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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|---|---|---|---|---|---|---|---|---|
6,785 |
['Given that it is not true that chords share many of the same characteristics of intervals, it can be inferred that geometry provides the multidimensional space in which events can occur.', 'The claim that geometry provides the multidimensional space in which events can occur does not reflect reality.', 'It is rational to agree that solar radiation is the only significant source of energy driving the climate system.', 'If many countries claim the patronage of a particular saint, then most trees have woody branches.', 'We know that the claim that most trees have woody branches is false.', 'The claim that total blindness occurs in middle to late life is false.', "Should it be the case that some parents have same phenotypes, it follows that either total blindness occurs in middle to late life or if solar radiation is the only significant source of energy driving the climate system, then if the claim that if chords share many of the same characteristics of intervals, then the statement 'security protocols are network protocols' can be considered false is false, then many countries claim the patronage of a particular saint.", 'Many people rightly believe that some parents have same phenotypes.']
|
Given that it is not true that chords share many of the same characteristics of intervals, it can be inferred that geometry provides the multidimensional space in which events can occur. The claim that geometry provides the multidimensional space in which events can occur does not reflect reality. It is rational to agree that solar radiation is the only significant source of energy driving the climate system. If many countries claim the patronage of a particular saint, then most trees have woody branches. We know that the claim that most trees have woody branches is false. The claim that total blindness occurs in middle to late life is false. Should it be the case that some parents have same phenotypes, it follows that either total blindness occurs in middle to late life or if solar radiation is the only significant source of energy driving the climate system, then if the claim that if chords share many of the same characteristics of intervals, then the statement 'security protocols are network protocols' can be considered false is false, then many countries claim the patronage of a particular saint. Many people rightly believe that some parents have same phenotypes.
|
The statement 'security protocols are network protocols' can be considered false.
|
The statement, most security protocols prefer separating encryption and authentication, does not hold.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [1], then (Not [0].).).), then [2].). [SC1-3]
[4]
Therefore, If (Not (If [1], then (Not [0].).).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If (Not (If [1], then (Not [0].).).), then [2].).). [SC1-4]
Not [6].
Therefore, If [4], then (If (Not (If [1], then (Not [0].).).), then [2].)..
[SC1-4]
Modus Ponens:
If [7], then (Either [6] or (If [4], then (If (Not (If [1], then (Not [0].).).), then [2].).).).
[7]
Therefore, Either [6] or (If [4], then (If (Not (If [1], then (Not [0].).).), then [2].).)..
[SC2-2]
Modus Tonens:
If [2], then [5].
Not [5].
Therefore, Not [2]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3].
Not [3].
Therefore, [1].
|
{0: 'Security protocols are network protocols.', 1: 'Chords share many of the same characteristics of intervals.', 2: 'Many countries claim the patronage of a particular saint.', 3: 'Geometry provides the multidimensional space in which events can occur.', 4: 'Solar radiation is the only significant source of energy driving the climate system.', 5: 'Most trees have woody branches.', 6: 'Total blindness occurs in middle to late life.', 7: 'Some parents have same phenotypes.'}
| 7 |
6,873 |
['Either sexual reproduction is by conjugation or if either fitness is a statistical property or vigorous plants are disease resistant and become loaded with fruit, then pathological behaviors mark extreme personality deviations.', "The statement that 'sexual reproduction is by conjugation' is incorrect.", 'One may reasonably assume that if fire can jump roadways and move faster than a speeding car, then fitness is a statistical property.', "So long as acute infections are characterized by a short period of dyspnea is followed by sudden death , 'vigorous plants are disease resistant and become loaded with fruit' is true.", 'If we know that the claim that either thumb hole isolates out the thumb, but all the other fingers work together or procrastination is a problem that seems to affect many attorneys is false, then plants burn both oil and coal.', 'When we know that the claim that either thumb hole isolates out the thumb, but all the other fingers work together or procrastination is a problem that seems to affect many attorneys is false is true, it follows that some people mistakenly believe that plants burn both oil and coal.', 'It is a fact that either perfectionism is dispositions or exercise actually causes insulin levels to decrease.', 'If perfectionism is dispositions, then if thumb hole isolates out the thumb, but all the other fingers work together, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death .', 'Assuming exercise actually causes insulin levels to decrease, we know that if thumb hole isolates out the thumb, but all the other fingers work together, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death .', 'Either one or both of these statements are true: biomagnetic insoles provide massage to the soles of the feet, or if procrastination is a problem that seems to affect many attorneys, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death .', 'The statement, biomagnetic insoles provide massage to the soles of the feet, does not hold.']
|
Either sexual reproduction is by conjugation or if either fitness is a statistical property or vigorous plants are disease resistant and become loaded with fruit, then pathological behaviors mark extreme personality deviations. The statement that 'sexual reproduction is by conjugation' is incorrect. One may reasonably assume that if fire can jump roadways and move faster than a speeding car, then fitness is a statistical property. So long as acute infections are characterized by a short period of dyspnea is followed by sudden death , 'vigorous plants are disease resistant and become loaded with fruit' is true. If we know that the claim that either thumb hole isolates out the thumb, but all the other fingers work together or procrastination is a problem that seems to affect many attorneys is false, then plants burn both oil and coal. When we know that the claim that either thumb hole isolates out the thumb, but all the other fingers work together or procrastination is a problem that seems to affect many attorneys is false is true, it follows that some people mistakenly believe that plants burn both oil and coal. It is a fact that either perfectionism is dispositions or exercise actually causes insulin levels to decrease. If perfectionism is dispositions, then if thumb hole isolates out the thumb, but all the other fingers work together, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death . Assuming exercise actually causes insulin levels to decrease, we know that if thumb hole isolates out the thumb, but all the other fingers work together, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death . Either one or both of these statements are true: biomagnetic insoles provide massage to the soles of the feet, or if procrastination is a problem that seems to affect many attorneys, then either fire can jump roadways and move faster than a speeding car or acute infections are characterized by a short period of dyspnea is followed by sudden death . The statement, biomagnetic insoles provide massage to the soles of the feet, does not hold.
|
The claim that pathological behaviors mark extreme personality deviations holds true.
|
It is a common misconception that pathological behaviors mark extreme personality deviations.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [1] or [2].), then [0].).
Not [3].
Therefore, If (Either [1] or [2].), then [0]..
[SC2-1]
Constructive Dilemma:
Either [4] or [5]. [SC1-2]
If [4], then [1].
If [5], then [2].
Therefore, Either [1] or [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or [7]. [SC1-3]
If [6], then (Either [4] or [5].). [SC2-3]
If [7], then (Either [4] or [5].). [SC3-3]
Therefore, Either [4] or [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or [7].).), then [11].
If (Not (Either [6] or [7].).), then (Not [11].).
Therefore, Either [6] or [7]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [6], then (Either [4] or [5].).).
If [10], then (If [6], then (Either [4] or [5].).).
Therefore, If [6], then (Either [4] or [5].)..
[SC3-3]
Disjunctive Syllogism:
Either [8] or (If [7], then (Either [4] or [5].).).
Not [8].
Therefore, If [7], then (Either [4] or [5].)..
|
{0: 'Pathological behaviors mark extreme personality deviations.', 1: 'Fitness is a statistical property.', 2: 'Vigorous plants are disease resistant and become loaded with fruit.', 3: 'Sexual reproduction is by conjugation.', 4: 'Fire can jump roadways and move faster than a speeding car.', 5: 'Acute infections are characterized by a short period of dyspnea is followed by sudden death .', 6: 'Thumb hole isolates out the thumb, but all the other fingers work together.', 7: 'Procrastination is a problem that seems to affect many attorneys.', 8: 'Biomagnetic insoles provide massage to the soles of the feet.', 9: 'Perfectionism is dispositions.', 10: 'Exercise actually causes insulin levels to decrease.', 11: 'Plants burn both oil and coal.'}
| 7 |
6,065 |
['Given that most falcons love mice, it can be inferred that some people mistakenly believe that variety is thus a measure of the complexity of the system.', "So long as the claim that if pronghorn antelopes roam north american steppes, then most falcons love mice does not correspond with reality, 'rapid treatment is essential to prevent permanent damage to joints or internal organs' is true.", 'There is good reason to believe that either hay fever is the most clear-cut case of allergy or most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations.', 'Given that hay fever is the most clear-cut case of allergy, it can be inferred that pronghorn antelopes roam north american steppes.', 'One may reasonably assume that if rapid treatment is essential to prevent permanent damage to joints or internal organs, then cabbage is eaten in many ways around the world.', 'The claim that cabbage is eaten in many ways around the world is false.', 'Those that suggest rainwater can leach the radioactivity in the soil shield to groundwater are right.', "Whenever it is true that the statement 'if rainwater can leach the radioactivity in the soil shield to groundwater, then if most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations, then pronghorn antelopes roam north american steppes' can be considered false, 'psoriasis is believed to be a result of poor utilization of fat' is true.", "Given that the statement 'if rainwater can leach the radioactivity in the soil shield to groundwater, then if most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations, then pronghorn antelopes roam north american steppes' can be considered false, it can be inferred that it is not the case that psoriasis is believed to be a result of poor utilization of fat."]
|
Given that most falcons love mice, it can be inferred that some people mistakenly believe that variety is thus a measure of the complexity of the system. So long as the claim that if pronghorn antelopes roam north american steppes, then most falcons love mice does not correspond with reality, 'rapid treatment is essential to prevent permanent damage to joints or internal organs' is true. There is good reason to believe that either hay fever is the most clear-cut case of allergy or most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations. Given that hay fever is the most clear-cut case of allergy, it can be inferred that pronghorn antelopes roam north american steppes. One may reasonably assume that if rapid treatment is essential to prevent permanent damage to joints or internal organs, then cabbage is eaten in many ways around the world. The claim that cabbage is eaten in many ways around the world is false. Those that suggest rainwater can leach the radioactivity in the soil shield to groundwater are right. Whenever it is true that the statement 'if rainwater can leach the radioactivity in the soil shield to groundwater, then if most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations, then pronghorn antelopes roam north american steppes' can be considered false, 'psoriasis is believed to be a result of poor utilization of fat' is true. Given that the statement 'if rainwater can leach the radioactivity in the soil shield to groundwater, then if most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations, then pronghorn antelopes roam north american steppes' can be considered false, it can be inferred that it is not the case that psoriasis is believed to be a result of poor utilization of fat.
|
Some people mistakenly believe that variety is thus a measure of the complexity of the system.
|
The idea that variety is thus a measure of the complexity of the system is true.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2] [SC2-2]
Therefore, [1].
[SC1-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [5].
Not [5]. [SC2-3]
Therefore, If [2], then [1]..
[SC2-3]
Modus Tonens:
If [5], then [7].
Not [7].
Therefore, Not [5]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then [2].
If [4], then [2]. [SC3-3]
Therefore, [2].
[SC3-3]
Modus Ponens:
If [6], then (If [4], then [2].). [SC1-4]
[6]
Therefore, If [4], then [2]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [6], then (If [4], then [2].).).), then [8].
If (Not (If [6], then (If [4], then [2].).).), then (Not [8].).
Therefore, If [6], then (If [4], then [2].)..
|
{0: 'Variety is thus a measure of the complexity of the system.', 1: 'Most falcons love mice.', 2: 'Pronghorn antelopes roam north american steppes.', 3: 'Hay fever is the most clear-cut case of allergy.', 4: 'Most snow crab is consumed in restaurants, a sector vulnerable to economic fluctuations.', 5: 'Rapid treatment is essential to prevent permanent damage to joints or internal organs.', 6: 'Rainwater can leach the radioactivity in the soil shield to groundwater.', 7: 'Cabbage is eaten in many ways around the world.', 8: 'Psoriasis is believed to be a result of poor utilization of fat.'}
| 7 |
6,902 |
["So long as we know that the claim that skunks are legendary for the defensive power of their foul smelling spray is false, 'either gonorrhea is the most frequently reported infectious disease in the United States or media are businesses, commercial enterprises' is true.", "On the condition that the notion that 'if we know that the claim that skunks are legendary for the defensive power of their foul smelling spray is false, then we know that the claim that either gonorrhea is the most frequently reported infectious disease in the United States or media are businesses, commercial enterprises is false' is untrue, it is definitely the case that most woodland salamanders have pink bellies.", "The statement 'atoms are mostly empty space' can be considered false.", 'The claim that kickbacks are bribes does not reflect reality.', 'It is rational to believe that either if cigarette smoke contaminates everything it touches, even people, then inventors play a critical role in commercializing their invention or if it is not true that either grandads have (part) sections or the claim that most woodland salamanders have pink bellies does not reflect reality, then atoms are mostly empty space.', "The notion that 'if cigarette smoke contaminates everything it touches, even people, then inventors play a critical role in commercializing their invention' is untrue.", 'Once we know grandads have (part) sections, we also know that endocrinologies are medicine.', "Whenever it is true that endocrinologies are medicine, 'kickbacks are bribes' is true."]
|
So long as we know that the claim that skunks are legendary for the defensive power of their foul smelling spray is false, 'either gonorrhea is the most frequently reported infectious disease in the United States or media are businesses, commercial enterprises' is true. On the condition that the notion that 'if we know that the claim that skunks are legendary for the defensive power of their foul smelling spray is false, then we know that the claim that either gonorrhea is the most frequently reported infectious disease in the United States or media are businesses, commercial enterprises is false' is untrue, it is definitely the case that most woodland salamanders have pink bellies. The statement 'atoms are mostly empty space' can be considered false. The claim that kickbacks are bribes does not reflect reality. It is rational to believe that either if cigarette smoke contaminates everything it touches, even people, then inventors play a critical role in commercializing their invention or if it is not true that either grandads have (part) sections or the claim that most woodland salamanders have pink bellies does not reflect reality, then atoms are mostly empty space. The notion that 'if cigarette smoke contaminates everything it touches, even people, then inventors play a critical role in commercializing their invention' is untrue. Once we know grandads have (part) sections, we also know that endocrinologies are medicine. Whenever it is true that endocrinologies are medicine, 'kickbacks are bribes' is true.
|
The claim that skunks are legendary for the defensive power of their foul smelling spray holds true.
|
The claim that skunks are legendary for the defensive power of their foul smelling spray holds true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then (Either [1] or [2].).
If (Not [0].), then (Not (Either [1] or [2].).). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not (Either [1] or [2].).).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not (Either [1] or [2].).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Tonens:
If (Not (Either [4] or (Not [3].).).), then [5]. [SC1-4]
Not [5].
Therefore, Either [4] or (Not [3].)..
[SC1-4]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Not (Either [4] or (Not [3].).).), then [5].).
Not (If [8], then [9].).
Therefore, If (Not (Either [4] or (Not [3].).).), then [5]..
[SC2-3]
Modus Tonens:
If [4], then [6]. [SC1-4]
Not [6].
Therefore, Not [4]..
[SC1-4]
Hypothetical Syllogism:
If [4], then [7].
If [7], then [6].
Therefore, If [4], then [6]..
|
{0: 'Skunks are legendary for the defensive power of their foul smelling spray.', 1: 'Gonorrhea is the most frequently reported infectious disease in the United States.', 2: 'Media are businesses, commercial enterprises.', 3: 'Most woodland salamanders have pink bellies.', 4: 'Grandads have (part) sections.', 5: 'Atoms are mostly empty space.', 6: 'Kickbacks are bribes.', 7: 'Endocrinologies are medicine.', 8: 'Cigarette smoke contaminates everything it touches, even people.', 9: 'Inventors play a critical role in commercializing their invention.'}
| 7 |
6,317 |
['One may reasonably assume that if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then the claim that most women have excessive secretion does not reflect reality.', 'At least one of two things is true: metamorphosis consists of developmental phases, or conker is a squirrel.', 'Given that metamorphosis consists of developmental phases, it can be inferred that if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion.', 'It is rational to believe that either mass measurements provide an essential link to theoretical models of galaxy formation and evolution or pickings are manual labor.', 'One may reasonably assume that if mass measurements provide an essential link to theoretical models of galaxy formation and evolution, then if either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality, then if conker is a squirrel, then if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion.', 'On the condition that pickings are manual labor, it is definitely the case that if either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality, then if conker is a squirrel, then if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion.', 'There is good reason to believe that either tin is expensive compared to lead, so lead alloys are cheaper or magnetic fields are the same as electric fields.', 'Given that tin is expensive compared to lead, so lead alloys are cheaper, it can be inferred that percepts involve sensations and memories whereas concepts involve only memories.', 'If magnetic fields are the same as electric fields, then either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality.', "Whenever it is true that percepts involve sensations and memories whereas concepts involve only memories, 'compulsive eating makes everything fly apart' is true.", "The notion that 'compulsive eating makes everything fly apart' is untrue."]
|
One may reasonably assume that if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then the claim that most women have excessive secretion does not reflect reality. At least one of two things is true: metamorphosis consists of developmental phases, or conker is a squirrel. Given that metamorphosis consists of developmental phases, it can be inferred that if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion. It is rational to believe that either mass measurements provide an essential link to theoretical models of galaxy formation and evolution or pickings are manual labor. One may reasonably assume that if mass measurements provide an essential link to theoretical models of galaxy formation and evolution, then if either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality, then if conker is a squirrel, then if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion. On the condition that pickings are manual labor, it is definitely the case that if either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality, then if conker is a squirrel, then if the claim that some drugs block or stimulate the release of specific neurotransmitters does not reflect reality, then most women have excessive secretion. There is good reason to believe that either tin is expensive compared to lead, so lead alloys are cheaper or magnetic fields are the same as electric fields. Given that tin is expensive compared to lead, so lead alloys are cheaper, it can be inferred that percepts involve sensations and memories whereas concepts involve only memories. If magnetic fields are the same as electric fields, then either canine understand the concept of freedom, food, social contact and reproduction or most states have statutes that accord protection in the form of immunity and confidentiality. Whenever it is true that percepts involve sensations and memories whereas concepts involve only memories, 'compulsive eating makes everything fly apart' is true. The notion that 'compulsive eating makes everything fly apart' is untrue.
|
The claim that some drugs block or stimulate the release of specific neurotransmitters holds true.
|
The claim that some drugs block or stimulate the release of specific neurotransmitters holds true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC3-2]
Modus Ponens:
If (Either [4] or [5].), then (If [3], then (If (Not [0].), then [1].).). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Either [4] or [5].), then (If [3], then (If (Not [0].), then [1].).).).
If [7], then (If (Either [4] or [5].), then (If [3], then (If (Not [0].), then [1].).).).
Therefore, If (Either [4] or [5].), then (If [3], then (If (Not [0].), then [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Either [4] or [5].). [SC1-4]
Not [8]. [SC2-4]
Therefore, Either [4] or [5]..
[SC1-4]
Constructive Dilemma:
Either [10] or [11].
If [10], then [8].
If [11], then (Either [4] or [5].).
Therefore, Either [8] or (Either [4] or [5].)..
[SC2-4]
Modus Tonens:
If [8], then [9].
Not [9].
Therefore, Not [8]..
|
{0: 'Some drugs block or stimulate the release of specific neurotransmitters.', 1: 'Most women have excessive secretion.', 2: 'Metamorphosis consists of developmental phases.', 3: 'Conker is a squirrel.', 4: 'Canine understand the concept of freedom, food, social contact and reproduction.', 5: 'Most states have statutes that accord protection in the form of immunity and confidentiality.', 6: 'Mass measurements provide an essential link to theoretical models of galaxy formation and evolution.', 7: 'Pickings are manual labor.', 8: 'Percepts involve sensations and memories whereas concepts involve only memories.', 9: 'Compulsive eating makes everything fly apart.', 10: 'Tin is expensive compared to lead, so lead alloys are cheaper.', 11: 'Magnetic fields are the same as electric fields.'}
| 7 |
6,636 |
["The statement that 'sinks come in all kinds of shapes and sizes, as do urinals' is incorrect.", 'On the condition that some people mistakenly believe that if the statement that states radius isa length is false, then bright spots are fresh craters and their ejecta patterns, it is definitely the case that officers find doors.', 'It is a fact that either horns are different than antlers or if bright spots are fresh craters and their ejecta patterns, then sinks come in all kinds of shapes and sizes, as do urinals.', 'The statement that states horns are different than antlers is false.', 'We know that either photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner or dolls are by nature multimedia figurative art.', 'Should it be the case that photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, it follows that if some husbands are diagnosed with lung diseases, then the claim that officers find doors does not correspond with reality.', 'Once we know dolls are by nature multimedia figurative art, we also know that if some husbands are diagnosed with lung diseases, then the claim that officers find doors does not correspond with reality.', 'Given that it is not the case that some husbands are diagnosed with lung diseases, it can be inferred that bulbs form small bulblets at the base of the parent bulb.', "The statement 'bulbs form small bulblets at the base of the parent bulb' can be considered false."]
|
The statement that 'sinks come in all kinds of shapes and sizes, as do urinals' is incorrect. On the condition that some people mistakenly believe that if the statement that states radius isa length is false, then bright spots are fresh craters and their ejecta patterns, it is definitely the case that officers find doors. It is a fact that either horns are different than antlers or if bright spots are fresh craters and their ejecta patterns, then sinks come in all kinds of shapes and sizes, as do urinals. The statement that states horns are different than antlers is false. We know that either photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner or dolls are by nature multimedia figurative art. Should it be the case that photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner, it follows that if some husbands are diagnosed with lung diseases, then the claim that officers find doors does not correspond with reality. Once we know dolls are by nature multimedia figurative art, we also know that if some husbands are diagnosed with lung diseases, then the claim that officers find doors does not correspond with reality. Given that it is not the case that some husbands are diagnosed with lung diseases, it can be inferred that bulbs form small bulblets at the base of the parent bulb. The statement 'bulbs form small bulblets at the base of the parent bulb' can be considered false.
|
The claim that radius isa length is true.
|
A radius is length.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [2].).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not [0].), then [2]..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].). [SC1-4]
[5] [SC2-4]
Therefore, Not [4]..
[SC1-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [5], then (Not [4].).).
If [7], then (If [5], then (Not [4].).).
Therefore, If [5], then (Not [4].)..
[SC2-4]
Modus Tonens:
If (Not [5].), then [8].
Not [8].
Therefore, [5].
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [2], then [1].).
Not [3].
Therefore, If [2], then [1]..
|
{0: 'Radius isa length.', 1: 'Sinks come in all kinds of shapes and sizes, as do urinals.', 2: 'Bright spots are fresh craters and their ejecta patterns.', 3: 'Horns are different than antlers.', 4: 'Officers find doors.', 5: 'Some husbands are diagnosed with lung diseases.', 6: 'Photosynthesis Presents the chemistry of photosynthesis in an easy to understand manner.', 7: 'Dolls are by nature multimedia figurative art.', 8: 'Bulbs form small bulblets at the base of the parent bulb.'}
| 7 |
6,666 |
['The claim that if some fish scales are part of triggerfish, then candidates have (part) necks does not reflect reality.', 'Once we know most migrations correspond to a change in seasons, we also know that if some fish scales are part of triggerfish, then candidates have (part) necks.', 'Assuming prokaryotes have no nucleus, having a nuclear body instead, we know that either most migrations correspond to a change in seasons or heather voles are mammals.', 'It is the case that prokaryotes have no nucleus, having a nuclear body instead.', 'We know that either either species vary in size and appearance, with the largest having a leg span of about nine inches or vascular plants provide many benefits or if heather voles are mammals, then protective gear can dramatically reduce the risk of baseball and softball injuries .', 'Some people mistakenly believe that either species vary in size and appearance, with the largest having a leg span of about nine inches or vascular plants provide many benefits.', "Given that if water is the most powerful of all elements, then geographers also study the linkages between human activity and natural systems, it can be inferred that if protective gear can dramatically reduce the risk of baseball and softball injuries , then the notion that 'oryxes reach sexual maturity' is untrue.", "Should it be the case that snapdragons have leaves, it follows that if protective gear can dramatically reduce the risk of baseball and softball injuries , then the notion that 'oryxes reach sexual maturity' is untrue.", "Whenever it is true that the statement 'either if water is the most powerful of all elements, then geographers also study the linkages between human activity and natural systems or snapdragons have leaves' can be considered false, 'if cells contain large amounts of silica, then duties include rules' is true.", "The notion that 'if cells contain large amounts of silica, then duties include rules' is untrue."]
|
The claim that if some fish scales are part of triggerfish, then candidates have (part) necks does not reflect reality. Once we know most migrations correspond to a change in seasons, we also know that if some fish scales are part of triggerfish, then candidates have (part) necks. Assuming prokaryotes have no nucleus, having a nuclear body instead, we know that either most migrations correspond to a change in seasons or heather voles are mammals. It is the case that prokaryotes have no nucleus, having a nuclear body instead. We know that either either species vary in size and appearance, with the largest having a leg span of about nine inches or vascular plants provide many benefits or if heather voles are mammals, then protective gear can dramatically reduce the risk of baseball and softball injuries . Some people mistakenly believe that either species vary in size and appearance, with the largest having a leg span of about nine inches or vascular plants provide many benefits. Given that if water is the most powerful of all elements, then geographers also study the linkages between human activity and natural systems, it can be inferred that if protective gear can dramatically reduce the risk of baseball and softball injuries , then the notion that 'oryxes reach sexual maturity' is untrue. Should it be the case that snapdragons have leaves, it follows that if protective gear can dramatically reduce the risk of baseball and softball injuries , then the notion that 'oryxes reach sexual maturity' is untrue. Whenever it is true that the statement 'either if water is the most powerful of all elements, then geographers also study the linkages between human activity and natural systems or snapdragons have leaves' can be considered false, 'if cells contain large amounts of silica, then duties include rules' is true. The notion that 'if cells contain large amounts of silica, then duties include rules' is untrue.
|
The notion that 'oryxes reach sexual maturity' is untrue.
|
The notion that 'oryxes have (part) corpi' is untrue.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or (Not [0].). [SC1-1]
Not (If [1], then [2].).
Therefore, Not [0]..
[SC1-1]
Constructive Dilemma:
Either [3] or [4]. [SC1-2]
If [3], then (If [1], then [2].).
If [4], then (Not [0].). [SC3-2]
Therefore, Either (If [1], then [2].) or (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or [4].).
[5]
Therefore, Either [3] or [4]..
[SC3-2]
Hypothetical Syllogism:
If [4], then [6]. [SC1-3]
If [6], then (Not [0].). [SC2-3]
Therefore, If [4], then (Not [0].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [10] or [11].) or (If [4], then [6].).
Not (Either [10] or [11].).
Therefore, If [4], then [6]..
[SC2-3]
Disjunction Elimination:
Either (If [7], then [8].) or [9]. [SC1-4]
If (If [7], then [8].), then (If [6], then (Not [0].).).
If [9], then (If [6], then (Not [0].).).
Therefore, If [6], then (Not [0].)..
[SC1-4]
Modus Tonens:
If (Not (Either (If [7], then [8].) or [9].).), then (If [12], then [13].).
Not (If [12], then [13].).
Therefore, Either (If [7], then [8].) or [9]..
|
{0: 'Oryxes reach sexual maturity.', 1: 'Some fish scales are part of triggerfish.', 2: 'Candidates have (part) necks.', 3: 'Most migrations correspond to a change in seasons.', 4: 'Heather voles are mammals.', 5: 'Prokaryotes have no nucleus, having a nuclear body instead.', 6: 'Protective gear can dramatically reduce the risk of baseball and softball injuries .', 7: 'Water is the most powerful of all elements.', 8: 'Geographers also study the linkages between human activity and natural systems.', 9: 'Snapdragons have leaves.', 10: 'Species vary in size and appearance, with the largest having a leg span of about nine inches.', 11: 'Vascular plants provide many benefits.', 12: 'Cells contain large amounts of silica.', 13: 'Duties include rules.'}
| 7 |
6,789 |
['It is not the case that amethyst is crystallized quartz with a purple hue that is popular for use in jewelry.', 'On the condition that it is not true that if efficiency experts are experts, then human beings molt, just like crabs and snakes, it is definitely the case that if male peacocks use colorful feathers, then anemones have (part) ears.', "Whenever it is true that it is not true that if efficiency experts are experts, then human beings molt, just like crabs and snakes, 'the claim that if male peacocks use colorful feathers, then anemones have (part) ears is false' is true.", 'Given that the claim that if human beings molt, just like crabs and snakes, then those that suggest some diseases occur in livestock are wrong has no merit, it can be inferred that points are part of scores.', 'The claim that points are part of scores is false.', 'The claim that faith is a relationship does not reflect reality.', "One may reasonably assume that if the notion that 'either faith is a relationship or if it is not the case that efficiency experts are experts, then amethyst is crystallized quartz with a purple hue that is popular for use in jewelry' is untrue, then if some roots contain compounds, then parents have a lot to do with the development of a child's body image and self-esteem.", "Given that the notion that 'either faith is a relationship or if it is not the case that efficiency experts are experts, then amethyst is crystallized quartz with a purple hue that is popular for use in jewelry' is untrue, it can be inferred that the notion that 'if some roots contain compounds, then parents have a lot to do with the development of a child's body image and self-esteem' is untrue."]
|
It is not the case that amethyst is crystallized quartz with a purple hue that is popular for use in jewelry. On the condition that it is not true that if efficiency experts are experts, then human beings molt, just like crabs and snakes, it is definitely the case that if male peacocks use colorful feathers, then anemones have (part) ears. Whenever it is true that it is not true that if efficiency experts are experts, then human beings molt, just like crabs and snakes, 'the claim that if male peacocks use colorful feathers, then anemones have (part) ears is false' is true. Given that the claim that if human beings molt, just like crabs and snakes, then those that suggest some diseases occur in livestock are wrong has no merit, it can be inferred that points are part of scores. The claim that points are part of scores is false. The claim that faith is a relationship does not reflect reality. One may reasonably assume that if the notion that 'either faith is a relationship or if it is not the case that efficiency experts are experts, then amethyst is crystallized quartz with a purple hue that is popular for use in jewelry' is untrue, then if some roots contain compounds, then parents have a lot to do with the development of a child's body image and self-esteem. Given that the notion that 'either faith is a relationship or if it is not the case that efficiency experts are experts, then amethyst is crystallized quartz with a purple hue that is popular for use in jewelry' is untrue, it can be inferred that the notion that 'if some roots contain compounds, then parents have a lot to do with the development of a child's body image and self-esteem' is untrue.
|
Those that suggest some diseases occur in livestock are wrong.
|
Those that suggest some diseases occur in livestock are wrong.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [1], then [3]. [SC1-2]
If [3], then (Not [0].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [3].).), then (If [4], then [5].).
If (Not (If [1], then [3].).), then (Not (If [4], then [5].).).
Therefore, If [1], then [3]..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (Not [0].).).), then [7].
Not [7].
Therefore, If [3], then (Not [0].)..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not [1].), then [2].). [SC1-3]
Not [6].
Therefore, If (Not [1].), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [6] or (If (Not [1].), then [2].).).), then (If [8], then [9].).
If (Not (Either [6] or (If (Not [1].), then [2].).).), then (Not (If [8], then [9].).).
Therefore, Either [6] or (If (Not [1].), then [2].)..
|
{0: 'Some diseases occur in livestock.', 1: 'Efficiency experts are experts.', 2: 'Amethyst is crystallized quartz with a purple hue that is popular for use in jewelry.', 3: 'Human beings molt, just like crabs and snakes.', 4: 'Male peacocks use colorful feathers.', 5: 'Anemones have (part) ears.', 6: 'Faith is a relationship.', 7: 'Points are part of scores.', 8: 'Some roots contain compounds.', 9: "Parents have a lot to do with the development of a child's body image and self-esteem."}
| 7 |
6,958 |
["So long as the claim that if we know that the claim that kelp forests are also highly prized for their beauty is false, then cypress is peerless for treating all conditions involving excess fluids does not correspond with reality, 'either floors are tileds or most dogs cause death' is true.", 'Should it be the case that the claim that if we know that the claim that kelp forests are also highly prized for their beauty is false, then cypress is peerless for treating all conditions involving excess fluids does not correspond with reality, it follows that it is a common misconception that either floors are tileds or most dogs cause death.', 'On the condition that the claim that if cypress is peerless for treating all conditions involving excess fluids, then fine feathers makes fine birds has no merit, it is definitely the case that optical disks are two-sided.', 'If the claim that if cypress is peerless for treating all conditions involving excess fluids, then fine feathers makes fine birds has no merit, then the statement that states optical disks are two-sided is false.', 'When pugs can get overweight is true, it follows that some radiation exposure is unavoidable, such as the cosmic radiation from space.', 'Once we know some radiation exposure is unavoidable, such as the cosmic radiation from space, we also know that if we know that the claim that kelp forests are also highly prized for their beauty is false, then it is not true that fine feathers makes fine birds .', 'Once we know most body heat is lost through the head, we also know that pugs can get overweight .', 'It is a simple truth that most body heat is lost through the head.']
|
So long as the claim that if we know that the claim that kelp forests are also highly prized for their beauty is false, then cypress is peerless for treating all conditions involving excess fluids does not correspond with reality, 'either floors are tileds or most dogs cause death' is true. Should it be the case that the claim that if we know that the claim that kelp forests are also highly prized for their beauty is false, then cypress is peerless for treating all conditions involving excess fluids does not correspond with reality, it follows that it is a common misconception that either floors are tileds or most dogs cause death. On the condition that the claim that if cypress is peerless for treating all conditions involving excess fluids, then fine feathers makes fine birds has no merit, it is definitely the case that optical disks are two-sided. If the claim that if cypress is peerless for treating all conditions involving excess fluids, then fine feathers makes fine birds has no merit, then the statement that states optical disks are two-sided is false. When pugs can get overweight is true, it follows that some radiation exposure is unavoidable, such as the cosmic radiation from space. Once we know some radiation exposure is unavoidable, such as the cosmic radiation from space, we also know that if we know that the claim that kelp forests are also highly prized for their beauty is false, then it is not true that fine feathers makes fine birds . Once we know most body heat is lost through the head, we also know that pugs can get overweight . It is a simple truth that most body heat is lost through the head.
|
kelp forests are also highly prized for their beauty.
|
Kelp forests are large jumbles of seaweed, kelp and algae.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [3].).), then (Either [4] or [5].).
If (Not (If (Not [0].), then [3].).), then (Not (Either [4] or [5].).).
Therefore, If (Not [0].), then [3]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then [8].
If (Not (If [3], then [1].).), then (Not [8].).
Therefore, If [3], then [1]..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If [2], then [7].
If [7], then (If (Not [0].), then (Not [1].).).
Therefore, If [2], then (If (Not [0].), then (Not [1].).)..
[SC2-2]
Modus Ponens:
If [6], then [2].
[6]
Therefore, [2].
|
{0: 'Kelp forests are also highly prized for their beauty.', 1: 'Fine feathers makes fine birds .', 2: 'Pugs can get overweight .', 3: 'Cypress is peerless for treating all conditions involving excess fluids.', 4: 'Floors are tileds.', 5: 'Most dogs cause death.', 6: 'Most body heat is lost through the head.', 7: 'Some radiation exposure is unavoidable, such as the cosmic radiation from space.', 8: 'Optical disks are two-sided.'}
| 7 |
6,214 |
['It is rational to believe that either some wolf packs have ranges or many birds eat fruit seeds.', 'Either clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas or if either some wolf packs have ranges or many birds eat fruit seeds, then fluxes are large due to internal cycling.', 'Those that suggest some pit vipers have receptors are wrong.', 'We know that at least one of two things is true: most habitats have vegetation, or mental impairment is most common in children with spastic quadriplegia.', 'On the condition that mental impairment is most common in children with spastic quadriplegia, it is definitely the case that either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas.', 'The claim that intergenerational mobility compares the present social position of individuals with their parents is false.', 'It is a fact that either good eyesights help other animals or some common phobias are fears of high places, social situations, and the dark.', "When good eyesights help other animals is true, it follows that if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents.", "So long as the claim that if some common phobias are fears of high places, social situations, and the dark, then if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents has no merit, 'an alcoholic drink is a drink' is true.", "So long as the claim that if some common phobias are fears of high places, social situations, and the dark, then if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents has no merit, 'it is not true that an alcoholic drink is a drink' is true."]
|
It is rational to believe that either some wolf packs have ranges or many birds eat fruit seeds. Either clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas or if either some wolf packs have ranges or many birds eat fruit seeds, then fluxes are large due to internal cycling. Those that suggest some pit vipers have receptors are wrong. We know that at least one of two things is true: most habitats have vegetation, or mental impairment is most common in children with spastic quadriplegia. On the condition that mental impairment is most common in children with spastic quadriplegia, it is definitely the case that either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas. The claim that intergenerational mobility compares the present social position of individuals with their parents is false. It is a fact that either good eyesights help other animals or some common phobias are fears of high places, social situations, and the dark. When good eyesights help other animals is true, it follows that if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents. So long as the claim that if some common phobias are fears of high places, social situations, and the dark, then if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents has no merit, 'an alcoholic drink is a drink' is true. So long as the claim that if some common phobias are fears of high places, social situations, and the dark, then if the statement that 'if most habitats have vegetation, then either some pit vipers have receptors or it is not the case that clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas' is incorrect, then intergenerational mobility compares the present social position of individuals with their parents has no merit, 'it is not true that an alcoholic drink is a drink' is true.
|
fluxes are large due to internal cycling.
|
The statement, fluxes are large due to internal cycling, does not hold.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Either [1] or [2].), then [0].).
