Not [4]..
[SC2-4]
Modus Tonens:
If [5], then [6]. [SC1-5]
Not [6]. [SC2-5]
Therefore, Not [5]..
[SC1-5]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [5], then [6].).
If [9], then (If [5], then [6].).
Therefore, If [5], then [6]..
[SC2-5]
Disjunctive Syllogism:
Either [10] or (Not [6].).
Not [10].
Therefore, Not [6]..
|
{0: 'Pathogen grows in GI tract of the louse and is excreted.', 1: 'Cats eat birds.', 2: 'Blood has high concentration.', 3: 'Fungi play an important role in decomposition of organic matter.', 4: 'Midwives are the true guardians of normal birth.', 5: 'Ostriches also whistle and snort.', 6: 'Influenza spreads easily from person to person, so it normally appears as an epidemic.', 7: 'Aspiration commonly initiates bacterial nosocomial pneumonia.', 8: 'Dilute colors can include blue, blue-fawn, fawn, etc.', 9: 'Sea water is similar in salt concentration as blood.', 10: 'Some herbaceous plants develop from rhizomes.'}
| 7 |
6,667 |
['When citrine is yellow quartz is true, it follows that it is not true that vagal activity seems to be an important determinant of gastric emptying during hypoglycemia.', 'It is rational to believe that either hedgehogs often cross roads but have no protection against cars or it is a common misconception that individuals may have respiratory weakness.', "When some foxes eat many insects is true, it follows that if the statement that 'citrine is yellow quartz' is incorrect, then if tradition includes beliefs, practices, societal relationships, and attitudes, then humid air contains airborne particles.", 'The claim that some foxes eat many insects is true.', "So long as if tradition includes beliefs, practices, societal relationships, and attitudes, then humid air contains airborne particles, 'white elephants are auspecious creatures which are bounded to the life of kings' is true.", 'If white elephants are auspecious creatures which are bounded to the life of kings, then individuals may have respiratory weakness.', 'At least one of two things is true: computers store all information as binary numbers, or phytoplankton is the base of several aquatic food webs.', 'If computers store all information as binary numbers, then the claim that hedgehogs often cross roads but have no protection against cars has no merit.', "So long as phytoplankton is the base of several aquatic food webs, 'the claim that hedgehogs often cross roads but have no protection against cars has no merit' is true."]
|
When citrine is yellow quartz is true, it follows that it is not true that vagal activity seems to be an important determinant of gastric emptying during hypoglycemia. It is rational to believe that either hedgehogs often cross roads but have no protection against cars or it is a common misconception that individuals may have respiratory weakness. When some foxes eat many insects is true, it follows that if the statement that 'citrine is yellow quartz' is incorrect, then if tradition includes beliefs, practices, societal relationships, and attitudes, then humid air contains airborne particles. The claim that some foxes eat many insects is true. So long as if tradition includes beliefs, practices, societal relationships, and attitudes, then humid air contains airborne particles, 'white elephants are auspecious creatures which are bounded to the life of kings' is true. If white elephants are auspecious creatures which are bounded to the life of kings, then individuals may have respiratory weakness. At least one of two things is true: computers store all information as binary numbers, or phytoplankton is the base of several aquatic food webs. If computers store all information as binary numbers, then the claim that hedgehogs often cross roads but have no protection against cars has no merit. So long as phytoplankton is the base of several aquatic food webs, 'the claim that hedgehogs often cross roads but have no protection against cars has no merit' is true.
|
It is not true that vagal activity seems to be an important determinant of gastric emptying during hypoglycemia.
|
It is not true that vagal activity seems to be an important determinant of gastric emptying during hypoglycemia.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then (If [3], then [4].). [SC1-3]
If (If [3], then [4].), then [2]. [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC1-3]
Modus Ponens:
If [9], then (If (Not [1].), then (If [3], then [4].).).
[9]
Therefore, If (Not [1].), then (If [3], then [4].)..
[SC2-3]
Hypothetical Syllogism:
If (If [3], then [4].), then [8].
If [8], then [2].
Therefore, If (If [3], then [4].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5]. [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Vagal activity seems to be an important determinant of gastric emptying during hypoglycemia.', 1: 'Citrine is yellow quartz.', 2: 'Individuals may have respiratory weakness.', 3: 'Tradition includes beliefs, practices, societal relationships, and attitudes.', 4: 'Humid air contains airborne particles.', 5: 'Hedgehogs often cross roads but have no protection against cars.', 6: 'Computers store all information as binary numbers.', 7: 'Phytoplankton is the base of several aquatic food webs.', 8: 'White elephants are auspecious creatures which are bounded to the life of kings.', 9: 'Some foxes eat many insects.'}
| 7 |
6,085 |
["Once we know moms cause problems, we also know that the notion that 'most pandas have teeth' is untrue.", 'If it is a common misconception that moms cause problems, then financial planning is a dynamic process affected by changes in personal circumstances.', 'One may reasonably assume that if servals get very neurotic when kept to long in smaller cages, then if it is a common misconception that moms cause problems, then it is not true that financial planning is a dynamic process affected by changes in personal circumstances.', 'At least one of two things is true: some weeds grow in sidewalk cracks, or executive power is exercised by the president and the government.', 'On the condition that executive power is exercised by the president and the government, it is definitely the case that servals get very neurotic when kept to long in smaller cages.', "One may reasonably assume that if the statement that 'if humans are uniquely reflective animals, then if it is a common misconception that moms cause problems, then it is not true that financial planning is a dynamic process affected by changes in personal circumstances' is incorrect, then spies have (part) body substances.", 'We know that the claim that spies have (part) body substances is false.', 'Some people mistakenly believe that most men notice that the frequency and firmness of their erections increases.', 'Either one or both of these statements are true: either strokes are serious conditions requiring medical attention or vans have windows, or if some people mistakenly believe that if some weeds grow in sidewalk cracks, then humans are uniquely reflective animals, then most men notice that the frequency and firmness of their erections increases.', 'The claim that either strokes are serious conditions requiring medical attention or vans have windows has no merit.']
|
Once we know moms cause problems, we also know that the notion that 'most pandas have teeth' is untrue. If it is a common misconception that moms cause problems, then financial planning is a dynamic process affected by changes in personal circumstances. One may reasonably assume that if servals get very neurotic when kept to long in smaller cages, then if it is a common misconception that moms cause problems, then it is not true that financial planning is a dynamic process affected by changes in personal circumstances. At least one of two things is true: some weeds grow in sidewalk cracks, or executive power is exercised by the president and the government. On the condition that executive power is exercised by the president and the government, it is definitely the case that servals get very neurotic when kept to long in smaller cages. One may reasonably assume that if the statement that 'if humans are uniquely reflective animals, then if it is a common misconception that moms cause problems, then it is not true that financial planning is a dynamic process affected by changes in personal circumstances' is incorrect, then spies have (part) body substances. We know that the claim that spies have (part) body substances is false. Some people mistakenly believe that most men notice that the frequency and firmness of their erections increases. Either one or both of these statements are true: either strokes are serious conditions requiring medical attention or vans have windows, or if some people mistakenly believe that if some weeds grow in sidewalk cracks, then humans are uniquely reflective animals, then most men notice that the frequency and firmness of their erections increases. The claim that either strokes are serious conditions requiring medical attention or vans have windows has no merit.
|
The notion that 'most pandas have teeth' is untrue.
|
Most pandas have teeth.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2].
If (Not [1].), then (Not [2].). [SC2-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not [1].), then (Not [2].).). [SC2-3]
If [4], then (If (Not [1].), then (Not [2].).).
Therefore, If (Not [1].), then (Not [2].)..
[SC1-3]
Constructive Dilemma:
Either [6] or [7].
If [6], then [3]. [SC2-4]
If [7], then [4].
Therefore, Either [3] or [4]..
[SC2-4]
Modus Tonens:
If (Not (If [6], then [3].).), then [8]. [SC1-5]
Not [8].
Therefore, If [6], then [3]..
[SC1-5]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If (Not (If [6], then [3].).), then [8].).
Not (Either [9] or [10].).
Therefore, If (Not (If [6], then [3].).), then [8]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then (If (Not [1].), then (Not [2].).).).), then [5].
Not [5].
Therefore, If [3], then (If (Not [1].), then (Not [2].).)..
|
{0: 'Most pandas have teeth.', 1: 'Moms cause problems.', 2: 'Financial planning is a dynamic process affected by changes in personal circumstances.', 3: 'Humans are uniquely reflective animals.', 4: 'Servals get very neurotic when kept to long in smaller cages.', 5: 'Spies have (part) body substances.', 6: 'Some weeds grow in sidewalk cracks.', 7: 'Executive power is exercised by the president and the government.', 8: 'Most men notice that the frequency and firmness of their erections increases.', 9: 'Strokes are serious conditions requiring medical attention.', 10: 'Vans have windows.'}
| 7 |
6,969 |
["On the condition that the statement 'an annelid worm is a worm' can be considered false, it is definitely the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose.", 'We know that either some many researchers study reproduction or preschoolers are more likely to learn to love books if they are read to.', "The statement 'shooks are barrels' can be considered true.", 'Should it be the case that blacks are less likely to receive advanced medical treatments, it follows that either good cooking is light eating, based on local fresh products or if some many researchers study reproduction, then it is not the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose.', 'The claim that blacks are less likely to receive advanced medical treatments is true.', 'Once we know good cooking is light eating, based on local fresh products, we also know that today there are three non-Euclidean geometries of particular interest to students of mathematics.', 'Provided that good cooking is light eating, based on local fresh products, we know that the claim that today there are three non-Euclidean geometries of particular interest to students of mathematics is false.', 'When those that suggest if shooks are barrels, then if preschoolers are more likely to learn to love books if they are read to, then it is not the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose are wrong is true, it follows that either magnitudes depend on differences or retropharyngeal abscesses are generally a disease of young children and are uncommon in adults.', 'The claim that either magnitudes depend on differences or retropharyngeal abscesses are generally a disease of young children and are uncommon in adults is false.']
|
On the condition that the statement 'an annelid worm is a worm' can be considered false, it is definitely the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose. We know that either some many researchers study reproduction or preschoolers are more likely to learn to love books if they are read to. The statement 'shooks are barrels' can be considered true. Should it be the case that blacks are less likely to receive advanced medical treatments, it follows that either good cooking is light eating, based on local fresh products or if some many researchers study reproduction, then it is not the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose. The claim that blacks are less likely to receive advanced medical treatments is true. Once we know good cooking is light eating, based on local fresh products, we also know that today there are three non-Euclidean geometries of particular interest to students of mathematics. Provided that good cooking is light eating, based on local fresh products, we know that the claim that today there are three non-Euclidean geometries of particular interest to students of mathematics is false. When those that suggest if shooks are barrels, then if preschoolers are more likely to learn to love books if they are read to, then it is not the case that either jurisdiction is a term used in several related senses or lymphoma is one of the most complicated and challenging cancers to diagnose are wrong is true, it follows that either magnitudes depend on differences or retropharyngeal abscesses are generally a disease of young children and are uncommon in adults. The claim that either magnitudes depend on differences or retropharyngeal abscesses are generally a disease of young children and are uncommon in adults is false.
|
It is the case that an annelid worm is a worm.
|
Most annelid worms feed on nutrients.
|
Uncertain
|
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].
If [3], then (Not (Either [1] or [2].).). [SC2-2]
If [4], then (Not (Either [1] or [2].).). [SC3-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [3], then (Not (Either [1] or [2].).).). [SC1-3]
Not [6]. [SC2-3]
Therefore, If [3], then (Not (Either [1] or [2].).)..
[SC1-3]
Modus Ponens:
If [7], then (Either [6] or (If [3], then (Not (Either [1] or [2].).).).).
[7]
Therefore, Either [6] or (If [3], then (Not (Either [1] or [2].).).)..
[SC2-3]
Reductio Ad Absurdum:
If [6], then [8].
If [6], then (Not [8].).
Therefore, Not [6]..
[SC3-2]
Modus Ponens:
If [5], then (If [4], then (Not (Either [1] or [2].).).). [SC1-3]
[5]
Therefore, If [4], then (Not (Either [1] or [2].).)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (If [4], then (Not (Either [1] or [2].).).).).), then (Either [9] or [10].).
Not (Either [9] or [10].).
Therefore, If [5], then (If [4], then (Not (Either [1] or [2].).).)..
|
{0: 'An annelid worm is a worm.', 1: 'Jurisdiction is a term used in several related senses.', 2: 'Lymphoma is one of the most complicated and challenging cancers to diagnose.', 3: 'Some many researchers study reproduction.', 4: 'Preschoolers are more likely to learn to love books if they are read to.', 5: 'Shooks are barrels.', 6: 'Good cooking is light eating, based on local fresh products.', 7: 'Blacks are less likely to receive advanced medical treatments.', 8: 'Today there are three non-Euclidean geometries of particular interest to students of mathematics.', 9: 'Magnitudes depend on differences.', 10: 'Retropharyngeal abscesses are generally a disease of young children and are uncommon in adults.'}
| 7 |
6,075 |
['Either wombats usually give birth to a single young, but twins do occur or pennsylvania isa thing.', 'It is the case that truth is the affirmation of the myths that define our world.', 'Should it be the case that either attitudes are an important predictor of sexual aggression in men or interposition is rare in dorsal fractures and fracture-dislocations, but common in volar injuries, it follows that if wombats usually give birth to a single young, but twins do occur, then if if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior, then if turkey jerky is subject to rancidity, as are other smoked turkey products, then summer is also a time to challenge children with experiences out of the ordinary.', 'Either one or both of these statements are true: attitudes are an important predictor of sexual aggression in men, or interposition is rare in dorsal fractures and fracture-dislocations, but common in volar injuries.', 'One may reasonably assume that if pennsylvania isa thing, then a stripper well is an oil well.', "Whenever it is true that those that suggest if truth is the affirmation of the myths that define our world, then if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior are wrong, 'electricians have (part) nuclei' is true.", 'Some people mistakenly believe that electricians have (part) nuclei.', 'One may reasonably assume that if a stripper well is an oil well, then either researchers create the first transgenic animal, inserting a viral gene into the DNA of a mouse or circumpolar constellations are constellations that rise in the east an set in the west daily.', 'Assuming either researchers create the first transgenic animal, inserting a viral gene into the DNA of a mouse or circumpolar constellations are constellations that rise in the east an set in the west daily, we know that if if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior, then if turkey jerky is subject to rancidity, as are other smoked turkey products, then summer is also a time to challenge children with experiences out of the ordinary.']
|
Either wombats usually give birth to a single young, but twins do occur or pennsylvania isa thing. It is the case that truth is the affirmation of the myths that define our world. Should it be the case that either attitudes are an important predictor of sexual aggression in men or interposition is rare in dorsal fractures and fracture-dislocations, but common in volar injuries, it follows that if wombats usually give birth to a single young, but twins do occur, then if if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior, then if turkey jerky is subject to rancidity, as are other smoked turkey products, then summer is also a time to challenge children with experiences out of the ordinary. Either one or both of these statements are true: attitudes are an important predictor of sexual aggression in men, or interposition is rare in dorsal fractures and fracture-dislocations, but common in volar injuries. One may reasonably assume that if pennsylvania isa thing, then a stripper well is an oil well. Whenever it is true that those that suggest if truth is the affirmation of the myths that define our world, then if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior are wrong, 'electricians have (part) nuclei' is true. Some people mistakenly believe that electricians have (part) nuclei. One may reasonably assume that if a stripper well is an oil well, then either researchers create the first transgenic animal, inserting a viral gene into the DNA of a mouse or circumpolar constellations are constellations that rise in the east an set in the west daily. Assuming either researchers create the first transgenic animal, inserting a viral gene into the DNA of a mouse or circumpolar constellations are constellations that rise in the east an set in the west daily, we know that if if freedom of expression is protected in the Canadian Charter of Rights and Freedoms, then ridley sea turtles have behavior, then if turkey jerky is subject to rancidity, as are other smoked turkey products, then summer is also a time to challenge children with experiences out of the ordinary.
|
Given that turkey jerky is subject to rancidity, as are other smoked turkey products, it can be inferred that summer is also a time to challenge children with experiences out of the ordinary.
|
On the condition that turkey jerky is subject to rancidity, as are other smoked turkey products, it is definitely the case that summer is the rainy season, but showers generally occur only in the afternoon or early evening.
|
Uncertain
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (If [2], then [3].), then (If [0], then [1].).). [SC2-2]
If [6], then (If (If [2], then [3].), then (If [0], then [1].).). [SC3-2]
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If (Either [7] or [8].), then (If [5], then (If (If [2], then [3].), then (If [0], then [1].).).).
Either [7] or [8].
Therefore, If [5], then (If (If [2], then [3].), then (If [0], then [1].).)..
[SC3-2]
Hypothetical Syllogism:
If [6], then [10].
If [10], then (If (If [2], then [3].), then (If [0], then [1].).). [SC2-3]
Therefore, If [6], then (If (If [2], then [3].), then (If [0], then [1].).)..
[SC2-3]
Hypothetical Syllogism:
If [10], then (Either [11] or [12].).
If (Either [11] or [12].), then (If (If [2], then [3].), then (If [0], then [1].).).
Therefore, If [10], then (If (If [2], then [3].), then (If [0], then [1].).)..
[SC2-1]
Modus Ponens:
If [4], then (If [2], then [3].). [SC1-2]
[4]
Therefore, If [2], then [3]..
[SC1-2]
Modus Tonens:
If (Not (If [4], then (If [2], then [3].).).), then [9].
Not [9].
Therefore, If [4], then (If [2], then [3].)..
|
{0: 'Turkey jerky is subject to rancidity, as are other smoked turkey products.', 1: 'Summer is also a time to challenge children with experiences out of the ordinary.', 2: 'Freedom of expression is protected in the Canadian Charter of Rights and Freedoms.', 3: 'Ridley sea turtles have behavior.', 4: 'Truth is the affirmation of the myths that define our world.', 5: 'Wombats usually give birth to a single young, but twins do occur.', 6: 'Pennsylvania isa thing.', 7: 'Attitudes are an important predictor of sexual aggression in men.', 8: 'Interposition is rare in dorsal fractures and fracture-dislocations, but common in volar injuries.', 9: 'Electricians have (part) nuclei.', 10: 'A stripper well is an oil well.', 11: 'Researchers create the first transgenic animal, inserting a viral gene into the DNA of a mouse.', 12: 'Circumpolar constellations are constellations that rise in the east an set in the west daily.'}
| 7 |
6,786 |
["So long as some sheaths protect plants, 'most predators kill carnivores' is true.", 'There is good reason to believe that either imagination is also a form of mental involvement or optical clarity allows use with inverted microscopes.', 'Provided that imagination is also a form of mental involvement, we know that if if some sheaths protect plants, then most predators kill carnivores, then either pure vegetarians eat proper diets or either cartilage is a type of connective tissue found between the bones and joints of animals and humans or ionic minerals are of the most refined and absorbed by the body.', 'On the condition that optical clarity allows use with inverted microscopes, it is definitely the case that if if some sheaths protect plants, then most predators kill carnivores, then either pure vegetarians eat proper diets or either cartilage is a type of connective tissue found between the bones and joints of animals and humans or ionic minerals are of the most refined and absorbed by the body.', "On the condition that neurotics can be perfectly sane, it is definitely the case that if if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, then the notion that 'pure vegetarians eat proper diets' is untrue.", 'The idea that neurotics can be perfectly sane is true.', "Should it be the case that the statement, if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, does not hold, it follows that the notion that 'if film is made up of chemical grains, then cacomistles have non-retractable claws but are still very good climbers' is untrue.", 'There is good reason to believe that either either slavery is dead, but the crime of institutionalized racism still exists or sediment consists of particles of all sizes, including fine clay particles, silt, sand, and gravel or if the statement, if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, does not hold, then if film is made up of chemical grains, then cacomistles have non-retractable claws but are still very good climbers.', 'Those that suggest either slavery is dead, but the crime of institutionalized racism still exists or sediment consists of particles of all sizes, including fine clay particles, silt, sand, and gravel are wrong.']
|
So long as some sheaths protect plants, 'most predators kill carnivores' is true. There is good reason to believe that either imagination is also a form of mental involvement or optical clarity allows use with inverted microscopes. Provided that imagination is also a form of mental involvement, we know that if if some sheaths protect plants, then most predators kill carnivores, then either pure vegetarians eat proper diets or either cartilage is a type of connective tissue found between the bones and joints of animals and humans or ionic minerals are of the most refined and absorbed by the body. On the condition that optical clarity allows use with inverted microscopes, it is definitely the case that if if some sheaths protect plants, then most predators kill carnivores, then either pure vegetarians eat proper diets or either cartilage is a type of connective tissue found between the bones and joints of animals and humans or ionic minerals are of the most refined and absorbed by the body. On the condition that neurotics can be perfectly sane, it is definitely the case that if if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, then the notion that 'pure vegetarians eat proper diets' is untrue. The idea that neurotics can be perfectly sane is true. Should it be the case that the statement, if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, does not hold, it follows that the notion that 'if film is made up of chemical grains, then cacomistles have non-retractable claws but are still very good climbers' is untrue. There is good reason to believe that either either slavery is dead, but the crime of institutionalized racism still exists or sediment consists of particles of all sizes, including fine clay particles, silt, sand, and gravel or if the statement, if phosphoric acid is added to the heated crude oil to eliminate the phospholipids, then price is the way in which manufacturing resources are allocated, does not hold, then if film is made up of chemical grains, then cacomistles have non-retractable claws but are still very good climbers. Those that suggest either slavery is dead, but the crime of institutionalized racism still exists or sediment consists of particles of all sizes, including fine clay particles, silt, sand, and gravel are wrong.
|
There is good reason to believe that either cartilage is a type of connective tissue found between the bones and joints of animals and humans or ionic minerals are of the most refined and absorbed by the body.
|
It is a fact that either cartilage has structural proteins deposited in the matrix between cells or many parents automatically divide their property equally among their children.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (Either [2] or (Either [0] or [1].).). [SC1-2]
If [3], then [4].
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [3], then [4].), then (Either [2] or (Either [0] or [1].).).).
If [8], then (If (If [3], then [4].), then (Either [2] or (Either [0] or [1].).).).
Therefore, If (If [3], then [4].), then (Either [2] or (Either [0] or [1].).)..
[SC2-1]
Modus Ponens:
If (If [5], then [6].), then (Not [2].). [SC1-2]
If [5], then [6]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [11], then (If (If [5], then [6].), then (Not [2].).).
[11]
Therefore, If (If [5], then [6].), then (Not [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then (If [9], then [10].). [SC1-3]
If (Not (If [5], then [6].).), then (Not (If [9], then [10].).).
Therefore, If [5], then [6]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [12] or [13].) or (If (Not (If [5], then [6].).), then (If [9], then [10].).).
Not (Either [12] or [13].).
Therefore, If (Not (If [5], then [6].).), then (If [9], then [10].)..
|
{0: 'Cartilage is a type of connective tissue found between the bones and joints of animals and humans.', 1: 'Ionic minerals are of the most refined and absorbed by the body.', 2: 'Pure vegetarians eat proper diets.', 3: 'Some sheaths protect plants.', 4: 'Most predators kill carnivores.', 5: 'Phosphoric acid is added to the heated crude oil to eliminate the phospholipids.', 6: 'Price is the way in which manufacturing resources are allocated.', 7: 'Imagination is also a form of mental involvement.', 8: 'Optical clarity allows use with inverted microscopes.', 9: 'Film is made up of chemical grains.', 10: 'Cacomistles have non-retractable claws but are still very good climbers.', 11: 'Neurotics can be perfectly sane.', 12: 'Slavery is dead, but the crime of institutionalized racism still exists.', 13: 'Sediment consists of particles of all sizes, including fine clay particles, silt, sand, and gravel.'}
| 7 |
6,658 |
["Should it be the case that barnacles are hermaphrodites that reproduce by cross-fertilization, it follows that either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters.", 'If perennial grasses tend to be prominent in areas infested with Russian olive, then different postures enhance different aspects of our being.', 'One may reasonably assume that if different postures enhance different aspects of our being, then either barnacles are hermaphrodites that reproduce by cross-fertilization or bone densitometry is an instant snapshot of bone status.', 'Provided that we know that the claim that perennial grasses tend to be prominent in areas infested with Russian olive is false, we know that either humans may have intestines or blood is an essential substance that can come only from another human being.', "So long as we know that the claim that perennial grasses tend to be prominent in areas infested with Russian olive is false, 'it is not the case that either humans may have intestines or blood is an essential substance that can come only from another human being' is true.", "So long as some people mistakenly believe that if bone densitometry is an instant snapshot of bone status, then white men have a higher incidence than other races, 'underserved women are less likely to receive annual breast and cervical cancer screenings' is true.", "The statement that 'underserved women are less likely to receive annual breast and cervical cancer screenings' is incorrect.", "Once we know we know that the claim that if white men have a higher incidence than other races, then either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters is false, we also know that automobiles are expensive, custom-made machines that only the wealthy can afford.", 'Those that suggest automobiles are expensive, custom-made machines that only the wealthy can afford are wrong.']
|
Should it be the case that barnacles are hermaphrodites that reproduce by cross-fertilization, it follows that either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters. If perennial grasses tend to be prominent in areas infested with Russian olive, then different postures enhance different aspects of our being. One may reasonably assume that if different postures enhance different aspects of our being, then either barnacles are hermaphrodites that reproduce by cross-fertilization or bone densitometry is an instant snapshot of bone status. Provided that we know that the claim that perennial grasses tend to be prominent in areas infested with Russian olive is false, we know that either humans may have intestines or blood is an essential substance that can come only from another human being. So long as we know that the claim that perennial grasses tend to be prominent in areas infested with Russian olive is false, 'it is not the case that either humans may have intestines or blood is an essential substance that can come only from another human being' is true. So long as some people mistakenly believe that if bone densitometry is an instant snapshot of bone status, then white men have a higher incidence than other races, 'underserved women are less likely to receive annual breast and cervical cancer screenings' is true. The statement that 'underserved women are less likely to receive annual breast and cervical cancer screenings' is incorrect. Once we know we know that the claim that if white men have a higher incidence than other races, then either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters is false, we also know that automobiles are expensive, custom-made machines that only the wealthy can afford. Those that suggest automobiles are expensive, custom-made machines that only the wealthy can afford are wrong.
|
There is good reason to believe that either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters.
|
There is good reason to believe that either thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures or oil pollution occurs widely in both the nation's inland and coastal waters.
|
TRUE
|
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]
Modus Ponens:
If [5], then (Either [2] or [3].). [SC1-2]
[5] [SC2-2]
Therefore, Either [2] or [3]..
[SC1-2]
Hypothetical Syllogism:
If [5], then [8].
If [8], then (Either [2] or [3].).
Therefore, If [5], then (Either [2] or [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not [5].), then (Either [9] or [10].).
If (Not [5].), then (Not (Either [9] or [10].).).
Therefore, [5].
[SC3-1]
Hypothetical Syllogism:
If [3], then [4]. [SC1-2]
If [4], then (Either [0] or [1].). [SC2-2]
Therefore, If [3], then (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If [3], then [4].).), then [7].
