id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
| label
stringclasses 3
values | arg
stringlengths 54
2.02k
| statements
stringlengths 51
1.12k
| depth
int64 1
7
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|---|---|---|---|---|---|---|---|---|
4,651 |
['Some people mistakenly believe that wild strawberries arise from short thick rootstocks anchored to the ground by tough wiry roots.', 'One may reasonably assume that if the claim that if wild boars are a nuisance to the cultivators of hilly areas, then light layering with the color pencil is what gives the illusion of depth and life to a drawing does not correspond with reality, then either some gases affect pressure or panther chameleons have long tongues.', "So long as the claim that if wild boars are a nuisance to the cultivators of hilly areas, then light layering with the color pencil is what gives the illusion of depth and life to a drawing does not correspond with reality, 'the statement 'either some gases affect pressure or panther chameleons have long tongues' can be considered false' is true.", 'Provided that creeps are fear, we know that credit unions are democratic organizations directed by their members.', 'If credit unions are democratic organizations directed by their members, then light layering with the color pencil is what gives the illusion of depth and life to a drawing.', 'We know that either concomitant strabismus is, however, a frequent component of genetic syndromes or if the claim that either wild boars are a nuisance to the cultivators of hilly areas or creeps are fear does not correspond with reality, then wild strawberries arise from short thick rootstocks anchored to the ground by tough wiry roots.', 'The claim that concomitant strabismus is, however, a frequent component of genetic syndromes does not correspond with reality.']
|
Some people mistakenly believe that wild strawberries arise from short thick rootstocks anchored to the ground by tough wiry roots. One may reasonably assume that if the claim that if wild boars are a nuisance to the cultivators of hilly areas, then light layering with the color pencil is what gives the illusion of depth and life to a drawing does not correspond with reality, then either some gases affect pressure or panther chameleons have long tongues. So long as the claim that if wild boars are a nuisance to the cultivators of hilly areas, then light layering with the color pencil is what gives the illusion of depth and life to a drawing does not correspond with reality, 'the statement 'either some gases affect pressure or panther chameleons have long tongues' can be considered false' is true. Provided that creeps are fear, we know that credit unions are democratic organizations directed by their members. If credit unions are democratic organizations directed by their members, then light layering with the color pencil is what gives the illusion of depth and life to a drawing. We know that either concomitant strabismus is, however, a frequent component of genetic syndromes or if the claim that either wild boars are a nuisance to the cultivators of hilly areas or creeps are fear does not correspond with reality, then wild strawberries arise from short thick rootstocks anchored to the ground by tough wiry roots. The claim that concomitant strabismus is, however, a frequent component of genetic syndromes does not correspond with reality.
|
The claim that light layering with the color pencil is what gives the illusion of depth and life to a drawing is true.
|
Light comes from point sources.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3]. [SC1-2]
Not [3].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [1] or [2].).), then [3].).
Not [7].
Therefore, If (Not (Either [1] or [2].).), then [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then (Either [4] or [5].).
If (Not (If [1], then [0].).), then (Not (Either [4] or [5].).).
Therefore, If [1], then [0]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [6].
If [6], then [0].
Therefore, If [2], then [0]..
|
{0: 'Light layering with the color pencil is what gives the illusion of depth and life to a drawing.', 1: 'Wild boars are a nuisance to the cultivators of hilly areas.', 2: 'Creeps are fear.', 3: 'Wild strawberries arise from short thick rootstocks anchored to the ground by tough wiry roots.', 4: 'Some gases affect pressure.', 5: 'Panther chameleons have long tongues.', 6: 'Credit unions are democratic organizations directed by their members.', 7: 'Concomitant strabismus is, however, a frequent component of genetic syndromes.'}
| 5 |
4,669 |
['Assuming the statement that states either high numbers equal a lack of top predators or if clear breathing is critical to clear thinking, then winter is a time when flowers bloom in profusion and rain is infrequent is false, we know that electrons are contained in shells around the nucleus.', 'The claim that electrons are contained in shells around the nucleus is false.', 'When either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency is true, it follows that it is a common misconception that high numbers equal a lack of top predators.', 'It is a common misconception that people work homes.', "Whenever it is true that it is a common misconception that either people work homes or either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency, 'wildflower gardens provide functions' is true.", 'Once we know it is a common misconception that either people work homes or either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency, we also know that the statement that states wildflower gardens provide functions is false.']
|
Assuming the statement that states either high numbers equal a lack of top predators or if clear breathing is critical to clear thinking, then winter is a time when flowers bloom in profusion and rain is infrequent is false, we know that electrons are contained in shells around the nucleus. The claim that electrons are contained in shells around the nucleus is false. When either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency is true, it follows that it is a common misconception that high numbers equal a lack of top predators. It is a common misconception that people work homes. Whenever it is true that it is a common misconception that either people work homes or either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency, 'wildflower gardens provide functions' is true. Once we know it is a common misconception that either people work homes or either massage increases the body s own healing capabilities and improves muscular performance or light is a high frequency, we also know that the statement that states wildflower gardens provide functions is false.
|
Should it be the case that clear breathing is critical to clear thinking, it follows that winter is a time when flowers bloom in profusion and rain is infrequent.
|
Whenever it is true that clear breathing is critical to clear thinking, 'winter tends to be cold and snowy' is true.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then [3].
Not [3].
Therefore, Either [2] or (If [0], then [1].)..
[SC2-1]
Modus Ponens:
If (Either [4] or [5].), then (Not [2].).
Either [4] or [5]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].). [SC1-3]
Not [6].
Therefore, Either [4] or [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (Either [4] or [5].).).), then [7].
If (Not (Either [6] or (Either [4] or [5].).).), then (Not [7].).
Therefore, Either [6] or (Either [4] or [5].)..
|
{0: 'Clear breathing is critical to clear thinking.', 1: 'Winter is a time when flowers bloom in profusion and rain is infrequent.', 2: 'High numbers equal a lack of top predators.', 3: 'Electrons are contained in shells around the nucleus.', 4: 'Massage increases the body s own healing capabilities and improves muscular performance.', 5: 'Light is a high frequency.', 6: 'People work homes.', 7: 'Wildflower gardens provide functions.'}
| 5 |
4,504 |
['Provided that archaeological geology is, of necessity, a hybrid of at least two disciplines, we know that reputation is also a strong identification of self.', 'It is reasonable to believe that sin is a breakdown of relationship.', 'Once we know most wolves use hunt techniques, we also know that a dilator is a body part.', "The statement 'most wolves use hunt techniques' can be considered true.", "Whenever it is true that sin is a breakdown of relationship, 'crowded branches can also allow moisture to accumulate, creating the perfect environment for rot' is true.", 'Given that crowded branches can also allow moisture to accumulate, creating the perfect environment for rot, it can be inferred that if a dilator is a body part, then archaeological geology is, of necessity, a hybrid of at least two disciplines.']
|
Provided that archaeological geology is, of necessity, a hybrid of at least two disciplines, we know that reputation is also a strong identification of self. It is reasonable to believe that sin is a breakdown of relationship. Once we know most wolves use hunt techniques, we also know that a dilator is a body part. The statement 'most wolves use hunt techniques' can be considered true. Whenever it is true that sin is a breakdown of relationship, 'crowded branches can also allow moisture to accumulate, creating the perfect environment for rot' is true. Given that crowded branches can also allow moisture to accumulate, creating the perfect environment for rot, it can be inferred that if a dilator is a body part, then archaeological geology is, of necessity, a hybrid of at least two disciplines.
|
reputation is also a strong identification of self.
|
Reputation is built on trust and the possession of values.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2] [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [3], then (If [2], then [1].). [SC1-3]
[3]
Therefore, If [2], then [1]..
[SC1-3]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If [2], then [1].).
Therefore, If [3], then (If [2], then [1].)..
[SC2-2]
Modus Ponens:
If [4], then [2].
[4]
Therefore, [2].
|
{0: 'Reputation is also a strong identification of self.', 1: 'Archaeological geology is, of necessity, a hybrid of at least two disciplines.', 2: 'A dilator is a body part.', 3: 'Sin is a breakdown of relationship.', 4: 'Most wolves use hunt techniques.', 5: 'Crowded branches can also allow moisture to accumulate, creating the perfect environment for rot.'}
| 5 |
4,900 |
["The notion that 'a gram is a mass unit' is untrue.", "When the claim that people desire orgasm does not reflect reality is true, it follows that the statement 'linear actuators are actuators that move in a straight line' can be considered false.", 'When research is the process whereby the frontiers of knowledge are extended is true, it follows that either a gram is a mass unit or if people desire orgasm, then either most enormous jaws contain teeth or countries have inhabitants.', 'The claim that research is the process whereby the frontiers of knowledge are extended is true.', 'When the statement that states if the claim that people desire orgasm does not reflect reality, then linear actuators are actuators that move in a straight line is false is true, it follows that explosions cause destruction.', 'The statement, explosions cause destruction, does not hold.']
|
The notion that 'a gram is a mass unit' is untrue. When the claim that people desire orgasm does not reflect reality is true, it follows that the statement 'linear actuators are actuators that move in a straight line' can be considered false. When research is the process whereby the frontiers of knowledge are extended is true, it follows that either a gram is a mass unit or if people desire orgasm, then either most enormous jaws contain teeth or countries have inhabitants. The claim that research is the process whereby the frontiers of knowledge are extended is true. When the statement that states if the claim that people desire orgasm does not reflect reality, then linear actuators are actuators that move in a straight line is false is true, it follows that explosions cause destruction. The statement, explosions cause destruction, does not hold.
|
Either one or both of these statements are true: most enormous jaws contain teeth, or countries have inhabitants.
|
Either one or both of these statements are true: most enormous jaws contain teeth, or countries have inhabitants.
|
TRUE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If [2], then (Either [0] or [1].).). [SC1-2]
Not [4].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Modus Ponens:
If [6], then (Either [4] or (If [2], then (Either [0] or [1].).).).
[6]
Therefore, Either [4] or (If [2], then (Either [0] or [1].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [3]. [SC1-2]
If (Not [2].), then (Not [3].).
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (If (Not [2].), then [3].).), then [5].
Not [5].
Therefore, If (Not [2].), then [3]..
|
{0: 'Most enormous jaws contain teeth.', 1: 'Countries have inhabitants.', 2: 'People desire orgasm.', 3: 'Linear actuators are actuators that move in a straight line.', 4: 'A gram is a mass unit.', 5: 'Explosions cause destruction.', 6: 'Research is the process whereby the frontiers of knowledge are extended.'}
| 5 |
4,649 |
['We know that at least one of two things is true: heart is the source of love, and love is harmonious, or if the statement, all babies cry when they are undressed or exposed to unusual stimulus, does not hold, then ridges can occur both at the surface of the earth and at higher altitudes.', 'Provided that the statement, all babies cry when they are undressed or exposed to unusual stimulus, does not hold, we know that roof plates make big holes in the air.', 'On the condition that roof plates make big holes in the air, it is definitely the case that it is a common misconception that ridges can occur both at the surface of the earth and at higher altitudes.', "The notion that 'spider plants are sensitive to the chemicals in tap water' is untrue.", 'There is good reason to believe that either miscarriage is a devastating situation that is only made worse by unnecessary guilt or if compound machines are made up of two or more simple machines , then some diets consist of locusts.', 'Assuming miscarriage is a devastating situation that is only made worse by unnecessary guilt, we know that either spider plants are sensitive to the chemicals in tap water or the claim that heart is the source of love, and love is harmonious is false.', "Whenever it is true that if compound machines are made up of two or more simple machines , then some diets consist of locusts, 'either spider plants are sensitive to the chemicals in tap water or the claim that heart is the source of love, and love is harmonious is false' is true."]
|
We know that at least one of two things is true: heart is the source of love, and love is harmonious, or if the statement, all babies cry when they are undressed or exposed to unusual stimulus, does not hold, then ridges can occur both at the surface of the earth and at higher altitudes. Provided that the statement, all babies cry when they are undressed or exposed to unusual stimulus, does not hold, we know that roof plates make big holes in the air. On the condition that roof plates make big holes in the air, it is definitely the case that it is a common misconception that ridges can occur both at the surface of the earth and at higher altitudes. The notion that 'spider plants are sensitive to the chemicals in tap water' is untrue. There is good reason to believe that either miscarriage is a devastating situation that is only made worse by unnecessary guilt or if compound machines are made up of two or more simple machines , then some diets consist of locusts. Assuming miscarriage is a devastating situation that is only made worse by unnecessary guilt, we know that either spider plants are sensitive to the chemicals in tap water or the claim that heart is the source of love, and love is harmonious is false. Whenever it is true that if compound machines are made up of two or more simple machines , then some diets consist of locusts, 'either spider plants are sensitive to the chemicals in tap water or the claim that heart is the source of love, and love is harmonious is false' is true.
|
It is true that all babies cry when they are undressed or exposed to unusual stimulus.
|
The statement that 'all babies cry when they are undressed or exposed to unusual stimulus' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then [1].).
Not [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4].
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (Either [4] or (Not [3].).).
If (If [6], then [7].), then (Either [4] or (Not [3].).).
Therefore, Either [4] or (Not [3].)..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then (Not [1].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'All babies cry when they are undressed or exposed to unusual stimulus.', 1: 'Ridges can occur both at the surface of the earth and at higher altitudes.', 2: 'Roof plates make big holes in the air.', 3: 'Heart is the source of love, and love is harmonious.', 4: 'Spider plants are sensitive to the chemicals in tap water.', 5: 'Miscarriage is a devastating situation that is only made worse by unnecessary guilt.', 6: 'Compound machines are made up of two or more simple machines .', 7: 'Some diets consist of locusts.'}
| 5 |
4,931 |
['There is good reason to believe that either sciatic pain occurs when the disk presses one of the nerves that form the sciatic nerve or either either guys have (part) personality or pancreatic cancer is especially resistant to treatment, thus is in most cases incurable or either merozoites infect rbc, divide rapidly, lyse the infected rbc and release many more merozoites or other factors may have positive effects.', 'It is not true that sciatic pain occurs when the disk presses one of the nerves that form the sciatic nerve.', "The statement 'either body weight is a key factor for risk of CTS and shoulder-joint degeneration or a corona is radiance' can be considered false.", 'If we know that the claim that if either merozoites infect rbc, divide rapidly, lyse the infected rbc and release many more merozoites or other factors may have positive effects, then it is not the case that either some varieties resist leaf and soil-borne diseases and nematodes or radiation is a key tool in the treatment of certain kinds of cancer is false, then pesticides can be beneficial tools.', 'It is not true that pesticides can be beneficial tools.', "Given that most plants get light, it can be inferred that if the statement 'if either guys have (part) personality or pancreatic cancer is especially resistant to treatment, thus is in most cases incurable , then it is not the case that either some varieties resist leaf and soil-borne diseases and nematodes or radiation is a key tool in the treatment of certain kinds of cancer' can be considered false, then either body weight is a key factor for risk of CTS and shoulder-joint degeneration or a corona is radiance.", "The statement 'most plants get light' can be considered true."]
|
There is good reason to believe that either sciatic pain occurs when the disk presses one of the nerves that form the sciatic nerve or either either guys have (part) personality or pancreatic cancer is especially resistant to treatment, thus is in most cases incurable or either merozoites infect rbc, divide rapidly, lyse the infected rbc and release many more merozoites or other factors may have positive effects. It is not true that sciatic pain occurs when the disk presses one of the nerves that form the sciatic nerve. The statement 'either body weight is a key factor for risk of CTS and shoulder-joint degeneration or a corona is radiance' can be considered false. If we know that the claim that if either merozoites infect rbc, divide rapidly, lyse the infected rbc and release many more merozoites or other factors may have positive effects, then it is not the case that either some varieties resist leaf and soil-borne diseases and nematodes or radiation is a key tool in the treatment of certain kinds of cancer is false, then pesticides can be beneficial tools. It is not true that pesticides can be beneficial tools. Given that most plants get light, it can be inferred that if the statement 'if either guys have (part) personality or pancreatic cancer is especially resistant to treatment, thus is in most cases incurable , then it is not the case that either some varieties resist leaf and soil-borne diseases and nematodes or radiation is a key tool in the treatment of certain kinds of cancer' can be considered false, then either body weight is a key factor for risk of CTS and shoulder-joint degeneration or a corona is radiance. The statement 'most plants get light' can be considered true.
|
It is not the case that either some varieties resist leaf and soil-borne diseases and nematodes or radiation is a key tool in the treatment of certain kinds of cancer.
|
We know that at least one of two things is true: some varieties resist leaf and soil-borne diseases and nematodes, or radiation is a key tool in the treatment of certain kinds of cancer.
|
FALSE
|
Disjunction Elimination:
Either (Either [2] or [3].) or (Either [4] or [5].). [SC1-1]
If (Either [2] or [3].), then (Not (Either [0] or [1].).). [SC2-1]
If (Either [4] or [5].), then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [6] or (Either (Either [2] or [3].) or (Either [4] or [5].).).
Not [6].
Therefore, Either (Either [2] or [3].) or (Either [4] or [5].)..
[SC2-1]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (Not (Either [0] or [1].).).).), then (Either [7] or [8].). [SC1-2]
Not (Either [7] or [8].).
Therefore, If (Either [2] or [3].), then (Not (Either [0] or [1].).)..
[SC1-2]
Modus Ponens:
If [10], then (If (Not (If (Either [2] or [3].), then (Not (Either [0] or [1].).).).), then (Either [7] or [8].).).
[10]
Therefore, If (Not (If (Either [2] or [3].), then (Not (Either [0] or [1].).).).), then (Either [7] or [8].)..
[SC3-1]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (Not (Either [0] or [1].).).).), then [9].
Not [9].
Therefore, If (Either [4] or [5].), then (Not (Either [0] or [1].).)..
|
{0: 'Some varieties resist leaf and soil-borne diseases and nematodes.', 1: 'Radiation is a key tool in the treatment of certain kinds of cancer.', 2: 'Guys have (part) personality.', 3: 'Pancreatic cancer is especially resistant to treatment, thus is in most cases incurable .', 4: 'Merozoites infect rbc, divide rapidly, lyse the infected rbc and release many more merozoites.', 5: 'Other factors may have positive effects.', 6: 'Sciatic pain occurs when the disk presses one of the nerves that form the sciatic nerve.', 7: 'Body weight is a key factor for risk of CTS and shoulder-joint degeneration.', 8: 'A corona is radiance.', 9: 'Pesticides can be beneficial tools.', 10: 'Most plants get light.'}
| 5 |
4,300 |
['Once we know ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary, we also know that wolves find food.', "So long as either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits, 'wolves find food' is true.", 'We know that either atopic dermatitis is characterized by dry, itchy skin or radiation damage occurs in the site that is irradiated.', 'Assuming atopic dermatitis is characterized by dry, itchy skin, we know that either postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons or many bacteria have a system for determining their own population density.', 'Assuming radiation damage occurs in the site that is irradiated, we know that either postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons or many bacteria have a system for determining their own population density.', 'We know that at least one of two things is true: cigarette smoking causes most lung cancers , or fraternities are the antithesis of inclusiveness.', 'One may reasonably assume that if cigarette smoking causes most lung cancers , then if postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons, then ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary.', "So long as fraternities are the antithesis of inclusiveness, 'if postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons, then ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary' is true.", 'Should it be the case that those that suggest if many bacteria have a system for determining their own population density, then either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits are wrong, it follows that either legs have (part) corpi or meerkats live in a group called a colony.', 'When those that suggest if many bacteria have a system for determining their own population density, then either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits are wrong is true, it follows that the claim that either legs have (part) corpi or meerkats live in a group called a colony does not reflect reality.']
|
Once we know ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary, we also know that wolves find food. So long as either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits, 'wolves find food' is true. We know that either atopic dermatitis is characterized by dry, itchy skin or radiation damage occurs in the site that is irradiated. Assuming atopic dermatitis is characterized by dry, itchy skin, we know that either postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons or many bacteria have a system for determining their own population density. Assuming radiation damage occurs in the site that is irradiated, we know that either postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons or many bacteria have a system for determining their own population density. We know that at least one of two things is true: cigarette smoking causes most lung cancers , or fraternities are the antithesis of inclusiveness. One may reasonably assume that if cigarette smoking causes most lung cancers , then if postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons, then ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary. So long as fraternities are the antithesis of inclusiveness, 'if postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons, then ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary' is true. Should it be the case that those that suggest if many bacteria have a system for determining their own population density, then either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits are wrong, it follows that either legs have (part) corpi or meerkats live in a group called a colony. When those that suggest if many bacteria have a system for determining their own population density, then either pure sulfur is tasteless and odorless with a light yellow color or devices have circuits are wrong is true, it follows that the claim that either legs have (part) corpi or meerkats live in a group called a colony does not reflect reality.
|
It is a simple truth that wolves find food.
|
Wolves are known to kill large animals like wild horses.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0].
If (Either [2] or [3].), then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1]. [SC2-2]
If [5], then (Either [2] or [3].). [SC3-2]
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [4] or [5].).
If [7], then (Either [4] or [5].).
Therefore, Either [4] or [5]..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then [1].).
If [9], then (If [4], then [1].).
Therefore, If [4], then [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [2] or [3].).).), then (Either [10] or [11].).
If (Not (If [5], then (Either [2] or [3].).).), then (Not (Either [10] or [11].).).
Therefore, If [5], then (Either [2] or [3].)..
|
{0: 'Wolves find food.', 1: 'Ineffectual phrases are the expressions people use to delay or obstruct, to bewilder or make weary.', 2: 'Pure sulfur is tasteless and odorless with a light yellow color.', 3: 'Devices have circuits.', 4: 'Postoperative complications occur primarily when surgery is accomplished by inexperienced surgeons.', 5: 'Many bacteria have a system for determining their own population density.', 6: 'Atopic dermatitis is characterized by dry, itchy skin.', 7: 'Radiation damage occurs in the site that is irradiated.', 8: 'Cigarette smoking causes most lung cancers .', 9: 'Fraternities are the antithesis of inclusiveness.', 10: 'Legs have (part) corpi.', 11: 'Meerkats live in a group called a colony.'}
| 5 |
4,674 |
['If the claim that benefits arise from knowledge does not reflect reality, then moose eat aquatic plants.', "So long as moose eat aquatic plants, 'rabies occurs most often in wild animals' is true.", "Provided that the statement, if the statement that 'if the claim that benefits arise from knowledge does not reflect reality, then the claim that rabies occurs most often in wild animals does not correspond with reality' is incorrect, then aborigines wove their own fish traps to catch fish, does not hold, we know that either sparrows have (part) air sacs or white ants prefer wood.", "Provided that the statement, if the statement that 'if the claim that benefits arise from knowledge does not reflect reality, then the claim that rabies occurs most often in wild animals does not correspond with reality' is incorrect, then aborigines wove their own fish traps to catch fish, does not hold, we know that it is not true that either sparrows have (part) air sacs or white ants prefer wood.", 'It is a fact that either black squirrels are tree squirrels or healthy animals are less affected than animals in poor health.', "When black squirrels are tree squirrels is true, it follows that the statement 'aborigines wove their own fish traps to catch fish' can be considered false.", "On the condition that healthy animals are less affected than animals in poor health, it is definitely the case that the statement 'aborigines wove their own fish traps to catch fish' can be considered false."]
|
If the claim that benefits arise from knowledge does not reflect reality, then moose eat aquatic plants. So long as moose eat aquatic plants, 'rabies occurs most often in wild animals' is true. Provided that the statement, if the statement that 'if the claim that benefits arise from knowledge does not reflect reality, then the claim that rabies occurs most often in wild animals does not correspond with reality' is incorrect, then aborigines wove their own fish traps to catch fish, does not hold, we know that either sparrows have (part) air sacs or white ants prefer wood. Provided that the statement, if the statement that 'if the claim that benefits arise from knowledge does not reflect reality, then the claim that rabies occurs most often in wild animals does not correspond with reality' is incorrect, then aborigines wove their own fish traps to catch fish, does not hold, we know that it is not true that either sparrows have (part) air sacs or white ants prefer wood. It is a fact that either black squirrels are tree squirrels or healthy animals are less affected than animals in poor health. When black squirrels are tree squirrels is true, it follows that the statement 'aborigines wove their own fish traps to catch fish' can be considered false. On the condition that healthy animals are less affected than animals in poor health, it is definitely the case that the statement 'aborigines wove their own fish traps to catch fish' can be considered false.
|
It is a simple truth that benefits arise from knowledge.
|
It is a simple truth that benefits arise from knowledge.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then (Either [4] or [5].).
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then (Not (Either [4] or [5].).).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Benefits arise from knowledge.', 1: 'Rabies occurs most often in wild animals.', 2: 'Moose eat aquatic plants.', 3: 'Aborigines wove their own fish traps to catch fish.', 4: 'Sparrows have (part) air sacs.', 5: 'White ants prefer wood.', 6: 'Black squirrels are tree squirrels.', 7: 'Healthy animals are less affected than animals in poor health.'}
| 5 |
4,665 |
['Should it be the case that those that suggest either most hummingbirds grow feathers or most stingrays live at or near the bottom of the water , but some are pelagic are wrong, it follows that participants discuss investigations.', 'One may reasonably assume that if most hummingbirds grow feathers, then either natural tungsten contains five stable isotopes or fluorescence polarization assays for the detection of proteases and their inhibitors.', "Whenever it is true that flat planes are fire targets in a high-risk fire area where winds are unpredictable, 'the notion that 'participants discuss investigations' is untrue' is true.", 'It is fair to say that flat planes are fire targets in a high-risk fire area where winds are unpredictable.', "Should it be the case that the notion that 'if most hummingbirds grow feathers, then the claim that either natural tungsten contains five stable isotopes or fluorescence polarization assays for the detection of proteases and their inhibitors does not correspond with reality' is untrue, it follows that cells are often too small to be seen without a microscope.", 'The statement, cells are often too small to be seen without a microscope, does not hold.']
|
Should it be the case that those that suggest either most hummingbirds grow feathers or most stingrays live at or near the bottom of the water , but some are pelagic are wrong, it follows that participants discuss investigations. One may reasonably assume that if most hummingbirds grow feathers, then either natural tungsten contains five stable isotopes or fluorescence polarization assays for the detection of proteases and their inhibitors. Whenever it is true that flat planes are fire targets in a high-risk fire area where winds are unpredictable, 'the notion that 'participants discuss investigations' is untrue' is true. It is fair to say that flat planes are fire targets in a high-risk fire area where winds are unpredictable. Should it be the case that the notion that 'if most hummingbirds grow feathers, then the claim that either natural tungsten contains five stable isotopes or fluorescence polarization assays for the detection of proteases and their inhibitors does not correspond with reality' is untrue, it follows that cells are often too small to be seen without a microscope. The statement, cells are often too small to be seen without a microscope, does not hold.
|
It is the case that most stingrays live at or near the bottom of the water , but some are pelagic .
|
The statement that 'most stingrays live at or near the bottom of the water , but some are pelagic ' is incorrect.
|
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]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Ponens:
If [5], then (Not [2].).
[5]
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [3] or [4].).
If [1], then (Not (Either [3] or [4].).). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [1], then (Not (Either [3] or [4].).).).), then [6].
Not [6].
Therefore, If [1], then (Not (Either [3] or [4].).)..
|
{0: 'Most stingrays live at or near the bottom of the water , but some are pelagic .', 1: 'Most hummingbirds grow feathers.', 2: 'Participants discuss investigations.', 3: 'Natural tungsten contains five stable isotopes.', 4: 'Fluorescence polarization assays for the detection of proteases and their inhibitors.', 5: 'Flat planes are fire targets in a high-risk fire area where winds are unpredictable.', 6: 'Cells are often too small to be seen without a microscope.'}
| 5 |
4,570 |
['When those that suggest if the statement, departments have maps, does not hold, then water is something many people take for granted are wrong is true, it follows that religious groups make up the most common type of voluntary association in America.', 'One may reasonably assume that if those that suggest if the statement, departments have maps, does not hold, then water is something many people take for granted are wrong, then those that suggest religious groups make up the most common type of voluntary association in America are wrong.', "On the condition that some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, it is definitely the case that the notion that 'most organisms occur in aquatic environments' is untrue.", "If the statement 'if some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, then most organisms occur in aquatic environments' can be considered false, then it is not the case that a neighbour is a person.", "We know that either insects play a crucial role as a food source for other creatures in the freshwater biome or if the statement 'if some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, then most organisms occur in aquatic environments' can be considered false, then a neighbour is a person.", 'It is a common misconception that insects play a crucial role as a food source for other creatures in the freshwater biome.']
|
When those that suggest if the statement, departments have maps, does not hold, then water is something many people take for granted are wrong is true, it follows that religious groups make up the most common type of voluntary association in America. One may reasonably assume that if those that suggest if the statement, departments have maps, does not hold, then water is something many people take for granted are wrong, then those that suggest religious groups make up the most common type of voluntary association in America are wrong. On the condition that some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, it is definitely the case that the notion that 'most organisms occur in aquatic environments' is untrue. If the statement 'if some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, then most organisms occur in aquatic environments' can be considered false, then it is not the case that a neighbour is a person. We know that either insects play a crucial role as a food source for other creatures in the freshwater biome or if the statement 'if some people mistakenly believe that if the statement, departments have maps, does not hold, then the statement 'water is something many people take for granted' can be considered false, then most organisms occur in aquatic environments' can be considered false, then a neighbour is a person. It is a common misconception that insects play a crucial role as a food source for other creatures in the freshwater biome.
|
The claim that departments have maps is true.
|
The statement that 'departments have maps' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2].
If (Not (If (Not [0].), then [1].).), then (Not [2].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4]. [SC1-3]
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then (Not [4].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4].).
Not [5].
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4]..
|
{0: 'Departments have maps.', 1: 'Water is something many people take for granted.', 2: 'Religious groups make up the most common type of voluntary association in America.', 3: 'Most organisms occur in aquatic environments.', 4: 'A neighbour is a person.', 5: 'Insects play a crucial role as a food source for other creatures in the freshwater biome.'}
| 5 |
4,163 |
['Either blueberries grow in acid conditions and do poorly in alkaline Colorado soils or water is one of our most valuable natural resources.', 'Once we know blueberries grow in acid conditions and do poorly in alkaline Colorado soils, we also know that either bullfrogs are frogs or plants contain an enzyme called nitrate reductase.', 'When attics have (part) bases is true, it follows that the claim that bullfrogs are frogs does not correspond with reality.', "Whenever it is true that fill light is used to add light in the side of the object nearest the camera, 'the claim that bullfrogs are frogs does not correspond with reality' is true.", "So long as it is a common misconception that if water is one of our most valuable natural resources, then either bullfrogs are frogs or plants contain an enzyme called nitrate reductase, 'if most aloe plants produce thick leaves, then an inroad is a violation' is true.", "Whenever it is true that it is a common misconception that if water is one of our most valuable natural resources, then either bullfrogs are frogs or plants contain an enzyme called nitrate reductase, 'the statement that 'if most aloe plants produce thick leaves, then an inroad is a violation' is incorrect' is true.", 'We know that at least one of two things is true: either hawaiian coffee is the species arabica, which is comparable to fine, mild Central American coffees or inherited traits can interact with environmental carcinogens, or either attics have (part) bases or fill light is used to add light in the side of the object nearest the camera.', 'The claim that either hawaiian coffee is the species arabica, which is comparable to fine, mild Central American coffees or inherited traits can interact with environmental carcinogens does not correspond with reality.']
|
Either blueberries grow in acid conditions and do poorly in alkaline Colorado soils or water is one of our most valuable natural resources. Once we know blueberries grow in acid conditions and do poorly in alkaline Colorado soils, we also know that either bullfrogs are frogs or plants contain an enzyme called nitrate reductase. When attics have (part) bases is true, it follows that the claim that bullfrogs are frogs does not correspond with reality. Whenever it is true that fill light is used to add light in the side of the object nearest the camera, 'the claim that bullfrogs are frogs does not correspond with reality' is true. So long as it is a common misconception that if water is one of our most valuable natural resources, then either bullfrogs are frogs or plants contain an enzyme called nitrate reductase, 'if most aloe plants produce thick leaves, then an inroad is a violation' is true. Whenever it is true that it is a common misconception that if water is one of our most valuable natural resources, then either bullfrogs are frogs or plants contain an enzyme called nitrate reductase, 'the statement that 'if most aloe plants produce thick leaves, then an inroad is a violation' is incorrect' is true. We know that at least one of two things is true: either hawaiian coffee is the species arabica, which is comparable to fine, mild Central American coffees or inherited traits can interact with environmental carcinogens, or either attics have (part) bases or fill light is used to add light in the side of the object nearest the camera. The claim that either hawaiian coffee is the species arabica, which is comparable to fine, mild Central American coffees or inherited traits can interact with environmental carcinogens does not correspond with reality.
|
The claim that plants contain an enzyme called nitrate reductase holds true.
|
It is not the case that plants contain an enzyme called nitrate reductase.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [1] or [0].).
If [5], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [1] or [0].).).), then (If [6], then [7].).
If (Not (If [5], then (Either [1] or [0].).).), then (Not (If [6], then [7].).).
Therefore, If [5], then (Either [1] or [0].)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (Either [2] or [3].).
Not (Either [8] or [9].).
Therefore, Either [2] or [3]..
|
{0: 'Plants contain an enzyme called nitrate reductase.', 1: 'Bullfrogs are frogs.', 2: 'Attics have (part) bases.', 3: 'Fill light is used to add light in the side of the object nearest the camera.', 4: 'Blueberries grow in acid conditions and do poorly in alkaline Colorado soils.', 5: 'Water is one of our most valuable natural resources.', 6: 'Most aloe plants produce thick leaves.', 7: 'An inroad is a violation.', 8: 'Hawaiian coffee is the species arabica, which is comparable to fine, mild Central American coffees.', 9: 'Inherited traits can interact with environmental carcinogens.'}
| 5 |
4,336 |
['On the condition that it is a common misconception that boards have same patterns, it is definitely the case that tobacco companies fund black music, art, concerts, schools and churches.', 'When most turtles dig grass is true, it follows that if it is a common misconception that boards have same patterns, then it is not the case that tobacco companies fund black music, art, concerts, schools and churches.', 'One may reasonably assume that if bracteoles are narrow obvate rather than linear, then if it is a common misconception that boards have same patterns, then it is not the case that tobacco companies fund black music, art, concerts, schools and churches.', 'We know that at least one of two things is true: humans have fevers and plants have wilts, or if either males are more likely to die from cancer than females or some spiders occur in Africa, then either most turtles dig grass or bracteoles are narrow obvate rather than linear.', 'The claim that humans have fevers and plants have wilts has no merit.', 'Given that it is not the case that either males are more likely to die from cancer than females or some spiders occur in Africa, it can be inferred that a power tool is a tool.', 'Given that it is not the case that either males are more likely to die from cancer than females or some spiders occur in Africa, it can be inferred that the statement, a power tool is a tool, does not hold.']
|
On the condition that it is a common misconception that boards have same patterns, it is definitely the case that tobacco companies fund black music, art, concerts, schools and churches. When most turtles dig grass is true, it follows that if it is a common misconception that boards have same patterns, then it is not the case that tobacco companies fund black music, art, concerts, schools and churches. One may reasonably assume that if bracteoles are narrow obvate rather than linear, then if it is a common misconception that boards have same patterns, then it is not the case that tobacco companies fund black music, art, concerts, schools and churches. We know that at least one of two things is true: humans have fevers and plants have wilts, or if either males are more likely to die from cancer than females or some spiders occur in Africa, then either most turtles dig grass or bracteoles are narrow obvate rather than linear. The claim that humans have fevers and plants have wilts has no merit. Given that it is not the case that either males are more likely to die from cancer than females or some spiders occur in Africa, it can be inferred that a power tool is a tool. Given that it is not the case that either males are more likely to die from cancer than females or some spiders occur in Africa, it can be inferred that the statement, a power tool is a tool, does not hold.
|
Those that suggest boards have same patterns are right.
|
Those that suggest boards have same patterns are right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If (Either [4] or [5].), then (Either [2] or [3].). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, Either [2] or [3]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Either [4] or [5].), then (Either [2] or [3].).).
Not [7].
Therefore, If (Either [4] or [5].), then (Either [2] or [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [6].
If (Not (Either [4] or [5].).), then (Not [6].).
Therefore, Either [4] or [5]..
|
{0: 'Boards have same patterns.', 1: 'Tobacco companies fund black music, art, concerts, schools and churches.', 2: 'Most turtles dig grass.', 3: 'Bracteoles are narrow obvate rather than linear.', 4: 'Males are more likely to die from cancer than females.', 5: 'Some spiders occur in Africa.', 6: 'A power tool is a tool.', 7: 'Humans have fevers and plants have wilts.'}
| 5 |
4,059 |
['Once we know sidereal time is cosmic time, we also know that galls turn brown by late summer and in the fall become dry and corky.', "So long as the statement that states either economic loss is defined generally as damages other than physical harm to persons or property or sidereal time is cosmic time is false, 'matter particles are fermions' is true.", 'At least one of two things is true: some plants add warmth, or if economic loss is defined generally as damages other than physical harm to persons or property, then houses have furniture.', 'One may reasonably assume that if dogs live all across the world, then if the statement that states either economic loss is defined generally as damages other than physical harm to persons or property or sidereal time is cosmic time is false, then we know that the claim that matter particles are fermions is false.', 'It is true that dogs live all across the world.', 'Assuming some plants add warmth, we know that bulldogs have (part) chests.', 'When some plants add warmth is true, it follows that the claim that bulldogs have (part) chests has no merit.']
|
Once we know sidereal time is cosmic time, we also know that galls turn brown by late summer and in the fall become dry and corky. So long as the statement that states either economic loss is defined generally as damages other than physical harm to persons or property or sidereal time is cosmic time is false, 'matter particles are fermions' is true. At least one of two things is true: some plants add warmth, or if economic loss is defined generally as damages other than physical harm to persons or property, then houses have furniture. One may reasonably assume that if dogs live all across the world, then if the statement that states either economic loss is defined generally as damages other than physical harm to persons or property or sidereal time is cosmic time is false, then we know that the claim that matter particles are fermions is false. It is true that dogs live all across the world. Assuming some plants add warmth, we know that bulldogs have (part) chests. When some plants add warmth is true, it follows that the claim that bulldogs have (part) chests has no merit.
|
At least one of two things is true: houses have furniture, or galls turn brown by late summer and in the fall become dry and corky.
|
The statement 'either houses have furniture or galls turn brown by late summer and in the fall become dry and corky' can be considered false.
|
FALSE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1].