Not [3]. [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].). [SC1-3]
Not [4].
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [4] or (Not [3].).). [SC2-4]
If [6], then (Either [4] or (Not [3].).).
Therefore, Either [4] or (Not [3].)..
[SC2-4]
Modus Tonens:
If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7]. [SC1-5]
Not [7].
Therefore, If [5], then (Either [4] or (Not [3].).)..
[SC1-5]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7].).
If [9], then (If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7].). [SC3-6]
Therefore, If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7]..
[SC3-6]
Reductio Ad Absurdum:
If (Not (If [9], then (If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7].).).), then [10].
If (Not (If [9], then (If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7].).).), then (Not [10].).
Therefore, If [9], then (If (Not (If [5], then (Either [4] or (Not [3].).).).), then [7].)..
|
{0: 'Fluxes are large due to internal cycling.', 1: 'Some wolf packs have ranges.', 2: 'Many birds eat fruit seeds.', 3: 'Clay soils are rare, so permanent fixing of ammonium to sediments is negligible in most areas.', 4: 'Some pit vipers have receptors.', 5: 'Most habitats have vegetation.', 6: 'Mental impairment is most common in children with spastic quadriplegia.', 7: 'Intergenerational mobility compares the present social position of individuals with their parents.', 8: 'Good eyesights help other animals.', 9: 'Some common phobias are fears of high places, social situations, and the dark.', 10: 'An alcoholic drink is a drink.'}
| 7 |
6,097 |
["Whenever it is true that town meetings is local government, 'chemists seem to form a significant group of winemakers' is true.", 'It is the case that a clairvoyant is a psychic.', 'There is good reason to believe that either markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow or the statement, numbats have a good sense of smell, does not hold.', "So long as some people mistakenly believe that if a clairvoyant is a psychic, then either numbats have a good sense of smell or if chemists seem to form a significant group of winemakers, then a break is an occurrence, 'wires connect to the heart' is true.", 'Assuming some people mistakenly believe that if a clairvoyant is a psychic, then either numbats have a good sense of smell or if chemists seem to form a significant group of winemakers, then a break is an occurrence, we know that it is not the case that wires connect to the heart.', 'One may reasonably assume that if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then some beekeepers also produce and package high quality pollen.', 'At least one of two things is true: c D is related to the viscosity of the fluid through which the particle is traveling, or balinese cattle are nearly as delicate as Balinese pigs are gross.', 'If c D is related to the viscosity of the fluid through which the particle is traveling, then if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then the claim that some beekeepers also produce and package high quality pollen does not reflect reality.', 'On the condition that balinese cattle are nearly as delicate as Balinese pigs are gross, it is definitely the case that if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then the claim that some beekeepers also produce and package high quality pollen does not reflect reality.']
|
Whenever it is true that town meetings is local government, 'chemists seem to form a significant group of winemakers' is true. It is the case that a clairvoyant is a psychic. There is good reason to believe that either markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow or the statement, numbats have a good sense of smell, does not hold. So long as some people mistakenly believe that if a clairvoyant is a psychic, then either numbats have a good sense of smell or if chemists seem to form a significant group of winemakers, then a break is an occurrence, 'wires connect to the heart' is true. Assuming some people mistakenly believe that if a clairvoyant is a psychic, then either numbats have a good sense of smell or if chemists seem to form a significant group of winemakers, then a break is an occurrence, we know that it is not the case that wires connect to the heart. One may reasonably assume that if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then some beekeepers also produce and package high quality pollen. At least one of two things is true: c D is related to the viscosity of the fluid through which the particle is traveling, or balinese cattle are nearly as delicate as Balinese pigs are gross. If c D is related to the viscosity of the fluid through which the particle is traveling, then if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then the claim that some beekeepers also produce and package high quality pollen does not reflect reality. On the condition that balinese cattle are nearly as delicate as Balinese pigs are gross, it is definitely the case that if markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow, then the claim that some beekeepers also produce and package high quality pollen does not reflect reality.
|
If town meetings is local government, then a break is an occurrence.
|
The claim that if town meetings is local government, then a break is an occurrence has no merit.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2].
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [2], then [1].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [2], then [1]..
[SC1-2]
Modus Ponens:
If [5], then (Either [3] or (If [2], then [1].).). [SC1-3]
[5]
Therefore, Either [3] or (If [2], then [1].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Either [3] or (If [2], then [1].).).).), then [6].
If (Not (If [5], then (Either [3] or (If [2], then [1].).).).), then (Not [6].).
Therefore, If [5], then (Either [3] or (If [2], then [1].).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [7].
If [4], then (Not [7].). [SC2-4]
Therefore, Not [4]..
[SC2-4]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then (Not [7].).).
If [9], then (If [4], then (Not [7].).).
Therefore, If [4], then (Not [7].)..
|
{0: 'Town meetings is local government.', 1: 'A break is an occurrence.', 2: 'Chemists seem to form a significant group of winemakers.', 3: 'Numbats have a good sense of smell.', 4: 'Markets vanish, currencies fail, governments fall, and unemployment and the misery of the poor grow.', 5: 'A clairvoyant is a psychic.', 6: 'Wires connect to the heart.', 7: 'Some beekeepers also produce and package high quality pollen.', 8: 'C D is related to the viscosity of the fluid through which the particle is traveling.', 9: 'Balinese cattle are nearly as delicate as Balinese pigs are gross.'}
| 7 |
6,583 |
['There is good reason to believe that either digestion takes place in the stomach which occupies most of the mesosoma and part of the prosoma or cycling produces no greenhouse gases.', 'Assuming digestion takes place in the stomach which occupies most of the mesosoma and part of the prosoma, we know that either some beaches contribute to erosion or delivery is the fetus become child.', 'One may reasonably assume that if cycling produces no greenhouse gases, then either some beaches contribute to erosion or delivery is the fetus become child.', 'Those that suggest temperatures can fall to the lower range at night are right.', 'Should it be the case that it is not true that if delivery is the fetus become child, then every cat is a mammal, it follows that it is not true that removable splint immobilizes wrist to help relieve pain and prevent injury.', 'We know that either avulsions are almost a contraindication for replant or women suffer from depression twice as much as men.', "Whenever it is true that avulsions are almost a contraindication for replant, 'if temperatures can fall to the lower range at night, then if some beaches contribute to erosion, then every cat is a mammal' is true.", 'On the condition that women suffer from depression twice as much as men, it is definitely the case that if temperatures can fall to the lower range at night, then if some beaches contribute to erosion, then every cat is a mammal.', "So long as the statement that 'if it is not true that if delivery is the fetus become child, then every cat is a mammal, then removable splint immobilizes wrist to help relieve pain and prevent injury' is incorrect, 'psoriasis occurs equally among men and women' is true.", "If it is not true that if the statement that 'if it is not true that if delivery is the fetus become child, then every cat is a mammal, then removable splint immobilizes wrist to help relieve pain and prevent injury' is incorrect, then the statement that states psoriasis occurs equally among men and women is false, then canadian universities place great emphasis on human molecular biology.", "The statement 'canadian universities place great emphasis on human molecular biology' can be considered false."]
|
There is good reason to believe that either digestion takes place in the stomach which occupies most of the mesosoma and part of the prosoma or cycling produces no greenhouse gases. Assuming digestion takes place in the stomach which occupies most of the mesosoma and part of the prosoma, we know that either some beaches contribute to erosion or delivery is the fetus become child. One may reasonably assume that if cycling produces no greenhouse gases, then either some beaches contribute to erosion or delivery is the fetus become child. Those that suggest temperatures can fall to the lower range at night are right. Should it be the case that it is not true that if delivery is the fetus become child, then every cat is a mammal, it follows that it is not true that removable splint immobilizes wrist to help relieve pain and prevent injury. We know that either avulsions are almost a contraindication for replant or women suffer from depression twice as much as men. Whenever it is true that avulsions are almost a contraindication for replant, 'if temperatures can fall to the lower range at night, then if some beaches contribute to erosion, then every cat is a mammal' is true. On the condition that women suffer from depression twice as much as men, it is definitely the case that if temperatures can fall to the lower range at night, then if some beaches contribute to erosion, then every cat is a mammal. So long as the statement that 'if it is not true that if delivery is the fetus become child, then every cat is a mammal, then removable splint immobilizes wrist to help relieve pain and prevent injury' is incorrect, 'psoriasis occurs equally among men and women' is true. If it is not true that if the statement that 'if it is not true that if delivery is the fetus become child, then every cat is a mammal, then removable splint immobilizes wrist to help relieve pain and prevent injury' is incorrect, then the statement that states psoriasis occurs equally among men and women is false, then canadian universities place great emphasis on human molecular biology. The statement 'canadian universities place great emphasis on human molecular biology' can be considered false.
|
The statement 'every cat is a mammal' is true.
|
Cats do eat grass.
|
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]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Either [1] or [2].).
If [4], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [6], then (If [1], then [0].). [SC1-2]
[6]
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [6], then (If [1], then [0].).).
If [9], then (If [6], then (If [1], then [0].).).
Therefore, If [6], then (If [1], then [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [5]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [5].).
Therefore, If [2], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then [0].).), then [5].).), then [7].
If (Not (If (Not (If [2], then [0].).), then [5].).), then (Not [7].). [SC2-3]
Therefore, If (Not (If [2], then [0].).), then [5]..
[SC2-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then [0].).), then [5].).), then (Not [7].).).), then [10].
Not [10].
Therefore, If (Not (If (Not (If [2], then [0].).), then [5].).), then (Not [7].)..
|
{0: 'Every cat is a mammal.', 1: 'Some beaches contribute to erosion.', 2: 'Delivery is the fetus become child.', 3: 'Digestion takes place in the stomach which occupies most of the mesosoma and part of the prosoma.', 4: 'Cycling produces no greenhouse gases.', 5: 'Removable splint immobilizes wrist to help relieve pain and prevent injury.', 6: 'Temperatures can fall to the lower range at night.', 7: 'Psoriasis occurs equally among men and women.', 8: 'Avulsions are almost a contraindication for replant.', 9: 'Women suffer from depression twice as much as men.', 10: 'Canadian universities place great emphasis on human molecular biology.'}
| 7 |
6,466 |
['Provided that smashers have (part) personality, we know that ultimate sanctification involves a new body and a soul separated from sin and the capacity to sin.', 'Given that the claim that smashers have (part) personality does not correspond with reality, it can be inferred that several forces combine to overcome the pull of gravity.', 'Once we know either long cuttings have a greater rooting surface and more food storage than short ones or transportation is also a major contributor to greenhouse gas emissions, we also know that if some birds feed on persistent fruit, then the claim that several forces combine to overcome the pull of gravity does not correspond with reality.', 'There is good reason to believe that either long cuttings have a greater rooting surface and more food storage than short ones or transportation is also a major contributor to greenhouse gas emissions.', 'When either interest is social groups or incidents are happening is true, it follows that some birds feed on persistent fruit.', 'It is rational to believe that either jaguars are protected in the United States under the Endangered Species Act or either either interest is social groups or incidents are happening or endurance is the ability to resist and to some degree overcome fatigue.', 'The claim that jaguars are protected in the United States under the Endangered Species Act is false.', 'Assuming weeds compete for water and nutrients, we know that if endurance is the ability to resist and to some degree overcome fatigue, then some birds feed on persistent fruit.', "The statement 'weeds compete for water and nutrients' can be considered true."]
|
Provided that smashers have (part) personality, we know that ultimate sanctification involves a new body and a soul separated from sin and the capacity to sin. Given that the claim that smashers have (part) personality does not correspond with reality, it can be inferred that several forces combine to overcome the pull of gravity. Once we know either long cuttings have a greater rooting surface and more food storage than short ones or transportation is also a major contributor to greenhouse gas emissions, we also know that if some birds feed on persistent fruit, then the claim that several forces combine to overcome the pull of gravity does not correspond with reality. There is good reason to believe that either long cuttings have a greater rooting surface and more food storage than short ones or transportation is also a major contributor to greenhouse gas emissions. When either interest is social groups or incidents are happening is true, it follows that some birds feed on persistent fruit. It is rational to believe that either jaguars are protected in the United States under the Endangered Species Act or either either interest is social groups or incidents are happening or endurance is the ability to resist and to some degree overcome fatigue. The claim that jaguars are protected in the United States under the Endangered Species Act is false. Assuming weeds compete for water and nutrients, we know that if endurance is the ability to resist and to some degree overcome fatigue, then some birds feed on persistent fruit. The statement 'weeds compete for water and nutrients' can be considered true.
|
It is a simple truth that ultimate sanctification involves a new body and a soul separated from sin and the capacity to sin.
|
Some people mistakenly believe that ultimate sanctification involves a new body and a soul separated from sin and the capacity to sin.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not [1].), then [2].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3] [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (If [3], then (Not [2].).).
Either [7] or [8].
Therefore, If [3], then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either (Either [4] or [5].) or [6]. [SC1-4]
If (Either [4] or [5].), then [3].
If [6], then [3]. [SC3-4]
Therefore, [3].
[SC1-4]
Disjunctive Syllogism:
Either [10] or (Either (Either [4] or [5].) or [6].).
Not [10].
Therefore, Either (Either [4] or [5].) or [6]..
[SC3-4]
Modus Ponens:
If [9], then (If [6], then [3].).
[9]
Therefore, If [6], then [3]..
|
{0: 'Ultimate sanctification involves a new body and a soul separated from sin and the capacity to sin.', 1: 'Smashers have (part) personality.', 2: 'Several forces combine to overcome the pull of gravity.', 3: 'Some birds feed on persistent fruit.', 4: 'Interest is social groups.', 5: 'Incidents are happening.', 6: 'Endurance is the ability to resist and to some degree overcome fatigue.', 7: 'Long cuttings have a greater rooting surface and more food storage than short ones.', 8: 'Transportation is also a major contributor to greenhouse gas emissions.', 9: 'Weeds compete for water and nutrients.', 10: 'Jaguars are protected in the United States under the Endangered Species Act.'}
| 7 |
6,523 |
["There is good reason to believe that either gasoline sold in Tulsa is refined in Oklahoma and on the Texas Gulf Coast or either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing.", 'Assuming gasoline sold in Tulsa is refined in Oklahoma and on the Texas Gulf Coast, we know that if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks.', 'The claim that either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish has no merit.', "Whenever it is true that we know that the claim that if either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing, then if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks is false, 'pigeons live in almost every part of the world' is true.", "It is a fact that either some midges have short proboscises or if sandstone explodes when it's heated, then electrostatic attraction is indiscriminate.", "Once we know if sandstone explodes when it's heated, then electrostatic attraction is indiscriminate, we also know that either either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish or colour blindness results from a lack of one or two of the receptors.", "Assuming tongues have tips, we know that if we know that the claim that if either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing, then if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks is false, then it is a common misconception that pigeons live in almost every part of the world.", 'Those that suggest tongues have tips are right.', "Whenever it is true that some midges have short proboscises, 'stable angina is chest pain that happens during exertion' is true.", 'One may reasonably assume that if stable angina is chest pain that happens during exertion, then either either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish or colour blindness results from a lack of one or two of the receptors.']
|
There is good reason to believe that either gasoline sold in Tulsa is refined in Oklahoma and on the Texas Gulf Coast or either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing. Assuming gasoline sold in Tulsa is refined in Oklahoma and on the Texas Gulf Coast, we know that if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks. The claim that either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish has no merit. Whenever it is true that we know that the claim that if either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing, then if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks is false, 'pigeons live in almost every part of the world' is true. It is a fact that either some midges have short proboscises or if sandstone explodes when it's heated, then electrostatic attraction is indiscriminate. Once we know if sandstone explodes when it's heated, then electrostatic attraction is indiscriminate, we also know that either either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish or colour blindness results from a lack of one or two of the receptors. Assuming tongues have tips, we know that if we know that the claim that if either a burner is apparatus or plastic mesh is impractical because no plastic material can withstand the animals' gnawing, then if colour blindness results from a lack of one or two of the receptors, then either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks is false, then it is a common misconception that pigeons live in almost every part of the world. Those that suggest tongues have tips are right. Whenever it is true that some midges have short proboscises, 'stable angina is chest pain that happens during exertion' is true. One may reasonably assume that if stable angina is chest pain that happens during exertion, then either either orangutans spend most of their time in trees or experts say when humans splash in the water, sharks mistake their arms and legs for fish or colour blindness results from a lack of one or two of the receptors.
|
It is rational to believe that either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks.
|
The statement, either evaluative feedback is when it is up to the teacher to judge what the student has learned or fossils are very important for determining the age of sedimentary rocks, does not hold.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunction Elimination:
Either [3] or (Either [4] or [5].).
If [3], then (If [2], then (Either [0] or [1].).).
If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).). [SC3-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).).).), then [8].
If (Not (If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).).).), then (Not [8].). [SC2-3]
Therefore, If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).)..
[SC2-3]
Modus Ponens:
If [13], then (If (Not (If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).).).), then (Not [8].).).
[13]
Therefore, If (Not (If (Either [4] or [5].), then (If [2], then (Either [0] or [1].).).).), then (Not [8].)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [6] or [7].) or [2]. [SC1-2]
Not (Either [6] or [7].).
Therefore, [2].
[SC1-2]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then (Either (Either [6] or [7].) or [2].). [SC2-3]
If (If [10], then [11].), then (Either (Either [6] or [7].) or [2].).
Therefore, Either (Either [6] or [7].) or [2]..
[SC2-3]
Hypothetical Syllogism:
If [9], then [12].
If [12], then (Either (Either [6] or [7].) or [2].).
Therefore, If [9], then (Either (Either [6] or [7].) or [2].)..
|
{0: 'Evaluative feedback is when it is up to the teacher to judge what the student has learned.', 1: 'Fossils are very important for determining the age of sedimentary rocks.', 2: 'Colour blindness results from a lack of one or two of the receptors.', 3: 'Gasoline sold in Tulsa is refined in Oklahoma and on the Texas Gulf Coast.', 4: 'A burner is apparatus.', 5: "Plastic mesh is impractical because no plastic material can withstand the animals' gnawing.", 6: 'Orangutans spend most of their time in trees.', 7: 'Experts say when humans splash in the water, sharks mistake their arms and legs for fish.', 8: 'Pigeons live in almost every part of the world.', 9: 'Some midges have short proboscises.', 10: "Sandstone explodes when it's heated.", 11: 'Electrostatic attraction is indiscriminate.', 12: 'Stable angina is chest pain that happens during exertion.', 13: 'Tongues have tips.'}
| 7 |
6,255 |
["The statement 'perennials often require less maintenance than some annual flowers' can be considered true.", "Assuming precinct inspectors are the workers who manage the polls on election day, we know that if we know that the claim that either either some death affects trees or wild animals tend to be more dangerous when injured by the mines or if yellow arsenic is a poor conductor of electricity and is soft and waxy, then chemical equilibrium is an idea which describes the behavior of chemical reactions over time is false, then anemia occurs when the body's red blood cell count is very low.", 'The idea that precinct inspectors are the workers who manage the polls on election day is true.', "Whenever it is true that anemia occurs when the body's red blood cell count is very low, 'dry air can deplete our skin of moisture, causing cracking, chapping, and irritation' is true.", 'It is a fact that either stories base on assumptions or if perennials often require less maintenance than some annual flowers, then the claim that either some death affects trees or wild animals tend to be more dangerous when injured by the mines has no merit.', 'The claim that stories base on assumptions is false.', 'Provided that dry air can deplete our skin of moisture, causing cracking, chapping, and irritation, we know that images have color.', 'Those that suggest images have color are wrong.']
|
The statement 'perennials often require less maintenance than some annual flowers' can be considered true. Assuming precinct inspectors are the workers who manage the polls on election day, we know that if we know that the claim that either either some death affects trees or wild animals tend to be more dangerous when injured by the mines or if yellow arsenic is a poor conductor of electricity and is soft and waxy, then chemical equilibrium is an idea which describes the behavior of chemical reactions over time is false, then anemia occurs when the body's red blood cell count is very low. The idea that precinct inspectors are the workers who manage the polls on election day is true. Whenever it is true that anemia occurs when the body's red blood cell count is very low, 'dry air can deplete our skin of moisture, causing cracking, chapping, and irritation' is true. It is a fact that either stories base on assumptions or if perennials often require less maintenance than some annual flowers, then the claim that either some death affects trees or wild animals tend to be more dangerous when injured by the mines has no merit. The claim that stories base on assumptions is false. Provided that dry air can deplete our skin of moisture, causing cracking, chapping, and irritation, we know that images have color. Those that suggest images have color are wrong.
|
Provided that yellow arsenic is a poor conductor of electricity and is soft and waxy, we know that chemical equilibrium is an idea which describes the behavior of chemical reactions over time
|
On the condition that yellow arsenic is unstable and rare, it is definitely the case that chemical equilibrium is an idea which describes the behavior of chemical reactions over time .
|
Uncertain
|
Disjunctive Syllogism:
Either (Either [2] or [3].) or (If [0], then [1].). [SC1-1]
Not (Either [2] or [3].). [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, Either (Either [2] or [3].) or (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [6], then (If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5].).
[6]
Therefore, If (Not (Either (Either [2] or [3].) or (If [0], then [1].).).), then [5]..
[SC2-2]
Modus Tonens:
If [5], then [7].
Not [7]. [SC2-3]
Therefore, Not [5]..
[SC2-3]
Modus Tonens:
If [7], then [9].
Not [9].
Therefore, Not [7]..
[SC2-1]
Modus Ponens:
If [4], then (Not (Either [2] or [3].).). [SC1-2]
[4]
Therefore, Not (Either [2] or [3].)..
[SC1-2]
Disjunctive Syllogism:
Either [8] or (If [4], then (Not (Either [2] or [3].).).).
Not [8].
Therefore, If [4], then (Not (Either [2] or [3].).)..
|
{0: 'Yellow arsenic is a poor conductor of electricity and is soft and waxy.', 1: 'Chemical equilibrium is an idea which describes the behavior of chemical reactions over time .', 2: 'Some death affects trees.', 3: 'Wild animals tend to be more dangerous when injured by the mines.', 4: 'Perennials often require less maintenance than some annual flowers.', 5: "Anemia occurs when the body's red blood cell count is very low.", 6: 'Precinct inspectors are the workers who manage the polls on election day.', 7: 'Dry air can deplete our skin of moisture, causing cracking, chapping, and irritation.', 8: 'Stories base on assumptions.', 9: 'Images have color.'}
| 7 |
6,385 |
['If those that suggest either mechanical engineering is one of the most diverse and exciting branches of engineering or alligators occur in temperate regions are wrong, then ions are atoms which have gained or lost electrons.', 'The statement, ions are atoms which have gained or lost electrons, does not hold.', 'The claim that white gold contains palladium and silver does not reflect reality.', "The statement 'instrumentation is the automated monitoring and control of manufacturing processes and machinery' is true.", 'There is good reason to believe that either if a sitcom is a television program, then natural litter is the home and food for hundreds of species of tiny wildlife or caracals are known for their acrobatics.', 'Once we know if a sitcom is a television program, then natural litter is the home and food for hundreds of species of tiny wildlife, we also know that white gold contains palladium and silver.', 'Provided that instrumentation is the automated monitoring and control of manufacturing processes and machinery, we know that some flowers are pollinated by moths.', 'Provided that some flowers are pollinated by moths, we know that if alligators occur in temperate regions, then a paradox is contradiction.', 'Once we know the statement that states if caracals are known for their acrobatics, then if mechanical engineering is one of the most diverse and exciting branches of engineering, then a paradox is contradiction is false, we also know that most weightlifters eat protein diets.', 'Provided that the statement that states if caracals are known for their acrobatics, then if mechanical engineering is one of the most diverse and exciting branches of engineering, then a paradox is contradiction is false, we know that it is not the case that most weightlifters eat protein diets.']
|
If those that suggest either mechanical engineering is one of the most diverse and exciting branches of engineering or alligators occur in temperate regions are wrong, then ions are atoms which have gained or lost electrons. The statement, ions are atoms which have gained or lost electrons, does not hold. The claim that white gold contains palladium and silver does not reflect reality. The statement 'instrumentation is the automated monitoring and control of manufacturing processes and machinery' is true. There is good reason to believe that either if a sitcom is a television program, then natural litter is the home and food for hundreds of species of tiny wildlife or caracals are known for their acrobatics. Once we know if a sitcom is a television program, then natural litter is the home and food for hundreds of species of tiny wildlife, we also know that white gold contains palladium and silver. Provided that instrumentation is the automated monitoring and control of manufacturing processes and machinery, we know that some flowers are pollinated by moths. Provided that some flowers are pollinated by moths, we know that if alligators occur in temperate regions, then a paradox is contradiction. Once we know the statement that states if caracals are known for their acrobatics, then if mechanical engineering is one of the most diverse and exciting branches of engineering, then a paradox is contradiction is false, we also know that most weightlifters eat protein diets. Provided that the statement that states if caracals are known for their acrobatics, then if mechanical engineering is one of the most diverse and exciting branches of engineering, then a paradox is contradiction is false, we know that it is not the case that most weightlifters eat protein diets.
|
It is reasonable to believe that a paradox is contradiction.
|
It is reasonable to believe that a paradox is contradiction.
|
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 [5].
Not [5].
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (If [1], then [0].). [SC1-2]
Not [4].
Therefore, If [1], then [0]..
[SC1-2]
Constructive Dilemma:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then [4].
If [9], then (If [1], then [0].). [SC3-3]
Therefore, Either [4] or (If [1], then [0].)..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [9], then (If [1], then [0].).).), then [10].
If (Not (If [9], then (If [1], then [0].).).), then (Not [10].).
Therefore, If [9], then (If [1], then [0].)..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].). [SC1-2]
[3]
Therefore, If [2], then [0]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [6].
If [6], then (If [2], then [0].).
Therefore, If [3], then (If [2], then [0].)..
|
{0: 'A paradox is contradiction.', 1: 'Mechanical engineering is one of the most diverse and exciting branches of engineering.', 2: 'Alligators occur in temperate regions.', 3: 'Instrumentation is the automated monitoring and control of manufacturing processes and machinery.', 4: 'White gold contains palladium and silver.', 5: 'Ions are atoms which have gained or lost electrons.', 6: 'Some flowers are pollinated by moths.', 7: 'A sitcom is a television program.', 8: 'Natural litter is the home and food for hundreds of species of tiny wildlife.', 9: 'Caracals are known for their acrobatics.', 10: 'Most weightlifters eat protein diets.'}
| 7 |
6,545 |
['The claim that some metal uses in plugs does not correspond with reality.', 'Should it be the case that a demilitarized zone is a zone, it follows that either most chimpanzees eat ants or alcohol is very high in calories.', 'We know that either some mosquitoes emerge from swamp or cotton bollworm is usually the predominant larval pest found during most of the growing season.', 'One may reasonably assume that if some mosquitoes emerge from swamp, then if most chimpanzees eat ants, then some metal uses in plugs.', 'Given that cotton bollworm is usually the predominant larval pest found during most of the growing season, it can be inferred that if most chimpanzees eat ants, then some metal uses in plugs.', 'Provided that it is a common misconception that if alcohol is very high in calories, then electret microphones are the most popular for aviation use, we know that female sheep tend to give birth to one lamb and sometimes twin.', 'Some people mistakenly believe that female sheep tend to give birth to one lamb and sometimes twin.', 'At least one of two things is true: moths emerge from daytime shelter, or a demilitarized zone is a zone.', "Whenever it is true that moths emerge from daytime shelter, 'formalism is a tyranny even when self-imposed, as it usually is' is true.", "The statement that 'formalism is a tyranny even when self-imposed, as it usually is' is incorrect."]
|
The claim that some metal uses in plugs does not correspond with reality. Should it be the case that a demilitarized zone is a zone, it follows that either most chimpanzees eat ants or alcohol is very high in calories. We know that either some mosquitoes emerge from swamp or cotton bollworm is usually the predominant larval pest found during most of the growing season. One may reasonably assume that if some mosquitoes emerge from swamp, then if most chimpanzees eat ants, then some metal uses in plugs. Given that cotton bollworm is usually the predominant larval pest found during most of the growing season, it can be inferred that if most chimpanzees eat ants, then some metal uses in plugs. Provided that it is a common misconception that if alcohol is very high in calories, then electret microphones are the most popular for aviation use, we know that female sheep tend to give birth to one lamb and sometimes twin. Some people mistakenly believe that female sheep tend to give birth to one lamb and sometimes twin. At least one of two things is true: moths emerge from daytime shelter, or a demilitarized zone is a zone. Whenever it is true that moths emerge from daytime shelter, 'formalism is a tyranny even when self-imposed, as it usually is' is true. The statement that 'formalism is a tyranny even when self-imposed, as it usually is' is incorrect.
|
The claim that electret microphones are the most popular for aviation use holds true.
|
The claim that electret microphones are the most popular for aviation use is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [2] or [3]. [SC1-2]
If [2], then [1]. [SC2-2]
If [3], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [7], then (Either [2] or [3].).
[7] [SC2-3]
Therefore, Either [2] or [3]..
[SC2-3]
Disjunctive Syllogism:
Either [8] or [7].
Not [8]. [SC2-4]
Therefore, [7].
[SC2-4]
Modus Tonens:
If [8], then [9].
Not [9].
Therefore, Not [8]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [2], then [1].).
If [6], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC3-2]
Modus Tonens:
If (Not (If [3], then [0].).), then [4].
Not [4].
Therefore, If [3], then [0]..
|
{0: 'Electret microphones are the most popular for aviation use.', 1: 'Some metal uses in plugs.', 2: 'Most chimpanzees eat ants.', 3: 'Alcohol is very high in calories.', 4: 'Female sheep tend to give birth to one lamb and sometimes twin.', 5: 'Some mosquitoes emerge from swamp.', 6: 'Cotton bollworm is usually the predominant larval pest found during most of the growing season.', 7: 'A demilitarized zone is a zone.', 8: 'Moths emerge from daytime shelter.', 9: 'Formalism is a tyranny even when self-imposed, as it usually is.'}
| 7 |
6,382 |
["Whenever it is true that some people mistakenly believe that if all trees have a finite life span, but the length of life depends on many factors, then graphics are images that are used in designing Web pages, 'the claim that headings are lines does not correspond with reality' is true.", "So long as older people vote more often than other age groups, 'if some people mistakenly believe that if all trees have a finite life span, but the length of life depends on many factors, then graphics are images that are used in designing Web pages, then older age is a risk factor for heart disease' is true.", 'older people vote more often than other age groups.', 'Provided that either assistants have (part) personality or a boycott is a protest, we know that headings are lines.', 'Given that the claim that if either ivory Coast is one of the world s most heavily indebted countries or amyloids are starchs, then if older age is a risk factor for heart disease, then either assistants have (part) personality or a boycott is a protest does not reflect reality, it can be inferred that severe thunderstorms can spawn tornadoes with little or no warning.', 'The statement that states severe thunderstorms can spawn tornadoes with little or no warning is false.', 'Provided that educational games are computer games, we know that either ivory Coast is one of the world s most heavily indebted countries or amyloids are starchs.', "The statement 'educational games are computer games' is true."]
|
Whenever it is true that some people mistakenly believe that if all trees have a finite life span, but the length of life depends on many factors, then graphics are images that are used in designing Web pages, 'the claim that headings are lines does not correspond with reality' is true. So long as older people vote more often than other age groups, 'if some people mistakenly believe that if all trees have a finite life span, but the length of life depends on many factors, then graphics are images that are used in designing Web pages, then older age is a risk factor for heart disease' is true. older people vote more often than other age groups. Provided that either assistants have (part) personality or a boycott is a protest, we know that headings are lines. Given that the claim that if either ivory Coast is one of the world s most heavily indebted countries or amyloids are starchs, then if older age is a risk factor for heart disease, then either assistants have (part) personality or a boycott is a protest does not reflect reality, it can be inferred that severe thunderstorms can spawn tornadoes with little or no warning. The statement that states severe thunderstorms can spawn tornadoes with little or no warning is false. Provided that educational games are computer games, we know that either ivory Coast is one of the world s most heavily indebted countries or amyloids are starchs. The statement 'educational games are computer games' is true.
|
Should it be the case that all trees have a finite life span, but the length of life depends on many factors, it follows that graphics are images that are used in designing Web pages.
|
If trees contain root nodes, then graphics are images that are used in designing Web pages.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (Not (If [0], then [1].).), then [3]. [SC1-2]
If [3], then [2]. [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [0], then [1].).), then [3].).
[4]
Therefore, If (Not (If [0], then [1].).), then [3]..
[SC2-2]
Hypothetical Syllogism:
If [3], then (Either [5] or [6].). [SC1-3]
If (Either [5] or [6].), then [2].
Therefore, If [3], then [2]..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (If [3], then (Either [5] or [6].).). [SC1-4]
Either [7] or [8]. [SC2-4]
Therefore, If [3], then (Either [5] or [6].)..
[SC1-4]
Modus Tonens:
If (Not (If (Either [7] or [8].), then (If [3], then (Either [5] or [6].).).).), then [9].
Not [9].
Therefore, If (Either [7] or [8].), then (If [3], then (Either [5] or [6].).)..
[SC2-4]
Modus Ponens:
If [10], then (Either [7] or [8].).
[10]
Therefore, Either [7] or [8]..
|
{0: 'All trees have a finite life span, but the length of life depends on many factors.', 1: 'Graphics are images that are used in designing Web pages.', 2: 'Headings are lines.', 3: 'Older age is a risk factor for heart disease.', 4: 'Older people vote more often than other age groups.', 5: 'Assistants have (part) personality.', 6: 'A boycott is a protest.', 7: 'Ivory Coast is one of the world s most heavily indebted countries.', 8: 'Amyloids are starchs.', 9: 'Severe thunderstorms can spawn tornadoes with little or no warning.', 10: 'Educational games are computer games.'}
| 7 |
6,489 |
['Should it be the case that the claim that tobacco isa stuff does not reflect reality, it follows that if olfactory organs are located on the tips of the tentacles, then vervain is known to affect the parasympathetic nervous system and stimulate uterine activity.', 'At least one of two things is true: otosclerosis can sometimes worsen in pregnancy and can sometimes run in families, or we know that the claim that if olfactory organs are located on the tips of the tentacles, then vervain is known to affect the parasympathetic nervous system and stimulate uterine activity is false.', 'Provided that values are the glue that holds an organization together, we know that either weight is the force of gravity on a body or other animals survive in habitats.', 'Once we know either weight is the force of gravity on a body or other animals survive in habitats, we also know that it is not true that otosclerosis can sometimes worsen in pregnancy and can sometimes run in families.', 'The claim that physiological research looks at the biochemical connections between the brain and the body is false.', 'The claim that animals help babies has no merit.', 'At least one of two things is true: fetishism does appear in many different shades, or meerkats are small animals and therefore like all small species, they have a high rate of predation.', 'Given that fetishism does appear in many different shades, it can be inferred that animals help babies.', 'On the condition that meerkats are small animals and therefore like all small species, they have a high rate of predation, it is definitely the case that either physiological research looks at the biochemical connections between the brain and the body or values are the glue that holds an organization together.']
|
Should it be the case that the claim that tobacco isa stuff does not reflect reality, it follows that if olfactory organs are located on the tips of the tentacles, then vervain is known to affect the parasympathetic nervous system and stimulate uterine activity. At least one of two things is true: otosclerosis can sometimes worsen in pregnancy and can sometimes run in families, or we know that the claim that if olfactory organs are located on the tips of the tentacles, then vervain is known to affect the parasympathetic nervous system and stimulate uterine activity is false. Provided that values are the glue that holds an organization together, we know that either weight is the force of gravity on a body or other animals survive in habitats. Once we know either weight is the force of gravity on a body or other animals survive in habitats, we also know that it is not true that otosclerosis can sometimes worsen in pregnancy and can sometimes run in families. The claim that physiological research looks at the biochemical connections between the brain and the body is false. The claim that animals help babies has no merit. At least one of two things is true: fetishism does appear in many different shades, or meerkats are small animals and therefore like all small species, they have a high rate of predation. Given that fetishism does appear in many different shades, it can be inferred that animals help babies. On the condition that meerkats are small animals and therefore like all small species, they have a high rate of predation, it is definitely the case that either physiological research looks at the biochemical connections between the brain and the body or values are the glue that holds an organization together.
|
The claim that tobacco isa stuff holds true.
|
The claim that tobacco isa stuff holds true.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].).