Not [7].
Therefore, If [3], then [4]..
[SC2-2]
Modus Tonens:
If (Not (If [4], then (Either [0] or [1].).).), then [6].
Not [6].
Therefore, If [4], then (Either [0] or [1].)..
|
{0: 'Thunderstorms can produce heavy localized downpours and sudden dramatic drops in temperatures.', 1: "Oil pollution occurs widely in both the nation's inland and coastal waters.", 2: 'Barnacles are hermaphrodites that reproduce by cross-fertilization.', 3: 'Bone densitometry is an instant snapshot of bone status.', 4: 'White men have a higher incidence than other races.', 5: 'Perennial grasses tend to be prominent in areas infested with Russian olive.', 6: 'Automobiles are expensive, custom-made machines that only the wealthy can afford.', 7: 'Underserved women are less likely to receive annual breast and cervical cancer screenings.', 8: 'Different postures enhance different aspects of our being.', 9: 'Humans may have intestines.', 10: 'Blood is an essential substance that can come only from another human being.'}
| 7 |
6,465 |
["Whenever it is true that turtles move into coastal areas, 'sumerian literature represents some of the oldest known stories to exist' is true.", "So long as sumerian literature represents some of the oldest known stories to exist, 'tillage exposes the soil to erosion and allows moisture to escape' is true.", 'If tillage exposes the soil to erosion and allows moisture to escape, then ears are part of corn.', 'There is good reason to believe that either cancer evokes powerful negative thoughts and emotions such as fear, anger and depression or winters are much colder in middle latitude semiarid areas and deserts.', 'One may reasonably assume that if winters are much colder in middle latitude semiarid areas and deserts, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic.', 'Provided that the statement, turtles move into coastal areas, does not hold, we know that most amphibians live in terrestrial habitats.', 'Once we know the statement, turtles move into coastal areas, does not hold, we also know that the claim that most amphibians live in terrestrial habitats does not reflect reality.', 'At least one of two things is true: girls have (part) vacuoles, or traditional hair removal techniques provide temporary relief.', "Whenever it is true that girls have (part) vacuoles, 'if cancer evokes powerful negative thoughts and emotions such as fear, anger and depression, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic' is true.", "So long as traditional hair removal techniques provide temporary relief, 'if cancer evokes powerful negative thoughts and emotions such as fear, anger and depression, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic' is true."]
|
Whenever it is true that turtles move into coastal areas, 'sumerian literature represents some of the oldest known stories to exist' is true. So long as sumerian literature represents some of the oldest known stories to exist, 'tillage exposes the soil to erosion and allows moisture to escape' is true. If tillage exposes the soil to erosion and allows moisture to escape, then ears are part of corn. There is good reason to believe that either cancer evokes powerful negative thoughts and emotions such as fear, anger and depression or winters are much colder in middle latitude semiarid areas and deserts. One may reasonably assume that if winters are much colder in middle latitude semiarid areas and deserts, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic. Provided that the statement, turtles move into coastal areas, does not hold, we know that most amphibians live in terrestrial habitats. Once we know the statement, turtles move into coastal areas, does not hold, we also know that the claim that most amphibians live in terrestrial habitats does not reflect reality. At least one of two things is true: girls have (part) vacuoles, or traditional hair removal techniques provide temporary relief. Whenever it is true that girls have (part) vacuoles, 'if cancer evokes powerful negative thoughts and emotions such as fear, anger and depression, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic' is true. So long as traditional hair removal techniques provide temporary relief, 'if cancer evokes powerful negative thoughts and emotions such as fear, anger and depression, then if ears are part of corn, then most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic' is true.
|
Those that suggest most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic are right.
|
Chili powder is a seasoning.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [7].
If [7], then [3].
Therefore, If [1], then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [0].). [SC2-3]
If [6], then (If [3], then [0].).
Therefore, If [3], then [0]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (If [3], then [0].).).
If [9], then (If [5], then (If [3], then [0].).).
Therefore, If [5], then (If [3], then [0].)..
[SC2-1]
Modus Ponens:
If [2], then [1].
[2] [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [4].
If (Not [2].), then (Not [4].).
Therefore, [2].
|
{0: 'Most chili powder is made up of a combination of chilis, oregano, cumin, salt and garlic.', 1: 'Sumerian literature represents some of the oldest known stories to exist.', 2: 'Turtles move into coastal areas.', 3: 'Ears are part of corn.', 4: 'Most amphibians live in terrestrial habitats.', 5: 'Cancer evokes powerful negative thoughts and emotions such as fear, anger and depression.', 6: 'Winters are much colder in middle latitude semiarid areas and deserts.', 7: 'Tillage exposes the soil to erosion and allows moisture to escape.', 8: 'Girls have (part) vacuoles.', 9: 'Traditional hair removal techniques provide temporary relief.'}
| 7 |
6,920 |
["So long as some bones have interiors, 'either if sunflowers are on the rise both as confections and oils, then a cite is a note or ears have functions' is true.", 'some bones have interiors.', 'On the condition that treatment options show results, it is definitely the case that if if sunflowers are on the rise both as confections and oils, then a cite is a note, then most food is eaten by ill people.', "Whenever it is true that ears have functions, 'tamoxifen also blocks formation of second primary tumors in the other breast' is true.", 'On the condition that tamoxifen also blocks formation of second primary tumors in the other breast, it is definitely the case that most opossums have wide ranges.', 'Once we know pads are located in furniture, we also know that if the statement that states treatment options show results is false, then milk Provides calcium for bone strength.', 'It is rational to agree that pads are located in furniture.', "So long as the statement that 'if the statement that states treatment options show results is false, then it is a common misconception that milk Provides calcium for bone strength' is incorrect, 'anxiety is the negative expression or judgment against following one's bliss or excitement' is true.", "The statement, anxiety is the negative expression or judgment against following one's bliss or excitement, does not hold."]
|
So long as some bones have interiors, 'either if sunflowers are on the rise both as confections and oils, then a cite is a note or ears have functions' is true. some bones have interiors. On the condition that treatment options show results, it is definitely the case that if if sunflowers are on the rise both as confections and oils, then a cite is a note, then most food is eaten by ill people. Whenever it is true that ears have functions, 'tamoxifen also blocks formation of second primary tumors in the other breast' is true. On the condition that tamoxifen also blocks formation of second primary tumors in the other breast, it is definitely the case that most opossums have wide ranges. Once we know pads are located in furniture, we also know that if the statement that states treatment options show results is false, then milk Provides calcium for bone strength. It is rational to agree that pads are located in furniture. So long as the statement that 'if the statement that states treatment options show results is false, then it is a common misconception that milk Provides calcium for bone strength' is incorrect, 'anxiety is the negative expression or judgment against following one's bliss or excitement' is true. The statement, anxiety is the negative expression or judgment against following one's bliss or excitement, does not hold.
|
Either one or both of these statements are true: most food is eaten by ill people, or most opossums have wide ranges.
|
Either one or both of these statements are true: most food is eaten by ill people, or most opossums have wide ranges.
|
TRUE
|
Constructive Dilemma:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then [0]. [SC2-1]
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [6], then (Either (If [2], then [3].) or [4].).
[6]
Therefore, Either (If [2], then [3].) or [4]..
[SC2-1]
Modus Ponens:
If [5], then (If (If [2], then [3].), then [0].).
[5] [SC2-2]
Therefore, If (If [2], then [3].), then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [5].), then [8]. [SC1-3]
If (Not [5].), then (Not [8].). [SC2-3]
Therefore, [5].
[SC1-3]
Modus Ponens:
If [9], then (If (Not [5].), then [8].).
[9]
Therefore, If (Not [5].), then [8]..
[SC2-3]
Modus Tonens:
If (Not (If (Not [5].), then (Not [8].).).), then [10].
Not [10].
Therefore, If (Not [5].), then (Not [8].)..
[SC3-1]
Hypothetical Syllogism:
If [4], then [7].
If [7], then [1].
Therefore, If [4], then [1]..
|
{0: 'Most food is eaten by ill people.', 1: 'Most opossums have wide ranges.', 2: 'Sunflowers are on the rise both as confections and oils.', 3: 'A cite is a note.', 4: 'Ears have functions.', 5: 'Treatment options show results.', 6: 'Some bones have interiors.', 7: 'Tamoxifen also blocks formation of second primary tumors in the other breast.', 8: 'Milk Provides calcium for bone strength.', 9: 'Pads are located in furniture.', 10: "Anxiety is the negative expression or judgment against following one's bliss or excitement."}
| 7 |
6,038 |
['Either therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis or mulches can cover areas without having any plants, or they can combine with plants.', 'We know that either men can t stop themselves when sexually aroused or aggressive therapies are also popular in unstable coronary syndromes, despite a lack of data.', 'One may reasonably assume that if it is not true that if mulches can cover areas without having any plants, or they can combine with plants, then those that suggest some water kills fish are wrong, then male foetuses can also develop the disease, but they die at an early stage in pregnancy.', 'We know that at least one of two things is true: if most bulge eyes have thick corneas, then eye contact can result in severe burns, or irish people can legally use both forms of their names, and commonly do so.', 'One may reasonably assume that if if most bulge eyes have thick corneas, then eye contact can result in severe burns, then if men can t stop themselves when sexually aroused, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong.', 'One may reasonably assume that if irish people can legally use both forms of their names, and commonly do so, then if men can t stop themselves when sexually aroused, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong.', 'If aphids cause damage by sucking the juices from the plant, then if aggressive therapies are also popular in unstable coronary syndromes, despite a lack of data, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong.', 'It is reasonable to believe that aphids cause damage by sucking the juices from the plant.', 'We know that either most privets survive winter or most berries attract birds.', 'Once we know most berries attract birds, we also know that it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy.', 'At least one of two things is true: either some people catch dogs or biologists believe that starvation is the leading cause of death for subadult bears, or fires create more particles.', 'One may reasonably assume that if either some people catch dogs or biologists believe that starvation is the leading cause of death for subadult bears, then if most privets survive winter, then it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy.', "So long as fires create more particles, 'if most privets survive winter, then it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy' is true."]
|
Either therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis or mulches can cover areas without having any plants, or they can combine with plants. We know that either men can t stop themselves when sexually aroused or aggressive therapies are also popular in unstable coronary syndromes, despite a lack of data. One may reasonably assume that if it is not true that if mulches can cover areas without having any plants, or they can combine with plants, then those that suggest some water kills fish are wrong, then male foetuses can also develop the disease, but they die at an early stage in pregnancy. We know that at least one of two things is true: if most bulge eyes have thick corneas, then eye contact can result in severe burns, or irish people can legally use both forms of their names, and commonly do so. One may reasonably assume that if if most bulge eyes have thick corneas, then eye contact can result in severe burns, then if men can t stop themselves when sexually aroused, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong. One may reasonably assume that if irish people can legally use both forms of their names, and commonly do so, then if men can t stop themselves when sexually aroused, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong. If aphids cause damage by sucking the juices from the plant, then if aggressive therapies are also popular in unstable coronary syndromes, despite a lack of data, then if therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis, then those that suggest some water kills fish are wrong. It is reasonable to believe that aphids cause damage by sucking the juices from the plant. We know that either most privets survive winter or most berries attract birds. Once we know most berries attract birds, we also know that it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy. At least one of two things is true: either some people catch dogs or biologists believe that starvation is the leading cause of death for subadult bears, or fires create more particles. One may reasonably assume that if either some people catch dogs or biologists believe that starvation is the leading cause of death for subadult bears, then if most privets survive winter, then it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy. So long as fires create more particles, 'if most privets survive winter, then it is not true that male foetuses can also develop the disease, but they die at an early stage in pregnancy' is true.
|
Those that suggest some water kills fish are wrong.
|
It is a common misconception that water dominates in winter, wood in spring, fire in summer, metal in autumn.
|
Uncertain
|
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]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then (Not [0].).). [SC2-2]
If [4], then (If [1], then (Not [0].).). [SC3-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either (If [8], then [9].) or [10].
If (If [8], then [9].), then (If [3], then (If [1], then (Not [0].).).).
If [10], then (If [3], then (If [1], then (Not [0].).).).
Therefore, If [3], then (If [1], then (Not [0].).)..
[SC3-2]
Modus Ponens:
If [11], then (If [4], then (If [1], then (Not [0].).).).
[11]
Therefore, If [4], then (If [1], then (Not [0].).)..
[SC3-1]
Modus Tonens:
If (Not (If [2], then (Not [0].).).), then [5].
Not [5]. [SC2-2]
Therefore, If [2], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].). [SC2-3]
If [7], then (Not [5].).
Therefore, Not [5]..
[SC2-3]
Disjunction Elimination:
Either (Either [12] or [13].) or [14].
If (Either [12] or [13].), then (If [6], then (Not [5].).).
If [14], then (If [6], then (Not [5].).).
Therefore, If [6], then (Not [5].)..
|
{0: 'Some water kills fish.', 1: 'Therapists work with adults who have chronic lung problems such as emphysema and chronic bronchitis.', 2: 'Mulches can cover areas without having any plants, or they can combine with plants.', 3: 'Men can t stop themselves when sexually aroused.', 4: 'Aggressive therapies are also popular in unstable coronary syndromes, despite a lack of data.', 5: 'Male foetuses can also develop the disease, but they die at an early stage in pregnancy.', 6: 'Most privets survive winter.', 7: 'Most berries attract birds.', 8: 'Most bulge eyes have thick corneas.', 9: 'Eye contact can result in severe burns.', 10: 'Irish people can legally use both forms of their names, and commonly do so.', 11: 'Aphids cause damage by sucking the juices from the plant.', 12: 'Some people catch dogs.', 13: 'Biologists believe that starvation is the leading cause of death for subadult bears.', 14: 'Fires create more particles.'}
| 7 |
6,944 |
['On the condition that the claim that if thunder bays are cities, then many European nations hold national elections on weekends does not reflect reality, it is definitely the case that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer.', 'We know that at least one of two things is true: light is the most limiting factor in orchid culture, or foxes are prone to a variety of diseases, virtually all of which occur in domestic dogs.', 'Given that light is the most limiting factor in orchid culture, it can be inferred that either if some diets contain duckweeds, then bulls have (part) chests or the claim that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer is false.', 'Given that the claim that if foxes are prone to a variety of diseases, virtually all of which occur in domestic dogs, then either if some diets contain duckweeds, then bulls have (part) chests or the claim that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer is false has no merit, it can be inferred that radioactive chemical is injected into a vein, usually in the arm.', 'The claim that radioactive chemical is injected into a vein, usually in the arm is false.', 'We know that at least one of two things is true: most horses eat fruit, or rules are located in football games.', 'Assuming most horses eat fruit, we know that either video Surveillance can be both a deterrent and a method of capturing potential perpetrators or some people mistakenly believe that if some diets contain duckweeds, then bulls have (part) chests.', 'If rules are located in football games, then either video Surveillance can be both a deterrent and a method of capturing potential perpetrators or some people mistakenly believe that if some diets contain duckweeds, then bulls have (part) chests.', 'It is a fact that either seed suppliers provide recommendations or the statement that states video Surveillance can be both a deterrent and a method of capturing potential perpetrators is false.', 'Some people mistakenly believe that seed suppliers provide recommendations.']
|
On the condition that the claim that if thunder bays are cities, then many European nations hold national elections on weekends does not reflect reality, it is definitely the case that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer. We know that at least one of two things is true: light is the most limiting factor in orchid culture, or foxes are prone to a variety of diseases, virtually all of which occur in domestic dogs. Given that light is the most limiting factor in orchid culture, it can be inferred that either if some diets contain duckweeds, then bulls have (part) chests or the claim that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer is false. Given that the claim that if foxes are prone to a variety of diseases, virtually all of which occur in domestic dogs, then either if some diets contain duckweeds, then bulls have (part) chests or the claim that either uranium turns blue in air because it develops an oxide coating or most laboratories measure specific gravity with a refractometer is false has no merit, it can be inferred that radioactive chemical is injected into a vein, usually in the arm. The claim that radioactive chemical is injected into a vein, usually in the arm is false. We know that at least one of two things is true: most horses eat fruit, or rules are located in football games. Assuming most horses eat fruit, we know that either video Surveillance can be both a deterrent and a method of capturing potential perpetrators or some people mistakenly believe that if some diets contain duckweeds, then bulls have (part) chests. If rules are located in football games, then either video Surveillance can be both a deterrent and a method of capturing potential perpetrators or some people mistakenly believe that if some diets contain duckweeds, then bulls have (part) chests. It is a fact that either seed suppliers provide recommendations or the statement that states video Surveillance can be both a deterrent and a method of capturing potential perpetrators is false. Some people mistakenly believe that seed suppliers provide recommendations.
|
One may reasonably assume that if thunder bays are cities, then many European nations hold national elections on weekends.
|
One may reasonably assume that if thunder bays are cities, then some European nations have, in effect, decriminalized possession of small amounts.
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then (Either [2] or [3].).
Not (Either [2] or [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Not (Either [2] or [3].).). [SC1-2]
Not (If [4], then [5].). [SC2-2]
Therefore, Not (Either [2] or [3].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either (If [4], then [5].) or (Not (Either [2] or [3].).).).
If [7], then (Either (If [4], then [5].) or (Not (Either [2] or [3].).).). [SC3-3]
Therefore, Either (If [4], then [5].) or (Not (Either [2] or [3].).)..
[SC3-3]
Modus Tonens:
If (Not (If [7], then (Either (If [4], then [5].) or (Not (Either [2] or [3].).).).).), then [9].
Not [9].
Therefore, If [7], then (Either (If [4], then [5].) or (Not (Either [2] or [3].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not (If [4], then [5].).). [SC1-3]
Not [8]. [SC2-3]
Therefore, Not (If [4], then [5].)..
[SC1-3]
Disjunction Elimination:
Either [11] or [12].
If [11], then (Either [8] or (Not (If [4], then [5].).).).
If [12], then (Either [8] or (Not (If [4], then [5].).).).
Therefore, Either [8] or (Not (If [4], then [5].).)..
[SC2-3]
Disjunctive Syllogism:
Either [10] or (Not [8].).
Not [10].
Therefore, Not [8]..
|
{0: 'Thunder bays are cities.', 1: 'Many European nations hold national elections on weekends.', 2: 'Uranium turns blue in air because it develops an oxide coating.', 3: 'Most laboratories measure specific gravity with a refractometer.', 4: 'Some diets contain duckweeds.', 5: 'Bulls have (part) chests.', 6: 'Light is the most limiting factor in orchid culture.', 7: 'Foxes are prone to a variety of diseases, virtually all of which occur in domestic dogs.', 8: 'Video Surveillance can be both a deterrent and a method of capturing potential perpetrators.', 9: 'Radioactive chemical is injected into a vein, usually in the arm.', 10: 'Seed suppliers provide recommendations.', 11: 'Most horses eat fruit.', 12: 'Rules are located in football games.'}
| 7 |
6,725 |
['Once we know the statement, some plants respond to attacks, does not hold, we also know that pickup trucks have different shapes, sizes, and uses.', "One may reasonably assume that if mangroves are one of Florida's true natives, then if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then most carbon dioxide comes from waste.", 'If if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics, then if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then most carbon dioxide comes from waste.', 'We know that at least one of two things is true: if myths are narratives people use to remind themselves of what they hold to be True, and why, then animals can move in one or more different ways, or if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then it is a common misconception that most carbon dioxide comes from waste.', "The notion that 'if myths are narratives people use to remind themselves of what they hold to be True, and why, then animals can move in one or more different ways' is untrue.", 'Given that pickup trucks have different shapes, sizes, and uses, it can be inferred that japanese women enjoy the freedom to go shopping and to travel.', "When pickup trucks have different shapes, sizes, and uses is true, it follows that the statement 'japanese women enjoy the freedom to go shopping and to travel' can be considered false.", 'It is a fact that either bacteria enter digestive tracts or coherence is defined only for measurement series over time.', "One may reasonably assume that if bacteria enter digestive tracts, then either mangroves are one of Florida's true natives or if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics.", "On the condition that coherence is defined only for measurement series over time, it is definitely the case that either mangroves are one of Florida's true natives or if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics."]
|
Once we know the statement, some plants respond to attacks, does not hold, we also know that pickup trucks have different shapes, sizes, and uses. One may reasonably assume that if mangroves are one of Florida's true natives, then if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then most carbon dioxide comes from waste. If if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics, then if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then most carbon dioxide comes from waste. We know that at least one of two things is true: if myths are narratives people use to remind themselves of what they hold to be True, and why, then animals can move in one or more different ways, or if it is not true that if some plants respond to attacks, then civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom, then it is a common misconception that most carbon dioxide comes from waste. The notion that 'if myths are narratives people use to remind themselves of what they hold to be True, and why, then animals can move in one or more different ways' is untrue. Given that pickup trucks have different shapes, sizes, and uses, it can be inferred that japanese women enjoy the freedom to go shopping and to travel. When pickup trucks have different shapes, sizes, and uses is true, it follows that the statement 'japanese women enjoy the freedom to go shopping and to travel' can be considered false. It is a fact that either bacteria enter digestive tracts or coherence is defined only for measurement series over time. One may reasonably assume that if bacteria enter digestive tracts, then either mangroves are one of Florida's true natives or if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics. On the condition that coherence is defined only for measurement series over time, it is definitely the case that either mangroves are one of Florida's true natives or if big cats kill prey, then evolution is one of the important features of biological systems but is excluded from cybernetics.
|
The statement 'civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom' is true.
|
The statement 'civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom' is 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 [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-3]
If [5], then (If (Not (If [1], then [0].).), then [2].).
If (If [6], then [7].), then (If (Not (If [1], then [0].).), then [2].).
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Either [5] or (If [6], then [7].).).
If [11], then (Either [5] or (If [6], then [7].).).
Therefore, Either [5] or (If [6], then [7].)..
[SC2-2]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Not (If [1], then [0].).), then (Not [2].).).
Not (If [8], then [9].).
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3]. [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4].
If [3], then (Not [4].).
Therefore, Not [3]..
|
{0: 'Civil liberty has to do with rights to assemble, free speech, fair trials, and religious freedom.', 1: 'Some plants respond to attacks.', 2: 'Most carbon dioxide comes from waste.', 3: 'Pickup trucks have different shapes, sizes, and uses.', 4: 'Japanese women enjoy the freedom to go shopping and to travel.', 5: "Mangroves are one of Florida's true natives.", 6: 'Big cats kill prey.', 7: 'Evolution is one of the important features of biological systems but is excluded from cybernetics.', 8: 'Myths are narratives people use to remind themselves of what they hold to be True, and why.', 9: 'Animals can move in one or more different ways.', 10: 'Bacteria enter digestive tracts.', 11: 'Coherence is defined only for measurement series over time.'}
| 7 |
6,436 |
['On the condition that most rat snakes kill prey, it is definitely the case that if it is not true that freeze rain causes accumulation, then blood pressure is increased throughout all the arteries when the ventricles of the heart contract.', 'Assuming aerobic exercise is also beneficial throughout pregnancy, we know that if it is not true that freeze rain causes accumulation, then blood pressure is increased throughout all the arteries when the ventricles of the heart contract.', "Whenever it is true that blood pressure is increased throughout all the arteries when the ventricles of the heart contract, 'language is learned by direct communication' is true.", 'Should it be the case that reproduction is the biological process by which new individual organisms are produced, it follows that most rat snakes kill prey.', 'When most cold plasma has refractive indexes is true, it follows that aerobic exercise is also beneficial throughout pregnancy.', "So long as blood pressure is increased throughout all the arteries when the ventricles of the heart contract, 'some parasites undergo reproduction' is true.", 'When some parasites undergo reproduction is true, it follows that the claim that language is learned by direct communication does not correspond with reality.', 'Assuming those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, we know that either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year.', "Provided that the statement that states if those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, then the statement that 'either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year' is incorrect is false, we know that initiative isa trait.", "Provided that the statement that states if those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, then the statement that 'either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year' is incorrect is false, we know that the claim that initiative isa trait does not correspond with reality."]
|
On the condition that most rat snakes kill prey, it is definitely the case that if it is not true that freeze rain causes accumulation, then blood pressure is increased throughout all the arteries when the ventricles of the heart contract. Assuming aerobic exercise is also beneficial throughout pregnancy, we know that if it is not true that freeze rain causes accumulation, then blood pressure is increased throughout all the arteries when the ventricles of the heart contract. Whenever it is true that blood pressure is increased throughout all the arteries when the ventricles of the heart contract, 'language is learned by direct communication' is true. Should it be the case that reproduction is the biological process by which new individual organisms are produced, it follows that most rat snakes kill prey. When most cold plasma has refractive indexes is true, it follows that aerobic exercise is also beneficial throughout pregnancy. So long as blood pressure is increased throughout all the arteries when the ventricles of the heart contract, 'some parasites undergo reproduction' is true. When some parasites undergo reproduction is true, it follows that the claim that language is learned by direct communication does not correspond with reality. Assuming those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, we know that either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year. Provided that the statement that states if those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, then the statement that 'either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year' is incorrect is false, we know that initiative isa trait. Provided that the statement that states if those that suggest either reproduction is the biological process by which new individual organisms are produced or most cold plasma has refractive indexes are wrong, then the statement that 'either foreign ministers are workers or hay fever is most common in spring and fall, but some people have it all year' is incorrect is false, we know that the claim that initiative isa trait does not correspond with reality.
|
It is fair to say that freeze rain causes accumulation.
|
The statement 'freeze rain causes accumulation' can be considered false.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then [1].).
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Constructive Dilemma:
Either [6] or [7]. [SC1-3]
If [6], then [3].
If [7], then [4].
Therefore, Either [3] or [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or [7].).), then (Either [8] or [9].).
If (Not (Either [6] or [7].).), then (Not (Either [8] or [9].).). [SC2-4]
Therefore, Either [6] or [7]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If (Not (Either [6] or [7].).), then (Not (Either [8] or [9].).).).), then [10].
If (Not (If (Not (Either [6] or [7].).), then (Not (Either [8] or [9].).).).), then (Not [10].).
Therefore, If (Not (Either [6] or [7].).), then (Not (Either [8] or [9].).)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Hypothetical Syllogism:
If [1], then [5].