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [4].
If (Not (Either [2] or [3].).), then (Not [4].). [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [7], then (If (Not (Either [2] or [3].).), then (Not [4].).).
[7]
Therefore, If (Not (Either [2] or [3].).), then (Not [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then [0].).
Not [5]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If [5], then [6].
If [5], then (Not [6].).
Therefore, Not [5]..
|
{0: 'Houses have furniture.', 1: 'Galls turn brown by late summer and in the fall become dry and corky.', 2: 'Economic loss is defined generally as damages other than physical harm to persons or property.', 3: 'Sidereal time is cosmic time.', 4: 'Matter particles are fermions.', 5: 'Some plants add warmth.', 6: 'Bulldogs have (part) chests.', 7: 'Dogs live all across the world.'}
| 5 |
4,821 |
['Assuming it is not the case that vision can coordinate with hearing, but mostly through the emotional center paths, we know that either adenoids are almost never a factor in adults or average monthly temperature ranges from cs.', "The statement that 'test equipment is equipment' is incorrect.", 'The statement, opalescent glass is translucent and white with a greyish or bluish tint, does not hold.', 'Those that suggest either international cooperation is a hallmark of polar research or sliders is a program designed to aid recording of smear slide data are wrong.', "So long as the statement, either either international cooperation is a hallmark of polar research or sliders is a program designed to aid recording of smear slide data or either opalescent glass is translucent and white with a greyish or bluish tint or if either adenoids are almost never a factor in adults or average monthly temperature ranges from cs, then test equipment is equipment, does not hold, 'a head lice is infestation' is true.", "The notion that 'a head lice is infestation' is untrue."]
|
Assuming it is not the case that vision can coordinate with hearing, but mostly through the emotional center paths, we know that either adenoids are almost never a factor in adults or average monthly temperature ranges from cs. The statement that 'test equipment is equipment' is incorrect. The statement, opalescent glass is translucent and white with a greyish or bluish tint, does not hold. Those that suggest either international cooperation is a hallmark of polar research or sliders is a program designed to aid recording of smear slide data are wrong. So long as the statement, either either international cooperation is a hallmark of polar research or sliders is a program designed to aid recording of smear slide data or either opalescent glass is translucent and white with a greyish or bluish tint or if either adenoids are almost never a factor in adults or average monthly temperature ranges from cs, then test equipment is equipment, does not hold, 'a head lice is infestation' is true. The notion that 'a head lice is infestation' is untrue.
|
The statement 'vision can coordinate with hearing, but mostly through the emotional center paths' can be considered true.
|
Vision is inward seeing, much like prophecy but rather than being auditory or written, it's visual.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].).
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [3]. [SC1-2]
Not [3].
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Either [1] or [2].), then [3].). [SC1-3]
Not [4].
Therefore, If (Either [1] or [2].), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (Either [4] or (If (Either [1] or [2].), then [3].).). [SC1-4]
Not (Either [5] or [6].).
Therefore, Either [4] or (If (Either [1] or [2].), then [3].)..
[SC1-4]
Modus Tonens:
If (Not (Either (Either [5] or [6].) or (Either [4] or (If (Either [1] or [2].), then [3].).).).), then [7].
Not [7].
Therefore, Either (Either [5] or [6].) or (Either [4] or (If (Either [1] or [2].), then [3].).)..
|
{0: 'Vision can coordinate with hearing, but mostly through the emotional center paths.', 1: 'Adenoids are almost never a factor in adults.', 2: 'Average monthly temperature ranges from cs.', 3: 'Test equipment is equipment.', 4: 'Opalescent glass is translucent and white with a greyish or bluish tint.', 5: 'International cooperation is a hallmark of polar research.', 6: 'Sliders is a program designed to aid recording of smear slide data.', 7: 'A head lice is infestation.'}
| 5 |
4,933 |
["So long as if glaciers respond to both pronounced and subtle changes in climate, then bluefishes have (part) nuclei, 'the statement that states some laurels suppress growth is false' is true.", 'Once we know minerals are vital to human life, we also know that either either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae or if if glaciers respond to both pronounced and subtle changes in climate, then bluefishes have (part) nuclei, then some laurels suppress growth.', 'minerals are vital to human life.', 'If either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae, then the statement, golden rhododendrons are in bud, growing low enough to be a ground cover hugging the slopes, does not hold.', 'On the condition that either flatworms have both male and female sex organs or aborigine paintings look like X-Rays, it is definitely the case that if either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae, then golden rhododendrons are in bud, growing low enough to be a ground cover hugging the slopes.', 'It is a fact that either flatworms have both male and female sex organs or aborigine paintings look like X-Rays.']
|
So long as if glaciers respond to both pronounced and subtle changes in climate, then bluefishes have (part) nuclei, 'the statement that states some laurels suppress growth is false' is true. Once we know minerals are vital to human life, we also know that either either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae or if if glaciers respond to both pronounced and subtle changes in climate, then bluefishes have (part) nuclei, then some laurels suppress growth. minerals are vital to human life. If either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae, then the statement, golden rhododendrons are in bud, growing low enough to be a ground cover hugging the slopes, does not hold. On the condition that either flatworms have both male and female sex organs or aborigine paintings look like X-Rays, it is definitely the case that if either water is also a coolant or all species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae, then golden rhododendrons are in bud, growing low enough to be a ground cover hugging the slopes. It is a fact that either flatworms have both male and female sex organs or aborigine paintings look like X-Rays.
|
The statement that 'if glaciers respond to both pronounced and subtle changes in climate, then bluefishes have (part) nuclei' is incorrect.
|
It is not true that glaciers are gravity-driven.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If (If [0], then [1].), then [2].). [SC1-2]
Not (Either [3] or [4].). [SC2-2]
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Modus Ponens:
If [5], then (Either (Either [3] or [4].) or (If (If [0], then [1].), then [2].).).
[5]
Therefore, Either (Either [3] or [4].) or (If (If [0], then [1].), then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Either [3] or [4].), then [6]. [SC1-3]
If (Either [3] or [4].), then (Not [6].).
Therefore, Not (Either [3] or [4].)..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (If (Either [3] or [4].), then [6].).
Either [7] or [8].
Therefore, If (Either [3] or [4].), then [6]..
|
{0: 'Glaciers respond to both pronounced and subtle changes in climate.', 1: 'Bluefishes have (part) nuclei.', 2: 'Some laurels suppress growth.', 3: 'Water is also a coolant.', 4: 'All species provision their nests with paralysed lepidopteran, symphytan, or coleopteran larvae.', 5: 'Minerals are vital to human life.', 6: 'Golden rhododendrons are in bud, growing low enough to be a ground cover hugging the slopes.', 7: 'Flatworms have both male and female sex organs.', 8: 'Aborigine paintings look like X-Rays.'}
| 5 |
4,490 |
["So long as hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, 'it is not the case that tortilla chips are snack food' is true.", 'When the claim that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it does not reflect reality is true, it follows that information is data in context, data that has meaning, relevance, and purpose.', 'It is rational to believe that either if oral corticosteroids are used to treat COPD when symptoms get rapidly worse, then emotions are so high that people are driven by self-guided principles or if the claim that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it does not reflect reality, then it is a common misconception that information is data in context, data that has meaning, relevance, and purpose.', 'It is not the case that most people think that cats purr because they are content, but cats purr when they are in pain, too.', 'It is rational to believe that either green tea can be drunk, or it can be swallowed in the form of a tablet or capsule or total ammonia is of concern because of hypoxia issues in the Gulf of Mexico.', 'Once we know green tea can be drunk, or it can be swallowed in the form of a tablet or capsule, we also know that most people think that cats purr because they are content, but cats purr when they are in pain, too.', 'Once we know total ammonia is of concern because of hypoxia issues in the Gulf of Mexico, we also know that the claim that if oral corticosteroids are used to treat COPD when symptoms get rapidly worse, then emotions are so high that people are driven by self-guided principles does not reflect reality.']
|
So long as hydrogenation solidifies the oil by pushing bubbles of hydrogen through it, 'it is not the case that tortilla chips are snack food' is true. When the claim that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it does not reflect reality is true, it follows that information is data in context, data that has meaning, relevance, and purpose. It is rational to believe that either if oral corticosteroids are used to treat COPD when symptoms get rapidly worse, then emotions are so high that people are driven by self-guided principles or if the claim that hydrogenation solidifies the oil by pushing bubbles of hydrogen through it does not reflect reality, then it is a common misconception that information is data in context, data that has meaning, relevance, and purpose. It is not the case that most people think that cats purr because they are content, but cats purr when they are in pain, too. It is rational to believe that either green tea can be drunk, or it can be swallowed in the form of a tablet or capsule or total ammonia is of concern because of hypoxia issues in the Gulf of Mexico. Once we know green tea can be drunk, or it can be swallowed in the form of a tablet or capsule, we also know that most people think that cats purr because they are content, but cats purr when they are in pain, too. Once we know total ammonia is of concern because of hypoxia issues in the Gulf of Mexico, we also know that the claim that if oral corticosteroids are used to treat COPD when symptoms get rapidly worse, then emotions are so high that people are driven by self-guided principles does not reflect reality.
|
It is not the case that tortilla chips are snack food.
|
It is not the case that tortilla chips are snack food.
|
TRUE
|
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]
Disjunctive Syllogism:
Either (If [3], then [4].) or (If (Not [1].), then (Not [2].).).
Not (If [3], then [4].). [SC2-3]
Therefore, If (Not [1].), then (Not [2].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not (If [3], then [4].).). [SC1-4]
Not [5].
Therefore, Not (If [3], then [4].)..
[SC1-4]
Constructive Dilemma:
Either [6] or [7].
If [6], then [5].
If [7], then (Not (If [3], then [4].).).
Therefore, Either [5] or (Not (If [3], then [4].).)..
|
{0: 'Tortilla chips are snack food.', 1: 'Hydrogenation solidifies the oil by pushing bubbles of hydrogen through it.', 2: 'Information is data in context, data that has meaning, relevance, and purpose.', 3: 'Oral corticosteroids are used to treat COPD when symptoms get rapidly worse.', 4: 'Emotions are so high that people are driven by self-guided principles.', 5: 'Most people think that cats purr because they are content, but cats purr when they are in pain, too.', 6: 'Green tea can be drunk, or it can be swallowed in the form of a tablet or capsule.', 7: 'Total ammonia is of concern because of hypoxia issues in the Gulf of Mexico.'}
| 5 |
4,787 |
['When voltage energizes phosphor atoms is true, it follows that if the claim that many distance runners train at high altitude does not reflect reality, then parenchymatic cortex is present under the epidermis.', 'Those that suggest voltage energizes phosphor atoms are right.', "Provided that the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, we know that we know that the claim that job candidates have significant experience is false.", "The claim that bats click and clack and flit and flee every evening before their long night's journey is false.", "Should it be the case that some people mistakenly believe that if the statement 'if the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, then job candidates have significant experience' can be considered false, then bats click and clack and flit and flee every evening before their long night's journey, it follows that if velocipede is a shareware program, then animal foods includes all foods which are made from animals or produced by animals.", "If some people mistakenly believe that if the statement 'if the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, then job candidates have significant experience' can be considered false, then bats click and clack and flit and flee every evening before their long night's journey, then those that suggest if velocipede is a shareware program, then animal foods includes all foods which are made from animals or produced by animals are wrong."]
|
When voltage energizes phosphor atoms is true, it follows that if the claim that many distance runners train at high altitude does not reflect reality, then parenchymatic cortex is present under the epidermis. Those that suggest voltage energizes phosphor atoms are right. Provided that the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, we know that we know that the claim that job candidates have significant experience is false. The claim that bats click and clack and flit and flee every evening before their long night's journey is false. Should it be the case that some people mistakenly believe that if the statement 'if the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, then job candidates have significant experience' can be considered false, then bats click and clack and flit and flee every evening before their long night's journey, it follows that if velocipede is a shareware program, then animal foods includes all foods which are made from animals or produced by animals. If some people mistakenly believe that if the statement 'if the statement 'if the claim that many distance runners train at high altitude does not reflect reality, then it is not true that parenchymatic cortex is present under the epidermis' can be considered false, then job candidates have significant experience' can be considered false, then bats click and clack and flit and flee every evening before their long night's journey, then those that suggest if velocipede is a shareware program, then animal foods includes all foods which are made from animals or produced by animals are wrong.
|
The statement that states many distance runners train at high altitude is right.
|
The statement that states many distance runners train at high altitude is right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [3].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4]. [SC1-3]
Not [4].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4].).), then (If [5], then [6].).
If (Not (If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4].).), then (Not (If [5], then [6].).).
Therefore, If (Not (If (Not (If (Not [0].), then (Not [1].).).), then [3].).), then [4]..
|
{0: 'Many distance runners train at high altitude.', 1: 'Parenchymatic cortex is present under the epidermis.', 2: 'Voltage energizes phosphor atoms.', 3: 'Job candidates have significant experience.', 4: "Bats click and clack and flit and flee every evening before their long night's journey.", 5: 'Velocipede is a shareware program.', 6: 'Animal foods includes all foods which are made from animals or produced by animals.'}
| 5 |
4,449 |
['When the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false is true, it follows that many studies link obesity and a high fat diet with tumors.', 'Assuming advanced nations are are experiencing the aging of society, we know that erosion is just one process that can form waterfalls.', 'It is rational to agree that advanced nations are are experiencing the aging of society.', 'Either one or both of these statements are true: either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, or different cultures develop their own formal and informal ways of dealing with conflicts.', "When different cultures develop their own formal and informal ways of dealing with conflicts is true, it follows that if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false.", "On the condition that the claim that if either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, then if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false has no merit, it is definitely the case that a mispronunciation is pronunciation.", "Assuming the claim that if either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, then if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false has no merit, we know that the notion that 'a mispronunciation is pronunciation' is untrue."]
|
When the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false is true, it follows that many studies link obesity and a high fat diet with tumors. Assuming advanced nations are are experiencing the aging of society, we know that erosion is just one process that can form waterfalls. It is rational to agree that advanced nations are are experiencing the aging of society. Either one or both of these statements are true: either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, or different cultures develop their own formal and informal ways of dealing with conflicts. When different cultures develop their own formal and informal ways of dealing with conflicts is true, it follows that if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false. On the condition that the claim that if either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, then if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false has no merit, it is definitely the case that a mispronunciation is pronunciation. Assuming the claim that if either lampoon can be both a verb and a noun or optical zoom is a very important feature on a digital camera, then if the claim that if erosion is just one process that can form waterfalls, then some manufacturers restrict or forbid sales of their products via the internet is false, then the statement 'many studies link obesity and a high fat diet with tumors' can be considered false has no merit, we know that the notion that 'a mispronunciation is pronunciation' is untrue.
|
We can assume that some manufacturers restrict or forbid sales of their products via the internet.
|
Manufacturers create superior products.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (If (Not (If [1], then [0].).), then (Not [2].).). [SC2-3]
If [6], then (If (Not (If [1], then [0].).), then (Not [2].).).
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (If (Not (If [1], then [0].).), then (Not [2].).).).), then [7].
If (Not (If (Either [4] or [5].), then (If (Not (If [1], then [0].).), then (Not [2].).).).), then (Not [7].).
Therefore, If (Either [4] or [5].), then (If (Not (If [1], then [0].).), then (Not [2].).)..
[SC2-1]
Modus Ponens:
If [3], then [1].
[3]
Therefore, [1].
|
{0: 'Some manufacturers restrict or forbid sales of their products via the internet.', 1: 'Erosion is just one process that can form waterfalls.', 2: 'Many studies link obesity and a high fat diet with tumors.', 3: 'Advanced nations are are experiencing the aging of society.', 4: 'Lampoon can be both a verb and a noun.', 5: 'Optical zoom is a very important feature on a digital camera.', 6: 'Different cultures develop their own formal and informal ways of dealing with conflicts.', 7: 'A mispronunciation is pronunciation.'}
| 5 |
4,703 |
["So long as it is a common misconception that either faith is made possible by the in dwelling of the spirit and the revelation of scripture or if cancer is a disease of the cell cycle, then decongestants can help reduce the swelling in the eustachian tube and relieve ear pressure, 'synchrotron radiation is one tool in learning which plants do it best' is true.", "The statement that 'synchrotron radiation is one tool in learning which plants do it best' is incorrect.", 'Provided that older people adjust their behaviour to compensate for physical declines, we know that lightning can hit in more then one place.', 'If electrical inspectors perform duties, then if if cancer is a disease of the cell cycle, then decongestants can help reduce the swelling in the eustachian tube and relieve ear pressure, then lightning can hit in more then one place.', 'Those that suggest electrical inspectors perform duties are right.', 'When the statement, if faith is made possible by the in dwelling of the spirit and the revelation of scripture, then older people adjust their behaviour to compensate for physical declines, does not hold is true, it follows that if a stalker is a footer, then anaphylactic shock is a very serious condition and requires immediate hospital treatment.', 'The claim that if a stalker is a footer, then anaphylactic shock is a very serious condition and requires immediate hospital treatment is false.']
|
So long as it is a common misconception that either faith is made possible by the in dwelling of the spirit and the revelation of scripture or if cancer is a disease of the cell cycle, then decongestants can help reduce the swelling in the eustachian tube and relieve ear pressure, 'synchrotron radiation is one tool in learning which plants do it best' is true. The statement that 'synchrotron radiation is one tool in learning which plants do it best' is incorrect. Provided that older people adjust their behaviour to compensate for physical declines, we know that lightning can hit in more then one place. If electrical inspectors perform duties, then if if cancer is a disease of the cell cycle, then decongestants can help reduce the swelling in the eustachian tube and relieve ear pressure, then lightning can hit in more then one place. Those that suggest electrical inspectors perform duties are right. When the statement, if faith is made possible by the in dwelling of the spirit and the revelation of scripture, then older people adjust their behaviour to compensate for physical declines, does not hold is true, it follows that if a stalker is a footer, then anaphylactic shock is a very serious condition and requires immediate hospital treatment. The claim that if a stalker is a footer, then anaphylactic shock is a very serious condition and requires immediate hospital treatment is false.
|
We can assume that lightning can hit in more then one place.
|
Those that suggest lightning can hit in more then one place are wrong.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (If [2], then [3].).).), then [4].
Not [4].
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [6]. [SC1-2]
If [6], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [6].).), then (If [7], then [8].).
Not (If [7], then [8].).
Therefore, If [1], then [6]..
[SC3-1]
Modus Ponens:
If [5], then (If (If [2], then [3].), then [0].).
[5]
Therefore, If (If [2], then [3].), then [0]..
|
{0: 'Lightning can hit in more then one place.', 1: 'Faith is made possible by the in dwelling of the spirit and the revelation of scripture.', 2: 'Cancer is a disease of the cell cycle.', 3: 'Decongestants can help reduce the swelling in the eustachian tube and relieve ear pressure.', 4: 'Synchrotron radiation is one tool in learning which plants do it best.', 5: 'Electrical inspectors perform duties.', 6: 'Older people adjust their behaviour to compensate for physical declines.', 7: 'A stalker is a footer.', 8: 'Anaphylactic shock is a very serious condition and requires immediate hospital treatment.'}
| 5 |
4,437 |
["Whenever it is true that some brants have short necks, 'tortoises inhabit warm regions of all continents except Australia' is true.", 'Provided that most nutrias have poor eyesights, we know that if the claim that some brants have short necks has no merit, then caterpillars have appearances.', 'Either one or both of these statements are true: if tooths are located in jaws, then most people get genital herpes by having sex with someone who is having a herpes outbreak, or some cardinals inhabit parks.', 'Once we know if tooths are located in jaws, then most people get genital herpes by having sex with someone who is having a herpes outbreak, we also know that the statement that states caterpillars have appearances is false.', "So long as some cardinals inhabit parks, 'the statement that states caterpillars have appearances is false' is true.", "When the claim that most nutrias have poor eyesights is false is true, it follows that orcas can leap out of the water to 'breach'.", "If the claim that most nutrias have poor eyesights is false, then the claim that orcas can leap out of the water to 'breach' does not reflect reality."]
|
Whenever it is true that some brants have short necks, 'tortoises inhabit warm regions of all continents except Australia' is true. Provided that most nutrias have poor eyesights, we know that if the claim that some brants have short necks has no merit, then caterpillars have appearances. Either one or both of these statements are true: if tooths are located in jaws, then most people get genital herpes by having sex with someone who is having a herpes outbreak, or some cardinals inhabit parks. Once we know if tooths are located in jaws, then most people get genital herpes by having sex with someone who is having a herpes outbreak, we also know that the statement that states caterpillars have appearances is false. So long as some cardinals inhabit parks, 'the statement that states caterpillars have appearances is false' is true. When the claim that most nutrias have poor eyesights is false is true, it follows that orcas can leap out of the water to 'breach'. If the claim that most nutrias have poor eyesights is false, then the claim that orcas can leap out of the water to 'breach' does not reflect reality.
|
It is rational to agree that tortoises inhabit warm regions of all continents except Australia.
|
Tortoises feed on shrubs.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [6], then (If (Not [1].), then [2].).
[6] [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not [6].), then [7].
If (Not [6].), then (Not [7].).
Therefore, [6].
[SC2-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (Not [2].).
If [5], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Tortoises inhabit warm regions of all continents except Australia.', 1: 'Some brants have short necks.', 2: 'Caterpillars have appearances.', 3: 'Tooths are located in jaws.', 4: 'Most people get genital herpes by having sex with someone who is having a herpes outbreak.', 5: 'Some cardinals inhabit parks.', 6: 'Most nutrias have poor eyesights.', 7: "Orcas can leap out of the water to 'breach'."}
| 5 |
4,563 |
["The statement 'either some thrips are predacious on other small arthropods, and many feed on fungal spores or geographers work in business, industry, government, and teaching' can be considered false.", "When vaccination is the single most important measure to control Japanese encephalitis is true, it follows that if the notion that 'masturbation is often a healthy and safe way to express oneself sexually' is untrue, then either some thrips are predacious on other small arthropods, and many feed on fungal spores or geographers work in business, industry, government, and teaching.", "Whenever it is true that some people mistakenly believe that either recorder is the object that bridges the gap between the client code and the multimedia subsystem or vaccination is the single most important measure to control Japanese encephalitis, 'nuclear physics unleases the bomb and nuclear energy' is true.", 'It is not true that nuclear physics unleases the bomb and nuclear energy.', 'Once we know recorder is the object that bridges the gap between the client code and the multimedia subsystem, we also know that pollenation isa fertilization.', 'Should it be the case that recorder is the object that bridges the gap between the client code and the multimedia subsystem, it follows that the statement, pollenation isa fertilization, does not hold.']
|
The statement 'either some thrips are predacious on other small arthropods, and many feed on fungal spores or geographers work in business, industry, government, and teaching' can be considered false. When vaccination is the single most important measure to control Japanese encephalitis is true, it follows that if the notion that 'masturbation is often a healthy and safe way to express oneself sexually' is untrue, then either some thrips are predacious on other small arthropods, and many feed on fungal spores or geographers work in business, industry, government, and teaching. Whenever it is true that some people mistakenly believe that either recorder is the object that bridges the gap between the client code and the multimedia subsystem or vaccination is the single most important measure to control Japanese encephalitis, 'nuclear physics unleases the bomb and nuclear energy' is true. It is not true that nuclear physics unleases the bomb and nuclear energy. Once we know recorder is the object that bridges the gap between the client code and the multimedia subsystem, we also know that pollenation isa fertilization. Should it be the case that recorder is the object that bridges the gap between the client code and the multimedia subsystem, it follows that the statement, pollenation isa fertilization, does not hold.
|
It is reasonable to believe that masturbation is often a healthy and safe way to express oneself sexually.
|
Masturbation is done by males and females of all sexual orientations.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Either [1] or [2].).).
[3] [SC2-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [3]. [SC1-3]
Not [4]. [SC2-3]
Therefore, [3].
[SC1-3]
Modus Tonens:
If (Not (Either [4] or [3].).), then [6].
Not [6].
Therefore, Either [4] or [3]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
|
{0: 'Masturbation is often a healthy and safe way to express oneself sexually.', 1: 'Some thrips are predacious on other small arthropods, and many feed on fungal spores.', 2: 'Geographers work in business, industry, government, and teaching.', 3: 'Vaccination is the single most important measure to control Japanese encephalitis.', 4: 'Recorder is the object that bridges the gap between the client code and the multimedia subsystem.', 5: 'Pollenation isa fertilization.', 6: 'Nuclear physics unleases the bomb and nuclear energy.'}
| 5 |
4,720 |
['Provided that we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, we know that if paper birch is a poor-quality winter moose browse, then drainage has negative effects.', 'Once we know if paper birch is a poor-quality winter moose browse, then drainage has negative effects, we also know that most kittens grow into angry cats.', 'It is rational to believe that either some people say they pet a cat or dog and their blood pressure goes down or peace comes with letting go, surrendering, and acceptance.', 'Should it be the case that peace comes with letting go, surrendering, and acceptance, it follows that if we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, then those that suggest most kittens grow into angry cats are wrong.', 'Provided that either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, we know that if we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, then those that suggest most kittens grow into angry cats are wrong.', 'Given that it is not the case that if some people say they pet a cat or dog and their blood pressure goes down, then either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, it can be inferred that antibiotics are medicines that kill germs like bacteria.', 'Once we know it is not the case that if some people say they pet a cat or dog and their blood pressure goes down, then either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, we also know that the claim that antibiotics are medicines that kill germs like bacteria does not reflect reality.']
|
Provided that we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, we know that if paper birch is a poor-quality winter moose browse, then drainage has negative effects. Once we know if paper birch is a poor-quality winter moose browse, then drainage has negative effects, we also know that most kittens grow into angry cats. It is rational to believe that either some people say they pet a cat or dog and their blood pressure goes down or peace comes with letting go, surrendering, and acceptance. Should it be the case that peace comes with letting go, surrendering, and acceptance, it follows that if we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, then those that suggest most kittens grow into angry cats are wrong. Provided that either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, we know that if we know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false, then those that suggest most kittens grow into angry cats are wrong. Given that it is not the case that if some people say they pet a cat or dog and their blood pressure goes down, then either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, it can be inferred that antibiotics are medicines that kill germs like bacteria. Once we know it is not the case that if some people say they pet a cat or dog and their blood pressure goes down, then either frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked or tamarins have (part) pedal extremities, we also know that the claim that antibiotics are medicines that kill germs like bacteria does not reflect reality.
|
Should it be the case that asthma has (part) coughs, it follows that ice fog occurs in weather.
|
We know that the claim that if asthma has (part) coughs, then ice fog occurs in weather is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then (If [5], then [6].).
If (If [5], then [6].), then [2].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not (If [0], then [1].).), then (Not [2].).). [SC2-2]
If [4], then (If (Not (If [0], then [1].).), then (Not [2].).).
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-2]
Hypothetical Syllogism:
If [3], then (Either [7] or [8].). [SC1-3]
If (Either [7] or [8].), then (If (Not (If [0], then [1].).), then (Not [2].).).
Therefore, If [3], then (If (Not (If [0], then [1].).), then (Not [2].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [7] or [8].).).), then [9].
If (Not (If [3], then (Either [7] or [8].).).), then (Not [9].).
Therefore, If [3], then (Either [7] or [8].)..
|
{0: 'Asthma has (part) coughs.', 1: 'Ice fog occurs in weather.', 2: 'Most kittens grow into angry cats.', 3: 'Some people say they pet a cat or dog and their blood pressure goes down.', 4: 'Peace comes with letting go, surrendering, and acceptance.', 5: 'Paper birch is a poor-quality winter moose browse.', 6: 'Drainage has negative effects.', 7: 'Frustration is a feeling of tension that occurs when our efforts to reach some goal are blocked.', 8: 'Tamarins have (part) pedal extremities.', 9: 'Antibiotics are medicines that kill germs like bacteria.'}
| 5 |
4,890 |
['Many people rightly believe that reality is the knowledge of verities.', "Should it be the case that noble gases are the natural places to study nuclear effects in nature, it follows that the statement that 'if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin' is incorrect.", "The statement 'noble gases are the natural places to study nuclear effects in nature' can be considered true.", "Once we know breast implants raise more safety issues, we also know that if reality is the knowledge of verities, then either if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin or the notion that 'obesity is a national health problem' is untrue.", "So long as greatness is built on the achievement of others, 'if reality is the knowledge of verities, then either if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin or the notion that 'obesity is a national health problem' is untrue' is true.", 'It is a fact that either if shiny surfaces reflect light in a way that can be confusing to the eye, then some paws are part of hounds or some mourn doves have birds.', "Whenever it is true that if shiny surfaces reflect light in a way that can be confusing to the eye, then some paws are part of hounds, 'breast implants raise more safety issues' is true.", 'If some mourn doves have birds, then greatness is built on the achievement of others.']
|
Many people rightly believe that reality is the knowledge of verities. Should it be the case that noble gases are the natural places to study nuclear effects in nature, it follows that the statement that 'if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin' is incorrect. The statement 'noble gases are the natural places to study nuclear effects in nature' can be considered true. Once we know breast implants raise more safety issues, we also know that if reality is the knowledge of verities, then either if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin or the notion that 'obesity is a national health problem' is untrue. So long as greatness is built on the achievement of others, 'if reality is the knowledge of verities, then either if most children develop the ability to use the toilet between the second and fourth birthdays, then most toads have skin or the notion that 'obesity is a national health problem' is untrue' is true. It is a fact that either if shiny surfaces reflect light in a way that can be confusing to the eye, then some paws are part of hounds or some mourn doves have birds. Whenever it is true that if shiny surfaces reflect light in a way that can be confusing to the eye, then some paws are part of hounds, 'breast implants raise more safety issues' is true. If some mourn doves have birds, then greatness is built on the achievement of others.
|
The notion that 'obesity is a national health problem' is untrue.
|
The notion that 'obesity is a national health problem' is untrue.
|
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]
Modus Ponens:
If [4], then (Either (If [1], then [2].) or (Not [0].).). [SC1-2]
[4]
Therefore, Either (If [1], then [2].) or (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [4], then (Either (If [1], then [2].) or (Not [0].).).).
If [6], then (If [4], then (Either (If [1], then [2].) or (Not [0].).).).
Therefore, If [4], then (Either (If [1], then [2].) or (Not [0].).)..
[SC1-3]
Constructive Dilemma:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then [5].
If [9], then [6].
Therefore, Either [5] or [6]..
[SC2-1]
Modus Ponens:
If [3], then (Not (If [1], then [2].).).
[3]
Therefore, Not (If [1], then [2].)..
|
{0: 'Obesity is a national health problem.', 1: 'Most children develop the ability to use the toilet between the second and fourth birthdays.', 2: 'Most toads have skin.', 3: 'Noble gases are the natural places to study nuclear effects in nature.', 4: 'Reality is the knowledge of verities.', 5: 'Breast implants raise more safety issues.', 6: 'Greatness is built on the achievement of others.', 7: 'Shiny surfaces reflect light in a way that can be confusing to the eye.', 8: 'Some paws are part of hounds.', 9: 'Some mourn doves have birds.'}
| 5 |
4,219 |
['Either one or both of these statements are true: thermal energy is kinetic energy, or foxes are the main predator and are common in cities.', 'On the condition that thermal energy is kinetic energy, it is definitely the case that heparin dose is clearly the most important determinant of minor bleeding episodes.', 'On the condition that heparin dose is clearly the most important determinant of minor bleeding episodes, it is definitely the case that wolfs are carnivores.', 'If the claim that either if reorganization is revisions, then most vets examine animals or if foxes are the main predator and are common in cities, then wolfs are carnivores is false, then press freedoms require a pluralistic economy with private ownership of the media.', "On the condition that the claim that either if reorganization is revisions, then most vets examine animals or if foxes are the main predator and are common in cities, then wolfs are carnivores is false, it is definitely the case that the notion that 'press freedoms require a pluralistic economy with private ownership of the media' is untrue.", 'Assuming if reorganization is revisions, then most vets examine animals, we know that young birds vary in the shade of brown, with darker birds presumably males.', 'Given that if reorganization is revisions, then most vets examine animals, it can be inferred that the claim that young birds vary in the shade of brown, with darker birds presumably males is false.']
|
Either one or both of these statements are true: thermal energy is kinetic energy, or foxes are the main predator and are common in cities. On the condition that thermal energy is kinetic energy, it is definitely the case that heparin dose is clearly the most important determinant of minor bleeding episodes. On the condition that heparin dose is clearly the most important determinant of minor bleeding episodes, it is definitely the case that wolfs are carnivores. If the claim that either if reorganization is revisions, then most vets examine animals or if foxes are the main predator and are common in cities, then wolfs are carnivores is false, then press freedoms require a pluralistic economy with private ownership of the media. On the condition that the claim that either if reorganization is revisions, then most vets examine animals or if foxes are the main predator and are common in cities, then wolfs are carnivores is false, it is definitely the case that the notion that 'press freedoms require a pluralistic economy with private ownership of the media' is untrue. Assuming if reorganization is revisions, then most vets examine animals, we know that young birds vary in the shade of brown, with darker birds presumably males. Given that if reorganization is revisions, then most vets examine animals, it can be inferred that the claim that young birds vary in the shade of brown, with darker birds presumably males is false.
|
The claim that wolfs are carnivores holds true.
|
Wolves are wise, fearless and strong.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If [1], then [3].
If [3], then [0].
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If [2], then [0].). [SC1-2]
Not (If [4], then [5].). [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (If [4], then [5].) or (If [2], then [0].).).), then [6].
If (Not (Either (If [4], then [5].) or (If [2], then [0].).).), then (Not [6].).
Therefore, Either (If [4], then [5].) or (If [2], then [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (If [4], then [5].), then [7].
If (If [4], then [5].), then (Not [7].).
Therefore, Not (If [4], then [5].)..
|
{0: 'Wolfs are carnivores.', 1: 'Thermal energy is kinetic energy.', 2: 'Foxes are the main predator and are common in cities.', 3: 'Heparin dose is clearly the most important determinant of minor bleeding episodes.', 4: 'Reorganization is revisions.', 5: 'Most vets examine animals.', 6: 'Press freedoms require a pluralistic economy with private ownership of the media.', 7: 'Young birds vary in the shade of brown, with darker birds presumably males.'}
| 5 |
4,678 |
["Provided that if cnidarians are radially symmetrical invertebrates with two tissue layers, then seafood restaurants are located in cities, we know that if either some humidity results in snow or lines are part of stanzas, then the statement 'flavors are a blend of many ingredients combined in such a way to create specific flavor nuances' can be considered false.", 'If cnidarians are radially symmetrical invertebrates with two tissue layers, then seafood restaurants are located in cities.', 'Given that animals develop lungs, it can be inferred that either some humidity results in snow or lines are part of stanzas.', 'When some people mistakenly believe that animals develop lungs is true, it follows that some people mistakenly believe that either caterpillars eat leaves and flowers, and feed together in groups or phasmids distinct, located in anterior half of tail.', 'We know that either family therapists can use marriage counseling techniques or if some people mistakenly believe that animals develop lungs, then either caterpillars eat leaves and flowers, and feed together in groups or phasmids distinct, located in anterior half of tail.', 'Those that suggest family therapists can use marriage counseling techniques are wrong.']
|
Provided that if cnidarians are radially symmetrical invertebrates with two tissue layers, then seafood restaurants are located in cities, we know that if either some humidity results in snow or lines are part of stanzas, then the statement 'flavors are a blend of many ingredients combined in such a way to create specific flavor nuances' can be considered false. If cnidarians are radially symmetrical invertebrates with two tissue layers, then seafood restaurants are located in cities. Given that animals develop lungs, it can be inferred that either some humidity results in snow or lines are part of stanzas. When some people mistakenly believe that animals develop lungs is true, it follows that some people mistakenly believe that either caterpillars eat leaves and flowers, and feed together in groups or phasmids distinct, located in anterior half of tail. We know that either family therapists can use marriage counseling techniques or if some people mistakenly believe that animals develop lungs, then either caterpillars eat leaves and flowers, and feed together in groups or phasmids distinct, located in anterior half of tail. Those that suggest family therapists can use marriage counseling techniques are wrong.
|
The statement 'flavors are a blend of many ingredients combined in such a way to create specific flavor nuances' can be considered false.
|
The statement 'flavors are a blend of many ingredients combined in such a way to create specific flavor nuances' can be considered false.
|
TRUE
|
Modus Ponens:
If (Either [1] or [2].), then (Not [0].). [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If (Either [1] or [2].), then (Not [0].).).
If [3], then [4].
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC2-1]
Modus Ponens:
If [5], then (Either [1] or [2].).
[5] [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [5].), then (Either [6] or [7].). [SC1-3]
If (Not [5].), then (Not (Either [6] or [7].).).
Therefore, [5].
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not [5].), then (Either [6] or [7].).).
Not [8].