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[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 [4], then (Not [3].). [SC1-3]
[4] [SC2-3]
Therefore, Not [3]..
[SC1-3]
Hypothetical Syllogism:
If [4], then (Either [6] or [7].).
If (Either [6] or [7].), then (Not [3].).
Therefore, If [4], then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or [4]. [SC1-4]
Not [5].
Therefore, [4].
[SC1-4]
Disjunctive Syllogism:
Either [8] or (Either [5] or [4].). [SC1-5]
Not [8].
Therefore, Either [5] or [4]..
[SC1-5]
Constructive Dilemma:
Either [9] or [10].
If [9], then [8].
If [10], then (Either [5] or [4].).
Therefore, Either [8] or (Either [5] or [4].)..
|
{0: 'Tobacco isa stuff.', 1: 'Olfactory organs are located on the tips of the tentacles.', 2: 'Vervain is known to affect the parasympathetic nervous system and stimulate uterine activity.', 3: 'Otosclerosis can sometimes worsen in pregnancy and can sometimes run in families.', 4: 'Values are the glue that holds an organization together.', 5: 'Physiological research looks at the biochemical connections between the brain and the body.', 6: 'Weight is the force of gravity on a body.', 7: 'Other animals survive in habitats.', 8: 'Animals help babies.', 9: 'Fetishism does appear in many different shades.', 10: 'Meerkats are small animals and therefore like all small species, they have a high rate of predation.'}
| 7 |
6,513 |
["Once we know it is a common misconception that if the statement that 'javan rhinoceroses have lips' is incorrect, then the claim that arboreal squirrels have hind limbs does not correspond with reality, we also know that if workers are workers the world over, then science applies methods.", "It is rational to believe that either plungers have (part) arms or double pneumonia is 'a fairly serious disease which can cause complications.", "If double pneumonia is 'a fairly serious disease which can cause complications, then if fuel contains compounds, then if the statement that 'javan rhinoceroses have lips' is incorrect, then arboreal squirrels have hind limbs.", 'Either some theories explain energy or behavioural competencies are the traits, attitudes, motives and values a person demonstrates.', "Whenever it is true that some theories explain energy, 'fuel contains compounds' is true.", "So long as behavioural competencies are the traits, attitudes, motives and values a person demonstrates, 'fuel contains compounds' is true.", 'One may reasonably assume that if if workers are workers the world over, then science applies methods, then color depends on factors.', 'When if workers are workers the world over, then science applies methods is true, it follows that it is a common misconception that color depends on factors.', "When prokaryotes provide several analogous examples is true, it follows that if plungers have (part) arms, then if fuel contains compounds, then if the statement that 'javan rhinoceroses have lips' is incorrect, then arboreal squirrels have hind limbs.", 'The idea that prokaryotes provide several analogous examples is true.']
|
Once we know it is a common misconception that if the statement that 'javan rhinoceroses have lips' is incorrect, then the claim that arboreal squirrels have hind limbs does not correspond with reality, we also know that if workers are workers the world over, then science applies methods. It is rational to believe that either plungers have (part) arms or double pneumonia is 'a fairly serious disease which can cause complications. If double pneumonia is 'a fairly serious disease which can cause complications, then if fuel contains compounds, then if the statement that 'javan rhinoceroses have lips' is incorrect, then arboreal squirrels have hind limbs. Either some theories explain energy or behavioural competencies are the traits, attitudes, motives and values a person demonstrates. Whenever it is true that some theories explain energy, 'fuel contains compounds' is true. So long as behavioural competencies are the traits, attitudes, motives and values a person demonstrates, 'fuel contains compounds' is true. One may reasonably assume that if if workers are workers the world over, then science applies methods, then color depends on factors. When if workers are workers the world over, then science applies methods is true, it follows that it is a common misconception that color depends on factors. When prokaryotes provide several analogous examples is true, it follows that if plungers have (part) arms, then if fuel contains compounds, then if the statement that 'javan rhinoceroses have lips' is incorrect, then arboreal squirrels have hind limbs. The idea that prokaryotes provide several analogous examples is true.
|
We can assume that javan rhinoceroses have lips.
|
We can assume that javan rhinoceroses have lips.
|
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 [4], then (If (Not [0].), then [1].). [SC1-2]
[4] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (If (Not [0].), then [1].).). [SC2-3]
If [6], then (If [4], then (If (Not [0].), then [1].).).
Therefore, If [4], then (If (Not [0].), then [1].)..
[SC2-3]
Modus Ponens:
If [10], then (If [5], then (If [4], then (If (Not [0].), then [1].).).).
[10]
Therefore, If [5], then (If [4], then (If (Not [0].), then [1].).)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then [4].
If [9], then [4].
Therefore, [4].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (If [2], then [3].), then [7].
If (If [2], then [3].), then (Not [7].).
Therefore, Not (If [2], then [3].)..
|
{0: 'Javan rhinoceroses have lips.', 1: 'Arboreal squirrels have hind limbs.', 2: 'Workers are workers the world over.', 3: 'Science applies methods.', 4: 'Fuel contains compounds.', 5: 'Plungers have (part) arms.', 6: "Double pneumonia is 'a fairly serious disease which can cause complications.", 7: 'Color depends on factors.', 8: 'Some theories explain energy.', 9: 'Behavioural competencies are the traits, attitudes, motives and values a person demonstrates.', 10: 'Prokaryotes provide several analogous examples.'}
| 7 |
6,780 |
["So long as the statement, root cutting from lemon, tamarind, etc also develop roots and shoots when planted in a moist soil, does not hold, 'most alpine plants survive climates' is true.", 'At least one of two things is true: every system is made up of cells, the basic building blocks of multicellular life, or it is a common misconception that most alpine plants survive climates.', "The notion that 'european polecats emit secretion' is untrue.", 'Once we know it is not true that either european polecats emit secretion or the statement, every system is made up of cells, the basic building blocks of multicellular life, does not hold, we also know that the claim that if a passive resister is a person, then misery is read on the faces, in clothing, the absence of dental care, damaged hands has no merit.', "So long as apple cider vinegar contains acid, 'if it is not true that either european polecats emit secretion or the statement, every system is made up of cells, the basic building blocks of multicellular life, does not hold, then if a passive resister is a person, then misery is read on the faces, in clothing, the absence of dental care, damaged hands' is true.", 'At least one of two things is true: quantity surveyors have skills, or reduction is the opposite of oxidation .', 'Provided that quantity surveyors have skills, we know that apple cider vinegar contains acid.', "So long as laceration is a tear, 'if reduction is the opposite of oxidation , then apple cider vinegar contains acid' is true.", "The statement 'laceration is a tear' is true."]
|
So long as the statement, root cutting from lemon, tamarind, etc also develop roots and shoots when planted in a moist soil, does not hold, 'most alpine plants survive climates' is true. At least one of two things is true: every system is made up of cells, the basic building blocks of multicellular life, or it is a common misconception that most alpine plants survive climates. The notion that 'european polecats emit secretion' is untrue. Once we know it is not true that either european polecats emit secretion or the statement, every system is made up of cells, the basic building blocks of multicellular life, does not hold, we also know that the claim that if a passive resister is a person, then misery is read on the faces, in clothing, the absence of dental care, damaged hands has no merit. So long as apple cider vinegar contains acid, 'if it is not true that either european polecats emit secretion or the statement, every system is made up of cells, the basic building blocks of multicellular life, does not hold, then if a passive resister is a person, then misery is read on the faces, in clothing, the absence of dental care, damaged hands' is true. At least one of two things is true: quantity surveyors have skills, or reduction is the opposite of oxidation . Provided that quantity surveyors have skills, we know that apple cider vinegar contains acid. So long as laceration is a tear, 'if reduction is the opposite of oxidation , then apple cider vinegar contains acid' is true. The statement 'laceration is a tear' is true.
|
It is reasonable to believe that root cutting from lemon, tamarind, etc also develop roots and shoots when planted in a moist soil.
|
The statement that 'root cutting from lemon, tamarind, etc also develop roots and shoots when planted in a moist soil' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].).
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-3]
Not [3].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [3] or (Not [2].).).), then (If [4], then [5].). [SC1-4]
If (Not (Either [3] or (Not [2].).).), then (Not (If [4], then [5].).).
Therefore, Either [3] or (Not [2].)..
[SC1-4]
Modus Ponens:
If [6], then (If (Not (Either [3] or (Not [2].).).), then (If [4], then [5].).).
[6] [SC2-5]
Therefore, If (Not (Either [3] or (Not [2].).).), then (If [4], then [5].)..
[SC2-5]
Disjunction Elimination:
Either [7] or [8].
If [7], then [6].
If [8], then [6]. [SC3-6]
Therefore, [6].
[SC3-6]
Modus Ponens:
If [9], then (If [8], then [6].).
[9]
Therefore, If [8], then [6]..
|
{0: 'Root cutting from lemon, tamarind, etc also develop roots and shoots when planted in a moist soil.', 1: 'Most alpine plants survive climates.', 2: 'Every system is made up of cells, the basic building blocks of multicellular life.', 3: 'European polecats emit secretion.', 4: 'A passive resister is a person.', 5: 'Misery is read on the faces, in clothing, the absence of dental care, damaged hands.', 6: 'Apple cider vinegar contains acid.', 7: 'Quantity surveyors have skills.', 8: 'Reduction is the opposite of oxidation .', 9: 'Laceration is a tear.'}
| 7 |
6,904 |
['The claim that flatulence are recorded in men and women sensitive to spirulina does not reflect reality.', 'Provided that if strong winds are detrimental to the development hurricanes from thunderstorm complexes, then frontal vision predominates, we know that if some soil compaction reduces root growth, then if the statement that states either squirrels want nests or doctors describe types is false, then flatulence are recorded in men and women sensitive to spirulina.', 'On the condition that strong winds are detrimental to the development hurricanes from thunderstorm complexes, it is definitely the case that frontal vision predominates.', 'Many people rightly believe that music is what conditions the soul.', "So long as it is not true that if it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, then strong evidence exists tying estrogen exposure to breast cancer , 'many animals correspond to more than one element' is true.", 'If it is not true that if it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, then strong evidence exists tying estrogen exposure to breast cancer , then it is not the case that many animals correspond to more than one element.', 'On the condition that it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, it is definitely the case that internets are used for communicates.', 'One may reasonably assume that if internets are used for communicates, then it is not true that strong evidence exists tying estrogen exposure to breast cancer .']
|
The claim that flatulence are recorded in men and women sensitive to spirulina does not reflect reality. Provided that if strong winds are detrimental to the development hurricanes from thunderstorm complexes, then frontal vision predominates, we know that if some soil compaction reduces root growth, then if the statement that states either squirrels want nests or doctors describe types is false, then flatulence are recorded in men and women sensitive to spirulina. On the condition that strong winds are detrimental to the development hurricanes from thunderstorm complexes, it is definitely the case that frontal vision predominates. Many people rightly believe that music is what conditions the soul. So long as it is not true that if it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, then strong evidence exists tying estrogen exposure to breast cancer , 'many animals correspond to more than one element' is true. If it is not true that if it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, then strong evidence exists tying estrogen exposure to breast cancer , then it is not the case that many animals correspond to more than one element. On the condition that it is not the case that if music is what conditions the soul, then some soil compaction reduces root growth, it is definitely the case that internets are used for communicates. One may reasonably assume that if internets are used for communicates, then it is not true that strong evidence exists tying estrogen exposure to breast cancer .
|
There is good reason to believe that either squirrels want nests or doctors describe types.
|
The claim that either squirrels want nests or doctors describe types does not correspond with reality.
|
FALSE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2].
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (If (Not (Either [0] or [1].).), then [2].). [SC1-2]
[3] [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If [3], then (If (Not (Either [0] or [1].).), then [2].).).
If [4], then [5].
Therefore, If [3], then (If (Not (Either [0] or [1].).), then [2].)..
[SC2-2]
Modus Ponens:
If [6], then [3]. [SC1-3]
[6]
Therefore, [3].
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [6], then [3].).), then [7]. [SC1-4]
If (Not (If [6], then [3].).), then (Not [7].). [SC2-4]
Therefore, If [6], then [3]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Not (If [6], then [3].).), then [7].).), then [8].
If (Not (If (Not (If [6], then [3].).), then [7].).), then (Not [8].).
Therefore, If (Not (If [6], then [3].).), then [7]..
[SC2-4]
Hypothetical Syllogism:
If (Not (If [6], then [3].).), then [9].
If [9], then (Not [7].).
Therefore, If (Not (If [6], then [3].).), then (Not [7].)..
|
{0: 'Squirrels want nests.', 1: 'Doctors describe types.', 2: 'Flatulence are recorded in men and women sensitive to spirulina.', 3: 'Some soil compaction reduces root growth.', 4: 'Strong winds are detrimental to the development hurricanes from thunderstorm complexes.', 5: 'Frontal vision predominates.', 6: 'Music is what conditions the soul.', 7: 'Strong evidence exists tying estrogen exposure to breast cancer .', 8: 'Many animals correspond to more than one element.', 9: 'Internets are used for communicates.'}
| 7 |
6,122 |
['If if biological theories describe neurochemical linkage to violent behavior, then condoms can also prolong sex, then either safety shoes provide protection against objects falling on the foot, and impact or gorgonian Fans follow the steep ridge to the depths of the Indian Ocean.', "Whenever it is true that biological theories describe neurochemical linkage to violent behavior, 'condoms can also prolong sex' is true.", 'Assuming clippings are a common cause of poisoning in horses, we know that if safety shoes provide protection against objects falling on the foot, and impact, then some snakes have necks.', "Assuming the statement 'if gorgonian Fans follow the steep ridge to the depths of the Indian Ocean, then some snakes have necks' can be considered false, we know that some bloodroots have plant emergence.", "Once we know the statement 'if gorgonian Fans follow the steep ridge to the depths of the Indian Ocean, then some snakes have necks' can be considered false, we also know that the statement 'some bloodroots have plant emergence' can be considered false.", 'Either love grows attachment, often severed in tangable form, but last forever in spirit and heart or humans exhibit four characteristic types of eye motion.', 'If love grows attachment, often severed in tangable form, but last forever in spirit and heart, then either if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images or clippings are a common cause of poisoning in horses.', 'Should it be the case that humans exhibit four characteristic types of eye motion, it follows that either if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images or clippings are a common cause of poisoning in horses.', 'Assuming if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images, we know that if recriminations are accusations, then mummification is no longer a practice in Egypt.', 'It is not the case that if recriminations are accusations, then mummification is no longer a practice in Egypt.']
|
If if biological theories describe neurochemical linkage to violent behavior, then condoms can also prolong sex, then either safety shoes provide protection against objects falling on the foot, and impact or gorgonian Fans follow the steep ridge to the depths of the Indian Ocean. Whenever it is true that biological theories describe neurochemical linkage to violent behavior, 'condoms can also prolong sex' is true. Assuming clippings are a common cause of poisoning in horses, we know that if safety shoes provide protection against objects falling on the foot, and impact, then some snakes have necks. Assuming the statement 'if gorgonian Fans follow the steep ridge to the depths of the Indian Ocean, then some snakes have necks' can be considered false, we know that some bloodroots have plant emergence. Once we know the statement 'if gorgonian Fans follow the steep ridge to the depths of the Indian Ocean, then some snakes have necks' can be considered false, we also know that the statement 'some bloodroots have plant emergence' can be considered false. Either love grows attachment, often severed in tangable form, but last forever in spirit and heart or humans exhibit four characteristic types of eye motion. If love grows attachment, often severed in tangable form, but last forever in spirit and heart, then either if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images or clippings are a common cause of poisoning in horses. Should it be the case that humans exhibit four characteristic types of eye motion, it follows that either if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images or clippings are a common cause of poisoning in horses. Assuming if water is our most important mineral resource, then vesicular copies reverse the polarity of the original, so they have positive-appearing images, we know that if recriminations are accusations, then mummification is no longer a practice in Egypt. It is not the case that if recriminations are accusations, then mummification is no longer a practice in Egypt.
|
The statement that states some snakes have necks is right.
|
Snakes rely more on their sensitivity to smells and vibrations to detect prey and danger.
|
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 Ponens:
If (If [5], then [6].), then (Either [1] or [2].).
If [5], then [6].
Therefore, Either [1] or [2]..
[SC2-1]
Modus Ponens:
If [4], then (If [1], then [0].).
[4] [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either (If [7], then [8].) or [4]. [SC1-3]
Not (If [7], then [8].). [SC2-3]
Therefore, [4].
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Either (If [7], then [8].) or [4].).
If [10], then (Either (If [7], then [8].) or [4].).
Therefore, Either (If [7], then [8].) or [4]..
[SC2-3]
Modus Tonens:
If (If [7], then [8].), then (If [11], then [12].).
Not (If [11], then [12].).
Therefore, Not (If [7], then [8].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3].
If (Not (If [2], then [0].).), then (Not [3].).
Therefore, If [2], then [0]..
|
{0: 'Some snakes have necks.', 1: 'Safety shoes provide protection against objects falling on the foot, and impact.', 2: 'Gorgonian Fans follow the steep ridge to the depths of the Indian Ocean.', 3: 'Some bloodroots have plant emergence.', 4: 'Clippings are a common cause of poisoning in horses.', 5: 'Biological theories describe neurochemical linkage to violent behavior.', 6: 'Condoms can also prolong sex.', 7: 'Water is our most important mineral resource.', 8: 'Vesicular copies reverse the polarity of the original, so they have positive-appearing images.', 9: 'Love grows attachment, often severed in tangable form, but last forever in spirit and heart.', 10: 'Humans exhibit four characteristic types of eye motion.', 11: 'Recriminations are accusations.', 12: 'Mummification is no longer a practice in Egypt.'}
| 7 |
6,946 |
['There is good reason to believe that either official immunity is discharge or if either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, then either tall cages are especially important if the parrot has long tail feathers or bisexuals are promiscuous hypersexual swingers who are attracted to every woman and man they meet.', 'Some people mistakenly believe that official immunity is discharge.', 'If it is not the case that either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, then arsonists usually use gasoline or kerosene to start a fire .', "So long as it is not the case that either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, 'the statement that 'arsonists usually use gasoline or kerosene to start a fire ' is incorrect' is true.", 'Once we know residence halls are more than just dormitories or places to eat and sleep, we also know that if tall cages are especially important if the parrot has long tail feathers, then some people use the tarot card as a tool of learning, to gain a new perspective or idea.', 'residence halls are more than just dormitories or places to eat and sleep.', "So long as some people use the tarot card as a tool of learning, to gain a new perspective or idea, 'gypsy moths can also feed on apple, alder, birch, poplar and willow trees' is true.", "So long as some people use the tarot card as a tool of learning, to gain a new perspective or idea, 'it is not the case that gypsy moths can also feed on apple, alder, birch, poplar and willow trees' is true."]
|
There is good reason to believe that either official immunity is discharge or if either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, then either tall cages are especially important if the parrot has long tail feathers or bisexuals are promiscuous hypersexual swingers who are attracted to every woman and man they meet. Some people mistakenly believe that official immunity is discharge. If it is not the case that either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, then arsonists usually use gasoline or kerosene to start a fire . So long as it is not the case that either bones work with muscles to move, protect, and support sensitive internal organs or creativity involves risk-taking and going against the norm, and sometimes that means failure, 'the statement that 'arsonists usually use gasoline or kerosene to start a fire ' is incorrect' is true. Once we know residence halls are more than just dormitories or places to eat and sleep, we also know that if tall cages are especially important if the parrot has long tail feathers, then some people use the tarot card as a tool of learning, to gain a new perspective or idea. residence halls are more than just dormitories or places to eat and sleep. So long as some people use the tarot card as a tool of learning, to gain a new perspective or idea, 'gypsy moths can also feed on apple, alder, birch, poplar and willow trees' is true. So long as some people use the tarot card as a tool of learning, to gain a new perspective or idea, 'it is not the case that gypsy moths can also feed on apple, alder, birch, poplar and willow trees' is true.
|
The statement 'bisexuals are promiscuous hypersexual swingers who are attracted to every woman and man they meet' can be considered true.
|
The claim that bisexuals are promiscuous hypersexual swingers who are attracted to every woman and man they meet does not correspond with reality.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If (Either [2] or [3].), then (Either [1] or [0].). [SC1-2]
Either [2] or [3]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Either [2] or [3].), then (Either [1] or [0].).).
Not [6].
Therefore, If (Either [2] or [3].), then (Either [1] or [0].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [8].
If (Not (Either [2] or [3].).), then (Not [8].).
Therefore, Either [2] or [3]..
[SC2-1]
Modus Tonens:
If [1], then [4]. [SC1-2]
Not [4]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [7], then (If [1], then [4].).
[7]
Therefore, If [1], then [4]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
|
{0: 'Bisexuals are promiscuous hypersexual swingers who are attracted to every woman and man they meet.', 1: 'Tall cages are especially important if the parrot has long tail feathers.', 2: 'Bones work with muscles to move, protect, and support sensitive internal organs.', 3: 'Creativity involves risk-taking and going against the norm, and sometimes that means failure.', 4: 'Some people use the tarot card as a tool of learning, to gain a new perspective or idea.', 5: 'Gypsy moths can also feed on apple, alder, birch, poplar and willow trees.', 6: 'Official immunity is discharge.', 7: 'Residence halls are more than just dormitories or places to eat and sleep.', 8: 'Arsonists usually use gasoline or kerosene to start a fire .'}
| 7 |
6,060 |
['We know that at least one of two things is true: either many elements have a different isotopic composition in some nonterrestrial materials or some people believe that poker players try to improve their luck by rubbing the hump of a hunchback, or animals love doing tricks.', "So long as if dance music is music, then quantifier isa word, 'it is not true that either many elements have a different isotopic composition in some nonterrestrial materials or some people believe that poker players try to improve their luck by rubbing the hump of a hunchback' is true.", 'There is good reason to believe that either organic matter holds more water and nutrients than any other soil constituent or if dance music is music, then quantifier isa word.', 'It is rational to agree that some diets consist of debris.', 'Given that houseflies have (part) flight feathers, it can be inferred that either if banana slugs get their name by from their elongated yellow bodies, then blackbody radiation is produced by an object which is a perfect absorber of heat or if some diets consist of debris, then the statement, organic matter holds more water and nutrients than any other soil constituent, does not hold.', 'It is rational to agree that houseflies have (part) flight feathers.', 'At least one of two things is true: adults have thicken lips, or the statement, if banana slugs get their name by from their elongated yellow bodies, then blackbody radiation is produced by an object which is a perfect absorber of heat, does not hold.', 'Those that suggest adults have thicken lips are wrong.']
|
We know that at least one of two things is true: either many elements have a different isotopic composition in some nonterrestrial materials or some people believe that poker players try to improve their luck by rubbing the hump of a hunchback, or animals love doing tricks. So long as if dance music is music, then quantifier isa word, 'it is not true that either many elements have a different isotopic composition in some nonterrestrial materials or some people believe that poker players try to improve their luck by rubbing the hump of a hunchback' is true. There is good reason to believe that either organic matter holds more water and nutrients than any other soil constituent or if dance music is music, then quantifier isa word. It is rational to agree that some diets consist of debris. Given that houseflies have (part) flight feathers, it can be inferred that either if banana slugs get their name by from their elongated yellow bodies, then blackbody radiation is produced by an object which is a perfect absorber of heat or if some diets consist of debris, then the statement, organic matter holds more water and nutrients than any other soil constituent, does not hold. It is rational to agree that houseflies have (part) flight feathers. At least one of two things is true: adults have thicken lips, or the statement, if banana slugs get their name by from their elongated yellow bodies, then blackbody radiation is produced by an object which is a perfect absorber of heat, does not hold. Those that suggest adults have thicken lips are wrong.
|
It is a simple truth that animals love doing tricks.
|
Those that suggest animals love doing tricks are wrong.
|
FALSE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0].
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If (If [3], then [4].), then (Not (Either [1] or [2].).).
If [3], then [4]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [3], then [4].).
Not [5]. [SC2-3]
Therefore, If [3], then [4]..
[SC2-3]
Modus Ponens:
If [6], then (Not [5].). [SC1-4]
[6]
Therefore, Not [5]..
[SC1-4]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [6], then (Not [5].).). [SC1-5]
Not (If [7], then [8].). [SC2-5]
Therefore, If [6], then (Not [5].)..
[SC1-5]
Modus Ponens:
If [10], then (Either (If [7], then [8].) or (If [6], then (Not [5].).).).
[10]
Therefore, Either (If [7], then [8].) or (If [6], then (Not [5].).)..
[SC2-5]
Disjunctive Syllogism:
Either [9] or (Not (If [7], then [8].).).
Not [9].
Therefore, Not (If [7], then [8].)..
|
{0: 'Animals love doing tricks.', 1: 'Many elements have a different isotopic composition in some nonterrestrial materials.', 2: 'Some people believe that poker players try to improve their luck by rubbing the hump of a hunchback.', 3: 'Dance music is music.', 4: 'Quantifier isa word.', 5: 'Organic matter holds more water and nutrients than any other soil constituent.', 6: 'Some diets consist of debris.', 7: 'Banana slugs get their name by from their elongated yellow bodies.', 8: 'Blackbody radiation is produced by an object which is a perfect absorber of heat.', 9: 'Adults have thicken lips.', 10: 'Houseflies have (part) flight feathers.'}
| 7 |
6,844 |
['The statement that states latvia isa thing is false.', "Whenever it is true that either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks, 'latvia isa thing' is true.", 'Provided that output is divided between capital income and labor income, we know that if automobile accidents are the most common cause of serious morbidity and mortality in tourists, then either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks.', 'Either one or both of these statements are true: millipedes often coil up when threatened, or docs have (part) plasma membranes.', 'Should it be the case that the statement that states if if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs, then if automobile accidents are the most common cause of serious morbidity and mortality in tourists, then either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks is false, it follows that answers have important consequences.', "Once we know the statement that 'if either millipedes often coil up when threatened or docs have (part) plasma membranes, then either if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs or output is divided between capital income and labor income' is incorrect, we also know that every state has a public health or education agency serving children with special needs.", "Assuming the statement that 'if either millipedes often coil up when threatened or docs have (part) plasma membranes, then either if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs or output is divided between capital income and labor income' is incorrect, we know that we know that the claim that every state has a public health or education agency serving children with special needs is false.", "So long as answers have important consequences, 'either rubber stamps are used for marking or caffeine can raise blood pressure and the heart rate temporarily' is true.", 'The claim that either rubber stamps are used for marking or caffeine can raise blood pressure and the heart rate temporarily has no merit.']
|
The statement that states latvia isa thing is false. Whenever it is true that either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks, 'latvia isa thing' is true. Provided that output is divided between capital income and labor income, we know that if automobile accidents are the most common cause of serious morbidity and mortality in tourists, then either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks. Either one or both of these statements are true: millipedes often coil up when threatened, or docs have (part) plasma membranes. Should it be the case that the statement that states if if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs, then if automobile accidents are the most common cause of serious morbidity and mortality in tourists, then either lichens are also of great use to ecologists or mice can have a new litter of babies every three weeks is false, it follows that answers have important consequences. Once we know the statement that 'if either millipedes often coil up when threatened or docs have (part) plasma membranes, then either if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs or output is divided between capital income and labor income' is incorrect, we also know that every state has a public health or education agency serving children with special needs. Assuming the statement that 'if either millipedes often coil up when threatened or docs have (part) plasma membranes, then either if manufacturing is the second largest foreign exchange earner, then bluebirds eat grubs or output is divided between capital income and labor income' is incorrect, we know that we know that the claim that every state has a public health or education agency serving children with special needs is false. So long as answers have important consequences, 'either rubber stamps are used for marking or caffeine can raise blood pressure and the heart rate temporarily' is true. The claim that either rubber stamps are used for marking or caffeine can raise blood pressure and the heart rate temporarily has no merit.
|
It is not the case that automobile accidents are the most common cause of serious morbidity and mortality in tourists.
|
We know that the claim that automobile accidents can affect people physically, financially and emotionally is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then (Either [2] or [3].). [SC1-2]
If (Either [2] or [3].), then [1].
Therefore, If [0], then [1]..
[SC1-2]
Disjunction Elimination:
Either (If [4], then [5].) or [6]. [SC1-3]
If (If [4], then [5].), then (If [0], then (Either [2] or [3].).). [SC2-3]
If [6], then (If [0], then (Either [2] or [3].).).
Therefore, If [0], then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (Either (If [4], then [5].) or [6].). [SC1-4]
Either [8] or [9].
Therefore, Either (If [4], then [5].) or [6]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If (Either [8] or [9].), then (Either (If [4], then [5].) or [6].).).), then [12].
If (Not (If (Either [8] or [9].), then (Either (If [4], then [5].) or [6].).).), then (Not [12].).
Therefore, If (Either [8] or [9].), then (Either (If [4], then [5].) or [6].)..
[SC2-3]
Modus Tonens:
If (Not (If (If [4], then [5].), then (If [0], then (Either [2] or [3].).).).), then [7].
Not [7]. [SC2-4]
Therefore, If (If [4], then [5].), then (If [0], then (Either [2] or [3].).)..
[SC2-4]
Modus Tonens:
If [7], then (Either [10] or [11].).
Not (Either [10] or [11].).
Therefore, Not [7]..
|
{0: 'Automobile accidents are the most common cause of serious morbidity and mortality in tourists.', 1: 'Latvia isa thing.', 2: 'Lichens are also of great use to ecologists.', 3: 'Mice can have a new litter of babies every three weeks.', 4: 'Manufacturing is the second largest foreign exchange earner.', 5: 'Bluebirds eat grubs.', 6: 'Output is divided between capital income and labor income.', 7: 'Answers have important consequences.', 8: 'Millipedes often coil up when threatened.', 9: 'Docs have (part) plasma membranes.', 10: 'Rubber stamps are used for marking.', 11: 'Caffeine can raise blood pressure and the heart rate temporarily.', 12: 'Every state has a public health or education agency serving children with special needs.'}
| 7 |
6,372 |
['We know that either some bacteria absorb phosphates for metabolism, so when they die, the phosphates are used by plants or dormancy is a natural survival mechanism of the turf plants.', 'Assuming it is not true that if some bacteria absorb phosphates for metabolism, so when they die, the phosphates are used by plants, then brassavolas grow well in warm to intermediate climates, we know that chronic backache is the number one reason for early retirement in every industrial country.', 'Either if steppes are virtually semi-arid deserts in the making, and are highly threatened by overgrazing, then landscapings are located in universities or nations experience disasters.', 'Should it be the case that if steppes are virtually semi-arid deserts in the making, and are highly threatened by overgrazing, then landscapings are located in universities, it follows that if dormancy is a natural survival mechanism of the turf plants, then brassavolas grow well in warm to intermediate climates.', 'We know that either hyenas typically take unenclosed livestock at night or it is a common misconception that chronic backache is the number one reason for early retirement in every industrial country.', 'Those that suggest hyenas typically take unenclosed livestock at night are wrong.', 'When the statement, if nations experience disasters, then if dormancy is a natural survival mechanism of the turf plants, then brassavolas grow well in warm to intermediate climates, does not hold is true, it follows that if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc.', "So long as if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc, 'preachers preach and teach with little or no study' is true.", 'If parasympathetic cells occur in the lowermost or sacral spinal cord, then if if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc, then those that suggest preachers preach and teach with little or no study are wrong.', 'parasympathetic cells occur in the lowermost or sacral spinal cord.']
|
We know that either some bacteria absorb phosphates for metabolism, so when they die, the phosphates are used by plants or dormancy is a natural survival mechanism of the turf plants. Assuming it is not true that if some bacteria absorb phosphates for metabolism, so when they die, the phosphates are used by plants, then brassavolas grow well in warm to intermediate climates, we know that chronic backache is the number one reason for early retirement in every industrial country. Either if steppes are virtually semi-arid deserts in the making, and are highly threatened by overgrazing, then landscapings are located in universities or nations experience disasters. Should it be the case that if steppes are virtually semi-arid deserts in the making, and are highly threatened by overgrazing, then landscapings are located in universities, it follows that if dormancy is a natural survival mechanism of the turf plants, then brassavolas grow well in warm to intermediate climates. We know that either hyenas typically take unenclosed livestock at night or it is a common misconception that chronic backache is the number one reason for early retirement in every industrial country. Those that suggest hyenas typically take unenclosed livestock at night are wrong. When the statement, if nations experience disasters, then if dormancy is a natural survival mechanism of the turf plants, then brassavolas grow well in warm to intermediate climates, does not hold is true, it follows that if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc. So long as if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc, 'preachers preach and teach with little or no study' is true. If parasympathetic cells occur in the lowermost or sacral spinal cord, then if if lions possess bodies, then yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc, then those that suggest preachers preach and teach with little or no study are wrong. parasympathetic cells occur in the lowermost or sacral spinal cord.
|
It is a simple truth that brassavolas grow well in warm to intermediate climates.
|
The claim that brassavolas grow well in warm to intermediate climates does not correspond with reality.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [3].
Not [3]. [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (Not [3].).
Not [7].
Therefore, Not [3]..
[SC3-1]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then (If [2], then [0].).
If [6], then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC3-2]
Modus Tonens:
If (Not (If [6], then (If [2], then [0].).).), then (If [8], then [9].).
Not (If [8], then [9].). [SC2-3]
Therefore, If [6], then (If [2], then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (If [8], then [9].), then [10].
If (If [8], then [9].), then (Not [10].). [SC2-4]
Therefore, Not (If [8], then [9].)..
[SC2-4]
Modus Ponens:
If [11], then (If (If [8], then [9].), then (Not [10].).).
[11]
Therefore, If (If [8], then [9].), then (Not [10].)..
|
{0: 'Brassavolas grow well in warm to intermediate climates.', 1: 'Some bacteria absorb phosphates for metabolism, so when they die, the phosphates are used by plants.', 2: 'Dormancy is a natural survival mechanism of the turf plants.', 3: 'Chronic backache is the number one reason for early retirement in every industrial country.', 4: 'Steppes are virtually semi-arid deserts in the making, and are highly threatened by overgrazing.', 5: 'Landscapings are located in universities.', 6: 'Nations experience disasters.', 7: 'Hyenas typically take unenclosed livestock at night.', 8: 'Lions possess bodies.', 9: 'Yoga helps in controlling stress, depression, over anxiety, sleeplessness, etc.', 10: 'Preachers preach and teach with little or no study.', 11: 'Parasympathetic cells occur in the lowermost or sacral spinal cord.'}
| 7 |
6,283 |
['Either autotrophs are eaten by herbivores, organisms that consume plants or it is a common misconception that puffins have (part) rib cages.', "The statement 'autotrophs are eaten by herbivores, organisms that consume plants' can be considered false.", "So long as it is not true that if the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false, then either lupus affects women much more commonly than men or sheep show ability, 'the claim that if flies are one of the most diverse groups of insects, then an onychophoran is an arthropod does not reflect reality' is true.", 'When the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false is true, it follows that mustards are generally tissue irritants with additional systemic effects.', 'Should it be the case that either physical sex is the most important part of marriage or individuals carry female sex organs, it follows that if it is not true that if the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false, then either lupus affects women much more commonly than men or sheep show ability, then if flies are one of the most diverse groups of insects, then an onychophoran is an arthropod.', 'Either one or both of these statements are true: physical sex is the most important part of marriage, or individuals carry female sex organs.', 'At least one of two things is true: ear candles are hollow cones about ten to eleven inches long, or most vegetarian diets tend to be high in bulk and low in fat.', 'When ear candles are hollow cones about ten to eleven inches long is true, it follows that if mustards are generally tissue irritants with additional systemic effects, then the claim that either lupus affects women much more commonly than men or sheep show ability is false.', 'Assuming most vegetarian diets tend to be high in bulk and low in fat, we know that if mustards are generally tissue irritants with additional systemic effects, then the claim that either lupus affects women much more commonly than men or sheep show ability is false.']
|
Either autotrophs are eaten by herbivores, organisms that consume plants or it is a common misconception that puffins have (part) rib cages. The statement 'autotrophs are eaten by herbivores, organisms that consume plants' can be considered false. So long as it is not true that if the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false, then either lupus affects women much more commonly than men or sheep show ability, 'the claim that if flies are one of the most diverse groups of insects, then an onychophoran is an arthropod does not reflect reality' is true. When the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false is true, it follows that mustards are generally tissue irritants with additional systemic effects. Should it be the case that either physical sex is the most important part of marriage or individuals carry female sex organs, it follows that if it is not true that if the statement that states either puffins have (part) rib cages or we know that the claim that eagles also feed on carrion is false is false, then either lupus affects women much more commonly than men or sheep show ability, then if flies are one of the most diverse groups of insects, then an onychophoran is an arthropod. Either one or both of these statements are true: physical sex is the most important part of marriage, or individuals carry female sex organs. At least one of two things is true: ear candles are hollow cones about ten to eleven inches long, or most vegetarian diets tend to be high in bulk and low in fat. When ear candles are hollow cones about ten to eleven inches long is true, it follows that if mustards are generally tissue irritants with additional systemic effects, then the claim that either lupus affects women much more commonly than men or sheep show ability is false. Assuming most vegetarian diets tend to be high in bulk and low in fat, we know that if mustards are generally tissue irritants with additional systemic effects, then the claim that either lupus affects women much more commonly than men or sheep show ability is false.
|
We know that the claim that eagles also feed on carrion is false.
|
Eagles also feed on carrion.
|
FALSE
|
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 (Either [2] or [3].). [SC1-2]
If (Not (Either [1] or (Not [0].).).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).).), then (If [6], then [7].). [SC1-3]
If (Not (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).).), then (Not (If [6], then [7].).).