If [5], then (Not [2].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Freeze rain causes accumulation.', 1: 'Blood pressure is increased throughout all the arteries when the ventricles of the heart contract.', 2: 'Language is learned by direct communication.', 3: 'Most rat snakes kill prey.', 4: 'Aerobic exercise is also beneficial throughout pregnancy.', 5: 'Some parasites undergo reproduction.', 6: 'Reproduction is the biological process by which new individual organisms are produced.', 7: 'Most cold plasma has refractive indexes.', 8: 'Foreign ministers are workers.', 9: 'Hay fever is most common in spring and fall, but some people have it all year.', 10: 'Initiative isa trait.'}
| 7 |
6,140 |
['Given that legends say that wearers of turquoise are invincible to wild animals and snakes, it can be inferred that either if instructors work jobs, then a perishable is a food product or the statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false.', 'Given that if instructors work jobs, then a perishable is a food product, it can be inferred that capitalism is essentially mass production for the satisfaction of the wants of the masses.', "The statement 'gasoline accounts for nearly one-fifth of the energy consumed in the United States' can be considered false.", 'There is good reason to believe that either some retail stores carry handy devices that make everyday tasks easier or if either some people are afraid to help others or kinkajous have (part) chest cavities, then either if instructors work jobs, then a perishable is a food product or the statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false.', "The notion that 'some retail stores carry handy devices that make everyday tasks easier' is untrue.", "Whenever it is true that sunlight is the ultimate source of energy for a plant , 'if if instructors work jobs, then a perishable is a food product, then the notion that 'capitalism is essentially mass production for the satisfaction of the wants of the masses' is untrue' is true.", 'sunlight is the ultimate source of energy for a plant .', 'Provided that the claim that if the statement, either legends say that wearers of turquoise are invincible to wild animals and snakes or either some people are afraid to help others or kinkajous have (part) chest cavities, does not hold, then gasoline accounts for nearly one-fifth of the energy consumed in the United States is false, we know that mechanical systems are the very heartbeat of a building.', 'The statement that states mechanical systems are the very heartbeat of a building is false.']
|
Given that legends say that wearers of turquoise are invincible to wild animals and snakes, it can be inferred that either if instructors work jobs, then a perishable is a food product or the statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false. Given that if instructors work jobs, then a perishable is a food product, it can be inferred that capitalism is essentially mass production for the satisfaction of the wants of the masses. The statement 'gasoline accounts for nearly one-fifth of the energy consumed in the United States' can be considered false. There is good reason to believe that either some retail stores carry handy devices that make everyday tasks easier or if either some people are afraid to help others or kinkajous have (part) chest cavities, then either if instructors work jobs, then a perishable is a food product or the statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false. The notion that 'some retail stores carry handy devices that make everyday tasks easier' is untrue. Whenever it is true that sunlight is the ultimate source of energy for a plant , 'if if instructors work jobs, then a perishable is a food product, then the notion that 'capitalism is essentially mass production for the satisfaction of the wants of the masses' is untrue' is true. sunlight is the ultimate source of energy for a plant . Provided that the claim that if the statement, either legends say that wearers of turquoise are invincible to wild animals and snakes or either some people are afraid to help others or kinkajous have (part) chest cavities, does not hold, then gasoline accounts for nearly one-fifth of the energy consumed in the United States is false, we know that mechanical systems are the very heartbeat of a building. The statement that states mechanical systems are the very heartbeat of a building is false.
|
The statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false.
|
The statement that states progestins are synthetic compounds that bear some similarities to natural progesterone is false.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then (Either (If [1], then [2].) or (Not [0].).).
If (Either [5] or [6].), then (Either (If [1], then [2].) or (Not [0].).). [SC3-2]
Therefore, Either (If [1], then [2].) or (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (Either [5] or [6].).).), then [9]. [SC1-3]
Not [9].
Therefore, Either [4] or (Either [5] or [6].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (Either [4] or (Either [5] or [6].).).), then [9].).), then [10].
Not [10].
Therefore, If (Not (Either [4] or (Either [5] or [6].).).), then [9]..
[SC3-2]
Disjunctive Syllogism:
Either [8] or (If (Either [5] or [6].), then (Either (If [1], then [2].) or (Not [0].).).).
Not [8].
Therefore, If (Either [5] or [6].), then (Either (If [1], then [2].) or (Not [0].).)..
[SC2-1]
Reductio Ad Absurdum:
If (If [1], then [2].), then [3].
If (If [1], then [2].), then (Not [3].). [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [7], then (If (If [1], then [2].), then (Not [3].).).
[7]
Therefore, If (If [1], then [2].), then (Not [3].)..
|
{0: 'Progestins are synthetic compounds that bear some similarities to natural progesterone.', 1: 'Instructors work jobs.', 2: 'A perishable is a food product.', 3: 'Capitalism is essentially mass production for the satisfaction of the wants of the masses.', 4: 'Legends say that wearers of turquoise are invincible to wild animals and snakes.', 5: 'Some people are afraid to help others.', 6: 'Kinkajous have (part) chest cavities.', 7: 'Sunlight is the ultimate source of energy for a plant .', 8: 'Some retail stores carry handy devices that make everyday tasks easier.', 9: 'Gasoline accounts for nearly one-fifth of the energy consumed in the United States.', 10: 'Mechanical systems are the very heartbeat of a building.'}
| 7 |
6,818 |
['It is a fact that either many cameras provide both optical and digital zoom or cattle are mostly black and naturally polled or hornless.', 'Should it be the case that many cameras provide both optical and digital zoom, it follows that puberty can be a scary time for kids.', 'Once we know it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, we also know that we know that the claim that most howler monkeys feed on leaves is false.', "Assuming the statement, if the statement that 'if it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, then most howler monkeys feed on leaves' is incorrect, then muscle uses more energy than fat, does not hold, we know that we know that the claim that some diets consist of shoots is false.", 'Provided that muscle uses more energy than fat, we know that either different countries have different minimum wages or most rodents transmit diseases.', "So long as muscle uses more energy than fat, 'the statement that states either different countries have different minimum wages or most rodents transmit diseases is false' is true.", "The statement 'fireworks explode and give their bright colours due to very fast chemical reactions' is true.", "So long as prions are infectious proteins without genes of their own, 'if fireworks explode and give their bright colours due to very fast chemical reactions, then if the statement, if the statement that 'if it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, then most howler monkeys feed on leaves' is incorrect, then muscle uses more energy than fat, does not hold, then some diets consist of shoots' is true.", 'The claim that prions are infectious proteins without genes of their own holds true.']
|
It is a fact that either many cameras provide both optical and digital zoom or cattle are mostly black and naturally polled or hornless. Should it be the case that many cameras provide both optical and digital zoom, it follows that puberty can be a scary time for kids. Once we know it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, we also know that we know that the claim that most howler monkeys feed on leaves is false. Assuming the statement, if the statement that 'if it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, then most howler monkeys feed on leaves' is incorrect, then muscle uses more energy than fat, does not hold, we know that we know that the claim that some diets consist of shoots is false. Provided that muscle uses more energy than fat, we know that either different countries have different minimum wages or most rodents transmit diseases. So long as muscle uses more energy than fat, 'the statement that states either different countries have different minimum wages or most rodents transmit diseases is false' is true. The statement 'fireworks explode and give their bright colours due to very fast chemical reactions' is true. So long as prions are infectious proteins without genes of their own, 'if fireworks explode and give their bright colours due to very fast chemical reactions, then if the statement, if the statement that 'if it is not true that if cattle are mostly black and naturally polled or hornless, then puberty can be a scary time for kids, then most howler monkeys feed on leaves' is incorrect, then muscle uses more energy than fat, does not hold, then some diets consist of shoots' is true. The claim that prions are infectious proteins without genes of their own holds true.
|
The claim that puberty can be a scary time for kids holds true.
|
Puberty is often the cause of a hormonal surge.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [3].).
Therefore, If [2], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [0].).), then [3].).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then [5]. [SC1-4]
If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then (Not [5].).
Therefore, If (Not (If (Not (If [2], then [0].).), then [3].).), then [4]..
[SC1-4]
Modus Ponens:
If [8], then (If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then [5].). [SC1-5]
[8]
Therefore, If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then [5]..
[SC1-5]
Modus Ponens:
If [9], then (If [8], then (If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then [5].).).
[9]
Therefore, If [8], then (If (Not (If (Not (If (Not (If [2], then [0].).), then [3].).), then [4].).), then [5].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then (Either [6] or [7].).
If [4], then (Not (Either [6] or [7].).).
Therefore, Not [4]..
|
{0: 'Puberty can be a scary time for kids.', 1: 'Many cameras provide both optical and digital zoom.', 2: 'Cattle are mostly black and naturally polled or hornless.', 3: 'Most howler monkeys feed on leaves.', 4: 'Muscle uses more energy than fat.', 5: 'Some diets consist of shoots.', 6: 'Different countries have different minimum wages .', 7: 'Most rodents transmit diseases.', 8: 'Fireworks explode and give their bright colours due to very fast chemical reactions.', 9: 'Prions are infectious proteins without genes of their own.'}
| 7 |
6,602 |
['It is a fact that either hygiene helps life or balks are pitch.', 'If hygiene helps life, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality.', 'One may reasonably assume that if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then the statement, militarisation strengthens authoritarianism and reduces transparency, does not hold.', 'The claim that either cholera is caused by bacterial organisms or modern consumption leads to the elimination of cultural differences does not reflect reality.', 'We know that either most baboons have cheek pouches or if some computer languages have a power operator that raises a value to a power, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency.', 'The claim that most baboons have cheek pouches has no merit.', 'Either either spotted flycatchers prefer an even shallower, open-fronted box or facilitation is also a tool for problem-solving between disputing parties or scorpions like to live in cool, damp places like basements, wood piles, and junk piles.', "Whenever it is true that either spotted flycatchers prefer an even shallower, open-fronted box or facilitation is also a tool for problem-solving between disputing parties, 'if adaptive radiation can occur through a quite different mechanism, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency' is true.", 'On the condition that scorpions like to live in cool, damp places like basements, wood piles, and junk piles, it is definitely the case that if adaptive radiation can occur through a quite different mechanism, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency.', 'Once we know most men tend to ignore the first signs of baldness, we also know that either either cholera is caused by bacterial organisms or modern consumption leads to the elimination of cultural differences or either some computer languages have a power operator that raises a value to a power or adaptive radiation can occur through a quite different mechanism.', 'It is rational to agree that most men tend to ignore the first signs of baldness.']
|
It is a fact that either hygiene helps life or balks are pitch. If hygiene helps life, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality. One may reasonably assume that if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then the statement, militarisation strengthens authoritarianism and reduces transparency, does not hold. The claim that either cholera is caused by bacterial organisms or modern consumption leads to the elimination of cultural differences does not reflect reality. We know that either most baboons have cheek pouches or if some computer languages have a power operator that raises a value to a power, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency. The claim that most baboons have cheek pouches has no merit. Either either spotted flycatchers prefer an even shallower, open-fronted box or facilitation is also a tool for problem-solving between disputing parties or scorpions like to live in cool, damp places like basements, wood piles, and junk piles. Whenever it is true that either spotted flycatchers prefer an even shallower, open-fronted box or facilitation is also a tool for problem-solving between disputing parties, 'if adaptive radiation can occur through a quite different mechanism, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency' is true. On the condition that scorpions like to live in cool, damp places like basements, wood piles, and junk piles, it is definitely the case that if adaptive radiation can occur through a quite different mechanism, then if the claim that if balks are pitch, then the claim that oil tankers are by far the largest ships afloat does not correspond with reality is false, then militarisation strengthens authoritarianism and reduces transparency. Once we know most men tend to ignore the first signs of baldness, we also know that either either cholera is caused by bacterial organisms or modern consumption leads to the elimination of cultural differences or either some computer languages have a power operator that raises a value to a power or adaptive radiation can occur through a quite different mechanism. It is rational to agree that most men tend to ignore the first signs of baldness.
|
The claim that oil tankers are by far the largest ships afloat does not correspond with reality.
|
The idea that oil tankers are by far the largest ships afloat is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [3]. [SC1-2]
If (Not (If [2], then (Not [0].).).), then (Not [3].).
Therefore, If [2], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If (Not (If [2], then (Not [0].).).), then [3].). [SC2-3]
If [5], then (If (Not (If [2], then (Not [0].).).), then [3].). [SC3-3]
Therefore, If (Not (If [2], then (Not [0].).).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Either [4] or [5].). [SC1-4]
Not (Either [6] or [7].).
Therefore, Either [4] or [5]..
[SC1-4]
Modus Ponens:
If [12], then (Either (Either [6] or [7].) or (Either [4] or [5].).).
[12]
Therefore, Either (Either [6] or [7].) or (Either [4] or [5].)..
[SC2-3]
Disjunctive Syllogism:
Either [11] or (If [4], then (If (Not (If [2], then (Not [0].).).), then [3].).).
Not [11].
Therefore, If [4], then (If (Not (If [2], then (Not [0].).).), then [3].)..
[SC3-3]
Disjunction Elimination:
Either (Either [8] or [9].) or [10].
If (Either [8] or [9].), then (If [5], then (If (Not (If [2], then (Not [0].).).), then [3].).).
If [10], then (If [5], then (If (Not (If [2], then (Not [0].).).), then [3].).).
Therefore, If [5], then (If (Not (If [2], then (Not [0].).).), then [3].)..
|
{0: 'Oil tankers are by far the largest ships afloat.', 1: 'Hygiene helps life.', 2: 'Balks are pitch.', 3: 'Militarisation strengthens authoritarianism and reduces transparency.', 4: 'Some computer languages have a power operator that raises a value to a power.', 5: 'Adaptive radiation can occur through a quite different mechanism.', 6: 'Cholera is caused by bacterial organisms.', 7: 'Modern consumption leads to the elimination of cultural differences.', 8: 'Spotted flycatchers prefer an even shallower, open-fronted box.', 9: 'Facilitation is also a tool for problem-solving between disputing parties.', 10: 'Scorpions like to live in cool, damp places like basements, wood piles, and junk piles.', 11: 'Most baboons have cheek pouches.', 12: 'Most men tend to ignore the first signs of baldness.'}
| 7 |
6,745 |
['Provided that it is not true that monopolies exist where the state owns the firm or protects a firm from competition, we know that some hinges are part of houses.', 'Those that suggest mineralogical factors affect the biological activity of crystalline silica are right.', 'Once we know either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women, we also know that a mould is a container.', 'The claim that either pangolins can also dig insects from mounds with their claws or science can never have more than a limited understanding of the world does not reflect reality.', 'Should it be the case that the statement that states if some hinges are part of houses, then either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women is false, it follows that shale contains clay and is in small, thin layers.', 'Should it be the case that the statement that states if some hinges are part of houses, then either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women is false, it follows that the claim that shale contains clay and is in small, thin layers has no merit.', 'We know that at least one of two things is true: all cells reproduce by expanding and dividing into two, or if the statement, if mineralogical factors affect the biological activity of crystalline silica, then if it is not true that monopolies exist where the state owns the firm or protects a firm from competition, then the statement, a mould is a container, does not hold, does not hold, then either pangolins can also dig insects from mounds with their claws or science can never have more than a limited understanding of the world.', 'Some people mistakenly believe that all cells reproduce by expanding and dividing into two.']
|
Provided that it is not true that monopolies exist where the state owns the firm or protects a firm from competition, we know that some hinges are part of houses. Those that suggest mineralogical factors affect the biological activity of crystalline silica are right. Once we know either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women, we also know that a mould is a container. The claim that either pangolins can also dig insects from mounds with their claws or science can never have more than a limited understanding of the world does not reflect reality. Should it be the case that the statement that states if some hinges are part of houses, then either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women is false, it follows that shale contains clay and is in small, thin layers. Should it be the case that the statement that states if some hinges are part of houses, then either buffalo treehoppers cause severe damage or christians are nonentities in the eyes of men and women is false, it follows that the claim that shale contains clay and is in small, thin layers has no merit. We know that at least one of two things is true: all cells reproduce by expanding and dividing into two, or if the statement, if mineralogical factors affect the biological activity of crystalline silica, then if it is not true that monopolies exist where the state owns the firm or protects a firm from competition, then the statement, a mould is a container, does not hold, does not hold, then either pangolins can also dig insects from mounds with their claws or science can never have more than a limited understanding of the world. Some people mistakenly believe that all cells reproduce by expanding and dividing into two.
|
It is reasonable to believe that monopolies exist where the state owns the firm or protects a firm from competition.
|
The statement 'monopolies exist where the state owns the firm or protects a firm from competition' can be considered false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Hypothetical Syllogism:
If [3], then (Either [6] or [7].). [SC1-3]
If (Either [6] or [7].), then [1].
Therefore, If [3], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [6] or [7].).).), then [9].
If (Not (If [3], then (Either [6] or [7].).).), then (Not [9].).
Therefore, If [3], then (Either [6] or [7].)..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).). [SC1-2]
[2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then (Either [4] or [5].). [SC1-3]
Not (Either [4] or [5].).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then (Either [4] or [5].).).
Not [8].
Therefore, If (Not (If [2], then (If (Not [0].), then (Not [1].).).).), then (Either [4] or [5].)..
|
{0: 'Monopolies exist where the state owns the firm or protects a firm from competition.', 1: 'A mould is a container.', 2: 'Mineralogical factors affect the biological activity of crystalline silica.', 3: 'Some hinges are part of houses.', 4: 'Pangolins can also dig insects from mounds with their claws.', 5: 'Science can never have more than a limited understanding of the world.', 6: 'Buffalo treehoppers cause severe damage.', 7: 'Christians are nonentities in the eyes of men and women.', 8: 'All cells reproduce by expanding and dividing into two.', 9: 'Shale contains clay and is in small, thin layers.'}
| 7 |
6,471 |
['Assuming harvest is a word they use, we know that implantations are operations.', "Once we know the notion that 'either harvest is a word they use or human beings are creations of contradiction' is untrue, we also know that either gallstones form when liquid stored in the gallbladder hardens into pieces of stone-like material or teenagers have to be told that sleeping is as important as eating and breathing.", "Whenever it is true that the notion that 'either harvest is a word they use or human beings are creations of contradiction' is untrue, 'it is not the case that either gallstones form when liquid stored in the gallbladder hardens into pieces of stone-like material or teenagers have to be told that sleeping is as important as eating and breathing' is true.", 'It is a fact that either either women lose their breasts, some women end up in a wheelchair or most people can wear smooth worsted fabrics, such as woolen gabardine, comfortably next to the skin or some nitrogen stimulates growth.', 'One may reasonably assume that if either women lose their breasts, some women end up in a wheelchair or most people can wear smooth worsted fabrics, such as woolen gabardine, comfortably next to the skin, then if human beings are creations of contradiction, then some parents believe spanking is abuse.', "So long as some nitrogen stimulates growth, 'if human beings are creations of contradiction, then some parents believe spanking is abuse' is true.", 'Either many waterways receive additional pollution from sources outside of the state or snobbery is arrogance.', 'Either if citizenship is the ability to apply knowledge necessary for effective citizenship, then cats like to eat lizards just like they love mice or if many waterways receive additional pollution from sources outside of the state, then if some parents believe spanking is abuse, then implantations are operations.', "The statement that 'if citizenship is the ability to apply knowledge necessary for effective citizenship, then cats like to eat lizards just like they love mice' is incorrect.", 'At least one of two things is true: some women prefer general anesthesia because they have had it before and liked it, or children are particularly vulnerable to excessive noise, which can permanently damage hearing.', 'Assuming some women prefer general anesthesia because they have had it before and liked it, we know that if snobbery is arrogance, then if some parents believe spanking is abuse, then implantations are operations.', 'Provided that children are particularly vulnerable to excessive noise, which can permanently damage hearing, we know that if snobbery is arrogance, then if some parents believe spanking is abuse, then implantations are operations.']
|
Assuming harvest is a word they use, we know that implantations are operations. Once we know the notion that 'either harvest is a word they use or human beings are creations of contradiction' is untrue, we also know that either gallstones form when liquid stored in the gallbladder hardens into pieces of stone-like material or teenagers have to be told that sleeping is as important as eating and breathing. Whenever it is true that the notion that 'either harvest is a word they use or human beings are creations of contradiction' is untrue, 'it is not the case that either gallstones form when liquid stored in the gallbladder hardens into pieces of stone-like material or teenagers have to be told that sleeping is as important as eating and breathing' is true. It is a fact that either either women lose their breasts, some women end up in a wheelchair or most people can wear smooth worsted fabrics, such as woolen gabardine, comfortably next to the skin or some nitrogen stimulates growth. One may reasonably assume that if either women lose their breasts, some women end up in a wheelchair or most people can wear smooth worsted fabrics, such as woolen gabardine, comfortably next to the skin, then if human beings are creations of contradiction, then some parents believe spanking is abuse. So long as some nitrogen stimulates growth, 'if human beings are creations of contradiction, then some parents believe spanking is abuse' is true. Either many waterways receive additional pollution from sources outside of the state or snobbery is arrogance. Either if citizenship is the ability to apply knowledge necessary for effective citizenship, then cats like to eat lizards just like they love mice or if many waterways receive additional pollution from sources outside of the state, then if some parents believe spanking is abuse, then implantations are operations. The statement that 'if citizenship is the ability to apply knowledge necessary for effective citizenship, then cats like to eat lizards just like they love mice' is incorrect. At least one of two things is true: some women prefer general anesthesia because they have had it before and liked it, or children are particularly vulnerable to excessive noise, which can permanently damage hearing. Assuming some women prefer general anesthesia because they have had it before and liked it, we know that if snobbery is arrogance, then if some parents believe spanking is abuse, then implantations are operations. Provided that children are particularly vulnerable to excessive noise, which can permanently damage hearing, we know that if snobbery is arrogance, then if some parents believe spanking is abuse, then implantations are operations.
|
implantations are operations.
|
Implantations are operations.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then (Either [3] or [4].).
If (Not (Either [1] or [2].).), then (Not (Either [3] or [4].).).
Therefore, Either [1] or [2]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [5]. [SC1-2]
If [5], then [0]. [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Disjunction Elimination:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then (If [2], then [5].).
If [8], then (If [2], then [5].).
Therefore, If [2], then [5]..
[SC2-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [5], then [0].). [SC2-3]
If [10], then (If [5], then [0].). [SC3-3]
Therefore, If [5], then [0]..
[SC2-3]
Disjunctive Syllogism:
Either (If [11], then [12].) or (If [9], then (If [5], then [0].).).
Not (If [11], then [12].).
Therefore, If [9], then (If [5], then [0].)..
[SC3-3]
Disjunction Elimination:
Either [13] or [14].
If [13], then (If [10], then (If [5], then [0].).).
If [14], then (If [10], then (If [5], then [0].).).
Therefore, If [10], then (If [5], then [0].)..
|
{0: 'Implantations are operations.', 1: 'Harvest is a word they use.', 2: 'Human beings are creations of contradiction.', 3: 'Gallstones form when liquid stored in the gallbladder hardens into pieces of stone-like material.', 4: 'Teenagers have to be told that sleeping is as important as eating and breathing.', 5: 'Some parents believe spanking is abuse.', 6: 'Women lose their breasts, some women end up in a wheelchair.', 7: 'Most people can wear smooth worsted fabrics, such as woolen gabardine, comfortably next to the skin.', 8: 'Some nitrogen stimulates growth.', 9: 'Many waterways receive additional pollution from sources outside of the state.', 10: 'Snobbery is arrogance.', 11: 'Citizenship is the ability to apply knowledge necessary for effective citizenship.', 12: 'Cats like to eat lizards just like they love mice.', 13: 'Some women prefer general anesthesia because they have had it before and liked it.', 14: 'Children are particularly vulnerable to excessive noise, which can permanently damage hearing.'}
| 7 |
6,342 |
["On the condition that some oil comes from geranium plants, it is definitely the case that if the statement that 'if it is not the case that phenomena arise from a process of conditions and forces, then creosote bush grows throughout the Southwest and northern Mexico' is incorrect, then either predicates are arbitrary sargable predicates or most condiments contain carbohydrates.", "The statement 'some oil comes from geranium plants' can be considered true.", 'We know that at least one of two things is true: either male flies feed on nectar and pollen or homo sapiens is by far the most selfish of all species, or some people mistakenly believe that either predicates are arbitrary sargable predicates or most condiments contain carbohydrates.', 'Some people mistakenly believe that either male flies feed on nectar and pollen or homo sapiens is by far the most selfish of all species.', 'Either one or both of these statements are true: mammals seem to have been only moderately successful as terrestrial carnivores, or if some conditioners help diseases, then cliff swallows are swallows.', 'Assuming mammals seem to have been only moderately successful as terrestrial carnivores, we know that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse.', "Whenever it is true that if some conditioners help diseases, then cliff swallows are swallows, 'the claim that creosote bush grows throughout the Southwest and northern Mexico does not correspond with reality' is true.", "Whenever it is true that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse, 'animals to live happy life' is true.", "Provided that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse, we know that the notion that 'animals to live happy life' is untrue."]
|
On the condition that some oil comes from geranium plants, it is definitely the case that if the statement that 'if it is not the case that phenomena arise from a process of conditions and forces, then creosote bush grows throughout the Southwest and northern Mexico' is incorrect, then either predicates are arbitrary sargable predicates or most condiments contain carbohydrates. The statement 'some oil comes from geranium plants' can be considered true. We know that at least one of two things is true: either male flies feed on nectar and pollen or homo sapiens is by far the most selfish of all species, or some people mistakenly believe that either predicates are arbitrary sargable predicates or most condiments contain carbohydrates. Some people mistakenly believe that either male flies feed on nectar and pollen or homo sapiens is by far the most selfish of all species. Either one or both of these statements are true: mammals seem to have been only moderately successful as terrestrial carnivores, or if some conditioners help diseases, then cliff swallows are swallows. Assuming mammals seem to have been only moderately successful as terrestrial carnivores, we know that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse. Whenever it is true that if some conditioners help diseases, then cliff swallows are swallows, 'the claim that creosote bush grows throughout the Southwest and northern Mexico does not correspond with reality' is true. Whenever it is true that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse, 'animals to live happy life' is true. Provided that if canines can model behavior, then bacteria start to decay the insect, and release nutrients from the corpse, we know that the notion that 'animals to live happy life' is untrue.
|
It is fair to say that phenomena arise from a process of conditions and forces.
|
Those that suggest phenomena arise from a process of conditions and forces are wrong.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [7], then (If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].).).
[7]
Therefore, If (Not (If (Not [0].), then [1].).), then (Either [2] or [3].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [11] or [12].) or (Not (Either [2] or [3].).).
Not (Either [11] or [12].).
Therefore, Not (Either [2] or [3].)..
[SC2-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (Not [1].). [SC1-2]
Not (If [4], then [5].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Constructive Dilemma:
Either [8] or (If [9], then [10].).
If [8], then (If [4], then [5].).
If (If [9], then [10].), then (Not [1].).
Therefore, Either (If [4], then [5].) or (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (If [4], then [5].), then [6].
If (If [4], then [5].), then (Not [6].).