Therefore, If (Not [5].), then (Either [6] or [7].)..
|
{0: 'Flavors are a blend of many ingredients combined in such a way to create specific flavor nuances.', 1: 'Some humidity results in snow.', 2: 'Lines are part of stanzas.', 3: 'Cnidarians are radially symmetrical invertebrates with two tissue layers.', 4: 'Seafood restaurants are located in cities.', 5: 'Animals develop lungs.', 6: 'Caterpillars eat leaves and flowers, and feed together in groups.', 7: 'Phasmids distinct, located in anterior half of tail.', 8: 'Family therapists can use marriage counseling techniques.'}
| 5 |
4,586 |
['It is a fact that either ion channels are usually closed and open only in response to specific stimuli or either macrophages destroy bacteria and other foreign matter or the claim that adoptive families share a strong desire to provide love and care for a child is false.', 'Once we know macrophages destroy bacteria and other foreign matter, we also know that if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy.', 'We know that at least one of two things is true: uncontrolled diabetes can complicate pregnancy, or it is not the case that ion channels are usually closed and open only in response to specific stimuli.', "The notion that 'uncontrolled diabetes can complicate pregnancy' is untrue.", "We know that at least one of two things is true: alcoholism is the second ranking disease in the United States today, or elk compete for food in the deer's traditional areas.", "Whenever it is true that alcoholism is the second ranking disease in the United States today, 'if macrophages destroy bacteria and other foreign matter, then the statement that states if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy is false' is true.", "One may reasonably assume that if elk compete for food in the deer's traditional areas, then if macrophages destroy bacteria and other foreign matter, then the statement that states if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy is false."]
|
It is a fact that either ion channels are usually closed and open only in response to specific stimuli or either macrophages destroy bacteria and other foreign matter or the claim that adoptive families share a strong desire to provide love and care for a child is false. Once we know macrophages destroy bacteria and other foreign matter, we also know that if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy. We know that at least one of two things is true: uncontrolled diabetes can complicate pregnancy, or it is not the case that ion channels are usually closed and open only in response to specific stimuli. The notion that 'uncontrolled diabetes can complicate pregnancy' is untrue. We know that at least one of two things is true: alcoholism is the second ranking disease in the United States today, or elk compete for food in the deer's traditional areas. Whenever it is true that alcoholism is the second ranking disease in the United States today, 'if macrophages destroy bacteria and other foreign matter, then the statement that states if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy is false' is true. One may reasonably assume that if elk compete for food in the deer's traditional areas, then if macrophages destroy bacteria and other foreign matter, then the statement that states if basic competency is defined as reading, writing, mathematics, and science, then higher structures become less active and therefore atrophy is false.
|
The claim that adoptive families share a strong desire to provide love and care for a child is false.
|
The claim that adoptive families share a strong desire to provide love and care for a child is false.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or (Not [0].).).
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [2].).
Not [5].
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (If [3], then [4].).
If [1], then (Not (If [3], then [4].).). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [1], then (Not (If [3], then [4].).).).
If [7], then (If [1], then (Not (If [3], then [4].).).).
Therefore, If [1], then (Not (If [3], then [4].).)..
|
{0: 'Adoptive families share a strong desire to provide love and care for a child.', 1: 'Macrophages destroy bacteria and other foreign matter.', 2: 'Ion channels are usually closed and open only in response to specific stimuli.', 3: 'Basic competency is defined as reading, writing, mathematics, and science.', 4: 'Higher structures become less active and therefore atrophy.', 5: 'Uncontrolled diabetes can complicate pregnancy.', 6: 'Alcoholism is the second ranking disease in the United States today.', 7: "Elk compete for food in the deer's traditional areas."}
| 5 |
4,282 |
["When either infected plants are usually dwarfed and bunchy and yields are reduced or altitude is elevation is true, it follows that if taste isa sensation, then image consultants provide advice to improve their clients' general appearance, posture and manner.", "Whenever it is true that probable cause means that a reasonable person reasonably believes that a crime has been committed, 'all fusion reactions involving elements lighter than carbon are exothermic' is true.", "It is rational to believe that either nest sites have areas or the statement, if taste isa sensation, then image consultants provide advice to improve their clients' general appearance, posture and manner, does not hold.", 'Should it be the case that those that suggest either either infected plants are usually dwarfed and bunchy and yields are reduced or altitude is elevation or probable cause means that a reasonable person reasonably believes that a crime has been committed are wrong, it follows that lift is important because a boomerang is simply two airplane wings joined in the middle.', 'The statement that states lift is important because a boomerang is simply two airplane wings joined in the middle is false.', 'Should it be the case that genetic algorithms are able to reproduce and mutate their behaviour, it follows that the statement that states nest sites have areas is false.', 'It is the case that genetic algorithms are able to reproduce and mutate their behaviour.']
|
When either infected plants are usually dwarfed and bunchy and yields are reduced or altitude is elevation is true, it follows that if taste isa sensation, then image consultants provide advice to improve their clients' general appearance, posture and manner. Whenever it is true that probable cause means that a reasonable person reasonably believes that a crime has been committed, 'all fusion reactions involving elements lighter than carbon are exothermic' is true. It is rational to believe that either nest sites have areas or the statement, if taste isa sensation, then image consultants provide advice to improve their clients' general appearance, posture and manner, does not hold. Should it be the case that those that suggest either either infected plants are usually dwarfed and bunchy and yields are reduced or altitude is elevation or probable cause means that a reasonable person reasonably believes that a crime has been committed are wrong, it follows that lift is important because a boomerang is simply two airplane wings joined in the middle. The statement that states lift is important because a boomerang is simply two airplane wings joined in the middle is false. Should it be the case that genetic algorithms are able to reproduce and mutate their behaviour, it follows that the statement that states nest sites have areas is false. It is the case that genetic algorithms are able to reproduce and mutate their behaviour.
|
It is fair to say that all fusion reactions involving elements lighter than carbon are exothermic.
|
It is fair to say that all fusion reactions involving elements lighter than carbon are exothermic.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either (Either [4] or [5].) or [6]. [SC1-2]
If (Either [4] or [5].), then (If [1], then [2].).
If [6], then [0].
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either (Either [4] or [5].) or [6].).), then [8].
Not [8].
Therefore, Either (Either [4] or [5].) or [6]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not (If [1], then [2].).).
Not [3]. [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [7], then (Not [3].).
[7]
Therefore, Not [3]..
|
{0: 'All fusion reactions involving elements lighter than carbon are exothermic.', 1: 'Taste isa sensation.', 2: "Image consultants provide advice to improve their clients' general appearance, posture and manner.", 3: 'Nest sites have areas.', 4: 'Infected plants are usually dwarfed and bunchy and yields are reduced.', 5: 'Altitude is elevation.', 6: 'Probable cause means that a reasonable person reasonably believes that a crime has been committed.', 7: 'Genetic algorithms are able to reproduce and mutate their behaviour.', 8: 'Lift is important because a boomerang is simply two airplane wings joined in the middle.'}
| 5 |
4,348 |
['The claim that most skunks conserve energy does not reflect reality.', 'On the condition that value isa concept, it is definitely the case that spirituality is a part of sexuality, as are culture and values.', 'When courage is the major status trait among the Indian warriors is true, it follows that if the statement that states if the statement that states if wrynecks prefer open forests, clearings, and woodlands with low undergrowth, then selenium is also important for detoxification enzymes is false, then value isa concept is false, then most skunks conserve energy.', 'We can assume that courage is the major status trait among the Indian warriors.', 'Either one or both of these statements are true: hurricanes are enormous heat engines that generate energy on a staggering scale, or the claim that spirituality is a part of sexuality, as are culture and values is false.', 'The statement that states hurricanes are enormous heat engines that generate energy on a staggering scale is false.']
|
The claim that most skunks conserve energy does not reflect reality. On the condition that value isa concept, it is definitely the case that spirituality is a part of sexuality, as are culture and values. When courage is the major status trait among the Indian warriors is true, it follows that if the statement that states if the statement that states if wrynecks prefer open forests, clearings, and woodlands with low undergrowth, then selenium is also important for detoxification enzymes is false, then value isa concept is false, then most skunks conserve energy. We can assume that courage is the major status trait among the Indian warriors. Either one or both of these statements are true: hurricanes are enormous heat engines that generate energy on a staggering scale, or the claim that spirituality is a part of sexuality, as are culture and values is false. The statement that states hurricanes are enormous heat engines that generate energy on a staggering scale is false.
|
Whenever it is true that wrynecks prefer open forests, clearings, and woodlands with low undergrowth, 'selenium is also important for detoxification enzymes' is true.
|
Whenever it is true that wrynecks prefer open forests, clearings, and woodlands with low undergrowth, 'selenium is also important for detoxification enzymes' is true.
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [4]. [SC1-2]
Not [4].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If (Not (If [0], then [1].).), then [2].).), then [4].).
[5]
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then [4]..
[SC2-1]
Modus Tonens:
If [2], then [3].
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [3].).
Not [6].
Therefore, Not [3]..
|
{0: 'Wrynecks prefer open forests, clearings, and woodlands with low undergrowth.', 1: 'Selenium is also important for detoxification enzymes.', 2: 'Value isa concept.', 3: 'Spirituality is a part of sexuality, as are culture and values.', 4: 'Most skunks conserve energy.', 5: 'Courage is the major status trait among the Indian warriors.', 6: 'Hurricanes are enormous heat engines that generate energy on a staggering scale.'}
| 5 |
4,686 |
['Provided that pragmatics is a field of linguistics studying comunication, we know that those that suggest energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates are wrong.', 'The statement that states infectious diseases are now the third leading cause of death in the United States is false.', "Whenever it is true that the claim that if pragmatics is a field of linguistics studying comunication, then energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates does not correspond with reality, 'if classroom management means having students who behave like civilized humans, then portals are a protective devices that are put around Earth' is true.", 'When if classroom management means having students who behave like civilized humans, then portals are a protective devices that are put around Earth is true, it follows that it is a common misconception that either diseases play a natural role in wildlife population control or most collisions generate energy.', 'Once we know plants gradually decline in vigor, become stunted, produce less and less fruit, we also know that if the statement, if the claim that if pragmatics is a field of linguistics studying comunication, then energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates does not correspond with reality, then either diseases play a natural role in wildlife population control or most collisions generate energy, does not hold, then infectious diseases are now the third leading cause of death in the United States.', 'It is a simple truth that plants gradually decline in vigor, become stunted, produce less and less fruit.']
|
Provided that pragmatics is a field of linguistics studying comunication, we know that those that suggest energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates are wrong. The statement that states infectious diseases are now the third leading cause of death in the United States is false. Whenever it is true that the claim that if pragmatics is a field of linguistics studying comunication, then energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates does not correspond with reality, 'if classroom management means having students who behave like civilized humans, then portals are a protective devices that are put around Earth' is true. When if classroom management means having students who behave like civilized humans, then portals are a protective devices that are put around Earth is true, it follows that it is a common misconception that either diseases play a natural role in wildlife population control or most collisions generate energy. Once we know plants gradually decline in vigor, become stunted, produce less and less fruit, we also know that if the statement, if the claim that if pragmatics is a field of linguistics studying comunication, then energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates does not correspond with reality, then either diseases play a natural role in wildlife population control or most collisions generate energy, does not hold, then infectious diseases are now the third leading cause of death in the United States. It is a simple truth that plants gradually decline in vigor, become stunted, produce less and less fruit.
|
The claim that pragmatics is a field of linguistics studying comunication is false.
|
The statement that states pragmatics is a field of linguistics studying comunication is right.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (Either [2] or [3].). [SC1-2]
If (Not (If [0], then [1].).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Either [2] or [3].).).), then [6]. [SC1-3]
Not [6].
Therefore, If (Not (If [0], then [1].).), then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If [0], then [1].).), then (Either [2] or [3].).).), then [6].).
[7]
Therefore, If (Not (If (Not (If [0], then [1].).), then (Either [2] or [3].).).), then [6]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then (If [4], then [5].).
If (If [4], then [5].), then (Not (Either [2] or [3].).).
Therefore, If (Not (If [0], then [1].).), then (Not (Either [2] or [3].).)..
|
{0: 'Pragmatics is a field of linguistics studying comunication.', 1: 'Energy healing theorizes that certain articles, such as gems and magnets carry vibrational rates.', 2: 'Diseases play a natural role in wildlife population control.', 3: 'Most collisions generate energy.', 4: 'Classroom management means having students who behave like civilized humans.', 5: 'Portals are a protective devices that are put around Earth.', 6: 'Infectious diseases are now the third leading cause of death in the United States.', 7: 'Plants gradually decline in vigor, become stunted, produce less and less fruit.'}
| 5 |
4,004 |
['Assuming the claim that if centenarians are from all races, then either spiritual reproduction proceeds without recourse to gender, sex, or to gender based entities or some female flowers come in contact does not correspond with reality, we know that sinkholes appear all over the United States .', 'Either one or both of these statements are true: people possess minds, or centenarians are from all races.', 'The statement that states people possess minds is false.', 'Many people rightly believe that echidnas have two functional ovaries, but generally only one egg develops at a time.', 'We know that either if some relatives see conversion to other faiths as rejecting family and tradition, then an individual is an organism or legs may have few spots.', "Whenever it is true that if some relatives see conversion to other faiths as rejecting family and tradition, then an individual is an organism, 'if echidnas have two functional ovaries, but generally only one egg develops at a time, then the claim that sinkholes appear all over the United States has no merit' is true.", 'Assuming legs may have few spots, we know that if echidnas have two functional ovaries, but generally only one egg develops at a time, then the claim that sinkholes appear all over the United States has no merit.']
|
Assuming the claim that if centenarians are from all races, then either spiritual reproduction proceeds without recourse to gender, sex, or to gender based entities or some female flowers come in contact does not correspond with reality, we know that sinkholes appear all over the United States . Either one or both of these statements are true: people possess minds, or centenarians are from all races. The statement that states people possess minds is false. Many people rightly believe that echidnas have two functional ovaries, but generally only one egg develops at a time. We know that either if some relatives see conversion to other faiths as rejecting family and tradition, then an individual is an organism or legs may have few spots. Whenever it is true that if some relatives see conversion to other faiths as rejecting family and tradition, then an individual is an organism, 'if echidnas have two functional ovaries, but generally only one egg develops at a time, then the claim that sinkholes appear all over the United States has no merit' is true. Assuming legs may have few spots, we know that if echidnas have two functional ovaries, but generally only one egg develops at a time, then the claim that sinkholes appear all over the United States has no merit.
|
There is good reason to believe that either spiritual reproduction proceeds without recourse to gender, sex, or to gender based entities or some female flowers come in contact.
|
There is good reason to believe that either spiritual reproduction proceeds without recourse to gender, sex, or to gender based entities or some female flowers come in contact.
|
TRUE
|
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 [4].
Not [4]. [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [4].). [SC1-3]
[5]
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If [5], then (Not [4].).).
If [8], then (If [5], then (Not [4].).).
Therefore, If [5], then (Not [4].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [2].
Not [3].
Therefore, [2].
|
{0: 'Spiritual reproduction proceeds without recourse to gender, sex, or to gender based entities.', 1: 'Some female flowers come in contact.', 2: 'Centenarians are from all races.', 3: 'People possess minds.', 4: 'Sinkholes appear all over the United States .', 5: 'Echidnas have two functional ovaries, but generally only one egg develops at a time.', 6: 'Some relatives see conversion to other faiths as rejecting family and tradition.', 7: 'An individual is an organism.', 8: 'Legs may have few spots.'}
| 5 |
4,995 |
["Whenever it is true that those that suggest either either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients or colugos have (part) vertebrate feet are wrong, 'the statement that states soils are much more complex than simple sediments is false' is true.", "Whenever it is true that either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients, 'raspberries are fruit' is true.", 'It is rational to believe that either placenta is now one-sixth of fetal weight or if those that suggest either either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients or colugos have (part) vertebrate feet are wrong, then soils are much more complex than simple sediments.', 'The claim that placenta is now one-sixth of fetal weight does not correspond with reality.', 'Once we know raspberries are fruit, we also know that transpiration refers to the process that plants use to cool themselves.', 'Given that raspberries are fruit, it can be inferred that the claim that transpiration refers to the process that plants use to cool themselves does not reflect reality.']
|
Whenever it is true that those that suggest either either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients or colugos have (part) vertebrate feet are wrong, 'the statement that states soils are much more complex than simple sediments is false' is true. Whenever it is true that either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients, 'raspberries are fruit' is true. It is rational to believe that either placenta is now one-sixth of fetal weight or if those that suggest either either sponges can produce sexually as well as asexually or sunflower seeds are rich in protein, oil, and several nutrients or colugos have (part) vertebrate feet are wrong, then soils are much more complex than simple sediments. The claim that placenta is now one-sixth of fetal weight does not correspond with reality. Once we know raspberries are fruit, we also know that transpiration refers to the process that plants use to cool themselves. Given that raspberries are fruit, it can be inferred that the claim that transpiration refers to the process that plants use to cool themselves does not reflect reality.
|
It is rational to agree that colugos have (part) vertebrate feet.
|
It is rational to agree that colugos have (part) vertebrate feet.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (Either [1] or [2].) or [0].).), then [4]. [SC1-2]
If (Not (Either (Either [1] or [2].) or [0].).), then (Not [4].).
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either (Either [1] or [2].) or [0].).), then [4].).
Not [5].
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then [4]..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [3].
Not [3]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [6].
If [3], then (Not [6].).
Therefore, Not [3]..
|
{0: 'Colugos have (part) vertebrate feet.', 1: 'Sponges can produce sexually as well as asexually.', 2: 'Sunflower seeds are rich in protein, oil, and several nutrients.', 3: 'Raspberries are fruit.', 4: 'Soils are much more complex than simple sediments.', 5: 'Placenta is now one-sixth of fetal weight .', 6: 'Transpiration refers to the process that plants use to cool themselves.'}
| 5 |
4,463 |
['Some people mistakenly believe that if reverberation is measured in time, then many flexographic inks are water-based and contain soy protein.', 'Once we know the claim that if democracy is education about current issues and how to become involved with such issues, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights does not correspond with reality, we also know that initials are letters.', "Whenever it is true that the claim that if democracy is education about current issues and how to become involved with such issues, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights does not correspond with reality, 'the statement that 'initials are letters' is incorrect' is true.", 'There is good reason to believe that either either doves walk on feet or photosynthesis is the means by which trees and other plants turn sunlight into food or if feminists use the idea of a gendered notion to mean different things, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights.', 'The claim that either doves walk on feet or photosynthesis is the means by which trees and other plants turn sunlight into food does not correspond with reality.', 'At least one of two things is true: all insects have heads, abdomens, and thoraxes, antennae, six legs, and wings, or if the statement, either democracy is education about current issues and how to become involved with such issues or feminists use the idea of a gendered notion to mean different things, does not hold, then if reverberation is measured in time, then many flexographic inks are water-based and contain soy protein.', 'We know that the claim that all insects have heads, abdomens, and thoraxes, antennae, six legs, and wings is false.']
|
Some people mistakenly believe that if reverberation is measured in time, then many flexographic inks are water-based and contain soy protein. Once we know the claim that if democracy is education about current issues and how to become involved with such issues, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights does not correspond with reality, we also know that initials are letters. Whenever it is true that the claim that if democracy is education about current issues and how to become involved with such issues, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights does not correspond with reality, 'the statement that 'initials are letters' is incorrect' is true. There is good reason to believe that either either doves walk on feet or photosynthesis is the means by which trees and other plants turn sunlight into food or if feminists use the idea of a gendered notion to mean different things, then strict scrutiny is applied to legislation involving suspect classifications and fundamental rights. The claim that either doves walk on feet or photosynthesis is the means by which trees and other plants turn sunlight into food does not correspond with reality. At least one of two things is true: all insects have heads, abdomens, and thoraxes, antennae, six legs, and wings, or if the statement, either democracy is education about current issues and how to become involved with such issues or feminists use the idea of a gendered notion to mean different things, does not hold, then if reverberation is measured in time, then many flexographic inks are water-based and contain soy protein. We know that the claim that all insects have heads, abdomens, and thoraxes, antennae, six legs, and wings is false.
|
The claim that strict scrutiny is applied to legislation involving suspect classifications and fundamental rights is true.
|
It is a common misconception that strict scrutiny is applied to legislation involving suspect classifications and fundamental rights.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [1] or [2].).), then (If [3], then [4].).).
Not [8].
Therefore, If (Not (Either [1] or [2].).), then (If [3], then [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [7].
If (Not (If [1], then [0].).), then (Not [7].).
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [2], then [0].).
Not (Either [5] or [6].).
Therefore, If [2], then [0]..
|
{0: 'Strict scrutiny is applied to legislation involving suspect classifications and fundamental rights.', 1: 'Democracy is education about current issues and how to become involved with such issues.', 2: 'Feminists use the idea of a gendered notion to mean different things.', 3: 'Reverberation is measured in time.', 4: 'Many flexographic inks are water-based and contain soy protein.', 5: 'Doves walk on feet.', 6: 'Photosynthesis is the means by which trees and other plants turn sunlight into food.', 7: 'Initials are letters.', 8: 'All insects have heads, abdomens, and thoraxes, antennae, six legs, and wings.'}
| 5 |
4,776 |
['It is the case that all color photography is the blending of three basic colors, yellow, magenta and cyan.', 'The claim that active dogs can burn off energy does not correspond with reality.', 'Provided that it is not the case that either active dogs can burn off energy or if all color photography is the blending of three basic colors, yellow, magenta and cyan, then proteins begin chemical digestion in the stomach, we know that it is not the case that carnivores have (part) sections.', "Whenever it is true that it is not the case that either active dogs can burn off energy or if all color photography is the blending of three basic colors, yellow, magenta and cyan, then proteins begin chemical digestion in the stomach, 'electronic devices are in widespread use in everyday life' is true.", 'Either one or both of these statements are true: scholasticism emphasises the use of dialectic, or bilateral relationships are the basic building blocks of foreign and trade policy strategies.', 'If scholasticism emphasises the use of dialectic, then if electronic devices are in widespread use in everyday life, then carnivores have (part) sections.', 'Assuming bilateral relationships are the basic building blocks of foreign and trade policy strategies, we know that if electronic devices are in widespread use in everyday life, then carnivores have (part) sections.']
|
It is the case that all color photography is the blending of three basic colors, yellow, magenta and cyan. The claim that active dogs can burn off energy does not correspond with reality. Provided that it is not the case that either active dogs can burn off energy or if all color photography is the blending of three basic colors, yellow, magenta and cyan, then proteins begin chemical digestion in the stomach, we know that it is not the case that carnivores have (part) sections. Whenever it is true that it is not the case that either active dogs can burn off energy or if all color photography is the blending of three basic colors, yellow, magenta and cyan, then proteins begin chemical digestion in the stomach, 'electronic devices are in widespread use in everyday life' is true. Either one or both of these statements are true: scholasticism emphasises the use of dialectic, or bilateral relationships are the basic building blocks of foreign and trade policy strategies. If scholasticism emphasises the use of dialectic, then if electronic devices are in widespread use in everyday life, then carnivores have (part) sections. Assuming bilateral relationships are the basic building blocks of foreign and trade policy strategies, we know that if electronic devices are in widespread use in everyday life, then carnivores have (part) sections.
|
It is fair to say that proteins begin chemical digestion in the stomach.
|
It is fair to say that proteins begin chemical digestion in the stomach.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].). [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If [1], then [0].).).), then [3]. [SC1-3]
If (Not (Either [2] or (If [1], then [0].).).), then (Not [3].).
Therefore, Either [2] or (If [1], then [0].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [2] or (If [1], then [0].).).), then [4].
If [4], then [3]. [SC2-4]
Therefore, If (Not (Either [2] or (If [1], then [0].).).), then [3]..
[SC2-4]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then [3].).
If [6], then (If [4], then [3].).
Therefore, If [4], then [3]..
|
{0: 'Proteins begin chemical digestion in the stomach.', 1: 'All color photography is the blending of three basic colors, yellow, magenta and cyan.', 2: 'Active dogs can burn off energy.', 3: 'Carnivores have (part) sections.', 4: 'Electronic devices are in widespread use in everyday life.', 5: 'Scholasticism emphasises the use of dialectic.', 6: 'Bilateral relationships are the basic building blocks of foreign and trade policy strategies.'}
| 5 |
4,682 |
["Assuming the notion that 'tutees are learners' is untrue, we know that border is a pixel value of the border width between frames.", "If sheep possess jaws, then if the notion that 'tutees are learners' is untrue, then those that suggest border is a pixel value of the border width between frames are wrong.", "If the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development.", "Once we know the statement, if puritan theology is a very harsh Protestant belief system that disparaged other forms of worship, then if the notion that 'tutees are learners' is untrue, then those that suggest border is a pixel value of the border width between frames are wrong, does not hold, we also know that insects are especially favorable for illustrating adaptations.", 'The claim that insects are especially favorable for illustrating adaptations does not correspond with reality.', "If the statement 'if the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then the claim that either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development is false' can be considered false, then parents are sometimes very protective of their children.", "Given that the statement 'if the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then the claim that either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development is false' can be considered false, it can be inferred that the claim that parents are sometimes very protective of their children has no merit."]
|
Assuming the notion that 'tutees are learners' is untrue, we know that border is a pixel value of the border width between frames. If sheep possess jaws, then if the notion that 'tutees are learners' is untrue, then those that suggest border is a pixel value of the border width between frames are wrong. If the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development. Once we know the statement, if puritan theology is a very harsh Protestant belief system that disparaged other forms of worship, then if the notion that 'tutees are learners' is untrue, then those that suggest border is a pixel value of the border width between frames are wrong, does not hold, we also know that insects are especially favorable for illustrating adaptations. The claim that insects are especially favorable for illustrating adaptations does not correspond with reality. If the statement 'if the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then the claim that either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development is false' can be considered false, then parents are sometimes very protective of their children. Given that the statement 'if the notion that 'either sheep possess jaws or puritan theology is a very harsh Protestant belief system that disparaged other forms of worship' is untrue, then the claim that either sugar is important for the body, especially for brain function - but too much can be lethal or caterpillars molt four to five times during their development is false' can be considered false, it can be inferred that the claim that parents are sometimes very protective of their children has no merit.
|
The claim that tutees are learners is true.
|
The claim that tutees are learners is true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If (Not [0].), then (Not [1].).).
If [3], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (Either [5] or [6].).
If (Not (Either [2] or [3].).), then (Not (Either [5] or [6].).). [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or [3].).), then (Not (Either [5] or [6].).).).), then [7].
If (Not (If (Not (Either [2] or [3].).), then (Not (Either [5] or [6].).).).), then (Not [7].).
Therefore, If (Not (Either [2] or [3].).), then (Not (Either [5] or [6].).)..
[SC3-2]
Modus Tonens:
If (Not (If [3], then (If (Not [0].), then (Not [1].).).).), then [4].
Not [4].
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Tutees are learners.', 1: 'Border is a pixel value of the border width between frames.', 2: 'Sheep possess jaws.', 3: 'Puritan theology is a very harsh Protestant belief system that disparaged other forms of worship.', 4: 'Insects are especially favorable for illustrating adaptations.', 5: 'Sugar is important for the body, especially for brain function - but too much can be lethal.', 6: 'Caterpillars molt four to five times during their development.', 7: 'Parents are sometimes very protective of their children.'}
| 5 |
4,879 |
['The statement that states mosquitoes are simply a nuisance is false.', 'It is reasonable to believe that most hummingbirds live in the South America.', 'It is rational to believe that either either alcohol is by far the most used and abused drug in the world or gender equality is a vision for a better society or either truth is truth always and ever to the day of doom or religions try to encourage people to be good.', "Whenever it is true that either alcohol is by far the most used and abused drug in the world or gender equality is a vision for a better society, 'if the claim that either some blood vessels are near surfaces or either an infelicity is quality or hockey is one of the sport where players practice least their shots is false, then mosquitoes are simply a nuisance' is true.", 'Provided that either truth is truth always and ever to the day of doom or religions try to encourage people to be good, we know that if the claim that either some blood vessels are near surfaces or either an infelicity is quality or hockey is one of the sport where players practice least their shots is false, then mosquitoes are simply a nuisance.', 'When it is a common misconception that if most hummingbirds live in the South America, then the claim that some blood vessels are near surfaces does not reflect reality is true, it follows that if hockey is a game of speed and skill, then radiation exposure is measured with equipment known as dosimetry .', 'Should it be the case that it is a common misconception that if most hummingbirds live in the South America, then the claim that some blood vessels are near surfaces does not reflect reality, it follows that the claim that if hockey is a game of speed and skill, then radiation exposure is measured with equipment known as dosimetry has no merit.']
|
The statement that states mosquitoes are simply a nuisance is false. It is reasonable to believe that most hummingbirds live in the South America. It is rational to believe that either either alcohol is by far the most used and abused drug in the world or gender equality is a vision for a better society or either truth is truth always and ever to the day of doom or religions try to encourage people to be good. Whenever it is true that either alcohol is by far the most used and abused drug in the world or gender equality is a vision for a better society, 'if the claim that either some blood vessels are near surfaces or either an infelicity is quality or hockey is one of the sport where players practice least their shots is false, then mosquitoes are simply a nuisance' is true. Provided that either truth is truth always and ever to the day of doom or religions try to encourage people to be good, we know that if the claim that either some blood vessels are near surfaces or either an infelicity is quality or hockey is one of the sport where players practice least their shots is false, then mosquitoes are simply a nuisance. When it is a common misconception that if most hummingbirds live in the South America, then the claim that some blood vessels are near surfaces does not reflect reality is true, it follows that if hockey is a game of speed and skill, then radiation exposure is measured with equipment known as dosimetry . Should it be the case that it is a common misconception that if most hummingbirds live in the South America, then the claim that some blood vessels are near surfaces does not reflect reality, it follows that the claim that if hockey is a game of speed and skill, then radiation exposure is measured with equipment known as dosimetry has no merit.
|
Either one or both of these statements are true: an infelicity is quality, or hockey is one of the sport where players practice least their shots.
|
Either one or both of these statements are true: an infelicity is quality, or hockey is one of the sport where players practice least their shots.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (Either [0] or [1].).).), then [4]. [SC1-2]
Not [4].
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Disjunction Elimination:
Either (Either [7] or [8].) or (Either [9] or [10].).
If (Either [7] or [8].), then (If (Not (Either [2] or (Either [0] or [1].).).), then [4].).
If (Either [9] or [10].), then (If (Not (Either [2] or (Either [0] or [1].).).), then [4].).
Therefore, If (Not (Either [2] or (Either [0] or [1].).).), then [4]..
[SC2-1]
Modus Ponens:
If [3], then (Not [2].). [SC1-2]
[3]
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then (Not [2].).).), then (If [5], then [6].).
If (Not (If [3], then (Not [2].).).), then (Not (If [5], then [6].).).
Therefore, If [3], then (Not [2].)..
|
{0: 'An infelicity is quality.', 1: 'Hockey is one of the sport where players practice least their shots.', 2: 'Some blood vessels are near surfaces.', 3: 'Most hummingbirds live in the South America.', 4: 'Mosquitoes are simply a nuisance.', 5: 'Hockey is a game of speed and skill.', 6: 'Radiation exposure is measured with equipment known as dosimetry .', 7: 'Alcohol is by far the most used and abused drug in the world.', 8: 'Gender equality is a vision for a better society.', 9: 'Truth is truth always and ever to the day of doom.', 10: 'Religions try to encourage people to be good.'}
| 5 |
4,517 |
['The claim that strangers are intruders holds true.', 'Either color vision is altered during the suppression phase of binocular rivalry or if file sharing is the beginning of the end of recorded and broadly distributed popular music, then if strangers are intruders, then resistors are components that resist the flow of electrical current.', 'The statement that states color vision is altered during the suppression phase of binocular rivalry is false.', 'Once we know energy creates vibration, we also know that file sharing is the beginning of the end of recorded and broadly distributed popular music.', 'One may reasonably assume that if consolation is comfort, then file sharing is the beginning of the end of recorded and broadly distributed popular music.', 'We know that at least one of two things is true: biological treatments use natural enemies of the weed for control, or dog collars enhance a long neck.', 'Given that biological treatments use natural enemies of the weed for control, it can be inferred that either energy creates vibration or consolation is comfort.', 'When dog collars enhance a long neck is true, it follows that either energy creates vibration or consolation is comfort.']
|
The claim that strangers are intruders holds true. Either color vision is altered during the suppression phase of binocular rivalry or if file sharing is the beginning of the end of recorded and broadly distributed popular music, then if strangers are intruders, then resistors are components that resist the flow of electrical current. The statement that states color vision is altered during the suppression phase of binocular rivalry is false. Once we know energy creates vibration, we also know that file sharing is the beginning of the end of recorded and broadly distributed popular music. One may reasonably assume that if consolation is comfort, then file sharing is the beginning of the end of recorded and broadly distributed popular music. We know that at least one of two things is true: biological treatments use natural enemies of the weed for control, or dog collars enhance a long neck. Given that biological treatments use natural enemies of the weed for control, it can be inferred that either energy creates vibration or consolation is comfort. When dog collars enhance a long neck is true, it follows that either energy creates vibration or consolation is comfort.
|
It is the case that resistors are components that resist the flow of electrical current.
|
The claim that resistors are components that resist the flow of electrical current does not reflect reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].). [SC1-2]
[2] [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If [2], then (If [1], then [0].).).
Not [5].
Therefore, If [2], then (If [1], then [0].)..
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then [2].
If [4], then [2].
Therefore, [2].
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Either [3] or [4].).
If [7], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
|
{0: 'Resistors are components that resist the flow of electrical current.', 1: 'Strangers are intruders.', 2: 'File sharing is the beginning of the end of recorded and broadly distributed popular music.', 3: 'Energy creates vibration.', 4: 'Consolation is comfort.', 5: 'Color vision is altered during the suppression phase of binocular rivalry.', 6: 'Biological treatments use natural enemies of the weed for control.', 7: 'Dog collars enhance a long neck.'}
| 5 |
4,573 |
["The statement 'parks are an important component of community livability' is true.", 'The claim that anorexics starve themselves, sometimes to the point of death does not correspond with reality.', 'On the condition that parks are an important component of community livability, it is definitely the case that either foxs are located in storybooks or some women have many bouts of thrush over a long period of time.', "Provided that either foxs are located in storybooks or some women have many bouts of thrush over a long period of time, we know that if foresters also supervise the planting and growing of new trees, a process called regeneration, then the notion that 'either personal fitness trainers help goals or stingrays have (part) pedal extremities' is untrue.", "So long as oysters are bivalves, 'either anorexics starve themselves, sometimes to the point of death or foresters also supervise the planting and growing of new trees, a process called regeneration' is true.", 'Many people rightly believe that oysters are bivalves.']
|
The statement 'parks are an important component of community livability' is true. The claim that anorexics starve themselves, sometimes to the point of death does not correspond with reality. On the condition that parks are an important component of community livability, it is definitely the case that either foxs are located in storybooks or some women have many bouts of thrush over a long period of time. Provided that either foxs are located in storybooks or some women have many bouts of thrush over a long period of time, we know that if foresters also supervise the planting and growing of new trees, a process called regeneration, then the notion that 'either personal fitness trainers help goals or stingrays have (part) pedal extremities' is untrue. So long as oysters are bivalves, 'either anorexics starve themselves, sometimes to the point of death or foresters also supervise the planting and growing of new trees, a process called regeneration' is true. Many people rightly believe that oysters are bivalves.
|
The notion that 'either personal fitness trainers help goals or stingrays have (part) pedal extremities' is untrue.
|
It is a fact that either personal fitness trainers help goals or stingrays have (part) pedal extremities.
|
FALSE
|
Modus Ponens:
If [2], then (Not (Either [0] or [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Ponens:
If [3], then (If [2], then (Not (Either [0] or [1].).).). [SC1-2]
[3]
Therefore, If [2], then (Not (Either [0] or [1].).)..
[SC1-2]
Hypothetical Syllogism:
If [3], then (Either [5] or [6].).
If (Either [5] or [6].), then (If [2], then (Not (Either [0] or [1].).).).
Therefore, If [3], then (If [2], then (Not (Either [0] or [1].).).)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or [2]. [SC1-2]
Not [4].
Therefore, [2].
[SC1-2]
Modus Ponens:
If [7], then (Either [4] or [2].).