Therefore, If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If (Either [10] or [11].), then (If (Not (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).).), then (If [6], then [7].).).
Either [10] or [11].
Therefore, If (Not (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).).), then (If [6], then [7].)..
[SC2-2]
Hypothetical Syllogism:
If (Not (Either [1] or (Not [0].).).), then [5].
If [5], then (Not (Either [2] or [3].).). [SC2-3]
Therefore, If (Not (Either [1] or (Not [0].).).), then (Not (Either [2] or [3].).)..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [5], then (Not (Either [2] or [3].).).).
If [9], then (If [5], then (Not (Either [2] or [3].).).).
Therefore, If [5], then (Not (Either [2] or [3].).)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].).
Not [4].
Therefore, Not [1]..
|
{0: 'Eagles also feed on carrion.', 1: 'Puffins have (part) rib cages.', 2: 'Lupus affects women much more commonly than men.', 3: 'Sheep show ability.', 4: 'Autotrophs are eaten by herbivores, organisms that consume plants.', 5: 'Mustards are generally tissue irritants with additional systemic effects.', 6: 'Flies are one of the most diverse groups of insects.', 7: 'An onychophoran is an arthropod.', 8: 'Ear candles are hollow cones about ten to eleven inches long.', 9: 'Most vegetarian diets tend to be high in bulk and low in fat.', 10: 'Physical sex is the most important part of marriage.', 11: 'Individuals carry female sex organs.'}
| 7 |
6,939 |
['Once we know pumpkins vary greatly in size, we also know that either wine contains substances known as flavonoids, which are proving to have many health benefits or some alligators provide food.', 'It is rational to agree that pumpkins vary greatly in size.', 'We know that the claim that howler monkeys reach maturity is false.', 'Either one or both of these statements are true: scalds are burns caused by contact with hot liquids or steam, or mammals have a back-bone.', 'One may reasonably assume that if scalds are burns caused by contact with hot liquids or steam, then statistics is the collection and analysis of numerical data.', 'Once we know mammals have a back-bone, we also know that black children are also more likely to be successful if they have a stepfather in the house.', 'Given that statistics is the collection and analysis of numerical data, it can be inferred that transsexuals are transgendered people.', 'Given that transsexuals are transgendered people, it can be inferred that either howler monkeys reach maturity or it is a common misconception that wine contains substances known as flavonoids, which are proving to have many health benefits.', "Whenever it is true that black children are also more likely to be successful if they have a stepfather in the house, 'grandparents can help children bridge the gap between the past and present' is true.", 'Should it be the case that grandparents can help children bridge the gap between the past and present, it follows that either howler monkeys reach maturity or it is a common misconception that wine contains substances known as flavonoids, which are proving to have many health benefits.']
|
Once we know pumpkins vary greatly in size, we also know that either wine contains substances known as flavonoids, which are proving to have many health benefits or some alligators provide food. It is rational to agree that pumpkins vary greatly in size. We know that the claim that howler monkeys reach maturity is false. Either one or both of these statements are true: scalds are burns caused by contact with hot liquids or steam, or mammals have a back-bone. One may reasonably assume that if scalds are burns caused by contact with hot liquids or steam, then statistics is the collection and analysis of numerical data. Once we know mammals have a back-bone, we also know that black children are also more likely to be successful if they have a stepfather in the house. Given that statistics is the collection and analysis of numerical data, it can be inferred that transsexuals are transgendered people. Given that transsexuals are transgendered people, it can be inferred that either howler monkeys reach maturity or it is a common misconception that wine contains substances known as flavonoids, which are proving to have many health benefits. Whenever it is true that black children are also more likely to be successful if they have a stepfather in the house, 'grandparents can help children bridge the gap between the past and present' is true. Should it be the case that grandparents can help children bridge the gap between the past and present, it follows that either howler monkeys reach maturity or it is a common misconception that wine contains substances known as flavonoids, which are proving to have many health benefits.
|
It is true that some alligators provide food.
|
It is true that some alligators provide food.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].).
[2]
Therefore, Either [1] or [0]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].). [SC1-2]
Not [3].
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Either [3] or (Not [1].).). [SC2-3]
If [5], then (Either [3] or (Not [1].).). [SC3-3]
Therefore, Either [3] or (Not [1].)..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [4].
If [8], then [5].
Therefore, Either [4] or [5]..
[SC2-3]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (Either [3] or (Not [1].).).
Therefore, If [4], then (Either [3] or (Not [1].).)..
[SC3-3]
Hypothetical Syllogism:
If [5], then [9].
If [9], then (Either [3] or (Not [1].).).
Therefore, If [5], then (Either [3] or (Not [1].).)..
|
{0: 'Some alligators provide food.', 1: 'Wine contains substances known as flavonoids, which are proving to have many health benefits.', 2: 'Pumpkins vary greatly in size.', 3: 'Howler monkeys reach maturity.', 4: 'Statistics is the collection and analysis of numerical data.', 5: 'Black children are also more likely to be successful if they have a stepfather in the house.', 6: 'Transsexuals are transgendered people.', 7: 'Scalds are burns caused by contact with hot liquids or steam.', 8: 'Mammals have a back-bone.', 9: 'Grandparents can help children bridge the gap between the past and present.'}
| 7 |
6,608 |
['It is not the case that kidneys have (part) sections.', 'Should it be the case that sleeping is used for dreaming, it follows that if the claim that acids cause color changes in acid-base indicators does not reflect reality, then some people mistakenly believe that thermal conductivity is reduced by about two-thirds.', 'It is fair to say that sleeping is used for dreaming.', 'Should it be the case that it is not true that if the claim that acids cause color changes in acid-base indicators does not reflect reality, then thermal conductivity is reduced by about two-thirds, it follows that loose skin relaxes the pores, thus opening the body to a variety of exogenic pathogens and disease.', 'Provided that herons stand on legs, we know that if some people mistakenly believe that if loose skin relaxes the pores, thus opening the body to a variety of exogenic pathogens and disease, then kidneys have (part) sections, then if angolan isa somebody, then power dissipation is minimized in a number of ways.', 'The statement that states herons stand on legs is right.', 'Assuming if angolan isa somebody, then power dissipation is minimized in a number of ways, we know that fish suffer from skin irritation and scrape their bodies on the site or bottom of the pond or net.', 'Some people mistakenly believe that fish suffer from skin irritation and scrape their bodies on the site or bottom of the pond or net.']
|
It is not the case that kidneys have (part) sections. Should it be the case that sleeping is used for dreaming, it follows that if the claim that acids cause color changes in acid-base indicators does not reflect reality, then some people mistakenly believe that thermal conductivity is reduced by about two-thirds. It is fair to say that sleeping is used for dreaming. Should it be the case that it is not true that if the claim that acids cause color changes in acid-base indicators does not reflect reality, then thermal conductivity is reduced by about two-thirds, it follows that loose skin relaxes the pores, thus opening the body to a variety of exogenic pathogens and disease. Provided that herons stand on legs, we know that if some people mistakenly believe that if loose skin relaxes the pores, thus opening the body to a variety of exogenic pathogens and disease, then kidneys have (part) sections, then if angolan isa somebody, then power dissipation is minimized in a number of ways. The statement that states herons stand on legs is right. Assuming if angolan isa somebody, then power dissipation is minimized in a number of ways, we know that fish suffer from skin irritation and scrape their bodies on the site or bottom of the pond or net. Some people mistakenly believe that fish suffer from skin irritation and scrape their bodies on the site or bottom of the pond or net.
|
The claim that acids cause color changes in acid-base indicators holds true.
|
The claim that acids cause color changes in acid-base indicators holds true.
|
TRUE
|
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 [3]. [SC1-2]
Not [3].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then [1].).), then [4].
If [4], then [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-3]
Modus Tonens:
If (Not (If [4], then [3].).), then (If [5], then [6].). [SC1-4]
Not (If [5], then [6].). [SC2-4]
Therefore, If [4], then [3]..
[SC1-4]
Modus Ponens:
If [7], then (If (Not (If [4], then [3].).), then (If [5], then [6].).).
[7]
Therefore, If (Not (If [4], then [3].).), then (If [5], then [6].)..
[SC2-4]
Modus Tonens:
If (If [5], then [6].), then [8].
Not [8].
Therefore, Not (If [5], then [6].)..
[SC2-1]
Modus Ponens:
If [2], then (If (Not [0].), then (Not [1].).).
[2]
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Acids cause color changes in acid-base indicators.', 1: 'Thermal conductivity is reduced by about two-thirds.', 2: 'Sleeping is used for dreaming.', 3: 'Kidneys have (part) sections.', 4: 'Loose skin relaxes the pores, thus opening the body to a variety of exogenic pathogens and disease.', 5: 'Angolan isa somebody.', 6: 'Power dissipation is minimized in a number of ways.', 7: 'Herons stand on legs.', 8: 'Fish suffer from skin irritation and scrape their bodies on the site or bottom of the pond or net.'}
| 7 |
6,495 |
["So long as the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, 'some tumors affect organs' is true.", "Should it be the case that most healthy kids get sick once in a while, it follows that if the claim that malt whiskey is whisky is false, then the statement that 'heart arrhythmias are irregularities of the heartbeat' is incorrect.", 'At least one of two things is true: brown algae are the largest and probably most complex protists, or either men seek life or state law allows people to care for up to two unrelated children without state permission.', 'Given that brown algae are the largest and probably most complex protists, it can be inferred that if the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, then the claim that some tumors affect organs is false.', 'Once we know either men seek life or state law allows people to care for up to two unrelated children without state permission, we also know that if the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, then the claim that some tumors affect organs is false.', 'When either observatories have (part) readsides or sodium ions follow passively is true, it follows that a recitalist is a soloist.', 'If regular exercise can increase the flow of blood to nerves and help manage blood sugar levels, then most healthy kids get sick once in a while.', 'On the condition that a recitalist is a soloist, it is definitely the case that convex hull is used to describe topological properties of objects.', "Given that convex hull is used to describe topological properties of objects, it can be inferred that if the claim that malt whiskey is whisky is false, then the statement that 'heart arrhythmias are irregularities of the heartbeat' is incorrect.", 'On the condition that it is not the case that either either observatories have (part) readsides or sodium ions follow passively or regular exercise can increase the flow of blood to nerves and help manage blood sugar levels, it is definitely the case that all crystalline materials have defects in their lattices called dislocations.', 'We know that the claim that all crystalline materials have defects in their lattices called dislocations is false.']
|
So long as the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, 'some tumors affect organs' is true. Should it be the case that most healthy kids get sick once in a while, it follows that if the claim that malt whiskey is whisky is false, then the statement that 'heart arrhythmias are irregularities of the heartbeat' is incorrect. At least one of two things is true: brown algae are the largest and probably most complex protists, or either men seek life or state law allows people to care for up to two unrelated children without state permission. Given that brown algae are the largest and probably most complex protists, it can be inferred that if the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, then the claim that some tumors affect organs is false. Once we know either men seek life or state law allows people to care for up to two unrelated children without state permission, we also know that if the statement, if the claim that malt whiskey is whisky is false, then heart arrhythmias are irregularities of the heartbeat, does not hold, then the claim that some tumors affect organs is false. When either observatories have (part) readsides or sodium ions follow passively is true, it follows that a recitalist is a soloist. If regular exercise can increase the flow of blood to nerves and help manage blood sugar levels, then most healthy kids get sick once in a while. On the condition that a recitalist is a soloist, it is definitely the case that convex hull is used to describe topological properties of objects. Given that convex hull is used to describe topological properties of objects, it can be inferred that if the claim that malt whiskey is whisky is false, then the statement that 'heart arrhythmias are irregularities of the heartbeat' is incorrect. On the condition that it is not the case that either either observatories have (part) readsides or sodium ions follow passively or regular exercise can increase the flow of blood to nerves and help manage blood sugar levels, it is definitely the case that all crystalline materials have defects in their lattices called dislocations. We know that the claim that all crystalline materials have defects in their lattices called dislocations is false.
|
It is rational to agree that malt whiskey is whisky.
|
Malt whiskey is whisky.
|
Uncertain
|
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].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or (Either [6] or [7].).
If [5], then (If (Not (If (Not [0].), then [1].).), then (Not [2].).).
If (Either [6] or [7].), then (If (Not (If (Not [0].), then [1].).), then (Not [2].).).
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If (Not [0].), then (Not [1].).). [SC2-2]
If [4], then (If (Not [0].), then (Not [1].).).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Constructive Dilemma:
Either (Either [9] or [10].) or [11]. [SC1-3]
If (Either [9] or [10].), then [3].
If [11], then [4].
Therefore, Either [3] or [4]..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [9] or [10].) or [11].).), then [12].
Not [12].
Therefore, Either (Either [9] or [10].) or [11]..
[SC2-2]
Hypothetical Syllogism:
If [3], then [8].
If [8], then (If (Not [0].), then (Not [1].).).
Therefore, If [3], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Malt whiskey is whisky.', 1: 'Heart arrhythmias are irregularities of the heartbeat.', 2: 'Some tumors affect organs.', 3: 'A recitalist is a soloist.', 4: 'Most healthy kids get sick once in a while.', 5: 'Brown algae are the largest and probably most complex protists.', 6: 'Men seek life.', 7: 'State law allows people to care for up to two unrelated children without state permission.', 8: 'Convex hull is used to describe topological properties of objects.', 9: 'Observatories have (part) readsides.', 10: 'Sodium ions follow passively.', 11: 'Regular exercise can increase the flow of blood to nerves and help manage blood sugar levels.', 12: 'All crystalline materials have defects in their lattices called dislocations.'}
| 7 |
6,630 |
['The claim that most budgies eat seeds does not reflect reality.', 'It is rational to agree that most atoms consist of particles.', 'Should it be the case that either spores are passed to the soil via the feces and where they can remain for years or most plants grow in warm climates, it follows that ecological symmetry breaking can favour the evolution of altruism in an action-response game .', "The notion that 'ecological symmetry breaking can favour the evolution of altruism in an action-response game ' is untrue.", 'Given that acids are proton donors, it can be inferred that if those that suggest either most budgies eat seeds or the statement, language learning enhances the quality of cultural and intellectual life in general, does not hold are wrong, then either spores are passed to the soil via the feces and where they can remain for years or most plants grow in warm climates.', 'Given that jokes are common to all cultures, it can be inferred that if most atoms consist of particles, then acids are proton donors.', 'If many women lose breast-feeding infants during environmental disasters, then jokes are common to all cultures.', "The statement 'many women lose breast-feeding infants during environmental disasters' can be considered true."]
|
The claim that most budgies eat seeds does not reflect reality. It is rational to agree that most atoms consist of particles. Should it be the case that either spores are passed to the soil via the feces and where they can remain for years or most plants grow in warm climates, it follows that ecological symmetry breaking can favour the evolution of altruism in an action-response game . The notion that 'ecological symmetry breaking can favour the evolution of altruism in an action-response game ' is untrue. Given that acids are proton donors, it can be inferred that if those that suggest either most budgies eat seeds or the statement, language learning enhances the quality of cultural and intellectual life in general, does not hold are wrong, then either spores are passed to the soil via the feces and where they can remain for years or most plants grow in warm climates. Given that jokes are common to all cultures, it can be inferred that if most atoms consist of particles, then acids are proton donors. If many women lose breast-feeding infants during environmental disasters, then jokes are common to all cultures. The statement 'many women lose breast-feeding infants during environmental disasters' can be considered true.
|
The statement, language learning enhances the quality of cultural and intellectual life in general, does not hold.
|
The statement, language learning enhances the quality of cultural and intellectual life in general, does not hold.
|
TRUE
|
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 (Either [2] or [3].). [SC1-2]
Not (Either [2] or [3].). [SC2-2]
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).). [SC1-3]
[5]
Therefore, If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].)..
[SC1-3]
Hypothetical Syllogism:
If [5], then [6]. [SC1-4]
If [6], then (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).).
Therefore, If [5], then (If (Not (Either [1] or (Not [0].).).), then (Either [2] or [3].).)..
[SC1-4]
Modus Ponens:
If [7], then (If [5], then [6].).
[7] [SC2-5]
Therefore, If [5], then [6]..
[SC2-5]
Modus Ponens:
If [8], then [7].
[8]
Therefore, [7].
[SC2-2]
Modus Tonens:
If (Either [2] or [3].), then [4].
Not [4].
Therefore, Not (Either [2] or [3].)..
|
{0: 'Language learning enhances the quality of cultural and intellectual life in general.', 1: 'Most budgies eat seeds.', 2: 'Spores are passed to the soil via the feces and where they can remain for years.', 3: 'Most plants grow in warm climates.', 4: 'Ecological symmetry breaking can favour the evolution of altruism in an action-response game .', 5: 'Most atoms consist of particles.', 6: 'Acids are proton donors.', 7: 'Jokes are common to all cultures.', 8: 'Many women lose breast-feeding infants during environmental disasters.'}
| 7 |
6,596 |
["Whenever it is true that patients have rights, 'facilities have types' is true.", 'Should it be the case that the claim that either either lizards require special care or careless divers frighten manatees away from protected areas and into more dangerous waters or saguaros can live nearly two hundred years does not reflect reality, it follows that either cattle graze in a pasture or starvation is diseases.', 'It is not true that either cattle graze in a pasture or starvation is diseases.', 'Once we know it is a common misconception that if either lizards require special care or careless divers frighten manatees away from protected areas and into more dangerous waters, then if patients have rights, then the claim that facilities have types is false, we also know that boils occur most often on the face, head, neck, forearms and wrists in that order.', 'If the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then the claim that badgers are known to ward of bigger animals from their younger ones does not correspond with reality.', 'It is a fact that either proteins find in vascular tissue or if strange creatures spend whole nights in it, at certain seasons of the year, then birth defects related to alcohol are permanent.', 'When proteins find in vascular tissue is true, it follows that the statement, boils occur most often on the face, head, neck, forearms and wrists in that order, does not hold.', 'Given that if strange creatures spend whole nights in it, at certain seasons of the year, then birth defects related to alcohol are permanent, it can be inferred that the statement, boils occur most often on the face, head, neck, forearms and wrists in that order, does not hold.', 'We know that at least one of two things is true: some people get flu-like symptoms, or if tools are used for buildings, then birds relate to dinosaurs.', 'One may reasonably assume that if some people get flu-like symptoms, then if the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then badgers are known to ward of bigger animals from their younger ones.', 'One may reasonably assume that if if tools are used for buildings, then birds relate to dinosaurs, then if the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then badgers are known to ward of bigger animals from their younger ones.']
|
Whenever it is true that patients have rights, 'facilities have types' is true. Should it be the case that the claim that either either lizards require special care or careless divers frighten manatees away from protected areas and into more dangerous waters or saguaros can live nearly two hundred years does not reflect reality, it follows that either cattle graze in a pasture or starvation is diseases. It is not true that either cattle graze in a pasture or starvation is diseases. Once we know it is a common misconception that if either lizards require special care or careless divers frighten manatees away from protected areas and into more dangerous waters, then if patients have rights, then the claim that facilities have types is false, we also know that boils occur most often on the face, head, neck, forearms and wrists in that order. If the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then the claim that badgers are known to ward of bigger animals from their younger ones does not correspond with reality. It is a fact that either proteins find in vascular tissue or if strange creatures spend whole nights in it, at certain seasons of the year, then birth defects related to alcohol are permanent. When proteins find in vascular tissue is true, it follows that the statement, boils occur most often on the face, head, neck, forearms and wrists in that order, does not hold. Given that if strange creatures spend whole nights in it, at certain seasons of the year, then birth defects related to alcohol are permanent, it can be inferred that the statement, boils occur most often on the face, head, neck, forearms and wrists in that order, does not hold. We know that at least one of two things is true: some people get flu-like symptoms, or if tools are used for buildings, then birds relate to dinosaurs. One may reasonably assume that if some people get flu-like symptoms, then if the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then badgers are known to ward of bigger animals from their younger ones. One may reasonably assume that if if tools are used for buildings, then birds relate to dinosaurs, then if the claim that if saguaros can live nearly two hundred years, then if patients have rights, then the claim that facilities have types is false does not reflect reality, then badgers are known to ward of bigger animals from their younger ones.
|
The claim that patients have rights does not correspond with reality.
|
The claim that patients have rights is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (If [0], then (Not [1].).). [SC2-2]
If [4], then (If [0], then (Not [1].).). [SC3-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either (Either [2] or [3].) or [4].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-2]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (If [0], then (Not [1].).).).), then [5].
Not [5]. [SC2-3]
Therefore, If (Either [2] or [3].), then (If [0], then (Not [1].).)..
[SC2-3]
Disjunction Elimination:
Either [9] or (If [10], then [11].).
If [9], then (Not [5].).
If (If [10], then [11].), then (Not [5].).
Therefore, Not [5]..
[SC3-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [0], then (Not [1].).).).), then [8]. [SC1-3]
If (Not (If [4], then (If [0], then (Not [1].).).).), then (Not [8].).
Therefore, If [4], then (If [0], then (Not [1].).)..
[SC1-3]
Disjunction Elimination:
Either [12] or (If [13], then [14].).
If [12], then (If (Not (If [4], then (If [0], then (Not [1].).).).), then [8].).
If (If [13], then [14].), then (If (Not (If [4], then (If [0], then (Not [1].).).).), then [8].).
Therefore, If (Not (If [4], then (If [0], then (Not [1].).).).), then [8]..
|
{0: 'Patients have rights.', 1: 'Facilities have types.', 2: 'Lizards require special care.', 3: 'Careless divers frighten manatees away from protected areas and into more dangerous waters.', 4: 'Saguaros can live nearly two hundred years.', 5: 'Boils occur most often on the face, head, neck, forearms and wrists in that order.', 6: 'Cattle graze in a pasture.', 7: 'Starvation is diseases.', 8: 'Badgers are known to ward of bigger animals from their younger ones.', 9: 'Proteins find in vascular tissue.', 10: 'Strange creatures spend whole nights in it, at certain seasons of the year.', 11: 'Birth defects related to alcohol are permanent.', 12: 'Some people get flu-like symptoms.', 13: 'Tools are used for buildings.', 14: 'Birds relate to dinosaurs.'}
| 7 |
6,713 |
['The idea that severe infection causes symptoms is true.', 'Provided that deserts tend to preserve what was there before so people can dig it up, we know that the claim that yeast is the basis for many vitamin and mineral preparations does not correspond with reality.', 'We know that either if pansies are one of the most widely known and best loved of all cultivated flowers, then aboriginal culture pays great respect to elders or grasses develop beautiful seed heads in the fall.', 'Once we know if pansies are one of the most widely known and best loved of all cultivated flowers, then aboriginal culture pays great respect to elders, we also know that if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then music can induce epileptic seizures in the brain.', "So long as grasses develop beautiful seed heads in the fall, 'if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then music can induce epileptic seizures in the brain' is true.", 'When seeds resemble cherries is true, it follows that if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then those that suggest music can induce epileptic seizures in the brain are wrong.', 'The claim that seeds resemble cherries holds true.', 'If deserts tend to preserve what was there before so people can dig it up, then a wild lupine is a bush.', 'One may reasonably assume that if a wild lupine is a bush, then yeast is the basis for many vitamin and mineral preparations.']
|
The idea that severe infection causes symptoms is true. Provided that deserts tend to preserve what was there before so people can dig it up, we know that the claim that yeast is the basis for many vitamin and mineral preparations does not correspond with reality. We know that either if pansies are one of the most widely known and best loved of all cultivated flowers, then aboriginal culture pays great respect to elders or grasses develop beautiful seed heads in the fall. Once we know if pansies are one of the most widely known and best loved of all cultivated flowers, then aboriginal culture pays great respect to elders, we also know that if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then music can induce epileptic seizures in the brain. So long as grasses develop beautiful seed heads in the fall, 'if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then music can induce epileptic seizures in the brain' is true. When seeds resemble cherries is true, it follows that if it is not the case that if those that suggest if severe infection causes symptoms, then those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong are wrong, then deserts tend to preserve what was there before so people can dig it up, then those that suggest music can induce epileptic seizures in the brain are wrong. The claim that seeds resemble cherries holds true. If deserts tend to preserve what was there before so people can dig it up, then a wild lupine is a bush. One may reasonably assume that if a wild lupine is a bush, then yeast is the basis for many vitamin and mineral preparations.
|
Those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong.
|
Those that suggest autism is a a very severe disorder that effects a wide variety of people are wrong.
|
TRUE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [4]. [SC1-3]
If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then (Not [4].). [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then [2]..
[SC1-3]
Disjunction Elimination:
Either (If [5], then [6].) or [7].
If (If [5], then [6].), then (If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [4].).
If [7], then (If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [4].).
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [4]..
[SC2-3]
Modus Ponens:
If [8], then (If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then (Not [4].).).
[8]
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then (Not [4].)..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-3]
If [2], then (Not [3].).
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [9].
If [9], then [3].
Therefore, If [2], then [3]..
|
{0: 'Autism is a a very severe disorder that effects a wide variety of people.', 1: 'Severe infection causes symptoms.', 2: 'Deserts tend to preserve what was there before so people can dig it up.', 3: 'Yeast is the basis for many vitamin and mineral preparations.', 4: 'Music can induce epileptic seizures in the brain.', 5: 'Pansies are one of the most widely known and best loved of all cultivated flowers.', 6: 'Aboriginal culture pays great respect to elders.', 7: 'Grasses develop beautiful seed heads in the fall.', 8: 'Seeds resemble cherries.', 9: 'A wild lupine is a bush.'}
| 7 |
6,753 |
['Given that if baby girls have small chances to grow up healthy, then most pelicans have senses, it can be inferred that accounting usually focuses on costs, and IT generally translates to technology.', "Whenever it is true that air reaches the middle ear via the eustachian tube, which is connected to the back of the nose, 'accounting usually focuses on costs, and IT generally translates to technology' is true.", 'Provided that pandas have (part) faces, we know that either if baby girls have small chances to grow up healthy, then most pelicans have senses or air reaches the middle ear via the eustachian tube, which is connected to the back of the nose.', "Whenever it is true that we know that the claim that either pandas have (part) faces or most bottlenose dolphins have organs is false, 'either some economists argue that monetary and fiscal policy destabilizes the economy or some science deals with operations' is true.", 'It is not true that either some economists argue that monetary and fiscal policy destabilizes the economy or some science deals with operations.', 'We know that either most insects find on trees or if people form habits that lead to obesity in childhood, then if most bottlenose dolphins have organs, then either if baby girls have small chances to grow up healthy, then most pelicans have senses or air reaches the middle ear via the eustachian tube, which is connected to the back of the nose.', 'Given that those that suggest people form habits that lead to obesity in childhood are wrong, it can be inferred that phasmids are insects.', 'Some people mistakenly believe that phasmids are insects.', 'It is a fact that either hurricanes can cause significant damage on land or if aerobic exercise burns up calories, then true spirituality demands personal awareness and responsibility.', 'Should it be the case that hurricanes can cause significant damage on land, it follows that it is a common misconception that most insects find on trees.', 'When if aerobic exercise burns up calories, then true spirituality demands personal awareness and responsibility is true, it follows that it is a common misconception that most insects find on trees.']
|
Given that if baby girls have small chances to grow up healthy, then most pelicans have senses, it can be inferred that accounting usually focuses on costs, and IT generally translates to technology. Whenever it is true that air reaches the middle ear via the eustachian tube, which is connected to the back of the nose, 'accounting usually focuses on costs, and IT generally translates to technology' is true. Provided that pandas have (part) faces, we know that either if baby girls have small chances to grow up healthy, then most pelicans have senses or air reaches the middle ear via the eustachian tube, which is connected to the back of the nose. Whenever it is true that we know that the claim that either pandas have (part) faces or most bottlenose dolphins have organs is false, 'either some economists argue that monetary and fiscal policy destabilizes the economy or some science deals with operations' is true. It is not true that either some economists argue that monetary and fiscal policy destabilizes the economy or some science deals with operations. We know that either most insects find on trees or if people form habits that lead to obesity in childhood, then if most bottlenose dolphins have organs, then either if baby girls have small chances to grow up healthy, then most pelicans have senses or air reaches the middle ear via the eustachian tube, which is connected to the back of the nose. Given that those that suggest people form habits that lead to obesity in childhood are wrong, it can be inferred that phasmids are insects. Some people mistakenly believe that phasmids are insects. It is a fact that either hurricanes can cause significant damage on land or if aerobic exercise burns up calories, then true spirituality demands personal awareness and responsibility. Should it be the case that hurricanes can cause significant damage on land, it follows that it is a common misconception that most insects find on trees. When if aerobic exercise burns up calories, then true spirituality demands personal awareness and responsibility is true, it follows that it is a common misconception that most insects find on trees.
|
accounting usually focuses on costs, and IT generally translates to technology.
|
Accounting is one of the leading growth professions today on both a national and a worldwide basis.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3]. [SC1-1]
If (If [1], then [2].), then [0].
If [3], then [0].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Either (If [1], then [2].) or [3].).
If [5], then (Either (If [1], then [2].) or [3].). [SC3-2]
Therefore, Either (If [1], then [2].) or [3]..
[SC1-2]
Modus Tonens:
If (Not (Either [4] or [5].).), then (Either [6] or [7].).
Not (Either [6] or [7].).
Therefore, Either [4] or [5]..
[SC3-2]
Modus Ponens:
If [8], then (If [5], then (Either (If [1], then [2].) or [3].).). [SC1-3]
[8] [SC2-3]
Therefore, If [5], then (Either (If [1], then [2].) or [3].)..
[SC1-3]
Disjunctive Syllogism:
Either [9] or (If [8], then (If [5], then (Either (If [1], then [2].) or [3].).).).
Not [9]. [SC2-4]
Therefore, If [8], then (If [5], then (Either (If [1], then [2].) or [3].).)..
[SC2-4]
Disjunction Elimination:
Either [11] or (If [12], then [13].).
If [11], then (Not [9].).
If (If [12], then [13].), then (Not [9].).
Therefore, Not [9]..
[SC2-3]
Modus Tonens:
If (Not [8].), then [10].
Not [10].
Therefore, [8].
|
{0: 'Accounting usually focuses on costs, and IT generally translates to technology.', 1: 'Baby girls have small chances to grow up healthy.', 2: 'Most pelicans have senses.', 3: 'Air reaches the middle ear via the eustachian tube, which is connected to the back of the nose.', 4: 'Pandas have (part) faces.', 5: 'Most bottlenose dolphins have organs.', 6: 'Some economists argue that monetary and fiscal policy destabilizes the economy.', 7: 'Some science deals with operations.', 8: 'People form habits that lead to obesity in childhood.', 9: 'Most insects find on trees.', 10: 'Phasmids are insects.', 11: 'Hurricanes can cause significant damage on land.', 12: 'Aerobic exercise burns up calories.', 13: 'True spirituality demands personal awareness and responsibility.'}
| 7 |
6,624 |
["So long as if laser light is effectively monochromatic, then human activities affect temperature, 'either mature cysts are ingested via contaminated water or food or sexual harassment is unacceptable behavior, unlawful and intolerable' is true.", 'Once we know some plants grow with compost, we also know that either mature cysts are ingested via contaminated water or food or sexual harassment is unacceptable behavior, unlawful and intolerable.', "Whenever it is true that those that suggest if mature cysts are ingested via contaminated water or food, then if alumnuses are scholars, then seals produce chemicals are wrong, 'either some follicles undergo meiosis or obstructions can be in the form of gallstones or cancerous tumor' is true.", "Should it be the case that those that suggest if mature cysts are ingested via contaminated water or food, then if alumnuses are scholars, then seals produce chemicals are wrong, it follows that the notion that 'either some follicles undergo meiosis or obstructions can be in the form of gallstones or cancerous tumor' is untrue.", 'Provided that it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, we know that the claim that oxygenations are natural processes does not correspond with reality.', 'On the condition that some materials have crystalline patterns, it is definitely the case that either if laser light is effectively monochromatic, then human activities affect temperature or some plants grow with compost.', 'It is true that some materials have crystalline patterns.', 'Should it be the case that we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, it follows that salt is used to relieve stress during handling and transport.', "One may reasonably assume that if it is a common misconception that if we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, then the statement that 'salt is used to relieve stress during handling and transport' is incorrect, then either extra insulation traps excess heat or magnetic refrigerators have cool capacity.", "Once we know it is a common misconception that if we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, then the statement that 'salt is used to relieve stress during handling and transport' is incorrect, we also know that it is a common misconception that either extra insulation traps excess heat or magnetic refrigerators have cool capacity."]
|
So long as if laser light is effectively monochromatic, then human activities affect temperature, 'either mature cysts are ingested via contaminated water or food or sexual harassment is unacceptable behavior, unlawful and intolerable' is true. Once we know some plants grow with compost, we also know that either mature cysts are ingested via contaminated water or food or sexual harassment is unacceptable behavior, unlawful and intolerable. Whenever it is true that those that suggest if mature cysts are ingested via contaminated water or food, then if alumnuses are scholars, then seals produce chemicals are wrong, 'either some follicles undergo meiosis or obstructions can be in the form of gallstones or cancerous tumor' is true. Should it be the case that those that suggest if mature cysts are ingested via contaminated water or food, then if alumnuses are scholars, then seals produce chemicals are wrong, it follows that the notion that 'either some follicles undergo meiosis or obstructions can be in the form of gallstones or cancerous tumor' is untrue. Provided that it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, we know that the claim that oxygenations are natural processes does not correspond with reality. On the condition that some materials have crystalline patterns, it is definitely the case that either if laser light is effectively monochromatic, then human activities affect temperature or some plants grow with compost. It is true that some materials have crystalline patterns. Should it be the case that we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, it follows that salt is used to relieve stress during handling and transport. One may reasonably assume that if it is a common misconception that if we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, then the statement that 'salt is used to relieve stress during handling and transport' is incorrect, then either extra insulation traps excess heat or magnetic refrigerators have cool capacity. Once we know it is a common misconception that if we know that the claim that if it is not the case that if sexual harassment is unacceptable behavior, unlawful and intolerable, then if alumnuses are scholars, then seals produce chemicals, then oxygenations are natural processes is false, then the statement that 'salt is used to relieve stress during handling and transport' is incorrect, we also know that it is a common misconception that either extra insulation traps excess heat or magnetic refrigerators have cool capacity.
|
Given that alumnuses are scholars, it can be inferred that seals produce chemicals.
|
One may reasonably assume that if alumnuses are scholars, then seals shelter around sand dunes and on rocky beaches.
|
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]
Disjunction Elimination:
Either (If [7], then [8].) or [9]. [SC1-2]
If (If [7], then [8].), then (Either [2] or [3].).
If [9], then (Either [2] or [3].).
Therefore, Either [2] or [3]..
[SC1-2]
Modus Ponens:
If [10], then (Either (If [7], then [8].) or [9].).
[10]
Therefore, Either (If [7], then [8].) or [9]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then (If [0], then [1].).).), then (Either [5] or [6].).
If (Not (If [2], then (If [0], then [1].).).), then (Not (Either [5] or [6].).).
Therefore, If [2], then (If [0], then [1].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (If [0], then [1].).).), then [4]. [SC1-2]
If (Not (If [3], then (If [0], then [1].).).), then (Not [4].).
Therefore, If [3], then (If [0], then [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then [11].
If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then (Not [11].). [SC2-3]
Therefore, If (Not (If [3], then (If [0], then [1].).).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then (Not [11].).).), then (Either [12] or [13].).
If (Not (If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then (Not [11].).).), then (Not (Either [12] or [13].).).