Therefore, Not (If [4], then [5].)..
|
{0: 'Phenomena arise from a process of conditions and forces.', 1: 'Creosote bush grows throughout the Southwest and northern Mexico.', 2: 'Predicates are arbitrary sargable predicates .', 3: 'Most condiments contain carbohydrates.', 4: 'Canines can model behavior.', 5: 'Bacteria start to decay the insect, and release nutrients from the corpse.', 6: 'Animals to live happy life.', 7: 'Some oil comes from geranium plants.', 8: 'Mammals seem to have been only moderately successful as terrestrial carnivores.', 9: 'Some conditioners help diseases.', 10: 'Cliff swallows are swallows.', 11: 'Male flies feed on nectar and pollen.', 12: 'Homo sapiens is by far the most selfish of all species.'}
| 7 |
6,416 |
['When some people mistakenly believe that pink sound contains all the tones the human ear can perceive is true, it follows that if a concert hall is a hall, then sackcloth is a coarse cloth made from goat hair.', 'Should it be the case that the claim that if some people mistakenly believe that pink sound contains all the tones the human ear can perceive, then the claim that if a concert hall is a hall, then sackcloth is a coarse cloth made from goat hair does not reflect reality has no merit, it follows that wavelets provide systematic tools for signal processing of nonlinear and time-varying systems.', "The statement that 'either african steenboks have a habit that is common among plains game antelopes or manatees inhabit coastal areas' is incorrect.", "So long as either some animals carry materials or evaluation is the process of seeing how things are going and to change the process if needed, 'puffins have (part) flight feathers' is true.", 'Either one or both of these statements are true: some animals carry materials, or evaluation is the process of seeing how things are going and to change the process if needed.', 'We know that either water is programmed to seam up correctly with other things that act like water or symptom relief is associated with improvement of quality of life.', 'Provided that water is programmed to seam up correctly with other things that act like water, we know that either african steenboks have a habit that is common among plains game antelopes or manatees inhabit coastal areas.', 'Provided that symptom relief is associated with improvement of quality of life, we know that some birds feed on snails.', 'One may reasonably assume that if some birds feed on snails, then if puffins have (part) flight feathers, then the claim that wavelets provide systematic tools for signal processing of nonlinear and time-varying systems is false.']
|
When some people mistakenly believe that pink sound contains all the tones the human ear can perceive is true, it follows that if a concert hall is a hall, then sackcloth is a coarse cloth made from goat hair. Should it be the case that the claim that if some people mistakenly believe that pink sound contains all the tones the human ear can perceive, then the claim that if a concert hall is a hall, then sackcloth is a coarse cloth made from goat hair does not reflect reality has no merit, it follows that wavelets provide systematic tools for signal processing of nonlinear and time-varying systems. The statement that 'either african steenboks have a habit that is common among plains game antelopes or manatees inhabit coastal areas' is incorrect. So long as either some animals carry materials or evaluation is the process of seeing how things are going and to change the process if needed, 'puffins have (part) flight feathers' is true. Either one or both of these statements are true: some animals carry materials, or evaluation is the process of seeing how things are going and to change the process if needed. We know that either water is programmed to seam up correctly with other things that act like water or symptom relief is associated with improvement of quality of life. Provided that water is programmed to seam up correctly with other things that act like water, we know that either african steenboks have a habit that is common among plains game antelopes or manatees inhabit coastal areas. Provided that symptom relief is associated with improvement of quality of life, we know that some birds feed on snails. One may reasonably assume that if some birds feed on snails, then if puffins have (part) flight feathers, then the claim that wavelets provide systematic tools for signal processing of nonlinear and time-varying systems is false.
|
It is a simple truth that pink sound contains all the tones the human ear can perceive.
|
It is a simple truth that pink sound contains all the tones the human ear can perceive.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].).
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC2-2]
Modus Ponens:
If [4], then (Not [3].). [SC1-3]
[4] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [4], then (Not [3].).). [SC1-4]
Not (Either [5] or [6].).
Therefore, If [4], then (Not [3].)..
[SC1-4]
Constructive Dilemma:
Either [9] or [10].
If [9], then (Either [5] or [6].).
If [10], then (If [4], then (Not [3].).). [SC3-5]
Therefore, Either (Either [5] or [6].) or (If [4], then (Not [3].).)..
[SC3-5]
Hypothetical Syllogism:
If [10], then [11].
If [11], then (If [4], then (Not [3].).).
Therefore, If [10], then (If [4], then (Not [3].).)..
[SC2-3]
Modus Ponens:
If (Either [7] or [8].), then [4].
Either [7] or [8].
Therefore, [4].
|
{0: 'Pink sound contains all the tones the human ear can perceive.', 1: 'A concert hall is a hall.', 2: 'Sackcloth is a coarse cloth made from goat hair.', 3: 'Wavelets provide systematic tools for signal processing of nonlinear and time-varying systems.', 4: 'Puffins have (part) flight feathers.', 5: 'African steenboks have a habit that is common among plains game antelopes.', 6: 'Manatees inhabit coastal areas.', 7: 'Some animals carry materials.', 8: 'Evaluation is the process of seeing how things are going and to change the process if needed.', 9: 'Water is programmed to seam up correctly with other things that act like water.', 10: 'Symptom relief is associated with improvement of quality of life.', 11: 'Some birds feed on snails.'}
| 7 |
6,711 |
["So long as the statement that states most animals develop senses is false, 'it is a common misconception that mixer is a color etching of a concrete mixing truck' is true.", "Whenever it is true that dates are located in newspapers, 'if the statement that states most animals develop senses is false, then mixer is a color etching of a concrete mixing truck' is true.", 'Should it be the case that if family rooms are used for reading, then some crabs begin reproduction, it follows that if hormones are natural substances that control normal development of all embryos and fetuses, then dates are located in newspapers.', 'On the condition that family rooms are used for reading, it is definitely the case that some crabs begin reproduction.', 'At least one of two things is true: lockboxes require the user to actively secure the handgun in the lockbox, or if the statement, hormones are natural substances that control normal development of all embryos and fetuses, does not hold, then buttercups are hard to destroy because of their tendency to inhabit moist and wet places.', 'Some people mistakenly believe that lockboxes require the user to actively secure the handgun in the lockbox.', 'Should it be the case that buttercups are hard to destroy because of their tendency to inhabit moist and wet places, it follows that some growth hormones increase food intake.', 'Once we know buttercups are hard to destroy because of their tendency to inhabit moist and wet places, we also know that it is not true that some growth hormones increase food intake.']
|
So long as the statement that states most animals develop senses is false, 'it is a common misconception that mixer is a color etching of a concrete mixing truck' is true. Whenever it is true that dates are located in newspapers, 'if the statement that states most animals develop senses is false, then mixer is a color etching of a concrete mixing truck' is true. Should it be the case that if family rooms are used for reading, then some crabs begin reproduction, it follows that if hormones are natural substances that control normal development of all embryos and fetuses, then dates are located in newspapers. On the condition that family rooms are used for reading, it is definitely the case that some crabs begin reproduction. At least one of two things is true: lockboxes require the user to actively secure the handgun in the lockbox, or if the statement, hormones are natural substances that control normal development of all embryos and fetuses, does not hold, then buttercups are hard to destroy because of their tendency to inhabit moist and wet places. Some people mistakenly believe that lockboxes require the user to actively secure the handgun in the lockbox. Should it be the case that buttercups are hard to destroy because of their tendency to inhabit moist and wet places, it follows that some growth hormones increase food intake. Once we know buttercups are hard to destroy because of their tendency to inhabit moist and wet places, we also know that it is not true that some growth hormones increase food intake.
|
The claim that most animals develop senses is true.
|
Animals are part of ecosystems.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [4]. [SC1-3]
If [4], then (If (Not [0].), then [1].).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Modus Ponens:
If (If [5], then [6].), then (If [2], then [4].).
If [5], then [6].
Therefore, If [2], then [4]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3]. [SC1-3]
Not [3]. [SC2-3]
Therefore, [2].
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not [2].), then [3].).
Not [8].
Therefore, If (Not [2].), then [3]..
[SC2-3]
Reductio Ad Absurdum:
If [3], then [7].
If [3], then (Not [7].).
Therefore, Not [3]..
|
{0: 'Most animals develop senses.', 1: 'Mixer is a color etching of a concrete mixing truck.', 2: 'Hormones are natural substances that control normal development of all embryos and fetuses.', 3: 'Buttercups are hard to destroy because of their tendency to inhabit moist and wet places.', 4: 'Dates are located in newspapers.', 5: 'Family rooms are used for reading.', 6: 'Some crabs begin reproduction.', 7: 'Some growth hormones increase food intake.', 8: 'Lockboxes require the user to actively secure the handgun in the lockbox.'}
| 7 |
6,557 |
["There is good reason to believe that either some chemicals become increasingly shock sensitive with age or the notion that 'budgets depend upon the person's income, lifestyle, and financial goals' is untrue.", "So long as uSGS maps cover rectangular areas of land called quadrangles, 'the statement, some chemicals become increasingly shock sensitive with age, does not hold' is true.", 'Provided that the claim that either organisms live in oceans or road rage exists in many forms, from mild to very extreme does not correspond with reality, we know that caregivers are often concerned about their child being labeled with a psychiatric disorder.', 'Either some relationships apply only to feeding and sleeping orders or if organisms live in oceans, then uSGS maps cover rectangular areas of land called quadrangles.', 'The claim that some relationships apply only to feeding and sleeping orders does not reflect reality.', 'We know that at least one of two things is true: reason is defined as a basis or cause for some belief or action, or dolphins often prey on ill or old fish.', 'When reason is defined as a basis or cause for some belief or action is true, it follows that if road rage exists in many forms, from mild to very extreme, then uSGS maps cover rectangular areas of land called quadrangles.', 'If dolphins often prey on ill or old fish, then if road rage exists in many forms, from mild to very extreme, then uSGS maps cover rectangular areas of land called quadrangles.', 'Given that caregivers are often concerned about their child being labeled with a psychiatric disorder, it can be inferred that if all fragrances change as they are absorbed by the body, then humans live in the realm of materiality.', 'One may reasonably assume that if caregivers are often concerned about their child being labeled with a psychiatric disorder, then some people mistakenly believe that if all fragrances change as they are absorbed by the body, then humans live in the realm of materiality.']
|
There is good reason to believe that either some chemicals become increasingly shock sensitive with age or the notion that 'budgets depend upon the person's income, lifestyle, and financial goals' is untrue. So long as uSGS maps cover rectangular areas of land called quadrangles, 'the statement, some chemicals become increasingly shock sensitive with age, does not hold' is true. Provided that the claim that either organisms live in oceans or road rage exists in many forms, from mild to very extreme does not correspond with reality, we know that caregivers are often concerned about their child being labeled with a psychiatric disorder. Either some relationships apply only to feeding and sleeping orders or if organisms live in oceans, then uSGS maps cover rectangular areas of land called quadrangles. The claim that some relationships apply only to feeding and sleeping orders does not reflect reality. We know that at least one of two things is true: reason is defined as a basis or cause for some belief or action, or dolphins often prey on ill or old fish. When reason is defined as a basis or cause for some belief or action is true, it follows that if road rage exists in many forms, from mild to very extreme, then uSGS maps cover rectangular areas of land called quadrangles. If dolphins often prey on ill or old fish, then if road rage exists in many forms, from mild to very extreme, then uSGS maps cover rectangular areas of land called quadrangles. Given that caregivers are often concerned about their child being labeled with a psychiatric disorder, it can be inferred that if all fragrances change as they are absorbed by the body, then humans live in the realm of materiality. One may reasonably assume that if caregivers are often concerned about their child being labeled with a psychiatric disorder, then some people mistakenly believe that if all fragrances change as they are absorbed by the body, then humans live in the realm of materiality.
|
The notion that 'budgets depend upon the person's income, lifestyle, and financial goals' is untrue.
|
It is fair to say that budgets depend upon the person's income, lifestyle, and financial goals.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then [2]. [SC2-3]
If [4], then [2]. [SC3-3]
Therefore, [2].
[SC1-3]
Modus Tonens:
If (Not (Either [3] or [4].).), then [8].
Not [8]. [SC2-4]
Therefore, Either [3] or [4]..
[SC2-4]
Reductio Ad Absurdum:
If [8], then (If [9], then [10].).
If [8], then (Not (If [9], then [10].).).
Therefore, Not [8]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (If [3], then [2].).
Not [5].
Therefore, If [3], then [2]..
[SC3-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [4], then [2].).
If [7], then (If [4], then [2].).
Therefore, If [4], then [2]..
|
{0: "Budgets depend upon the person's income, lifestyle, and financial goals.", 1: 'Some chemicals become increasingly shock sensitive with age.', 2: 'USGS maps cover rectangular areas of land called quadrangles.', 3: 'Organisms live in oceans.', 4: 'Road rage exists in many forms, from mild to very extreme.', 5: 'Some relationships apply only to feeding and sleeping orders.', 6: 'Reason is defined as a basis or cause for some belief or action.', 7: 'Dolphins often prey on ill or old fish.', 8: 'Caregivers are often concerned about their child being labeled with a psychiatric disorder.', 9: 'All fragrances change as they are absorbed by the body.', 10: 'Humans live in the realm of materiality.'}
| 7 |
6,050 |
['It is fair to say that books offer helpful suggestions.', 'It is rational to believe that either if some substances kill animals, then myths also have a descriptive function, explaining facts beyond normal reason and observation or if books offer helpful suggestions, then the statement, some species devour dead fishes and other putrifying animal matters with avidity, does not hold.', 'Given that modern jewellery tends to be silver rather than brass, with turquoise the main gemstone, it can be inferred that the claim that if some substances kill animals, then myths also have a descriptive function, explaining facts beyond normal reason and observation is false.', 'It is a fact that either air pollution is one of the more obvious forms of pollution or if faith is knowledge in action, then recognition comes from matching the visual symbol with a memory, or experience, stored in our brain.', "Assuming air pollution is one of the more obvious forms of pollution, we know that if freedom of association requires the right to say 'no' and to refuse to associate, then modern jewellery tends to be silver rather than brass, with turquoise the main gemstone.", "Assuming if faith is knowledge in action, then recognition comes from matching the visual symbol with a memory, or experience, stored in our brain, we know that if freedom of association requires the right to say 'no' and to refuse to associate, then modern jewellery tends to be silver rather than brass, with turquoise the main gemstone.", 'Either indian nations vary widely in language, culture and physical geography or if lactic acid has two enantiomers, then goldenrods are easy to grow when planted in good garden soil in full sun.', "So long as if lactic acid has two enantiomers, then goldenrods are easy to grow when planted in good garden soil in full sun, 'freedom of association requires the right to say 'no' and to refuse to associate' is true.", "One may reasonably assume that if weed control is necessary to make an infested water body useable for transportation and recreation, then if indian nations vary widely in language, culture and physical geography, then freedom of association requires the right to say 'no' and to refuse to associate.", 'It is true that weed control is necessary to make an infested water body useable for transportation and recreation.']
|
It is fair to say that books offer helpful suggestions. It is rational to believe that either if some substances kill animals, then myths also have a descriptive function, explaining facts beyond normal reason and observation or if books offer helpful suggestions, then the statement, some species devour dead fishes and other putrifying animal matters with avidity, does not hold. Given that modern jewellery tends to be silver rather than brass, with turquoise the main gemstone, it can be inferred that the claim that if some substances kill animals, then myths also have a descriptive function, explaining facts beyond normal reason and observation is false. It is a fact that either air pollution is one of the more obvious forms of pollution or if faith is knowledge in action, then recognition comes from matching the visual symbol with a memory, or experience, stored in our brain. Assuming air pollution is one of the more obvious forms of pollution, we know that if freedom of association requires the right to say 'no' and to refuse to associate, then modern jewellery tends to be silver rather than brass, with turquoise the main gemstone. Assuming if faith is knowledge in action, then recognition comes from matching the visual symbol with a memory, or experience, stored in our brain, we know that if freedom of association requires the right to say 'no' and to refuse to associate, then modern jewellery tends to be silver rather than brass, with turquoise the main gemstone. Either indian nations vary widely in language, culture and physical geography or if lactic acid has two enantiomers, then goldenrods are easy to grow when planted in good garden soil in full sun. So long as if lactic acid has two enantiomers, then goldenrods are easy to grow when planted in good garden soil in full sun, 'freedom of association requires the right to say 'no' and to refuse to associate' is true. One may reasonably assume that if weed control is necessary to make an infested water body useable for transportation and recreation, then if indian nations vary widely in language, culture and physical geography, then freedom of association requires the right to say 'no' and to refuse to associate. It is true that weed control is necessary to make an infested water body useable for transportation and recreation.
|
The statement, some species devour dead fishes and other putrifying animal matters with avidity, does not hold.
|
It is reasonable to believe that some species devour dead fishes and other putrifying animal matters with avidity.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [1], then (Not [0].).).
Not (If [2], then [3].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Modus Ponens:
If [4], then (Not (If [2], then [3].).).
[4] [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC2-3]
Modus Ponens:
If [5], then [4]. [SC1-4]
[5] [SC2-4]
Therefore, [4].
[SC1-4]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [5], then [4].).
If (If [7], then [8].), then (If [5], then [4].).
Therefore, If [5], then [4]..
[SC2-4]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then [5]. [SC2-5]
If (If [10], then [11].), then [5].
Therefore, [5].
[SC2-5]
Modus Ponens:
If [12], then (If [9], then [5].).
[12]
Therefore, If [9], then [5]..
|
{0: 'Some species devour dead fishes and other putrifying animal matters with avidity.', 1: 'Books offer helpful suggestions.', 2: 'Some substances kill animals.', 3: 'Myths also have a descriptive function, explaining facts beyond normal reason and observation.', 4: 'Modern jewellery tends to be silver rather than brass, with turquoise the main gemstone.', 5: "Freedom of association requires the right to say 'no' and to refuse to associate.", 6: 'Air pollution is one of the more obvious forms of pollution.', 7: 'Faith is knowledge in action.', 8: 'Recognition comes from matching the visual symbol with a memory, or experience, stored in our brain.', 9: 'Indian nations vary widely in language, culture and physical geography.', 10: 'Lactic acid has two enantiomers.', 11: 'Goldenrods are easy to grow when planted in good garden soil in full sun.', 12: 'Weed control is necessary to make an infested water body useable for transportation and recreation.'}
| 7 |
6,162 |
['hunter syndromes depend on severity.', "So long as those that suggest if maps use colors to represent different features, then if hunter syndromes depend on severity, then assumptions have (part) language units are wrong, 'men have always and continue to look for fertility, as signified by physical attributes in women' is true.", "So long as it is a common misconception that maps use colors to represent different features, 'sugar is an absolutely necessary ingredient in the chemical reaction of baking' is true.", 'Once we know men have always and continue to look for fertility, as signified by physical attributes in women, we also know that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation.', 'Once we know sugar is an absolutely necessary ingredient in the chemical reaction of baking, we also know that either axes have (part) ax handles or most teapots fill with water.', 'We know that the claim that either axes have (part) ax handles or most teapots fill with water is false.', "So long as the statement that states if men have always and continue to look for fertility, as signified by physical attributes in women, then we know that the claim that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation is false is false, 'children learn best to walk when barefoot' is true.", 'Given that the statement that states if men have always and continue to look for fertility, as signified by physical attributes in women, then we know that the claim that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation is false is false, it can be inferred that the statement, children learn best to walk when barefoot, does not hold.']
|
hunter syndromes depend on severity. So long as those that suggest if maps use colors to represent different features, then if hunter syndromes depend on severity, then assumptions have (part) language units are wrong, 'men have always and continue to look for fertility, as signified by physical attributes in women' is true. So long as it is a common misconception that maps use colors to represent different features, 'sugar is an absolutely necessary ingredient in the chemical reaction of baking' is true. Once we know men have always and continue to look for fertility, as signified by physical attributes in women, we also know that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation. Once we know sugar is an absolutely necessary ingredient in the chemical reaction of baking, we also know that either axes have (part) ax handles or most teapots fill with water. We know that the claim that either axes have (part) ax handles or most teapots fill with water is false. So long as the statement that states if men have always and continue to look for fertility, as signified by physical attributes in women, then we know that the claim that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation is false is false, 'children learn best to walk when barefoot' is true. Given that the statement that states if men have always and continue to look for fertility, as signified by physical attributes in women, then we know that the claim that if stairways are a necessary evil, second only to bathrooms in incidence of accidents, then schistosomiasises are infestation is false is false, it can be inferred that the statement, children learn best to walk when barefoot, does not hold.
|
It is a simple truth that assumptions have (part) language units.
|
It is not true that assumptions have (part) language units.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [2], then (If [1], then [0].).).), then [4].
Not [4]. [SC2-3]
Therefore, If [2], then (If [1], then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then (If [5], then [6].).
If [4], then (Not (If [5], then [6].).). [SC2-4]
Therefore, Not [4]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [4], then (Not (If [5], then [6].).).).), then [9].
If (Not (If [4], then (Not (If [5], then [6].).).).), then (Not [9].).
Therefore, If [4], then (Not (If [5], then [6].).)..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3].
Not [3]. [SC2-3]
Therefore, [2].
[SC2-3]
Modus Tonens:
If [3], then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, Not [3]..
|
{0: 'Assumptions have (part) language units.', 1: 'Hunter syndromes depend on severity.', 2: 'Maps use colors to represent different features.', 3: 'Sugar is an absolutely necessary ingredient in the chemical reaction of baking.', 4: 'Men have always and continue to look for fertility, as signified by physical attributes in women.', 5: 'Stairways are a necessary evil, second only to bathrooms in incidence of accidents.', 6: 'Schistosomiasises are infestation.', 7: 'Axes have (part) ax handles.', 8: 'Most teapots fill with water.', 9: 'Children learn best to walk when barefoot.'}
| 7 |
6,765 |
['Given that if tests to evaluate normal functions, then some groups have work which automatically confines their attention to mental levels, it can be inferred that if if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts, then if kalua pig is baked underground, then leaves also use veins to export sugar to roots and other nonphotosynthetic parts of the plant.', 'Should it be the case that tests to evaluate normal functions, it follows that some groups have work which automatically confines their attention to mental levels.', 'We know that either aborigines use the term to define the sacred, earthly and ethical order of the cosmos or enzymes break down fiber and starches to sugar to provide food for acid-producing ensiling bacteria.', 'Given that aborigines use the term to define the sacred, earthly and ethical order of the cosmos, it can be inferred that if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts.', "So long as enzymes break down fiber and starches to sugar to provide food for acid-producing ensiling bacteria, 'if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts' is true.", 'Either most lampreys use mouths or if those that suggest kalua pig is baked underground are wrong, then some animals share reefs.', 'It is not the case that most lampreys use mouths.', "It is rational to believe that either fuel releases heat or the statement that 'some animals share reefs' is incorrect.", 'Some people mistakenly believe that fuel releases heat.']
|
Given that if tests to evaluate normal functions, then some groups have work which automatically confines their attention to mental levels, it can be inferred that if if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts, then if kalua pig is baked underground, then leaves also use veins to export sugar to roots and other nonphotosynthetic parts of the plant. Should it be the case that tests to evaluate normal functions, it follows that some groups have work which automatically confines their attention to mental levels. We know that either aborigines use the term to define the sacred, earthly and ethical order of the cosmos or enzymes break down fiber and starches to sugar to provide food for acid-producing ensiling bacteria. Given that aborigines use the term to define the sacred, earthly and ethical order of the cosmos, it can be inferred that if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts. So long as enzymes break down fiber and starches to sugar to provide food for acid-producing ensiling bacteria, 'if most atoms have elements, then enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts' is true. Either most lampreys use mouths or if those that suggest kalua pig is baked underground are wrong, then some animals share reefs. It is not the case that most lampreys use mouths. It is rational to believe that either fuel releases heat or the statement that 'some animals share reefs' is incorrect. Some people mistakenly believe that fuel releases heat.
|
Many people rightly believe that leaves also use veins to export sugar to roots and other nonphotosynthetic parts of the plant.
|
The statement 'leaves also use veins to export sugar to roots and other nonphotosynthetic parts of the plant' can be considered false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If [1], then [0].). [SC1-2]
If [3], then [4]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (If [9], then [10].), then (If (If [3], then [4].), then (If [1], then [0].).).
If [9], then [10].
Therefore, If (If [3], then [4].), then (If [1], then [0].)..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then [4].).
If [7], then (If [3], then [4].).
Therefore, If [3], then [4]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not [1].), then [2].).
Not [5].
Therefore, If (Not [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [2].).
Not [8].
Therefore, Not [2]..
|
{0: 'Leaves also use veins to export sugar to roots and other nonphotosynthetic parts of the plant.', 1: 'Kalua pig is baked underground.', 2: 'Some animals share reefs.', 3: 'Most atoms have elements.', 4: 'Enzymes are proteins folded up like knobbly potatoes with a distinctive pattern of folds and clefts.', 5: 'Most lampreys use mouths.', 6: 'Aborigines use the term to define the sacred, earthly and ethical order of the cosmos.', 7: 'Enzymes break down fiber and starches to sugar to provide food for acid-producing ensiling bacteria.', 8: 'Fuel releases heat.', 9: 'Tests to evaluate normal functions.', 10: 'Some groups have work which automatically confines their attention to mental levels.'}
| 7 |
6,856 |
['We can assume that vocal music is music.', "So long as computers are fond of numbers, so they use numbers to refer to each other, 'if vocal music is music, then if the claim that geographers are interested in the concept of mental maps and how they are developed is false, then orison is a request' is true.", 'Given that some people dream in color, it can be inferred that if vocal music is music, then if the claim that geographers are interested in the concept of mental maps and how they are developed is false, then orison is a request.', 'On the condition that orison is a request, it is definitely the case that solitary animals lead existence.', 'When solitary animals lead existence is true, it follows that regions have channels.', 'Should it be the case that regions have channels, it follows that embryology is a study of how cells in the embryo of various organisms decide their fates.', "The notion that 'embryology is a study of how cells in the embryo of various organisms decide their fates' is untrue.", 'On the condition that the claim that either computers are fond of numbers, so they use numbers to refer to each other or some people dream in color has no merit, it is definitely the case that either most wolves have diets or rabbits hide in habitats.', 'Assuming the claim that either computers are fond of numbers, so they use numbers to refer to each other or some people dream in color has no merit, we know that the claim that either most wolves have diets or rabbits hide in habitats does not correspond with reality.']
|
We can assume that vocal music is music. So long as computers are fond of numbers, so they use numbers to refer to each other, 'if vocal music is music, then if the claim that geographers are interested in the concept of mental maps and how they are developed is false, then orison is a request' is true. Given that some people dream in color, it can be inferred that if vocal music is music, then if the claim that geographers are interested in the concept of mental maps and how they are developed is false, then orison is a request. On the condition that orison is a request, it is definitely the case that solitary animals lead existence. When solitary animals lead existence is true, it follows that regions have channels. Should it be the case that regions have channels, it follows that embryology is a study of how cells in the embryo of various organisms decide their fates. The notion that 'embryology is a study of how cells in the embryo of various organisms decide their fates' is untrue. On the condition that the claim that either computers are fond of numbers, so they use numbers to refer to each other or some people dream in color has no merit, it is definitely the case that either most wolves have diets or rabbits hide in habitats. Assuming the claim that either computers are fond of numbers, so they use numbers to refer to each other or some people dream in color has no merit, we know that the claim that either most wolves have diets or rabbits hide in habitats does not correspond with reality.
|
It is reasonable to believe that geographers are interested in the concept of mental maps and how they are developed.
|
It is reasonable to believe that geographers are interested in the concept of mental maps and how they are developed.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [2], then (If (Not [0].), then [1].).).
If [6], then (If [2], then (If (Not [0].), then [1].).).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or [6].).), then (Either [8] or [9].).
If (Not (Either [5] or [6].).), then (Not (Either [8] or [9].).).
Therefore, Either [5] or [6]..
[SC2-1]
Modus Tonens:
If [1], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [4].
If [4], then [3].
Therefore, If [1], then [3]..
[SC2-2]
Modus Tonens:
If [3], then [7].
Not [7].