[7]
Therefore, Either [4] or [2]..
|
{0: 'Personal fitness trainers help goals.', 1: 'Stingrays have (part) pedal extremities.', 2: 'Foresters also supervise the planting and growing of new trees, a process called regeneration.', 3: 'Parks are an important component of community livability.', 4: 'Anorexics starve themselves, sometimes to the point of death.', 5: 'Foxs are located in storybooks.', 6: 'Some women have many bouts of thrush over a long period of time.', 7: 'Oysters are bivalves.'}
| 5 |
4,793 |
['Either if organization theory is a broad field with roots in sociology, then frogs eat mainly insects and other small animals, including earthworms, minnows, and spiders or crocodiles use lungs to breath.', "So long as either sunlight penetrates ice and snow of a frozen lake, causing photosynthesis of phytoplankton or stage light is located in theatres, 'if if organization theory is a broad field with roots in sociology, then frogs eat mainly insects and other small animals, including earthworms, minnows, and spiders, then it is not the case that some plant tissue contains toxic compounds' is true.", 'There is good reason to believe that either sunlight penetrates ice and snow of a frozen lake, causing photosynthesis of phytoplankton or stage light is located in theatres.', 'It is rational to believe that either government is largely a justice system or if crocodiles use lungs to breath, then it is not the case that some plant tissue contains toxic compounds.', "The statement that 'polarized light is depolarized when reflected from a grainy projection screen' is incorrect.", 'At least one of two things is true: misery desires companies, or either electric vehicles are a special type of dedicated vehicle or long legs may have spots.', 'One may reasonably assume that if misery desires companies, then if government is largely a justice system, then polarized light is depolarized when reflected from a grainy projection screen.', 'Given that either electric vehicles are a special type of dedicated vehicle or long legs may have spots, it can be inferred that if government is largely a justice system, then polarized light is depolarized when reflected from a grainy projection screen.']
|
Either if organization theory is a broad field with roots in sociology, then frogs eat mainly insects and other small animals, including earthworms, minnows, and spiders or crocodiles use lungs to breath. So long as either sunlight penetrates ice and snow of a frozen lake, causing photosynthesis of phytoplankton or stage light is located in theatres, 'if if organization theory is a broad field with roots in sociology, then frogs eat mainly insects and other small animals, including earthworms, minnows, and spiders, then it is not the case that some plant tissue contains toxic compounds' is true. There is good reason to believe that either sunlight penetrates ice and snow of a frozen lake, causing photosynthesis of phytoplankton or stage light is located in theatres. It is rational to believe that either government is largely a justice system or if crocodiles use lungs to breath, then it is not the case that some plant tissue contains toxic compounds. The statement that 'polarized light is depolarized when reflected from a grainy projection screen' is incorrect. At least one of two things is true: misery desires companies, or either electric vehicles are a special type of dedicated vehicle or long legs may have spots. One may reasonably assume that if misery desires companies, then if government is largely a justice system, then polarized light is depolarized when reflected from a grainy projection screen. Given that either electric vehicles are a special type of dedicated vehicle or long legs may have spots, it can be inferred that if government is largely a justice system, then polarized light is depolarized when reflected from a grainy projection screen.
|
It is not the case that some plant tissue contains toxic compounds.
|
The statement, plant tissues accumulate salts from lower soil horizons, does not hold.
|
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]
Modus Ponens:
If (Either [5] or [6].), then (If (If [1], then [2].), then (Not [0].).).
Either [5] or [6].
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [0].).).
Not [4]. [SC2-2]
Therefore, If [3], then (Not [0].)..
[SC2-2]
Modus Tonens:
If [4], then [7]. [SC1-3]
Not [7].
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (If [4], then [7].).
If (Either [9] or [10].), then (If [4], then [7].).
Therefore, If [4], then [7]..
|
{0: 'Some plant tissue contains toxic compounds.', 1: 'Organization theory is a broad field with roots in sociology.', 2: 'Frogs eat mainly insects and other small animals, including earthworms, minnows, and spiders.', 3: 'Crocodiles use lungs to breath.', 4: 'Government is largely a justice system.', 5: 'Sunlight penetrates ice and snow of a frozen lake, causing photosynthesis of phytoplankton.', 6: 'Stage light is located in theatres.', 7: 'Polarized light is depolarized when reflected from a grainy projection screen.', 8: 'Misery desires companies.', 9: 'Electric vehicles are a special type of dedicated vehicle.', 10: 'Long legs may have spots.'}
| 5 |
4,893 |
['Once we know the claim that woody plants produce leaves is false, we also know that most mountain tapirs live in mountain areas.', "So long as most mountain tapirs live in mountain areas, 'seabirds play a key role by transporting nutrients from the sea to the land' is true.", 'When seabirds play a key role by transporting nutrients from the sea to the land is true, it follows that color affects the surface temperature of the mulch and the underlying soil temperature.', "So long as color affects the surface temperature of the mulch and the underlying soil temperature, 'the claim that mother is associated with the transmission of life has no merit' is true.", 'If if store peroxides away from sources of light, heat, friction, and mechanical disturbance, then small children can finger paint and older children can paint with a brush, then if color affects the surface temperature of the mulch and the underlying soil temperature, then mother is associated with the transmission of life.', "So long as store peroxides away from sources of light, heat, friction, and mechanical disturbance, 'small children can finger paint and older children can paint with a brush' is true."]
|
Once we know the claim that woody plants produce leaves is false, we also know that most mountain tapirs live in mountain areas. So long as most mountain tapirs live in mountain areas, 'seabirds play a key role by transporting nutrients from the sea to the land' is true. When seabirds play a key role by transporting nutrients from the sea to the land is true, it follows that color affects the surface temperature of the mulch and the underlying soil temperature. So long as color affects the surface temperature of the mulch and the underlying soil temperature, 'the claim that mother is associated with the transmission of life has no merit' is true. If if store peroxides away from sources of light, heat, friction, and mechanical disturbance, then small children can finger paint and older children can paint with a brush, then if color affects the surface temperature of the mulch and the underlying soil temperature, then mother is associated with the transmission of life. So long as store peroxides away from sources of light, heat, friction, and mechanical disturbance, 'small children can finger paint and older children can paint with a brush' is true.
|
Those that suggest woody plants produce leaves are right.
|
Those that suggest woody plants produce leaves are right.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4]. [SC1-3]
If [2], then (Not [4].).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If (If [5], then [6].), then (If [2], then [4].).
If [5], then [6].
Therefore, If [2], then [4]..
|
{0: 'Woody plants produce leaves.', 1: 'Seabirds play a key role by transporting nutrients from the sea to the land.', 2: 'Color affects the surface temperature of the mulch and the underlying soil temperature.', 3: 'Most mountain tapirs live in mountain areas.', 4: 'Mother is associated with the transmission of life.', 5: 'Store peroxides away from sources of light, heat, friction, and mechanical disturbance.', 6: 'Small children can finger paint and older children can paint with a brush.'}
| 5 |
4,534 |
['It is a fact that either either cold milk is rare in most countries or honey is an antimicrobial agent, which means it inhibits the growth of bacteria, yeast, and mold or either most British wool is used for coarse fabrics such as carpets or if some electrodes continue to activate single muscles selectively after several months, then some european beeches have leaves.', 'The claim that either cold milk is rare in most countries or honey is an antimicrobial agent, which means it inhibits the growth of bacteria, yeast, and mold does not reflect reality.', 'If most British wool is used for coarse fabrics such as carpets, then wind moves vapor.', 'On the condition that douc langurs are found in Southeast Asian countries of Cambodia, Laos and Vietnam, it is definitely the case that if if some electrodes continue to activate single muscles selectively after several months, then some european beeches have leaves, then some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol.', 'It is fair to say that douc langurs are found in Southeast Asian countries of Cambodia, Laos and Vietnam.', 'Once we know it is a common misconception that if wind moves vapor, then some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol, we also know that journalists have (part) necks.', 'Some people mistakenly believe that journalists have (part) necks.']
|
It is a fact that either either cold milk is rare in most countries or honey is an antimicrobial agent, which means it inhibits the growth of bacteria, yeast, and mold or either most British wool is used for coarse fabrics such as carpets or if some electrodes continue to activate single muscles selectively after several months, then some european beeches have leaves. The claim that either cold milk is rare in most countries or honey is an antimicrobial agent, which means it inhibits the growth of bacteria, yeast, and mold does not reflect reality. If most British wool is used for coarse fabrics such as carpets, then wind moves vapor. On the condition that douc langurs are found in Southeast Asian countries of Cambodia, Laos and Vietnam, it is definitely the case that if if some electrodes continue to activate single muscles selectively after several months, then some european beeches have leaves, then some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol. It is fair to say that douc langurs are found in Southeast Asian countries of Cambodia, Laos and Vietnam. Once we know it is a common misconception that if wind moves vapor, then some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol, we also know that journalists have (part) necks. Some people mistakenly believe that journalists have (part) necks.
|
Some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol.
|
Some people mistakenly believe that dihydric alcohols are physically and chemically related to glycerol.
|
TRUE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (Either [1] or (If [2], then [3].).).
Not (Either [4] or [5].).
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Hypothetical Syllogism:
If [1], then [6].
If [6], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If [6], then (Not [0].).).), then [8].
Not [8].
Therefore, If [6], then (Not [0].)..
[SC3-1]
Modus Ponens:
If [7], then (If (If [2], then [3].), then (Not [0].).).
[7]
Therefore, If (If [2], then [3].), then (Not [0].)..
|
{0: 'Dihydric alcohols are physically and chemically related to glycerol.', 1: 'Most British wool is used for coarse fabrics such as carpets.', 2: 'Some electrodes continue to activate single muscles selectively after several months.', 3: 'Some european beeches have leaves.', 4: 'Cold milk is rare in most countries.', 5: 'Honey is an antimicrobial agent, which means it inhibits the growth of bacteria, yeast, and mold.', 6: 'Wind moves vapor.', 7: 'Douc langurs are found in Southeast Asian countries of Cambodia, Laos and Vietnam.', 8: 'Journalists have (part) necks.'}
| 5 |
4,903 |
['If septicemia can develop very quickly, then if the statement, triton has volcanoes and they are ice volcanoes, does not hold, then some digestion requires fermentation.', 'If some digestion requires fermentation, then some people mistakenly believe that banks can detect credit card fraud.', 'We know that at least one of two things is true: education is difficult in a society that is divided along economic, social, and racial lines, or septicemia can develop very quickly.', "The statement that 'education is difficult in a society that is divided along economic, social, and racial lines' is incorrect.", "So long as the notion that 'if some digestion requires fermentation, then banks can detect credit card fraud' is untrue, 'physical activity builds healthy bones, muscles and joints, and reduces the risk of colon cancer' is true.", "The notion that 'physical activity builds healthy bones, muscles and joints, and reduces the risk of colon cancer' is untrue."]
|
If septicemia can develop very quickly, then if the statement, triton has volcanoes and they are ice volcanoes, does not hold, then some digestion requires fermentation. If some digestion requires fermentation, then some people mistakenly believe that banks can detect credit card fraud. We know that at least one of two things is true: education is difficult in a society that is divided along economic, social, and racial lines, or septicemia can develop very quickly. The statement that 'education is difficult in a society that is divided along economic, social, and racial lines' is incorrect. So long as the notion that 'if some digestion requires fermentation, then banks can detect credit card fraud' is untrue, 'physical activity builds healthy bones, muscles and joints, and reduces the risk of colon cancer' is true. The notion that 'physical activity builds healthy bones, muscles and joints, and reduces the risk of colon cancer' is untrue.
|
The statement 'triton has volcanoes and they are ice volcanoes' is true.
|
The statement, triton has volcanoes and they are ice volcanoes, does not hold.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or [2].
Not [4].
Therefore, [2].
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [3].).), then [5].
Not [5].
Therefore, If [1], then [3]..
|
{0: 'Triton has volcanoes and they are ice volcanoes.', 1: 'Some digestion requires fermentation.', 2: 'Septicemia can develop very quickly.', 3: 'Banks can detect credit card fraud.', 4: 'Education is difficult in a society that is divided along economic, social, and racial lines.', 5: 'Physical activity builds healthy bones, muscles and joints, and reduces the risk of colon cancer.'}
| 5 |
4,276 |
['We know that either hurricanes produce storm surges, tornadoes, and often the most deadly of all - inland flooding or periwinkle grows well under trees and shrubs, on shaded slopes or on the north side of buildings.', 'Given that hurricanes produce storm surges, tornadoes, and often the most deadly of all - inland flooding, it can be inferred that if stamps are flexible to curve around most surfaces, then either hypocritical policy is the tangible form of societal decay or most water contains debris.', 'Given that periwinkle grows well under trees and shrubs, on shaded slopes or on the north side of buildings, it can be inferred that if stamps are flexible to curve around most surfaces, then either hypocritical policy is the tangible form of societal decay or most water contains debris.', 'It is rational to agree that pine trees use the energy they produce in a specific order.', 'When the statement, if pine trees use the energy they produce in a specific order, then it is not the case that either hypocritical policy is the tangible form of societal decay or most water contains debris, does not hold is true, it follows that participants eat fry food.', 'At least one of two things is true: promoters have (part) human bodies, or if the statement, if pine trees use the energy they produce in a specific order, then it is not the case that either hypocritical policy is the tangible form of societal decay or most water contains debris, does not hold, then it is not the case that participants eat fry food.', 'The claim that promoters have (part) human bodies has no merit.']
|
We know that either hurricanes produce storm surges, tornadoes, and often the most deadly of all - inland flooding or periwinkle grows well under trees and shrubs, on shaded slopes or on the north side of buildings. Given that hurricanes produce storm surges, tornadoes, and often the most deadly of all - inland flooding, it can be inferred that if stamps are flexible to curve around most surfaces, then either hypocritical policy is the tangible form of societal decay or most water contains debris. Given that periwinkle grows well under trees and shrubs, on shaded slopes or on the north side of buildings, it can be inferred that if stamps are flexible to curve around most surfaces, then either hypocritical policy is the tangible form of societal decay or most water contains debris. It is rational to agree that pine trees use the energy they produce in a specific order. When the statement, if pine trees use the energy they produce in a specific order, then it is not the case that either hypocritical policy is the tangible form of societal decay or most water contains debris, does not hold is true, it follows that participants eat fry food. At least one of two things is true: promoters have (part) human bodies, or if the statement, if pine trees use the energy they produce in a specific order, then it is not the case that either hypocritical policy is the tangible form of societal decay or most water contains debris, does not hold, then it is not the case that participants eat fry food. The claim that promoters have (part) human bodies has no merit.
|
The notion that 'stamps are flexible to curve around most surfaces' is untrue.
|
It is reasonable to believe that stamps are flexible to curve around most surfaces.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If [0], then (Either [1] or [2].).).
If [4], then (If [0], then (Either [1] or [2].).).
Therefore, If [0], then (Either [1] or [2].)..
[SC2-1]
Modus Ponens:
If [5], then (Not (Either [1] or [2].).). [SC1-2]
[5]
Therefore, Not (Either [1] or [2].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [5], then (Not (Either [1] or [2].).).).), then [6].
If (Not (If [5], then (Not (Either [1] or [2].).).).), then (Not [6].). [SC2-3]
Therefore, If [5], then (Not (Either [1] or [2].).)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (Not (If [5], then (Not (Either [1] or [2].).).).), then (Not [6].).).
Not [7].
Therefore, If (Not (If [5], then (Not (Either [1] or [2].).).).), then (Not [6].)..
|
{0: 'Stamps are flexible to curve around most surfaces.', 1: 'Hypocritical policy is the tangible form of societal decay.', 2: 'Most water contains debris.', 3: 'Hurricanes produce storm surges, tornadoes, and often the most deadly of all - inland flooding.', 4: 'Periwinkle grows well under trees and shrubs, on shaded slopes or on the north side of buildings.', 5: 'Pine trees use the energy they produce in a specific order.', 6: 'Participants eat fry food.', 7: 'Promoters have (part) human bodies.'}
| 5 |
4,284 |
['It is not the case that monkeys have appearances.', 'Provided that wars cost money and that money usually came from the peasants through the taxes that they paid, we know that the claim that if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes does not reflect reality.', "The statement 'wars cost money and that money usually came from the peasants through the taxes that they paid' is true.", 'Either mosquitoes feed on humans or spiders have seven-segmented legs and most have two or three claws.', 'One may reasonably assume that if mosquitoes feed on humans, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes.', 'It is a fact that either ulcerative colitis is also serious and chronically affects the large intestine and the rectum or poor posture can cause a negative chain reaction throughout the body, chiropractors say.', 'Once we know ulcerative colitis is also serious and chronically affects the large intestine and the rectum, we also know that if spiders have seven-segmented legs and most have two or three claws, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes.', 'If poor posture can cause a negative chain reaction throughout the body, chiropractors say, then if spiders have seven-segmented legs and most have two or three claws, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes.']
|
It is not the case that monkeys have appearances. Provided that wars cost money and that money usually came from the peasants through the taxes that they paid, we know that the claim that if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes does not reflect reality. The statement 'wars cost money and that money usually came from the peasants through the taxes that they paid' is true. Either mosquitoes feed on humans or spiders have seven-segmented legs and most have two or three claws. One may reasonably assume that if mosquitoes feed on humans, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes. It is a fact that either ulcerative colitis is also serious and chronically affects the large intestine and the rectum or poor posture can cause a negative chain reaction throughout the body, chiropractors say. Once we know ulcerative colitis is also serious and chronically affects the large intestine and the rectum, we also know that if spiders have seven-segmented legs and most have two or three claws, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes. If poor posture can cause a negative chain reaction throughout the body, chiropractors say, then if spiders have seven-segmented legs and most have two or three claws, then either monkeys have appearances or if it is not the case that ants cause damage, then if treatments have little effects, then aligned particles produce an unpolarized component when the particles have a variety of shapes.
|
It is fair to say that ants cause damage.
|
The notion that 'ants cause damage' is untrue.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
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].
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [4] or (If (Not [0].), then (If [1], then [2].).).).
If [6], then (Either [4] or (If (Not [0].), then (If [1], then [2].).).). [SC3-3]
Therefore, Either [4] or (If (Not [0].), then (If [1], then [2].).)..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (Either [4] or (If (Not [0].), then (If [1], then [2].).).).).
If [8], then (If [6], then (Either [4] or (If (Not [0].), then (If [1], then [2].).).).).
Therefore, If [6], then (Either [4] or (If (Not [0].), then (If [1], then [2].).).)..
[SC2-1]
Modus Ponens:
If [3], then (Not (If [1], then [2].).).
[3]
Therefore, Not (If [1], then [2].)..
|
{0: 'Ants cause damage.', 1: 'Treatments have little effects.', 2: 'Aligned particles produce an unpolarized component when the particles have a variety of shapes.', 3: 'Wars cost money and that money usually came from the peasants through the taxes that they paid.', 4: 'Monkeys have appearances.', 5: 'Mosquitoes feed on humans.', 6: 'Spiders have seven-segmented legs and most have two or three claws.', 7: 'Ulcerative colitis is also serious and chronically affects the large intestine and the rectum.', 8: 'Poor posture can cause a negative chain reaction throughout the body, chiropractors say.'}
| 5 |
4,470 |
['On the condition that some respiratory illnesses associate with inhalation, it is definitely the case that some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation.', 'At least one of two things is true: convertibles are security, or either some respiratory illnesses associate with inhalation or if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads.', 'Some people mistakenly believe that convertibles are security.', 'Should it be the case that the claim that if it is not true that if if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads, then some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation, then white light is made of many different colors does not reflect reality, it follows that if most plants produce single flowers, then climatic factors are responsible for the deterioration of the surface of the stones.', "Whenever it is true that the claim that if it is not true that if if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads, then some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation, then white light is made of many different colors does not reflect reality, 'it is not true that if most plants produce single flowers, then climatic factors are responsible for the deterioration of the surface of the stones' is true.", 'At least one of two things is true: lips are located in motion, or turkmenistan isa thing.', 'One may reasonably assume that if lips are located in motion, then the statement, white light is made of many different colors, does not hold.', 'Once we know turkmenistan isa thing, we also know that the statement, white light is made of many different colors, does not hold.']
|
On the condition that some respiratory illnesses associate with inhalation, it is definitely the case that some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation. At least one of two things is true: convertibles are security, or either some respiratory illnesses associate with inhalation or if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads. Some people mistakenly believe that convertibles are security. Should it be the case that the claim that if it is not true that if if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads, then some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation, then white light is made of many different colors does not reflect reality, it follows that if most plants produce single flowers, then climatic factors are responsible for the deterioration of the surface of the stones. Whenever it is true that the claim that if it is not true that if if paint also helps retain heat in the cool months, then black bears are smaller than grizzlies or polar bears and have more pointed heads, then some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation, then white light is made of many different colors does not reflect reality, 'it is not true that if most plants produce single flowers, then climatic factors are responsible for the deterioration of the surface of the stones' is true. At least one of two things is true: lips are located in motion, or turkmenistan isa thing. One may reasonably assume that if lips are located in motion, then the statement, white light is made of many different colors, does not hold. Once we know turkmenistan isa thing, we also know that the statement, white light is made of many different colors, does not hold.
|
Some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation.
|
Some people mistakenly believe that either schizophrenia is psychosis or rhetoric is the power of finding the available arguments suited to a given situation.
|
TRUE
|
Disjunction Elimination:
Either [2] or (If [3], then [4].). [SC1-1]
If [2], then (Not (Either [0] or [1].).).
If (If [3], then [4].), then (Not (Either [0] or [1].).). [SC3-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [6] or (Either [2] or (If [3], then [4].).).
Not [6].
Therefore, Either [2] or (If [3], then [4].)..
[SC3-1]
Modus Tonens:
If (Not (If (If [3], then [4].), then (Not (Either [0] or [1].).).).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, If (If [3], then [4].), then (Not (Either [0] or [1].).)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [3], then [4].), then (Not (Either [0] or [1].).).).), then [5].).), then (If [9], then [10].).
If (Not (If (Not (If (If [3], then [4].), then (Not (Either [0] or [1].).).).), then [5].).), then (Not (If [9], then [10].).).
Therefore, If (Not (If (If [3], then [4].), then (Not (Either [0] or [1].).).).), then [5]..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [5].).
If [8], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Schizophrenia is psychosis.', 1: 'Rhetoric is the power of finding the available arguments suited to a given situation.', 2: 'Some respiratory illnesses associate with inhalation.', 3: 'Paint also helps retain heat in the cool months.', 4: 'Black bears are smaller than grizzlies or polar bears and have more pointed heads.', 5: 'White light is made of many different colors.', 6: 'Convertibles are security.', 7: 'Lips are located in motion.', 8: 'Turkmenistan isa thing.', 9: 'Most plants produce single flowers.', 10: 'Climatic factors are responsible for the deterioration of the surface of the stones.'}
| 5 |
4,426 |
['We can assume that estuaries are areas of water and shoreline typically found where rivers meet the ocean.', 'The claim that futures are a distinct asset class different from securities does not correspond with reality.', 'On the condition that it is not the case that either futures are a distinct asset class different from securities or if estuaries are areas of water and shoreline typically found where rivers meet the ocean, then it is not true that fruit has smell, it is definitely the case that wavelet transformation enables images to be coded in a continuous datastream.', 'On the condition that it is not the case that either futures are a distinct asset class different from securities or if estuaries are areas of water and shoreline typically found where rivers meet the ocean, then it is not true that fruit has smell, it is definitely the case that flowers attract creatures.', 'There is good reason to believe that either fungi form stromas or an epistle is a letter.', 'Provided that fungi form stromas, we know that if flowers attract creatures, then those that suggest wavelet transformation enables images to be coded in a continuous datastream are wrong.', 'If an epistle is a letter, then if flowers attract creatures, then those that suggest wavelet transformation enables images to be coded in a continuous datastream are wrong.']
|
We can assume that estuaries are areas of water and shoreline typically found where rivers meet the ocean. The claim that futures are a distinct asset class different from securities does not correspond with reality. On the condition that it is not the case that either futures are a distinct asset class different from securities or if estuaries are areas of water and shoreline typically found where rivers meet the ocean, then it is not true that fruit has smell, it is definitely the case that wavelet transformation enables images to be coded in a continuous datastream. On the condition that it is not the case that either futures are a distinct asset class different from securities or if estuaries are areas of water and shoreline typically found where rivers meet the ocean, then it is not true that fruit has smell, it is definitely the case that flowers attract creatures. There is good reason to believe that either fungi form stromas or an epistle is a letter. Provided that fungi form stromas, we know that if flowers attract creatures, then those that suggest wavelet transformation enables images to be coded in a continuous datastream are wrong. If an epistle is a letter, then if flowers attract creatures, then those that suggest wavelet transformation enables images to be coded in a continuous datastream are wrong.
|
It is not true that fruit has smell.
|
The claim that many fruits are eaten animals, and the seeds are dropped after the fruit is digested does not correspond with reality.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then (Not [0].).). [SC1-2]
Not [2].
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or (If [1], then (Not [0].).).).), then [3].
If (Not (Either [2] or (If [1], then (Not [0].).).).), then (Not [3].). [SC2-3]
Therefore, Either [2] or (If [1], then (Not [0].).)..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [2] or (If [1], then (Not [0].).).).), then [4].
If [4], then (Not [3].). [SC2-4]
Therefore, If (Not (Either [2] or (If [1], then (Not [0].).).).), then (Not [3].)..
[SC2-4]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (Not [3].).).
If [6], then (If [4], then (Not [3].).).
Therefore, If [4], then (Not [3].)..
|
{0: 'Fruit has smell.', 1: 'Estuaries are areas of water and shoreline typically found where rivers meet the ocean.', 2: 'Futures are a distinct asset class different from securities.', 3: 'Wavelet transformation enables images to be coded in a continuous datastream.', 4: 'Flowers attract creatures.', 5: 'Fungi form stromas.', 6: 'An epistle is a letter.'}
| 5 |
4,281 |
['It is a fact that either if register nurses have many opportunity, then infected trees slow in growth rate, have branches dying, and their leaves are small and yellowed or if heat loss is the primary characteristic of inefficiency and can be caused by numerous reasons, then gases have little or no interactions between the atoms or molecules.', 'The statement that states cytokinin is plant hormones is false.', 'When the claim that either cytokinin is plant hormones or the claim that if register nurses have many opportunity, then infected trees slow in growth rate, have branches dying, and their leaves are small and yellowed has no merit has no merit is true, it follows that some squirrels are crepuscular.', 'Given that some squirrels are crepuscular, it can be inferred that it is a common misconception that parakeets are a part of ancient history.', 'When the statement that states if some squirrels are crepuscular, then parakeets are a part of ancient history is false is true, it follows that if most water runs off the surface, down a hill and eventually into a river, then blood is used to move fuel and oxygen to all of the brain cells.', 'When the statement that states if some squirrels are crepuscular, then parakeets are a part of ancient history is false is true, it follows that the claim that if most water runs off the surface, down a hill and eventually into a river, then blood is used to move fuel and oxygen to all of the brain cells has no merit.']
|
It is a fact that either if register nurses have many opportunity, then infected trees slow in growth rate, have branches dying, and their leaves are small and yellowed or if heat loss is the primary characteristic of inefficiency and can be caused by numerous reasons, then gases have little or no interactions between the atoms or molecules. The statement that states cytokinin is plant hormones is false. When the claim that either cytokinin is plant hormones or the claim that if register nurses have many opportunity, then infected trees slow in growth rate, have branches dying, and their leaves are small and yellowed has no merit has no merit is true, it follows that some squirrels are crepuscular. Given that some squirrels are crepuscular, it can be inferred that it is a common misconception that parakeets are a part of ancient history. When the statement that states if some squirrels are crepuscular, then parakeets are a part of ancient history is false is true, it follows that if most water runs off the surface, down a hill and eventually into a river, then blood is used to move fuel and oxygen to all of the brain cells. When the statement that states if some squirrels are crepuscular, then parakeets are a part of ancient history is false is true, it follows that the claim that if most water runs off the surface, down a hill and eventually into a river, then blood is used to move fuel and oxygen to all of the brain cells has no merit.
|
Whenever it is true that heat loss is the primary characteristic of inefficiency and can be caused by numerous reasons, 'gases have little or no interactions between the atoms or molecules' is true.
|
The claim that if heat loss is the primary characteristic of inefficiency and can be caused by numerous reasons, then gases have little or no interactions between the atoms or molecules does not reflect reality.
|
FALSE
|
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [0], then [1].).
Not (If [2], then [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not (If [2], then [3].).). [SC1-2]
Not [4].
Therefore, Not (If [2], then [3].)..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or (Not (If [2], then [3].).).).), then [5].
Not [5]. [SC2-3]
Therefore, Either [4] or (Not (If [2], then [3].).)..
[SC2-3]
Reductio Ad Absurdum:
If [5], then [6]. [SC1-4]
If [5], then (Not [6].).
Therefore, Not [5]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then (If [7], then [8].).
If (Not (If [5], then [6].).), then (Not (If [7], then [8].).).
Therefore, If [5], then [6]..
|
{0: 'Heat loss is the primary characteristic of inefficiency and can be caused by numerous reasons.', 1: 'Gases have little or no interactions between the atoms or molecules.', 2: 'Register nurses have many opportunity.', 3: 'Infected trees slow in growth rate, have branches dying, and their leaves are small and yellowed.', 4: 'Cytokinin is plant hormones.', 5: 'Some squirrels are crepuscular.', 6: 'Parakeets are a part of ancient history.', 7: 'Most water runs off the surface, down a hill and eventually into a river.', 8: 'Blood is used to move fuel and oxygen to all of the brain cells.'}
| 5 |
4,120 |
["So long as curators administer affairs of museums and conduct scientific research programs, 'lifestyle isa fashion' is true.", 'On the condition that if most turtles make waste, then adrenal glands release cortisol, it is definitely the case that it is not true that lifestyle isa fashion.', 'Should it be the case that most turtles make waste, it follows that adrenal glands release cortisol.', 'Once we know printers are located in desks, we also know that either curators administer affairs of museums and conduct scientific research programs or biospheres are regions.', 'It is fair to say that printers are located in desks.', 'We know that at least one of two things is true: most crocodiles eat fish, or exercise is an important part of pregnancy health.', 'Once we know most crocodiles eat fish, we also know that if biospheres are regions, then protect areas have serious poach problems.', 'If exercise is an important part of pregnancy health, then if biospheres are regions, then protect areas have serious poach problems.']
|
So long as curators administer affairs of museums and conduct scientific research programs, 'lifestyle isa fashion' is true. On the condition that if most turtles make waste, then adrenal glands release cortisol, it is definitely the case that it is not true that lifestyle isa fashion. Should it be the case that most turtles make waste, it follows that adrenal glands release cortisol. Once we know printers are located in desks, we also know that either curators administer affairs of museums and conduct scientific research programs or biospheres are regions. It is fair to say that printers are located in desks. We know that at least one of two things is true: most crocodiles eat fish, or exercise is an important part of pregnancy health. Once we know most crocodiles eat fish, we also know that if biospheres are regions, then protect areas have serious poach problems. If exercise is an important part of pregnancy health, then if biospheres are regions, then protect areas have serious poach problems.
|
It is rational to agree that protect areas have serious poach problems.
|
It is rational to agree that protect areas have serious poach problems.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1].
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [8], then (Either [2] or [3].).
[8]
Therefore, Either [2] or [3]..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [3], then [0].).
If [7], then (If [3], then [0].).
Therefore, If [3], then [0]..
[SC2-1]
Modus Ponens:
If (If [4], then [5].), then (Not [1].).
If [4], then [5].
Therefore, Not [1]..
|
{0: 'Protect areas have serious poach problems.', 1: 'Lifestyle isa fashion.', 2: 'Curators administer affairs of museums and conduct scientific research programs.', 3: 'Biospheres are regions.', 4: 'Most turtles make waste.', 5: 'Adrenal glands release cortisol.', 6: 'Most crocodiles eat fish.', 7: 'Exercise is an important part of pregnancy health.', 8: 'Printers are located in desks.'}
| 5 |
4,593 |
['There is good reason to believe that either if coral is plentiful the fish life is restricted to small but plentiful tropicals, then most inorganic arsenic is dissolved or some butterflies are located on bodies.', 'One may reasonably assume that if if coral is plentiful the fish life is restricted to small but plentiful tropicals, then most inorganic arsenic is dissolved, then either wolves use hunt techniques or individuals produce offspring.', 'Assuming some butterflies are located on bodies, we know that either wolves use hunt techniques or individuals produce offspring.', 'Either one or both of these statements are true: states vary widely in their child care policies and funding levels, or if wolves use hunt techniques, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes.', "The notion that 'states vary widely in their child care policies and funding levels' is untrue.", 'It is a fact that either style has specific methods or orange food is anti-spasmodic and good for pains and cramps.', 'Given that orange food is anti-spasmodic and good for pains and cramps, it can be inferred that if individuals produce offspring, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes.', 'On the condition that either some beverages are produced by snakes or depressions are mental illnesses, it is definitely the case that if style has specific methods, then if individuals produce offspring, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes.', 'Either one or both of these statements are true: some beverages are produced by snakes, or depressions are mental illnesses.']
|
There is good reason to believe that either if coral is plentiful the fish life is restricted to small but plentiful tropicals, then most inorganic arsenic is dissolved or some butterflies are located on bodies. One may reasonably assume that if if coral is plentiful the fish life is restricted to small but plentiful tropicals, then most inorganic arsenic is dissolved, then either wolves use hunt techniques or individuals produce offspring. Assuming some butterflies are located on bodies, we know that either wolves use hunt techniques or individuals produce offspring. Either one or both of these statements are true: states vary widely in their child care policies and funding levels, or if wolves use hunt techniques, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes. The notion that 'states vary widely in their child care policies and funding levels' is untrue. It is a fact that either style has specific methods or orange food is anti-spasmodic and good for pains and cramps. Given that orange food is anti-spasmodic and good for pains and cramps, it can be inferred that if individuals produce offspring, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes. On the condition that either some beverages are produced by snakes or depressions are mental illnesses, it is definitely the case that if style has specific methods, then if individuals produce offspring, then it is not true that ferns come in a variety of sizes, some are very small and others can be large bushes. Either one or both of these statements are true: some beverages are produced by snakes, or depressions are mental illnesses.
|
It is not true that ferns come in a variety of sizes, some are very small and others can be large bushes.
|
The statement 'ferns come in a variety of sizes, some are very small and others can be large bushes' is true.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (Either [1] or [2].).
If [5], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If [1], then (Not [0].).).
Not [6].
Therefore, If [1], then (Not [0].)..
[SC3-1]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [2], then (Not [0].).). [SC2-2]
If [8], then (If [2], then (Not [0].).).
Therefore, If [2], then (Not [0].)..
[SC2-2]
Modus Ponens:
If (Either [9] or [10].), then (If [7], then (If [2], then (Not [0].).).).
Either [9] or [10].
Therefore, If [7], then (If [2], then (Not [0].).)..
|
{0: 'Ferns come in a variety of sizes, some are very small and others can be large bushes.', 1: 'Wolves use hunt techniques.', 2: 'Individuals produce offspring.', 3: 'Coral is plentiful the fish life is restricted to small but plentiful tropicals.', 4: 'Most inorganic arsenic is dissolved.', 5: 'Some butterflies are located on bodies.', 6: 'States vary widely in their child care policies and funding levels.', 7: 'Style has specific methods.', 8: 'Orange food is anti-spasmodic and good for pains and cramps.', 9: 'Some beverages are produced by snakes.', 10: 'Depressions are mental illnesses.'}
| 5 |
4,981 |
['Either liens are items such as property taxes, mortgage loans, and judgments or most male birds have no sex organs that can be seen.', 'Given that most male birds have no sex organs that can be seen, it can be inferred that either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away.', "The statement that 'witches have (part) sections' is incorrect.", 'When those that suggest if liens are items such as property taxes, mortgage loans, and judgments, then either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away are wrong is true, it follows that allocations are assignments.', 'On the condition that those that suggest if liens are items such as property taxes, mortgage loans, and judgments, then either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away are wrong, it is definitely the case that it is not the case that allocations are assignments.', 'Provided that it is not the case that either witches have (part) sections or those that suggest alpha particles carry a positive charge and are highly energetic are wrong, we know that job stress is a serious threat to employees health and productivity.', 'Assuming it is not the case that either witches have (part) sections or those that suggest alpha particles carry a positive charge and are highly energetic are wrong, we know that it is a common misconception that job stress is a serious threat to employees health and productivity.']
|
Either liens are items such as property taxes, mortgage loans, and judgments or most male birds have no sex organs that can be seen. Given that most male birds have no sex organs that can be seen, it can be inferred that either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away. The statement that 'witches have (part) sections' is incorrect. When those that suggest if liens are items such as property taxes, mortgage loans, and judgments, then either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away are wrong is true, it follows that allocations are assignments. On the condition that those that suggest if liens are items such as property taxes, mortgage loans, and judgments, then either alpha particles carry a positive charge and are highly energetic or winter snows are fairly frequent, but mostly light and quickly melt away are wrong, it is definitely the case that it is not the case that allocations are assignments. Provided that it is not the case that either witches have (part) sections or those that suggest alpha particles carry a positive charge and are highly energetic are wrong, we know that job stress is a serious threat to employees health and productivity. Assuming it is not the case that either witches have (part) sections or those that suggest alpha particles carry a positive charge and are highly energetic are wrong, we know that it is a common misconception that job stress is a serious threat to employees health and productivity.
|
winter snows are fairly frequent, but mostly light and quickly melt away.
|
Winter snow allows for ski-ing and all other winter sports.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [1] or [0].). [SC2-2]
If [3], then (Either [1] or [0].).
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Either [1] or [0].).).), then [5].
If (Not (If [2], then (Either [1] or [0].).).), then (Not [5].).
Therefore, If [2], then (Either [1] or [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].). [SC1-2]
Not [4].
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or (Not [1].).).), then [6].
If (Not (Either [4] or (Not [1].).).), then (Not [6].).