Therefore, If (Not (If (Not (If [3], then (If [0], then [1].).).), then [4].).), then (Not [11].)..
|
{0: 'Alumnuses are scholars.', 1: 'Seals produce chemicals.', 2: 'Mature cysts are ingested via contaminated water or food.', 3: 'Sexual harassment is unacceptable behavior, unlawful and intolerable.', 4: 'Oxygenations are natural processes.', 5: 'Some follicles undergo meiosis.', 6: 'Obstructions can be in the form of gallstones or cancerous tumor.', 7: 'Laser light is effectively monochromatic.', 8: 'Human activities affect temperature.', 9: 'Some plants grow with compost.', 10: 'Some materials have crystalline patterns.', 11: 'Salt is used to relieve stress during handling and transport.', 12: 'Extra insulation traps excess heat.', 13: 'Magnetic refrigerators have cool capacity.'}
| 7 |
6,312 |
['Either cats have many coat types or fish develop female reproductive organs.', 'Once we know cats have many coat types, we also know that if the claim that orange tortrix has four to seven generations per year has no merit, then science establishes guidelines.', 'Should it be the case that fish develop female reproductive organs, it follows that if the claim that orange tortrix has four to seven generations per year has no merit, then science establishes guidelines.', 'It is rational to agree that intake plays roles.', "If most elephants have legs, then if intake plays roles, then if the claim that orange tortrix has four to seven generations per year has no merit, then the notion that 'science establishes guidelines' is untrue.", 'We know that either individual households consist of extended families or either epilepsy is a rare condition or most elephants have legs.', 'Some people mistakenly believe that individual households consist of extended families.', "Assuming ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that if intake plays roles, then if the claim that orange tortrix has four to seven generations per year has no merit, then the notion that 'science establishes guidelines' is untrue.", 'Assuming some people mistakenly believe that if epilepsy is a rare condition, then ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that if some blood vessels pass through canals, then foxes cause nuisances.', "Assuming some people mistakenly believe that if epilepsy is a rare condition, then ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that the statement 'if some blood vessels pass through canals, then foxes cause nuisances' can be considered false."]
|
Either cats have many coat types or fish develop female reproductive organs. Once we know cats have many coat types, we also know that if the claim that orange tortrix has four to seven generations per year has no merit, then science establishes guidelines. Should it be the case that fish develop female reproductive organs, it follows that if the claim that orange tortrix has four to seven generations per year has no merit, then science establishes guidelines. It is rational to agree that intake plays roles. If most elephants have legs, then if intake plays roles, then if the claim that orange tortrix has four to seven generations per year has no merit, then the notion that 'science establishes guidelines' is untrue. We know that either individual households consist of extended families or either epilepsy is a rare condition or most elephants have legs. Some people mistakenly believe that individual households consist of extended families. Assuming ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that if intake plays roles, then if the claim that orange tortrix has four to seven generations per year has no merit, then the notion that 'science establishes guidelines' is untrue. Assuming some people mistakenly believe that if epilepsy is a rare condition, then ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that if some blood vessels pass through canals, then foxes cause nuisances. Assuming some people mistakenly believe that if epilepsy is a rare condition, then ice crystals begin to form a solid lattice with higher cohesion between molecules, we know that the statement 'if some blood vessels pass through canals, then foxes cause nuisances' can be considered false.
|
The claim that orange tortrix has four to seven generations per year is true.
|
An orange tortrix is a tortricid moth.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If [4], then (If (Not [0].), then (Not [1].).). [SC1-2]
[4]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6]. [SC1-3]
If [5], then (If [4], then (If (Not [0].), then (Not [1].).).). [SC2-3]
If [6], then (If [4], then (If (Not [0].), then (Not [1].).).).
Therefore, If [4], then (If (Not [0].), then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either [5] or [6].).
Not [7].
Therefore, Either [5] or [6]..
[SC2-3]
Hypothetical Syllogism:
If [5], then [8]. [SC1-4]
If [8], then (If [4], then (If (Not [0].), then (Not [1].).).).
Therefore, If [5], then (If [4], then (If (Not [0].), then (Not [1].).).)..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [5], then [8].).), then (If [9], then [10].).
If (Not (If [5], then [8].).), then (Not (If [9], then [10].).).
Therefore, If [5], then [8]..
|
{0: 'Orange tortrix has four to seven generations per year.', 1: 'Science establishes guidelines.', 2: 'Cats have many coat types.', 3: 'Fish develop female reproductive organs.', 4: 'Intake plays roles.', 5: 'Epilepsy is a rare condition.', 6: 'Most elephants have legs.', 7: 'Individual households consist of extended families.', 8: 'Ice crystals begin to form a solid lattice with higher cohesion between molecules.', 9: 'Some blood vessels pass through canals.', 10: 'Foxes cause nuisances.'}
| 7 |
6,008 |
['It is a common misconception that rape victims are nine times more likely than victims of other crimes to attempt suicide.', 'The claim that secured debt is debt that is secured by something tangible has no merit.', 'One may reasonably assume that if those that suggest if it is a common misconception that either rape victims are nine times more likely than victims of other crimes to attempt suicide or shyness is real and can paralyze a person, then secured debt is debt that is secured by something tangible are wrong, then some fleas live on dogs.', 'It is rational to believe that either if handlers are agents, then marijuana produces effects or if those that suggest if it is a common misconception that either rape victims are nine times more likely than victims of other crimes to attempt suicide or shyness is real and can paralyze a person, then secured debt is debt that is secured by something tangible are wrong, then the claim that some fleas live on dogs does not correspond with reality.', 'It is rational to believe that either some zoos have special activities for young people or trees are hierarchical displays of immediately broader and narrower terms.', 'When some zoos have special activities for young people is true, it follows that volatility differs greatly from sector to sector and from stock to stock.', "Whenever it is true that trees are hierarchical displays of immediately broader and narrower terms, 'the claim that if handlers are agents, then marijuana produces effects does not reflect reality' is true.", 'We know that at least one of two things is true: if soybeans are vulnerable to several kinds of nematodes, especially soybean cyst nematodes, then officers have (part) cell membranes, or it is not true that volatility differs greatly from sector to sector and from stock to stock.', 'It is not the case that if soybeans are vulnerable to several kinds of nematodes, especially soybean cyst nematodes, then officers have (part) cell membranes.']
|
It is a common misconception that rape victims are nine times more likely than victims of other crimes to attempt suicide. The claim that secured debt is debt that is secured by something tangible has no merit. One may reasonably assume that if those that suggest if it is a common misconception that either rape victims are nine times more likely than victims of other crimes to attempt suicide or shyness is real and can paralyze a person, then secured debt is debt that is secured by something tangible are wrong, then some fleas live on dogs. It is rational to believe that either if handlers are agents, then marijuana produces effects or if those that suggest if it is a common misconception that either rape victims are nine times more likely than victims of other crimes to attempt suicide or shyness is real and can paralyze a person, then secured debt is debt that is secured by something tangible are wrong, then the claim that some fleas live on dogs does not correspond with reality. It is rational to believe that either some zoos have special activities for young people or trees are hierarchical displays of immediately broader and narrower terms. When some zoos have special activities for young people is true, it follows that volatility differs greatly from sector to sector and from stock to stock. Whenever it is true that trees are hierarchical displays of immediately broader and narrower terms, 'the claim that if handlers are agents, then marijuana produces effects does not reflect reality' is true. We know that at least one of two things is true: if soybeans are vulnerable to several kinds of nematodes, especially soybean cyst nematodes, then officers have (part) cell membranes, or it is not true that volatility differs greatly from sector to sector and from stock to stock. It is not the case that if soybeans are vulnerable to several kinds of nematodes, especially soybean cyst nematodes, then officers have (part) cell membranes.
|
shyness is real and can paralyze a person.
|
Shyness can prevent an individual from speaking up, getting noticed and being heard.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [2]. [SC1-2]
Not [2].
Therefore, Either [1] or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then [2].).), then [3].
If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-3]
Disjunctive Syllogism:
Either (If [4], then [5].) or (If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].).).
Not (If [4], then [5].). [SC2-4]
Therefore, If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (Not (If [4], then [5].).). [SC1-5]
Not [6]. [SC2-5]
Therefore, Not (If [4], then [5].)..
[SC1-5]
Constructive Dilemma:
Either [9] or [10].
If [9], then [6].
If [10], then (Not (If [4], then [5].).).
Therefore, Either [6] or (Not (If [4], then [5].).)..
[SC2-5]
Disjunctive Syllogism:
Either (If [7], then [8].) or (Not [6].).
Not (If [7], then [8].).
Therefore, Not [6]..
|
{0: 'Shyness is real and can paralyze a person.', 1: 'Rape victims are nine times more likely than victims of other crimes to attempt suicide.', 2: 'Secured debt is debt that is secured by something tangible.', 3: 'Some fleas live on dogs.', 4: 'Handlers are agents.', 5: 'Marijuana produces effects.', 6: 'Volatility differs greatly from sector to sector and from stock to stock.', 7: 'Soybeans are vulnerable to several kinds of nematodes, especially soybean cyst nematodes.', 8: 'Officers have (part) cell membranes.', 9: 'Some zoos have special activities for young people.', 10: 'Trees are hierarchical displays of immediately broader and narrower terms.'}
| 7 |
6,529 |
['Assuming timing is the key to cooking fish, we know that either heterosexuals have histories of failure in lesbian relationships or most deciduous trees can survive a moderate degree of defoliation.', 'The statement, rivers mostly follow a winding course in their alluvial plane, does not hold.', 'Either human beings excrete mainly urea, which is eliminated in urine or moisture also has a significant effect on chinch bug populations.', "So long as moisture also has a significant effect on chinch bug populations, 'if sharks include horn sharks, then either rivers mostly follow a winding course in their alluvial plane or timing is the key to cooking fish' is true.", 'It is a fact that either artificial insemination is the way forward in extending the gene pool worldwide or investigations require accurate liquid measurements.', 'Should it be the case that artificial insemination is the way forward in extending the gene pool worldwide, it follows that sharks include horn sharks.', 'If investigations require accurate liquid measurements, then sharks include horn sharks.', 'Should it be the case that atrial flutter is a rapid, regular heartbeat in which the atria pump very rapidly, it follows that several proteins are required for the foot projections to wrap around the capillaries and function.', "Whenever it is true that if atrial flutter is a rapid, regular heartbeat in which the atria pump very rapidly, then several proteins are required for the foot projections to wrap around the capillaries and function, 'preparatory grief refers to going through the stages of grief before a loss event occurs' is true.", 'Assuming preparatory grief refers to going through the stages of grief before a loss event occurs, we know that if human beings excrete mainly urea, which is eliminated in urine, then if sharks include horn sharks, then either rivers mostly follow a winding course in their alluvial plane or timing is the key to cooking fish.']
|
Assuming timing is the key to cooking fish, we know that either heterosexuals have histories of failure in lesbian relationships or most deciduous trees can survive a moderate degree of defoliation. The statement, rivers mostly follow a winding course in their alluvial plane, does not hold. Either human beings excrete mainly urea, which is eliminated in urine or moisture also has a significant effect on chinch bug populations. So long as moisture also has a significant effect on chinch bug populations, 'if sharks include horn sharks, then either rivers mostly follow a winding course in their alluvial plane or timing is the key to cooking fish' is true. It is a fact that either artificial insemination is the way forward in extending the gene pool worldwide or investigations require accurate liquid measurements. Should it be the case that artificial insemination is the way forward in extending the gene pool worldwide, it follows that sharks include horn sharks. If investigations require accurate liquid measurements, then sharks include horn sharks. Should it be the case that atrial flutter is a rapid, regular heartbeat in which the atria pump very rapidly, it follows that several proteins are required for the foot projections to wrap around the capillaries and function. Whenever it is true that if atrial flutter is a rapid, regular heartbeat in which the atria pump very rapidly, then several proteins are required for the foot projections to wrap around the capillaries and function, 'preparatory grief refers to going through the stages of grief before a loss event occurs' is true. Assuming preparatory grief refers to going through the stages of grief before a loss event occurs, we know that if human beings excrete mainly urea, which is eliminated in urine, then if sharks include horn sharks, then either rivers mostly follow a winding course in their alluvial plane or timing is the key to cooking fish.
|
Either heterosexuals have histories of failure in lesbian relationships or most deciduous trees can survive a moderate degree of defoliation.
|
Either heterosexuals have histories of failure in lesbian relationships or most deciduous trees can survive a moderate degree of defoliation.
|
TRUE
|
Modus Ponens:
If [2], then (Either [0] or [1].).
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or [2]. [SC1-2]
Not [3].
Therefore, [2].
[SC1-2]
Modus Ponens:
If [4], then (Either [3] or [2].). [SC1-3]
[4] [SC2-3]
Therefore, Either [3] or [2]..
[SC1-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [4], then (Either [3] or [2].).). [SC2-4]
If [6], then (If [4], then (Either [3] or [2].).).
Therefore, If [4], then (Either [3] or [2].)..
[SC2-4]
Modus Ponens:
If (If [9], then [10].), then (If [5], then (If [4], then (Either [3] or [2].).).). [SC1-5]
If [9], then [10].
Therefore, If [5], then (If [4], then (Either [3] or [2].).)..
[SC1-5]
Hypothetical Syllogism:
If (If [9], then [10].), then [11].
If [11], then (If [5], then (If [4], then (Either [3] or [2].).).).
Therefore, If (If [9], then [10].), then (If [5], then (If [4], then (Either [3] or [2].).).)..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then [4].
If [8], then [4].
Therefore, [4].
|
{0: 'Heterosexuals have histories of failure in lesbian relationships.', 1: 'Most deciduous trees can survive a moderate degree of defoliation.', 2: 'Timing is the key to cooking fish.', 3: 'Rivers mostly follow a winding course in their alluvial plane.', 4: 'Sharks include horn sharks.', 5: 'Human beings excrete mainly urea, which is eliminated in urine.', 6: 'Moisture also has a significant effect on chinch bug populations.', 7: 'Artificial insemination is the way forward in extending the gene pool worldwide.', 8: 'Investigations require accurate liquid measurements.', 9: 'Atrial flutter is a rapid, regular heartbeat in which the atria pump very rapidly.', 10: 'Several proteins are required for the foot projections to wrap around the capillaries and function.', 11: 'Preparatory grief refers to going through the stages of grief before a loss event occurs.'}
| 7 |
6,876 |
["Either most fibrous membranes cover bones or if the statement that 'most fresh meat provides nutrients' is incorrect, then bacteria feed on matter.", 'When most fibrous membranes cover bones is true, it follows that vegetarians have lower urinary excretion.', 'The claim that vegetarians have lower urinary excretion is false.', 'Given that if humans take in oxygen, food and water, and expel carbon dioxide and organic waste, then nuSun oil has a heart-healthy fatty acid profile, high in monounsaturates, it can be inferred that if bacteria feed on matter, then either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest.', "Whenever it is true that humans take in oxygen, food and water, and expel carbon dioxide and organic waste, 'nuSun oil has a heart-healthy fatty acid profile, high in monounsaturates' is true.", 'Given that the claim that if bacteria feed on matter, then it is a common misconception that either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest does not correspond with reality, it can be inferred that we know that the claim that success is a constraint on the development of others is false.', 'Once we know we know that the claim that if the claim that if bacteria feed on matter, then it is a common misconception that either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest does not correspond with reality, then success is a constraint on the development of others is false, we also know that numbers play an important role because the scale of the energy needed to keep out society is huge.', "The notion that 'numbers play an important role because the scale of the energy needed to keep out society is huge' is untrue."]
|
Either most fibrous membranes cover bones or if the statement that 'most fresh meat provides nutrients' is incorrect, then bacteria feed on matter. When most fibrous membranes cover bones is true, it follows that vegetarians have lower urinary excretion. The claim that vegetarians have lower urinary excretion is false. Given that if humans take in oxygen, food and water, and expel carbon dioxide and organic waste, then nuSun oil has a heart-healthy fatty acid profile, high in monounsaturates, it can be inferred that if bacteria feed on matter, then either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest. Whenever it is true that humans take in oxygen, food and water, and expel carbon dioxide and organic waste, 'nuSun oil has a heart-healthy fatty acid profile, high in monounsaturates' is true. Given that the claim that if bacteria feed on matter, then it is a common misconception that either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest does not correspond with reality, it can be inferred that we know that the claim that success is a constraint on the development of others is false. Once we know we know that the claim that if the claim that if bacteria feed on matter, then it is a common misconception that either carols are songs from the past and the present, from far and near or epiphytes make up a huge part of the biodiversity in a rainforest does not correspond with reality, then success is a constraint on the development of others is false, we also know that numbers play an important role because the scale of the energy needed to keep out society is huge. The notion that 'numbers play an important role because the scale of the energy needed to keep out society is huge' is untrue.
|
It is the case that most fresh meat provides nutrients.
|
Fresh meat is a perishable food.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (Not [0].), then [1].).
Not [4]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If [4], then [6].
Not [6].
Therefore, Not [4]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [2] or [3].). [SC1-2]
If [1], then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If (If [7], then [8].), then (If [1], then (Either [2] or [3].).).
If [7], then [8].
Therefore, If [1], then (Either [2] or [3].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not (Either [2] or [3].).).).), then [5]. [SC1-3]
If (Not (If [1], then (Not (Either [2] or [3].).).).), then (Not [5].).
Therefore, If [1], then (Not (Either [2] or [3].).)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [1], then (Not (Either [2] or [3].).).).), then [5].).), then [9].
Not [9].
Therefore, If (Not (If [1], then (Not (Either [2] or [3].).).).), then [5]..
|
{0: 'Most fresh meat provides nutrients.', 1: 'Bacteria feed on matter.', 2: 'Carols are songs from the past and the present, from far and near.', 3: 'Epiphytes make up a huge part of the biodiversity in a rainforest.', 4: 'Most fibrous membranes cover bones.', 5: 'Success is a constraint on the development of others.', 6: 'Vegetarians have lower urinary excretion.', 7: 'Humans take in oxygen, food and water, and expel carbon dioxide and organic waste.', 8: 'NuSun oil has a heart-healthy fatty acid profile, high in monounsaturates.', 9: 'Numbers play an important role because the scale of the energy needed to keep out society is huge.'}
| 7 |
6,101 |
['If larval mining causes conspicuous white blotches on the leaflets, which typically are comma-shaped, then if most children also act impulsively at times, then horizons are part of perspective.', 'Provided that maine is the toothpick capital of America, we know that if most children also act impulsively at times, then horizons are part of perspective.', 'There is good reason to believe that either comb jellies have a much simpler reproductive process or most children also act impulsively at times.', 'There is good reason to believe that either some cold medications contain both an expectorant and a cough suppressant or either larval mining causes conspicuous white blotches on the leaflets, which typically are comma-shaped or maine is the toothpick capital of America.', 'The claim that some cold medications contain both an expectorant and a cough suppressant does not reflect reality.', 'Those that suggest wrist watchs are watchs are wrong.', "Assuming the notion that 'either wrist watchs are watchs or the claim that comb jellies have a much simpler reproductive process has no merit' is untrue, we know that those that suggest penises are used for sexual intercourse are wrong.", "At least one of two things is true: necks have (part) bone cells, or if the notion that 'either wrist watchs are watchs or the claim that comb jellies have a much simpler reproductive process has no merit' is untrue, then penises are used for sexual intercourse.", 'We know that the claim that necks have (part) bone cells is false.']
|
If larval mining causes conspicuous white blotches on the leaflets, which typically are comma-shaped, then if most children also act impulsively at times, then horizons are part of perspective. Provided that maine is the toothpick capital of America, we know that if most children also act impulsively at times, then horizons are part of perspective. There is good reason to believe that either comb jellies have a much simpler reproductive process or most children also act impulsively at times. There is good reason to believe that either some cold medications contain both an expectorant and a cough suppressant or either larval mining causes conspicuous white blotches on the leaflets, which typically are comma-shaped or maine is the toothpick capital of America. The claim that some cold medications contain both an expectorant and a cough suppressant does not reflect reality. Those that suggest wrist watchs are watchs are wrong. Assuming the notion that 'either wrist watchs are watchs or the claim that comb jellies have a much simpler reproductive process has no merit' is untrue, we know that those that suggest penises are used for sexual intercourse are wrong. At least one of two things is true: necks have (part) bone cells, or if the notion that 'either wrist watchs are watchs or the claim that comb jellies have a much simpler reproductive process has no merit' is untrue, then penises are used for sexual intercourse. We know that the claim that necks have (part) bone cells is false.
|
The idea that horizons are part of perspective is true.
|
The idea that horizons are part of perspective is true.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (If [1], then [0].).
If [4], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (Either [3] or [4].).
Not [6].
Therefore, Either [3] or [4]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [2].). [SC1-3]
Not [5].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or (Not [2].).).), then [7]. [SC1-4]
If (Not (Either [5] or (Not [2].).).), then (Not [7].).
Therefore, Either [5] or (Not [2].)..
[SC1-4]
Disjunctive Syllogism:
Either [8] or (If (Not (Either [5] or (Not [2].).).), then [7].).
Not [8].
Therefore, If (Not (Either [5] or (Not [2].).).), then [7]..
|
{0: 'Horizons are part of perspective.', 1: 'Most children also act impulsively at times.', 2: 'Comb jellies have a much simpler reproductive process.', 3: 'Larval mining causes conspicuous white blotches on the leaflets, which typically are comma-shaped.', 4: 'Maine is the toothpick capital of America.', 5: 'Wrist watchs are watchs.', 6: 'Some cold medications contain both an expectorant and a cough suppressant.', 7: 'Penises are used for sexual intercourse.', 8: 'Necks have (part) bone cells.'}
| 7 |
6,615 |
['Once we know purines are double ring structures, we also know that if limestone is porous material and age and exposure to the elements created breaks in the limestone, then therapists also have different levels of training and talent.', 'We can assume that purines are double ring structures.', 'At least one of two things is true: if anthracnose fruit rot is one problem which is showing up on fall fruiting cultivars, then some muntjacs prefer shrub grassland, or most mice share several characteristics.', "Whenever it is true that most mice share several characteristics, 'if therapists also have different levels of training and talent, then bacterial pneumonia is the most common serious complication of influenza' is true.", 'There is good reason to believe that either either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power or if if anthracnose fruit rot is one problem which is showing up on fall fruiting cultivars, then some muntjacs prefer shrub grassland, then if therapists also have different levels of training and talent, then bacterial pneumonia is the most common serious complication of influenza.', "So long as residue isa matter, 'the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold' is true.", 'Either thermal energy flows from high temperature or ventricular fibrillation is diseases.', 'Given that thermal energy flows from high temperature, it can be inferred that residue isa matter.', 'When ventricular fibrillation is diseases is true, it follows that biennials live during two growing seasons.', 'It is a fact that either hamsters should have diets or malayan has (part) plasma membranes.', 'Once we know hamsters should have diets, we also know that if biennials live during two growing seasons, then the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold.', 'Provided that malayan has (part) plasma membranes, we know that if biennials live during two growing seasons, then the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold.']
|
Once we know purines are double ring structures, we also know that if limestone is porous material and age and exposure to the elements created breaks in the limestone, then therapists also have different levels of training and talent. We can assume that purines are double ring structures. At least one of two things is true: if anthracnose fruit rot is one problem which is showing up on fall fruiting cultivars, then some muntjacs prefer shrub grassland, or most mice share several characteristics. Whenever it is true that most mice share several characteristics, 'if therapists also have different levels of training and talent, then bacterial pneumonia is the most common serious complication of influenza' is true. There is good reason to believe that either either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power or if if anthracnose fruit rot is one problem which is showing up on fall fruiting cultivars, then some muntjacs prefer shrub grassland, then if therapists also have different levels of training and talent, then bacterial pneumonia is the most common serious complication of influenza. So long as residue isa matter, 'the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold' is true. Either thermal energy flows from high temperature or ventricular fibrillation is diseases. Given that thermal energy flows from high temperature, it can be inferred that residue isa matter. When ventricular fibrillation is diseases is true, it follows that biennials live during two growing seasons. It is a fact that either hamsters should have diets or malayan has (part) plasma membranes. Once we know hamsters should have diets, we also know that if biennials live during two growing seasons, then the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold. Provided that malayan has (part) plasma membranes, we know that if biennials live during two growing seasons, then the statement, either some organisms are observed alive while others are dead and preserved in various ways or many countries have national legislation in place to avoid excessive market power, does not hold.
|
One may reasonably assume that if limestone is porous material and age and exposure to the elements created breaks in the limestone, then bacterial pneumonia is the most common serious complication of influenza.
|
So long as limestone caves displaying stalactites, 'bacterial pneumonia is the most common serious complication of influenza' is true.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Ponens:
If [6], then (If [0], then [2].).
[6]
Therefore, If [0], then [2]..
[SC2-1]
Disjunction Elimination:
Either (If [3], then [4].) or [5].
If (If [3], then [4].), then (If [2], then [1].). [SC2-2]
If [5], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (If (If [3], then [4].), then (If [2], then [1].).).
Not (Either [7] or [8].). [SC2-3]
Therefore, If (If [3], then [4].), then (If [2], then [1].)..
[SC2-3]
Disjunction Elimination:
Either [9] or [10]. [SC1-4]
If [9], then (Not (Either [7] or [8].).).
If [10], then (Not (Either [7] or [8].).). [SC3-4]
Therefore, Not (Either [7] or [8].)..
[SC1-4]
Constructive Dilemma:
Either [11] or [12].
If [11], then [9].
If [12], then [10].
Therefore, Either [9] or [10]..
[SC3-4]
Disjunction Elimination:
Either [13] or [14].
If [13], then (If [10], then (Not (Either [7] or [8].).).).
If [14], then (If [10], then (Not (Either [7] or [8].).).).
Therefore, If [10], then (Not (Either [7] or [8].).)..
|
{0: 'Limestone is porous material and age and exposure to the elements created breaks in the limestone.', 1: 'Bacterial pneumonia is the most common serious complication of influenza.', 2: 'Therapists also have different levels of training and talent.', 3: 'Anthracnose fruit rot is one problem which is showing up on fall fruiting cultivars.', 4: 'Some muntjacs prefer shrub grassland.', 5: 'Most mice share several characteristics.', 6: 'Purines are double ring structures.', 7: 'Some organisms are observed alive while others are dead and preserved in various ways.', 8: 'Many countries have national legislation in place to avoid excessive market power.', 9: 'Residue isa matter.', 10: 'Biennials live during two growing seasons.', 11: 'Thermal energy flows from high temperature.', 12: 'Ventricular fibrillation is diseases.', 13: 'Hamsters should have diets.', 14: 'Malayan has (part) plasma membranes.'}
| 7 |
6,520 |
['Some people mistakenly believe that buffs have (part) legs.', 'It is a common misconception that whales eat zooplankton.', 'Once we know the claim that either most dams release cold water or if plants are said to make their own food and are known as producers, then buffs have (part) legs is false, we also know that dictionaries are located in classrooms.', 'If dictionaries are located in classrooms, then if smokers increase the risk of heart disease by a factor of four, then car crashes cause some three million injuries annually.', 'Assuming water is located in wells, we know that some people mistakenly believe that if smokers increase the risk of heart disease by a factor of four, then car crashes cause some three million injuries annually.', 'It is a simple truth that water is located in wells.', 'We know that either arnica tablets work quickly, and have no side effects or young ferrets look like mice when they are born and their eyes are shut.', 'Should it be the case that arnica tablets work quickly, and have no side effects, it follows that whales eat zooplankton.', 'Provided that young ferrets look like mice when they are born and their eyes are shut, we know that the claim that most dams release cold water does not correspond with reality.']
|
Some people mistakenly believe that buffs have (part) legs. It is a common misconception that whales eat zooplankton. Once we know the claim that either most dams release cold water or if plants are said to make their own food and are known as producers, then buffs have (part) legs is false, we also know that dictionaries are located in classrooms. If dictionaries are located in classrooms, then if smokers increase the risk of heart disease by a factor of four, then car crashes cause some three million injuries annually. Assuming water is located in wells, we know that some people mistakenly believe that if smokers increase the risk of heart disease by a factor of four, then car crashes cause some three million injuries annually. It is a simple truth that water is located in wells. We know that either arnica tablets work quickly, and have no side effects or young ferrets look like mice when they are born and their eyes are shut. Should it be the case that arnica tablets work quickly, and have no side effects, it follows that whales eat zooplankton. Provided that young ferrets look like mice when they are born and their eyes are shut, we know that the claim that most dams release cold water does not correspond with reality.
|
The claim that plants are said to make their own food and are known as producers does not reflect reality.
|
The claim that plants survive cold winter nights is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If [0], then [1].).).), then (If [3], then [4].). [SC1-3]
Not (If [3], then [4].). [SC2-3]
Therefore, Either [2] or (If [0], then [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [2] or (If [0], then [1].).).), then [9].
If [9], then (If [3], then [4].).
Therefore, If (Not (Either [2] or (If [0], then [1].).).), then (If [3], then [4].)..
[SC2-3]
Modus Ponens:
If [6], then (Not (If [3], then [4].).).
[6]
Therefore, Not (If [3], then [4].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [2].). [SC1-3]
Not [5].
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5].
If [8], then (Not [2].).
Therefore, Either [5] or (Not [2].)..
|
{0: 'Plants are said to make their own food and are known as producers.', 1: 'Buffs have (part) legs.', 2: 'Most dams release cold water.', 3: 'Smokers increase the risk of heart disease by a factor of four.', 4: 'Car crashes cause some three million injuries annually.', 5: 'Whales eat zooplankton.', 6: 'Water is located in wells.', 7: 'Arnica tablets work quickly, and have no side effects.', 8: 'Young ferrets look like mice when they are born and their eyes are shut.', 9: 'Dictionaries are located in classrooms.'}
| 7 |
6,249 |
['The idea that freezers keep ice is true.', 'It is not the case that humans have the red-colored pigment hemoglobin as their respiratory pigment.', "Whenever it is true that cattail plants have use, 'if frequency distributions is one way that data is presented, then if geological engineers work with the environment in the true sense of the word, then perennial ryegrass is quite susceptible to winter damage' is true.", 'It is the case that cattail plants have use.', 'Once we know freezers keep ice, we also know that stepmothers have (part) cells.', 'Should it be the case that incentive plans consist of any form of reward used by employers to motivate employees, it follows that either humans have the red-colored pigment hemoglobin as their respiratory pigment or if a poor people is a people, then if geological engineers work with the environment in the true sense of the word, then perennial ryegrass is quite susceptible to winter damage.', 'It is reasonable to believe that incentive plans consist of any form of reward used by employers to motivate employees.', "Assuming the notion that 'if stepmothers have (part) cells, then either a poor people is a people or frequency distributions is one way that data is presented' is untrue, we know that asbestos is also present in the backing on some vinyl sheet flooring.", "The statement that 'asbestos is also present in the backing on some vinyl sheet flooring' is incorrect."]
|
The idea that freezers keep ice is true. It is not the case that humans have the red-colored pigment hemoglobin as their respiratory pigment. Whenever it is true that cattail plants have use, 'if frequency distributions is one way that data is presented, then if geological engineers work with the environment in the true sense of the word, then perennial ryegrass is quite susceptible to winter damage' is true. It is the case that cattail plants have use. Once we know freezers keep ice, we also know that stepmothers have (part) cells. Should it be the case that incentive plans consist of any form of reward used by employers to motivate employees, it follows that either humans have the red-colored pigment hemoglobin as their respiratory pigment or if a poor people is a people, then if geological engineers work with the environment in the true sense of the word, then perennial ryegrass is quite susceptible to winter damage. It is reasonable to believe that incentive plans consist of any form of reward used by employers to motivate employees. Assuming the notion that 'if stepmothers have (part) cells, then either a poor people is a people or frequency distributions is one way that data is presented' is untrue, we know that asbestos is also present in the backing on some vinyl sheet flooring. The statement that 'asbestos is also present in the backing on some vinyl sheet flooring' is incorrect.
|
Assuming geological engineers work with the environment in the true sense of the word, we know that perennial ryegrass is quite susceptible to winter damage.
|
Given that geological engineers work with the environment in the true sense of the word, it can be inferred that perennial ryegrass is the grass species most associated with facial eczema.
|
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 Ponens:
If [4], then (Either [2] or [3].). [SC1-2]
[4]
Therefore, Either [2] or [3]..
[SC1-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then (Either [2] or [3].). [SC2-3]
Therefore, If [4], then (Either [2] or [3].)..
[SC2-3]
Modus Tonens:
If (Not (If [7], then (Either [2] or [3].).).), then [9].
Not [9].
Therefore, If [7], then (Either [2] or [3].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then (If [0], then [1].).). [SC1-2]
Not [5].
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Modus Ponens:
If [8], then (Either [5] or (If [2], then (If [0], then [1].).).).
[8]
Therefore, Either [5] or (If [2], then (If [0], then [1].).)..
[SC3-1]
Modus Ponens:
If [6], then (If [3], then (If [0], then [1].).).
[6]
Therefore, If [3], then (If [0], then [1].)..
|
{0: 'Geological engineers work with the environment in the true sense of the word.', 1: 'Perennial ryegrass is quite susceptible to winter damage.', 2: 'A poor people is a people.', 3: 'Frequency distributions is one way that data is presented.', 4: 'Freezers keep ice.', 5: 'Humans have the red-colored pigment hemoglobin as their respiratory pigment.', 6: 'Cattail plants have use.', 7: 'Stepmothers have (part) cells.', 8: 'Incentive plans consist of any form of reward used by employers to motivate employees.', 9: 'Asbestos is also present in the backing on some vinyl sheet flooring.'}
| 7 |
6,278 |
['We know that the claim that either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults is false.', "So long as the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, 'it is a common misconception that ceramic molds are less likely to dissolve during use than gypsum plaster molds' is true.", "The statement 'fleas feed on blood from the pet for about a week, then jump off to lay their eggs' is true.", 'We know that either individuals suffer from fatigue or either regions have dry seasons or some mollusks have importance.', 'Provided that individuals suffer from fatigue, we know that if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds.', "Provided that either many signs point to birds as the primary carrier of the disease or exhaust systems are mechanical devices, we know that if fleas feed on blood from the pet for about a week, then jump off to lay their eggs, then the statement that 'some diseases consume the body like wildfire' is incorrect.", 'We know that either many signs point to birds as the primary carrier of the disease or exhaust systems are mechanical devices.', "When the notion that 'if either regions have dry seasons or some mollusks have importance, then if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds' is untrue is true, it follows that steel expands or contracts if there's a temperature shift.", "Whenever it is true that the notion that 'if either regions have dry seasons or some mollusks have importance, then if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds' is untrue, 'some people mistakenly believe that steel expands or contracts if there's a temperature shift' is true."]
|
We know that the claim that either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults is false. So long as the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, 'it is a common misconception that ceramic molds are less likely to dissolve during use than gypsum plaster molds' is true. The statement 'fleas feed on blood from the pet for about a week, then jump off to lay their eggs' is true. We know that either individuals suffer from fatigue or either regions have dry seasons or some mollusks have importance. Provided that individuals suffer from fatigue, we know that if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds. Provided that either many signs point to birds as the primary carrier of the disease or exhaust systems are mechanical devices, we know that if fleas feed on blood from the pet for about a week, then jump off to lay their eggs, then the statement that 'some diseases consume the body like wildfire' is incorrect. We know that either many signs point to birds as the primary carrier of the disease or exhaust systems are mechanical devices. When the notion that 'if either regions have dry seasons or some mollusks have importance, then if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds' is untrue is true, it follows that steel expands or contracts if there's a temperature shift. Whenever it is true that the notion that 'if either regions have dry seasons or some mollusks have importance, then if the claim that if those that suggest either either some countries are more vulnerable to corruption than others or traffic crashes are the leading cause of death for children and young adults or many flowers have both male and female organs and are called perfect flowers are wrong, then some diseases consume the body like wildfire has no merit, then ceramic molds are less likely to dissolve during use than gypsum plaster molds' is untrue, 'some people mistakenly believe that steel expands or contracts if there's a temperature shift' is true.
|
Many people rightly believe that many flowers have both male and female organs and are called perfect flowers.
|
Many people rightly believe that many flowers have both male and female organs and are called perfect flowers.
|
TRUE
|
Disjunctive Syllogism:
Either (Either [1] or [2].) or [0]. [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either (Either [1] or [2].) or [0].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Either (Either [1] or [2].) or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4]. [SC1-3]
If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then (Not [4].).
Therefore, If (Not (Either (Either [1] or [2].) or [0].).), then [3]..
[SC1-3]
Disjunction Elimination:
Either [8] or (Either [9] or [10].).
If [8], then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4].).
If (Either [9] or [10].), then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4].). [SC3-4]
Therefore, If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4]..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If (Either [9] or [10].), then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4].).).), then [11].
If (Not (If (Either [9] or [10].), then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4].).).), then (Not [11].).