Therefore, Not [3]..
|
{0: 'Geographers are interested in the concept of mental maps and how they are developed.', 1: 'Orison is a request.', 2: 'Vocal music is music.', 3: 'Regions have channels.', 4: 'Solitary animals lead existence.', 5: 'Computers are fond of numbers, so they use numbers to refer to each other.', 6: 'Some people dream in color.', 7: 'Embryology is a study of how cells in the embryo of various organisms decide their fates.', 8: 'Most wolves have diets.', 9: 'Rabbits hide in habitats.'}
| 7 |
6,867 |
['Either lipoproteins carry triglyceride fats and cholesterol in the blood or most shells contain iron oxide.', "So long as the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, 'the statement that 'vines are another adaptation for living in the upper layers of the tropical forest' is incorrect' is true.", 'It is a fact that either domestic service is a common form of employment for black-Colombian women and children or ants like to farm aphids, whitefly, scale, and mealybug.', 'When domestic service is a common form of employment for black-Colombian women and children is true, it follows that it is not true that zygotes are cells.', 'When ants like to farm aphids, whitefly, scale, and mealybug is true, it follows that it is not true that zygotes are cells.', "On the condition that we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, it is definitely the case that the claim that thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false.", 'Either one or both of these statements are true: organic food is subject to the same the costs of non-organic food, or a scratchpad is memory.', "Assuming organic food is subject to the same the costs of non-organic food, we know that if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements.", "Assuming we know that the claim that if a scratchpad is memory, then if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false, we know that duration is the average maturity of the fund.", "Whenever it is true that we know that the claim that if a scratchpad is memory, then if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false, 'the claim that duration is the average maturity of the fund does not reflect reality' is true."]
|
Either lipoproteins carry triglyceride fats and cholesterol in the blood or most shells contain iron oxide. So long as the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, 'the statement that 'vines are another adaptation for living in the upper layers of the tropical forest' is incorrect' is true. It is a fact that either domestic service is a common form of employment for black-Colombian women and children or ants like to farm aphids, whitefly, scale, and mealybug. When domestic service is a common form of employment for black-Colombian women and children is true, it follows that it is not true that zygotes are cells. When ants like to farm aphids, whitefly, scale, and mealybug is true, it follows that it is not true that zygotes are cells. On the condition that we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, it is definitely the case that the claim that thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false. Either one or both of these statements are true: organic food is subject to the same the costs of non-organic food, or a scratchpad is memory. Assuming organic food is subject to the same the costs of non-organic food, we know that if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements. Assuming we know that the claim that if a scratchpad is memory, then if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false, we know that duration is the average maturity of the fund. Whenever it is true that we know that the claim that if a scratchpad is memory, then if we know that the claim that if the notion that 'either zygotes are cells or the notion that 'lipoproteins carry triglyceride fats and cholesterol in the blood' is untrue' is untrue, then vines are another adaptation for living in the upper layers of the tropical forest is false, then thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements is false, 'the claim that duration is the average maturity of the fund does not reflect reality' is true.
|
It is reasonable to believe that most shells contain iron oxide.
|
The notion that 'most shells contain iron oxide' is untrue.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (Not [1].).).), then [5]. [SC1-3]
If (Not (Either [2] or (Not [1].).).), then (Not [5].).
Therefore, Either [2] or (Not [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6]. [SC1-4]
If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then (Not [6].).
Therefore, If (Not (Either [2] or (Not [1].).).), then [5]..
[SC1-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6].).
If [8], then (If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6].). [SC3-5]
Therefore, If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6]..
[SC3-5]
Reductio Ad Absurdum:
If (Not (If [8], then (If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6].).).), then [9].
If (Not (If [8], then (If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6].).).), then (Not [9].).
Therefore, If [8], then (If (Not (If (Not (Either [2] or (Not [1].).).), then [5].).), then [6].)..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Most shells contain iron oxide.', 1: 'Lipoproteins carry triglyceride fats and cholesterol in the blood.', 2: 'Zygotes are cells.', 3: 'Domestic service is a common form of employment for black-Colombian women and children.', 4: 'Ants like to farm aphids, whitefly, scale, and mealybug.', 5: 'Vines are another adaptation for living in the upper layers of the tropical forest.', 6: 'Thorium hydroxide is dissolved in an inorganic acid and then purified from the rare earth elements.', 7: 'Organic food is subject to the same the costs of non-organic food.', 8: 'A scratchpad is memory.', 9: 'Duration is the average maturity of the fund.'}
| 7 |
6,524 |
["The statement 'some individuals live in cages' can be considered false.", "On the condition that the notion that 'if the claim that if transformation is a change in form of a pollutant within a compartment, then either loneliness can be traumatic or hate mongers are the earth s true devils is false, then peace is synonymous with integral human development' is untrue, it is definitely the case that if some nerves connect cord, then communications is human nature.", 'The claim that if some nerves connect cord, then communications is human nature does not reflect reality.', 'Given that peace is synonymous with integral human development, it can be inferred that either lightning helps the earth maintain an electrical balance or castles allow nobles to rule over land and collect taxes from the native population.', "The statement that 'either lightning helps the earth maintain an electrical balance or castles allow nobles to rule over land and collect taxes from the native population' is incorrect.", 'If those that suggest either some individuals live in cages or transformation is a change in form of a pollutant within a compartment are wrong, then tobacco is a stimulant that makes the heart race and blood pressure rise.', "Should it be the case that the statement that 'if those that suggest either some individuals live in cages or transformation is a change in form of a pollutant within a compartment are wrong, then the statement that states tobacco is a stimulant that makes the heart race and blood pressure rise is false' is incorrect, it follows that an occipital lobe is a lobe.", 'Those that suggest an occipital lobe is a lobe are wrong.']
|
The statement 'some individuals live in cages' can be considered false. On the condition that the notion that 'if the claim that if transformation is a change in form of a pollutant within a compartment, then either loneliness can be traumatic or hate mongers are the earth s true devils is false, then peace is synonymous with integral human development' is untrue, it is definitely the case that if some nerves connect cord, then communications is human nature. The claim that if some nerves connect cord, then communications is human nature does not reflect reality. Given that peace is synonymous with integral human development, it can be inferred that either lightning helps the earth maintain an electrical balance or castles allow nobles to rule over land and collect taxes from the native population. The statement that 'either lightning helps the earth maintain an electrical balance or castles allow nobles to rule over land and collect taxes from the native population' is incorrect. If those that suggest either some individuals live in cages or transformation is a change in form of a pollutant within a compartment are wrong, then tobacco is a stimulant that makes the heart race and blood pressure rise. Should it be the case that the statement that 'if those that suggest either some individuals live in cages or transformation is a change in form of a pollutant within a compartment are wrong, then the statement that states tobacco is a stimulant that makes the heart race and blood pressure rise is false' is incorrect, it follows that an occipital lobe is a lobe. Those that suggest an occipital lobe is a lobe are wrong.
|
Either loneliness can be traumatic or hate mongers are the earth s true devils.
|
The statement that states either loneliness can be traumatic or hate mongers are the earth s true devils is false.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (Either [0] or [1].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [3].).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [3]..
[SC2-2]
Modus Tonens:
If [3], then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Not [3]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or [2]. [SC1-2]
Not [4].
Therefore, [2].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [2].).), then [5].
If (Not (Either [4] or [2].).), then (Not [5].). [SC2-3]
Therefore, Either [4] or [2]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (Either [4] or [2].).), then (Not [5].).).), then [10].
Not [10].
Therefore, If (Not (Either [4] or [2].).), then (Not [5].)..
|
{0: 'Loneliness can be traumatic.', 1: 'Hate mongers are the earth s true devils.', 2: 'Transformation is a change in form of a pollutant within a compartment.', 3: 'Peace is synonymous with integral human development.', 4: 'Some individuals live in cages.', 5: 'Tobacco is a stimulant that makes the heart race and blood pressure rise.', 6: 'Some nerves connect cord.', 7: 'Communications is human nature.', 8: 'Lightning helps the earth maintain an electrical balance.', 9: 'Castles allow nobles to rule over land and collect taxes from the native population.', 10: 'An occipital lobe is a lobe.'}
| 7 |
6,443 |
["It is fair to say that seabirds have (part) bird's feet.", 'We know that either follow tables provide information or if justice is indiscriminately due to all, without regard to numbers, wealth, or rank, then antioxidant xanthophylls contain an -OH group.', "Provided that follow tables provide information, we know that the statement 'wood forms the circulatory and support system in trees' can be considered false.", "Provided that if justice is indiscriminately due to all, without regard to numbers, wealth, or rank, then antioxidant xanthophylls contain an -OH group, we know that the statement 'wood forms the circulatory and support system in trees' can be considered false.", 'We know that either if individuals have (part) plasma membranes, then xerophyte is a kind of plants adapted in desert habitat or either most clams excrete anchor filament or science is a never-ending search for truth.', 'The claim that if individuals have (part) plasma membranes, then xerophyte is a kind of plants adapted in desert habitat does not reflect reality.', "We know that at least one of two things is true: asbestos is the name given to a group of fibrous minerals, or if most clams excrete anchor filament, then if seabirds have (part) bird's feet, then either wood forms the circulatory and support system in trees or if aggression is necessary because of competition of food, then most water lilies thrive in environments.", 'It is not the case that asbestos is the name given to a group of fibrous minerals.', "Assuming if extrinsic values are partly factual, but intrinsic values are independent of facts, then liquid capacity is the tank volume below the outlet, we know that if science is a never-ending search for truth, then if seabirds have (part) bird's feet, then either wood forms the circulatory and support system in trees or if aggression is necessary because of competition of food, then most water lilies thrive in environments.", 'If extrinsic values are partly factual, but intrinsic values are independent of facts, then liquid capacity is the tank volume below the outlet.']
|
It is fair to say that seabirds have (part) bird's feet. We know that either follow tables provide information or if justice is indiscriminately due to all, without regard to numbers, wealth, or rank, then antioxidant xanthophylls contain an -OH group. Provided that follow tables provide information, we know that the statement 'wood forms the circulatory and support system in trees' can be considered false. Provided that if justice is indiscriminately due to all, without regard to numbers, wealth, or rank, then antioxidant xanthophylls contain an -OH group, we know that the statement 'wood forms the circulatory and support system in trees' can be considered false. We know that either if individuals have (part) plasma membranes, then xerophyte is a kind of plants adapted in desert habitat or either most clams excrete anchor filament or science is a never-ending search for truth. The claim that if individuals have (part) plasma membranes, then xerophyte is a kind of plants adapted in desert habitat does not reflect reality. We know that at least one of two things is true: asbestos is the name given to a group of fibrous minerals, or if most clams excrete anchor filament, then if seabirds have (part) bird's feet, then either wood forms the circulatory and support system in trees or if aggression is necessary because of competition of food, then most water lilies thrive in environments. It is not the case that asbestos is the name given to a group of fibrous minerals. Assuming if extrinsic values are partly factual, but intrinsic values are independent of facts, then liquid capacity is the tank volume below the outlet, we know that if science is a never-ending search for truth, then if seabirds have (part) bird's feet, then either wood forms the circulatory and support system in trees or if aggression is necessary because of competition of food, then most water lilies thrive in environments. If extrinsic values are partly factual, but intrinsic values are independent of facts, then liquid capacity is the tank volume below the outlet.
|
Should it be the case that aggression is necessary because of competition of food, it follows that most water lilies thrive in environments.
|
Should it be the case that aggression is necessary because of competition of food, it follows that water lilies float on the surface, while goldfish swim lazily beneath, adding glints of orange.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [6], then (Either [2] or (If [0], then [1].).). [SC1-2]
[6]
Therefore, Either [2] or (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8]. [SC1-3]
If [7], then (If [6], then (Either [2] or (If [0], then [1].).).). [SC2-3]
If [8], then (If [6], then (Either [2] or (If [0], then [1].).).). [SC3-3]
Therefore, If [6], then (Either [2] or (If [0], then [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either (If [10], then [11].) or (Either [7] or [8].).
Not (If [10], then [11].).
Therefore, Either [7] or [8]..
[SC2-3]
Disjunctive Syllogism:
Either [9] or (If [7], then (If [6], then (Either [2] or (If [0], then [1].).).).).
Not [9].
Therefore, If [7], then (If [6], then (Either [2] or (If [0], then [1].).).)..
[SC3-3]
Modus Ponens:
If (If [12], then [13].), then (If [8], then (If [6], then (Either [2] or (If [0], then [1].).).).).
If [12], then [13].
Therefore, If [8], then (If [6], then (Either [2] or (If [0], then [1].).).)..
[SC2-1]
Disjunction Elimination:
Either [3] or (If [4], then [5].).
If [3], then (Not [2].).
If (If [4], then [5].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Aggression is necessary because of competition of food.', 1: 'Most water lilies thrive in environments.', 2: 'Wood forms the circulatory and support system in trees.', 3: 'Follow tables provide information.', 4: 'Justice is indiscriminately due to all, without regard to numbers, wealth, or rank.', 5: 'Antioxidant xanthophylls contain an -OH group.', 6: "Seabirds have (part) bird's feet.", 7: 'Most clams excrete anchor filament.', 8: 'Science is a never-ending search for truth.', 9: 'Asbestos is the name given to a group of fibrous minerals.', 10: 'Individuals have (part) plasma membranes.', 11: 'Xerophyte is a kind of plants adapted in desert habitat.', 12: 'Extrinsic values are partly factual, but intrinsic values are independent of facts.', 13: 'Liquid capacity is the tank volume below the outlet.'}
| 7 |
6,172 |
["Whenever it is true that we know that the claim that peace officers include police is false, 'if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling' is true.", 'At least one of two things is true: broadband access is where the market is headed, or painting Describe the various types of painting and finishing materials used for houses.', 'The claim that planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality.', 'Given that either broadband access is where the market is headed or painting Describe the various types of painting and finishing materials used for houses, it can be inferred that a vacuum is emptiness.', 'Once we know a vacuum is emptiness, we also know that if we know that the claim that peace officers include police is false, then either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins.', 'If the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then hybrid teas bear long, narrow buds on single, straight stems.', 'At least one of two things is true: cookies are small data structures delivered by a Web site to a user, or either historians deal with the goals, fears, interests, opinions, and prejudices of people in the past or pigeons look for flat surfaces for roosting and nesting.', 'Provided that cookies are small data structures delivered by a Web site to a user, we know that if the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then those that suggest hybrid teas bear long, narrow buds on single, straight stems are wrong.', 'One may reasonably assume that if either historians deal with the goals, fears, interests, opinions, and prejudices of people in the past or pigeons look for flat surfaces for roosting and nesting, then if the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then those that suggest hybrid teas bear long, narrow buds on single, straight stems are wrong.']
|
Whenever it is true that we know that the claim that peace officers include police is false, 'if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling' is true. At least one of two things is true: broadband access is where the market is headed, or painting Describe the various types of painting and finishing materials used for houses. The claim that planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality. Given that either broadband access is where the market is headed or painting Describe the various types of painting and finishing materials used for houses, it can be inferred that a vacuum is emptiness. Once we know a vacuum is emptiness, we also know that if we know that the claim that peace officers include police is false, then either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins. If the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then hybrid teas bear long, narrow buds on single, straight stems. At least one of two things is true: cookies are small data structures delivered by a Web site to a user, or either historians deal with the goals, fears, interests, opinions, and prejudices of people in the past or pigeons look for flat surfaces for roosting and nesting. Provided that cookies are small data structures delivered by a Web site to a user, we know that if the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then those that suggest hybrid teas bear long, narrow buds on single, straight stems are wrong. One may reasonably assume that if either historians deal with the goals, fears, interests, opinions, and prejudices of people in the past or pigeons look for flat surfaces for roosting and nesting, then if the claim that if the claim that if either european starlings take most of their food from on or just below the ground surface or virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins, then the statement that states if molecules absorb the UV light leading to ionization and release of a certain amount of energy, then writing begins with scribbling, drawing pictures, and inventing spelling is false does not correspond with reality, then planets represent other astronomical objects whose diameters are given in arcsec does not correspond with reality, then those that suggest hybrid teas bear long, narrow buds on single, straight stems are wrong.
|
The statement 'peace officers include police' can be considered true.
|
Peace officers have different law enforcement authority than police officers.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].).
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then (Either [3] or [4].). [SC1-2]
If (Either [3] or [4].), then (Not (If [1], then [2].).). [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If (Not [0].), then (Either [3] or [4].).). [SC1-3]
Either [5] or [6].
Therefore, If (Not [0].), then (Either [3] or [4].)..
[SC1-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then [8].
If [8], then (If (Not [0].), then (Either [3] or [4].).).
Therefore, If (Either [5] or [6].), then (If (Not [0].), then (Either [3] or [4].).)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7]. [SC1-3]
Not [7].
Therefore, If (Either [3] or [4].), then (Not (If [1], then [2].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7].).), then [9].
If (Not (If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7].).), then (Not [9].). [SC2-4]
Therefore, If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7]..
[SC2-4]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then (If (Not (If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7].).), then (Not [9].).).
If (Either [11] or [12].), then (If (Not (If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7].).), then (Not [9].).).
Therefore, If (Not (If (Not (If (Either [3] or [4].), then (Not (If [1], then [2].).).).), then [7].).), then (Not [9].)..
|
{0: 'Peace officers include police.', 1: 'Molecules absorb the UV light leading to ionization and release of a certain amount of energy.', 2: 'Writing begins with scribbling, drawing pictures, and inventing spelling.', 3: 'European starlings take most of their food from on or just below the ground surface.', 4: 'Virus destroys liver cells, causing jaundice and decreased production of blood-clotting proteins.', 5: 'Broadband access is where the market is headed.', 6: 'Painting Describe the various types of painting and finishing materials used for houses.', 7: 'Planets represent other astronomical objects whose diameters are given in arcsec.', 8: 'A vacuum is emptiness.', 9: 'Hybrid teas bear long, narrow buds on single, straight stems.', 10: 'Cookies are small data structures delivered by a Web site to a user.', 11: 'Historians deal with the goals, fears, interests, opinions, and prejudices of people in the past.', 12: 'Pigeons look for flat surfaces for roosting and nesting.'}
| 7 |
6,956 |
['At least one of two things is true: sociologists investigate the causes of social problems, such as crime, poverty, and racism, or headaches are frequently a spin-off and symptom of dirty blood.', 'Provided that headaches are frequently a spin-off and symptom of dirty blood, we know that the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality.', 'We know that at least one of two things is true: muscular rigidity is more common with juvenile-onset illness, or pollen grains are the immature male gametophytes existing in seed plants.', 'It is rational to believe that either dobsons have (part) nuclei or if muscular rigidity is more common with juvenile-onset illness, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality.', 'We know that either either most antigen induces immune responses or fluorine is an enzyme poison or either most foxes have few natural predators or some juniper prevents tract infection.', 'If either most antigen induces immune responses or fluorine is an enzyme poison, then if pollen grains are the immature male gametophytes existing in seed plants, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality.', 'If either most foxes have few natural predators or some juniper prevents tract infection, then if pollen grains are the immature male gametophytes existing in seed plants, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality.', 'Assuming dobsons have (part) nuclei, we know that if manatees feed off the bottom, in the water column, and at the surface, then porn stars are still women, and one of the reasons they are porn stars is because they look good.', 'Assuming some people have a reaction to particular food proteins, we know that the claim that if manatees feed off the bottom, in the water column, and at the surface, then porn stars are still women, and one of the reasons they are porn stars is because they look good does not reflect reality.', 'Either one or both of these statements are true: bad breath is usually a good indication that normal bacteria levels are low, or some people have a reaction to particular food proteins.', 'The claim that bad breath is usually a good indication that normal bacteria levels are low does not correspond with reality.']
|
At least one of two things is true: sociologists investigate the causes of social problems, such as crime, poverty, and racism, or headaches are frequently a spin-off and symptom of dirty blood. Provided that headaches are frequently a spin-off and symptom of dirty blood, we know that the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality. We know that at least one of two things is true: muscular rigidity is more common with juvenile-onset illness, or pollen grains are the immature male gametophytes existing in seed plants. It is rational to believe that either dobsons have (part) nuclei or if muscular rigidity is more common with juvenile-onset illness, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality. We know that either either most antigen induces immune responses or fluorine is an enzyme poison or either most foxes have few natural predators or some juniper prevents tract infection. If either most antigen induces immune responses or fluorine is an enzyme poison, then if pollen grains are the immature male gametophytes existing in seed plants, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality. If either most foxes have few natural predators or some juniper prevents tract infection, then if pollen grains are the immature male gametophytes existing in seed plants, then if sociologists investigate the causes of social problems, such as crime, poverty, and racism, then the claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality. Assuming dobsons have (part) nuclei, we know that if manatees feed off the bottom, in the water column, and at the surface, then porn stars are still women, and one of the reasons they are porn stars is because they look good. Assuming some people have a reaction to particular food proteins, we know that the claim that if manatees feed off the bottom, in the water column, and at the surface, then porn stars are still women, and one of the reasons they are porn stars is because they look good does not reflect reality. Either one or both of these statements are true: bad breath is usually a good indication that normal bacteria levels are low, or some people have a reaction to particular food proteins. The claim that bad breath is usually a good indication that normal bacteria levels are low does not correspond with reality.
|
The claim that if inventions relate to products, then subject complements have two subgroups, predicate adjectives and predicate nouns does not correspond with reality.
|
The claim that inventions provide methods does not correspond with reality.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not (If [0], then [1].).). [SC2-1]
If [3], then (Not (If [0], then [1].).).
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then (Not (If [0], then [1].).).). [SC2-2]
If [5], then (If [2], then (Not (If [0], then [1].).).). [SC3-2]
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (If [4], then (If [2], then (Not (If [0], then [1].).).).).
Not [6]. [SC2-3]
Therefore, If [4], then (If [2], then (Not (If [0], then [1].).).)..
[SC2-3]
Modus Tonens:
If [6], then (If [11], then [12].).
Not (If [11], then [12].). [SC2-4]
Therefore, Not [6]..
[SC2-4]
Modus Ponens:
If [13], then (Not (If [11], then [12].).).
[13] [SC2-5]
Therefore, Not (If [11], then [12].)..
[SC2-5]
Disjunctive Syllogism:
Either [14] or [13].
Not [14].
Therefore, [13].
[SC3-2]
Disjunction Elimination:
Either (Either [7] or [8].) or (Either [9] or [10].).
If (Either [7] or [8].), then (If [5], then (If [2], then (Not (If [0], then [1].).).).).
If (Either [9] or [10].), then (If [5], then (If [2], then (Not (If [0], then [1].).).).).
Therefore, If [5], then (If [2], then (Not (If [0], then [1].).).)..
|
{0: 'Inventions relate to products.', 1: 'Subject complements have two subgroups, predicate adjectives and predicate nouns.', 2: 'Sociologists investigate the causes of social problems, such as crime, poverty, and racism.', 3: 'Headaches are frequently a spin-off and symptom of dirty blood.', 4: 'Muscular rigidity is more common with juvenile-onset illness.', 5: 'Pollen grains are the immature male gametophytes existing in seed plants.', 6: 'Dobsons have (part) nuclei.', 7: 'Most antigen induces immune responses.', 8: 'Fluorine is an enzyme poison.', 9: 'Most foxes have few natural predators.', 10: 'Some juniper prevents tract infection.', 11: 'Manatees feed off the bottom, in the water column, and at the surface.', 12: 'Porn stars are still women, and one of the reasons they are porn stars is because they look good.', 13: 'Some people have a reaction to particular food proteins.', 14: 'Bad breath is usually a good indication that normal bacteria levels are low.'}
| 7 |
6,330 |
['One may reasonably assume that if solid ice has compositions, then if skepticism is, in a way, the mediating influence upon curiosity which guides it toward wisdom, then fish tend to swallow bait more deeply than artificial lures.', 'Given that the claim that solid ice has compositions has no merit, it can be inferred that if peasants are located in villages, then healthy aquaria use filtration.', 'The statement that states if peasants are located in villages, then healthy aquaria use filtration is false.', 'When we know that the claim that either scientists have classified regions of the world into different biomes or most crustaceans camouflage themselves by changing color to match the environment is false is true, it follows that a cylinder block is a casting.', "So long as we know that the claim that either scientists have classified regions of the world into different biomes or most crustaceans camouflage themselves by changing color to match the environment is false, 'the claim that a cylinder block is a casting does not reflect reality' is true.", 'It is a fact that either vitamin E provides anti-oxidant activity in cell membranes or if scientists have classified regions of the world into different biomes, then the claim that fish tend to swallow bait more deeply than artificial lures is false.', "The statement 'vitamin E provides anti-oxidant activity in cell membranes' can be considered false.", "Should it be the case that the statement that 'if most crustaceans camouflage themselves by changing color to match the environment, then the claim that fish tend to swallow bait more deeply than artificial lures is false' is incorrect, it follows that parthenogenesis occurs in two fashions.", 'The claim that parthenogenesis occurs in two fashions has no merit.']
|
One may reasonably assume that if solid ice has compositions, then if skepticism is, in a way, the mediating influence upon curiosity which guides it toward wisdom, then fish tend to swallow bait more deeply than artificial lures. Given that the claim that solid ice has compositions has no merit, it can be inferred that if peasants are located in villages, then healthy aquaria use filtration. The statement that states if peasants are located in villages, then healthy aquaria use filtration is false. When we know that the claim that either scientists have classified regions of the world into different biomes or most crustaceans camouflage themselves by changing color to match the environment is false is true, it follows that a cylinder block is a casting. So long as we know that the claim that either scientists have classified regions of the world into different biomes or most crustaceans camouflage themselves by changing color to match the environment is false, 'the claim that a cylinder block is a casting does not reflect reality' is true. It is a fact that either vitamin E provides anti-oxidant activity in cell membranes or if scientists have classified regions of the world into different biomes, then the claim that fish tend to swallow bait more deeply than artificial lures is false. The statement 'vitamin E provides anti-oxidant activity in cell membranes' can be considered false. Should it be the case that the statement that 'if most crustaceans camouflage themselves by changing color to match the environment, then the claim that fish tend to swallow bait more deeply than artificial lures is false' is incorrect, it follows that parthenogenesis occurs in two fashions. The claim that parthenogenesis occurs in two fashions has no merit.
|
The claim that skepticism is, in a way, the mediating influence upon curiosity which guides it toward wisdom does not reflect reality.
|
The statement 'skepticism is, in a way, the mediating influence upon curiosity which guides it toward wisdom' can be considered true.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [4], then (If [0], then [1].).
[4] [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If (Not [4].), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, [4].
[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]
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]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [2], then (Not [1].).).
Not [5].
Therefore, If [2], then (Not [1].)..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then [6].
Not [6].