Therefore, Either [4] or (Not [1].)..
|
{0: 'Winter snows are fairly frequent, but mostly light and quickly melt away.', 1: 'Alpha particles carry a positive charge and are highly energetic.', 2: 'Liens are items such as property taxes, mortgage loans, and judgments.', 3: 'Most male birds have no sex organs that can be seen.', 4: 'Witches have (part) sections.', 5: 'Allocations are assignments.', 6: 'Job stress is a serious threat to employees health and productivity.'}
| 5 |
4,013 |
["The notion that 'walruses inhabit areas in the Arctic that are largely made up of ice' is untrue.", "There is good reason to believe that either culture is the set of norms and behaviors that reflect a business' true character or recurrent cancer is cancer that has come back after treatment.", "Those that suggest culture is the set of norms and behaviors that reflect a business' true character are wrong.", 'At least one of two things is true: gift exchange is a time-honored, popular tradition in Japan, or toadstools have (part) cell membranes.', 'Assuming gift exchange is a time-honored, popular tradition in Japan, we know that walruses inhabit areas in the Arctic that are largely made up of ice.', 'One may reasonably assume that if some people mistakenly believe that if toadstools have (part) cell membranes, then if recurrent cancer is cancer that has come back after treatment, then histology is fundamental to an understanding of pathology and elements of cell biology, then histiocytosis syndromes in children.', 'Assuming some people mistakenly believe that if toadstools have (part) cell membranes, then if recurrent cancer is cancer that has come back after treatment, then histology is fundamental to an understanding of pathology and elements of cell biology, we know that we know that the claim that histiocytosis syndromes in children is false.']
|
The notion that 'walruses inhabit areas in the Arctic that are largely made up of ice' is untrue. There is good reason to believe that either culture is the set of norms and behaviors that reflect a business' true character or recurrent cancer is cancer that has come back after treatment. Those that suggest culture is the set of norms and behaviors that reflect a business' true character are wrong. At least one of two things is true: gift exchange is a time-honored, popular tradition in Japan, or toadstools have (part) cell membranes. Assuming gift exchange is a time-honored, popular tradition in Japan, we know that walruses inhabit areas in the Arctic that are largely made up of ice. One may reasonably assume that if some people mistakenly believe that if toadstools have (part) cell membranes, then if recurrent cancer is cancer that has come back after treatment, then histology is fundamental to an understanding of pathology and elements of cell biology, then histiocytosis syndromes in children. Assuming some people mistakenly believe that if toadstools have (part) cell membranes, then if recurrent cancer is cancer that has come back after treatment, then histology is fundamental to an understanding of pathology and elements of cell biology, we know that we know that the claim that histiocytosis syndromes in children is false.
|
histology is fundamental to an understanding of pathology and elements of cell biology.
|
Histology includes cytochemical and immunocytochemical staining and labeling.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].). [SC1-2]
Not [2].
Therefore, If [1], then [0]..
[SC1-2]
Constructive Dilemma:
Either [4] or [5].
If [4], then [2].
If [5], then (If [1], then [0].). [SC3-3]
Therefore, Either [2] or (If [1], then [0].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [5], then (If [1], then [0].).).), then [6].
If (Not (If [5], then (If [1], then [0].).).), then (Not [6].).
Therefore, If [5], then (If [1], then [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1].
Not [3].
Therefore, [1].
|
{0: 'Histology is fundamental to an understanding of pathology and elements of cell biology.', 1: 'Recurrent cancer is cancer that has come back after treatment.', 2: 'Walruses inhabit areas in the Arctic that are largely made up of ice.', 3: "Culture is the set of norms and behaviors that reflect a business' true character.", 4: 'Gift exchange is a time-honored, popular tradition in Japan.', 5: 'Toadstools have (part) cell membranes.', 6: 'Histiocytosis syndromes in children.'}
| 5 |
4,655 |
["So long as the claim that if proper vegetation helps take moisture from the ground and the system, then icons are symbols that express a different emotion or identity does not correspond with reality, 'if natural gases have lower density, then an iodide is a halide' is true.", 'Some people mistakenly believe that if natural gases have lower density, then an iodide is a halide.', "Given that it is not the case that if proper vegetation helps take moisture from the ground and the system, then the statement 'icons are symbols that express a different emotion or identity' can be considered false, it can be inferred that diamondback terrapins breed, in the water, in the early spring.", "If it is not the case that if proper vegetation helps take moisture from the ground and the system, then the statement 'icons are symbols that express a different emotion or identity' can be considered false, then pets can have reaction.", 'It is a fact that either most snowmobile accidents result in personal injury or if pets can have reaction, then the claim that diamondback terrapins breed, in the water, in the early spring does not reflect reality.', 'The claim that most snowmobile accidents result in personal injury has no merit.']
|
So long as the claim that if proper vegetation helps take moisture from the ground and the system, then icons are symbols that express a different emotion or identity does not correspond with reality, 'if natural gases have lower density, then an iodide is a halide' is true. Some people mistakenly believe that if natural gases have lower density, then an iodide is a halide. Given that it is not the case that if proper vegetation helps take moisture from the ground and the system, then the statement 'icons are symbols that express a different emotion or identity' can be considered false, it can be inferred that diamondback terrapins breed, in the water, in the early spring. If it is not the case that if proper vegetation helps take moisture from the ground and the system, then the statement 'icons are symbols that express a different emotion or identity' can be considered false, then pets can have reaction. It is a fact that either most snowmobile accidents result in personal injury or if pets can have reaction, then the claim that diamondback terrapins breed, in the water, in the early spring does not reflect reality. The claim that most snowmobile accidents result in personal injury has no merit.
|
The statement, proper vegetation helps take moisture from the ground and the system, does not hold.
|
Many people rightly believe that proper vegetation helps take moisture from the ground and the system.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then (If [2], then [3].).
Not (If [2], then [3].).
Therefore, If [0], then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [0], then (Not [1].).).), then [4].
If (Not (If [0], then (Not [1].).).), then (Not [4].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [0], then (Not [1].).).), then [5].
If [5], then (Not [4].). [SC2-3]
Therefore, If (Not (If [0], then (Not [1].).).), then (Not [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (If [5], then (Not [4].).).
Not [6].
Therefore, If [5], then (Not [4].)..
|
{0: 'Proper vegetation helps take moisture from the ground and the system.', 1: 'Icons are symbols that express a different emotion or identity.', 2: 'Natural gases have lower density.', 3: 'An iodide is a halide.', 4: 'Diamondback terrapins breed, in the water, in the early spring.', 5: 'Pets can have reaction.', 6: 'Most snowmobile accidents result in personal injury.'}
| 5 |
4,455 |
["The notion that 'if birds require insects, then garages are used for mechanics' is untrue.", 'Provided that if most complex carbohydrates serve functions, then most feathers come from birds, we know that if magnesium isa metal, then if birds require insects, then garages are used for mechanics.', 'The claim that either healthy food contains calories or milk produces odor does not correspond with reality.', 'Either one or both of these statements are true: rider riders ride horses, or either either healthy food contains calories or milk produces odor or if most complex carbohydrates serve functions, then most feathers come from birds.', 'Once we know rider riders ride horses, we also know that objects have properties that can be observed using the senses.', "The statement 'objects have properties that can be observed using the senses' can be considered false."]
|
The notion that 'if birds require insects, then garages are used for mechanics' is untrue. Provided that if most complex carbohydrates serve functions, then most feathers come from birds, we know that if magnesium isa metal, then if birds require insects, then garages are used for mechanics. The claim that either healthy food contains calories or milk produces odor does not correspond with reality. Either one or both of these statements are true: rider riders ride horses, or either either healthy food contains calories or milk produces odor or if most complex carbohydrates serve functions, then most feathers come from birds. Once we know rider riders ride horses, we also know that objects have properties that can be observed using the senses. The statement 'objects have properties that can be observed using the senses' can be considered false.
|
The statement, magnesium isa metal, does not hold.
|
It is fair to say that magnesium isa metal.
|
FALSE
|
Modus Tonens:
If [0], then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If (If [3], then [4].), then (If [0], then (If [1], then [2].).).
If [3], then [4]. [SC2-2]
Therefore, If [0], then (If [1], then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If [3], then [4].). [SC1-3]
Not (Either [5] or [6].).
Therefore, If [3], then [4]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either (Either [5] or [6].) or (If [3], then [4].).).
Not [7]. [SC2-4]
Therefore, Either (Either [5] or [6].) or (If [3], then [4].)..
[SC2-4]
Modus Tonens:
If [7], then [8].
Not [8].
Therefore, Not [7]..
|
{0: 'Magnesium isa metal.', 1: 'Birds require insects.', 2: 'Garages are used for mechanics.', 3: 'Most complex carbohydrates serve functions.', 4: 'Most feathers come from birds.', 5: 'Healthy food contains calories.', 6: 'Milk produces odor.', 7: 'Rider riders ride horses.', 8: 'Objects have properties that can be observed using the senses.'}
| 5 |
4,584 |
['Provided that cortexes produce several steroid hormones, we know that the claim that critical inquiry allows for freedom of belief as it separates belief from knowledge does not reflect reality.', 'On the condition that either some cockatiels have style or theories show characteristics, it is definitely the case that if the statement that states cortexes produce several steroid hormones is false, then chinese medicine uses acupuncture to adjust the flow of energy in the body.', 'We know that at least one of two things is true: some cockatiels have style, or theories show characteristics.', "So long as feelings are subjective emotional states, 'the statement that 'chinese medicine uses acupuncture to adjust the flow of energy in the body' is incorrect' is true.", "On the condition that horse harnesses for heavy pulling, it is definitely the case that the statement that 'chinese medicine uses acupuncture to adjust the flow of energy in the body' is incorrect.", 'We know that at least one of two things is true: particle size makes all the difference in how the particles affect insects, or if physical maturation is slow with infants being weaned shortly before birth of the next offspring, then most mice carry genes.', "So long as particle size makes all the difference in how the particles affect insects, 'either feelings are subjective emotional states or horse harnesses for heavy pulling' is true.", 'Assuming if physical maturation is slow with infants being weaned shortly before birth of the next offspring, then most mice carry genes, we know that either feelings are subjective emotional states or horse harnesses for heavy pulling.']
|
Provided that cortexes produce several steroid hormones, we know that the claim that critical inquiry allows for freedom of belief as it separates belief from knowledge does not reflect reality. On the condition that either some cockatiels have style or theories show characteristics, it is definitely the case that if the statement that states cortexes produce several steroid hormones is false, then chinese medicine uses acupuncture to adjust the flow of energy in the body. We know that at least one of two things is true: some cockatiels have style, or theories show characteristics. So long as feelings are subjective emotional states, 'the statement that 'chinese medicine uses acupuncture to adjust the flow of energy in the body' is incorrect' is true. On the condition that horse harnesses for heavy pulling, it is definitely the case that the statement that 'chinese medicine uses acupuncture to adjust the flow of energy in the body' is incorrect. We know that at least one of two things is true: particle size makes all the difference in how the particles affect insects, or if physical maturation is slow with infants being weaned shortly before birth of the next offspring, then most mice carry genes. So long as particle size makes all the difference in how the particles affect insects, 'either feelings are subjective emotional states or horse harnesses for heavy pulling' is true. Assuming if physical maturation is slow with infants being weaned shortly before birth of the next offspring, then most mice carry genes, we know that either feelings are subjective emotional states or horse harnesses for heavy pulling.
|
The claim that critical inquiry allows for freedom of belief as it separates belief from knowledge does not reflect reality.
|
The statement 'critical inquiry refers to the gathering, interpretation, and evaluation of evidence' can be considered false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If (Not [1].), then [2].).
Either [5] or [6].
Therefore, If (Not [1].), then [2]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
[SC1-3]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Either [3] or [4].).
If (If [8], then [9].), then (Either [3] or [4].).
Therefore, Either [3] or [4]..
|
{0: 'Critical inquiry allows for freedom of belief as it separates belief from knowledge.', 1: 'Cortexes produce several steroid hormones.', 2: 'Chinese medicine uses acupuncture to adjust the flow of energy in the body.', 3: 'Feelings are subjective emotional states.', 4: 'Horse harnesses for heavy pulling.', 5: 'Some cockatiels have style.', 6: 'Theories show characteristics.', 7: 'Particle size makes all the difference in how the particles affect insects.', 8: 'Physical maturation is slow with infants being weaned shortly before birth of the next offspring.', 9: 'Most mice carry genes.'}
| 5 |
4,955 |
['One may reasonably assume that if summer rains come in torrents when they come at all, then hosts complete development.', 'At least one of two things is true: industries suffer damage, or either resource managers improve effects or bubble wrap helps small rodents maintain body temperature.', "Whenever it is true that industries suffer damage, 'the statement that states hosts complete development is false' is true.", 'Should it be the case that either resource managers improve effects or bubble wrap helps small rodents maintain body temperature, it follows that the statement that states hosts complete development is false.', 'Either incontinence can occasionally occur, causing great embarrassment and anxiety or if the claim that rats can chew through wood, plaster, hard plastic, and soft metal does not correspond with reality, then summer rains come in torrents when they come at all.', 'We know that at least one of two things is true: most sea turtles graze on plants, or sulfur forms stable compounds with all elements except the noble gases .', "Whenever it is true that most sea turtles graze on plants, 'some people mistakenly believe that incontinence can occasionally occur, causing great embarrassment and anxiety' is true.", 'On the condition that sulfur forms stable compounds with all elements except the noble gases , it is definitely the case that some people mistakenly believe that incontinence can occasionally occur, causing great embarrassment and anxiety.']
|
One may reasonably assume that if summer rains come in torrents when they come at all, then hosts complete development. At least one of two things is true: industries suffer damage, or either resource managers improve effects or bubble wrap helps small rodents maintain body temperature. Whenever it is true that industries suffer damage, 'the statement that states hosts complete development is false' is true. Should it be the case that either resource managers improve effects or bubble wrap helps small rodents maintain body temperature, it follows that the statement that states hosts complete development is false. Either incontinence can occasionally occur, causing great embarrassment and anxiety or if the claim that rats can chew through wood, plaster, hard plastic, and soft metal does not correspond with reality, then summer rains come in torrents when they come at all. We know that at least one of two things is true: most sea turtles graze on plants, or sulfur forms stable compounds with all elements except the noble gases . Whenever it is true that most sea turtles graze on plants, 'some people mistakenly believe that incontinence can occasionally occur, causing great embarrassment and anxiety' is true. On the condition that sulfur forms stable compounds with all elements except the noble gases , it is definitely the case that some people mistakenly believe that incontinence can occasionally occur, causing great embarrassment and anxiety.
|
It is true that rats can chew through wood, plaster, hard plastic, and soft metal.
|
Rats are mammals.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not [0].), then [2].).
Not [6]. [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].).
Therefore, Not [6]..
[SC2-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (Not [1].).
If (Either [4] or [5].), then (Not [1].).
Therefore, Not [1]..
|
{0: 'Rats can chew through wood, plaster, hard plastic, and soft metal.', 1: 'Hosts complete development.', 2: 'Summer rains come in torrents when they come at all.', 3: 'Industries suffer damage.', 4: 'Resource managers improve effects.', 5: 'Bubble wrap helps small rodents maintain body temperature.', 6: 'Incontinence can occasionally occur, causing great embarrassment and anxiety.', 7: 'Most sea turtles graze on plants.', 8: 'Sulfur forms stable compounds with all elements except the noble gases .'}
| 5 |
4,160 |
['Assuming the claim that if pecan trees develop a true taproot that requires protection throughout shipping and planting, then antigens are generally proteins and other large organic molecules does not correspond with reality, we know that blowflies make noise.', 'Should it be the case that most fungi have myceliums, it follows that the statement that states antigens are generally proteins and other large organic molecules is false.', "Whenever it is true that it is not true that if the claim that if pecan trees develop a true taproot that requires protection throughout shipping and planting, then antigens are generally proteins and other large organic molecules does not correspond with reality, then the claim that blowflies make noise does not correspond with reality, 'sediment often collects in the bottom of a hot water heater' is true.", 'We know that the claim that sediment often collects in the bottom of a hot water heater is false.', 'Given that some people mistakenly believe that most fungi have myceliums, it can be inferred that some whales eat marine mammals.', 'We know that the claim that some whales eat marine mammals is false.']
|
Assuming the claim that if pecan trees develop a true taproot that requires protection throughout shipping and planting, then antigens are generally proteins and other large organic molecules does not correspond with reality, we know that blowflies make noise. Should it be the case that most fungi have myceliums, it follows that the statement that states antigens are generally proteins and other large organic molecules is false. Whenever it is true that it is not true that if the claim that if pecan trees develop a true taproot that requires protection throughout shipping and planting, then antigens are generally proteins and other large organic molecules does not correspond with reality, then the claim that blowflies make noise does not correspond with reality, 'sediment often collects in the bottom of a hot water heater' is true. We know that the claim that sediment often collects in the bottom of a hot water heater is false. Given that some people mistakenly believe that most fungi have myceliums, it can be inferred that some whales eat marine mammals. We know that the claim that some whales eat marine mammals is false.
|
The statement 'pecan trees develop a true taproot that requires protection throughout shipping and planting' can be considered false.
|
Those that suggest pecan trees develop a true taproot that requires protection throughout shipping and planting are right.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then (Not [2].).).), then [4].
Not [4].
Therefore, If (Not (If [0], then [1].).), then (Not [2].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not [3].), then [5].
Not [5].
Therefore, [3].
|
{0: 'Pecan trees develop a true taproot that requires protection throughout shipping and planting.', 1: 'Antigens are generally proteins and other large organic molecules.', 2: 'Blowflies make noise.', 3: 'Most fungi have myceliums.', 4: 'Sediment often collects in the bottom of a hot water heater.', 5: 'Some whales eat marine mammals.'}
| 5 |
4,977 |
['Should it be the case that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd, it follows that either some women have labor pains that are concentrated in their back or moral decisions are similar to the creative decisions of artists in concrete situations.', 'When mental illnesses are more common than cancer or heart disease is true, it follows that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd.', 'Should it be the case that firewalls protect services from unauthorized access, it follows that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd.', 'There is good reason to believe that either domestic violence is insidious because very often it happens behind closed doors or if the statement, either mental illnesses are more common than cancer or heart disease or firewalls protect services from unauthorized access, does not hold, then if heart disease remains the greatest killer of African American women, then price is affected by fashion, wool quality, and many other factors.', 'Those that suggest domestic violence is insidious because very often it happens behind closed doors are wrong.', 'If the claim that if the statement, either mental illnesses are more common than cancer or heart disease or firewalls protect services from unauthorized access, does not hold, then the claim that if heart disease remains the greatest killer of African American women, then price is affected by fashion, wool quality, and many other factors is false has no merit, then abortion is a multi-billion dollar industry.', 'Some people mistakenly believe that abortion is a multi-billion dollar industry.']
|
Should it be the case that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd, it follows that either some women have labor pains that are concentrated in their back or moral decisions are similar to the creative decisions of artists in concrete situations. When mental illnesses are more common than cancer or heart disease is true, it follows that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd. Should it be the case that firewalls protect services from unauthorized access, it follows that either affordable housing increases property values or zebras protect themselves from predators by keeping together in the herd. There is good reason to believe that either domestic violence is insidious because very often it happens behind closed doors or if the statement, either mental illnesses are more common than cancer or heart disease or firewalls protect services from unauthorized access, does not hold, then if heart disease remains the greatest killer of African American women, then price is affected by fashion, wool quality, and many other factors. Those that suggest domestic violence is insidious because very often it happens behind closed doors are wrong. If the claim that if the statement, either mental illnesses are more common than cancer or heart disease or firewalls protect services from unauthorized access, does not hold, then the claim that if heart disease remains the greatest killer of African American women, then price is affected by fashion, wool quality, and many other factors is false has no merit, then abortion is a multi-billion dollar industry. Some people mistakenly believe that abortion is a multi-billion dollar industry.
|
We know that either some women have labor pains that are concentrated in their back or moral decisions are similar to the creative decisions of artists in concrete situations.
|
Either one or both of these statements are true: women acquire injuries, or uric acid is basically a purine, and is the most expensive nitrogenous waste product to produce.
|
Uncertain
|
Modus Ponens:
If (Either [2] or [3].), then (Either [0] or [1].).
Either [2] or [3]. [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either [2] or [3].).
If [5], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then (If [6], then [7].). [SC1-3]
If (Not (Either [4] or [5].).), then (Not (If [6], then [7].).). [SC2-3]
Therefore, Either [4] or [5]..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [4] or [5].).), then (If [6], then [7].).).
Not [8].
Therefore, If (Not (Either [4] or [5].).), then (If [6], then [7].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (Either [4] or [5].).), then (Not (If [6], then [7].).).).), then [9].
Not [9].
Therefore, If (Not (Either [4] or [5].).), then (Not (If [6], then [7].).)..
|
{0: 'Some women have labor pains that are concentrated in their back.', 1: 'Moral decisions are similar to the creative decisions of artists in concrete situations.', 2: 'Affordable housing increases property values.', 3: 'Zebras protect themselves from predators by keeping together in the herd.', 4: 'Mental illnesses are more common than cancer or heart disease.', 5: 'Firewalls protect services from unauthorized access.', 6: 'Heart disease remains the greatest killer of African American women.', 7: 'Price is affected by fashion, wool quality, and many other factors.', 8: 'Domestic violence is insidious because very often it happens behind closed doors.', 9: 'Abortion is a multi-billion dollar industry.'}
| 5 |
4,973 |
["Whenever it is true that some people mistakenly believe that either local authorities are responsible for improving housing standards within their own areas or most beetles feed on plant materials, 'most birds has-part claws' is true.", 'The claim that most birds has-part claws has no merit.', "Whenever it is true that some people mistakenly believe that if local authorities are responsible for improving housing standards within their own areas, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils, 'footprints define a line of flight' is true.", 'The claim that footprints define a line of flight does not reflect reality.', "The statement 'birds have chances' can be considered true.", 'It is rational to believe that either most infection is caused by susceptible anaerobic bacteria or some showers stimulate growth.', 'Should it be the case that most infection is caused by susceptible anaerobic bacteria, it follows that if birds have chances, then if most beetles feed on plant materials, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils.', 'Once we know some showers stimulate growth, we also know that if birds have chances, then if most beetles feed on plant materials, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils.']
|
Whenever it is true that some people mistakenly believe that either local authorities are responsible for improving housing standards within their own areas or most beetles feed on plant materials, 'most birds has-part claws' is true. The claim that most birds has-part claws has no merit. Whenever it is true that some people mistakenly believe that if local authorities are responsible for improving housing standards within their own areas, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils, 'footprints define a line of flight' is true. The claim that footprints define a line of flight does not reflect reality. The statement 'birds have chances' can be considered true. It is rational to believe that either most infection is caused by susceptible anaerobic bacteria or some showers stimulate growth. Should it be the case that most infection is caused by susceptible anaerobic bacteria, it follows that if birds have chances, then if most beetles feed on plant materials, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils. Once we know some showers stimulate growth, we also know that if birds have chances, then if most beetles feed on plant materials, then if psychologists are interested in rhythms, and how people vary over time in their responsiveness, then all milk contains bacteria, some of which comes from the air and the utensils.
|
Given that psychologists are interested in rhythms, and how people vary over time in their responsiveness, it can be inferred that all milk contains bacteria, some of which comes from the air and the utensils.
|
When psychologists are interested in rhythms, and how people vary over time in their responsiveness is true, it follows that auras are diseases.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (If [0], then [1].). [SC2-1]
If [3], then (If [0], then [1].). [SC3-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or [3].).), then [5].
Not [5].
Therefore, Either [2] or [3]..
[SC2-1]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [6].
Not [6].
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Modus Ponens:
If [4], then (If [3], then (If [0], then [1].).). [SC1-2]
[4]
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [4], then (If [3], then (If [0], then [1].).).).
If [8], then (If [4], then (If [3], then (If [0], then [1].).).).
Therefore, If [4], then (If [3], then (If [0], then [1].).)..
|
{0: 'Psychologists are interested in rhythms, and how people vary over time in their responsiveness.', 1: 'All milk contains bacteria, some of which comes from the air and the utensils.', 2: 'Local authorities are responsible for improving housing standards within their own areas.', 3: 'Most beetles feed on plant materials.', 4: 'Birds have chances.', 5: 'Most birds has-part claws.', 6: 'Footprints define a line of flight.', 7: 'Most infection is caused by susceptible anaerobic bacteria.', 8: 'Some showers stimulate growth.'}
| 5 |
4,715 |
["Once we know we know that the claim that if the notion that 'sexual assault is a horrific and traumatic crime' is untrue, then vandalism is an iresponsable act is false, we also know that oceans cover more than two-thirds of the earth's surface.", "The statement, oceans cover more than two-thirds of the earth's surface, does not hold.", "Provided that some mothers feed pigeons, we know that if the notion that 'sexual assault is a horrific and traumatic crime' is untrue, then the claim that vandalism is an iresponsable act has no merit.", 'Given that some large icicles cause property damage, it can be inferred that some mothers feed pigeons.', 'Given that bacterial contamination can cause foodborne illness, such as botulism and salmonella poisoning, it can be inferred that some mothers feed pigeons.', 'It is a fact that either concurrent lines are lines that meet in exactly one point or either some large icicles cause property damage or bacterial contamination can cause foodborne illness, such as botulism and salmonella poisoning.', 'The statement, concurrent lines are lines that meet in exactly one point, does not hold.']
|
Once we know we know that the claim that if the notion that 'sexual assault is a horrific and traumatic crime' is untrue, then vandalism is an iresponsable act is false, we also know that oceans cover more than two-thirds of the earth's surface. The statement, oceans cover more than two-thirds of the earth's surface, does not hold. Provided that some mothers feed pigeons, we know that if the notion that 'sexual assault is a horrific and traumatic crime' is untrue, then the claim that vandalism is an iresponsable act has no merit. Given that some large icicles cause property damage, it can be inferred that some mothers feed pigeons. Given that bacterial contamination can cause foodborne illness, such as botulism and salmonella poisoning, it can be inferred that some mothers feed pigeons. It is a fact that either concurrent lines are lines that meet in exactly one point or either some large icicles cause property damage or bacterial contamination can cause foodborne illness, such as botulism and salmonella poisoning. The statement, concurrent lines are lines that meet in exactly one point, does not hold.
|
It is fair to say that sexual assault is a horrific and traumatic crime.
|
Sexual assault is a particularly serious form of sexual misconduct.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then [1].).), then [2].
Not [2].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Not [1].).).
[3] [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then [3].
If [5], then [3].
Therefore, [3].
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].).
Not [6].
Therefore, Either [4] or [5]..
|
{0: 'Sexual assault is a horrific and traumatic crime.', 1: 'Vandalism is an iresponsable act.', 2: "Oceans cover more than two-thirds of the earth's surface.", 3: 'Some mothers feed pigeons.', 4: 'Some large icicles cause property damage.', 5: 'Bacterial contamination can cause foodborne illness, such as botulism and salmonella poisoning.', 6: 'Concurrent lines are lines that meet in exactly one point.'}
| 5 |
4,744 |
['We know that at least one of two things is true: sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated, or raster maps represent data as grid cells.', 'Either one or both of these statements are true: sulfur contributes to chlorophyll production and improves plant response to nitrogen fertilizer, or art is a basic part of human nature.', 'Once we know sulfur contributes to chlorophyll production and improves plant response to nitrogen fertilizer, we also know that either snakes are located in cages or some people mistakenly believe that sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated.', 'When art is a basic part of human nature is true, it follows that either snakes are located in cages or some people mistakenly believe that sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated.', "We know that the claim that proportion is the relationship between a facade's height and width is false.", "So long as it is a common misconception that if snakes are located in cages, then proportion is the relationship between a facade's height and width, 'thick forests grow on the rain-drenched southern slopes of the mountains' is true.", "Assuming it is a common misconception that if snakes are located in cages, then proportion is the relationship between a facade's height and width, we know that the claim that thick forests grow on the rain-drenched southern slopes of the mountains has no merit."]
|
We know that at least one of two things is true: sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated, or raster maps represent data as grid cells. Either one or both of these statements are true: sulfur contributes to chlorophyll production and improves plant response to nitrogen fertilizer, or art is a basic part of human nature. Once we know sulfur contributes to chlorophyll production and improves plant response to nitrogen fertilizer, we also know that either snakes are located in cages or some people mistakenly believe that sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated. When art is a basic part of human nature is true, it follows that either snakes are located in cages or some people mistakenly believe that sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated. We know that the claim that proportion is the relationship between a facade's height and width is false. So long as it is a common misconception that if snakes are located in cages, then proportion is the relationship between a facade's height and width, 'thick forests grow on the rain-drenched southern slopes of the mountains' is true. Assuming it is a common misconception that if snakes are located in cages, then proportion is the relationship between a facade's height and width, we know that the claim that thick forests grow on the rain-drenched southern slopes of the mountains has no merit.
|
The claim that raster maps represent data as grid cells is true.
|
It is not true that raster maps represent data as grid cells.
|
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]
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]
Reductio Ad Absurdum:
If (Not (If [2], then [5].).), then [6].
If (Not (If [2], then [5].).), then (Not [6].).
Therefore, If [2], then [5]..
|
{0: 'Raster maps represent data as grid cells.', 1: 'Sexual reproduction occurs through pollination and most commercial cultivars are self-pollinated.', 2: 'Snakes are located in cages.', 3: 'Sulfur contributes to chlorophyll production and improves plant response to nitrogen fertilizer.', 4: 'Art is a basic part of human nature.', 5: "Proportion is the relationship between a facade's height and width.", 6: 'Thick forests grow on the rain-drenched southern slopes of the mountains.'}
| 5 |
4,195 |
['Given that it is not the case that boolean operators allow for combinations of fields, it can be inferred that if cattle eat foliage, then calorimeters have (part) sections.', 'When if cattle eat foliage, then calorimeters have (part) sections is true, it follows that all lizards are reptiles.', 'Once we know the claim that if it is not the case that boolean operators allow for combinations of fields, then it is not the case that all lizards are reptiles is false, we also know that the claim that either horses drink between eight and twelve gallons of water a day or nitrogen compounds are basic building blocks in animal biology as well is false.', 'On the condition that some primates survive infection, it is definitely the case that either horses drink between eight and twelve gallons of water a day or nitrogen compounds are basic building blocks in animal biology as well.', "Whenever it is true that the claim that if it is not the case that boolean operators allow for combinations of fields, then it is not the case that all lizards are reptiles is false, 'cornerbacks are responsible for covering wide receivers' is true.", 'Provided that cornerbacks are responsible for covering wide receivers, we know that some primates survive infection.']
|
Given that it is not the case that boolean operators allow for combinations of fields, it can be inferred that if cattle eat foliage, then calorimeters have (part) sections. When if cattle eat foliage, then calorimeters have (part) sections is true, it follows that all lizards are reptiles. Once we know the claim that if it is not the case that boolean operators allow for combinations of fields, then it is not the case that all lizards are reptiles is false, we also know that the claim that either horses drink between eight and twelve gallons of water a day or nitrogen compounds are basic building blocks in animal biology as well is false. On the condition that some primates survive infection, it is definitely the case that either horses drink between eight and twelve gallons of water a day or nitrogen compounds are basic building blocks in animal biology as well. Whenever it is true that the claim that if it is not the case that boolean operators allow for combinations of fields, then it is not the case that all lizards are reptiles is false, 'cornerbacks are responsible for covering wide receivers' is true. Provided that cornerbacks are responsible for covering wide receivers, we know that some primates survive infection.
|
Many people rightly believe that boolean operators allow for combinations of fields.
|
The statement that states boolean operators allow for combinations of fields is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then (If [4], then [5].).
If (If [4], then [5].), then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].). [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not (Either [2] or [3].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [6]. [SC1-3]
If [6], then (Either [2] or [3].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (Either [2] or [3].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [7].
If [7], then [6].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [6]..
|
{0: 'Boolean operators allow for combinations of fields.', 1: 'All lizards are reptiles.', 2: 'Horses drink between eight and twelve gallons of water a day.', 3: 'Nitrogen compounds are basic building blocks in animal biology as well.', 4: 'Cattle eat foliage.', 5: 'Calorimeters have (part) sections.', 6: 'Some primates survive infection.', 7: 'Cornerbacks are responsible for covering wide receivers.'}
| 5 |
4,191 |
['There is good reason to believe that either individuals excrete toxic waste or tree kangaroos spend most of their time up in trees.', 'On the condition that tree kangaroos spend most of their time up in trees, it is definitely the case that night is when many of the crabs, giant fruit bats and other animals are out and about.', "Whenever it is true that it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, 'light chains exist in two classes, lambda and kappa' is true.", 'When some people mistakenly believe that if it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, then some people mistakenly believe that light chains exist in two classes, lambda and kappa is true, it follows that lynxs are animals.', 'It is not true that if nematodes can cause misshapen, cracked, and galled roots as well as decreased yields, then dicots are more sturdy, stable plants because the large root serves as an anchor.', 'Provided that it is a common misconception that if some people mistakenly believe that if it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, then some people mistakenly believe that light chains exist in two classes, lambda and kappa, then it is not the case that lynxs are animals, we know that husbands take care.', 'On the condition that husbands take care, it is definitely the case that if nematodes can cause misshapen, cracked, and galled roots as well as decreased yields, then dicots are more sturdy, stable plants because the large root serves as an anchor.']
|
There is good reason to believe that either individuals excrete toxic waste or tree kangaroos spend most of their time up in trees. On the condition that tree kangaroos spend most of their time up in trees, it is definitely the case that night is when many of the crabs, giant fruit bats and other animals are out and about. Whenever it is true that it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, 'light chains exist in two classes, lambda and kappa' is true. When some people mistakenly believe that if it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, then some people mistakenly believe that light chains exist in two classes, lambda and kappa is true, it follows that lynxs are animals. It is not true that if nematodes can cause misshapen, cracked, and galled roots as well as decreased yields, then dicots are more sturdy, stable plants because the large root serves as an anchor. Provided that it is a common misconception that if some people mistakenly believe that if it is a common misconception that if individuals excrete toxic waste, then night is when many of the crabs, giant fruit bats and other animals are out and about, then some people mistakenly believe that light chains exist in two classes, lambda and kappa, then it is not the case that lynxs are animals, we know that husbands take care. On the condition that husbands take care, it is definitely the case that if nematodes can cause misshapen, cracked, and galled roots as well as decreased yields, then dicots are more sturdy, stable plants because the large root serves as an anchor.
|
It is rational to agree that night is when many of the crabs, giant fruit bats and other animals are out and about.
|
It is rational to agree that night is when many of the crabs, giant fruit bats and other animals are out and about.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [3].
If (Not (If [1], then [0].).), then (Not [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then [4].
If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then (Not [4].). [SC2-3]
Therefore, If (Not (If [1], then [0].).), then (Not [3].)..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then (Not [4].).).), then (If [5], then [6].). [SC1-4]
Not (If [5], then [6].).
Therefore, If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then (Not [4].)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then (Not [4].).).), then [7].
If [7], then (If [5], then [6].).
Therefore, If (Not (If (Not (If (Not (If [1], then [0].).), then (Not [3].).).), then (Not [4].).).), then (If [5], then [6].)..
|
{0: 'Night is when many of the crabs, giant fruit bats and other animals are out and about.', 1: 'Individuals excrete toxic waste.', 2: 'Tree kangaroos spend most of their time up in trees.', 3: 'Light chains exist in two classes, lambda and kappa.', 4: 'Lynxs are animals.', 5: 'Nematodes can cause misshapen, cracked, and galled roots as well as decreased yields.', 6: 'Dicots are more sturdy, stable plants because the large root serves as an anchor.', 7: 'Husbands take care.'}
| 5 |
4,628 |
['Either slurry seal can fill small cracks in most pavements, but there are limitations or if reckless operation is defined as any act which endangers life, limb or property, then cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform.', 'Should it be the case that cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform, it follows that military intelligence is information.', 'Given that slurry seal can fill small cracks in most pavements, but there are limitations, it can be inferred that either systems theory is useful for exploring several other sciences, including ecology or ditches especially can be dangerous if ice forms on the top and water is still flowing underneath.', "The statement 'either systems theory is useful for exploring several other sciences, including ecology or ditches especially can be dangerous if ice forms on the top and water is still flowing underneath' can be considered false.", 'Provided that cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform, we know that thanksgiving is the heart of faith, it is the heart of wholeness, and it is the heart of our church.', 'Assuming thanksgiving is the heart of faith, it is the heart of wholeness, and it is the heart of our church, we know that some people mistakenly believe that military intelligence is information.']
|
Either slurry seal can fill small cracks in most pavements, but there are limitations or if reckless operation is defined as any act which endangers life, limb or property, then cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform. Should it be the case that cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform, it follows that military intelligence is information. Given that slurry seal can fill small cracks in most pavements, but there are limitations, it can be inferred that either systems theory is useful for exploring several other sciences, including ecology or ditches especially can be dangerous if ice forms on the top and water is still flowing underneath. The statement 'either systems theory is useful for exploring several other sciences, including ecology or ditches especially can be dangerous if ice forms on the top and water is still flowing underneath' can be considered false. Provided that cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform, we know that thanksgiving is the heart of faith, it is the heart of wholeness, and it is the heart of our church. Assuming thanksgiving is the heart of faith, it is the heart of wholeness, and it is the heart of our church, we know that some people mistakenly believe that military intelligence is information.
|
Those that suggest reckless operation is defined as any act which endangers life, limb or property are wrong.
|
Those that suggest reckless operation is defined as any act which endangers life, limb or property are wrong.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].).
Not [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If [3], then (Either [4] or [5].).
Not (Either [4] or [5].).
Therefore, Not [3]..
[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 [6].
If [6], then (Not [2].).