Therefore, If (Either [9] or [10].), then (If (Not (If (Not (Either (Either [1] or [2].) or [0].).), then [3].).), then [4].)..
[SC2-2]
Modus Ponens:
If [5], then (Not [3].). [SC1-3]
[5]
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If (Either [6] or [7].), then (If [5], then (Not [3].).).
Either [6] or [7].
Therefore, If [5], then (Not [3].)..
|
{0: 'Many flowers have both male and female organs and are called perfect flowers.', 1: 'Some countries are more vulnerable to corruption than others.', 2: 'Traffic crashes are the leading cause of death for children and young adults.', 3: 'Some diseases consume the body like wildfire.', 4: 'Ceramic molds are less likely to dissolve during use than gypsum plaster molds.', 5: 'Fleas feed on blood from the pet for about a week, then jump off to lay their eggs.', 6: 'Many signs point to birds as the primary carrier of the disease.', 7: 'Exhaust systems are mechanical devices.', 8: 'Individuals suffer from fatigue.', 9: 'Regions have dry seasons.', 10: 'Some mollusks have importance.', 11: "Steel expands or contracts if there's a temperature shift."}
| 7 |
6,424 |
["The notion that 'scientists study mass coral spawning on reefs in Florida' is untrue.", 'Those that suggest nouns can contain verbs and verbs can contain nouns are wrong.', "It is rational to believe that either all plants are multi-cellular and each plant cell is surrounded by a cell wall or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then the statement 'candidates have (part) cell membranes' can be considered false.", 'Assuming we know that the claim that either nouns can contain verbs and verbs can contain nouns or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then candidates have (part) cell membranes is false, we know that if tourism is one of the most dynamic and competitive industries in Canada and around the world, then amoeboid cells secrete the skeletal elements of the sponge.', 'At least one of two things is true: distemper is an animal disease, or those that suggest all plants are multi-cellular and each plant cell is surrounded by a cell wall are wrong.', 'The claim that distemper is an animal disease is false.', 'It is rational to believe that either stelae are stone slabs set within ceremonial centers depicting aspects a rulers life or if we know that the claim that either nouns can contain verbs and verbs can contain nouns or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then candidates have (part) cell membranes is false, then we know that the claim that if tourism is one of the most dynamic and competitive industries in Canada and around the world, then amoeboid cells secrete the skeletal elements of the sponge is false.', 'It is not the case that stelae are stone slabs set within ceremonial centers depicting aspects a rulers life.']
|
The notion that 'scientists study mass coral spawning on reefs in Florida' is untrue. Those that suggest nouns can contain verbs and verbs can contain nouns are wrong. It is rational to believe that either all plants are multi-cellular and each plant cell is surrounded by a cell wall or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then the statement 'candidates have (part) cell membranes' can be considered false. Assuming we know that the claim that either nouns can contain verbs and verbs can contain nouns or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then candidates have (part) cell membranes is false, we know that if tourism is one of the most dynamic and competitive industries in Canada and around the world, then amoeboid cells secrete the skeletal elements of the sponge. At least one of two things is true: distemper is an animal disease, or those that suggest all plants are multi-cellular and each plant cell is surrounded by a cell wall are wrong. The claim that distemper is an animal disease is false. It is rational to believe that either stelae are stone slabs set within ceremonial centers depicting aspects a rulers life or if we know that the claim that either nouns can contain verbs and verbs can contain nouns or if it is not true that if the statement that states either environments support children or approbation is approval is false, then scientists study mass coral spawning on reefs in Florida, then candidates have (part) cell membranes is false, then we know that the claim that if tourism is one of the most dynamic and competitive industries in Canada and around the world, then amoeboid cells secrete the skeletal elements of the sponge is false. It is not the case that stelae are stone slabs set within ceremonial centers depicting aspects a rulers life.
|
It is a fact that either environments support children or approbation is approval.
|
It is a fact that either environments support children or approbation is approval.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2].
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]. [SC1-2]
If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].). [SC1-3]
Not [5].
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).).), then (If [6], then [7].).
If (Not (Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).).), then (Not (If [6], then [7].).). [SC2-4]
Therefore, Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].)..
[SC2-4]
Disjunctive Syllogism:
Either [9] or (If (Not (Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).).), then (Not (If [6], then [7].).).).
Not [9].
Therefore, If (Not (Either [5] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3].).).), then (Not (If [6], then [7].).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].).).
Not [4]. [SC2-3]
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not [4].).
Not [8].
Therefore, Not [4]..
|
{0: 'Environments support children.', 1: 'Approbation is approval.', 2: 'Scientists study mass coral spawning on reefs in Florida.', 3: 'Candidates have (part) cell membranes.', 4: 'All plants are multi-cellular and each plant cell is surrounded by a cell wall.', 5: 'Nouns can contain verbs and verbs can contain nouns.', 6: 'Tourism is one of the most dynamic and competitive industries in Canada and around the world.', 7: 'Amoeboid cells secrete the skeletal elements of the sponge.', 8: 'Distemper is an animal disease.', 9: 'Stelae are stone slabs set within ceremonial centers depicting aspects a rulers life.'}
| 7 |
6,384 |
["Whenever it is true that women receive better nutrition, 'either either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence or green plants find in pasture' is true.", 'The claim that women receive better nutrition holds true.', 'We know that either malaria leads to anaemia, a maternal and infant mortality factor or if green plants find in pasture, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food.', "Whenever it is true that some foods do have a direct impact upon the body, 'if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then warm air can hold more water as vapor than cold air' is true.", "The statement 'some foods do have a direct impact upon the body' can be considered true.", 'Given that some people mistakenly believe that if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then the claim that warm air can hold more water as vapor than cold air has no merit, it can be inferred that either database replication involves copying a database and synchronizing the copies or antibodies respond to antigens by latching to, or binding with antigens.', 'Assuming some people mistakenly believe that if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then the claim that warm air can hold more water as vapor than cold air has no merit, we know that the claim that either database replication involves copying a database and synchronizing the copies or antibodies respond to antigens by latching to, or binding with antigens does not reflect reality.', "So long as malaria leads to anaemia, a maternal and infant mortality factor, 'water oak appears on a wide variety of sites ranging from wet bottom lands to well-drained uplands' is true.", "Provided that malaria leads to anaemia, a maternal and infant mortality factor, we know that the statement that 'water oak appears on a wide variety of sites ranging from wet bottom lands to well-drained uplands' is incorrect."]
|
Whenever it is true that women receive better nutrition, 'either either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence or green plants find in pasture' is true. The claim that women receive better nutrition holds true. We know that either malaria leads to anaemia, a maternal and infant mortality factor or if green plants find in pasture, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food. Whenever it is true that some foods do have a direct impact upon the body, 'if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then warm air can hold more water as vapor than cold air' is true. The statement 'some foods do have a direct impact upon the body' can be considered true. Given that some people mistakenly believe that if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then the claim that warm air can hold more water as vapor than cold air has no merit, it can be inferred that either database replication involves copying a database and synchronizing the copies or antibodies respond to antigens by latching to, or binding with antigens. Assuming some people mistakenly believe that if the statement, if either jaguars are territorial or assistive technology is any device or assistive aid which provides access toward independence, then wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food, does not hold, then the claim that warm air can hold more water as vapor than cold air has no merit, we know that the claim that either database replication involves copying a database and synchronizing the copies or antibodies respond to antigens by latching to, or binding with antigens does not reflect reality. So long as malaria leads to anaemia, a maternal and infant mortality factor, 'water oak appears on a wide variety of sites ranging from wet bottom lands to well-drained uplands' is true. Provided that malaria leads to anaemia, a maternal and infant mortality factor, we know that the statement that 'water oak appears on a wide variety of sites ranging from wet bottom lands to well-drained uplands' is incorrect.
|
It is true that wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food.
|
It is true that wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [5], then (Either (Either [1] or [2].) or [3].).
[5]
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then [0].).), then [4]. [SC1-2]
If (Not (If (Either [1] or [2].), then [0].).), then (Not [4].). [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC1-2]
Modus Ponens:
If [10], then (If (Not (If (Either [1] or [2].), then [0].).), then [4].).
[10]
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then (Not [4].).).), then (Either [8] or [9].).
If (Not (If (Not (If (Either [1] or [2].), then [0].).), then (Not [4].).).), then (Not (Either [8] or [9].).).
Therefore, If (Not (If (Either [1] or [2].), then [0].).), then (Not [4].)..
[SC3-1]
Disjunctive Syllogism:
Either [6] or (If [3], then [0].).
Not [6]. [SC2-2]
Therefore, If [3], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If [6], then [7].
If [6], then (Not [7].).
Therefore, Not [6]..
|
{0: 'Wapiti rely heavily on the grasslands of the montane forest in the Bow Valley for winter food.', 1: 'Jaguars are territorial.', 2: 'Assistive technology is any device or assistive aid which provides access toward independence.', 3: 'Green plants find in pasture.', 4: 'Warm air can hold more water as vapor than cold air.', 5: 'Women receive better nutrition.', 6: 'Malaria leads to anaemia, a maternal and infant mortality factor.', 7: 'Water oak appears on a wide variety of sites ranging from wet bottom lands to well-drained uplands.', 8: 'Database replication involves copying a database and synchronizing the copies.', 9: 'Antibodies respond to antigens by latching to, or binding with antigens.', 10: 'Some foods do have a direct impact upon the body.'}
| 7 |
6,395 |
["When the statement 'if either nutrients go in and toxins are drawn out or anger results in an increased emphasis on self centered wants, often at the expense of others, then caterpillars bury eggs' can be considered false is true, it follows that berries are light in color with a good scar and firmness.", "Provided that water bring dissolve oxygen to embryo, we know that the statement 'caterpillars bury eggs' can be considered false.", 'It is a simple truth that water bring dissolve oxygen to embryo.', 'We know that the claim that if scientists say children who sleep with a light on are more likely to grow up myopic or near-sighted, then friendship is an exchange of respect is false.', 'It is rational to believe that either moss grows in environments or either if scientists say children who sleep with a light on are more likely to grow up myopic or near-sighted, then friendship is an exchange of respect or it is not true that berries are light in color with a good scar and firmness.', 'The statement that states hamsters are great pets and can easily become good friends over time is false.', 'Either plastic industries serve customers or few pests bother grasses.', "So long as plastic industries serve customers, 'hamsters are great pets and can easily become good friends over time' is true.", 'If few pests bother grasses, then the claim that moss grows in environments does not reflect reality.']
|
When the statement 'if either nutrients go in and toxins are drawn out or anger results in an increased emphasis on self centered wants, often at the expense of others, then caterpillars bury eggs' can be considered false is true, it follows that berries are light in color with a good scar and firmness. Provided that water bring dissolve oxygen to embryo, we know that the statement 'caterpillars bury eggs' can be considered false. It is a simple truth that water bring dissolve oxygen to embryo. We know that the claim that if scientists say children who sleep with a light on are more likely to grow up myopic or near-sighted, then friendship is an exchange of respect is false. It is rational to believe that either moss grows in environments or either if scientists say children who sleep with a light on are more likely to grow up myopic or near-sighted, then friendship is an exchange of respect or it is not true that berries are light in color with a good scar and firmness. The statement that states hamsters are great pets and can easily become good friends over time is false. Either plastic industries serve customers or few pests bother grasses. So long as plastic industries serve customers, 'hamsters are great pets and can easily become good friends over time' is true. If few pests bother grasses, then the claim that moss grows in environments does not reflect reality.
|
It is not true that either nutrients go in and toxins are drawn out or anger results in an increased emphasis on self centered wants, often at the expense of others.
|
It is not true that either nutrients go in and toxins are drawn out or anger results in an increased emphasis on self centered wants, often at the expense of others.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Modus Tonens:
If (Not (If (Either [0] or [1].), then [2].).), then [4].
Not [4]. [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Not [4].). [SC1-3]
Not (If [5], then [6].).
Therefore, Not [4]..
[SC1-3]
Disjunctive Syllogism:
Either [7] or (Either (If [5], then [6].) or (Not [4].).).
Not [7]. [SC2-4]
Therefore, Either (If [5], then [6].) or (Not [4].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (Not [7].). [SC1-5]
Not [8].
Therefore, Not [7]..
[SC1-5]
Constructive Dilemma:
Either [9] or [10].
If [9], then [8].
If [10], then (Not [7].).
Therefore, Either [8] or (Not [7].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [2].).
[3]
Therefore, Not [2]..
|
{0: 'Nutrients go in and toxins are drawn out.', 1: 'Anger results in an increased emphasis on self centered wants, often at the expense of others.', 2: 'Caterpillars bury eggs.', 3: 'Water bring dissolve oxygen to embryo.', 4: 'Berries are light in color with a good scar and firmness.', 5: 'Scientists say children who sleep with a light on are more likely to grow up myopic or near-sighted.', 6: 'Friendship is an exchange of respect.', 7: 'Moss grows in environments.', 8: 'Hamsters are great pets and can easily become good friends over time.', 9: 'Plastic industries serve customers.', 10: 'Few pests bother grasses.'}
| 7 |
6,054 |
["The notion that 'if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death' is untrue.", 'There is good reason to believe that either chat rooms are used for conversations or african Elephants have larger ears.', 'On the condition that chat rooms are used for conversations, it is definitely the case that if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death.', "Whenever it is true that some solar radiation causes power, 'aphids have thin legs and long, thin antennae' is true.", "The statement 'some solar radiation causes power' can be considered true.", 'We know that either some sharks eat marine mammals or ribosomes are other organelles which synthesize proteins.', 'There is good reason to believe that either adverbs modify verbs, adjectives, and other adverbs and tell how, when, where, and how much or either arab literature abounds with books on music and singing or common cordgrasses grow in intertidal zones.', 'When adverbs modify verbs, adjectives, and other adverbs and tell how, when, where, and how much is true, it follows that if some sharks eat marine mammals, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death.', 'On the condition that either arab literature abounds with books on music and singing or common cordgrasses grow in intertidal zones, it is definitely the case that if some sharks eat marine mammals, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death.', 'We know that at least one of two things is true: several amines serve as synomones in pollination, or if ribosomes are other organelles which synthesize proteins, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death.', 'The statement, several amines serve as synomones in pollination, does not hold.']
|
The notion that 'if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death' is untrue. There is good reason to believe that either chat rooms are used for conversations or african Elephants have larger ears. On the condition that chat rooms are used for conversations, it is definitely the case that if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death. Whenever it is true that some solar radiation causes power, 'aphids have thin legs and long, thin antennae' is true. The statement 'some solar radiation causes power' can be considered true. We know that either some sharks eat marine mammals or ribosomes are other organelles which synthesize proteins. There is good reason to believe that either adverbs modify verbs, adjectives, and other adverbs and tell how, when, where, and how much or either arab literature abounds with books on music and singing or common cordgrasses grow in intertidal zones. When adverbs modify verbs, adjectives, and other adverbs and tell how, when, where, and how much is true, it follows that if some sharks eat marine mammals, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death. On the condition that either arab literature abounds with books on music and singing or common cordgrasses grow in intertidal zones, it is definitely the case that if some sharks eat marine mammals, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death. We know that at least one of two things is true: several amines serve as synomones in pollination, or if ribosomes are other organelles which synthesize proteins, then if african Elephants have larger ears, then if aphids have thin legs and long, thin antennae, then if the statement, vibration affects tendons, muscles, joints and nerves, does not hold, then if banana production exceeds that of apple and almost that of all the citrus fruits combined, then severe heatstroke can lead to irreversible failure of internal organs and ultimately death. The statement, several amines serve as synomones in pollination, does not hold.
|
It is the case that vibration affects tendons, muscles, joints and nerves.
|
It is the case that vibration affects tendons, muscles, joints and nerves.
|
TRUE
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then (If [1], then [2].).). [SC1-2]
[3] [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).
If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).). [SC3-3]
Therefore, If [3], then (If (Not [0].), then (If [1], then [2].).)..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).). [SC2-4]
If [8], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).). [SC3-4]
Therefore, If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).)..
[SC2-4]
Disjunction Elimination:
Either [10] or (Either [11] or [12].).
If [10], then (If [7], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).).).
If (Either [11] or [12].), then (If [7], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).).).
Therefore, If [7], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).)..
[SC3-4]
Disjunctive Syllogism:
Either [9] or (If [8], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).).).
Not [9].
Therefore, If [8], then (If [6], then (If [3], then (If (Not [0].), then (If [1], then [2].).).).)..
[SC2-2]
Modus Ponens:
If [4], then [3].
[4]
Therefore, [3].
|
{0: 'Vibration affects tendons, muscles, joints and nerves.', 1: 'Banana production exceeds that of apple and almost that of all the citrus fruits combined.', 2: 'Severe heatstroke can lead to irreversible failure of internal organs and ultimately death.', 3: 'Aphids have thin legs and long, thin antennae.', 4: 'Some solar radiation causes power.', 5: 'Chat rooms are used for conversations.', 6: 'African Elephants have larger ears.', 7: 'Some sharks eat marine mammals.', 8: 'Ribosomes are other organelles which synthesize proteins.', 9: 'Several amines serve as synomones in pollination.', 10: 'Adverbs modify verbs, adjectives, and other adverbs and tell how, when, where, and how much .', 11: 'Arab literature abounds with books on music and singing.', 12: 'Common cordgrasses grow in intertidal zones.'}
| 7 |
6,034 |
['We know that either lists give information or if the statement, ammonia inhibits phagosome-lysome fusion in macrophages, does not hold, then tenure is a term.', 'On the condition that lists give information, it is definitely the case that some mullets inhabit marine water.', 'If lists give information, then the claim that some mullets inhabit marine water does not correspond with reality.', 'When the statement that states if tenure is a term, then hormone therapy goes by various names, depending on the hormones used is false is true, it follows that components improve benefits.', 'When the statement that states if tenure is a term, then hormone therapy goes by various names, depending on the hormones used is false is true, it follows that it is not true that components improve benefits.', 'It is a fact that either a horseradish sauce is a sauce or if tenure is a term, then it is not the case that hormone therapy goes by various names, depending on the hormones used.', 'Either double standards are standards or the claim that a horseradish sauce is a sauce has no merit.', 'The claim that double standards are standards is false.']
|
We know that either lists give information or if the statement, ammonia inhibits phagosome-lysome fusion in macrophages, does not hold, then tenure is a term. On the condition that lists give information, it is definitely the case that some mullets inhabit marine water. If lists give information, then the claim that some mullets inhabit marine water does not correspond with reality. When the statement that states if tenure is a term, then hormone therapy goes by various names, depending on the hormones used is false is true, it follows that components improve benefits. When the statement that states if tenure is a term, then hormone therapy goes by various names, depending on the hormones used is false is true, it follows that it is not true that components improve benefits. It is a fact that either a horseradish sauce is a sauce or if tenure is a term, then it is not the case that hormone therapy goes by various names, depending on the hormones used. Either double standards are standards or the claim that a horseradish sauce is a sauce has no merit. The claim that double standards are standards is false.
|
Those that suggest ammonia inhibits phagosome-lysome fusion in macrophages are right.
|
Those that suggest ammonia inhibits phagosome-lysome fusion in macrophages are right.
|
TRUE
|
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].).
Not [2]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [4].
If [2], then (Not [4].).
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [3]. [SC1-2]
If [1], then (Not [3].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [3].).), then [6].
If (Not (If [1], then [3].).), then (Not [6].).
Therefore, If [1], then [3]..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (If [1], then (Not [3].).).
Not [5]. [SC2-3]
Therefore, If [1], then (Not [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7].
Therefore, Not [5]..
|
{0: 'Ammonia inhibits phagosome-lysome fusion in macrophages.', 1: 'Tenure is a term.', 2: 'Lists give information.', 3: 'Hormone therapy goes by various names, depending on the hormones used.', 4: 'Some mullets inhabit marine water.', 5: 'A horseradish sauce is a sauce.', 6: 'Components improve benefits.', 7: 'Double standards are standards.'}
| 7 |
6,271 |
["So long as most pine squirrels eat diets, 'multiracial children bear a special burden' is true.", 'Provided that stigma prompts many people to avoid work and socialization, we know that if most pine squirrels eat diets, then those that suggest multiracial children bear a special burden are wrong.', "When the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect is true, it follows that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant.", 'Either light radiation is seen to blast from the tip of one cone to the other or if elemental sulfur is one of the oldest fungicides and pesticides, then stigma prompts many people to avoid work and socialization.', 'The claim that light radiation is seen to blast from the tip of one cone to the other does not correspond with reality.', "When the claim that if the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect, then it is not the case that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant is false is true, it follows that the statement that 'either television is based on photoelectric technology or identity is a very complex aspect of human nature' is incorrect.", "Should it be the case that it is a common misconception that if the claim that if the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect, then it is not the case that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant is false, then either television is based on photoelectric technology or identity is a very complex aspect of human nature, it follows that ivory is the smooth, solid, usually white material that makes up the tusks of elephants.", 'We know that the claim that ivory is the smooth, solid, usually white material that makes up the tusks of elephants is false.']
|
So long as most pine squirrels eat diets, 'multiracial children bear a special burden' is true. Provided that stigma prompts many people to avoid work and socialization, we know that if most pine squirrels eat diets, then those that suggest multiracial children bear a special burden are wrong. When the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect is true, it follows that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant. Either light radiation is seen to blast from the tip of one cone to the other or if elemental sulfur is one of the oldest fungicides and pesticides, then stigma prompts many people to avoid work and socialization. The claim that light radiation is seen to blast from the tip of one cone to the other does not correspond with reality. When the claim that if the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect, then it is not the case that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant is false is true, it follows that the statement that 'either television is based on photoelectric technology or identity is a very complex aspect of human nature' is incorrect. Should it be the case that it is a common misconception that if the claim that if the statement that 'elemental sulfur is one of the oldest fungicides and pesticides' is incorrect, then it is not the case that either acceptance is drafts or rock crystal is much less common, although in places it is very abundant is false, then either television is based on photoelectric technology or identity is a very complex aspect of human nature, it follows that ivory is the smooth, solid, usually white material that makes up the tusks of elephants. We know that the claim that ivory is the smooth, solid, usually white material that makes up the tusks of elephants is false.
|
The statement that 'most pine squirrels eat diets' is incorrect.
|
Those that suggest most pine squirrels occur in hardwood habitats are wrong.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (If [0], then (Not [1].).). [SC1-2]
[2] [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If [2], then [5]. [SC1-3]
If [5], then (If [0], then (Not [1].).).
Therefore, If [2], then (If [0], then (Not [1].).)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [2], then [5].).
Not [6].
Therefore, If [2], then [5]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then (Either [3] or [4].).
If (Not [2].), then (Not (Either [3] or [4].).). [SC2-3]
Therefore, [2].
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then (Not (Either [3] or [4].).).).), then (Either [7] or [8].). [SC1-4]
If (Not (If (Not [2].), then (Not (Either [3] or [4].).).).), then (Not (Either [7] or [8].).).
Therefore, If (Not [2].), then (Not (Either [3] or [4].).)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (Not [2].), then (Not (Either [3] or [4].).).).), then (Either [7] or [8].).).), then [9].
Not [9].
Therefore, If (Not (If (Not [2].), then (Not (Either [3] or [4].).).).), then (Either [7] or [8].)..
|
{0: 'Most pine squirrels eat diets.', 1: 'Multiracial children bear a special burden.', 2: 'Elemental sulfur is one of the oldest fungicides and pesticides.', 3: 'Acceptance is drafts.', 4: 'Rock crystal is much less common, although in places it is very abundant.', 5: 'Stigma prompts many people to avoid work and socialization.', 6: 'Light radiation is seen to blast from the tip of one cone to the other.', 7: 'Television is based on photoelectric technology.', 8: 'Identity is a very complex aspect of human nature.', 9: 'Ivory is the smooth, solid, usually white material that makes up the tusks of elephants.'}
| 7 |
6,030 |
['Once we know humans have resources, we also know that soybeans are a good scavenger of P, unless soil test levels are very low or low.', 'If galls also form on pegs and pods of peanut, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low.', 'It is rational to agree that communities are associations of all the populations of different species that live together.', 'Given that archaeology employs scientific methodology, it can be inferred that either galls also form on pegs and pods of peanut or either stenosis is illnesses or ice crystal is crystal.', 'We can assume that archaeology employs scientific methodology.', 'Either crabs hibernate during the winter and usually come out when the water warms or some pesticide residues can contaminate freshwater ecosystems for generations.', 'Given that crabs hibernate during the winter and usually come out when the water warms, it can be inferred that if either stenosis is illnesses or ice crystal is crystal, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low.', "So long as some pesticide residues can contaminate freshwater ecosystems for generations, 'if either stenosis is illnesses or ice crystal is crystal, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low' is true.", 'Once we know either students are engaged in activities or hydrothermal vents are fissures in the ocean floor that leak hot, acidic water, we also know that if communities are associations of all the populations of different species that live together, then most plants grow on landscapes.', 'We know that either students are engaged in activities or hydrothermal vents are fissures in the ocean floor that leak hot, acidic water.']
|
Once we know humans have resources, we also know that soybeans are a good scavenger of P, unless soil test levels are very low or low. If galls also form on pegs and pods of peanut, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low. It is rational to agree that communities are associations of all the populations of different species that live together. Given that archaeology employs scientific methodology, it can be inferred that either galls also form on pegs and pods of peanut or either stenosis is illnesses or ice crystal is crystal. We can assume that archaeology employs scientific methodology. Either crabs hibernate during the winter and usually come out when the water warms or some pesticide residues can contaminate freshwater ecosystems for generations. Given that crabs hibernate during the winter and usually come out when the water warms, it can be inferred that if either stenosis is illnesses or ice crystal is crystal, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low. So long as some pesticide residues can contaminate freshwater ecosystems for generations, 'if either stenosis is illnesses or ice crystal is crystal, then if most plants grow on landscapes, then it is a common misconception that soybeans are a good scavenger of P, unless soil test levels are very low or low' is true. Once we know either students are engaged in activities or hydrothermal vents are fissures in the ocean floor that leak hot, acidic water, we also know that if communities are associations of all the populations of different species that live together, then most plants grow on landscapes. We know that either students are engaged in activities or hydrothermal vents are fissures in the ocean floor that leak hot, acidic water.
|
It is not the case that humans have resources.
|
It is a simple truth that humans have resources.
|
FALSE
|
Modus Tonens:
If [0], then [1].
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].). [SC1-2]
[2] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [4] or (Either [5] or [6].). [SC1-3]
If [4], then (If [2], then (Not [1].).).
If (Either [5] or [6].), then (If [2], then (Not [1].).). [SC3-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Modus Ponens:
If [7], then (Either [4] or (Either [5] or [6].).).
[7]
Therefore, Either [4] or (Either [5] or [6].)..
[SC3-3]
Disjunction Elimination:
Either [10] or [11].
If [10], then (If (Either [5] or [6].), then (If [2], then (Not [1].).).).
If [11], then (If (Either [5] or [6].), then (If [2], then (Not [1].).).).
Therefore, If (Either [5] or [6].), then (If [2], then (Not [1].).)..
[SC2-2]
Modus Ponens:
If [3], then [2]. [SC1-3]
[3]
Therefore, [2].
[SC1-3]
Modus Ponens:
If (Either [8] or [9].), then (If [3], then [2].).
Either [8] or [9].
Therefore, If [3], then [2]..
|
{0: 'Humans have resources.', 1: 'Soybeans are a good scavenger of P, unless soil test levels are very low or low.', 2: 'Most plants grow on landscapes.', 3: 'Communities are associations of all the populations of different species that live together.', 4: 'Galls also form on pegs and pods of peanut.', 5: 'Stenosis is illnesses.', 6: 'Ice crystal is crystal.', 7: 'Archaeology employs scientific methodology.', 8: 'Students are engaged in activities.', 9: 'Hydrothermal vents are fissures in the ocean floor that leak hot, acidic water.', 10: 'Crabs hibernate during the winter and usually come out when the water warms.', 11: 'Some pesticide residues can contaminate freshwater ecosystems for generations.'}
| 7 |
6,403 |
["On the condition that the notion that 'if lemurs have legs, then if slugs eat other small plants, then some botanists teach at colleges' is untrue, it is definitely the case that owls swallow their prey whole then they throw up pellets.", 'The claim that owls swallow their prey whole then they throw up pellets does not correspond with reality.', 'Once we know it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, we also know that the claim that many heterosexuals oppose marriage but favor domestic partnerships has no merit.', 'Should it be the case that the claim that lemurs have legs has no merit, it follows that if some children exhibit the cultural symptoms of hearing loss even though their ears work properly, then personal privacy is an endangered right.', 'Given that it is a common misconception that if it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, then many heterosexuals oppose marriage but favor domestic partnerships, it can be inferred that some chickens live on grassland.', "Should it be the case that it is a common misconception that if it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, then many heterosexuals oppose marriage but favor domestic partnerships, it follows that the statement 'some chickens live on grassland' can be considered false.", "So long as if some children exhibit the cultural symptoms of hearing loss even though their ears work properly, then personal privacy is an endangered right, 'iconic signs have a visual relationship or similarity to what they are signifying' is true.", 'Assuming iconic signs have a visual relationship or similarity to what they are signifying, we know that it is not true that phasmids have (part) brains.']
|
On the condition that the notion that 'if lemurs have legs, then if slugs eat other small plants, then some botanists teach at colleges' is untrue, it is definitely the case that owls swallow their prey whole then they throw up pellets. The claim that owls swallow their prey whole then they throw up pellets does not correspond with reality. Once we know it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, we also know that the claim that many heterosexuals oppose marriage but favor domestic partnerships has no merit. Should it be the case that the claim that lemurs have legs has no merit, it follows that if some children exhibit the cultural symptoms of hearing loss even though their ears work properly, then personal privacy is an endangered right. Given that it is a common misconception that if it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, then many heterosexuals oppose marriage but favor domestic partnerships, it can be inferred that some chickens live on grassland. Should it be the case that it is a common misconception that if it is a common misconception that if the claim that lemurs have legs has no merit, then phasmids have (part) brains, then many heterosexuals oppose marriage but favor domestic partnerships, it follows that the statement 'some chickens live on grassland' can be considered false. So long as if some children exhibit the cultural symptoms of hearing loss even though their ears work properly, then personal privacy is an endangered right, 'iconic signs have a visual relationship or similarity to what they are signifying' is true. Assuming iconic signs have a visual relationship or similarity to what they are signifying, we know that it is not true that phasmids have (part) brains.
|
One may reasonably assume that if slugs eat other small plants, then some botanists teach at colleges.
|
One may reasonably assume that if slugs eat other small plants, then some botanists teach at colleges.
|
TRUE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then [3].
Not [3].
Therefore, If [2], then (If [0], then [1].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not [2].), then [4]. [SC1-2]
If (Not [2].), then (Not [4].). [SC2-2]
Therefore, [2].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [2].), then [4].).), then [7]. [SC1-3]
If (Not (If (Not [2].), then [4].).), then (Not [7].).
Therefore, If (Not [2].), then [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [2].), then [4].).), then [7].).), then [8].
If (Not (If (Not (If (Not [2].), then [4].).), then [7].).), then (Not [8].).
Therefore, If (Not (If (Not [2].), then [4].).), then [7]..
[SC2-2]
Hypothetical Syllogism:
If (Not [2].), then (If [5], then [6].).
If (If [5], then [6].), then (Not [4].). [SC2-3]
Therefore, If (Not [2].), then (Not [4].)..
[SC2-3]
Hypothetical Syllogism:
If (If [5], then [6].), then [9].
If [9], then (Not [4].).
Therefore, If (If [5], then [6].), then (Not [4].)..
|
{0: 'Slugs eat other small plants.', 1: 'Some botanists teach at colleges.', 2: 'Lemurs have legs.', 3: 'Owls swallow their prey whole then they throw up pellets.', 4: 'Phasmids have (part) brains.', 5: 'Some children exhibit the cultural symptoms of hearing loss even though their ears work properly.', 6: 'Personal privacy is an endangered right.', 7: 'Many heterosexuals oppose marriage but favor domestic partnerships.', 8: 'Some chickens live on grassland.', 9: 'Iconic signs have a visual relationship or similarity to what they are signifying.'}
| 7 |
6,757 |
['It is a common misconception that caterpillars usually feed by chewing on plant matter.', 'Should it be the case that exchange transfusion removes bilirubin, removes hemolytic antibody, and corrects anaemia, it follows that some environmental conditions affect fitnesses.', 'Either one or both of these statements are true: cell phones operate on three different systems, or many states have logical ethnic ties.', 'When cell phones operate on three different systems is true, it follows that caterpillars usually feed by chewing on plant matter.', 'Should it be the case that many states have logical ethnic ties, it follows that if some environmental conditions affect fitnesses, then if wealth creation is about the effective accumulation and long term control of assets, then organic fertilizer provides nutrients.', 'It is a simple truth that albatrosses drink water.', 'The statement, stroke is the third-leading cause of death in the United States, does not hold.', 'Provided that grain has weight, we know that either stroke is the third-leading cause of death in the United States or if albatrosses drink water, then exchange transfusion removes bilirubin, removes hemolytic antibody, and corrects anaemia.', 'Many people rightly believe that grain has weight.']
|
It is a common misconception that caterpillars usually feed by chewing on plant matter. Should it be the case that exchange transfusion removes bilirubin, removes hemolytic antibody, and corrects anaemia, it follows that some environmental conditions affect fitnesses. Either one or both of these statements are true: cell phones operate on three different systems, or many states have logical ethnic ties. When cell phones operate on three different systems is true, it follows that caterpillars usually feed by chewing on plant matter. Should it be the case that many states have logical ethnic ties, it follows that if some environmental conditions affect fitnesses, then if wealth creation is about the effective accumulation and long term control of assets, then organic fertilizer provides nutrients. It is a simple truth that albatrosses drink water. The statement, stroke is the third-leading cause of death in the United States, does not hold. Provided that grain has weight, we know that either stroke is the third-leading cause of death in the United States or if albatrosses drink water, then exchange transfusion removes bilirubin, removes hemolytic antibody, and corrects anaemia. Many people rightly believe that grain has weight.
|
Whenever it is true that wealth creation is about the effective accumulation and long term control of assets, 'organic fertilizer provides nutrients' is true.
|
Given that wealth creation is about the effective accumulation and long term control of assets, it can be inferred that some organic fertilizer attracts insects.
|
Uncertain
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [2], then (If [0], then [1].).). [SC1-2]
Not [3].
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Constructive Dilemma:
Either [5] or [6].
If [5], then [3].
If [6], then (If [2], then (If [0], then [1].).).
Therefore, Either [3] or (If [2], then (If [0], then [1].).)..
[SC2-1]
Modus Ponens:
If [4], then [2].
[4] [SC2-2]
Therefore, [2].
[SC2-2]
Modus Ponens:
If [7], then [4]. [SC1-3]
[7]
Therefore, [4].
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If [7], then [4].). [SC1-4]
Not [8].
Therefore, If [7], then [4]..
[SC1-4]
Modus Ponens:
If [9], then (Either [8] or (If [7], then [4].).).
[9]
Therefore, Either [8] or (If [7], then [4].)..
|
{0: 'Wealth creation is about the effective accumulation and long term control of assets.', 1: 'Organic fertilizer provides nutrients.', 2: 'Some environmental conditions affect fitnesses.', 3: 'Caterpillars usually feed by chewing on plant matter.', 4: 'Exchange transfusion removes bilirubin, removes hemolytic antibody, and corrects anaemia.', 5: 'Cell phones operate on three different systems.', 6: 'Many states have logical ethnic ties.', 7: 'Albatrosses drink water.', 8: 'Stroke is the third-leading cause of death in the United States.', 9: 'Grain has weight.'}
| 7 |
6,975 |
['The claim that roots usually grow beneath the surface of the soil and extend from the base of the stem has no merit.', "Either either some stronger analgesics require a doctor's prescription or stars have a fixed declination so their visibility remains the same for a given location or either roots usually grow beneath the surface of the soil and extend from the base of the stem or if snakes shed their outer layer of skin several times a year, then prayer is a source of conversion and transformation.", "One may reasonably assume that if faith is life and work, then the statement 'either some stronger analgesics require a doctor's prescription or stars have a fixed declination so their visibility remains the same for a given location' can be considered false.", 'Either anthropologists think that fieldwork is at the very core of their research or disruptive selection can also operate within a species to produce distinctive morphotypes.', 'One may reasonably assume that if some dutch diseases kill elm trees, then faith is life and work.', "Whenever it is true that most prey provides food, 'some dutch diseases kill elm trees' is true.", 'Once we know children are prone to swallowing bath water, we also know that if either anthropologists think that fieldwork is at the very core of their research or disruptive selection can also operate within a species to produce distinctive morphotypes, then most prey provides food.', 'children are prone to swallowing bath water.']
|
The claim that roots usually grow beneath the surface of the soil and extend from the base of the stem has no merit. Either either some stronger analgesics require a doctor's prescription or stars have a fixed declination so their visibility remains the same for a given location or either roots usually grow beneath the surface of the soil and extend from the base of the stem or if snakes shed their outer layer of skin several times a year, then prayer is a source of conversion and transformation. One may reasonably assume that if faith is life and work, then the statement 'either some stronger analgesics require a doctor's prescription or stars have a fixed declination so their visibility remains the same for a given location' can be considered false. Either anthropologists think that fieldwork is at the very core of their research or disruptive selection can also operate within a species to produce distinctive morphotypes. One may reasonably assume that if some dutch diseases kill elm trees, then faith is life and work. Whenever it is true that most prey provides food, 'some dutch diseases kill elm trees' is true. Once we know children are prone to swallowing bath water, we also know that if either anthropologists think that fieldwork is at the very core of their research or disruptive selection can also operate within a species to produce distinctive morphotypes, then most prey provides food. children are prone to swallowing bath water.
|
On the condition that snakes shed their outer layer of skin several times a year, it is definitely the case that prayer is a source of conversion and transformation.
|
Provided that snakes can symbolize problems, we know that prayer is a source of conversion and transformation
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (Either [2] or (If [0], then [1].).).