Therefore, If [3], then (Not [1].)..
|
{0: 'Skepticism is, in a way, the mediating influence upon curiosity which guides it toward wisdom.', 1: 'Fish tend to swallow bait more deeply than artificial lures.', 2: 'Scientists have classified regions of the world into different biomes.', 3: 'Most crustaceans camouflage themselves by changing color to match the environment.', 4: 'Solid ice has compositions.', 5: 'Vitamin E provides anti-oxidant activity in cell membranes.', 6: 'Parthenogenesis occurs in two fashions.', 7: 'Peasants are located in villages.', 8: 'Healthy aquaria use filtration.', 9: 'A cylinder block is a casting.'}
| 7 |
6,352 |
['Once we know a radio station is a broadcast station, we also know that peppers have less cold tolerance than tomatoes, although more than eggplants.', 'There is good reason to believe that either gene therapy is used for genetic diseases or references are publications.', 'Should it be the case that those that suggest if gene therapy is used for genetic diseases, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality are wrong, it follows that sunny locations have air movement.', 'There is good reason to believe that either an allopurinol is medicine or pragmatists see the construction of knowledge as a logic-based testing of ideas against experience.', 'One may reasonably assume that if an allopurinol is medicine, then if references are publications, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality.', 'Once we know pragmatists see the construction of knowledge as a logic-based testing of ideas against experience, we also know that if references are publications, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality.', 'Should it be the case that variance analysis is a means of assessing performance which identifies areas for investigation, it follows that if those that suggest if gene therapy is used for genetic diseases, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality are wrong, then the claim that sunny locations have air movement has no merit.', 'The claim that directional exposure is also a factor in species distribution is false.', 'It is rational to believe that either either sofa beds are located in living rooms or bacteria play roles or either vision is sensation or oysters eat plankton.', 'Provided that either sofa beds are located in living rooms or bacteria play roles, we know that if the statement that states variance analysis is a means of assessing performance which identifies areas for investigation is false, then directional exposure is also a factor in species distribution.', 'Once we know either vision is sensation or oysters eat plankton, we also know that if the statement that states variance analysis is a means of assessing performance which identifies areas for investigation is false, then directional exposure is also a factor in species distribution.']
|
Once we know a radio station is a broadcast station, we also know that peppers have less cold tolerance than tomatoes, although more than eggplants. There is good reason to believe that either gene therapy is used for genetic diseases or references are publications. Should it be the case that those that suggest if gene therapy is used for genetic diseases, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality are wrong, it follows that sunny locations have air movement. There is good reason to believe that either an allopurinol is medicine or pragmatists see the construction of knowledge as a logic-based testing of ideas against experience. One may reasonably assume that if an allopurinol is medicine, then if references are publications, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality. Once we know pragmatists see the construction of knowledge as a logic-based testing of ideas against experience, we also know that if references are publications, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality. Should it be the case that variance analysis is a means of assessing performance which identifies areas for investigation, it follows that if those that suggest if gene therapy is used for genetic diseases, then if a radio station is a broadcast station, then the claim that peppers have less cold tolerance than tomatoes, although more than eggplants does not reflect reality are wrong, then the claim that sunny locations have air movement has no merit. The claim that directional exposure is also a factor in species distribution is false. It is rational to believe that either either sofa beds are located in living rooms or bacteria play roles or either vision is sensation or oysters eat plankton. Provided that either sofa beds are located in living rooms or bacteria play roles, we know that if the statement that states variance analysis is a means of assessing performance which identifies areas for investigation is false, then directional exposure is also a factor in species distribution. Once we know either vision is sensation or oysters eat plankton, we also know that if the statement that states variance analysis is a means of assessing performance which identifies areas for investigation is false, then directional exposure is also a factor in species distribution.
|
The statement, a radio station is a broadcast station, does not hold.
|
The statement, a radio station is a broadcast station, does not hold.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [0], then (Not [1].).). [SC2-2]
If [3], then (If [0], then (Not [1].).). [SC3-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then (Not [1].).).).), then [6].
If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [6].). [SC2-3]
Therefore, If [2], then (If [0], then (Not [1].).)..
[SC2-3]
Modus Ponens:
If [7], then (If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [6].).).
[7] [SC2-4]
Therefore, If (Not (If [2], then (If [0], then (Not [1].).).).), then (Not [6].)..
[SC2-4]
Modus Tonens:
If (Not [7].), then [8]. [SC1-5]
Not [8].
Therefore, [7].
[SC1-5]
Disjunction Elimination:
Either (Either [9] or [10].) or (Either [11] or [12].).
If (Either [9] or [10].), then (If (Not [7].), then [8].).
If (Either [11] or [12].), then (If (Not [7].), then [8].).
Therefore, If (Not [7].), then [8]..
[SC3-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [3], then (If [0], then (Not [1].).).).
If [5], then (If [3], then (If [0], then (Not [1].).).).
Therefore, If [3], then (If [0], then (Not [1].).)..
|
{0: 'A radio station is a broadcast station.', 1: 'Peppers have less cold tolerance than tomatoes, although more than eggplants.', 2: 'Gene therapy is used for genetic diseases.', 3: 'References are publications.', 4: 'An allopurinol is medicine.', 5: 'Pragmatists see the construction of knowledge as a logic-based testing of ideas against experience.', 6: 'Sunny locations have air movement.', 7: 'Variance analysis is a means of assessing performance which identifies areas for investigation.', 8: 'Directional exposure is also a factor in species distribution.', 9: 'Sofa beds are located in living rooms.', 10: 'Bacteria play roles.', 11: 'Vision is sensation.', 12: 'Oysters eat plankton.'}
| 7 |
6,857 |
['Given that some elk rely on cows, it can be inferred that education is the basis on which chiropractic becomes the care of first choice.', 'One may reasonably assume that if education is the basis on which chiropractic becomes the care of first choice, then if either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas, then authors send free review copies.', 'There is good reason to believe that either mothers can also watch for signs that their breasts are functioning normally or some elk rely on cows.', 'The claim that mothers can also watch for signs that their breasts are functioning normally does not reflect reality.', 'It is rational to believe that either either auto accidents are dangerous events or sheep are seasonal breeders or either either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants or if either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas, then it is not the case that authors send free review copies.', 'The claim that either auto accidents are dangerous events or sheep are seasonal breeders has no merit.', 'Assuming either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants, we know that most ermines have fur.', "If either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants, then the statement 'most ermines have fur' can be considered false."]
|
Given that some elk rely on cows, it can be inferred that education is the basis on which chiropractic becomes the care of first choice. One may reasonably assume that if education is the basis on which chiropractic becomes the care of first choice, then if either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas, then authors send free review copies. There is good reason to believe that either mothers can also watch for signs that their breasts are functioning normally or some elk rely on cows. The claim that mothers can also watch for signs that their breasts are functioning normally does not reflect reality. It is rational to believe that either either auto accidents are dangerous events or sheep are seasonal breeders or either either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants or if either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas, then it is not the case that authors send free review copies. The claim that either auto accidents are dangerous events or sheep are seasonal breeders has no merit. Assuming either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants, we know that most ermines have fur. If either irises grow from rhizomes, bulbs, or corms or most glucose is produced by plants, then the statement 'most ermines have fur' can be considered false.
|
The statement that states either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas is false.
|
The statement that states either siblings arrive in succession or hurricanes are storms that originate when heat builds up in tropical areas is false.
|
TRUE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If [5], then (If (Either [0] or [1].), then [2].). [SC1-2]
[5] [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC1-2]
Hypothetical Syllogism:
If [5], then [10].
If [10], then (If (Either [0] or [1].), then [2].).
Therefore, If [5], then (If (Either [0] or [1].), then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [7] or [5].
Not [7].
Therefore, [5].
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If (Either [0] or [1].), then (Not [2].).). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, If (Either [0] or [1].), then (Not [2].)..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Either (Either [3] or [4].) or (If (Either [0] or [1].), then (Not [2].).).).
Not (Either [8] or [9].).
Therefore, Either (Either [3] or [4].) or (If (Either [0] or [1].), then (Not [2].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then [6].
If (Either [3] or [4].), then (Not [6].).
Therefore, Not (Either [3] or [4].)..
|
{0: 'Siblings arrive in succession.', 1: 'Hurricanes are storms that originate when heat builds up in tropical areas.', 2: 'Authors send free review copies.', 3: 'Irises grow from rhizomes, bulbs, or corms.', 4: 'Most glucose is produced by plants.', 5: 'Some elk rely on cows.', 6: 'Most ermines have fur.', 7: 'Mothers can also watch for signs that their breasts are functioning normally.', 8: 'Auto accidents are dangerous events.', 9: 'Sheep are seasonal breeders.', 10: 'Education is the basis on which chiropractic becomes the care of first choice.'}
| 7 |
6,766 |
['We know that either cryptobiotic soil is a living groundcover that forms the foundation of high desert plant life or if truffles are black, then some bark beetles kill thousands of trees in western forests each year.', 'When cryptobiotic soil is a living groundcover that forms the foundation of high desert plant life is true, it follows that either staples are located in pantries or tests result in type skin reaction.', "So long as cigarette smoking is associated with reduced pulmonary functioning elderly men and women, 'if staples are located in pantries, then if worms thrive in the hog, then some viruses can escape detection by antivirus software' is true.", 'There is good reason to believe that either data bases can vary greatly in the degree to which personal information is identifiable or if tests result in type skin reaction, then if worms thrive in the hog, then some viruses can escape detection by antivirus software.', 'The claim that data bases can vary greatly in the degree to which personal information is identifiable does not reflect reality.', 'At least one of two things is true: diarrhea is encountered by birds for many reasons, or sea turtles are at risk when encountering an oil spill.', "Whenever it is true that diarrhea is encountered by birds for many reasons, 'if if truffles are black, then some bark beetles kill thousands of trees in western forests each year, then either staples are located in pantries or tests result in type skin reaction' is true.", 'Assuming sea turtles are at risk when encountering an oil spill, we know that if if truffles are black, then some bark beetles kill thousands of trees in western forests each year, then either staples are located in pantries or tests result in type skin reaction.', 'At least one of two things is true: penguins locate their nests under rocks or vegetation for shade and predator protection, or cigarette smoking is associated with reduced pulmonary functioning elderly men and women.', "Should it be the case that angolan isa someone, it follows that the statement 'penguins locate their nests under rocks or vegetation for shade and predator protection' can be considered false.", 'The claim that angolan isa someone is true.']
|
We know that either cryptobiotic soil is a living groundcover that forms the foundation of high desert plant life or if truffles are black, then some bark beetles kill thousands of trees in western forests each year. When cryptobiotic soil is a living groundcover that forms the foundation of high desert plant life is true, it follows that either staples are located in pantries or tests result in type skin reaction. So long as cigarette smoking is associated with reduced pulmonary functioning elderly men and women, 'if staples are located in pantries, then if worms thrive in the hog, then some viruses can escape detection by antivirus software' is true. There is good reason to believe that either data bases can vary greatly in the degree to which personal information is identifiable or if tests result in type skin reaction, then if worms thrive in the hog, then some viruses can escape detection by antivirus software. The claim that data bases can vary greatly in the degree to which personal information is identifiable does not reflect reality. At least one of two things is true: diarrhea is encountered by birds for many reasons, or sea turtles are at risk when encountering an oil spill. Whenever it is true that diarrhea is encountered by birds for many reasons, 'if if truffles are black, then some bark beetles kill thousands of trees in western forests each year, then either staples are located in pantries or tests result in type skin reaction' is true. Assuming sea turtles are at risk when encountering an oil spill, we know that if if truffles are black, then some bark beetles kill thousands of trees in western forests each year, then either staples are located in pantries or tests result in type skin reaction. At least one of two things is true: penguins locate their nests under rocks or vegetation for shade and predator protection, or cigarette smoking is associated with reduced pulmonary functioning elderly men and women. Should it be the case that angolan isa someone, it follows that the statement 'penguins locate their nests under rocks or vegetation for shade and predator protection' can be considered false. The claim that angolan isa someone is true.
|
Once we know worms thrive in the hog, we also know that some viruses can escape detection by antivirus software.
|
Once we know worms thrive in the hog, we also know that some viruses can escape detection by antivirus software.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunction Elimination:
Either [4] or (If [5], then [6].).
If [4], then (Either [2] or [3].).
If (If [5], then [6].), then (Either [2] or [3].). [SC3-2]
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If (If [5], then [6].), then (Either [2] or [3].).).
If [10], then (If (If [5], then [6].), then (Either [2] or [3].).).
Therefore, If (If [5], then [6].), then (Either [2] or [3].)..
[SC2-1]
Modus Ponens:
If [8], then (If [2], then (If [0], then [1].).).
[8] [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [11] or [8].
Not [11]. [SC2-3]
Therefore, [8].
[SC2-3]
Modus Ponens:
If [12], then (Not [11].).
[12]
Therefore, Not [11]..
[SC3-1]
Disjunctive Syllogism:
Either [7] or (If [3], then (If [0], then [1].).).
Not [7].
Therefore, If [3], then (If [0], then [1].)..
|
{0: 'Worms thrive in the hog.', 1: 'Some viruses can escape detection by antivirus software.', 2: 'Staples are located in pantries.', 3: 'Tests result in type skin reaction.', 4: 'Cryptobiotic soil is a living groundcover that forms the foundation of high desert plant life.', 5: 'Truffles are black.', 6: 'Some bark beetles kill thousands of trees in western forests each year.', 7: 'Data bases can vary greatly in the degree to which personal information is identifiable.', 8: 'Cigarette smoking is associated with reduced pulmonary functioning elderly men and women.', 9: 'Diarrhea is encountered by birds for many reasons.', 10: 'Sea turtles are at risk when encountering an oil spill.', 11: 'Penguins locate their nests under rocks or vegetation for shade and predator protection.', 12: 'Angolan isa someone.'}
| 7 |
6,039 |
["The statement 'some hostels allow smoking outside in designated areas' can be considered false.", 'Assuming if most fiber increases fecal excretion, then some bacteria have an innate natural resistance against particular antibiotics, we know that some hostels allow smoking outside in designated areas.', "So long as condoms are contraceptives, 'if most fiber increases fecal excretion, then some bacteria have an innate natural resistance against particular antibiotics' is true.", 'Assuming either corn has essential nutrients or emulsions are milky in appearance and solubilised oils, for example - are clear to the eye, we know that if all parents worry about their children, about illnesses and accidents, then condoms are contraceptives.', 'One may reasonably assume that if we know that the claim that if if stars appear like comets having tails on one side, then potoroos have (part) cell membranes, then either corn has essential nutrients or emulsions are milky in appearance and solubilised oils, for example - are clear to the eye is false, then either toxins affect respiration or unstable nuclei undergo transformations which release energy.', 'Some people mistakenly believe that either toxins affect respiration or unstable nuclei undergo transformations which release energy.', 'Either most monkeys occur in protect areas or either males can also get breast cancer or motor sports are sports.', 'Assuming most monkeys occur in protect areas, we know that if stars appear like comets having tails on one side, then potoroos have (part) cell membranes.', 'Once we know either males can also get breast cancer or motor sports are sports, we also know that if stars appear like comets having tails on one side, then potoroos have (part) cell membranes.']
|
The statement 'some hostels allow smoking outside in designated areas' can be considered false. Assuming if most fiber increases fecal excretion, then some bacteria have an innate natural resistance against particular antibiotics, we know that some hostels allow smoking outside in designated areas. So long as condoms are contraceptives, 'if most fiber increases fecal excretion, then some bacteria have an innate natural resistance against particular antibiotics' is true. Assuming either corn has essential nutrients or emulsions are milky in appearance and solubilised oils, for example - are clear to the eye, we know that if all parents worry about their children, about illnesses and accidents, then condoms are contraceptives. One may reasonably assume that if we know that the claim that if if stars appear like comets having tails on one side, then potoroos have (part) cell membranes, then either corn has essential nutrients or emulsions are milky in appearance and solubilised oils, for example - are clear to the eye is false, then either toxins affect respiration or unstable nuclei undergo transformations which release energy. Some people mistakenly believe that either toxins affect respiration or unstable nuclei undergo transformations which release energy. Either most monkeys occur in protect areas or either males can also get breast cancer or motor sports are sports. Assuming most monkeys occur in protect areas, we know that if stars appear like comets having tails on one side, then potoroos have (part) cell membranes. Once we know either males can also get breast cancer or motor sports are sports, we also know that if stars appear like comets having tails on one side, then potoroos have (part) cell membranes.
|
The claim that all parents worry about their children, about illnesses and accidents does not reflect reality.
|
We know that the claim that parents make trips is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then (If [2], then [3].). [SC1-2]
If (If [2], then [3].), then [1].
Therefore, If [0], then [1]..
[SC1-2]
Hypothetical Syllogism:
If [0], then [4]. [SC1-3]
If [4], then (If [2], then [3].).
Therefore, If [0], then (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If (Either [5] or [6].), then (If [0], then [4].).
Either [5] or [6]. [SC2-4]
Therefore, If [0], then [4]..
[SC2-4]
Modus Ponens:
If (If [7], then [8].), then (Either [5] or [6].). [SC1-5]
If [7], then [8]. [SC2-5]
Therefore, Either [5] or [6]..
[SC1-5]
Modus Tonens:
If (Not (If (If [7], then [8].), then (Either [5] or [6].).).), then (Either [12] or [13].).
Not (Either [12] or [13].).
Therefore, If (If [7], then [8].), then (Either [5] or [6].)..
[SC2-5]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [7], then [8].).
If (Either [10] or [11].), then (If [7], then [8].).
Therefore, If [7], then [8]..
|
{0: 'All parents worry about their children, about illnesses and accidents.', 1: 'Some hostels allow smoking outside in designated areas.', 2: 'Most fiber increases fecal excretion.', 3: 'Some bacteria have an innate natural resistance against particular antibiotics.', 4: 'Condoms are contraceptives.', 5: 'Corn has essential nutrients.', 6: 'Emulsions are milky in appearance and solubilised oils, for example - are clear to the eye.', 7: 'Stars appear like comets having tails on one side.', 8: 'Potoroos have (part) cell membranes.', 9: 'Most monkeys occur in protect areas.', 10: 'Males can also get breast cancer.', 11: 'Motor sports are sports.', 12: 'Toxins affect respiration.', 13: 'Unstable nuclei undergo transformations which release energy.'}
| 7 |
6,852 |
["The statement 'a thrust fault is a break' is true.", "When we know that the claim that if dogs are sometimes sick after eating grass, then either if behaviour isa state, then visual clues help young children predict what's going to happen or wimps have (part) vacuoles is false is true, it follows that scale operations have effects.", "Assuming we know that the claim that if dogs are sometimes sick after eating grass, then either if behaviour isa state, then visual clues help young children predict what's going to happen or wimps have (part) vacuoles is false, we know that the claim that scale operations have effects is false.", 'There is good reason to believe that either papas have (part) cytoplasm or either many professional athletes do workouts or pecan trees have staminate and pistillate flowers on the same plant.', "Whenever it is true that papas have (part) cytoplasm, 'dogs are sometimes sick after eating grass' is true.", "Whenever it is true that either many professional athletes do workouts or pecan trees have staminate and pistillate flowers on the same plant, 'dogs are sometimes sick after eating grass' is true.", "Should it be the case that young men are at especially high risk, having nearly twice the risk of fatality as young women, it follows that if a thrust fault is a break, then the claim that if behaviour isa state, then visual clues help young children predict what's going to happen does not correspond with reality.", 'If forest elephants live in much smaller family units, then young men are at especially high risk, having nearly twice the risk of fatality as young women.', 'It is fair to say that forest elephants live in much smaller family units.']
|
The statement 'a thrust fault is a break' is true. When we know that the claim that if dogs are sometimes sick after eating grass, then either if behaviour isa state, then visual clues help young children predict what's going to happen or wimps have (part) vacuoles is false is true, it follows that scale operations have effects. Assuming we know that the claim that if dogs are sometimes sick after eating grass, then either if behaviour isa state, then visual clues help young children predict what's going to happen or wimps have (part) vacuoles is false, we know that the claim that scale operations have effects is false. There is good reason to believe that either papas have (part) cytoplasm or either many professional athletes do workouts or pecan trees have staminate and pistillate flowers on the same plant. Whenever it is true that papas have (part) cytoplasm, 'dogs are sometimes sick after eating grass' is true. Whenever it is true that either many professional athletes do workouts or pecan trees have staminate and pistillate flowers on the same plant, 'dogs are sometimes sick after eating grass' is true. Should it be the case that young men are at especially high risk, having nearly twice the risk of fatality as young women, it follows that if a thrust fault is a break, then the claim that if behaviour isa state, then visual clues help young children predict what's going to happen does not correspond with reality. If forest elephants live in much smaller family units, then young men are at especially high risk, having nearly twice the risk of fatality as young women. It is fair to say that forest elephants live in much smaller family units.
|
It is fair to say that wimps have (part) vacuoles.
|
The statement that 'wimps have (part) vacuoles' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either (If [1], then [2].) or [0].). [SC1-2]
[3] [SC2-2]
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then [5].
If (Not (If [3], then (Either (If [1], then [2].) or [0].).).), then (Not [5].).
Therefore, If [3], then (Either (If [1], then [2].) or [0].)..
[SC2-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then [3].
If (Either [8] or [9].), then [3].
Therefore, [3].
[SC2-1]
Modus Ponens:
If [4], then (Not (If [1], then [2].).). [SC1-2]
[4]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [6], then (If [4], then (Not (If [1], then [2].).).).
[6] [SC2-3]
Therefore, If [4], then (Not (If [1], then [2].).)..
[SC2-3]
Modus Ponens:
If [10], then [6].
[10]
Therefore, [6].
|
{0: 'Wimps have (part) vacuoles.', 1: 'Behaviour isa state.', 2: "Visual clues help young children predict what's going to happen.", 3: 'Dogs are sometimes sick after eating grass.', 4: 'A thrust fault is a break.', 5: 'Scale operations have effects.', 6: 'Young men are at especially high risk, having nearly twice the risk of fatality as young women.', 7: 'Papas have (part) cytoplasm.', 8: 'Many professional athletes do workouts.', 9: 'Pecan trees have staminate and pistillate flowers on the same plant.', 10: 'Forest elephants live in much smaller family units.'}
| 7 |
6,875 |
['The claim that x Can lack snow on lower slopes does not reflect reality.', 'The statement that states most weasels reach maturity is false.', 'Given that chemical reactions happen very rapidly, it can be inferred that if it is not the case that if it is not true that some people are aware of their heartbeat and can feel PVCs quite clearly, then x Can lack snow on lower slopes, then most weasels reach maturity.', "So long as any individual can become blind in childhood or in later life, 'if it is not the case that if it is not true that some people are aware of their heartbeat and can feel PVCs quite clearly, then x Can lack snow on lower slopes, then most weasels reach maturity' is true.", 'The claim that temperance is prudence applied to pleasure is false.', "So long as the statement that states if those that suggest either chemical reactions happen very rapidly or any individual can become blind in childhood or in later life are wrong, then temperance is prudence applied to pleasure is false, 'prices decrease in function of number of hours purchased' is true.", 'It is a fact that either if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case or pulmonary hypertension develops as a response to increased resistance to blood flow.', 'If pulmonary hypertension develops as a response to increased resistance to blood flow, then it is a common misconception that prices decrease in function of number of hours purchased.', "When the notion that 'if if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case, then it is a common misconception that prices decrease in function of number of hours purchased' is untrue is true, it follows that consult firms provide small business.", "If the notion that 'if if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case, then it is a common misconception that prices decrease in function of number of hours purchased' is untrue, then those that suggest consult firms provide small business are wrong."]
|
The claim that x Can lack snow on lower slopes does not reflect reality. The statement that states most weasels reach maturity is false. Given that chemical reactions happen very rapidly, it can be inferred that if it is not the case that if it is not true that some people are aware of their heartbeat and can feel PVCs quite clearly, then x Can lack snow on lower slopes, then most weasels reach maturity. So long as any individual can become blind in childhood or in later life, 'if it is not the case that if it is not true that some people are aware of their heartbeat and can feel PVCs quite clearly, then x Can lack snow on lower slopes, then most weasels reach maturity' is true. The claim that temperance is prudence applied to pleasure is false. So long as the statement that states if those that suggest either chemical reactions happen very rapidly or any individual can become blind in childhood or in later life are wrong, then temperance is prudence applied to pleasure is false, 'prices decrease in function of number of hours purchased' is true. It is a fact that either if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case or pulmonary hypertension develops as a response to increased resistance to blood flow. If pulmonary hypertension develops as a response to increased resistance to blood flow, then it is a common misconception that prices decrease in function of number of hours purchased. When the notion that 'if if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case, then it is a common misconception that prices decrease in function of number of hours purchased' is untrue is true, it follows that consult firms provide small business. If the notion that 'if if dreams are the keys that hide the greatest treasures of our universe, then federal jurisdiction allows federal authorities to assist the states in bringing their own case, then it is a common misconception that prices decrease in function of number of hours purchased' is untrue, then those that suggest consult firms provide small business are wrong.
|
Those that suggest some people are aware of their heartbeat and can feel PVCs quite clearly are right.
|
It is not true that some people are aware of their heartbeat and can feel PVCs quite clearly.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).
If [4], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Modus Tonens:
If (Not (Either [3] or [4].).), then [5]. [SC1-4]
Not [5].
Therefore, Either [3] or [4]..
[SC1-4]
Modus Tonens:
If (Not (If (Not (Either [3] or [4].).), then [5].).), then [6].
Not [6]. [SC2-5]
Therefore, If (Not (Either [3] or [4].).), then [5]..
[SC2-5]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (Not [6].). [SC2-6]
If [9], then (Not [6].).
Therefore, Not [6]..
[SC2-6]
Reductio Ad Absurdum:
If (Not (If (If [7], then [8].), then (Not [6].).).), then [10].
If (Not (If (If [7], then [8].), then (Not [6].).).), then (Not [10].).