Therefore, If [1], then (Not [2].)..
|
{0: 'Reckless operation is defined as any act which endangers life, limb or property.', 1: 'Cypress spurge is of Mediterranean-western Europe origin and is more genetically uniform.', 2: 'Military intelligence is information.', 3: 'Slurry seal can fill small cracks in most pavements, but there are limitations.', 4: 'Systems theory is useful for exploring several other sciences, including ecology.', 5: 'Ditches especially can be dangerous if ice forms on the top and water is still flowing underneath.', 6: 'Thanksgiving is the heart of faith, it is the heart of wholeness, and it is the heart of our church.'}
| 5 |
4,536 |
['If small intestines absorb nutrients, then either either entertainment is one of the largest exports from the United States to the rest of the world or raccoons are medium sized omnivorous mammals or many insects spend the majority of their lives in the immature stages of development.', 'It is a simple truth that small intestines absorb nutrients.', 'If either entertainment is one of the largest exports from the United States to the rest of the world or raccoons are medium sized omnivorous mammals, then motivation is the process whereby goal-directed activity is instigated and sustained.', 'On the condition that motivation is the process whereby goal-directed activity is instigated and sustained, it is definitely the case that the claim that city means the City of Urbana has no merit.', 'We know that at least one of two things is true: nuts also contain protein, fiber, vitamins and minerals, including magnesium and potassium, or if leaves are wide but thin to collect the maximum amount of sunlight at minimal metabolic cost, then amortization also creates incentives for banks to restructure loans.', 'When if leaves are wide but thin to collect the maximum amount of sunlight at minimal metabolic cost, then amortization also creates incentives for banks to restructure loans is true, it follows that if many insects spend the majority of their lives in the immature stages of development, then the claim that city means the City of Urbana has no merit.', 'We know that either quartz clocks use the vibrations of a quartz crystal to power the clock or if nuts also contain protein, fiber, vitamins and minerals, including magnesium and potassium, then if many insects spend the majority of their lives in the immature stages of development, then the claim that city means the City of Urbana has no merit.', 'It is not true that quartz clocks use the vibrations of a quartz crystal to power the clock.']
|
If small intestines absorb nutrients, then either either entertainment is one of the largest exports from the United States to the rest of the world or raccoons are medium sized omnivorous mammals or many insects spend the majority of their lives in the immature stages of development. It is a simple truth that small intestines absorb nutrients. If either entertainment is one of the largest exports from the United States to the rest of the world or raccoons are medium sized omnivorous mammals, then motivation is the process whereby goal-directed activity is instigated and sustained. On the condition that motivation is the process whereby goal-directed activity is instigated and sustained, it is definitely the case that the claim that city means the City of Urbana has no merit. We know that at least one of two things is true: nuts also contain protein, fiber, vitamins and minerals, including magnesium and potassium, or if leaves are wide but thin to collect the maximum amount of sunlight at minimal metabolic cost, then amortization also creates incentives for banks to restructure loans. When if leaves are wide but thin to collect the maximum amount of sunlight at minimal metabolic cost, then amortization also creates incentives for banks to restructure loans is true, it follows that if many insects spend the majority of their lives in the immature stages of development, then the claim that city means the City of Urbana has no merit. We know that either quartz clocks use the vibrations of a quartz crystal to power the clock or if nuts also contain protein, fiber, vitamins and minerals, including magnesium and potassium, then if many insects spend the majority of their lives in the immature stages of development, then the claim that city means the City of Urbana has no merit. It is not true that quartz clocks use the vibrations of a quartz crystal to power the clock.
|
The claim that city means the City of Urbana has no merit.
|
The claim that city means the City of Urbana has no merit.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [8], then (Either (Either [1] or [2].) or [3].).
[8]
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Hypothetical Syllogism:
If (Either [1] or [2].), then [4].
If [4], then (Not [0].).
Therefore, If (Either [1] or [2].), then (Not [0].)..
[SC3-1]
Disjunction Elimination:
Either [5] or (If [6], then [7].).
If [5], then (If [3], then (Not [0].).). [SC2-2]
If (If [6], then [7].), then (If [3], then (Not [0].).).
Therefore, If [3], then (Not [0].)..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If [5], then (If [3], then (Not [0].).).).
Not [9].
Therefore, If [5], then (If [3], then (Not [0].).)..
|
{0: 'City means the City of Urbana.', 1: 'Entertainment is one of the largest exports from the United States to the rest of the world.', 2: 'Raccoons are medium sized omnivorous mammals.', 3: 'Many insects spend the majority of their lives in the immature stages of development.', 4: 'Motivation is the process whereby goal-directed activity is instigated and sustained.', 5: 'Nuts also contain protein, fiber, vitamins and minerals, including magnesium and potassium.', 6: 'Leaves are wide but thin to collect the maximum amount of sunlight at minimal metabolic cost.', 7: 'Amortization also creates incentives for banks to restructure loans.', 8: 'Small intestines absorb nutrients.', 9: 'Quartz clocks use the vibrations of a quartz crystal to power the clock.'}
| 5 |
4,880 |
['Given that roses have (part) rose hips, it can be inferred that the statement, human rights involve relationship among individuals, and between individuals and the state, does not hold.', 'It is a common misconception that hollow rocks are tough enough to stand on.', 'Given that the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, it can be inferred that the statement that states older children are more likely than younger children to be foreign born is false.', 'If some people mistakenly believe that if the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, then older children are more likely than younger children to be foreign born, then skirmishers are combatants.', 'Once we know some people mistakenly believe that if the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, then older children are more likely than younger children to be foreign born, we also know that developmental stages occur between the microvilli and are attached to epithelial cells.', "So long as developmental stages occur between the microvilli and are attached to epithelial cells, 'the statement 'skirmishers are combatants' can be considered false' is true."]
|
Given that roses have (part) rose hips, it can be inferred that the statement, human rights involve relationship among individuals, and between individuals and the state, does not hold. It is a common misconception that hollow rocks are tough enough to stand on. Given that the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, it can be inferred that the statement that states older children are more likely than younger children to be foreign born is false. If some people mistakenly believe that if the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, then older children are more likely than younger children to be foreign born, then skirmishers are combatants. Once we know some people mistakenly believe that if the claim that if the claim that if roses have (part) rose hips, then human rights involve relationship among individuals, and between individuals and the state is false, then hollow rocks are tough enough to stand on does not correspond with reality, then older children are more likely than younger children to be foreign born, we also know that developmental stages occur between the microvilli and are attached to epithelial cells. So long as developmental stages occur between the microvilli and are attached to epithelial cells, 'the statement 'skirmishers are combatants' can be considered false' is true.
|
It is a common misconception that roses have (part) rose hips.
|
It is not the case that roses have thorns, but thorns have roses.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-2]
Not [2].
Therefore, If [0], then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [3]. [SC1-3]
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].).
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].).), then [4].
If (Not (If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].).), then (Not [4].). [SC2-4]
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then [3]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].).), then [5].
If [5], then (Not [4].).
Therefore, If (Not (If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].).), then (Not [4].)..
|
{0: 'Roses have (part) rose hips.', 1: 'Human rights involve relationship among individuals, and between individuals and the state.', 2: 'Hollow rocks are tough enough to stand on.', 3: 'Older children are more likely than younger children to be foreign born.', 4: 'Skirmishers are combatants.', 5: 'Developmental stages occur between the microvilli and are attached to epithelial cells.'}
| 5 |
4,164 |
['The statement, most rats walk on paws, does not hold.', 'There is good reason to believe that either oxygen tanks are mobility aids or bacteria are arguably the most successful form of life on Earth.', 'Should it be the case that bacteria are arguably the most successful form of life on Earth, it follows that the claim that bee nesting habits vary greatly does not correspond with reality.', 'One may reasonably assume that if the claim that if oxygen tanks are mobility aids, then deer are native wildlife and are regulated by the Wildlife Code of Missouri is false, then older vampires can endure longer without feeding, but they are like addicts.', 'Provided that the claim that if oxygen tanks are mobility aids, then deer are native wildlife and are regulated by the Wildlife Code of Missouri is false, we know that the claim that older vampires can endure longer without feeding, but they are like addicts does not correspond with reality.', "So long as interpretations yield values, 'if deer are native wildlife and are regulated by the Wildlife Code of Missouri, then most rats walk on paws' is true.", 'The statement that states interpretations yield values is right.']
|
The statement, most rats walk on paws, does not hold. There is good reason to believe that either oxygen tanks are mobility aids or bacteria are arguably the most successful form of life on Earth. Should it be the case that bacteria are arguably the most successful form of life on Earth, it follows that the claim that bee nesting habits vary greatly does not correspond with reality. One may reasonably assume that if the claim that if oxygen tanks are mobility aids, then deer are native wildlife and are regulated by the Wildlife Code of Missouri is false, then older vampires can endure longer without feeding, but they are like addicts. Provided that the claim that if oxygen tanks are mobility aids, then deer are native wildlife and are regulated by the Wildlife Code of Missouri is false, we know that the claim that older vampires can endure longer without feeding, but they are like addicts does not correspond with reality. So long as interpretations yield values, 'if deer are native wildlife and are regulated by the Wildlife Code of Missouri, then most rats walk on paws' is true. The statement that states interpretations yield values is right.
|
The claim that bee nesting habits vary greatly does not correspond with reality.
|
The claim that bee nesting habits vary greatly does not correspond with reality.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then (Not [0].).
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Hypothetical Syllogism:
If [2], then [4]. [SC1-3]
If [4], then [1]. [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [2], then [4].).), then [5].
If (Not (If [2], then [4].).), then (Not [5].).
Therefore, If [2], then [4]..
[SC2-3]
Modus Ponens:
If [6], then (If [4], then [1].).
[6]
Therefore, If [4], then [1]..
|
{0: 'Bee nesting habits vary greatly.', 1: 'Most rats walk on paws.', 2: 'Oxygen tanks are mobility aids.', 3: 'Bacteria are arguably the most successful form of life on Earth.', 4: 'Deer are native wildlife and are regulated by the Wildlife Code of Missouri.', 5: 'Older vampires can endure longer without feeding, but they are like addicts.', 6: 'Interpretations yield values.'}
| 5 |
4,106 |
["Whenever it is true that the claim that if if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then stains are dyes which react with tissue substances and routine stains show the identity of tissues does not correspond with reality, 'skunks are furbearers meaning they can be harvested for their fur' is true.", 'It is not the case that aquifers are layers.', 'If women are more empathetic than men, then some people mistakenly believe that skunks are furbearers meaning they can be harvested for their fur.', 'We can assume that women are more empathetic than men.', 'One may reasonably assume that if the statement, if it is a common misconception that if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then aquifers are layers, does not hold, then whales are the largest animals in the ocean, and in Antarctica.', 'Should it be the case that the statement, if it is a common misconception that if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then aquifers are layers, does not hold, it follows that the claim that whales are the largest animals in the ocean, and in Antarctica does not reflect reality.']
|
Whenever it is true that the claim that if if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then stains are dyes which react with tissue substances and routine stains show the identity of tissues does not correspond with reality, 'skunks are furbearers meaning they can be harvested for their fur' is true. It is not the case that aquifers are layers. If women are more empathetic than men, then some people mistakenly believe that skunks are furbearers meaning they can be harvested for their fur. We can assume that women are more empathetic than men. One may reasonably assume that if the statement, if it is a common misconception that if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then aquifers are layers, does not hold, then whales are the largest animals in the ocean, and in Antarctica. Should it be the case that the statement, if it is a common misconception that if cheetahs have pads, then farm plated vehicles are commercial motor vehicles, then aquifers are layers, does not hold, it follows that the claim that whales are the largest animals in the ocean, and in Antarctica does not reflect reality.
|
We can assume that stains are dyes which react with tissue substances and routine stains show the identity of tissues.
|
Stains can be a problem in pots and pans.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (If [1], then [2].), then [0].).), then [3].
Not [3]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Modus Ponens:
If [6], then (Not [3].).
[6]
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [2].).), then [4]. [SC1-2]
Not [4].
Therefore, If [1], then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [2].).), then [4].).), then [5].
If (Not (If (Not (If [1], then [2].).), then [4].).), then (Not [5].).
Therefore, If (Not (If [1], then [2].).), then [4]..
|
{0: 'Stains are dyes which react with tissue substances and routine stains show the identity of tissues.', 1: 'Cheetahs have pads.', 2: 'Farm plated vehicles are commercial motor vehicles.', 3: 'Skunks are furbearers meaning they can be harvested for their fur.', 4: 'Aquifers are layers.', 5: 'Whales are the largest animals in the ocean, and in Antarctica.', 6: 'Women are more empathetic than men.'}
| 5 |
4,016 |
["The statement that 'women often lack control over their earnings or income' is incorrect.", "Whenever it is true that those that suggest either women often lack control over their earnings or income or some animals are more equal then others are wrong, 'fish are one of very few human foods that are still mainly caught, rather than cultivated' is true.", "Should it be the case that the claim that either kelp snails, with their vivid red foot, live and feed on giant kelp or the statement 'fish are one of very few human foods that are still mainly caught, rather than cultivated' can be considered false has no merit, it follows that safety belts save lives and prevent injuries.", "Should it be the case that the claim that either kelp snails, with their vivid red foot, live and feed on giant kelp or the statement 'fish are one of very few human foods that are still mainly caught, rather than cultivated' can be considered false has no merit, it follows that the claim that safety belts save lives and prevent injuries is false.", 'It is rational to believe that either some hinges are a combination of hinge types or plant sciences are hands-on sciences.', 'Should it be the case that some hinges are a combination of hinge types, it follows that it is not the case that kelp snails, with their vivid red foot, live and feed on giant kelp.', "Whenever it is true that plant sciences are hands-on sciences, 'it is not the case that kelp snails, with their vivid red foot, live and feed on giant kelp' is true."]
|
The statement that 'women often lack control over their earnings or income' is incorrect. Whenever it is true that those that suggest either women often lack control over their earnings or income or some animals are more equal then others are wrong, 'fish are one of very few human foods that are still mainly caught, rather than cultivated' is true. Should it be the case that the claim that either kelp snails, with their vivid red foot, live and feed on giant kelp or the statement 'fish are one of very few human foods that are still mainly caught, rather than cultivated' can be considered false has no merit, it follows that safety belts save lives and prevent injuries. Should it be the case that the claim that either kelp snails, with their vivid red foot, live and feed on giant kelp or the statement 'fish are one of very few human foods that are still mainly caught, rather than cultivated' can be considered false has no merit, it follows that the claim that safety belts save lives and prevent injuries is false. It is rational to believe that either some hinges are a combination of hinge types or plant sciences are hands-on sciences. Should it be the case that some hinges are a combination of hinge types, it follows that it is not the case that kelp snails, with their vivid red foot, live and feed on giant kelp. Whenever it is true that plant sciences are hands-on sciences, 'it is not the case that kelp snails, with their vivid red foot, live and feed on giant kelp' is true.
|
Those that suggest some animals are more equal then others are right.
|
The statement, some animals are more equal then others, does not hold.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [2].).).), then [4].
If (Not (Either [3] or (Not [2].).).), then (Not [4].).
Therefore, Either [3] or (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Some animals are more equal then others.', 1: 'Women often lack control over their earnings or income.', 2: 'Fish are one of very few human foods that are still mainly caught, rather than cultivated.', 3: 'Kelp snails, with their vivid red foot, live and feed on giant kelp.', 4: 'Safety belts save lives and prevent injuries.', 5: 'Some hinges are a combination of hinge types.', 6: 'Plant sciences are hands-on sciences.'}
| 5 |
4,575 |
['One may reasonably assume that if locality isa location, then pastels are logical choices for colors.', 'The claim that rain has (part) snow mist does not reflect reality.', 'It is rational to believe that either if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems or life insurance is often an ideal method of funding a buy-sell agreement.', 'When life insurance is often an ideal method of funding a buy-sell agreement is true, it follows that if the statement, locality isa location, does not hold, then rain has (part) snow mist.', "So long as the statement 'if if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems, then if the statement, locality isa location, does not hold, then rain has (part) snow mist' can be considered false, 'it is not true that maggots eat the cats' is true.", "Either one or both of these statements are true: most men eat diets, or if the statement 'if if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems, then if the statement, locality isa location, does not hold, then rain has (part) snow mist' can be considered false, then maggots eat the cats.", 'The statement that states most men eat diets is false.']
|
One may reasonably assume that if locality isa location, then pastels are logical choices for colors. The claim that rain has (part) snow mist does not reflect reality. It is rational to believe that either if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems or life insurance is often an ideal method of funding a buy-sell agreement. When life insurance is often an ideal method of funding a buy-sell agreement is true, it follows that if the statement, locality isa location, does not hold, then rain has (part) snow mist. So long as the statement 'if if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems, then if the statement, locality isa location, does not hold, then rain has (part) snow mist' can be considered false, 'it is not true that maggots eat the cats' is true. Either one or both of these statements are true: most men eat diets, or if the statement 'if if natural reproduction depends more on seedling survival than on requirements for germination, then pearls are less durable than most gems, then if the statement, locality isa location, does not hold, then rain has (part) snow mist' can be considered false, then maggots eat the cats. The statement that states most men eat diets is false.
|
The claim that pastels are logical choices for colors holds true.
|
Pastels are light color.
|
Uncertain
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (If (Not [1].), then [2].). [SC2-3]
If [5], then (If (Not [1].), then [2].).
Therefore, If (Not [1].), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (If [3], then [4].), then (If (Not [1].), then [2].).).), then [6]. [SC1-4]
If (Not (If (If [3], then [4].), then (If (Not [1].), then [2].).).), then (Not [6].).
Therefore, If (If [3], then [4].), then (If (Not [1].), then [2].)..
[SC1-4]
Disjunctive Syllogism:
Either [7] or (If (Not (If (If [3], then [4].), then (If (Not [1].), then [2].).).), then [6].).
Not [7].
Therefore, If (Not (If (If [3], then [4].), then (If (Not [1].), then [2].).).), then [6]..
|
{0: 'Pastels are logical choices for colors.', 1: 'Locality isa location.', 2: 'Rain has (part) snow mist.', 3: 'Natural reproduction depends more on seedling survival than on requirements for germination.', 4: 'Pearls are less durable than most gems.', 5: 'Life insurance is often an ideal method of funding a buy-sell agreement.', 6: 'Maggots eat the cats.', 7: 'Most men eat diets.'}
| 5 |
4,925 |
['When some people mistakenly believe that either all furred animals produce allergen in urine, saliva and dander or dental Hygienists provide preventive and therapeutic services, and perform dental health counseling is true, it follows that straight lines are lines.', "The statement that 'straight lines are lines' is incorrect.", "The statement 'reinsurance is the fastest growing sector and offers great returns for the insurance industry' can be considered true.", 'Either otters eat food or if dental Hygienists provide preventive and therapeutic services, and perform dental health counseling, then aphids suck out plant sap , turf turns an orange color.', 'The claim that otters eat food does not reflect reality.', 'It is a fact that either heavy snow is possible at the higher elevations of the central Rockies or horns are alarm.', "So long as heavy snow is possible at the higher elevations of the central Rockies, 'if reinsurance is the fastest growing sector and offers great returns for the insurance industry, then if all furred animals produce allergen in urine, saliva and dander, then aphids suck out plant sap , turf turns an orange color' is true.", "So long as horns are alarm, 'if reinsurance is the fastest growing sector and offers great returns for the insurance industry, then if all furred animals produce allergen in urine, saliva and dander, then aphids suck out plant sap , turf turns an orange color' is true."]
|
When some people mistakenly believe that either all furred animals produce allergen in urine, saliva and dander or dental Hygienists provide preventive and therapeutic services, and perform dental health counseling is true, it follows that straight lines are lines. The statement that 'straight lines are lines' is incorrect. The statement 'reinsurance is the fastest growing sector and offers great returns for the insurance industry' can be considered true. Either otters eat food or if dental Hygienists provide preventive and therapeutic services, and perform dental health counseling, then aphids suck out plant sap , turf turns an orange color. The claim that otters eat food does not reflect reality. It is a fact that either heavy snow is possible at the higher elevations of the central Rockies or horns are alarm. So long as heavy snow is possible at the higher elevations of the central Rockies, 'if reinsurance is the fastest growing sector and offers great returns for the insurance industry, then if all furred animals produce allergen in urine, saliva and dander, then aphids suck out plant sap , turf turns an orange color' is true. So long as horns are alarm, 'if reinsurance is the fastest growing sector and offers great returns for the insurance industry, then if all furred animals produce allergen in urine, saliva and dander, then aphids suck out plant sap , turf turns an orange color' is true.
|
The claim that aphids suck out plant sap , turf turns an orange color holds true.
|
The claim that aphids suck out plant sap , turf turns an orange color holds true.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3].
Not [3].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [5], then (If [1], then [0].). [SC1-2]
[5]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [5], then (If [1], then [0].).).
If [7], then (If [5], then (If [1], then [0].).).
Therefore, If [5], then (If [1], then [0].)..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [2], then [0].).
Not [4].
Therefore, If [2], then [0]..
|
{0: 'Aphids suck out plant sap , turf turns an orange color.', 1: 'All furred animals produce allergen in urine, saliva and dander.', 2: 'Dental Hygienists provide preventive and therapeutic services, and perform dental health counseling.', 3: 'Straight lines are lines.', 4: 'Otters eat food.', 5: 'Reinsurance is the fastest growing sector and offers great returns for the insurance industry.', 6: 'Heavy snow is possible at the higher elevations of the central Rockies.', 7: 'Horns are alarm.'}
| 5 |
4,712 |
['Provided that the statement, if insects infest areas, then little toes are toes, does not hold, we know that mammoths range across from Europe to northeast Asia.', 'Either children are twice as likely as adults to live in poverty or buybacks encourage criminals to steal guns.', 'Provided that children are twice as likely as adults to live in poverty, we know that insects infest areas.', 'On the condition that we know that the claim that if the statement, if insects infest areas, then little toes are toes, does not hold, then the claim that mammoths range across from Europe to northeast Asia does not reflect reality is false, it is definitely the case that barbers sometimes have a pole outside, which is red and white in most countries.', 'Should it be the case that we know that the claim that if the statement, if insects infest areas, then little toes are toes, does not hold, then the claim that mammoths range across from Europe to northeast Asia does not reflect reality is false, it follows that the statement, barbers sometimes have a pole outside, which is red and white in most countries, does not hold.', "Whenever it is true that those that suggest if buybacks encourage criminals to steal guns, then insects infest areas are wrong, 'facing are protective covering' is true.", 'Assuming those that suggest if buybacks encourage criminals to steal guns, then insects infest areas are wrong, we know that we know that the claim that facing are protective covering is false.']
|
Provided that the statement, if insects infest areas, then little toes are toes, does not hold, we know that mammoths range across from Europe to northeast Asia. Either children are twice as likely as adults to live in poverty or buybacks encourage criminals to steal guns. Provided that children are twice as likely as adults to live in poverty, we know that insects infest areas. On the condition that we know that the claim that if the statement, if insects infest areas, then little toes are toes, does not hold, then the claim that mammoths range across from Europe to northeast Asia does not reflect reality is false, it is definitely the case that barbers sometimes have a pole outside, which is red and white in most countries. Should it be the case that we know that the claim that if the statement, if insects infest areas, then little toes are toes, does not hold, then the claim that mammoths range across from Europe to northeast Asia does not reflect reality is false, it follows that the statement, barbers sometimes have a pole outside, which is red and white in most countries, does not hold. Whenever it is true that those that suggest if buybacks encourage criminals to steal guns, then insects infest areas are wrong, 'facing are protective covering' is true. Assuming those that suggest if buybacks encourage criminals to steal guns, then insects infest areas are wrong, we know that we know that the claim that facing are protective covering is false.
|
It is reasonable to believe that little toes are toes.
|
The statement, little toes are toes, does not hold.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2].
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then [6].
If (Not (If (Not (If [1], then [0].).), then (Not [2].).).), then (Not [6].).
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1].
If [4], then [1]. [SC3-2]
Therefore, [1].
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [5].
If (Not (If [4], then [1].).), then (Not [5].).
Therefore, If [4], then [1]..
|
{0: 'Little toes are toes.', 1: 'Insects infest areas.', 2: 'Mammoths range across from Europe to northeast Asia.', 3: 'Children are twice as likely as adults to live in poverty.', 4: 'Buybacks encourage criminals to steal guns.', 5: 'Facing are protective covering.', 6: 'Barbers sometimes have a pole outside, which is red and white in most countries.'}
| 5 |
4,540 |
['Either some mallards eat vegetation or if either roots often form at the nodes of the spreading stems or nutrias have (part) breasts, then termites have two pairs of wings that are of almost equal length.', 'It is not the case that some mallards eat vegetation.', "Whenever it is true that weight gain Several trials have reported an association between intensive treatment and weight gain, 'if either most birds have different types or obsession is total attachment, then the claim that termites have two pairs of wings that are of almost equal length has no merit' is true.", 'The idea that weight gain Several trials have reported an association between intensive treatment and weight gain is true.', 'We know that either most multicellular sporophytes produce haploid spores or either sharpshooters feed specifically on the sap found in host xylem tissue or hawaiian volcanoes can erupt either at their summits or on their flanks.', 'Once we know most multicellular sporophytes produce haploid spores, we also know that most birds have different types.', 'If either sharpshooters feed specifically on the sap found in host xylem tissue or hawaiian volcanoes can erupt either at their summits or on their flanks, then obsession is total attachment.']
|
Either some mallards eat vegetation or if either roots often form at the nodes of the spreading stems or nutrias have (part) breasts, then termites have two pairs of wings that are of almost equal length. It is not the case that some mallards eat vegetation. Whenever it is true that weight gain Several trials have reported an association between intensive treatment and weight gain, 'if either most birds have different types or obsession is total attachment, then the claim that termites have two pairs of wings that are of almost equal length has no merit' is true. The idea that weight gain Several trials have reported an association between intensive treatment and weight gain is true. We know that either most multicellular sporophytes produce haploid spores or either sharpshooters feed specifically on the sap found in host xylem tissue or hawaiian volcanoes can erupt either at their summits or on their flanks. Once we know most multicellular sporophytes produce haploid spores, we also know that most birds have different types. If either sharpshooters feed specifically on the sap found in host xylem tissue or hawaiian volcanoes can erupt either at their summits or on their flanks, then obsession is total attachment.
|
The claim that either roots often form at the nodes of the spreading stems or nutrias have (part) breasts is false.
|
We know that the claim that roots are numbers is false.
|
Uncertain
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [5] or (If (Either [0] or [1].), then [2].).
Not [5].
Therefore, If (Either [0] or [1].), then [2]..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (Not [2].). [SC1-2]
Either [3] or [4]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [6], then (If (Either [3] or [4].), then (Not [2].).).
[6]
Therefore, If (Either [3] or [4].), then (Not [2].)..
[SC2-2]
Constructive Dilemma:
Either [7] or (Either [8] or [9].).
If [7], then [3].
If (Either [8] or [9].), then [4].
Therefore, Either [3] or [4]..
|
{0: 'Roots often form at the nodes of the spreading stems.', 1: 'Nutrias have (part) breasts.', 2: 'Termites have two pairs of wings that are of almost equal length.', 3: 'Most birds have different types.', 4: 'Obsession is total attachment.', 5: 'Some mallards eat vegetation.', 6: 'Weight gain Several trials have reported an association between intensive treatment and weight gain.', 7: 'Most multicellular sporophytes produce haploid spores.', 8: 'Sharpshooters feed specifically on the sap found in host xylem tissue.', 9: 'Hawaiian volcanoes can erupt either at their summits or on their flanks.'}
| 5 |
4,329 |
["The notion that 'wildlife uses wetlands in many different ways' is untrue.", 'It is fair to say that cookers have metal.', 'Given that anchors can damage wrecks, and have been known to pull wooden wrecks apart, it can be inferred that if cookers have metal, then if creatine is used for the development of muscle tissue in the body, then wildlife uses wetlands in many different ways.', 'Either one or both of these statements are true: tobacco is only an issue for affluent people and affluent countries, or either foul is violations or anchors can damage wrecks, and have been known to pull wooden wrecks apart.', 'We know that the claim that tobacco is only an issue for affluent people and affluent countries is false.', "Whenever it is true that foul is violations, 'mantids tend to fly more at night than the day to avoid predation' is true.", 'Given that mantids tend to fly more at night than the day to avoid predation, it can be inferred that if cookers have metal, then if creatine is used for the development of muscle tissue in the body, then wildlife uses wetlands in many different ways.']
|
The notion that 'wildlife uses wetlands in many different ways' is untrue. It is fair to say that cookers have metal. Given that anchors can damage wrecks, and have been known to pull wooden wrecks apart, it can be inferred that if cookers have metal, then if creatine is used for the development of muscle tissue in the body, then wildlife uses wetlands in many different ways. Either one or both of these statements are true: tobacco is only an issue for affluent people and affluent countries, or either foul is violations or anchors can damage wrecks, and have been known to pull wooden wrecks apart. We know that the claim that tobacco is only an issue for affluent people and affluent countries is false. Whenever it is true that foul is violations, 'mantids tend to fly more at night than the day to avoid predation' is true. Given that mantids tend to fly more at night than the day to avoid predation, it can be inferred that if cookers have metal, then if creatine is used for the development of muscle tissue in the body, then wildlife uses wetlands in many different ways.
|
The claim that creatine is used for the development of muscle tissue in the body does not correspond with reality.
|
The claim that creatine is used for the development of muscle tissue in the body does not correspond with reality.
|
TRUE
|
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]
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If [2], then (If [0], then [1].).). [SC2-3]
If [4], then (If [2], then (If [0], then [1].).).
Therefore, If [2], then (If [0], then [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6].
Therefore, Either [3] or [4]..
[SC2-3]
Hypothetical Syllogism:
If [3], then [5].
If [5], then (If [2], then (If [0], then [1].).).
Therefore, If [3], then (If [2], then (If [0], then [1].).)..
|
{0: 'Creatine is used for the development of muscle tissue in the body.', 1: 'Wildlife uses wetlands in many different ways.', 2: 'Cookers have metal.', 3: 'Foul is violations.', 4: 'Anchors can damage wrecks, and have been known to pull wooden wrecks apart.', 5: 'Mantids tend to fly more at night than the day to avoid predation.', 6: 'Tobacco is only an issue for affluent people and affluent countries.'}
| 5 |
4,480 |
["Once we know the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, we also know that conversion is the process of growth in the truth but also in the simplicity.", 'Either sea lamprey are parasite fish that fasten themselves to lake trout or most pollution affects life.', "The notion that 'sea lamprey are parasite fish that fasten themselves to lake trout' is untrue.", 'Provided that ghost hunters are the main ones to look for ghost, we know that the statement that states conversion is the process of growth in the truth but also in the simplicity is false.', "When the claim that if the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, then ghost hunters are the main ones to look for ghost does not reflect reality is true, it follows that intense rainfall causes landslide.", "On the condition that the claim that if the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, then ghost hunters are the main ones to look for ghost does not reflect reality, it is definitely the case that we know that the claim that intense rainfall causes landslide is false."]
|
Once we know the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, we also know that conversion is the process of growth in the truth but also in the simplicity. Either sea lamprey are parasite fish that fasten themselves to lake trout or most pollution affects life. The notion that 'sea lamprey are parasite fish that fasten themselves to lake trout' is untrue. Provided that ghost hunters are the main ones to look for ghost, we know that the statement that states conversion is the process of growth in the truth but also in the simplicity is false. When the claim that if the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, then ghost hunters are the main ones to look for ghost does not reflect reality is true, it follows that intense rainfall causes landslide. On the condition that the claim that if the statement 'if most pollution affects life, then the claim that psychological inquiry lies at the heart of the social sciences has no merit' can be considered false, then ghost hunters are the main ones to look for ghost does not reflect reality, it is definitely the case that we know that the claim that intense rainfall causes landslide is false.
|
The claim that psychological inquiry lies at the heart of the social sciences has no merit.
|
The statement that states psychological inquiry lies at the heart of the social sciences is right.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [2].
If (Not (If [1], then (Not [0].).).), then (Not [2].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then [4]. [SC1-3]
If [4], then (Not [2].).
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then [4].).), then [5].
If (Not (If (Not (If [1], then (Not [0].).).), then [4].).), then (Not [5].).
Therefore, If (Not (If [1], then (Not [0].).).), then [4]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [1].
Not [3].
Therefore, [1].
|
{0: 'Psychological inquiry lies at the heart of the social sciences.', 1: 'Most pollution affects life.', 2: 'Conversion is the process of growth in the truth but also in the simplicity.', 3: 'Sea lamprey are parasite fish that fasten themselves to lake trout.', 4: 'Ghost hunters are the main ones to look for ghost.', 5: 'Intense rainfall causes landslide.'}
| 5 |
4,498 |
["Should it be the case that the statement, either treaties are the law of the land under the U.S. Constitution or the statement 'sympathetic nerves release transmitter between smooth muscle and connective tissue layer' can be considered false, does not hold, it follows that the statement that 'steroids have structures' is incorrect.", "It is rational to believe that either toxins cause human illnesses or the statement that 'treaties are the law of the land under the U.S. Constitution' is incorrect.", "Once we know redistribution is pursuant to group rights expressed in something called entitlement , we also know that if the statement, either treaties are the law of the land under the U.S. Constitution or the statement 'sympathetic nerves release transmitter between smooth muscle and connective tissue layer' can be considered false, does not hold, then steroids have structures.", "The statement 'redistribution is pursuant to group rights expressed in something called entitlement ' is true.", 'We know that either ibexs have (part) corpi or the statement, toxins cause human illnesses, does not hold.', 'It is not true that ibexs have (part) corpi.']
|
Should it be the case that the statement, either treaties are the law of the land under the U.S. Constitution or the statement 'sympathetic nerves release transmitter between smooth muscle and connective tissue layer' can be considered false, does not hold, it follows that the statement that 'steroids have structures' is incorrect. It is rational to believe that either toxins cause human illnesses or the statement that 'treaties are the law of the land under the U.S. Constitution' is incorrect. Once we know redistribution is pursuant to group rights expressed in something called entitlement , we also know that if the statement, either treaties are the law of the land under the U.S. Constitution or the statement 'sympathetic nerves release transmitter between smooth muscle and connective tissue layer' can be considered false, does not hold, then steroids have structures. The statement 'redistribution is pursuant to group rights expressed in something called entitlement ' is true. We know that either ibexs have (part) corpi or the statement, toxins cause human illnesses, does not hold. It is not true that ibexs have (part) corpi.
|
The statement 'sympathetic nerves release transmitter between smooth muscle and connective tissue layer' can be considered false.
|
The statement that 'sympathetic nerves serve to stimulate or speed up the heart rate' is incorrect.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (Not [0].).).), then [2]. [SC1-2]
If (Not (Either [1] or (Not [0].).).), then (Not [2].).
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (Either [1] or (Not [0].).).), then [2].).
[5]
Therefore, If (Not (Either [1] or (Not [0].).).), then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].).
Not [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4].
Therefore, Not [3]..
|
{0: 'Sympathetic nerves release transmitter between smooth muscle and connective tissue layer.', 1: 'Treaties are the law of the land under the U.S. Constitution.', 2: 'Steroids have structures.', 3: 'Toxins cause human illnesses.', 4: 'Ibexs have (part) corpi.', 5: 'Redistribution is pursuant to group rights expressed in something called entitlement .'}
| 5 |
4,968 |
['There is good reason to believe that either plants die slowly or if international organizations play an important role in international relations, then aesthetic technology is different from technical or functional design.', "The notion that 'plants die slowly' is untrue.", 'If cooking also destroys enzymes, making beans and grain less digestible, then international organizations play an important role in international relations.', 'If the statement that states either hypnosis involves suggestion or cooking also destroys enzymes, making beans and grain less digestible is false, then angry women are shrews, scolds, nags, and hags.', 'The claim that angry women are shrews, scolds, nags, and hags is false.', 'Once we know hypnosis involves suggestion, we also know that cancers can develop from any normal part of the body.', 'One may reasonably assume that if cancers can develop from any normal part of the body, then international organizations play an important role in international relations.']
|
There is good reason to believe that either plants die slowly or if international organizations play an important role in international relations, then aesthetic technology is different from technical or functional design. The notion that 'plants die slowly' is untrue. If cooking also destroys enzymes, making beans and grain less digestible, then international organizations play an important role in international relations. If the statement that states either hypnosis involves suggestion or cooking also destroys enzymes, making beans and grain less digestible is false, then angry women are shrews, scolds, nags, and hags. The claim that angry women are shrews, scolds, nags, and hags is false. Once we know hypnosis involves suggestion, we also know that cancers can develop from any normal part of the body. One may reasonably assume that if cancers can develop from any normal part of the body, then international organizations play an important role in international relations.
|
We can assume that aesthetic technology is different from technical or functional design.
|
We can assume that aesthetic technology is different from technical or functional design.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].).
Not [2].
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then [1]. [SC2-2]
If [4], then [1].
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [5].
Not [5].
Therefore, Either [3] or [4]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then [1].
Therefore, If [3], then [1]..
|
{0: 'Aesthetic technology is different from technical or functional design.', 1: 'International organizations play an important role in international relations.', 2: 'Plants die slowly.', 3: 'Hypnosis involves suggestion.', 4: 'Cooking also destroys enzymes, making beans and grain less digestible.', 5: 'Angry women are shrews, scolds, nags, and hags.', 6: 'Cancers can develop from any normal part of the body.'}
| 5 |
4,405 |
['The statement, sodium bicarbonate is white, does not hold.', 'It is a fact that either children may have problems or either social change is a cultural as well as political goal or an octroi is a tariff.', 'Given that children may have problems, it can be inferred that bright lights consume a lot of battery power.', 'Should it be the case that either social change is a cultural as well as political goal or an octroi is a tariff, it follows that either sodium bicarbonate is white or beneficence is defined as doing good while avoiding behavior that results in harm.', 'One may reasonably assume that if defender isa individual, then the claim that bright lights consume a lot of battery power has no merit.', "So long as if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'the claim that bright lights consume a lot of battery power has no merit' is true.", "Whenever it is true that it is not true that either defender isa individual or if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'test cases record actual results' is true.", "Whenever it is true that it is not true that either defender isa individual or if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'it is a common misconception that test cases record actual results' is true."]
|
The statement, sodium bicarbonate is white, does not hold. It is a fact that either children may have problems or either social change is a cultural as well as political goal or an octroi is a tariff. Given that children may have problems, it can be inferred that bright lights consume a lot of battery power. Should it be the case that either social change is a cultural as well as political goal or an octroi is a tariff, it follows that either sodium bicarbonate is white or beneficence is defined as doing good while avoiding behavior that results in harm. One may reasonably assume that if defender isa individual, then the claim that bright lights consume a lot of battery power has no merit. So long as if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'the claim that bright lights consume a lot of battery power has no merit' is true. Whenever it is true that it is not true that either defender isa individual or if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'test cases record actual results' is true. Whenever it is true that it is not true that either defender isa individual or if snakes eat meat, in keep mostly mice and rats, then some lice are resistant to commonly used pediculicides, 'it is a common misconception that test cases record actual results' is true.
|
The idea that beneficence is defined as doing good while avoiding behavior that results in harm is true.
|
Some people mistakenly believe that beneficence is defined as doing good while avoiding behavior that results in harm.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [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]
Constructive Dilemma:
Either [3] or (Either [4] or [5].).