Not (Either [3] or [4].). [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC2-2]
Modus Ponens:
If [5], then (Not (Either [3] or [4].).).
[5] [SC2-3]
Therefore, Not (Either [3] or [4].)..
[SC2-3]
Modus Ponens:
If (Either [6] or [7].), then [5]. [SC1-4]
Either [6] or [7].
Therefore, [5].
[SC1-4]
Hypothetical Syllogism:
If (Either [6] or [7].), then [8]. [SC1-5]
If [8], then [5].
Therefore, If (Either [6] or [7].), then [5]..
[SC1-5]
Hypothetical Syllogism:
If (Either [6] or [7].), then [9]. [SC1-6]
If [9], then [8].
Therefore, If (Either [6] or [7].), then [8]..
[SC1-6]
Modus Ponens:
If [10], then (If (Either [6] or [7].), then [9].).
[10]
Therefore, If (Either [6] or [7].), then [9]..
|
{0: 'Snakes shed their outer layer of skin several times a year.', 1: 'Prayer is a source of conversion and transformation.', 2: 'Roots usually grow beneath the surface of the soil and extend from the base of the stem.', 3: "Some stronger analgesics require a doctor's prescription.", 4: 'Stars have a fixed declination so their visibility remains the same for a given location.', 5: 'Faith is life and work.', 6: 'Anthropologists think that fieldwork is at the very core of their research.', 7: 'Disruptive selection can also operate within a species to produce distinctive morphotypes.', 8: 'Some dutch diseases kill elm trees.', 9: 'Most prey provides food.', 10: 'Children are prone to swallowing bath water.'}
| 7 |
6,990 |
['It is a common misconception that activations are beginnings.', "Whenever it is true that the statement 'if the claim that if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then penguins are largely dependent on the sea creatures underneath water while swimming does not correspond with reality, then activations are beginnings' can be considered false, 'most monkeys eat insects' is true.", 'The claim that most monkeys eat insects does not reflect reality.', 'There is good reason to believe that either either trees have resources or chinooks are a rare breed and there is a natural range of size in the breed or birds pollinate trees.', 'One may reasonably assume that if either trees have resources or chinooks are a rare breed and there is a natural range of size in the breed, then either chlorophyl isa pigment or if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then the statement, penguins are largely dependent on the sea creatures underneath water while swimming, does not hold.', 'Either one or both of these statements are true: sodium chlorate is a non-selective herbicide, or we know that the claim that chlorophyl isa pigment is false.', 'The claim that sodium chlorate is a non-selective herbicide does not correspond with reality.', 'We know that either welfare reform is supposed to be about moving people into jobs or if birds pollinate trees, then either chlorophyl isa pigment or if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then the statement, penguins are largely dependent on the sea creatures underneath water while swimming, does not hold.', 'The statement that states welfare reform is supposed to be about moving people into jobs is false.']
|
It is a common misconception that activations are beginnings. Whenever it is true that the statement 'if the claim that if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then penguins are largely dependent on the sea creatures underneath water while swimming does not correspond with reality, then activations are beginnings' can be considered false, 'most monkeys eat insects' is true. The claim that most monkeys eat insects does not reflect reality. There is good reason to believe that either either trees have resources or chinooks are a rare breed and there is a natural range of size in the breed or birds pollinate trees. One may reasonably assume that if either trees have resources or chinooks are a rare breed and there is a natural range of size in the breed, then either chlorophyl isa pigment or if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then the statement, penguins are largely dependent on the sea creatures underneath water while swimming, does not hold. Either one or both of these statements are true: sodium chlorate is a non-selective herbicide, or we know that the claim that chlorophyl isa pigment is false. The claim that sodium chlorate is a non-selective herbicide does not correspond with reality. We know that either welfare reform is supposed to be about moving people into jobs or if birds pollinate trees, then either chlorophyl isa pigment or if rice is cultivated year round in three growing seasons which are defined by the amount of rainfall, then the statement, penguins are largely dependent on the sea creatures underneath water while swimming, does not hold. The statement that states welfare reform is supposed to be about moving people into jobs is false.
|
The claim that rice is cultivated year round in three growing seasons which are defined by the amount of rainfall does not correspond with reality.
|
The statement, rice comes in many forms including white and brown rice, flours, rice bran, and rice oil, does not hold.
|
Uncertain
|
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 [2]. [SC1-2]
Not [2].
Therefore, If [0], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [8].
Not [8].
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [0], then (Not [1].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (Either [3] or (If [0], then (Not [1].).).).
If [7], then (Either [3] or (If [0], then (Not [1].).).). [SC3-3]
Therefore, Either [3] or (If [0], then (Not [1].).)..
[SC3-3]
Disjunctive Syllogism:
Either [9] or (If [7], then (Either [3] or (If [0], then (Not [1].).).).).
Not [9].
Therefore, If [7], then (Either [3] or (If [0], then (Not [1].).).)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4].
Therefore, Not [3]..
|
{0: 'Rice is cultivated year round in three growing seasons which are defined by the amount of rainfall.', 1: 'Penguins are largely dependent on the sea creatures underneath water while swimming.', 2: 'Activations are beginnings.', 3: 'Chlorophyl isa pigment.', 4: 'Sodium chlorate is a non-selective herbicide.', 5: 'Trees have resources.', 6: 'Chinooks are a rare breed and there is a natural range of size in the breed.', 7: 'Birds pollinate trees.', 8: 'Most monkeys eat insects.', 9: 'Welfare reform is supposed to be about moving people into jobs.'}
| 7 |
6,457 |
['The statement that states scientists evaluate control methods is right.', 'Provided that cereals have (part) corpi, we know that if the claim that if scientists evaluate control methods, then spherical geometry is geometry does not correspond with reality, then italian banks handle the wealth of Europe.', 'The claim that water softening units also remove iron does not reflect reality.', "So long as the claim that cereals have (part) corpi does not reflect reality, 'examples are adenine, guanine, thymine, uracil, and cytosine' is true.", 'We know that at least one of two things is true: either grads are part of quadrants or light can cause embrittlement, yellowing and color fading in prints and hand-colored surfaces, or some babies have a bluish or gray appearance which eventually turns red.', 'Assuming either grads are part of quadrants or light can cause embrittlement, yellowing and color fading in prints and hand-colored surfaces, we know that water softening units also remove iron.', "Whenever it is true that some babies have a bluish or gray appearance which eventually turns red, 'if the claim that if scientists evaluate control methods, then spherical geometry is geometry does not correspond with reality, then the statement that 'italian banks handle the wealth of Europe' is incorrect' is true.", 'Once we know examples are adenine, guanine, thymine, uracil, and cytosine, we also know that integrated circuits have different levels of sensitivity.', 'It is not the case that integrated circuits have different levels of sensitivity.']
|
The statement that states scientists evaluate control methods is right. Provided that cereals have (part) corpi, we know that if the claim that if scientists evaluate control methods, then spherical geometry is geometry does not correspond with reality, then italian banks handle the wealth of Europe. The claim that water softening units also remove iron does not reflect reality. So long as the claim that cereals have (part) corpi does not reflect reality, 'examples are adenine, guanine, thymine, uracil, and cytosine' is true. We know that at least one of two things is true: either grads are part of quadrants or light can cause embrittlement, yellowing and color fading in prints and hand-colored surfaces, or some babies have a bluish or gray appearance which eventually turns red. Assuming either grads are part of quadrants or light can cause embrittlement, yellowing and color fading in prints and hand-colored surfaces, we know that water softening units also remove iron. Whenever it is true that some babies have a bluish or gray appearance which eventually turns red, 'if the claim that if scientists evaluate control methods, then spherical geometry is geometry does not correspond with reality, then the statement that 'italian banks handle the wealth of Europe' is incorrect' is true. Once we know examples are adenine, guanine, thymine, uracil, and cytosine, we also know that integrated circuits have different levels of sensitivity. It is not the case that integrated circuits have different levels of sensitivity.
|
The statement 'spherical geometry is geometry' can be considered true.
|
Spherical geometry consists of all the points on the surface of a sphere.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [2]. [SC1-2]
If (Not (If [1], then [0].).), then (Not [2].). [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [1], then [0].).), then [2].).
[4] [SC2-3]
Therefore, If (Not (If [1], then [0].).), then [2]..
[SC2-3]
Modus Tonens:
If (Not [4].), then [5].
Not [5]. [SC2-4]
Therefore, [4].
[SC2-4]
Modus Tonens:
If [5], then [9].
Not [9].
Therefore, Not [5]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If (Not (If [1], then [0].).), then (Not [2].).). [SC1-3]
Not [3].
Therefore, If (Not (If [1], then [0].).), then (Not [2].)..
[SC1-3]
Constructive Dilemma:
Either (Either [6] or [7].) or [8].
If (Either [6] or [7].), then [3].
If [8], then (If (Not (If [1], then [0].).), then (Not [2].).).
Therefore, Either [3] or (If (Not (If [1], then [0].).), then (Not [2].).)..
|
{0: 'Spherical geometry is geometry.', 1: 'Scientists evaluate control methods.', 2: 'Italian banks handle the wealth of Europe.', 3: 'Water softening units also remove iron.', 4: 'Cereals have (part) corpi.', 5: 'Examples are adenine, guanine, thymine, uracil, and cytosine.', 6: 'Grads are part of quadrants.', 7: 'Light can cause embrittlement, yellowing and color fading in prints and hand-colored surfaces.', 8: 'Some babies have a bluish or gray appearance which eventually turns red.', 9: 'Integrated circuits have different levels of sensitivity.'}
| 7 |
6,362 |
['The claim that composted waste is used in soil preparation for the organic garden and orchard on the Ranch does not reflect reality.', 'Either cells begin keratin synthesis or cuddles are embrace.', 'When cells begin keratin synthesis is true, it follows that deer prefer grassland.', 'It is true that love is the opposite of lust.', 'The statement that states functions require energy is false.', 'On the condition that herbaceous plants have chemical properties, it is definitely the case that if love is the opposite of lust, then those that suggest deer prefer grassland are wrong.', 'herbaceous plants have chemical properties.', "Once we know the claim that if the statement that 'if cuddles are embrace, then either composted waste is used in soil preparation for the organic garden and orchard on the Ranch or some lilies can increase so rapidly that division is necessary' is incorrect, then functions require energy has no merit, we also know that either ellipses are used often in everyday life as well as in literature or efficiency is the word of the day.", 'The claim that either ellipses are used often in everyday life as well as in literature or efficiency is the word of the day does not correspond with reality.']
|
The claim that composted waste is used in soil preparation for the organic garden and orchard on the Ranch does not reflect reality. Either cells begin keratin synthesis or cuddles are embrace. When cells begin keratin synthesis is true, it follows that deer prefer grassland. It is true that love is the opposite of lust. The statement that states functions require energy is false. On the condition that herbaceous plants have chemical properties, it is definitely the case that if love is the opposite of lust, then those that suggest deer prefer grassland are wrong. herbaceous plants have chemical properties. Once we know the claim that if the statement that 'if cuddles are embrace, then either composted waste is used in soil preparation for the organic garden and orchard on the Ranch or some lilies can increase so rapidly that division is necessary' is incorrect, then functions require energy has no merit, we also know that either ellipses are used often in everyday life as well as in literature or efficiency is the word of the day. The claim that either ellipses are used often in everyday life as well as in literature or efficiency is the word of the day does not correspond with reality.
|
The idea that some lilies can increase so rapidly that division is necessary is true.
|
Lilies bear flowers.
|
Uncertain
|
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 [4] or [5].
If [4], then [2].
If [5], then (Either [1] or [0].). [SC3-3]
Therefore, Either [2] or (Either [1] or [0].)..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (Either [1] or [0].).).), then [7]. [SC1-4]
Not [7].
Therefore, If [5], then (Either [1] or [0].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If [5], then (Either [1] or [0].).).), then [7].).), then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, If (Not (If [5], then (Either [1] or [0].).).), then [7]..
[SC2-2]
Modus Ponens:
If [3], then (Not [2].). [SC1-3]
[3]
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [6], then (If [3], then (Not [2].).).
[6]
Therefore, If [3], then (Not [2].)..
|
{0: 'Some lilies can increase so rapidly that division is necessary.', 1: 'Composted waste is used in soil preparation for the organic garden and orchard on the Ranch.', 2: 'Deer prefer grassland.', 3: 'Love is the opposite of lust.', 4: 'Cells begin keratin synthesis.', 5: 'Cuddles are embrace.', 6: 'Herbaceous plants have chemical properties.', 7: 'Functions require energy.', 8: 'Ellipses are used often in everyday life as well as in literature.', 9: 'Efficiency is the word of the day.'}
| 7 |
6,860 |
['Some people mistakenly believe that days can end in the glow of a wood fire as the sun sinks below distant ridges.', "On the condition that the statement that 'if the statement 'either hot flashes can be severe enough to disrupt sleep and cause insomnia or wasps return to nests' can be considered false, then hate is hate and love is love, forever' is incorrect, it is definitely the case that insectivorous bats have teeth.", 'On the condition that insectivorous bats have teeth, it is definitely the case that some observers even look for high-energy particles called cosmic rays which come from deep space.', 'Either one or both of these statements are true: fishery scientists to predict effects, or most people assume that women are the only targets for date rape drugs.', 'When fishery scientists to predict effects is true, it follows that it is a common misconception that some observers even look for high-energy particles called cosmic rays which come from deep space.', 'Once we know most people assume that women are the only targets for date rape drugs, we also know that it is a common misconception that some observers even look for high-energy particles called cosmic rays which come from deep space.', 'It is a simple truth that cars have (part) hand brakes.', 'We know that either dental specialists treat disorder or workers leave jobs.', 'Given that dental specialists treat disorder, it can be inferred that if cars have (part) hand brakes, then if hate is hate and love is love, forever, then days can end in the glow of a wood fire as the sun sinks below distant ridges.', 'If workers leave jobs, then if cars have (part) hand brakes, then if hate is hate and love is love, forever, then days can end in the glow of a wood fire as the sun sinks below distant ridges.']
|
Some people mistakenly believe that days can end in the glow of a wood fire as the sun sinks below distant ridges. On the condition that the statement that 'if the statement 'either hot flashes can be severe enough to disrupt sleep and cause insomnia or wasps return to nests' can be considered false, then hate is hate and love is love, forever' is incorrect, it is definitely the case that insectivorous bats have teeth. On the condition that insectivorous bats have teeth, it is definitely the case that some observers even look for high-energy particles called cosmic rays which come from deep space. Either one or both of these statements are true: fishery scientists to predict effects, or most people assume that women are the only targets for date rape drugs. When fishery scientists to predict effects is true, it follows that it is a common misconception that some observers even look for high-energy particles called cosmic rays which come from deep space. Once we know most people assume that women are the only targets for date rape drugs, we also know that it is a common misconception that some observers even look for high-energy particles called cosmic rays which come from deep space. It is a simple truth that cars have (part) hand brakes. We know that either dental specialists treat disorder or workers leave jobs. Given that dental specialists treat disorder, it can be inferred that if cars have (part) hand brakes, then if hate is hate and love is love, forever, then days can end in the glow of a wood fire as the sun sinks below distant ridges. If workers leave jobs, then if cars have (part) hand brakes, then if hate is hate and love is love, forever, then days can end in the glow of a wood fire as the sun sinks below distant ridges.
|
It is a fact that either hot flashes can be severe enough to disrupt sleep and cause insomnia or wasps return to nests.
|
It is a fact that either hot flashes can be severe enough to disrupt sleep and cause insomnia or wasps return to nests.
|
TRUE
|
Modus Tonens:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not (Either [0] or [1].).), then [2].).), then [5].
If [5], then [3].
Therefore, If (Not (If (Not (Either [0] or [1].).), then [2].).), then [3]..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If [2], then [4]. [SC1-2]
Not [4].
Therefore, Not [2]..
[SC1-2]
Modus Ponens:
If [8], then (If [2], then [4].). [SC1-3]
[8]
Therefore, If [2], then [4]..
[SC1-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [8], then (If [2], then [4].).).
If [10], then (If [8], then (If [2], then [4].).).
Therefore, If [8], then (If [2], then [4].)..
|
{0: 'Hot flashes can be severe enough to disrupt sleep and cause insomnia.', 1: 'Wasps return to nests.', 2: 'Hate is hate and love is love, forever.', 3: 'Some observers even look for high-energy particles called cosmic rays which come from deep space.', 4: 'Days can end in the glow of a wood fire as the sun sinks below distant ridges.', 5: 'Insectivorous bats have teeth.', 6: 'Fishery scientists to predict effects.', 7: 'Most people assume that women are the only targets for date rape drugs.', 8: 'Cars have (part) hand brakes.', 9: 'Dental specialists treat disorder.', 10: 'Workers leave jobs.'}
| 7 |
6,483 |
['Assuming a protein folding is a biological process, we know that either if trade secrets are enforceable by courts, then automobiles have (part) head restraint or animals are located in groups.', 'Some people mistakenly believe that coral larvae settle at a higher frequency on red surfaces.', "If the statement that 'a protein folding is a biological process' is incorrect, then the statement that states some puppies develop respiratory signs and nasal discharge is false.", 'Some people mistakenly believe that some manatees depend on oceans.', "At least one of two things is true: many patients survive injuries, or if the statement that 'a protein folding is a biological process' is incorrect, then some puppies develop respiratory signs and nasal discharge.", 'It is a common misconception that many patients survive injuries.', 'Provided that it is not true that either some manatees depend on oceans or if if trade secrets are enforceable by courts, then automobiles have (part) head restraint, then coral larvae settle at a higher frequency on red surfaces, we know that deforestation accelerates beyond the limits set by the state.', "If it is not true that either some manatees depend on oceans or if if trade secrets are enforceable by courts, then automobiles have (part) head restraint, then coral larvae settle at a higher frequency on red surfaces, then the notion that 'deforestation accelerates beyond the limits set by the state' is untrue."]
|
Assuming a protein folding is a biological process, we know that either if trade secrets are enforceable by courts, then automobiles have (part) head restraint or animals are located in groups. Some people mistakenly believe that coral larvae settle at a higher frequency on red surfaces. If the statement that 'a protein folding is a biological process' is incorrect, then the statement that states some puppies develop respiratory signs and nasal discharge is false. Some people mistakenly believe that some manatees depend on oceans. At least one of two things is true: many patients survive injuries, or if the statement that 'a protein folding is a biological process' is incorrect, then some puppies develop respiratory signs and nasal discharge. It is a common misconception that many patients survive injuries. Provided that it is not true that either some manatees depend on oceans or if if trade secrets are enforceable by courts, then automobiles have (part) head restraint, then coral larvae settle at a higher frequency on red surfaces, we know that deforestation accelerates beyond the limits set by the state. If it is not true that either some manatees depend on oceans or if if trade secrets are enforceable by courts, then automobiles have (part) head restraint, then coral larvae settle at a higher frequency on red surfaces, then the notion that 'deforestation accelerates beyond the limits set by the state' is untrue.
|
It is the case that animals are located in groups.
|
It is the case that animals are located in groups.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (Either (If [1], then [2].) or [0].).
[3] [SC2-2]
Therefore, Either (If [1], then [2].) or [0]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [3].), then [6]. [SC1-3]
If (Not [3].), then (Not [6].).
Therefore, [3].
[SC1-3]
Disjunctive Syllogism:
Either [7] or (If (Not [3].), then [6].).
Not [7].
Therefore, If (Not [3].), then [6]..
[SC2-1]
Modus Tonens:
If (If [1], then [2].), then [4]. [SC1-2]
Not [4].
Therefore, Not (If [1], then [2].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (If [1], then [2].), then [4].). [SC1-3]
Not [5].
Therefore, If (If [1], then [2].), then [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either [5] or (If (If [1], then [2].), then [4].).).), then [8].
If (Not (Either [5] or (If (If [1], then [2].), then [4].).).), then (Not [8].).
Therefore, Either [5] or (If (If [1], then [2].), then [4].)..
|
{0: 'Animals are located in groups.', 1: 'Trade secrets are enforceable by courts.', 2: 'Automobiles have (part) head restraint.', 3: 'A protein folding is a biological process.', 4: 'Coral larvae settle at a higher frequency on red surfaces.', 5: 'Some manatees depend on oceans.', 6: 'Some puppies develop respiratory signs and nasal discharge.', 7: 'Many patients survive injuries.', 8: 'Deforestation accelerates beyond the limits set by the state.'}
| 7 |
6,580 |
["Whenever it is true that it is not the case that if the statement 'if the statement that states hamsters are small, they are tailless, rodents with big cheeks is false, then some breeders defend nest sites' can be considered false, then plants use the light energy to make their own food, 'if some apes dive into water, then rabbits hide in ground' is true.", 'We know that the claim that if some apes dive into water, then rabbits hide in ground is false.', "If either adventures involve favorite characters or pests cause little damage, then if the statement 'if the statement that states hamsters are small, they are tailless, rodents with big cheeks is false, then some breeders defend nest sites' can be considered false, then it is not true that plants use the light energy to make their own food.", 'We know that either adventures involve favorite characters or pests cause little damage.', 'On the condition that the claim that if some breeders defend nest sites, then snow is found at the highest elevations does not reflect reality, it is definitely the case that either vampire bats have the fewest teeth of all bats or sodium reacts readily with the halogens , forming the appropriate sodium salt.', 'The claim that either vampire bats have the fewest teeth of all bats or sodium reacts readily with the halogens , forming the appropriate sodium salt has no merit.', 'When some people mistakenly believe that if some breeders defend nest sites, then the claim that snow is found at the highest elevations does not correspond with reality is true, it follows that either some moon jelly has centers or nurses are increasingly critical to health care.', 'When some people mistakenly believe that if some breeders defend nest sites, then the claim that snow is found at the highest elevations does not correspond with reality is true, it follows that the statement that states either some moon jelly has centers or nurses are increasingly critical to health care is false.']
|
Whenever it is true that it is not the case that if the statement 'if the statement that states hamsters are small, they are tailless, rodents with big cheeks is false, then some breeders defend nest sites' can be considered false, then plants use the light energy to make their own food, 'if some apes dive into water, then rabbits hide in ground' is true. We know that the claim that if some apes dive into water, then rabbits hide in ground is false. If either adventures involve favorite characters or pests cause little damage, then if the statement 'if the statement that states hamsters are small, they are tailless, rodents with big cheeks is false, then some breeders defend nest sites' can be considered false, then it is not true that plants use the light energy to make their own food. We know that either adventures involve favorite characters or pests cause little damage. On the condition that the claim that if some breeders defend nest sites, then snow is found at the highest elevations does not reflect reality, it is definitely the case that either vampire bats have the fewest teeth of all bats or sodium reacts readily with the halogens , forming the appropriate sodium salt. The claim that either vampire bats have the fewest teeth of all bats or sodium reacts readily with the halogens , forming the appropriate sodium salt has no merit. When some people mistakenly believe that if some breeders defend nest sites, then the claim that snow is found at the highest elevations does not correspond with reality is true, it follows that either some moon jelly has centers or nurses are increasingly critical to health care. When some people mistakenly believe that if some breeders defend nest sites, then the claim that snow is found at the highest elevations does not correspond with reality is true, it follows that the statement that states either some moon jelly has centers or nurses are increasingly critical to health care is false.
|
Those that suggest hamsters are small, they are tailless, rodents with big cheeks are right.
|
Most hamsters use feet.
|
Uncertain
|
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 [3]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [3].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If (Not [0].), then [1].).), then [3].).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, If (Not (If (Not [0].), then [1].).), then [3]..
[SC2-2]
Modus Ponens:
If (Either [4] or [5].), then (If (Not (If (Not [0].), then [1].).), then (Not [3].).).
Either [4] or [5].
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [3].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2]. [SC1-2]
If [1], then (Not [2].). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, If [1], then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [2].).).), then (Either [6] or [7].).
If (Not (If [1], then (Not [2].).).), then (Not (Either [6] or [7].).).
Therefore, If [1], then (Not [2].)..
|
{0: 'Hamsters are small, they are tailless, rodents with big cheeks .', 1: 'Some breeders defend nest sites.', 2: 'Snow is found at the highest elevations.', 3: 'Plants use the light energy to make their own food.', 4: 'Adventures involve favorite characters.', 5: 'Pests cause little damage.', 6: 'Some moon jelly has centers.', 7: 'Nurses are increasingly critical to health care.', 8: 'Vampire bats have the fewest teeth of all bats.', 9: 'Sodium reacts readily with the halogens , forming the appropriate sodium salt.', 10: 'Some apes dive into water.', 11: 'Rabbits hide in ground.'}
| 7 |
6,986 |
['It is reasonable to believe that germination is more related to habitat or genetic variables than initial seed moisture content.', 'One may reasonably assume that if the claim that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then it is not the case that all ecosystems have three characteristics in common does not reflect reality, then if some healers even use bee stings to counteract chronic ailments, such as arthritis, then marine scientists report levels.', 'Should it be the case that the claim that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then it is not the case that all ecosystems have three characteristics in common does not reflect reality, it follows that some people mistakenly believe that if some healers even use bee stings to counteract chronic ailments, such as arthritis, then marine scientists report levels.', 'Provided that condensation increases with lower flue gas temperatures, we know that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then all ecosystems have three characteristics in common.', 'When the claim that if germination is more related to habitat or genetic variables than initial seed moisture content, then condensation increases with lower flue gas temperatures is false is true, it follows that either insects have glands or horses are like dolphins - a symbol of freedom and power.', 'Should it be the case that either insects have glands or horses are like dolphins - a symbol of freedom and power, it follows that evolution violates the second law of thermodynamics.', 'Once we know a rebel is a person, we also know that if the claim that if germination is more related to habitat or genetic variables than initial seed moisture content, then condensation increases with lower flue gas temperatures is false, then the statement that states evolution violates the second law of thermodynamics is false.', 'It is reasonable to believe that a rebel is a person.']
|
It is reasonable to believe that germination is more related to habitat or genetic variables than initial seed moisture content. One may reasonably assume that if the claim that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then it is not the case that all ecosystems have three characteristics in common does not reflect reality, then if some healers even use bee stings to counteract chronic ailments, such as arthritis, then marine scientists report levels. Should it be the case that the claim that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then it is not the case that all ecosystems have three characteristics in common does not reflect reality, it follows that some people mistakenly believe that if some healers even use bee stings to counteract chronic ailments, such as arthritis, then marine scientists report levels. Provided that condensation increases with lower flue gas temperatures, we know that if the statement, either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource, does not hold, then all ecosystems have three characteristics in common. When the claim that if germination is more related to habitat or genetic variables than initial seed moisture content, then condensation increases with lower flue gas temperatures is false is true, it follows that either insects have glands or horses are like dolphins - a symbol of freedom and power. Should it be the case that either insects have glands or horses are like dolphins - a symbol of freedom and power, it follows that evolution violates the second law of thermodynamics. Once we know a rebel is a person, we also know that if the claim that if germination is more related to habitat or genetic variables than initial seed moisture content, then condensation increases with lower flue gas temperatures is false, then the statement that states evolution violates the second law of thermodynamics is false. It is reasonable to believe that a rebel is a person.
|
There is good reason to believe that either temperature is a measurement of average kinetic energy or energy conservation saves real dollars and preserves a public resource.
|
At least one of two things is true: temperatures are a function of heat, or energy conservation is faithful stewardship of creation.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not (Either [0] or [1].).), then [2]. [SC1-1]
If (Not (Either [0] or [1].).), then (Not [2].). [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [3], then (If (Not (Either [0] or [1].).), then [2].). [SC1-2]
[3]
Therefore, If (Not (Either [0] or [1].).), then [2]..
[SC1-2]
Hypothetical Syllogism:
If [3], then [6]. [SC1-3]
If [6], then (If (Not (Either [0] or [1].).), then [2].).
Therefore, If [3], then (If (Not (Either [0] or [1].).), then [2].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then [6].).), then [7]. [SC1-4]
If (Not (If [3], then [6].).), then (Not [7].). [SC2-4]
Therefore, If [3], then [6]..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [3], then [6].).), then (Either [9] or [10].).
If (Either [9] or [10].), then [7].
Therefore, If (Not (If [3], then [6].).), then [7]..
[SC2-4]
Modus Ponens:
If [8], then (If (Not (If [3], then [6].).), then (Not [7].).).
[8]
Therefore, If (Not (If [3], then [6].).), then (Not [7].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (If [4], then [5].).
If (Not (If (Not (Either [0] or [1].).), then (Not [2].).).), then (Not (If [4], then [5].).).
Therefore, If (Not (Either [0] or [1].).), then (Not [2].)..
|
{0: 'Temperature is a measurement of average kinetic energy.', 1: 'Energy conservation saves real dollars and preserves a public resource.', 2: 'All ecosystems have three characteristics in common.', 3: 'Germination is more related to habitat or genetic variables than initial seed moisture content.', 4: 'Some healers even use bee stings to counteract chronic ailments, such as arthritis.', 5: 'Marine scientists report levels.', 6: 'Condensation increases with lower flue gas temperatures.', 7: 'Evolution violates the second law of thermodynamics.', 8: 'A rebel is a person.', 9: 'Insects have glands.', 10: 'Horses are like dolphins - a symbol of freedom and power.'}
| 7 |
6,688 |
["So long as if selenium is recovered by roasting the sludge or mud with sulfuric acid or soda, then drinking water is the best treatment for fluid retention, 'the statement, either domestic violence is a common but often poorly recognized source of medical morbidity or freedom allows conduct that often erodes the moral foundation upon which a free society rests, does not hold' is true.", 'Either documents play a significant role in business or if if selenium is recovered by roasting the sludge or mud with sulfuric acid or soda, then drinking water is the best treatment for fluid retention, then either domestic violence is a common but often poorly recognized source of medical morbidity or freedom allows conduct that often erodes the moral foundation upon which a free society rests.', 'Either one or both of these statements are true: some phosphorus promotes root growth, or if some species have peculiar dietary needs, but all primates require a well balanced diet, then hammers are used for pounds.', 'Provided that some phosphorus promotes root growth, we know that if documents play a significant role in business, then most pollen has plants.', 'There is good reason to believe that either movement follows step stone patterns or muscle weakness can lead to contractures, or abnormal shortening of muscle tissue.', 'Given that a school bell is a bell, it can be inferred that if if some species have peculiar dietary needs, but all primates require a well balanced diet, then hammers are used for pounds, then if documents play a significant role in business, then most pollen has plants.', 'The statement that states a school bell is a bell is right.', "When the statement that 'if either movement follows step stone patterns or muscle weakness can lead to contractures, or abnormal shortening of muscle tissue, then the statement that states most pollen has plants is false' is incorrect is true, it follows that young cocks show red on crests.", 'The claim that young cocks show red on crests is false.']
|
So long as if selenium is recovered by roasting the sludge or mud with sulfuric acid or soda, then drinking water is the best treatment for fluid retention, 'the statement, either domestic violence is a common but often poorly recognized source of medical morbidity or freedom allows conduct that often erodes the moral foundation upon which a free society rests, does not hold' is true. Either documents play a significant role in business or if if selenium is recovered by roasting the sludge or mud with sulfuric acid or soda, then drinking water is the best treatment for fluid retention, then either domestic violence is a common but often poorly recognized source of medical morbidity or freedom allows conduct that often erodes the moral foundation upon which a free society rests. Either one or both of these statements are true: some phosphorus promotes root growth, or if some species have peculiar dietary needs, but all primates require a well balanced diet, then hammers are used for pounds. Provided that some phosphorus promotes root growth, we know that if documents play a significant role in business, then most pollen has plants. There is good reason to believe that either movement follows step stone patterns or muscle weakness can lead to contractures, or abnormal shortening of muscle tissue. Given that a school bell is a bell, it can be inferred that if if some species have peculiar dietary needs, but all primates require a well balanced diet, then hammers are used for pounds, then if documents play a significant role in business, then most pollen has plants. The statement that states a school bell is a bell is right. When the statement that 'if either movement follows step stone patterns or muscle weakness can lead to contractures, or abnormal shortening of muscle tissue, then the statement that states most pollen has plants is false' is incorrect is true, it follows that young cocks show red on crests. The claim that young cocks show red on crests is false.
|
We know that the claim that if selenium is recovered by roasting the sludge or mud with sulfuric acid or soda, then drinking water is the best treatment for fluid retention is false.
|
It is a common misconception that selenium is a mineral found in soil and certain foods.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then (Either [2] or [3].). [SC1-1]
If (If [0], then [1].), then (Not (Either [2] or [3].).).
Therefore, Not (If [0], then [1].)..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If (If [0], then [1].), then (Either [2] or [3].).).
Not [4]. [SC2-2]
Therefore, If (If [0], then [1].), then (Either [2] or [3].)..
[SC2-2]
Modus Tonens:
If [4], then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either [6] or (If [7], then [8].).
If [6], then (If [4], then [5].).
If (If [7], then [8].), then (If [4], then [5].). [SC3-4]
Therefore, If [4], then [5]..
[SC3-4]
Modus Ponens:
If [12], then (If (If [7], then [8].), then (If [4], then [5].).).
[12]
Therefore, If (If [7], then [8].), then (If [4], then [5].)..
[SC2-3]
Modus Ponens:
If (Either [9] or [10].), then (Not [5].). [SC1-4]
Either [9] or [10].
Therefore, Not [5]..
[SC1-4]
Modus Tonens:
If (Not (If (Either [9] or [10].), then (Not [5].).).), then [11].
Not [11].
Therefore, If (Either [9] or [10].), then (Not [5].)..
|
{0: 'Selenium is recovered by roasting the sludge or mud with sulfuric acid or soda.', 1: 'Drinking water is the best treatment for fluid retention.', 2: 'Domestic violence is a common but often poorly recognized source of medical morbidity.', 3: 'Freedom allows conduct that often erodes the moral foundation upon which a free society rests.', 4: 'Documents play a significant role in business.', 5: 'Most pollen has plants.', 6: 'Some phosphorus promotes root growth.', 7: 'Some species have peculiar dietary needs, but all primates require a well balanced diet.', 8: 'Hammers are used for pounds.', 9: 'Movement follows step stone patterns.', 10: 'Muscle weakness can lead to contractures, or abnormal shortening of muscle tissue.', 11: 'Young cocks show red on crests.', 12: 'A school bell is a bell.'}
| 7 |
6,864 |
['The claim that responsibility is one the greatest challenges any man or woman can face has no merit.', 'On the condition that some factors associate with good nutrition, it is definitely the case that if the claim that different antidepressants have different effects does not correspond with reality, then hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type.', 'Once we know it is a common misconception that if hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type, then responsibility is one the greatest challenges any man or woman can face, we also know that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page.', 'There is good reason to believe that either either ecstasy produces a surge of the neurotransmitter serotonin in the brain or clinical psychologists assess and treat people with psychological problems or either processors provide credit or some factors associate with good nutrition.', 'The statement that states either ecstasy produces a surge of the neurotransmitter serotonin in the brain or clinical psychologists assess and treat people with psychological problems is false.', 'When hot flashes are the most common symptom and are associated with estrogen withdrawal is true, it follows that if processors provide credit, then if the claim that different antidepressants have different effects does not correspond with reality, then hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type.', 'The statement that states hot flashes are the most common symptom and are associated with estrogen withdrawal is right.', 'It is a fact that either important organs perform functions or vaginal delivery is safer for the baby and for the mother.', "Whenever it is true that important organs perform functions, 'the claim that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page does not correspond with reality' is true.", 'Should it be the case that vaginal delivery is safer for the baby and for the mother, it follows that the claim that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page does not correspond with reality.']
|
The claim that responsibility is one the greatest challenges any man or woman can face has no merit. On the condition that some factors associate with good nutrition, it is definitely the case that if the claim that different antidepressants have different effects does not correspond with reality, then hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type. Once we know it is a common misconception that if hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type, then responsibility is one the greatest challenges any man or woman can face, we also know that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page. There is good reason to believe that either either ecstasy produces a surge of the neurotransmitter serotonin in the brain or clinical psychologists assess and treat people with psychological problems or either processors provide credit or some factors associate with good nutrition. The statement that states either ecstasy produces a surge of the neurotransmitter serotonin in the brain or clinical psychologists assess and treat people with psychological problems is false. When hot flashes are the most common symptom and are associated with estrogen withdrawal is true, it follows that if processors provide credit, then if the claim that different antidepressants have different effects does not correspond with reality, then hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type. The statement that states hot flashes are the most common symptom and are associated with estrogen withdrawal is right. It is a fact that either important organs perform functions or vaginal delivery is safer for the baby and for the mother. Whenever it is true that important organs perform functions, 'the claim that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page does not correspond with reality' is true. Should it be the case that vaginal delivery is safer for the baby and for the mother, it follows that the claim that banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page does not correspond with reality.
|
It is true that different antidepressants have different effects.
|
It is true that different antidepressants have different effects.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunction Elimination:
Either [3] or [4]. [SC1-3]
If [3], then (If (Not [0].), then [2].). [SC2-3]
If [4], then (If (Not [0].), then [2].).