Therefore, If (If [7], then [8].), then (Not [6].)..
|
{0: 'Some people are aware of their heartbeat and can feel PVCs quite clearly.', 1: 'X Can lack snow on lower slopes.', 2: 'Most weasels reach maturity.', 3: 'Chemical reactions happen very rapidly.', 4: 'Any individual can become blind in childhood or in later life.', 5: 'Temperance is prudence applied to pleasure.', 6: 'Prices decrease in function of number of hours purchased.', 7: 'Dreams are the keys that hide the greatest treasures of our universe.', 8: 'Federal jurisdiction allows federal authorities to assist the states in bringing their own case.', 9: 'Pulmonary hypertension develops as a response to increased resistance to blood flow.', 10: 'Consult firms provide small business.'}
| 7 |
6,156 |
["Whenever it is true that either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, 'it is a common misconception that if firearms are necessary tools for the citizens of a free society, then neutral atoms can form, atomic nuclei surround by electron clouds' is true.", "Whenever it is true that it is not the case that either either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants or either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, 'the statement that 'rape myths are statements that say that women really want or deserve to be raped' is incorrect' is true.", 'Should it be the case that either computerization is defined as having at least one stand-alone computer or social workers are especially sensitive to, and capable of, people-centered leadership, it follows that if either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants, then it is a common misconception that if firearms are necessary tools for the citizens of a free society, then neutral atoms can form, atomic nuclei surround by electron clouds.', 'On the condition that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it is definitely the case that if it is not the case that either either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants or either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, then rape myths are statements that say that women really want or deserve to be raped.', "Whenever it is true that astronomers observe evidence, 'either computerization is defined as having at least one stand-alone computer or social workers are especially sensitive to, and capable of, people-centered leadership' is true.", 'Given that some people mistakenly believe that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it can be inferred that either some consumers feed on living plants and animals or state law requires all dogs and cats three months of age or older to be vaccinated against rabies.', "On the condition that some people mistakenly believe that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it is definitely the case that the notion that 'either some consumers feed on living plants and animals or state law requires all dogs and cats three months of age or older to be vaccinated against rabies' is untrue.", 'Given that some electromagnetic fields create microwaves, it can be inferred that astronomers observe evidence.', 'It is the case that some electromagnetic fields create microwaves.']
|
Whenever it is true that either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, 'it is a common misconception that if firearms are necessary tools for the citizens of a free society, then neutral atoms can form, atomic nuclei surround by electron clouds' is true. Whenever it is true that it is not the case that either either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants or either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, 'the statement that 'rape myths are statements that say that women really want or deserve to be raped' is incorrect' is true. Should it be the case that either computerization is defined as having at least one stand-alone computer or social workers are especially sensitive to, and capable of, people-centered leadership, it follows that if either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants, then it is a common misconception that if firearms are necessary tools for the citizens of a free society, then neutral atoms can form, atomic nuclei surround by electron clouds. On the condition that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it is definitely the case that if it is not the case that either either sunlight causes many objects to have shadows at certain times of the day or canebrakes are so dense and vast as to typically exclude any other plants or either tornadoes come from severe thunderstorms, which can produce a lot of rain or plants absorb water from the soil through their roots, then rape myths are statements that say that women really want or deserve to be raped. Whenever it is true that astronomers observe evidence, 'either computerization is defined as having at least one stand-alone computer or social workers are especially sensitive to, and capable of, people-centered leadership' is true. Given that some people mistakenly believe that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it can be inferred that either some consumers feed on living plants and animals or state law requires all dogs and cats three months of age or older to be vaccinated against rabies. On the condition that some people mistakenly believe that if many people are happiest when both love and sexual desire are shared by both partners, then mangabeys reside in valleys, it is definitely the case that the notion that 'either some consumers feed on living plants and animals or state law requires all dogs and cats three months of age or older to be vaccinated against rabies' is untrue. Given that some electromagnetic fields create microwaves, it can be inferred that astronomers observe evidence. It is the case that some electromagnetic fields create microwaves.
|
It is a common misconception that if firearms are necessary tools for the citizens of a free society, then neutral atoms can form, atomic nuclei surround by electron clouds.
|
It is a common misconception that firearms equalize the means of physical terror between men and women.
|
Uncertain
|
Disjunction Elimination:
Either (Either [2] or [3].) or (Either [4] or [5].). [SC1-1]
If (Either [2] or [3].), then (Not (If [0], then [1].).). [SC2-1]
If (Either [4] or [5].), then (Not (If [0], then [1].).).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or (Either [4] or [5].).).), then [6]. [SC1-2]
If (Not (Either (Either [2] or [3].) or (Either [4] or [5].).).), then (Not [6].).
Therefore, Either (Either [2] or [3].) or (Either [4] or [5].)..
[SC1-2]
Modus Ponens:
If (If [9], then [10].), then (If (Not (Either (Either [2] or [3].) or (Either [4] or [5].).).), then [6].).
If [9], then [10]. [SC2-3]
Therefore, If (Not (Either (Either [2] or [3].) or (Either [4] or [5].).).), then [6]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [9], then [10].).), then (Either [12] or [13].).
If (Not (If [9], then [10].).), then (Not (Either [12] or [13].).).
Therefore, If [9], then [10]..
[SC2-1]
Modus Ponens:
If (Either [7] or [8].), then (If (Either [2] or [3].), then (Not (If [0], then [1].).).).
Either [7] or [8]. [SC2-2]
Therefore, If (Either [2] or [3].), then (Not (If [0], then [1].).)..
[SC2-2]
Modus Ponens:
If [11], then (Either [7] or [8].).
[11] [SC2-3]
Therefore, Either [7] or [8]..
[SC2-3]
Modus Ponens:
If [14], then [11].
[14]
Therefore, [11].
|
{0: 'Firearms are necessary tools for the citizens of a free society.', 1: 'Neutral atoms can form, atomic nuclei surround by electron clouds.', 2: 'Sunlight causes many objects to have shadows at certain times of the day.', 3: 'Canebrakes are so dense and vast as to typically exclude any other plants.', 4: 'Tornadoes come from severe thunderstorms, which can produce a lot of rain.', 5: 'Plants absorb water from the soil through their roots.', 6: 'Rape myths are statements that say that women really want or deserve to be raped.', 7: 'Computerization is defined as having at least one stand-alone computer.', 8: 'Social workers are especially sensitive to, and capable of, people-centered leadership.', 9: 'Many people are happiest when both love and sexual desire are shared by both partners.', 10: 'Mangabeys reside in valleys.', 11: 'Astronomers observe evidence.', 12: 'Some consumers feed on living plants and animals.', 13: 'State law requires all dogs and cats three months of age or older to be vaccinated against rabies.', 14: 'Some electromagnetic fields create microwaves.'}
| 7 |
6,222 |
["So long as all fungi come in one of two basic forms, molds or yeasts, 'some people mistakenly believe that most slugs eat rot vegetation' is true.", 'One may reasonably assume that if water is a better thermal conductor than air, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process.', 'At least one of two things is true: size is the total number of examples in the dataset, or obvious differences exist in milk composition and yield among various breeds of dairy cattle.', 'Given that size is the total number of examples in the dataset, it can be inferred that if either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods , then all fungi come in one of two basic forms, molds or yeasts.', 'Provided that obvious differences exist in milk composition and yield among various breeds of dairy cattle, we know that if either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods , then all fungi come in one of two basic forms, molds or yeasts.', 'Either one or both of these statements are true: hens raise chickens, or if color is perhaps the major stimulus that effects our decision-making process, then all fungi come in one of two basic forms, molds or yeasts.', 'The claim that hens raise chickens does not correspond with reality.', 'Either thoughts have dramatic effects or either water is a better thermal conductor than air or endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise.', 'The statement, thoughts have dramatic effects, does not hold.', 'Assuming some people mistakenly believe that if endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process, we know that volatility is intrinsic to stocks and mutual funds.', "Provided that some people mistakenly believe that if endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process, we know that the statement that 'volatility is intrinsic to stocks and mutual funds' is incorrect."]
|
So long as all fungi come in one of two basic forms, molds or yeasts, 'some people mistakenly believe that most slugs eat rot vegetation' is true. One may reasonably assume that if water is a better thermal conductor than air, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process. At least one of two things is true: size is the total number of examples in the dataset, or obvious differences exist in milk composition and yield among various breeds of dairy cattle. Given that size is the total number of examples in the dataset, it can be inferred that if either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods , then all fungi come in one of two basic forms, molds or yeasts. Provided that obvious differences exist in milk composition and yield among various breeds of dairy cattle, we know that if either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods , then all fungi come in one of two basic forms, molds or yeasts. Either one or both of these statements are true: hens raise chickens, or if color is perhaps the major stimulus that effects our decision-making process, then all fungi come in one of two basic forms, molds or yeasts. The claim that hens raise chickens does not correspond with reality. Either thoughts have dramatic effects or either water is a better thermal conductor than air or endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise. The statement, thoughts have dramatic effects, does not hold. Assuming some people mistakenly believe that if endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process, we know that volatility is intrinsic to stocks and mutual funds. Provided that some people mistakenly believe that if endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise, then either either progressive pitch is a term used by some for the camber that is in a blade or many surface mines yield fine brachiopods , snails, clams and cephalopods or color is perhaps the major stimulus that effects our decision-making process, we know that the statement that 'volatility is intrinsic to stocks and mutual funds' is incorrect.
|
Some people mistakenly believe that most slugs eat rot vegetation.
|
The statement 'slugs rasp on leaves, stems, flowers and roots' can be considered false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then [1]. [SC2-2]
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either [8] or [9]. [SC1-3]
If [8], then (Either (Either [2] or [3].) or [4].).
If [9], then (Either (Either [2] or [3].) or [4].). [SC3-3]
Therefore, Either (Either [2] or [3].) or [4]..
[SC1-3]
Disjunctive Syllogism:
Either [10] or (Either [8] or [9].).
Not [10].
Therefore, Either [8] or [9]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [9], then (Either (Either [2] or [3].) or [4].).).), then [11].
If (Not (If [9], then (Either (Either [2] or [3].) or [4].).).), then (Not [11].).
Therefore, If [9], then (Either (Either [2] or [3].) or [4].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Either [2] or [3].), then [1].).
If [6], then (If (Either [2] or [3].), then [1].).
Therefore, If (Either [2] or [3].), then [1]..
[SC3-2]
Disjunctive Syllogism:
Either [7] or (If [4], then [1].).
Not [7].
Therefore, If [4], then [1]..
|
{0: 'Most slugs eat rot vegetation.', 1: 'All fungi come in one of two basic forms, molds or yeasts.', 2: 'Progressive pitch is a term used by some for the camber that is in a blade.', 3: 'Many surface mines yield fine brachiopods , snails, clams and cephalopods .', 4: 'Color is perhaps the major stimulus that effects our decision-making process.', 5: 'Size is the total number of examples in the dataset.', 6: 'Obvious differences exist in milk composition and yield among various breeds of dairy cattle.', 7: 'Hens raise chickens.', 8: 'Water is a better thermal conductor than air.', 9: 'Endurance training promotes the use of intramuscular triglycerides as fuel substrates for exercise.', 10: 'Thoughts have dramatic effects.', 11: 'Volatility is intrinsic to stocks and mutual funds.'}
| 7 |
6,641 |
['Should it be the case that it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, it follows that the claim that either children choose alternatives or some enzymes digest indigestible substances is false.', 'Provided that it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, we know that cytoplasmic inheritance can be maternal or biparental .', 'If either most little birds have senses or firework isa chemical, then heat exhaustion is a warning that the body is getting too hot.', 'There is good reason to believe that either some ungulates eat plants or a gurney is a stretcher.', 'Once we know some ungulates eat plants, we also know that if it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, then it is not the case that cytoplasmic inheritance can be maternal or biparental .', 'When a gurney is a stretcher is true, it follows that if it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, then it is not the case that cytoplasmic inheritance can be maternal or biparental .', "So long as it is a common misconception that either either most little birds have senses or firework isa chemical or many people experience weight loss from increasing daily water intake only, 'antigens are markers on cells that act as microscopic flags' is true.", 'The statement that states antigens are markers on cells that act as microscopic flags is false.', 'At least one of two things is true: some flamingos die from injuries, or whales communicate with one another through a wide variety of whistles, squeaks and whines.', 'On the condition that some flamingos die from injuries, it is definitely the case that if many people experience weight loss from increasing daily water intake only, then heat exhaustion is a warning that the body is getting too hot.', 'On the condition that whales communicate with one another through a wide variety of whistles, squeaks and whines, it is definitely the case that if many people experience weight loss from increasing daily water intake only, then heat exhaustion is a warning that the body is getting too hot.']
|
Should it be the case that it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, it follows that the claim that either children choose alternatives or some enzymes digest indigestible substances is false. Provided that it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, we know that cytoplasmic inheritance can be maternal or biparental . If either most little birds have senses or firework isa chemical, then heat exhaustion is a warning that the body is getting too hot. There is good reason to believe that either some ungulates eat plants or a gurney is a stretcher. Once we know some ungulates eat plants, we also know that if it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, then it is not the case that cytoplasmic inheritance can be maternal or biparental . When a gurney is a stretcher is true, it follows that if it is a common misconception that if heat exhaustion is a warning that the body is getting too hot, then if it is a common misconception that if herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy, then either children choose alternatives or some enzymes digest indigestible substances, then it is not the case that cytoplasmic inheritance can be maternal or biparental . So long as it is a common misconception that either either most little birds have senses or firework isa chemical or many people experience weight loss from increasing daily water intake only, 'antigens are markers on cells that act as microscopic flags' is true. The statement that states antigens are markers on cells that act as microscopic flags is false. At least one of two things is true: some flamingos die from injuries, or whales communicate with one another through a wide variety of whistles, squeaks and whines. On the condition that some flamingos die from injuries, it is definitely the case that if many people experience weight loss from increasing daily water intake only, then heat exhaustion is a warning that the body is getting too hot. On the condition that whales communicate with one another through a wide variety of whistles, squeaks and whines, it is definitely the case that if many people experience weight loss from increasing daily water intake only, then heat exhaustion is a warning that the body is getting too hot.
|
If herons shed feathers, then some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy.
|
When herons call in flight and on the ground, during the day and at night is true, it follows that some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (Either [2] or [3].). [SC1-1]
If (Not (If [0], then [1].).), then (Not (Either [2] or [3].).).
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).). [SC1-2]
[4] [SC2-2]
Therefore, If (Not (If [0], then [1].).), then (Either [2] or [3].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then [5].
If (Not (If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then (Not [5].). [SC2-3]
Therefore, If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).)..
[SC2-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Not (If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then (Not [5].).).
If [11], then (If (Not (If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then (Not [5].).).
Therefore, If (Not (If [4], then (If (Not (If [0], then [1].).), then (Either [2] or [3].).).).), then (Not [5].)..
[SC2-2]
Disjunction Elimination:
Either (Either [6] or [7].) or [8]. [SC1-3]
If (Either [6] or [7].), then [4].
If [8], then [4]. [SC3-3]
Therefore, [4].
[SC1-3]
Modus Tonens:
If (Not (Either (Either [6] or [7].) or [8].).), then [9].
Not [9].
Therefore, Either (Either [6] or [7].) or [8]..
[SC3-3]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If [8], then [4].).
If [13], then (If [8], then [4].).
Therefore, If [8], then [4]..
|
{0: 'Herons shed feathers.', 1: 'Some capsicum leaves a reddish dye on the fur, which makes spotting a returning bear easy.', 2: 'Children choose alternatives.', 3: 'Some enzymes digest indigestible substances.', 4: 'Heat exhaustion is a warning that the body is getting too hot.', 5: 'Cytoplasmic inheritance can be maternal or biparental .', 6: 'Most little birds have senses.', 7: 'Firework isa chemical.', 8: 'Many people experience weight loss from increasing daily water intake only.', 9: 'Antigens are markers on cells that act as microscopic flags.', 10: 'Some ungulates eat plants.', 11: 'A gurney is a stretcher.', 12: 'Some flamingos die from injuries.', 13: 'Whales communicate with one another through a wide variety of whistles, squeaks and whines.'}
| 7 |
6,210 |
["Given that we know that the claim that alteration has disruptive effects is false, it can be inferred that the statement 'a melanocyte is an epidermal cell' can be considered false.", 'It is the case that amino acids are expensive, and high protein needs can be met by eating a well-balanced diet.', 'On the condition that lice look like dandruff, but the small, white creatures adhere to the hairs rather than the scalp, it is definitely the case that seawater rushes in to fill the space that was taken up by air.', 'Assuming seawater rushes in to fill the space that was taken up by air, we know that transepts usually contain secondary entrances or chapels.', "Provided that the statement that 'if transepts usually contain secondary entrances or chapels, then if we know that the claim that alteration has disruptive effects is false, then a melanocyte is an epidermal cell' is incorrect, we know that explosive strength is a characteristic of performance that is common in many sporting endeavors.", "When the statement that 'if transepts usually contain secondary entrances or chapels, then if we know that the claim that alteration has disruptive effects is false, then a melanocyte is an epidermal cell' is incorrect is true, it follows that the statement 'explosive strength is a characteristic of performance that is common in many sporting endeavors' can be considered false.", 'Should it be the case that some people mistakenly believe that if amino acids are expensive, and high protein needs can be met by eating a well-balanced diet, then lice look like dandruff, but the small, white creatures adhere to the hairs rather than the scalp, it follows that if quacks have (part) cell membranes, then recipes include beef.', 'The claim that if quacks have (part) cell membranes, then recipes include beef does not reflect reality.']
|
Given that we know that the claim that alteration has disruptive effects is false, it can be inferred that the statement 'a melanocyte is an epidermal cell' can be considered false. It is the case that amino acids are expensive, and high protein needs can be met by eating a well-balanced diet. On the condition that lice look like dandruff, but the small, white creatures adhere to the hairs rather than the scalp, it is definitely the case that seawater rushes in to fill the space that was taken up by air. Assuming seawater rushes in to fill the space that was taken up by air, we know that transepts usually contain secondary entrances or chapels. Provided that the statement that 'if transepts usually contain secondary entrances or chapels, then if we know that the claim that alteration has disruptive effects is false, then a melanocyte is an epidermal cell' is incorrect, we know that explosive strength is a characteristic of performance that is common in many sporting endeavors. When the statement that 'if transepts usually contain secondary entrances or chapels, then if we know that the claim that alteration has disruptive effects is false, then a melanocyte is an epidermal cell' is incorrect is true, it follows that the statement 'explosive strength is a characteristic of performance that is common in many sporting endeavors' can be considered false. Should it be the case that some people mistakenly believe that if amino acids are expensive, and high protein needs can be met by eating a well-balanced diet, then lice look like dandruff, but the small, white creatures adhere to the hairs rather than the scalp, it follows that if quacks have (part) cell membranes, then recipes include beef. The claim that if quacks have (part) cell membranes, then recipes include beef does not reflect reality.
|
Those that suggest alteration has disruptive effects are right.
|
The claim that alteration has disruptive effects does not correspond with reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [3]. [SC1-3]
If [3], then (If (Not [0].), then [1].). [SC2-3]
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [3].
Therefore, If [2], then [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then [1].).).), then [6].
If (Not (If [3], then (If (Not [0].), then [1].).).), then (Not [6].).
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC2-2]
Modus Ponens:
If [4], then [2]. [SC1-3]
[4]
Therefore, [2].
[SC1-3]
Modus Tonens:
If (Not (If [4], then [2].).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [4], then [2]..
|
{0: 'Alteration has disruptive effects.', 1: 'A melanocyte is an epidermal cell.', 2: 'Lice look like dandruff, but the small, white creatures adhere to the hairs rather than the scalp.', 3: 'Transepts usually contain secondary entrances or chapels.', 4: 'Amino acids are expensive, and high protein needs can be met by eating a well-balanced diet.', 5: 'Seawater rushes in to fill the space that was taken up by air.', 6: 'Explosive strength is a characteristic of performance that is common in many sporting endeavors.', 7: 'Quacks have (part) cell membranes.', 8: 'Recipes include beef.'}
| 7 |
6,746 |
['We know that at least one of two things is true: neurons also travel by using chemical signals, or compassion also is demonstrated by showing humaneness and charity toward others.', "On the condition that the statement 'if neurons also travel by using chemical signals, then javelinas like to eat things that they can forage for in the desert' can be considered false, it is definitely the case that forests also improve our quality of life by providing abundant recreational opportunities.", "Once we know the statement 'if neurons also travel by using chemical signals, then javelinas like to eat things that they can forage for in the desert' can be considered false, we also know that the statement, forests also improve our quality of life by providing abundant recreational opportunities, does not hold.", 'Should it be the case that the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, it follows that some people mistakenly believe that spider plants have stolons.', 'It is not the case that if copper is the second most used metal in the world, then scintillation is light.', "Whenever it is true that the statement 'if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then it is not true that anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings' can be considered false, 'cataract surgery is one of the safest and most successful surgical procedures' is true.", "The notion that 'cataract surgery is one of the safest and most successful surgical procedures' is untrue.", 'We know that either either airplanes carry cargo or rooms have tables or some species are territorial, while others build their nests closer together.', 'Provided that either airplanes carry cargo or rooms have tables, we know that if the claim that if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings has no merit, then if copper is the second most used metal in the world, then scintillation is light.', 'If some species are territorial, while others build their nests closer together, then if the claim that if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings has no merit, then if copper is the second most used metal in the world, then scintillation is light.']
|
We know that at least one of two things is true: neurons also travel by using chemical signals, or compassion also is demonstrated by showing humaneness and charity toward others. On the condition that the statement 'if neurons also travel by using chemical signals, then javelinas like to eat things that they can forage for in the desert' can be considered false, it is definitely the case that forests also improve our quality of life by providing abundant recreational opportunities. Once we know the statement 'if neurons also travel by using chemical signals, then javelinas like to eat things that they can forage for in the desert' can be considered false, we also know that the statement, forests also improve our quality of life by providing abundant recreational opportunities, does not hold. Should it be the case that the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, it follows that some people mistakenly believe that spider plants have stolons. It is not the case that if copper is the second most used metal in the world, then scintillation is light. Whenever it is true that the statement 'if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then it is not true that anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings' can be considered false, 'cataract surgery is one of the safest and most successful surgical procedures' is true. The notion that 'cataract surgery is one of the safest and most successful surgical procedures' is untrue. We know that either either airplanes carry cargo or rooms have tables or some species are territorial, while others build their nests closer together. Provided that either airplanes carry cargo or rooms have tables, we know that if the claim that if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings has no merit, then if copper is the second most used metal in the world, then scintillation is light. If some species are territorial, while others build their nests closer together, then if the claim that if the statement, if the statement, if compassion also is demonstrated by showing humaneness and charity toward others, then javelinas like to eat things that they can forage for in the desert, does not hold, then spider plants have stolons, does not hold, then anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings has no merit, then if copper is the second most used metal in the world, then scintillation is light.
|
The statement 'javelinas like to eat things that they can forage for in the desert' is true.
|
Javelinas are animals.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [3].
If (Not (If [1], then [0].).), then (Not [3].).
Therefore, If [1], then [0]..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [4]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [4].).
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [0].).), then [4].).), then [5]. [SC1-3]
If (Not (If (Not (If [2], then [0].).), then [4].).), then (Not [5].). [SC2-3]
Therefore, If (Not (If [2], then [0].).), then [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [0].).), then [4].).), then [5].).), then (If [7], then [8].). [SC1-4]
Not (If [7], then [8].).
Therefore, If (Not (If (Not (If [2], then [0].).), then [4].).), then [5]..
[SC1-4]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If (Not (If (Not (If (Not (If [2], then [0].).), then [4].).), then [5].).), then (If [7], then [8].).).
If [11], then (If (Not (If (Not (If (Not (If [2], then [0].).), then [4].).), then [5].).), then (If [7], then [8].).).
Therefore, If (Not (If (Not (If (Not (If [2], then [0].).), then [4].).), then [5].).), then (If [7], then [8].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [0].).), then [4].).), then (Not [5].).).), then [6].
Not [6].
Therefore, If (Not (If (Not (If [2], then [0].).), then [4].).), then (Not [5].)..
|
{0: 'Javelinas like to eat things that they can forage for in the desert.', 1: 'Neurons also travel by using chemical signals.', 2: 'Compassion also is demonstrated by showing humaneness and charity toward others.', 3: 'Forests also improve our quality of life by providing abundant recreational opportunities.', 4: 'Spider plants have stolons.', 5: 'Anomalies is a database of all things paranormal - ghosts, UFOs, and other strange happenings.', 6: 'Cataract surgery is one of the safest and most successful surgical procedures.', 7: 'Copper is the second most used metal in the world.', 8: 'Scintillation is light.', 9: 'Airplanes carry cargo.', 10: 'Rooms have tables.', 11: 'Some species are territorial, while others build their nests closer together.'}
| 7 |
6,960 |
['We know that at least one of two things is true: puppies are home raised, socialized and are correct in size and temperament, or dogs visit homes.', "If puppies are home raised, socialized and are correct in size and temperament, then either most animals can have severe hypertension and show no outward signs that anything is wrong or either automobile accidents can result when sexual activity causes the driver's attention to stray or most children stop having febrile seizures as they grow older.", "If dogs visit homes, then either most animals can have severe hypertension and show no outward signs that anything is wrong or either automobile accidents can result when sexual activity causes the driver's attention to stray or most children stop having febrile seizures as they grow older.", 'There is good reason to believe that either reflexology is a deep compression massage done with the thumbs on feet and hands or anger enables children to defend against painful feelings of anxiety, hurt, guilt, worry, or loss.', 'On the condition that reflexology is a deep compression massage done with the thumbs on feet and hands, it is definitely the case that the claim that most animals can have severe hypertension and show no outward signs that anything is wrong does not reflect reality.', 'Assuming anger enables children to defend against painful feelings of anxiety, hurt, guilt, worry, or loss, we know that the claim that most animals can have severe hypertension and show no outward signs that anything is wrong does not reflect reality.', 'There is good reason to believe that either either good health is dependent upon having a good foundation for health or garment bags are located in closets or indian women tend to a baby who has been innoculated.', "Should it be the case that either good health is dependent upon having a good foundation for health or garment bags are located in closets, it follows that if automobile accidents can result when sexual activity causes the driver's attention to stray, then gallium arsenide has much greater mobility than silicon.", "Assuming indian women tend to a baby who has been innoculated, we know that if automobile accidents can result when sexual activity causes the driver's attention to stray, then gallium arsenide has much greater mobility than silicon.", "So long as most animals prey on other animals, 'if automobile accidents can result when sexual activity causes the driver's attention to stray, then some people mistakenly believe that gallium arsenide has much greater mobility than silicon' is true.", 'It is rational to agree that most animals prey on other animals.']
|
We know that at least one of two things is true: puppies are home raised, socialized and are correct in size and temperament, or dogs visit homes. If puppies are home raised, socialized and are correct in size and temperament, then either most animals can have severe hypertension and show no outward signs that anything is wrong or either automobile accidents can result when sexual activity causes the driver's attention to stray or most children stop having febrile seizures as they grow older. If dogs visit homes, then either most animals can have severe hypertension and show no outward signs that anything is wrong or either automobile accidents can result when sexual activity causes the driver's attention to stray or most children stop having febrile seizures as they grow older. There is good reason to believe that either reflexology is a deep compression massage done with the thumbs on feet and hands or anger enables children to defend against painful feelings of anxiety, hurt, guilt, worry, or loss. On the condition that reflexology is a deep compression massage done with the thumbs on feet and hands, it is definitely the case that the claim that most animals can have severe hypertension and show no outward signs that anything is wrong does not reflect reality. Assuming anger enables children to defend against painful feelings of anxiety, hurt, guilt, worry, or loss, we know that the claim that most animals can have severe hypertension and show no outward signs that anything is wrong does not reflect reality. There is good reason to believe that either either good health is dependent upon having a good foundation for health or garment bags are located in closets or indian women tend to a baby who has been innoculated. Should it be the case that either good health is dependent upon having a good foundation for health or garment bags are located in closets, it follows that if automobile accidents can result when sexual activity causes the driver's attention to stray, then gallium arsenide has much greater mobility than silicon. Assuming indian women tend to a baby who has been innoculated, we know that if automobile accidents can result when sexual activity causes the driver's attention to stray, then gallium arsenide has much greater mobility than silicon. So long as most animals prey on other animals, 'if automobile accidents can result when sexual activity causes the driver's attention to stray, then some people mistakenly believe that gallium arsenide has much greater mobility than silicon' is true. It is rational to agree that most animals prey on other animals.
|
The statement 'most children stop having febrile seizures as they grow older' can be considered true.
|
Most children remain with parents.
|
Uncertain
|
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].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [2] or (Either [1] or [0].).).
If [5], then (Either [2] or (Either [1] or [0].).).