If [3], then [2].
If (Either [4] or [5].), then (Either [1] or [0].).
Therefore, Either [2] or (Either [1] or [0].)..
[SC2-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].). [SC1-3]
If [6], then (Not [2].).
If (If [7], then [8].), then (Not [2].).
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (If [7], then [8].).).), then [9].
If (Not (Either [6] or (If [7], then [8].).).), then (Not [9].).
Therefore, Either [6] or (If [7], then [8].)..
|
{0: 'Beneficence is defined as doing good while avoiding behavior that results in harm.', 1: 'Sodium bicarbonate is white.', 2: 'Bright lights consume a lot of battery power.', 3: 'Children may have problems.', 4: 'Social change is a cultural as well as political goal.', 5: 'An octroi is a tariff.', 6: 'Defender isa individual.', 7: 'Snakes eat meat, in keep mostly mice and rats.', 8: 'Some lice are resistant to commonly used pediculicides.', 9: 'Test cases record actual results.'}
| 5 |
4,743 |
['When the claim that if the statement, laceration is the most common type of acute surfing injury, does not hold, then millets are cereals does not correspond with reality is true, it follows that if darkness also provides natural cover, then some enzymes find in raw food.', "One may reasonably assume that if the claim that if the statement, laceration is the most common type of acute surfing injury, does not hold, then millets are cereals does not correspond with reality, then the statement 'if darkness also provides natural cover, then some enzymes find in raw food' can be considered false.", "If either more massive stars use their fuel at a Much Higher Rate or plagiarism is the intentional representation of words, ideas, or work of another as one's own, then if many groups of people are susceptible to abuses of their human rights, then it is not true that millets are cereals.", "We know that either more massive stars use their fuel at a Much Higher Rate or plagiarism is the intentional representation of words, ideas, or work of another as one's own.", 'Either most drought causes wildfires or all lightning produces thunder.', 'One may reasonably assume that if most drought causes wildfires, then many groups of people are susceptible to abuses of their human rights.', 'Once we know all lightning produces thunder, we also know that many groups of people are susceptible to abuses of their human rights.']
|
When the claim that if the statement, laceration is the most common type of acute surfing injury, does not hold, then millets are cereals does not correspond with reality is true, it follows that if darkness also provides natural cover, then some enzymes find in raw food. One may reasonably assume that if the claim that if the statement, laceration is the most common type of acute surfing injury, does not hold, then millets are cereals does not correspond with reality, then the statement 'if darkness also provides natural cover, then some enzymes find in raw food' can be considered false. If either more massive stars use their fuel at a Much Higher Rate or plagiarism is the intentional representation of words, ideas, or work of another as one's own, then if many groups of people are susceptible to abuses of their human rights, then it is not true that millets are cereals. We know that either more massive stars use their fuel at a Much Higher Rate or plagiarism is the intentional representation of words, ideas, or work of another as one's own. Either most drought causes wildfires or all lightning produces thunder. One may reasonably assume that if most drought causes wildfires, then many groups of people are susceptible to abuses of their human rights. Once we know all lightning produces thunder, we also know that many groups of people are susceptible to abuses of their human rights.
|
It is reasonable to believe that laceration is the most common type of acute surfing injury.
|
It is reasonable to believe that laceration is the most common type of acute surfing injury.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then (If [3], then [4].).
If (Not (If (Not [0].), then [1].).), then (Not (If [3], then [4].).).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (Either [5] or [6].), then (If [2], then (Not [1].).).
Either [5] or [6].
Therefore, If [2], then (Not [1].)..
[SC2-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then [2].
If [8], then [2].
Therefore, [2].
|
{0: 'Laceration is the most common type of acute surfing injury.', 1: 'Millets are cereals.', 2: 'Many groups of people are susceptible to abuses of their human rights.', 3: 'Darkness also provides natural cover.', 4: 'Some enzymes find in raw food.', 5: 'More massive stars use their fuel at a Much Higher Rate.', 6: "Plagiarism is the intentional representation of words, ideas, or work of another as one's own.", 7: 'Most drought causes wildfires.', 8: 'All lightning produces thunder.'}
| 5 |
4,093 |
["One may reasonably assume that if oral history is the basis of the people's history, then today there is scientific evidence that music can soothe frayed nerves.", 'On the condition that if man is a transitional animal, then a trigonometric function is a function, it is definitely the case that today there is scientific evidence that music can soothe frayed nerves.', 'Either one or both of these statements are true: spandex is heat sensitive, and the fabric easily gets permanent shiny marks on it, or either churches play traditionally a great role in preserving the national identity of minorities or some milk is stored in the ducts.', 'Those that suggest spandex is heat sensitive, and the fabric easily gets permanent shiny marks on it are wrong.', "Whenever it is true that the notion that 'if churches play traditionally a great role in preserving the national identity of minorities, then oral history is the basis of the people's history' is untrue, 'listeria can contaminate other food through spills in the refrigerator' is true.", "When the notion that 'if churches play traditionally a great role in preserving the national identity of minorities, then oral history is the basis of the people's history' is untrue is true, it follows that some people mistakenly believe that listeria can contaminate other food through spills in the refrigerator.", 'It is rational to believe that either consumer awareness is the key to protecting buyers and producers alike or hamburgers are made of wheat.', 'Should it be the case that consumer awareness is the key to protecting buyers and producers alike, it follows that if some milk is stored in the ducts, then if man is a transitional animal, then a trigonometric function is a function.', 'Assuming hamburgers are made of wheat, we know that if some milk is stored in the ducts, then if man is a transitional animal, then a trigonometric function is a function.']
|
One may reasonably assume that if oral history is the basis of the people's history, then today there is scientific evidence that music can soothe frayed nerves. On the condition that if man is a transitional animal, then a trigonometric function is a function, it is definitely the case that today there is scientific evidence that music can soothe frayed nerves. Either one or both of these statements are true: spandex is heat sensitive, and the fabric easily gets permanent shiny marks on it, or either churches play traditionally a great role in preserving the national identity of minorities or some milk is stored in the ducts. Those that suggest spandex is heat sensitive, and the fabric easily gets permanent shiny marks on it are wrong. Whenever it is true that the notion that 'if churches play traditionally a great role in preserving the national identity of minorities, then oral history is the basis of the people's history' is untrue, 'listeria can contaminate other food through spills in the refrigerator' is true. When the notion that 'if churches play traditionally a great role in preserving the national identity of minorities, then oral history is the basis of the people's history' is untrue is true, it follows that some people mistakenly believe that listeria can contaminate other food through spills in the refrigerator. It is rational to believe that either consumer awareness is the key to protecting buyers and producers alike or hamburgers are made of wheat. Should it be the case that consumer awareness is the key to protecting buyers and producers alike, it follows that if some milk is stored in the ducts, then if man is a transitional animal, then a trigonometric function is a function. Assuming hamburgers are made of wheat, we know that if some milk is stored in the ducts, then if man is a transitional animal, then a trigonometric function is a function.
|
The claim that today there is scientific evidence that music can soothe frayed nerves holds true.
|
Today there are many different types of biochemical weapons.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then [0].
If (If [2], then [3].), then [0].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1]. [SC2-2]
If [5], then (If [2], then [3].). [SC3-2]
Therefore, Either [1] or (If [2], then [3].)..
[SC1-2]
Disjunctive Syllogism:
Either [9] or (Either [4] or [5].).
Not [9].
Therefore, Either [4] or [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then [1].).), then [8].
If (Not (If [4], then [1].).), then (Not [8].).
Therefore, If [4], then [1]..
[SC3-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [5], then (If [2], then [3].).).
If [7], then (If [5], then (If [2], then [3].).).
Therefore, If [5], then (If [2], then [3].)..
|
{0: 'Today there is scientific evidence that music can soothe frayed nerves.', 1: "Oral history is the basis of the people's history.", 2: 'Man is a transitional animal.', 3: 'A trigonometric function is a function.', 4: 'Churches play traditionally a great role in preserving the national identity of minorities.', 5: 'Some milk is stored in the ducts.', 6: 'Consumer awareness is the key to protecting buyers and producers alike.', 7: 'Hamburgers are made of wheat.', 8: 'Listeria can contaminate other food through spills in the refrigerator.', 9: 'Spandex is heat sensitive, and the fabric easily gets permanent shiny marks on it.'}
| 5 |
4,433 |
["Assuming the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, we know that teat dipping with quality products is a major factor in preventing new infections during lactation.", "The statement that 'flags are a symbol of projected power' is incorrect.", "So long as neutrality occurs when members are indifferent, 'if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power' is true.", 'There is good reason to believe that either life is a cycle or new years are years.', "If life is a cycle, then either neutrality occurs when members are indifferent or peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen .", "Assuming new years are years, we know that either neutrality occurs when members are indifferent or peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen .", 'There is good reason to believe that either cop isa guardian or osteoporosis is believed to be caused by several factors.', "If cop isa guardian, then if peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen , then if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power.", "One may reasonably assume that if osteoporosis is believed to be caused by several factors, then if peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen , then if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power."]
|
Assuming the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, we know that teat dipping with quality products is a major factor in preventing new infections during lactation. The statement that 'flags are a symbol of projected power' is incorrect. So long as neutrality occurs when members are indifferent, 'if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power' is true. There is good reason to believe that either life is a cycle or new years are years. If life is a cycle, then either neutrality occurs when members are indifferent or peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen . Assuming new years are years, we know that either neutrality occurs when members are indifferent or peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen . There is good reason to believe that either cop isa guardian or osteoporosis is believed to be caused by several factors. If cop isa guardian, then if peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen , then if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power. One may reasonably assume that if osteoporosis is believed to be caused by several factors, then if peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen , then if the claim that if the notion that 'heat exhaustion is a common response to working in summer weather' is untrue, then the claim that teat dipping with quality products is a major factor in preventing new infections during lactation has no merit does not reflect reality, then flags are a symbol of projected power.
|
It is the case that heat exhaustion is a common response to working in summer weather.
|
The claim that heat exhaustion is a common response to working in summer weather does not reflect reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).
If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].). [SC3-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Either [3] or [4].).
If [8], then (Either [3] or [4].).
Therefore, Either [3] or [4]..
[SC3-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).
If [6], then (If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).
Therefore, If [4], then (If (Not (If (Not [0].), then (Not [1].).).), then [2].)..
|
{0: 'Heat exhaustion is a common response to working in summer weather.', 1: 'Teat dipping with quality products is a major factor in preventing new infections during lactation.', 2: 'Flags are a symbol of projected power.', 3: 'Neutrality occurs when members are indifferent.', 4: "Peritoneal dialysis is when doctors put a plastic tube into the person 's abdomen .", 5: 'Cop isa guardian.', 6: 'Osteoporosis is believed to be caused by several factors.', 7: 'Life is a cycle.', 8: 'New years are years.'}
| 5 |
4,083 |
['Either most kidneys remove harmful substances or either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature.', 'Assuming most kidneys remove harmful substances, we know that either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens.', 'Either one or both of these statements are true: an omega is a letter, or if exchange is the process of life and the process for development of potential, then squirrels can be a problem with feeders.', "So long as if exchange is the process of life and the process for development of potential, then squirrels can be a problem with feeders, 'the statement 'exergonic reactions result in products with less energy than the reactants had' can be considered false' is true.", 'If the claim that if either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature, then either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens has no merit, then some studies show a decrease in body fat in athletes who use creatine.', 'Should it be the case that the claim that if either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature, then either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens has no merit, it follows that the claim that some studies show a decrease in body fat in athletes who use creatine does not reflect reality.', "There is good reason to believe that either herbal teas are excellent for digestive and urinary tract problems or if an omega is a letter, then the statement 'exergonic reactions result in products with less energy than the reactants had' can be considered false.", 'It is a common misconception that herbal teas are excellent for digestive and urinary tract problems.']
|
Either most kidneys remove harmful substances or either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature. Assuming most kidneys remove harmful substances, we know that either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens. Either one or both of these statements are true: an omega is a letter, or if exchange is the process of life and the process for development of potential, then squirrels can be a problem with feeders. So long as if exchange is the process of life and the process for development of potential, then squirrels can be a problem with feeders, 'the statement 'exergonic reactions result in products with less energy than the reactants had' can be considered false' is true. If the claim that if either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature, then either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens has no merit, then some studies show a decrease in body fat in athletes who use creatine. Should it be the case that the claim that if either antihistamines are medicines which help against allergies or ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature, then either exergonic reactions result in products with less energy than the reactants had or it is a common misconception that many people like to grow cactus in pots or gardens has no merit, it follows that the claim that some studies show a decrease in body fat in athletes who use creatine does not reflect reality. There is good reason to believe that either herbal teas are excellent for digestive and urinary tract problems or if an omega is a letter, then the statement 'exergonic reactions result in products with less energy than the reactants had' can be considered false. It is a common misconception that herbal teas are excellent for digestive and urinary tract problems.
|
It is a common misconception that many people like to grow cactus in pots or gardens.
|
It is a common misconception that many people like to grow cactus in pots or gardens.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (Either [1] or (Not [0].).).
If (Either [6] or [7].), then (Either [1] or (Not [0].).). [SC3-2]
Therefore, Either [1] or (Not [0].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [6] or [7].), then (Either [1] or (Not [0].).).).), then [8].
If (Not (If (Either [6] or [7].), then (Either [1] or (Not [0].).).).), then (Not [8].).
Therefore, If (Either [6] or [7].), then (Either [1] or (Not [0].).)..
[SC2-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (Not [1].). [SC2-2]
If (If [3], then [4].), then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (If [2], then (Not [1].).).
Not [9].
Therefore, If [2], then (Not [1].)..
|
{0: 'Many people like to grow cactus in pots or gardens.', 1: 'Exergonic reactions result in products with less energy than the reactants had.', 2: 'An omega is a letter.', 3: 'Exchange is the process of life and the process for development of potential.', 4: 'Squirrels can be a problem with feeders.', 5: 'Most kidneys remove harmful substances.', 6: 'Antihistamines are medicines which help against allergies.', 7: 'Ozone is a molecule of pure oxygen, but in a form that differs from that usually found in nature.', 8: 'Some studies show a decrease in body fat in athletes who use creatine.', 9: 'Herbal teas are excellent for digestive and urinary tract problems.'}
| 5 |
4,843 |
['There is good reason to believe that either most water passes from mouths or blind impulse is the source of war, but it is also the source of science, and art, and love.', 'One may reasonably assume that if pellets dissolve slowly into ground, then kumquats are plants.', 'If pellets dissolve slowly into ground, then it is not true that kumquats are plants.', 'One may reasonably assume that if the statement, if most water passes from mouths, then pellets dissolve slowly into ground, does not hold, then extraocular muscles are full.', 'It is a common misconception that extraocular muscles are full.', "One may reasonably assume that if the statement 'if blind impulse is the source of war, but it is also the source of science, and art, and love, then manatees roam sea' can be considered false, then most financial institutions offer a variety of accounts, some with little or no fees.", "Should it be the case that the statement 'if blind impulse is the source of war, but it is also the source of science, and art, and love, then manatees roam sea' can be considered false, it follows that the statement, most financial institutions offer a variety of accounts, some with little or no fees, does not hold."]
|
There is good reason to believe that either most water passes from mouths or blind impulse is the source of war, but it is also the source of science, and art, and love. One may reasonably assume that if pellets dissolve slowly into ground, then kumquats are plants. If pellets dissolve slowly into ground, then it is not true that kumquats are plants. One may reasonably assume that if the statement, if most water passes from mouths, then pellets dissolve slowly into ground, does not hold, then extraocular muscles are full. It is a common misconception that extraocular muscles are full. One may reasonably assume that if the statement 'if blind impulse is the source of war, but it is also the source of science, and art, and love, then manatees roam sea' can be considered false, then most financial institutions offer a variety of accounts, some with little or no fees. Should it be the case that the statement 'if blind impulse is the source of war, but it is also the source of science, and art, and love, then manatees roam sea' can be considered false, it follows that the statement, most financial institutions offer a variety of accounts, some with little or no fees, does not hold.
|
It is fair to say that manatees roam sea.
|
Manatees are marine mammals.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1]. [SC2-2]
If [4], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then [1].).), then [5].
Not [5].
Therefore, If [3], then [1]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then [0].).), then [6].
If (Not (If [4], then [0].).), then (Not [6].).
Therefore, If [4], then [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].).
Therefore, Not [1]..
|
{0: 'Manatees roam sea.', 1: 'Pellets dissolve slowly into ground.', 2: 'Kumquats are plants.', 3: 'Most water passes from mouths.', 4: 'Blind impulse is the source of war, but it is also the source of science, and art, and love.', 5: 'Extraocular muscles are full.', 6: 'Most financial institutions offer a variety of accounts, some with little or no fees.'}
| 5 |
4,914 |
["The statement 'action games involve hand and eye skill under time pressure, strategy and problem solving' can be considered true.", 'If action games involve hand and eye skill under time pressure, strategy and problem solving, then human activities destroy habitats.', 'It is not true that poverty binds people.', "Whenever it is true that mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals, 'poverty binds people' is true.", 'We know that either either wolves kill animals or sheep are also figurative of believers who follow the shepherd or crib building takes place during the winter when the ice is thick enough to support the cribs.', "Whenever it is true that either wolves kill animals or sheep are also figurative of believers who follow the shepherd, 'if the claim that if human activities destroy habitats, then flagpoles have (part) eyepieces has no merit, then mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals' is true.", "So long as crib building takes place during the winter when the ice is thick enough to support the cribs, 'if the claim that if human activities destroy habitats, then flagpoles have (part) eyepieces has no merit, then mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals' is true."]
|
The statement 'action games involve hand and eye skill under time pressure, strategy and problem solving' can be considered true. If action games involve hand and eye skill under time pressure, strategy and problem solving, then human activities destroy habitats. It is not true that poverty binds people. Whenever it is true that mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals, 'poverty binds people' is true. We know that either either wolves kill animals or sheep are also figurative of believers who follow the shepherd or crib building takes place during the winter when the ice is thick enough to support the cribs. Whenever it is true that either wolves kill animals or sheep are also figurative of believers who follow the shepherd, 'if the claim that if human activities destroy habitats, then flagpoles have (part) eyepieces has no merit, then mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals' is true. So long as crib building takes place during the winter when the ice is thick enough to support the cribs, 'if the claim that if human activities destroy habitats, then flagpoles have (part) eyepieces has no merit, then mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals' is true.
|
It is true that flagpoles have (part) eyepieces.
|
The claim that flagpoles have (part) eyepieces does not correspond with reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2].
If [2], then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [0].).), then [3]. [SC1-3]
Not [3].
Therefore, If [2], then [0]..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [2], then [0].).), then [4]. [SC1-4]
If [4], then [3].
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-4]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If (Not (If [2], then [0].).), then [4].).
If [7], then (If (Not (If [2], then [0].).), then [4].).
Therefore, If (Not (If [2], then [0].).), then [4]..
|
{0: 'Flagpoles have (part) eyepieces.', 1: 'Action games involve hand and eye skill under time pressure, strategy and problem solving.', 2: 'Human activities destroy habitats.', 3: 'Poverty binds people.', 4: 'Mosquitoes can only spread the virus after they feed on infected birds, then bite people or animals.', 5: 'Wolves kill animals.', 6: 'Sheep are also figurative of believers who follow the shepherd.', 7: 'Crib building takes place during the winter when the ice is thick enough to support the cribs.'}
| 5 |
4,657 |
['Once we know college is different when it comes to people, we also know that cultural artefacts are sites of struggle where battles over value and meaning are fought.', 'Provided that cultural artefacts are sites of struggle where battles over value and meaning are fought, we know that if back pain is considered chronic when it has lasted more than three months, then security is a critical sector in which donors can make a difference.', "So long as most people buy homes to have control over where they live, 'college is different when it comes to people' is true.", "So long as the claim that either most people buy homes to have control over where they live or critical literacies involve interpreting, critiquing, evaluating, and synthesizing is false, 'bottles are vessels' is true.", 'The claim that bottles are vessels is false.', 'Provided that those that suggest if critical literacies involve interpreting, critiquing, evaluating, and synthesizing, then college is different when it comes to people are wrong, we know that lines are the foundation of shape and form.', 'Given that those that suggest if critical literacies involve interpreting, critiquing, evaluating, and synthesizing, then college is different when it comes to people are wrong, it can be inferred that the claim that lines are the foundation of shape and form does not correspond with reality.']
|
Once we know college is different when it comes to people, we also know that cultural artefacts are sites of struggle where battles over value and meaning are fought. Provided that cultural artefacts are sites of struggle where battles over value and meaning are fought, we know that if back pain is considered chronic when it has lasted more than three months, then security is a critical sector in which donors can make a difference. So long as most people buy homes to have control over where they live, 'college is different when it comes to people' is true. So long as the claim that either most people buy homes to have control over where they live or critical literacies involve interpreting, critiquing, evaluating, and synthesizing is false, 'bottles are vessels' is true. The claim that bottles are vessels is false. Provided that those that suggest if critical literacies involve interpreting, critiquing, evaluating, and synthesizing, then college is different when it comes to people are wrong, we know that lines are the foundation of shape and form. Given that those that suggest if critical literacies involve interpreting, critiquing, evaluating, and synthesizing, then college is different when it comes to people are wrong, it can be inferred that the claim that lines are the foundation of shape and form does not correspond with reality.
|
When back pain is considered chronic when it has lasted more than three months is true, it follows that security is a critical sector in which donors can make a difference.
|
When back pain is considered chronic when it has lasted more than three months is true, it follows that security is a critical sector in which donors can make a difference.
|
TRUE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If [2], then [3].
If [3], then (If [0], then [1].).
Therefore, If [2], then (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then [2].
If [5], then [2]. [SC3-2]
Therefore, [2].
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then [7].
Not [7].
Therefore, Either [4] or [5]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [5], then [2].).), then [6].
If (Not (If [5], then [2].).), then (Not [6].).
Therefore, If [5], then [2]..
|
{0: 'Back pain is considered chronic when it has lasted more than three months.', 1: 'Security is a critical sector in which donors can make a difference.', 2: 'College is different when it comes to people.', 3: 'Cultural artefacts are sites of struggle where battles over value and meaning are fought.', 4: 'Most people buy homes to have control over where they live.', 5: 'Critical literacies involve interpreting, critiquing, evaluating, and synthesizing.', 6: 'Lines are the foundation of shape and form.', 7: 'Bottles are vessels.'}
| 5 |
4,414 |
['We know that at least one of two things is true: economic development has limitations, or if industrial parks reduce pollution, then machine code is binary digits.', 'It is a fact that either fuzzy handover uses a fuzzy controller to perform handover decisions or artist isa individual.', 'Once we know fuzzy handover uses a fuzzy controller to perform handover decisions, we also know that if economic development has limitations, then some bacteria inhabit intestines.', 'One may reasonably assume that if artist isa individual, then if economic development has limitations, then some bacteria inhabit intestines.', "Whenever it is true that attacks result in injuries, 'some bacteria inhabit intestines' is true.", "So long as fertility rates decrease with advancing age, 'attacks result in injuries' is true.", 'On the condition that heart sounds, heart murmurs, and breath sounds for improving physical diagnosis skills, it is definitely the case that if if industrial parks reduce pollution, then machine code is binary digits, then fertility rates decrease with advancing age.', 'heart sounds, heart murmurs, and breath sounds for improving physical diagnosis skills.']
|
We know that at least one of two things is true: economic development has limitations, or if industrial parks reduce pollution, then machine code is binary digits. It is a fact that either fuzzy handover uses a fuzzy controller to perform handover decisions or artist isa individual. Once we know fuzzy handover uses a fuzzy controller to perform handover decisions, we also know that if economic development has limitations, then some bacteria inhabit intestines. One may reasonably assume that if artist isa individual, then if economic development has limitations, then some bacteria inhabit intestines. Whenever it is true that attacks result in injuries, 'some bacteria inhabit intestines' is true. So long as fertility rates decrease with advancing age, 'attacks result in injuries' is true. On the condition that heart sounds, heart murmurs, and breath sounds for improving physical diagnosis skills, it is definitely the case that if if industrial parks reduce pollution, then machine code is binary digits, then fertility rates decrease with advancing age. heart sounds, heart murmurs, and breath sounds for improving physical diagnosis skills.
|
The statement that states some bacteria inhabit intestines is right.
|
Some bacteria perform function decomposition.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then [0]. [SC2-1]
If (If [2], then [3].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [1], then [0].).
If [5], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [6]. [SC1-2]
If [6], then [0].
Therefore, If (If [2], then [3].), then [0]..
[SC1-2]
Hypothetical Syllogism:
If (If [2], then [3].), then [7]. [SC1-3]
If [7], then [6].
Therefore, If (If [2], then [3].), then [6]..
[SC1-3]
Modus Ponens:
If [8], then (If (If [2], then [3].), then [7].).
[8]
Therefore, If (If [2], then [3].), then [7]..
|
{0: 'Some bacteria inhabit intestines.', 1: 'Economic development has limitations.', 2: 'Industrial parks reduce pollution.', 3: 'Machine code is binary digits.', 4: 'Fuzzy handover uses a fuzzy controller to perform handover decisions.', 5: 'Artist isa individual.', 6: 'Attacks result in injuries.', 7: 'Fertility rates decrease with advancing age.', 8: 'Heart sounds, heart murmurs, and breath sounds for improving physical diagnosis skills.'}
| 5 |
4,662 |
["So long as the statement that 'either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons' is incorrect, 'cleaning sneezings' is true.", 'If cleaning sneezings, then fronds remain rhizomes.', "When if water collects in fissure, then stags eat little or nothing during the rutting season, and lose weight rapidly is true, it follows that if psychology Today explores the emotional, phsycial and spiritual aspects of daily life, then if the statement that 'either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons' is incorrect, then the claim that fronds remain rhizomes does not correspond with reality.", 'Given that water collects in fissure, it can be inferred that stags eat little or nothing during the rutting season, and lose weight rapidly.', 'Either if riparian vegetation represents a transition zone between the stream and the land, then old women suffer damage or psychology Today explores the emotional, phsycial and spiritual aspects of daily life.', 'The claim that if riparian vegetation represents a transition zone between the stream and the land, then old women suffer damage does not correspond with reality.']
|
So long as the statement that 'either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons' is incorrect, 'cleaning sneezings' is true. If cleaning sneezings, then fronds remain rhizomes. When if water collects in fissure, then stags eat little or nothing during the rutting season, and lose weight rapidly is true, it follows that if psychology Today explores the emotional, phsycial and spiritual aspects of daily life, then if the statement that 'either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons' is incorrect, then the claim that fronds remain rhizomes does not correspond with reality. Given that water collects in fissure, it can be inferred that stags eat little or nothing during the rutting season, and lose weight rapidly. Either if riparian vegetation represents a transition zone between the stream and the land, then old women suffer damage or psychology Today explores the emotional, phsycial and spiritual aspects of daily life. The claim that if riparian vegetation represents a transition zone between the stream and the land, then old women suffer damage does not correspond with reality.
|
Either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons.
|
The claim that either behavior relates to temperature or dendrites extend from the cell body and send nerve impulses to other neurons does not correspond with reality.
|
FALSE
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (Either [0] or [1].).), then [3].
If [3], then [2].
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-1]
Modus Ponens:
If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).). [SC1-2]
[4] [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
[SC1-2]
Modus Ponens:
If (If [5], then [6].), then (If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).).).
If [5], then [6].
Therefore, If [4], then (If (Not (Either [0] or [1].).), then (Not [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or [4].
Not (If [7], then [8].).
Therefore, [4].
|
{0: 'Behavior relates to temperature.', 1: 'Dendrites extend from the cell body and send nerve impulses to other neurons.', 2: 'Fronds remain rhizomes.', 3: 'Cleaning sneezings.', 4: 'Psychology Today explores the emotional, phsycial and spiritual aspects of daily life.', 5: 'Water collects in fissure.', 6: 'Stags eat little or nothing during the rutting season, and lose weight rapidly.', 7: 'Riparian vegetation represents a transition zone between the stream and the land.', 8: 'Old women suffer damage.'}
| 5 |
4,978 |
['On the condition that religion is a reliable source of happiness, true, it is definitely the case that home ownership means economic power.', "So long as the statement that 'manatees have a nictitating membrane which can be drawn across the eyeball for protection' is incorrect, 'breeding can happen year-round, but is based mainly on times of food abundance' is true.", 'Should it be the case that breeding can happen year-round, but is based mainly on times of food abundance, it follows that it is not the case that home ownership means economic power.', "So long as the statement 'if the statement that 'manatees have a nictitating membrane which can be drawn across the eyeball for protection' is incorrect, then religion is a reliable source of happiness, true' can be considered false, 'cats mark the locations where they live or which they frequent in many ways' is true.", 'Should it be the case that cats mark the locations where they live or which they frequent in many ways, it follows that experimentation is common to many scientific fields.', 'Provided that cats mark the locations where they live or which they frequent in many ways, we know that the statement that states experimentation is common to many scientific fields is false.']
|
On the condition that religion is a reliable source of happiness, true, it is definitely the case that home ownership means economic power. So long as the statement that 'manatees have a nictitating membrane which can be drawn across the eyeball for protection' is incorrect, 'breeding can happen year-round, but is based mainly on times of food abundance' is true. Should it be the case that breeding can happen year-round, but is based mainly on times of food abundance, it follows that it is not the case that home ownership means economic power. So long as the statement 'if the statement that 'manatees have a nictitating membrane which can be drawn across the eyeball for protection' is incorrect, then religion is a reliable source of happiness, true' can be considered false, 'cats mark the locations where they live or which they frequent in many ways' is true. Should it be the case that cats mark the locations where they live or which they frequent in many ways, it follows that experimentation is common to many scientific fields. Provided that cats mark the locations where they live or which they frequent in many ways, we know that the statement that states experimentation is common to many scientific fields is false.
|
It is the case that manatees have a nictitating membrane which can be drawn across the eyeball for protection.
|
Manatees are a migrant species.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [2].).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [3].
If [3], then (Not [1].).
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Manatees have a nictitating membrane which can be drawn across the eyeball for protection.', 1: 'Home ownership means economic power.', 2: 'Religion is a reliable source of happiness, true.', 3: 'Breeding can happen year-round, but is based mainly on times of food abundance.', 4: 'Cats mark the locations where they live or which they frequent in many ways.', 5: 'Experimentation is common to many scientific fields.'}
| 5 |
4,771 |
['It is a fact that either unborn children are by definition human beings from the point of conception onward or either healers play an important role in health care or companies will have countless opportunity.', 'There is good reason to believe that either either botulinum toxin is deadly because it causes progressive paralysis throughout the body or many States regulate additional air toxic air pollutants or either benchs are companies or seeds need moisture.', 'Provided that either botulinum toxin is deadly because it causes progressive paralysis throughout the body or many States regulate additional air toxic air pollutants, we know that if unborn children are by definition human beings from the point of conception onward, then audio compression uses a number of different compression algorithms.', 'If either benchs are companies or seeds need moisture, then if unborn children are by definition human beings from the point of conception onward, then audio compression uses a number of different compression algorithms.', 'Once we know either most birds prefer food or an applicant is a person, we also know that audio compression uses a number of different compression algorithms.', 'Assuming information management is used as a tool for the ultimate evil, as well as for a resplendent good, we know that either most birds prefer food or an applicant is a person.', 'Either mammograms use low doses of x-rays to detect breast cancer or if either healers play an important role in health care or companies will have countless opportunity, then information management is used as a tool for the ultimate evil, as well as for a resplendent good.', 'The claim that mammograms use low doses of x-rays to detect breast cancer does not reflect reality.']
|
It is a fact that either unborn children are by definition human beings from the point of conception onward or either healers play an important role in health care or companies will have countless opportunity. There is good reason to believe that either either botulinum toxin is deadly because it causes progressive paralysis throughout the body or many States regulate additional air toxic air pollutants or either benchs are companies or seeds need moisture. Provided that either botulinum toxin is deadly because it causes progressive paralysis throughout the body or many States regulate additional air toxic air pollutants, we know that if unborn children are by definition human beings from the point of conception onward, then audio compression uses a number of different compression algorithms. If either benchs are companies or seeds need moisture, then if unborn children are by definition human beings from the point of conception onward, then audio compression uses a number of different compression algorithms. Once we know either most birds prefer food or an applicant is a person, we also know that audio compression uses a number of different compression algorithms. Assuming information management is used as a tool for the ultimate evil, as well as for a resplendent good, we know that either most birds prefer food or an applicant is a person. Either mammograms use low doses of x-rays to detect breast cancer or if either healers play an important role in health care or companies will have countless opportunity, then information management is used as a tool for the ultimate evil, as well as for a resplendent good. The claim that mammograms use low doses of x-rays to detect breast cancer does not reflect reality.
|
The claim that audio compression uses a number of different compression algorithms is true.
|
It is not true that audio compression uses a number of different compression algorithms.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].).
If [1], then [0]. [SC2-1]
If (Either [2] or [3].), then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either (Either [6] or [7].) or (Either [8] or [9].).
If (Either [6] or [7].), then (If [1], then [0].).
If (Either [8] or [9].), then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC3-1]
Hypothetical Syllogism:
If (Either [2] or [3].), then (Either [4] or [5].). [SC1-2]
If (Either [4] or [5].), then [0].
Therefore, If (Either [2] or [3].), then [0]..
[SC1-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [10]. [SC1-3]
If [10], then (Either [4] or [5].).
Therefore, If (Either [2] or [3].), then (Either [4] or [5].)..
[SC1-3]
Disjunctive Syllogism:
Either [11] or (If (Either [2] or [3].), then [10].).
Not [11].
Therefore, If (Either [2] or [3].), then [10]..
|
{0: 'Audio compression uses a number of different compression algorithms.', 1: 'Unborn children are by definition human beings from the point of conception onward.', 2: 'Healers play an important role in health care.', 3: 'Companies will have countless opportunity.', 4: 'Most birds prefer food.', 5: 'An applicant is a person.', 6: 'Botulinum toxin is deadly because it causes progressive paralysis throughout the body.', 7: 'Many States regulate additional air toxic air pollutants.', 8: 'Benchs are companies.', 9: 'Seeds need moisture.', 10: 'Information management is used as a tool for the ultimate evil, as well as for a resplendent good.', 11: 'Mammograms use low doses of x-rays to detect breast cancer.'}
| 5 |
4,728 |
['There is good reason to believe that either water Fountains Cut off the top of a plastic soda bottle or plant cells can stick the wrong carbohydrates onto a human antibody.', 'One may reasonably assume that if water Fountains Cut off the top of a plastic soda bottle, then broccolis help prevent diseases.', 'Assuming broccolis help prevent diseases, we know that the statement that states if sand is very abrasive and can irritate a dogs feet, especially between the toes, then musk oxen are big and strong is false.', 'We know that either distant vision is especially important in avoiding mid-air collisions or if plant cells can stick the wrong carbohydrates onto a human antibody, then the statement that states if sand is very abrasive and can irritate a dogs feet, especially between the toes, then musk oxen are big and strong is false.', 'Those that suggest some zeolites have one or more RUMs for each wave vector are wrong.', 'There is good reason to believe that either if nails follow the same colours as the eye shadows and lips, then olive oils vary from year to year depending on the climate, region, and the type of olives used or either some zeolites have one or more RUMs for each wave vector or the claim that distant vision is especially important in avoiding mid-air collisions is false.', 'The claim that if nails follow the same colours as the eye shadows and lips, then olive oils vary from year to year depending on the climate, region, and the type of olives used has no merit.']
|
There is good reason to believe that either water Fountains Cut off the top of a plastic soda bottle or plant cells can stick the wrong carbohydrates onto a human antibody. One may reasonably assume that if water Fountains Cut off the top of a plastic soda bottle, then broccolis help prevent diseases. Assuming broccolis help prevent diseases, we know that the statement that states if sand is very abrasive and can irritate a dogs feet, especially between the toes, then musk oxen are big and strong is false. We know that either distant vision is especially important in avoiding mid-air collisions or if plant cells can stick the wrong carbohydrates onto a human antibody, then the statement that states if sand is very abrasive and can irritate a dogs feet, especially between the toes, then musk oxen are big and strong is false. Those that suggest some zeolites have one or more RUMs for each wave vector are wrong. There is good reason to believe that either if nails follow the same colours as the eye shadows and lips, then olive oils vary from year to year depending on the climate, region, and the type of olives used or either some zeolites have one or more RUMs for each wave vector or the claim that distant vision is especially important in avoiding mid-air collisions is false. The claim that if nails follow the same colours as the eye shadows and lips, then olive oils vary from year to year depending on the climate, region, and the type of olives used has no merit.
|
The statement that states if sand is very abrasive and can irritate a dogs feet, especially between the toes, then musk oxen are big and strong is false.
|
Those that suggest some sand has different thermal conductivity are wrong.
|
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].).). [SC3-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then (Not (If [0], then [1].).).
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC3-1]
Disjunctive Syllogism:
Either [5] or (If [3], then (Not (If [0], then [1].).).).