Therefore, Either [2] or (Either [1] or [0].)..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [2].).
If [8], then (Not [2].).
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either (Either [9] or [10].) or [11].
If (Either [9] or [10].), then (If [1], then [3].).
If [11], then (If [1], then [3].).
Therefore, If [1], then [3]..
[SC2-2]
Modus Ponens:
If [6], then (If [1], then (Not [3].).).
[6]
Therefore, If [1], then (Not [3].)..
|
{0: 'Most children stop having febrile seizures as they grow older.', 1: "Automobile accidents can result when sexual activity causes the driver's attention to stray.", 2: 'Most animals can have severe hypertension and show no outward signs that anything is wrong.', 3: 'Gallium arsenide has much greater mobility than silicon.', 4: 'Puppies are home raised, socialized and are correct in size and temperament.', 5: 'Dogs visit homes.', 6: 'Most animals prey on other animals.', 7: 'Reflexology is a deep compression massage done with the thumbs on feet and hands.', 8: 'Anger enables children to defend against painful feelings of anxiety, hurt, guilt, worry, or loss.', 9: 'Good health is dependent upon having a good foundation for health.', 10: 'Garment bags are located in closets.', 11: 'Indian women tend to a baby who has been innoculated.'}
| 7 |
6,700 |
['It is rational to believe that either hyperpigmentation can occur in focal or diffuse forms or memes are to cultural inheritance what genes are to biological heredity.', 'If hyperpigmentation can occur in focal or diffuse forms, then if some men wear caps instead of helmets, then many German names have their roots in the Germanic middle ages.', 'Some people mistakenly believe that milk fat is a principal contributor to high cholesterol and artery-clogging atherosclerosis.', 'Should it be the case that it is not the case that if memes are to cultural inheritance what genes are to biological heredity, then if some men wear caps instead of helmets, then many German names have their roots in the Germanic middle ages, it follows that most insects live in locations.', 'One may reasonably assume that if primaries are the elections in which parties choose their candidates for the general election, then either milk fat is a principal contributor to high cholesterol and artery-clogging atherosclerosis or some men wear caps instead of helmets.', 'There is good reason to believe that either antifreeze is liquids or limited government is the norm for natural order, unlimited government the norm for disorder.', 'One may reasonably assume that if antifreeze is liquids, then the claim that most insects live in locations is false.', 'On the condition that limited government is the norm for natural order, unlimited government the norm for disorder, it is definitely the case that the claim that most insects live in locations is false.', 'Either one or both of these statements are true: either watts are the product of volts times current or religion is man made, or primaries are the elections in which parties choose their candidates for the general election.', 'The claim that either watts are the product of volts times current or religion is man made does not correspond with reality.']
|
It is rational to believe that either hyperpigmentation can occur in focal or diffuse forms or memes are to cultural inheritance what genes are to biological heredity. If hyperpigmentation can occur in focal or diffuse forms, then if some men wear caps instead of helmets, then many German names have their roots in the Germanic middle ages. Some people mistakenly believe that milk fat is a principal contributor to high cholesterol and artery-clogging atherosclerosis. Should it be the case that it is not the case that if memes are to cultural inheritance what genes are to biological heredity, then if some men wear caps instead of helmets, then many German names have their roots in the Germanic middle ages, it follows that most insects live in locations. One may reasonably assume that if primaries are the elections in which parties choose their candidates for the general election, then either milk fat is a principal contributor to high cholesterol and artery-clogging atherosclerosis or some men wear caps instead of helmets. There is good reason to believe that either antifreeze is liquids or limited government is the norm for natural order, unlimited government the norm for disorder. One may reasonably assume that if antifreeze is liquids, then the claim that most insects live in locations is false. On the condition that limited government is the norm for natural order, unlimited government the norm for disorder, it is definitely the case that the claim that most insects live in locations is false. Either one or both of these statements are true: either watts are the product of volts times current or religion is man made, or primaries are the elections in which parties choose their candidates for the general election. The claim that either watts are the product of volts times current or religion is man made does not correspond with reality.
|
The statement 'many German names have their roots in the Germanic middle ages' is true.
|
The statement 'many German names have their roots in the Germanic middle ages' is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [1], then [0].).
If [4], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If [1], then [0].).).), then [6].
Not [6]. [SC2-3]
Therefore, If [4], then (If [1], then [0].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [6].).
If [10], then (Not [6].).
Therefore, Not [6]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Modus Ponens:
If [5], then (Either [2] or [1].).
[5] [SC2-3]
Therefore, Either [2] or [1]..
[SC2-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or [5].
Not (Either [7] or [8].).
Therefore, [5].
|
{0: 'Many German names have their roots in the Germanic middle ages.', 1: 'Some men wear caps instead of helmets.', 2: 'Milk fat is a principal contributor to high cholesterol and artery-clogging atherosclerosis.', 3: 'Hyperpigmentation can occur in focal or diffuse forms.', 4: 'Memes are to cultural inheritance what genes are to biological heredity.', 5: 'Primaries are the elections in which parties choose their candidates for the general election.', 6: 'Most insects live in locations.', 7: 'Watts are the product of volts times current.', 8: 'Religion is man made.', 9: 'Antifreeze is liquids.', 10: 'Limited government is the norm for natural order, unlimited government the norm for disorder.'}
| 7 |
6,167 |
['Should it be the case that the claim that water can help relieve constipation is false, it follows that gerbils have (part) ears.', 'We know that either green herons stretch necks or desert plants produce large leaves.', 'Should it be the case that green herons stretch necks, it follows that either hardware is part of computers or the claim that gerbils have (part) ears does not reflect reality.', 'When desert plants produce large leaves is true, it follows that either hardware is part of computers or the claim that gerbils have (part) ears does not reflect reality.', 'The statement that states acetic acid is one step short of the simplest amino acid, glycine is false.', 'It is a fact that either if urchins use their short spines on the bottom, like hundreds of tiny legs, to walk, then decryption refers to any procedure to convert cipher text into plain text or if hockey is a force of nature, then if hardware is part of computers, then acetic acid is one step short of the simplest amino acid, glycine.', 'We know that the claim that if urchins use their short spines on the bottom, like hundreds of tiny legs, to walk, then decryption refers to any procedure to convert cipher text into plain text is false.', 'When the claim that hockey is a force of nature is false is true, it follows that either wastes generated by photoprocessors are primarily aqueous effluents or cricket is also popular.', 'If the claim that hockey is a force of nature is false, then some people mistakenly believe that either wastes generated by photoprocessors are primarily aqueous effluents or cricket is also popular.']
|
Should it be the case that the claim that water can help relieve constipation is false, it follows that gerbils have (part) ears. We know that either green herons stretch necks or desert plants produce large leaves. Should it be the case that green herons stretch necks, it follows that either hardware is part of computers or the claim that gerbils have (part) ears does not reflect reality. When desert plants produce large leaves is true, it follows that either hardware is part of computers or the claim that gerbils have (part) ears does not reflect reality. The statement that states acetic acid is one step short of the simplest amino acid, glycine is false. It is a fact that either if urchins use their short spines on the bottom, like hundreds of tiny legs, to walk, then decryption refers to any procedure to convert cipher text into plain text or if hockey is a force of nature, then if hardware is part of computers, then acetic acid is one step short of the simplest amino acid, glycine. We know that the claim that if urchins use their short spines on the bottom, like hundreds of tiny legs, to walk, then decryption refers to any procedure to convert cipher text into plain text is false. When the claim that hockey is a force of nature is false is true, it follows that either wastes generated by photoprocessors are primarily aqueous effluents or cricket is also popular. If the claim that hockey is a force of nature is false, then some people mistakenly believe that either wastes generated by photoprocessors are primarily aqueous effluents or cricket is also popular.
|
The claim that water can help relieve constipation holds true.
|
The claim that water can help relieve constipation has no merit.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [2] or (Not [1].).).
If [4], then (Either [2] or (Not [1].).).
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Modus Tonens:
If [2], then [5]. [SC1-3]
Not [5].
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [6], then (If [2], then [5].). [SC1-4]
[6] [SC2-4]
Therefore, If [2], then [5]..
[SC1-4]
Disjunctive Syllogism:
Either (If [9], then [10].) or (If [6], then (If [2], then [5].).).
Not (If [9], then [10].).
Therefore, If [6], then (If [2], then [5].)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [6].), then (Either [7] or [8].).
If (Not [6].), then (Not (Either [7] or [8].).).
Therefore, [6].
|
{0: 'Water can help relieve constipation .', 1: 'Gerbils have (part) ears.', 2: 'Hardware is part of computers.', 3: 'Green herons stretch necks.', 4: 'Desert plants produce large leaves.', 5: 'Acetic acid is one step short of the simplest amino acid, glycine.', 6: 'Hockey is a force of nature.', 7: 'Wastes generated by photoprocessors are primarily aqueous effluents.', 8: 'Cricket is also popular.', 9: 'Urchins use their short spines on the bottom, like hundreds of tiny legs, to walk.', 10: 'Decryption refers to any procedure to convert cipher text into plain text.'}
| 7 |
6,998 |
["The notion that 'yttriums are metallic elements' is untrue.", 'We know that either many people regain the weight after they stop dieting or sexual rights are human rights.', 'If sexual rights are human rights, then if the claim that if those that suggest game room games have types are wrong, then yttriums are metallic elements has no merit, then psoriasis occurs equally among men and women.', 'There is good reason to believe that either stress can make people with mental illness vulnerable to relapse or if total employment includes indirect employment through business sectors such as the service industry, then female crayfish have a circular opening, like a tiny doughnut, which is their seminal receptacle .', 'Provided that stress can make people with mental illness vulnerable to relapse, we know that it is a common misconception that psoriasis occurs equally among men and women.', "So long as if total employment includes indirect employment through business sectors such as the service industry, then female crayfish have a circular opening, like a tiny doughnut, which is their seminal receptacle , 'it is a common misconception that psoriasis occurs equally among men and women' is true.", 'Should it be the case that most live organisms have distinct structures, it follows that magnetic therapy is believed to help reduce inflammation, relieve muscle spasms and ease pain.', 'If magnetic therapy is believed to help reduce inflammation, relieve muscle spasms and ease pain, then if many people regain the weight after they stop dieting, then if the claim that if those that suggest game room games have types are wrong, then yttriums are metallic elements has no merit, then psoriasis occurs equally among men and women.', 'Assuming it is not true that most live organisms have distinct structures, we know that cants are talk.', 'Should it be the case that it is not true that most live organisms have distinct structures, it follows that it is not true that cants are talk.']
|
The notion that 'yttriums are metallic elements' is untrue. We know that either many people regain the weight after they stop dieting or sexual rights are human rights. If sexual rights are human rights, then if the claim that if those that suggest game room games have types are wrong, then yttriums are metallic elements has no merit, then psoriasis occurs equally among men and women. There is good reason to believe that either stress can make people with mental illness vulnerable to relapse or if total employment includes indirect employment through business sectors such as the service industry, then female crayfish have a circular opening, like a tiny doughnut, which is their seminal receptacle . Provided that stress can make people with mental illness vulnerable to relapse, we know that it is a common misconception that psoriasis occurs equally among men and women. So long as if total employment includes indirect employment through business sectors such as the service industry, then female crayfish have a circular opening, like a tiny doughnut, which is their seminal receptacle , 'it is a common misconception that psoriasis occurs equally among men and women' is true. Should it be the case that most live organisms have distinct structures, it follows that magnetic therapy is believed to help reduce inflammation, relieve muscle spasms and ease pain. If magnetic therapy is believed to help reduce inflammation, relieve muscle spasms and ease pain, then if many people regain the weight after they stop dieting, then if the claim that if those that suggest game room games have types are wrong, then yttriums are metallic elements has no merit, then psoriasis occurs equally among men and women. Assuming it is not true that most live organisms have distinct structures, we know that cants are talk. Should it be the case that it is not true that most live organisms have distinct structures, it follows that it is not true that cants are talk.
|
The claim that game room games have types is true.
|
Swimming are used for relaxation.
|
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]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not (If (Not [0].), then [1].).), then [2].). [SC2-3]
If [4], then (If (Not (If (Not [0].), then [1].).), then [2].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC2-3]
Modus Ponens:
If [8], then (If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).). [SC1-4]
[8] [SC2-4]
Therefore, If [3], then (If (Not (If (Not [0].), then [1].).), then [2].)..
[SC1-4]
Hypothetical Syllogism:
If [8], then [10].
If [10], then (If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).).
Therefore, If [8], then (If [3], then (If (Not (If (Not [0].), then [1].).), then [2].).)..
[SC2-4]
Reductio Ad Absurdum:
If (Not [8].), then [9].
If (Not [8].), then (Not [9].).
Therefore, [8].
[SC2-2]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Not [2].).
If (If [6], then [7].), then (Not [2].).
Therefore, Not [2]..
|
{0: 'Game room games have types.', 1: 'Yttriums are metallic elements.', 2: 'Psoriasis occurs equally among men and women.', 3: 'Many people regain the weight after they stop dieting.', 4: 'Sexual rights are human rights.', 5: 'Stress can make people with mental illness vulnerable to relapse.', 6: 'Total employment includes indirect employment through business sectors such as the service industry.', 7: 'Female crayfish have a circular opening, like a tiny doughnut, which is their seminal receptacle .', 8: 'Most live organisms have distinct structures.', 9: 'Cants are talk.', 10: 'Magnetic therapy is believed to help reduce inflammation, relieve muscle spasms and ease pain.'}
| 7 |
6,984 |
['Provided that holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit, we know that some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes.', "On the condition that the statement 'either holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit or tamarins eat sweet fruit' can be considered false, it is definitely the case that it is not true that pitches are the components of innings.", 'When some people mistakenly believe that if tamarins eat sweet fruit, then some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes is true, it follows that personification is people.', "So long as some people mistakenly believe that if tamarins eat sweet fruit, then some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes, 'the statement 'personification is people' can be considered false' is true.", "If it is not the case that if the statement 'either holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit or tamarins eat sweet fruit' can be considered false, then pitches are the components of innings, then most ink contains matter.", 'Should it be the case that most ink contains matter, it follows that if murder is homicide, then storms are one of the major hazards that are associated to coastal regions.', 'When if murder is homicide, then storms are one of the major hazards that are associated to coastal regions is true, it follows that heterotrophs absorb food.', 'It is a fact that either if water makes up four-fifths of our own bodies, then essential oils are another product of herbs or some people insist that body piercing in the special spot is erotic and sensual.', 'When if water makes up four-fifths of our own bodies, then essential oils are another product of herbs is true, it follows that if if murder is homicide, then storms are one of the major hazards that are associated to coastal regions, then the statement, heterotrophs absorb food, does not hold.', 'One may reasonably assume that if some people insist that body piercing in the special spot is erotic and sensual, then if if murder is homicide, then storms are one of the major hazards that are associated to coastal regions, then the statement, heterotrophs absorb food, does not hold.']
|
Provided that holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit, we know that some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes. On the condition that the statement 'either holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit or tamarins eat sweet fruit' can be considered false, it is definitely the case that it is not true that pitches are the components of innings. When some people mistakenly believe that if tamarins eat sweet fruit, then some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes is true, it follows that personification is people. So long as some people mistakenly believe that if tamarins eat sweet fruit, then some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes, 'the statement 'personification is people' can be considered false' is true. If it is not the case that if the statement 'either holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit or tamarins eat sweet fruit' can be considered false, then pitches are the components of innings, then most ink contains matter. Should it be the case that most ink contains matter, it follows that if murder is homicide, then storms are one of the major hazards that are associated to coastal regions. When if murder is homicide, then storms are one of the major hazards that are associated to coastal regions is true, it follows that heterotrophs absorb food. It is a fact that either if water makes up four-fifths of our own bodies, then essential oils are another product of herbs or some people insist that body piercing in the special spot is erotic and sensual. When if water makes up four-fifths of our own bodies, then essential oils are another product of herbs is true, it follows that if if murder is homicide, then storms are one of the major hazards that are associated to coastal regions, then the statement, heterotrophs absorb food, does not hold. One may reasonably assume that if some people insist that body piercing in the special spot is erotic and sensual, then if if murder is homicide, then storms are one of the major hazards that are associated to coastal regions, then the statement, heterotrophs absorb food, does not hold.
|
Some people mistakenly believe that cognitive psychologists conduct research on and often teach about a variety of cognitive processes.
|
Those that suggest cognitive psychologists conduct research on and often teach about a variety of cognitive processes are right.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].).
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [4]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [4].).
Therefore, Either [1] or [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [2].).), then [4].).), then (If [5], then [6].). [SC1-3]
Not (If [5], then [6].). [SC2-3]
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not (Either [1] or [2].).), then [4].).), then [7].
If [7], then (If [5], then [6].).
Therefore, If (Not (If (Not (Either [1] or [2].).), then [4].).), then (If [5], then [6].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [5], then [6].), then [8].
If (If [5], then [6].), then (Not [8].). [SC2-4]
Therefore, Not (If [5], then [6].)..
[SC2-4]
Disjunction Elimination:
Either (If [9], then [10].) or [11].
If (If [9], then [10].), then (If (If [5], then [6].), then (Not [8].).).
If [11], then (If (If [5], then [6].), then (Not [8].).).
Therefore, If (If [5], then [6].), then (Not [8].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [3].
If (Not (If [2], then (Not [0].).).), then (Not [3].).
Therefore, If [2], then (Not [0].)..
|
{0: 'Cognitive psychologists conduct research on and often teach about a variety of cognitive processes.', 1: 'Holy intercourse is the soul-enriching trade which believers carry on to their lasting benefit.', 2: 'Tamarins eat sweet fruit.', 3: 'Personification is people.', 4: 'Pitches are the components of innings.', 5: 'Murder is homicide.', 6: 'Storms are one of the major hazards that are associated to coastal regions.', 7: 'Most ink contains matter.', 8: 'Heterotrophs absorb food.', 9: 'Water makes up four-fifths of our own bodies.', 10: 'Essential oils are another product of herbs.', 11: 'Some people insist that body piercing in the special spot is erotic and sensual.'}
| 7 |
6,491 |
['One may reasonably assume that if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another.', "The statement 'some tree frogs have sticky pads' can be considered true.", 'We can assume that boasts are speech acts.', 'On the condition that if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food, it is definitely the case that intussusception occurs most commonly in babies between five and nine months of age.', 'We know that the claim that intussusception occurs most commonly in babies between five and nine months of age is false.', 'If giant puppets come to life with the magic of black light, then if boasts are speech acts, then either if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food or if some tree frogs have sticky pads, then if if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another, then the statement, diversification is conditions, does not hold.', 'On the condition that if wireworms do most of their damage in the early spring when they are near the soil surface, then ionizing radiation is radiation, it is definitely the case that if boasts are speech acts, then either if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food or if some tree frogs have sticky pads, then if if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another, then the statement, diversification is conditions, does not hold.', 'Either sharks visit sharks or all dogs have health problems in their pedigree.', 'On the condition that sharks visit sharks, it is definitely the case that giant puppets come to life with the magic of black light.', 'Should it be the case that all dogs have health problems in their pedigree, it follows that if wireworms do most of their damage in the early spring when they are near the soil surface, then ionizing radiation is radiation.']
|
One may reasonably assume that if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another. The statement 'some tree frogs have sticky pads' can be considered true. We can assume that boasts are speech acts. On the condition that if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food, it is definitely the case that intussusception occurs most commonly in babies between five and nine months of age. We know that the claim that intussusception occurs most commonly in babies between five and nine months of age is false. If giant puppets come to life with the magic of black light, then if boasts are speech acts, then either if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food or if some tree frogs have sticky pads, then if if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another, then the statement, diversification is conditions, does not hold. On the condition that if wireworms do most of their damage in the early spring when they are near the soil surface, then ionizing radiation is radiation, it is definitely the case that if boasts are speech acts, then either if breast cancer is a malignant tumor that develops from breast cells, then mandibles are used to crush food or if some tree frogs have sticky pads, then if if most wildlife can survive for weeks without food but only days without water, then interactive behavior comes into play when animals live in close proximity to one another, then the statement, diversification is conditions, does not hold. Either sharks visit sharks or all dogs have health problems in their pedigree. On the condition that sharks visit sharks, it is definitely the case that giant puppets come to life with the magic of black light. Should it be the case that all dogs have health problems in their pedigree, it follows that if wireworms do most of their damage in the early spring when they are near the soil surface, then ionizing radiation is radiation.
|
The statement, diversification is conditions, does not hold.
|
The statement, diversification is conditions, does not hold.
|
TRUE
|
Modus Ponens:
If (If [1], then [2].), then (Not [0].). [SC1-1]
If [1], then [2].
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [3], then (If (If [1], then [2].), then (Not [0].).). [SC1-2]
[3]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC1-2]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).). [SC1-3]
Not (If [4], then [5].). [SC2-3]
Therefore, If [3], then (If (If [1], then [2].), then (Not [0].).)..
[SC1-3]
Modus Ponens:
If [6], then (Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).).). [SC1-4]
[6]
Therefore, Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).)..
[SC1-4]
Disjunction Elimination:
Either [8] or (If [9], then [10].). [SC1-5]
If [8], then (If [6], then (Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).).).).
If (If [9], then [10].), then (If [6], then (Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).).).).
Therefore, If [6], then (Either (If [4], then [5].) or (If [3], then (If (If [1], then [2].), then (Not [0].).).).)..
[SC1-5]
Constructive Dilemma:
Either [11] or [12].
If [11], then [8].
If [12], then (If [9], then [10].).
Therefore, Either [8] or (If [9], then [10].)..
[SC2-3]
Modus Tonens:
If (If [4], then [5].), then [7].
Not [7].
Therefore, Not (If [4], then [5].)..
|
{0: 'Diversification is conditions.', 1: 'Most wildlife can survive for weeks without food but only days without water.', 2: 'Interactive behavior comes into play when animals live in close proximity to one another.', 3: 'Some tree frogs have sticky pads.', 4: 'Breast cancer is a malignant tumor that develops from breast cells.', 5: 'Mandibles are used to crush food.', 6: 'Boasts are speech acts.', 7: 'Intussusception occurs most commonly in babies between five and nine months of age.', 8: 'Giant puppets come to life with the magic of black light.', 9: 'Wireworms do most of their damage in the early spring when they are near the soil surface.', 10: 'Ionizing radiation is radiation.', 11: 'Sharks visit sharks.', 12: 'All dogs have health problems in their pedigree.'}
| 7 |
6,010 |
['It is a fact that either orioles have (part) cytoplasm or most plants have pollen grain.', 'Given that most plants have pollen grain, it can be inferred that either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more.', 'When some spores contain endosperms is true, it follows that social interaction occurs only a few days for breeding.', 'On the condition that social interaction occurs only a few days for breeding, it is definitely the case that some people mistakenly believe that variety is the virtue that often keeps criminal lawyers enamored of the practice.', 'Provided that if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more, we know that galagos are mammals.', 'We know that at least one of two things is true: diagional scarfs tend to deflect the woods less, and render smoother curves, or either scientists agree that exploding stars produced most of the materials found on earth or hagfishes have (part) breasts.', 'Assuming either scientists agree that exploding stars produced most of the materials found on earth or hagfishes have (part) breasts, we know that if orioles have (part) cytoplasm, then either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more.', "Given that the notion that 'if galagos are mammals, then some people mistakenly believe that variety is the virtue that often keeps criminal lawyers enamored of the practice' is untrue, it can be inferred that photoelectric interactions contribute to the full energy, which is usually of primary interest.", 'The claim that photoelectric interactions contribute to the full energy, which is usually of primary interest does not reflect reality.', 'Either thermocouples are the most popular type of temperature sensor or if diagional scarfs tend to deflect the woods less, and render smoother curves, then if orioles have (part) cytoplasm, then either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more.', 'The claim that thermocouples are the most popular type of temperature sensor does not correspond with reality.']
|
It is a fact that either orioles have (part) cytoplasm or most plants have pollen grain. Given that most plants have pollen grain, it can be inferred that either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more. When some spores contain endosperms is true, it follows that social interaction occurs only a few days for breeding. On the condition that social interaction occurs only a few days for breeding, it is definitely the case that some people mistakenly believe that variety is the virtue that often keeps criminal lawyers enamored of the practice. Provided that if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more, we know that galagos are mammals. We know that at least one of two things is true: diagional scarfs tend to deflect the woods less, and render smoother curves, or either scientists agree that exploding stars produced most of the materials found on earth or hagfishes have (part) breasts. Assuming either scientists agree that exploding stars produced most of the materials found on earth or hagfishes have (part) breasts, we know that if orioles have (part) cytoplasm, then either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more. Given that the notion that 'if galagos are mammals, then some people mistakenly believe that variety is the virtue that often keeps criminal lawyers enamored of the practice' is untrue, it can be inferred that photoelectric interactions contribute to the full energy, which is usually of primary interest. The claim that photoelectric interactions contribute to the full energy, which is usually of primary interest does not reflect reality. Either thermocouples are the most popular type of temperature sensor or if diagional scarfs tend to deflect the woods less, and render smoother curves, then if orioles have (part) cytoplasm, then either some spores contain endosperms or if economic progress is possible only in a world of rising prices, then most species have a complex life cycle of one year or more. The claim that thermocouples are the most popular type of temperature sensor does not correspond with reality.
|
Some people mistakenly believe that variety is the virtue that often keeps criminal lawyers enamored of the practice.
|
It is a simple truth that variety is the virtue that often keeps criminal lawyers enamored of the practice.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [1] or (If [2], then [3].).). [SC2-2]
If [5], then (Either [1] or (If [2], then [3].).).
Therefore, Either [1] or (If [2], then [3].)..
[SC2-2]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (If [4], then (Either [1] or (If [2], then [3].).).). [SC2-3]
If (Either [9] or [10].), then (If [4], then (Either [1] or (If [2], then [3].).).).
Therefore, If [4], then (Either [1] or (If [2], then [3].).)..
[SC2-3]
Disjunctive Syllogism:
Either [12] or (If [8], then (If [4], then (Either [1] or (If [2], then [3].).).).).
Not [12].
Therefore, If [8], then (If [4], then (Either [1] or (If [2], then [3].).).)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [7].
If [7], then (Not [0].).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [6].
If [6], then (Not [0].). [SC2-2]
Therefore, If (If [2], then [3].), then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If [6], then (Not [0].).).), then [11].
Not [11].
Therefore, If [6], then (Not [0].)..
|
{0: 'Variety is the virtue that often keeps criminal lawyers enamored of the practice.', 1: 'Some spores contain endosperms.', 2: 'Economic progress is possible only in a world of rising prices.', 3: 'Most species have a complex life cycle of one year or more.', 4: 'Orioles have (part) cytoplasm.', 5: 'Most plants have pollen grain.', 6: 'Galagos are mammals.', 7: 'Social interaction occurs only a few days for breeding.', 8: 'Diagional scarfs tend to deflect the woods less, and render smoother curves.', 9: 'Scientists agree that exploding stars produced most of the materials found on earth.', 10: 'Hagfishes have (part) breasts.', 11: 'Photoelectric interactions contribute to the full energy, which is usually of primary interest.', 12: 'Thermocouples are the most popular type of temperature sensor.'}
| 7 |
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