Not [5]. [SC2-2]
Therefore, If [3], then (Not (If [0], then [1].).)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or (Not [5].). [SC1-3]
Not [6].
Therefore, Not [5]..
[SC1-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Either [6] or (Not [5].).).
Not (If [7], then [8].).
Therefore, Either [6] or (Not [5].)..
|
{0: 'Sand is very abrasive and can irritate a dogs feet, especially between the toes.', 1: 'Musk oxen are big and strong.', 2: 'Water Fountains Cut off the top of a plastic soda bottle.', 3: 'Plant cells can stick the wrong carbohydrates onto a human antibody.', 4: 'Broccolis help prevent diseases.', 5: 'Distant vision is especially important in avoiding mid-air collisions.', 6: 'Some zeolites have one or more RUMs for each wave vector.', 7: 'Nails follow the same colours as the eye shadows and lips.', 8: 'Olive oils vary from year to year depending on the climate, region, and the type of olives used.'}
| 5 |
4,911 |
['Provided that the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, we know that helper cells help the immune system to function normally and fight off certain kinds of infections.', 'Provided that jerseys have (part) bands, we know that dualism is the belief that there are separate physical and non-physical aspects of reality.', 'The claim that dualism is the belief that there are separate physical and non-physical aspects of reality does not correspond with reality.', 'Once we know the statement that states if the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, then the claim that helper cells help the immune system to function normally and fight off certain kinds of infections does not reflect reality is false, we also know that some people mistakenly believe that performance measurement is a type of evaluation that is used in many industries.', 'One may reasonably assume that if life skills are the long-range benefits youth gain from participation, then if the statement that states if the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, then the claim that helper cells help the immune system to function normally and fight off certain kinds of infections does not reflect reality is false, then performance measurement is a type of evaluation that is used in many industries.', 'Those that suggest life skills are the long-range benefits youth gain from participation are right.']
|
Provided that the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, we know that helper cells help the immune system to function normally and fight off certain kinds of infections. Provided that jerseys have (part) bands, we know that dualism is the belief that there are separate physical and non-physical aspects of reality. The claim that dualism is the belief that there are separate physical and non-physical aspects of reality does not correspond with reality. Once we know the statement that states if the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, then the claim that helper cells help the immune system to function normally and fight off certain kinds of infections does not reflect reality is false, we also know that some people mistakenly believe that performance measurement is a type of evaluation that is used in many industries. One may reasonably assume that if life skills are the long-range benefits youth gain from participation, then if the statement that states if the claim that either jerseys have (part) bands or alcoholism is impulsive behavior does not correspond with reality, then the claim that helper cells help the immune system to function normally and fight off certain kinds of infections does not reflect reality is false, then performance measurement is a type of evaluation that is used in many industries. Those that suggest life skills are the long-range benefits youth gain from participation are right.
|
alcoholism is impulsive behavior.
|
Alcoholism is a disease of isolation, so healing together offers the best results.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [3].
If (Not (Either [1] or [0].).), then (Not [3].). [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4]. [SC1-3]
If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then (Not [4].).
Therefore, If (Not (Either [1] or [0].).), then (Not [3].)..
[SC1-3]
Modus Ponens:
If [5], then (If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4].).
[5]
Therefore, If (Not (If (Not (Either [1] or [0].).), then (Not [3].).).), then [4]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2].
Therefore, Not [1]..
|
{0: 'Alcoholism is impulsive behavior.', 1: 'Jerseys have (part) bands.', 2: 'Dualism is the belief that there are separate physical and non-physical aspects of reality.', 3: 'Helper cells help the immune system to function normally and fight off certain kinds of infections.', 4: 'Performance measurement is a type of evaluation that is used in many industries.', 5: 'Life skills are the long-range benefits youth gain from participation.'}
| 5 |
4,807 |
['Either one or both of these statements are true: people often have unrealistic expectations about breastfeeding, or the claim that headmasters have (part) cytoplasm does not correspond with reality.', "The statement that 'people often have unrealistic expectations about breastfeeding' is incorrect.", 'One may reasonably assume that if either most animals have long periods or hepatic adenoma is an unusual complication of pregnancy, then either most bats seek fruit or if the claim that edges are sides does not correspond with reality, then headmasters have (part) cytoplasm.', 'At least one of two things is true: most animals have long periods, or hepatic adenoma is an unusual complication of pregnancy.', 'On the condition that most bats seek fruit, it is definitely the case that electronegativity follows same trend as ionization energy.', "The statement 'electronegativity follows same trend as ionization energy' can be considered false."]
|
Either one or both of these statements are true: people often have unrealistic expectations about breastfeeding, or the claim that headmasters have (part) cytoplasm does not correspond with reality. The statement that 'people often have unrealistic expectations about breastfeeding' is incorrect. One may reasonably assume that if either most animals have long periods or hepatic adenoma is an unusual complication of pregnancy, then either most bats seek fruit or if the claim that edges are sides does not correspond with reality, then headmasters have (part) cytoplasm. At least one of two things is true: most animals have long periods, or hepatic adenoma is an unusual complication of pregnancy. On the condition that most bats seek fruit, it is definitely the case that electronegativity follows same trend as ionization energy. The statement 'electronegativity follows same trend as ionization energy' can be considered false.
|
The statement 'edges are sides' can be considered true.
|
The claim that edges are sides does not reflect reality.
|
FALSE
|
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]
Modus Ponens:
If (Either [4] or [5].), then (Either [2] or (If (Not [0].), then [1].).).
Either [4] or [5].
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-2]
Modus Tonens:
If [2], then [6].
Not [6].
Therefore, Not [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].).
Not [3].
Therefore, Not [1]..
|
{0: 'Edges are sides.', 1: 'Headmasters have (part) cytoplasm.', 2: 'Most bats seek fruit.', 3: 'People often have unrealistic expectations about breastfeeding.', 4: 'Most animals have long periods.', 5: 'Hepatic adenoma is an unusual complication of pregnancy.', 6: 'Electronegativity follows same trend as ionization energy.'}
| 5 |
4,322 |
['There is good reason to believe that either identical twins have more risks during pregnancy than dizygotic twins or some old trees survive fire.', 'When some old trees survive fire is true, it follows that wheat beer is a type of ale, because it s brewed using top- fermenting yeast.', 'If identical twins have more risks during pregnancy than dizygotic twins, then tadpoles are located in water.', 'If the claim that if tadpoles are located in water, then stress is one half of a natural adaptive and creative cycle does not reflect reality, then most young children have mothers who work outside the home.', 'Either one or both of these statements are true: if medical literature supports the fact that smoking in public places is hazardous to non-smokers, then paleontology is the study of the traces of ancient life, or either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science.', "Given that if medical literature supports the fact that smoking in public places is hazardous to non-smokers, then paleontology is the study of the traces of ancient life, it can be inferred that the notion that 'most young children have mothers who work outside the home' is untrue.", 'We know that either college graduates are more likely to drink heavily than high school graduates or some people can only afford to eat just once a day.', "Should it be the case that college graduates are more likely to drink heavily than high school graduates, it follows that if either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science, then the notion that 'most young children have mothers who work outside the home' is untrue.", "Should it be the case that some people can only afford to eat just once a day, it follows that if either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science, then the notion that 'most young children have mothers who work outside the home' is untrue."]
|
There is good reason to believe that either identical twins have more risks during pregnancy than dizygotic twins or some old trees survive fire. When some old trees survive fire is true, it follows that wheat beer is a type of ale, because it s brewed using top- fermenting yeast. If identical twins have more risks during pregnancy than dizygotic twins, then tadpoles are located in water. If the claim that if tadpoles are located in water, then stress is one half of a natural adaptive and creative cycle does not reflect reality, then most young children have mothers who work outside the home. Either one or both of these statements are true: if medical literature supports the fact that smoking in public places is hazardous to non-smokers, then paleontology is the study of the traces of ancient life, or either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science. Given that if medical literature supports the fact that smoking in public places is hazardous to non-smokers, then paleontology is the study of the traces of ancient life, it can be inferred that the notion that 'most young children have mothers who work outside the home' is untrue. We know that either college graduates are more likely to drink heavily than high school graduates or some people can only afford to eat just once a day. Should it be the case that college graduates are more likely to drink heavily than high school graduates, it follows that if either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science, then the notion that 'most young children have mothers who work outside the home' is untrue. Should it be the case that some people can only afford to eat just once a day, it follows that if either scented geraniums are native to South Africa and so a hard freeze can harm the plant or surfboard preservation is a blend of art and repair science, then the notion that 'most young children have mothers who work outside the home' is untrue.
|
We know that either stress is one half of a natural adaptive and creative cycle or wheat beer is a type of ale, because it s brewed using top- fermenting yeast.
|
Either one or both of these statements are true: stress can cause heartburn, stomach ulcers, and many other problems, or wheat beers are different in Belgium.
|
Uncertain
|
Constructive Dilemma:
Either [2] or [3].
If [2], then [0]. [SC2-1]
If [3], then [1].
Therefore, Either [0] or [1]..
[SC2-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If [4], then [0].).), then [5].
Not [5]. [SC2-3]
Therefore, If [4], then [0]..
[SC2-3]
Disjunction Elimination:
Either (If [6], then [7].) or (Either [8] or [9].).
If (If [6], then [7].), then (Not [5].).
If (Either [8] or [9].), then (Not [5].). [SC3-4]
Therefore, Not [5]..
[SC3-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Either [8] or [9].), then (Not [5].).).
If [11], then (If (Either [8] or [9].), then (Not [5].).).
Therefore, If (Either [8] or [9].), then (Not [5].)..
|
{0: 'Stress is one half of a natural adaptive and creative cycle.', 1: 'Wheat beer is a type of ale, because it s brewed using top- fermenting yeast.', 2: 'Identical twins have more risks during pregnancy than dizygotic twins.', 3: 'Some old trees survive fire.', 4: 'Tadpoles are located in water.', 5: 'Most young children have mothers who work outside the home.', 6: 'Medical literature supports the fact that smoking in public places is hazardous to non-smokers.', 7: 'Paleontology is the study of the traces of ancient life.', 8: 'Scented geraniums are native to South Africa and so a hard freeze can harm the plant.', 9: 'Surfboard preservation is a blend of art and repair science.', 10: 'College graduates are more likely to drink heavily than high school graduates.', 11: 'Some people can only afford to eat just once a day.'}
| 5 |
4,556 |
['The statement that states young webworms are caterpillars, measuring about one-quarter to one inch in length is false.', "Whenever it is true that the statement 'either young webworms are caterpillars, measuring about one-quarter to one inch in length or the notion that 'pesticides encompass several different chemical categories' is untrue' can be considered false, 'evolutionists claim that the theory of evolution has many advantages to a society' is true.", 'Provided that evolutionists claim that the theory of evolution has many advantages to a society, we know that if analogs usually take the form of white powder, then mothers have contact.', 'It is rational to believe that either if crustal blocks slide past each other, then aerobic exercise is an invention of an extremely sadistic mind or investment is what is fostering competition.', 'Provided that if crustal blocks slide past each other, then aerobic exercise is an invention of an extremely sadistic mind, we know that the claim that if analogs usually take the form of white powder, then mothers have contact does not correspond with reality.', 'Should it be the case that investment is what is fostering competition, it follows that astrophysics combines the theories , observations, and experiments of astronomy and physics.', "Whenever it is true that astrophysics combines the theories , observations, and experiments of astronomy and physics, 'the claim that if analogs usually take the form of white powder, then mothers have contact does not correspond with reality' is true."]
|
The statement that states young webworms are caterpillars, measuring about one-quarter to one inch in length is false. Whenever it is true that the statement 'either young webworms are caterpillars, measuring about one-quarter to one inch in length or the notion that 'pesticides encompass several different chemical categories' is untrue' can be considered false, 'evolutionists claim that the theory of evolution has many advantages to a society' is true. Provided that evolutionists claim that the theory of evolution has many advantages to a society, we know that if analogs usually take the form of white powder, then mothers have contact. It is rational to believe that either if crustal blocks slide past each other, then aerobic exercise is an invention of an extremely sadistic mind or investment is what is fostering competition. Provided that if crustal blocks slide past each other, then aerobic exercise is an invention of an extremely sadistic mind, we know that the claim that if analogs usually take the form of white powder, then mothers have contact does not correspond with reality. Should it be the case that investment is what is fostering competition, it follows that astrophysics combines the theories , observations, and experiments of astronomy and physics. Whenever it is true that astrophysics combines the theories , observations, and experiments of astronomy and physics, 'the claim that if analogs usually take the form of white powder, then mothers have contact does not correspond with reality' is true.
|
The notion that 'pesticides encompass several different chemical categories' is untrue.
|
The claim that pesticides encompass several different chemical categories holds true.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Tonens:
If [2], then (If [3], then [4].).
Not (If [3], then [4].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (Not (If [3], then [4].).).
If [7], then (Not (If [3], then [4].).). [SC3-4]
Therefore, Not (If [3], then [4].)..
[SC3-4]
Hypothetical Syllogism:
If [7], then [8].
If [8], then (Not (If [3], then [4].).).
Therefore, If [7], then (Not (If [3], then [4].).)..
|
{0: 'Pesticides encompass several different chemical categories.', 1: 'Young webworms are caterpillars, measuring about one-quarter to one inch in length.', 2: 'Evolutionists claim that the theory of evolution has many advantages to a society.', 3: 'Analogs usually take the form of white powder.', 4: 'Mothers have contact.', 5: 'Crustal blocks slide past each other.', 6: 'Aerobic exercise is an invention of an extremely sadistic mind.', 7: 'Investment is what is fostering competition.', 8: 'Astrophysics combines the theories , observations, and experiments of astronomy and physics.'}
| 5 |
4,357 |
['Once we know it is not the case that either alcohol consumption can prevent implantation of a fertilized egg or some people mistakenly believe that surgery involves the removal of the tumor and possibly part of the liver where the tumor is located, we also know that sports provide entertainment.', 'Given that alcohol consumption can prevent implantation of a fertilized egg, it can be inferred that most parents carry nest materials.', "So long as prostitution involves a prostitute or sex worker providing direct sexual services to a client, 'the claim that sports provide entertainment does not reflect reality' is true.", 'It is reasonable to believe that prostitution involves a prostitute or sex worker providing direct sexual services to a client.', 'Once we know some people mistakenly believe that if alcohol consumption can prevent implantation of a fertilized egg, then the claim that most parents carry nest materials does not correspond with reality, we also know that ants have (part) quill feathers.', "Whenever it is true that some people mistakenly believe that if alcohol consumption can prevent implantation of a fertilized egg, then the claim that most parents carry nest materials does not correspond with reality, 'it is a common misconception that ants have (part) quill feathers' is true."]
|
Once we know it is not the case that either alcohol consumption can prevent implantation of a fertilized egg or some people mistakenly believe that surgery involves the removal of the tumor and possibly part of the liver where the tumor is located, we also know that sports provide entertainment. Given that alcohol consumption can prevent implantation of a fertilized egg, it can be inferred that most parents carry nest materials. So long as prostitution involves a prostitute or sex worker providing direct sexual services to a client, 'the claim that sports provide entertainment does not reflect reality' is true. It is reasonable to believe that prostitution involves a prostitute or sex worker providing direct sexual services to a client. Once we know some people mistakenly believe that if alcohol consumption can prevent implantation of a fertilized egg, then the claim that most parents carry nest materials does not correspond with reality, we also know that ants have (part) quill feathers. Whenever it is true that some people mistakenly believe that if alcohol consumption can prevent implantation of a fertilized egg, then the claim that most parents carry nest materials does not correspond with reality, 'it is a common misconception that ants have (part) quill feathers' is true.
|
Some people mistakenly believe that surgery involves the removal of the tumor and possibly part of the liver where the tumor is located.
|
Surgery involves the removal of the tumor and possibly part of the liver where the tumor is located.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or (Not [0].).).), then [2].
Not [2]. [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC2-2]
Modus Ponens:
If [4], then (Not [2].).
[4]
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3].
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [3].).).), then [5].
If (Not (If [1], then (Not [3].).).), then (Not [5].).
Therefore, If [1], then (Not [3].)..
|
{0: 'Surgery involves the removal of the tumor and possibly part of the liver where the tumor is located.', 1: 'Alcohol consumption can prevent implantation of a fertilized egg.', 2: 'Sports provide entertainment.', 3: 'Most parents carry nest materials.', 4: 'Prostitution involves a prostitute or sex worker providing direct sexual services to a client.', 5: 'Ants have (part) quill feathers.'}
| 5 |
4,069 |
['Provided that white potatoes are modified plant roots, we know that some electric eels have electricity.', "So long as those that suggest if if perennials bloom all summer, then air moves out away from the center of high pressure, then some electric eels have electricity are wrong, 'connective tissue is the common network for bodily systems and energy pathways' is true.", 'One may reasonably assume that if those that suggest if if perennials bloom all summer, then air moves out away from the center of high pressure, then some electric eels have electricity are wrong, then it is a common misconception that connective tissue is the common network for bodily systems and energy pathways.', 'We know that at least one of two things is true: dose is proportional to current density and exposure time, or if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then desalinization is a chemical action.', 'The statement that states dose is proportional to current density and exposure time is false.', 'Should it be the case that it is not the case that if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then it is not true that desalinization is a chemical action, it follows that theaters have (part) windows.', 'One may reasonably assume that if it is not the case that if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then it is not true that desalinization is a chemical action, then those that suggest theaters have (part) windows are wrong.']
|
Provided that white potatoes are modified plant roots, we know that some electric eels have electricity. So long as those that suggest if if perennials bloom all summer, then air moves out away from the center of high pressure, then some electric eels have electricity are wrong, 'connective tissue is the common network for bodily systems and energy pathways' is true. One may reasonably assume that if those that suggest if if perennials bloom all summer, then air moves out away from the center of high pressure, then some electric eels have electricity are wrong, then it is a common misconception that connective tissue is the common network for bodily systems and energy pathways. We know that at least one of two things is true: dose is proportional to current density and exposure time, or if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then desalinization is a chemical action. The statement that states dose is proportional to current density and exposure time is false. Should it be the case that it is not the case that if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then it is not true that desalinization is a chemical action, it follows that theaters have (part) windows. One may reasonably assume that if it is not the case that if the claim that either if perennials bloom all summer, then air moves out away from the center of high pressure or white potatoes are modified plant roots has no merit, then it is not true that desalinization is a chemical action, then those that suggest theaters have (part) windows are wrong.
|
It is rational to agree that some electric eels have electricity.
|
The notion that 'some electric eels have electricity' is untrue.
|
FALSE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either (If [1], then [2].) or [3].).), then [4]. [SC1-2]
If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].). [SC2-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either (If [1], then [2].) or [3].).), then [4].).
Not [7].
Therefore, If (Not (Either (If [1], then [2].) or [3].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].).).), then [6].
If (Not (If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].).).), then (Not [6].).
Therefore, If (Not (Either (If [1], then [2].) or [3].).), then (Not [4].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then [5].
If (Not (If (If [1], then [2].), then [0].).), then (Not [5].).
Therefore, If (If [1], then [2].), then [0]..
|
{0: 'Some electric eels have electricity.', 1: 'Perennials bloom all summer.', 2: 'Air moves out away from the center of high pressure.', 3: 'White potatoes are modified plant roots.', 4: 'Desalinization is a chemical action.', 5: 'Connective tissue is the common network for bodily systems and energy pathways.', 6: 'Theaters have (part) windows.', 7: 'Dose is proportional to current density and exposure time.'}
| 5 |
4,514 |
["So long as legalism means basing salvation on works or law or imposing nonbiblical rules, 'the claim that many sharks migrate yearly from cold feeding waters to warm breeding waters does not correspond with reality' is true.", 'Either blue smoke can indicate engine oil being burned in the combustion chamber or if buzzards are scavengers, then the claim that many sharks migrate yearly from cold feeding waters to warm breeding waters does not correspond with reality.', 'The claim that blue smoke can indicate engine oil being burned in the combustion chamber has no merit.', 'It is a fact that either disconnections are common in mobile environments or either animals have elementary numerical abilities or skimmers uses surface tension to travel.', 'One may reasonably assume that if disconnections are common in mobile environments, then either meals include plants or either legalism means basing salvation on works or law or imposing nonbiblical rules or buzzards are scavengers.', 'When either animals have elementary numerical abilities or skimmers uses surface tension to travel is true, it follows that either meals include plants or either legalism means basing salvation on works or law or imposing nonbiblical rules or buzzards are scavengers.', 'It is a fact that either physical geography studies the dynamics of the earth as the home of people or estuaries are important for the health of the oceans.', "On the condition that physical geography studies the dynamics of the earth as the home of people, it is definitely the case that the statement 'meals include plants' can be considered false.", "Whenever it is true that estuaries are important for the health of the oceans, 'the statement 'meals include plants' can be considered false' is true."]
|
So long as legalism means basing salvation on works or law or imposing nonbiblical rules, 'the claim that many sharks migrate yearly from cold feeding waters to warm breeding waters does not correspond with reality' is true. Either blue smoke can indicate engine oil being burned in the combustion chamber or if buzzards are scavengers, then the claim that many sharks migrate yearly from cold feeding waters to warm breeding waters does not correspond with reality. The claim that blue smoke can indicate engine oil being burned in the combustion chamber has no merit. It is a fact that either disconnections are common in mobile environments or either animals have elementary numerical abilities or skimmers uses surface tension to travel. One may reasonably assume that if disconnections are common in mobile environments, then either meals include plants or either legalism means basing salvation on works or law or imposing nonbiblical rules or buzzards are scavengers. When either animals have elementary numerical abilities or skimmers uses surface tension to travel is true, it follows that either meals include plants or either legalism means basing salvation on works or law or imposing nonbiblical rules or buzzards are scavengers. It is a fact that either physical geography studies the dynamics of the earth as the home of people or estuaries are important for the health of the oceans. On the condition that physical geography studies the dynamics of the earth as the home of people, it is definitely the case that the statement 'meals include plants' can be considered false. Whenever it is true that estuaries are important for the health of the oceans, 'the statement 'meals include plants' can be considered false' is true.
|
The claim that many sharks migrate yearly from cold feeding waters to warm breeding waters does not correspond with reality.
|
The statement that 'some sharks even eat swordfish' is incorrect.
|
Uncertain
|
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]
Disjunctive Syllogism:
Either [4] or (Either [1] or [2].). [SC1-2]
Not [4]. [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (Either [4] or (Either [1] or [2].).).
If (Either [8] or [9].), then (Either [4] or (Either [1] or [2].).).
Therefore, Either [4] or (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
[SC3-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [0].).).
Not [3].
Therefore, If [2], then (Not [0].)..
|
{0: 'Many sharks migrate yearly from cold feeding waters to warm breeding waters.', 1: 'Legalism means basing salvation on works or law or imposing nonbiblical rules.', 2: 'Buzzards are scavengers.', 3: 'Blue smoke can indicate engine oil being burned in the combustion chamber.', 4: 'Meals include plants.', 5: 'Physical geography studies the dynamics of the earth as the home of people.', 6: 'Estuaries are important for the health of the oceans.', 7: 'Disconnections are common in mobile environments.', 8: 'Animals have elementary numerical abilities.', 9: 'Skimmers uses surface tension to travel.'}
| 5 |
4,509 |
['Provided that it is a common misconception that if the claim that either subsequent pregnancies can bring about a whole new set of emotions or most european rabbits have years does not correspond with reality, then herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, we know that neutral red is a particulate stain.', 'On the condition that it is a common misconception that if the claim that either subsequent pregnancies can bring about a whole new set of emotions or most european rabbits have years does not correspond with reality, then herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, it is definitely the case that those that suggest neutral red is a particulate stain are wrong.', 'The statement, books are the fountain of human knowledge and the tools to financial freedom, does not hold.', 'Given that herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, it can be inferred that bones become lighter and more brittle.', 'Assuming bones become lighter and more brittle, we know that households contain adults.', 'Should it be the case that households contain adults, it follows that books are the fountain of human knowledge and the tools to financial freedom.']
|
Provided that it is a common misconception that if the claim that either subsequent pregnancies can bring about a whole new set of emotions or most european rabbits have years does not correspond with reality, then herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, we know that neutral red is a particulate stain. On the condition that it is a common misconception that if the claim that either subsequent pregnancies can bring about a whole new set of emotions or most european rabbits have years does not correspond with reality, then herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, it is definitely the case that those that suggest neutral red is a particulate stain are wrong. The statement, books are the fountain of human knowledge and the tools to financial freedom, does not hold. Given that herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent, it can be inferred that bones become lighter and more brittle. Assuming bones become lighter and more brittle, we know that households contain adults. Should it be the case that households contain adults, it follows that books are the fountain of human knowledge and the tools to financial freedom.
|
At least one of two things is true: subsequent pregnancies can bring about a whole new set of emotions, or most european rabbits have years.
|
At least one of two things is true: subsequent pregnancies can bring about a whole new set of emotions, or most european rabbits have years.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC2-1]
Modus Tonens:
If [2], then [4]. [SC1-2]
Not [4].
Therefore, Not [2]..
[SC1-2]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [4]. [SC2-3]
Therefore, If [2], then [4]..
[SC2-3]
Hypothetical Syllogism:
If [5], then [6].
If [6], then [4].
Therefore, If [5], then [4]..
|
{0: 'Subsequent pregnancies can bring about a whole new set of emotions.', 1: 'Most european rabbits have years.', 2: 'Herbaceous plants have naked buds in which the outer leaves are green and somewhat succulent.', 3: 'Neutral red is a particulate stain.', 4: 'Books are the fountain of human knowledge and the tools to financial freedom.', 5: 'Bones become lighter and more brittle.', 6: 'Households contain adults.'}
| 5 |
4,340 |
['Should it be the case that many industrial processes generate metalworking fluid mists, it follows that allergies can trigger inflammation of the sinuses and nasal mucous linings.', 'It is not the case that partnerships allow communities to develop collaborative strategies and share resources.', 'Assuming it is not the case that if individuals lead life, then allergies can trigger inflammation of the sinuses and nasal mucous linings, we know that either most energy comes from food or many volcanoes have summit lakes through which heat and gases rise to the surface and escape.', "On the condition that it is not the case that if individuals lead life, then allergies can trigger inflammation of the sinuses and nasal mucous linings, it is definitely the case that the notion that 'either most energy comes from food or many volcanoes have summit lakes through which heat and gases rise to the surface and escape' is untrue.", 'Some people mistakenly believe that environmental conditions determine migration behavior.', 'One may reasonably assume that if the claim that either environmental conditions determine migration behavior or either partnerships allow communities to develop collaborative strategies and share resources or either individuals lead life or many industrial processes generate metalworking fluid mists does not correspond with reality, then most waterborne illnesses cause common symptoms.', 'On the condition that the claim that either environmental conditions determine migration behavior or either partnerships allow communities to develop collaborative strategies and share resources or either individuals lead life or many industrial processes generate metalworking fluid mists does not correspond with reality, it is definitely the case that the claim that most waterborne illnesses cause common symptoms does not correspond with reality.']
|
Should it be the case that many industrial processes generate metalworking fluid mists, it follows that allergies can trigger inflammation of the sinuses and nasal mucous linings. It is not the case that partnerships allow communities to develop collaborative strategies and share resources. Assuming it is not the case that if individuals lead life, then allergies can trigger inflammation of the sinuses and nasal mucous linings, we know that either most energy comes from food or many volcanoes have summit lakes through which heat and gases rise to the surface and escape. On the condition that it is not the case that if individuals lead life, then allergies can trigger inflammation of the sinuses and nasal mucous linings, it is definitely the case that the notion that 'either most energy comes from food or many volcanoes have summit lakes through which heat and gases rise to the surface and escape' is untrue. Some people mistakenly believe that environmental conditions determine migration behavior. One may reasonably assume that if the claim that either environmental conditions determine migration behavior or either partnerships allow communities to develop collaborative strategies and share resources or either individuals lead life or many industrial processes generate metalworking fluid mists does not correspond with reality, then most waterborne illnesses cause common symptoms. On the condition that the claim that either environmental conditions determine migration behavior or either partnerships allow communities to develop collaborative strategies and share resources or either individuals lead life or many industrial processes generate metalworking fluid mists does not correspond with reality, it is definitely the case that the claim that most waterborne illnesses cause common symptoms does not correspond with reality.
|
The claim that allergies can trigger inflammation of the sinuses and nasal mucous linings holds true.
|
The claim that allergies can trigger inflammation of the sinuses and nasal mucous linings is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or [2].). [SC1-2]
Not [3].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [3] or (Either [1] or [2].).). [SC1-3]
Not [6].
Therefore, Either [3] or (Either [1] or [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (Either [3] or (Either [1] or [2].).).).), then [7].
If (Not (Either [6] or (Either [3] or (Either [1] or [2].).).).), then (Not [7].).
Therefore, Either [6] or (Either [3] or (Either [1] or [2].).)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then (Either [4] or [5].).
If (Not (If [1], then [0].).), then (Not (Either [4] or [5].).).
Therefore, If [1], then [0]..
|
{0: 'Allergies can trigger inflammation of the sinuses and nasal mucous linings.', 1: 'Individuals lead life.', 2: 'Many industrial processes generate metalworking fluid mists.', 3: 'Partnerships allow communities to develop collaborative strategies and share resources.', 4: 'Most energy comes from food.', 5: 'Many volcanoes have summit lakes through which heat and gases rise to the surface and escape.', 6: 'Environmental conditions determine migration behavior.', 7: 'Most waterborne illnesses cause common symptoms.'}
| 5 |
4,221 |
["One may reasonably assume that if the statement 'korean food is famous for the spicy taste' can be considered false, then papaya has smell.", 'It is rational to believe that either elements combined When hydrogen burns in the air, water is formed or either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances.', "Given that elements combined When hydrogen burns in the air, water is formed, it can be inferred that if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper.", 'We know that at least one of two things is true: technology leads to inventions, or if blueprints are paper, then the claim that papaya has smell does not reflect reality.', 'The claim that technology leads to inventions has no merit.', 'Either guinea pigs are also cute and quiet or cats love to be warm.', "So long as guinea pigs are also cute and quiet, 'if either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances, then if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper' is true.", "If cats love to be warm, then if either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances, then if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper."]
|
One may reasonably assume that if the statement 'korean food is famous for the spicy taste' can be considered false, then papaya has smell. It is rational to believe that either elements combined When hydrogen burns in the air, water is formed or either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances. Given that elements combined When hydrogen burns in the air, water is formed, it can be inferred that if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper. We know that at least one of two things is true: technology leads to inventions, or if blueprints are paper, then the claim that papaya has smell does not reflect reality. The claim that technology leads to inventions has no merit. Either guinea pigs are also cute and quiet or cats love to be warm. So long as guinea pigs are also cute and quiet, 'if either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances, then if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper' is true. If cats love to be warm, then if either postoperative analgesia is usually of only brief duration or allergies are abnormal reactions to ordinarily harmless substances, then if the statement 'korean food is famous for the spicy taste' can be considered false, then blueprints are paper.
|
It is the case that korean food is famous for the spicy taste.
|
It is the case that korean food is famous for the spicy taste.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If (Not [0].), then [2].).
If (Either [5] or [6].), then (If (Not [0].), then [2].). [SC3-3]
Therefore, If (Not [0].), then [2]..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Either [5] or [6].), then (If (Not [0].), then [2].).).
If [8], then (If (Either [5] or [6].), then (If (Not [0].), then [2].).).
Therefore, If (Either [5] or [6].), then (If (Not [0].), then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [2], then (Not [1].).).
Not [3].
Therefore, If [2], then (Not [1].)..
|
{0: 'Korean food is famous for the spicy taste.', 1: 'Papaya has smell.', 2: 'Blueprints are paper.', 3: 'Technology leads to inventions.', 4: 'Elements combined When hydrogen burns in the air, water is formed.', 5: 'Postoperative analgesia is usually of only brief duration.', 6: 'Allergies are abnormal reactions to ordinarily harmless substances.', 7: 'Guinea pigs are also cute and quiet.', 8: 'Cats love to be warm.'}
| 5 |
4,928 |
['One may reasonably assume that if some people mistakenly believe that if wireless systems use many ways to transmit information, then if inflation destroys faith in government and sets social classes against each other, then rats require food, then virtual communities are a major trend in marketing on the Internet today.', "So long as raptors are birds of prey, 'wireless systems use many ways to transmit information' is true.", 'Should it be the case that older people are more likely to read the Bible than are younger people, it follows that wireless systems use many ways to transmit information.', "Once we know fire strips the ground of vegetation, allowing rains to erode fresh rock and soils, we also know that if some people mistakenly believe that if wireless systems use many ways to transmit information, then if inflation destroys faith in government and sets social classes against each other, then rats require food, then the notion that 'virtual communities are a major trend in marketing on the Internet today' is untrue.", 'We can assume that fire strips the ground of vegetation, allowing rains to erode fresh rock and soils.', 'Either one or both of these statements are true: kitties have (part) cell membranes, or most giant coots have limit ranges.', 'When kitties have (part) cell membranes is true, it follows that raptors are birds of prey.', 'Given that most giant coots have limit ranges, it can be inferred that older people are more likely to read the Bible than are younger people.']
|
One may reasonably assume that if some people mistakenly believe that if wireless systems use many ways to transmit information, then if inflation destroys faith in government and sets social classes against each other, then rats require food, then virtual communities are a major trend in marketing on the Internet today. So long as raptors are birds of prey, 'wireless systems use many ways to transmit information' is true. Should it be the case that older people are more likely to read the Bible than are younger people, it follows that wireless systems use many ways to transmit information. Once we know fire strips the ground of vegetation, allowing rains to erode fresh rock and soils, we also know that if some people mistakenly believe that if wireless systems use many ways to transmit information, then if inflation destroys faith in government and sets social classes against each other, then rats require food, then the notion that 'virtual communities are a major trend in marketing on the Internet today' is untrue. We can assume that fire strips the ground of vegetation, allowing rains to erode fresh rock and soils. Either one or both of these statements are true: kitties have (part) cell membranes, or most giant coots have limit ranges. When kitties have (part) cell membranes is true, it follows that raptors are birds of prey. Given that most giant coots have limit ranges, it can be inferred that older people are more likely to read the Bible than are younger people.
|
Should it be the case that inflation destroys faith in government and sets social classes against each other, it follows that rats require food.
|
The claim that if inflation destroys faith in government and sets social classes against each other, then rats require food has no merit.
|
FALSE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then [5].
If (Not (If [2], then (If [0], then [1].).).), then (Not [5].). [SC2-2]
Therefore, If [2], then (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [6], then (If (Not (If [2], then (If [0], then [1].).).), then (Not [5].).).
[6]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (Not [5].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then [2].
If [4], then [2].
Therefore, [2].
[SC1-2]
Constructive Dilemma:
Either [7] or [8].
If [7], then [3].
If [8], then [4].
Therefore, Either [3] or [4]..
|
{0: 'Inflation destroys faith in government and sets social classes against each other.', 1: 'Rats require food.', 2: 'Wireless systems use many ways to transmit information.', 3: 'Raptors are birds of prey.', 4: 'Older people are more likely to read the Bible than are younger people.', 5: 'Virtual communities are a major trend in marketing on the Internet today.', 6: 'Fire strips the ground of vegetation, allowing rains to erode fresh rock and soils.', 7: 'Kitties have (part) cell membranes.', 8: 'Most giant coots have limit ranges.'}
| 5 |
4,146 |
["The notion that 'blood pressure is often high in the arms and low in the legs' is untrue.", 'Assuming pure ethanol is a colourless flammable liquid, we know that toucans have compact bodies, small wings, and short necks.', "The statement that 'toucans have compact bodies, small wings, and short necks' is incorrect.", "So long as it is a common misconception that either blood pressure is often high in the arms and low in the legs or either pure ethanol is a colourless flammable liquid or some people mistakenly believe that phimosises are abnormalities, 'some oil regulates production' is true.", 'There is good reason to believe that either if electromagnetic sensors detect target emitted electromagnetic radiation, then thumbs have (part) pads or it is not true that some oil regulates production.', 'It is a common misconception that if electromagnetic sensors detect target emitted electromagnetic radiation, then thumbs have (part) pads.']
|
The notion that 'blood pressure is often high in the arms and low in the legs' is untrue. Assuming pure ethanol is a colourless flammable liquid, we know that toucans have compact bodies, small wings, and short necks. The statement that 'toucans have compact bodies, small wings, and short necks' is incorrect. So long as it is a common misconception that either blood pressure is often high in the arms and low in the legs or either pure ethanol is a colourless flammable liquid or some people mistakenly believe that phimosises are abnormalities, 'some oil regulates production' is true. There is good reason to believe that either if electromagnetic sensors detect target emitted electromagnetic radiation, then thumbs have (part) pads or it is not true that some oil regulates production. It is a common misconception that if electromagnetic sensors detect target emitted electromagnetic radiation, then thumbs have (part) pads.
|
Some people mistakenly believe that phimosises are abnormalities.
|
Some people mistakenly believe that phimosises are abnormalities.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (Either [1] or (Not [0].).). [SC1-2]
Not [3].
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or (Either [1] or (Not [0].).).).), then [4].
Not [4]. [SC2-3]
Therefore, Either [3] or (Either [1] or (Not [0].).)..
[SC2-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [4].).
Not (If [5], then [6].).
Therefore, Not [4]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2].
Therefore, Not [1]..
|
{0: 'Phimosises are abnormalities.', 1: 'Pure ethanol is a colourless flammable liquid.', 2: 'Toucans have compact bodies, small wings, and short necks.', 3: 'Blood pressure is often high in the arms and low in the legs.', 4: 'Some oil regulates production.', 5: 'Electromagnetic sensors detect target emitted electromagnetic radiation.', 6: 'Thumbs have (part) pads.'}
| 5 |
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