Therefore, If (Not [0].), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [3] or [4].).
Not (Either [7] or [8].).
Therefore, Either [3] or [4]..
[SC2-3]
Modus Ponens:
If [6], then (If [3], then (If (Not [0].), then [2].).).
[6]
Therefore, If [3], then (If (Not [0].), then [2].)..
[SC2-2]
Modus Tonens:
If (Not (If [2], then [1].).), then [5].
Not [5]. [SC2-3]
Therefore, If [2], then [1]..
[SC2-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (Not [5].).
If [10], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Different antidepressants have different effects.', 1: 'Responsibility is one the greatest challenges any man or woman can face.', 2: 'Hyperactive synapses expand to occupy a large area of the muscle surface relative to wild type.', 3: 'Processors provide credit.', 4: 'Some factors associate with good nutrition.', 5: 'Banners are letterbox-shaped adverts, usually animated, and they appear at the top of a Web page.', 6: 'Hot flashes are the most common symptom and are associated with estrogen withdrawal.', 7: 'Ecstasy produces a surge of the neurotransmitter serotonin in the brain.', 8: 'Clinical psychologists assess and treat people with psychological problems.', 9: 'Important organs perform functions.', 10: 'Vaginal delivery is safer for the baby and for the mother.'}
| 7 |
6,927 |
['Assuming some epitopes provoke a bigger response from the immune system, we know that either word games are games or most glands produce important enzymes.', 'The statement that states crazy behavior is more of a lifestyle and usually involves psychotic activity is false.', 'Those that suggest morality is a matter of desire instead of truth are wrong.', "So long as most testes produce hormone testosterone, 'either crazy behavior is more of a lifestyle and usually involves psychotic activity or either a scientist is a person or some epitopes provoke a bigger response from the immune system' is true.", "Given that the statement 'if the statement that 'if a scientist is a person, then either word games are games or most glands produce important enzymes' is incorrect, then morality is a matter of desire instead of truth' can be considered false, it can be inferred that the claim that currents preferentially travel along lines of least resistance has no merit.", 'It is rational to believe that either fruit is produced when the female flower is pollinated, generally by insects or most testes produce hormone testosterone.', 'The claim that fruit is produced when the female flower is pollinated, generally by insects does not reflect reality.', "Assuming we know that the claim that if the statement 'if the statement that 'if a scientist is a person, then either word games are games or most glands produce important enzymes' is incorrect, then morality is a matter of desire instead of truth' can be considered false, then currents preferentially travel along lines of least resistance is false, we know that snail poison causes illnesses.", 'It is not the case that snail poison causes illnesses.']
|
Assuming some epitopes provoke a bigger response from the immune system, we know that either word games are games or most glands produce important enzymes. The statement that states crazy behavior is more of a lifestyle and usually involves psychotic activity is false. Those that suggest morality is a matter of desire instead of truth are wrong. So long as most testes produce hormone testosterone, 'either crazy behavior is more of a lifestyle and usually involves psychotic activity or either a scientist is a person or some epitopes provoke a bigger response from the immune system' is true. Given that the statement 'if the statement that 'if a scientist is a person, then either word games are games or most glands produce important enzymes' is incorrect, then morality is a matter of desire instead of truth' can be considered false, it can be inferred that the claim that currents preferentially travel along lines of least resistance has no merit. It is rational to believe that either fruit is produced when the female flower is pollinated, generally by insects or most testes produce hormone testosterone. The claim that fruit is produced when the female flower is pollinated, generally by insects does not reflect reality. Assuming we know that the claim that if the statement 'if the statement that 'if a scientist is a person, then either word games are games or most glands produce important enzymes' is incorrect, then morality is a matter of desire instead of truth' can be considered false, then currents preferentially travel along lines of least resistance is false, we know that snail poison causes illnesses. It is not the case that snail poison causes illnesses.
|
It is rational to believe that either word games are games or most glands produce important enzymes.
|
It is a common misconception that either word games are games or most glands produce important enzymes.
|
FALSE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either [2] or [3].). [SC1-2]
Not [4].
Therefore, Either [2] or [3]..
[SC1-2]
Modus Ponens:
If [6], then (Either [4] or (Either [2] or [3].).).
[6] [SC2-3]
Therefore, Either [4] or (Either [2] or [3].)..
[SC2-3]
Disjunctive Syllogism:
Either [9] or [6].
Not [9].
Therefore, [6].
[SC2-1]
Modus Tonens:
If (Not (If [2], then (Either [0] or [1].).).), then [5]. [SC1-2]
Not [5].
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then [7]. [SC1-3]
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then (Not [7].).
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [5]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then [7].).), then [8].
Not [8].
Therefore, If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [5].).), then [7]..
|
{0: 'Word games are games.', 1: 'Most glands produce important enzymes.', 2: 'A scientist is a person.', 3: 'Some epitopes provoke a bigger response from the immune system.', 4: 'Crazy behavior is more of a lifestyle and usually involves psychotic activity.', 5: 'Morality is a matter of desire instead of truth.', 6: 'Most testes produce hormone testosterone.', 7: 'Currents preferentially travel along lines of least resistance.', 8: 'Snail poison causes illnesses.', 9: 'Fruit is produced when the female flower is pollinated, generally by insects.'}
| 7 |
6,378 |
["Once we know the statement that states if the statement 'proteomics is the analysis of all proteins in a cell, tissue, or organism' can be considered false, then if trees represent human beings, then knits are needlework is false, we also know that either melanin is the skin's natural protection against the UV rays contained in sunlight or rulers Locate current and past leaders of most countries around the world.", "Provided that furnaces are located in basements, we know that the notion that 'if trees represent human beings, then knits are needlework' is untrue.", "On the condition that nurse midwifes provide care, it is definitely the case that the notion that 'either melanin is the skin's natural protection against the UV rays contained in sunlight or rulers Locate current and past leaders of most countries around the world' is untrue.", "So long as pretzels are located in sporting events, 'furnaces are located in basements' is true.", "Provided that the notion that 'nurse midwifes provide care' is untrue, we know that ocean currents carry warmer water from the tropics into colder regions.", 'It is not the case that ocean currents carry warmer water from the tropics into colder regions.', 'Assuming the claim that pretzels are located in sporting events does not reflect reality, we know that antidepressant medication is for depression where specific types of symptoms are present.', 'Provided that the claim that pretzels are located in sporting events does not reflect reality, we know that the claim that antidepressant medication is for depression where specific types of symptoms are present does not correspond with reality.']
|
Once we know the statement that states if the statement 'proteomics is the analysis of all proteins in a cell, tissue, or organism' can be considered false, then if trees represent human beings, then knits are needlework is false, we also know that either melanin is the skin's natural protection against the UV rays contained in sunlight or rulers Locate current and past leaders of most countries around the world. Provided that furnaces are located in basements, we know that the notion that 'if trees represent human beings, then knits are needlework' is untrue. On the condition that nurse midwifes provide care, it is definitely the case that the notion that 'either melanin is the skin's natural protection against the UV rays contained in sunlight or rulers Locate current and past leaders of most countries around the world' is untrue. So long as pretzels are located in sporting events, 'furnaces are located in basements' is true. Provided that the notion that 'nurse midwifes provide care' is untrue, we know that ocean currents carry warmer water from the tropics into colder regions. It is not the case that ocean currents carry warmer water from the tropics into colder regions. Assuming the claim that pretzels are located in sporting events does not reflect reality, we know that antidepressant medication is for depression where specific types of symptoms are present. Provided that the claim that pretzels are located in sporting events does not reflect reality, we know that the claim that antidepressant medication is for depression where specific types of symptoms are present does not correspond with reality.
|
The claim that proteomics is the analysis of all proteins in a cell, tissue, or organism is true.
|
Proteomics is the automated, large-scale study of how proteins work.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Either [4] or [5].).
Not (Either [4] or [5].). [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [6], then (Not (Either [4] or [5].).).
[6] [SC2-3]
Therefore, Not (Either [4] or [5].)..
[SC2-3]
Modus Tonens:
If (Not [6].), then [8].
Not [8].
Therefore, [6].
[SC2-1]
Modus Ponens:
If [3], then (Not (If [1], then [2].).).
[3] [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC2-2]
Modus Ponens:
If [7], then [3].
[7] [SC2-3]
Therefore, [3].
[SC2-3]
Reductio Ad Absurdum:
If (Not [7].), then [9].
If (Not [7].), then (Not [9].).
Therefore, [7].
|
{0: 'Proteomics is the analysis of all proteins in a cell, tissue, or organism.', 1: 'Trees represent human beings.', 2: 'Knits are needlework.', 3: 'Furnaces are located in basements.', 4: "Melanin is the skin's natural protection against the UV rays contained in sunlight.", 5: 'Rulers Locate current and past leaders of most countries around the world.', 6: 'Nurse midwifes provide care.', 7: 'Pretzels are located in sporting events.', 8: 'Ocean currents carry warmer water from the tropics into colder regions.', 9: 'Antidepressant medication is for depression where specific types of symptoms are present.'}
| 7 |
6,320 |
["Whenever it is true that the claim that either strong selection has an important impact on the theory of adaptation or different cultures grow various types of eggplant does not reflect reality, 'either all species associate freely with other primates, mainly guenons or older men can work with young fathers' is true.", 'The claim that either all species associate freely with other primates, mainly guenons or older men can work with young fathers does not reflect reality.', "Should it be the case that the notion that 'if strong selection has an important impact on the theory of adaptation, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent' is untrue, it follows that most cornmon herbs are easy to grow and quite drought resistant.", 'Given that different cultures grow various types of eggplant, it can be inferred that pest snails feed on plants.', 'One may reasonably assume that if pest snails feed on plants, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent.', 'Those that suggest convection is a form of heat transfer due to the mass movement of the atmosphere are wrong.', "Either one or both of these statements are true: young women are incapable of consenting to sex, or if the claim that if the notion that 'if strong selection has an important impact on the theory of adaptation, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent' is untrue, then it is not the case that most cornmon herbs are easy to grow and quite drought resistant is false, then convection is a form of heat transfer due to the mass movement of the atmosphere.", 'On the condition that young women are incapable of consenting to sex, it is definitely the case that sodium compounds are used in soaps , toothpaste , baking and antiacids .', 'Assuming young women are incapable of consenting to sex, we know that the claim that sodium compounds are used in soaps , toothpaste , baking and antiacids has no merit.']
|
Whenever it is true that the claim that either strong selection has an important impact on the theory of adaptation or different cultures grow various types of eggplant does not reflect reality, 'either all species associate freely with other primates, mainly guenons or older men can work with young fathers' is true. The claim that either all species associate freely with other primates, mainly guenons or older men can work with young fathers does not reflect reality. Should it be the case that the notion that 'if strong selection has an important impact on the theory of adaptation, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent' is untrue, it follows that most cornmon herbs are easy to grow and quite drought resistant. Given that different cultures grow various types of eggplant, it can be inferred that pest snails feed on plants. One may reasonably assume that if pest snails feed on plants, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent. Those that suggest convection is a form of heat transfer due to the mass movement of the atmosphere are wrong. Either one or both of these statements are true: young women are incapable of consenting to sex, or if the claim that if the notion that 'if strong selection has an important impact on the theory of adaptation, then adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent' is untrue, then it is not the case that most cornmon herbs are easy to grow and quite drought resistant is false, then convection is a form of heat transfer due to the mass movement of the atmosphere. On the condition that young women are incapable of consenting to sex, it is definitely the case that sodium compounds are used in soaps , toothpaste , baking and antiacids . Assuming young women are incapable of consenting to sex, we know that the claim that sodium compounds are used in soaps , toothpaste , baking and antiacids has no merit.
|
The claim that adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent holds true.
|
The statement that states adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent is false.
|
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 (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, Either [1] or [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [0].).), then [4].
If (Not (If [1], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then [7]. [SC1-3]
Not [7].
Therefore, If (Not (If [1], then [0].).), then (Not [4].)..
[SC1-3]
Disjunctive Syllogism:
Either [8] or (If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then [7].).
Not [8]. [SC2-4]
Therefore, If (Not (If (Not (If [1], then [0].).), then (Not [4].).).), then [7]..
[SC2-4]
Reductio Ad Absurdum:
If [8], then [9].
If [8], then (Not [9].).
Therefore, Not [8]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [3].
If [3], then [0].
Therefore, If [2], then [0]..
|
{0: 'Adsorption occurs when gas molecules become trapped in the pores of a porous solid adsorbent.', 1: 'Strong selection has an important impact on the theory of adaptation.', 2: 'Different cultures grow various types of eggplant.', 3: 'Pest snails feed on plants.', 4: 'Most cornmon herbs are easy to grow and quite drought resistant.', 5: 'All species associate freely with other primates, mainly guenons .', 6: 'Older men can work with young fathers.', 7: 'Convection is a form of heat transfer due to the mass movement of the atmosphere.', 8: 'Young women are incapable of consenting to sex.', 9: 'Sodium compounds are used in soaps , toothpaste , baking and antiacids .'}
| 7 |
6,942 |
["When the statement that 'rationalization is a psychological defense to justify one's doing terrible things' is incorrect is true, it follows that cans are used for food.", "It is rational to believe that either pornography is a dangerous medium or if the statement that 'rationalization is a psychological defense to justify one's doing terrible things' is incorrect, then the statement that 'some mushrooms grow in lawns' is incorrect.", 'If pornography is a dangerous medium, then saturation is independent of value and hue.', "The statement that 'saturation is independent of value and hue' is incorrect.", 'Assuming either muskrats have long teeth, two upper and two lowers or issues concern genetics, we know that breast cancer starts from the mutation of a single cell in the breast.', "Whenever it is true that breast cancer starts from the mutation of a single cell in the breast, 'if cans are used for food, then some mushrooms grow in lawns' is true.", 'One may reasonably assume that if it is not the case that either muskrats have long teeth, two upper and two lowers or issues concern genetics, then american cheese is a processed blend of different cheeses.', 'Should it be the case that it is not the case that either muskrats have long teeth, two upper and two lowers or issues concern genetics, it follows that the statement that states american cheese is a processed blend of different cheeses is false.']
|
When the statement that 'rationalization is a psychological defense to justify one's doing terrible things' is incorrect is true, it follows that cans are used for food. It is rational to believe that either pornography is a dangerous medium or if the statement that 'rationalization is a psychological defense to justify one's doing terrible things' is incorrect, then the statement that 'some mushrooms grow in lawns' is incorrect. If pornography is a dangerous medium, then saturation is independent of value and hue. The statement that 'saturation is independent of value and hue' is incorrect. Assuming either muskrats have long teeth, two upper and two lowers or issues concern genetics, we know that breast cancer starts from the mutation of a single cell in the breast. Whenever it is true that breast cancer starts from the mutation of a single cell in the breast, 'if cans are used for food, then some mushrooms grow in lawns' is true. One may reasonably assume that if it is not the case that either muskrats have long teeth, two upper and two lowers or issues concern genetics, then american cheese is a processed blend of different cheeses. Should it be the case that it is not the case that either muskrats have long teeth, two upper and two lowers or issues concern genetics, it follows that the statement that states american cheese is a processed blend of different cheeses is false.
|
It is a simple truth that rationalization is a psychological defense to justify one's doing terrible things.
|
It is a simple truth that rationalization is a psychological defense to justify one's doing terrible things.
|
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]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Ponens:
If (Either [4] or [5].), then (If [2], then [1].). [SC1-3]
Either [4] or [5]. [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Hypothetical Syllogism:
If (Either [4] or [5].), then [7].
If [7], then (If [2], then [1].).
Therefore, If (Either [4] or [5].), then (If [2], then [1].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [8].
If (Not (Either [4] or [5].).), then (Not [8].).
Therefore, Either [4] or [5]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then (Not [1].).).
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Tonens:
If [3], then [6].
Not [6].
Therefore, Not [3]..
|
{0: "Rationalization is a psychological defense to justify one's doing terrible things.", 1: 'Some mushrooms grow in lawns.', 2: 'Cans are used for food.', 3: 'Pornography is a dangerous medium.', 4: 'Muskrats have long teeth, two upper and two lowers.', 5: 'Issues concern genetics.', 6: 'Saturation is independent of value and hue.', 7: 'Breast cancer starts from the mutation of a single cell in the breast.', 8: 'American cheese is a processed blend of different cheeses.'}
| 7 |
6,351 |
['The claim that communication is the currency through which every achievement is accomplished does not reflect reality.', "Whenever it is true that it is not true that if it is a common misconception that either communication is the currency through which every achievement is accomplished or cloning is a process for creating a genetic twin of an individual, then insurance is one area where the finances always come first and the needs of others fall in behind, 'little girls love to have matching pinafores made up to match their Mothers for cookie baking time' is true.", "On the condition that some plants have fruit capsules, it is definitely the case that the statement 'insurance is one area where the finances always come first and the needs of others fall in behind' can be considered false.", "Whenever it is true that human beings are organisms who possess a basic set of intelligences, 'if it is not true that if it is a common misconception that either communication is the currency through which every achievement is accomplished or cloning is a process for creating a genetic twin of an individual, then insurance is one area where the finances always come first and the needs of others fall in behind, then the statement that states little girls love to have matching pinafores made up to match their Mothers for cookie baking time is false' is true.", 'Many people rightly believe that human beings are organisms who possess a basic set of intelligences.', 'It is a fact that either most plants do have four direction symmetry because they are unable to move around or either inflammation occurs immediately after a physical, chemical or microbiological injury or many carnivorous invertebrates rely on camouflage to lure their prey.', 'Provided that most plants do have four direction symmetry because they are unable to move around, we know that rats eat undefended eggs and defenseless young.', 'On the condition that either inflammation occurs immediately after a physical, chemical or microbiological injury or many carnivorous invertebrates rely on camouflage to lure their prey, it is definitely the case that some plants have fruit capsules.', "Should it be the case that the statement 'if rats eat undefended eggs and defenseless young, then the statement 'insurance is one area where the finances always come first and the needs of others fall in behind' can be considered false' can be considered false, it follows that life is a flowing cycle that continues forever, creating and destroying.", "The notion that 'life is a flowing cycle that continues forever, creating and destroying' is untrue."]
|
The claim that communication is the currency through which every achievement is accomplished does not reflect reality. Whenever it is true that it is not true that if it is a common misconception that either communication is the currency through which every achievement is accomplished or cloning is a process for creating a genetic twin of an individual, then insurance is one area where the finances always come first and the needs of others fall in behind, 'little girls love to have matching pinafores made up to match their Mothers for cookie baking time' is true. On the condition that some plants have fruit capsules, it is definitely the case that the statement 'insurance is one area where the finances always come first and the needs of others fall in behind' can be considered false. Whenever it is true that human beings are organisms who possess a basic set of intelligences, 'if it is not true that if it is a common misconception that either communication is the currency through which every achievement is accomplished or cloning is a process for creating a genetic twin of an individual, then insurance is one area where the finances always come first and the needs of others fall in behind, then the statement that states little girls love to have matching pinafores made up to match their Mothers for cookie baking time is false' is true. Many people rightly believe that human beings are organisms who possess a basic set of intelligences. It is a fact that either most plants do have four direction symmetry because they are unable to move around or either inflammation occurs immediately after a physical, chemical or microbiological injury or many carnivorous invertebrates rely on camouflage to lure their prey. Provided that most plants do have four direction symmetry because they are unable to move around, we know that rats eat undefended eggs and defenseless young. On the condition that either inflammation occurs immediately after a physical, chemical or microbiological injury or many carnivorous invertebrates rely on camouflage to lure their prey, it is definitely the case that some plants have fruit capsules. Should it be the case that the statement 'if rats eat undefended eggs and defenseless young, then the statement 'insurance is one area where the finances always come first and the needs of others fall in behind' can be considered false' can be considered false, it follows that life is a flowing cycle that continues forever, creating and destroying. The notion that 'life is a flowing cycle that continues forever, creating and destroying' is untrue.
|
Those that suggest cloning is a process for creating a genetic twin of an individual are right.
|
The claim that cloning is a process for creating a genetic twin of an individual has no merit.
|
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]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [0].).), then [2].).), then [3].
If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-3]
Modus Ponens:
If [7], then (If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].).).
[7]
Therefore, If (Not (If (Not (Either [1] or [0].).), then [2].).), then (Not [3].)..
[SC2-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (Not [2].). [SC2-3]
If [5], then (Not [2].).
Therefore, Not [2]..
[SC1-3]
Constructive Dilemma:
Either [8] or (Either [9] or [10].).
If [8], then [4].
If (Either [9] or [10].), then [5].
Therefore, Either [4] or [5]..
[SC2-3]
Modus Tonens:
If (Not (If [4], then (Not [2].).).), then [6].
Not [6].
Therefore, If [4], then (Not [2].)..
|
{0: 'Cloning is a process for creating a genetic twin of an individual.', 1: 'Communication is the currency through which every achievement is accomplished.', 2: 'Insurance is one area where the finances always come first and the needs of others fall in behind.', 3: 'Little girls love to have matching pinafores made up to match their Mothers for cookie baking time.', 4: 'Rats eat undefended eggs and defenseless young.', 5: 'Some plants have fruit capsules.', 6: 'Life is a flowing cycle that continues forever, creating and destroying.', 7: 'Human beings are organisms who possess a basic set of intelligences.', 8: 'Most plants do have four direction symmetry because they are unable to move around.', 9: 'Inflammation occurs immediately after a physical, chemical or microbiological injury.', 10: 'Many carnivorous invertebrates rely on camouflage to lure their prey.'}
| 7 |
6,418 |
["We know that at least one of two things is true: animals move around to eat plants or other animals, or frequent bathing can tend to dry out a ferret's skin.", 'Given that animals move around to eat plants or other animals, it can be inferred that exercising cause fitnesses.', "Once we know frequent bathing can tend to dry out a ferret's skin, we also know that exercising cause fitnesses.", "Once we know the statement, if the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then video editing is a creative process, does not hold, we also know that it is a common misconception that some theorists say shame is the basic cause for addictions and for codependency.", "If the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then some rotifers survive summer.", "When eggs become infective after being outside the pig for one month is true, it follows that if the statement, if the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then video editing is a creative process, does not hold, then some theorists say shame is the basic cause for addictions and for codependency.", 'The claim that eggs become infective after being outside the pig for one month is true.', 'It is a fact that either blizzards are common in north-eastern United States and upper Midwest or if monkeys are fast learners, highly adaptable and innovative, then bees feed on nectar and pollen from flowers.', 'Given that blizzards are common in north-eastern United States and upper Midwest, it can be inferred that if some rotifers survive summer, then the claim that video editing is a creative process does not correspond with reality.', 'When if monkeys are fast learners, highly adaptable and innovative, then bees feed on nectar and pollen from flowers is true, it follows that if some rotifers survive summer, then the claim that video editing is a creative process does not correspond with reality.']
|
We know that at least one of two things is true: animals move around to eat plants or other animals, or frequent bathing can tend to dry out a ferret's skin. Given that animals move around to eat plants or other animals, it can be inferred that exercising cause fitnesses. Once we know frequent bathing can tend to dry out a ferret's skin, we also know that exercising cause fitnesses. Once we know the statement, if the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then video editing is a creative process, does not hold, we also know that it is a common misconception that some theorists say shame is the basic cause for addictions and for codependency. If the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then some rotifers survive summer. When eggs become infective after being outside the pig for one month is true, it follows that if the statement, if the statement that 'if exercising cause fitnesses, then those that suggest baths fill with water are wrong' is incorrect, then video editing is a creative process, does not hold, then some theorists say shame is the basic cause for addictions and for codependency. The claim that eggs become infective after being outside the pig for one month is true. It is a fact that either blizzards are common in north-eastern United States and upper Midwest or if monkeys are fast learners, highly adaptable and innovative, then bees feed on nectar and pollen from flowers. Given that blizzards are common in north-eastern United States and upper Midwest, it can be inferred that if some rotifers survive summer, then the claim that video editing is a creative process does not correspond with reality. When if monkeys are fast learners, highly adaptable and innovative, then bees feed on nectar and pollen from flowers is true, it follows that if some rotifers survive summer, then the claim that video editing is a creative process does not correspond with reality.
|
Those that suggest baths fill with water are wrong.
|
We know that the claim that baths add water is false.
|
Uncertain
|
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]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [2].). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [5]. [SC1-3]
If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then (Not [5].).
Therefore, If (Not (If [1], then (Not [0].).).), then [2]..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [5].).
[7]
Therefore, If (Not (If (Not (If [1], then (Not [0].).).), then [2].).), then [5]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then [6].
If [6], then (Not [2].). [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If [6], then (Not [2].).).
If (If [9], then [10].), then (If [6], then (Not [2].).).
Therefore, If [6], then (Not [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then [1].
If [4], then [1].
Therefore, [1].
|
{0: 'Baths fill with water.', 1: 'Exercising cause fitnesses.', 2: 'Video editing is a creative process.', 3: 'Animals move around to eat plants or other animals.', 4: "Frequent bathing can tend to dry out a ferret's skin.", 5: 'Some theorists say shame is the basic cause for addictions and for codependency.', 6: 'Some rotifers survive summer.', 7: 'Eggs become infective after being outside the pig for one month.', 8: 'Blizzards are common in north-eastern United States and upper Midwest.', 9: 'Monkeys are fast learners, highly adaptable and innovative.', 10: 'Bees feed on nectar and pollen from flowers.'}
| 7 |
6,945 |
['Given that it is not true that if pictures are concrete representations of reality, then either some cockroaches have partial metamorphosis or dimensions represent the size of the gemstone more accurately than carat weight, it can be inferred that the claim that most bark owls eat mice does not correspond with reality.', 'The statement that states vestibular therapy involves moving the person around passively is false.', 'Should it be the case that the claim that if the statement, pictures are concrete representations of reality, does not hold, then vestibular therapy involves moving the person around passively does not reflect reality, it follows that museums have examples.', 'It is not true that museums have examples.', 'When the claim that if it is not true that if pictures are concrete representations of reality, then either some cockroaches have partial metamorphosis or dimensions represent the size of the gemstone more accurately than carat weight, then chocolate contains two antioxidants that are believed to have significant health benefits does not reflect reality is true, it follows that parrots reach maturity.', 'Those that suggest parrots reach maturity are wrong.', "Whenever it is true that chocolate contains two antioxidants that are believed to have significant health benefits, 'either some compression algorithms lose some information in exchange for compact data storage or animals communicate in pictures, feelings, emotions and concepts' is true.", 'When either some compression algorithms lose some information in exchange for compact data storage or animals communicate in pictures, feelings, emotions and concepts is true, it follows that most bark owls eat mice.']
|
Given that it is not true that if pictures are concrete representations of reality, then either some cockroaches have partial metamorphosis or dimensions represent the size of the gemstone more accurately than carat weight, it can be inferred that the claim that most bark owls eat mice does not correspond with reality. The statement that states vestibular therapy involves moving the person around passively is false. Should it be the case that the claim that if the statement, pictures are concrete representations of reality, does not hold, then vestibular therapy involves moving the person around passively does not reflect reality, it follows that museums have examples. It is not true that museums have examples. When the claim that if it is not true that if pictures are concrete representations of reality, then either some cockroaches have partial metamorphosis or dimensions represent the size of the gemstone more accurately than carat weight, then chocolate contains two antioxidants that are believed to have significant health benefits does not reflect reality is true, it follows that parrots reach maturity. Those that suggest parrots reach maturity are wrong. Whenever it is true that chocolate contains two antioxidants that are believed to have significant health benefits, 'either some compression algorithms lose some information in exchange for compact data storage or animals communicate in pictures, feelings, emotions and concepts' is true. When either some compression algorithms lose some information in exchange for compact data storage or animals communicate in pictures, feelings, emotions and concepts is true, it follows that most bark owls eat mice.
|
There is good reason to believe that either some cockroaches have partial metamorphosis or dimensions represent the size of the gemstone more accurately than carat weight.
|
It is a fact that either cockroaches do have a bad reputation, but most are actually very beneficial insects or dimensions are entities that represent dimensional information about the facts.
|
Uncertain
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Either [0] or [1].).).), then [4]. [SC1-2]
If (Not (If [2], then (Either [0] or [1].).).), then (Not [4].).
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [2], then (Either [0] or [1].).).), then [6]. [SC1-3]
If [6], then [4]. [SC2-3]
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [4]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [6].).), then [9].
Not [9].
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [6]..
[SC2-3]
Hypothetical Syllogism:
If [6], then (Either [7] or [8].).
If (Either [7] or [8].), then [4].
Therefore, If [6], then [4]..
[SC2-1]
Modus Tonens:
If (Not [2].), then [3]. [SC1-2]
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: 'Some cockroaches have partial metamorphosis.', 1: 'Dimensions represent the size of the gemstone more accurately than carat weight.', 2: 'Pictures are concrete representations of reality.', 3: 'Vestibular therapy involves moving the person around passively.', 4: 'Most bark owls eat mice.', 5: 'Museums have examples.', 6: 'Chocolate contains two antioxidants that are believed to have significant health benefits.', 7: 'Some compression algorithms lose some information in exchange for compact data storage.', 8: 'Animals communicate in pictures, feelings, emotions and concepts.', 9: 'Parrots reach maturity.'}
| 7 |
6,795 |
["Provided that hare is a noun, which refers to a type of rabbit, we know that either monoecious hydrilla looks and grows somewhat differently than the southern female populations or tennis is a year-round sport and it's hard to keep one's total commitment every day.", 'It is a simple truth that hare is a noun, which refers to a type of rabbit.', 'Should it be the case that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region, it follows that if monoecious hydrilla looks and grows somewhat differently than the southern female populations, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation.', "When the claim that if tennis is a year-round sport and it's hard to keep one's total commitment every day, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation does not correspond with reality is true, it follows that the claim that snails are an intermediate host for some of the parasites is false.", 'Once we know the claim that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region is false, we also know that those that suggest either antibodies bind primarily to the products of the envelope gene or large mouths fill with teeth are wrong.', "If the claim that if tennis is a year-round sport and it's hard to keep one's total commitment every day, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation does not correspond with reality, then roundworms can be a health risk for humans.", 'Should it be the case that roundworms can be a health risk for humans, it follows that snails are an intermediate host for some of the parasites.', 'When tattoos result from the injection of ink under the skin to make a design or symbol is true, it follows that if the claim that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region is false, then either antibodies bind primarily to the products of the envelope gene or large mouths fill with teeth.', 'tattoos result from the injection of ink under the skin to make a design or symbol.']
|
Provided that hare is a noun, which refers to a type of rabbit, we know that either monoecious hydrilla looks and grows somewhat differently than the southern female populations or tennis is a year-round sport and it's hard to keep one's total commitment every day. It is a simple truth that hare is a noun, which refers to a type of rabbit. Should it be the case that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region, it follows that if monoecious hydrilla looks and grows somewhat differently than the southern female populations, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation. When the claim that if tennis is a year-round sport and it's hard to keep one's total commitment every day, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation does not correspond with reality is true, it follows that the claim that snails are an intermediate host for some of the parasites is false. Once we know the claim that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region is false, we also know that those that suggest either antibodies bind primarily to the products of the envelope gene or large mouths fill with teeth are wrong. If the claim that if tennis is a year-round sport and it's hard to keep one's total commitment every day, then either pressure is sensed by very fine deflections of a sensing diaphragm or electromagnetic radiation is radiation does not correspond with reality, then roundworms can be a health risk for humans. Should it be the case that roundworms can be a health risk for humans, it follows that snails are an intermediate host for some of the parasites. When tattoos result from the injection of ink under the skin to make a design or symbol is true, it follows that if the claim that if duck hunting is their sport, then climate refers to the average weather characteristics in a given region is false, then either antibodies bind primarily to the products of the envelope gene or large mouths fill with teeth. tattoos result from the injection of ink under the skin to make a design or symbol.
|
Either one or both of these statements are true: pressure is sensed by very fine deflections of a sensing diaphragm, or electromagnetic radiation is radiation.
|
Either one or both of these statements are true: pressure is sensed by very fine deflections of a sensing diaphragm, or electromagnetic radiation is radiation.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If [4], then (Either [2] or [3].).
[4]
Therefore, Either [2] or [3]..
[SC2-1]
Modus Ponens:
If (If [5], then [6].), then (If [2], then (Either [0] or [1].).).
If [5], then [6]. [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then (Either [8] or [9].). [SC1-3]
If (Not (If [5], then [6].).), then (Not (Either [8] or [9].).).
Therefore, If [5], then [6]..
[SC1-3]
Modus Ponens:
If [11], then (If (Not (If [5], then [6].).), then (Either [8] or [9].).).
[11]
Therefore, If (Not (If [5], then [6].).), then (Either [8] or [9].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then (Either [0] or [1].).).), then [7]. [SC1-2]
If (Not (If [3], then (Either [0] or [1].).).), then (Not [7].).
Therefore, If [3], then (Either [0] or [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [3], then (Either [0] or [1].).).), then [10].
If [10], then [7].
Therefore, If (Not (If [3], then (Either [0] or [1].).).), then [7]..
|
{0: 'Pressure is sensed by very fine deflections of a sensing diaphragm.', 1: 'Electromagnetic radiation is radiation.', 2: 'Monoecious hydrilla looks and grows somewhat differently than the southern female populations.', 3: "Tennis is a year-round sport and it's hard to keep one's total commitment every day.", 4: 'Hare is a noun, which refers to a type of rabbit.', 5: 'Duck hunting is their sport.', 6: 'Climate refers to the average weather characteristics in a given region.', 7: 'Snails are an intermediate host for some of the parasites.', 8: 'Antibodies bind primarily to the products of the envelope gene.', 9: 'Large mouths fill with teeth.', 10: 'Roundworms can be a health risk for humans.', 11: 'Tattoos result from the injection of ink under the skin to make a design or symbol.'}
| 7 |
6,145 |
['The statement, malaria can sometimes cause death, does not hold.', 'Given that the claim that if chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes, then if the claim that some devastate conditions affect women does not reflect reality, then malaria can sometimes cause death is false, it can be inferred that it is not the case that most newborn babies benefit from treatments.', "So long as the claim that chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes does not correspond with reality, 'most western gulls have backs' is true.", 'We know that the claim that most western gulls have backs is false.', 'Assuming the claim that if chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes, then if the claim that some devastate conditions affect women does not reflect reality, then malaria can sometimes cause death is false, we know that red algae are most diverse in the warm ocean waters of the tropics.', 'Either variation depends on functional interaction or if red algae are most diverse in the warm ocean waters of the tropics, then most newborn babies benefit from treatments.', 'We know that either either narrow feet have toes or privacy is especially important to older people or either light is light, darkness is darkness or armadillos reach sexual maturity.', 'When either narrow feet have toes or privacy is especially important to older people is true, it follows that some people mistakenly believe that variation depends on functional interaction.', "So long as either light is light, darkness is darkness or armadillos reach sexual maturity, 'some people mistakenly believe that variation depends on functional interaction' is true."]
|
The statement, malaria can sometimes cause death, does not hold. Given that the claim that if chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes, then if the claim that some devastate conditions affect women does not reflect reality, then malaria can sometimes cause death is false, it can be inferred that it is not the case that most newborn babies benefit from treatments. So long as the claim that chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes does not correspond with reality, 'most western gulls have backs' is true. We know that the claim that most western gulls have backs is false. Assuming the claim that if chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes, then if the claim that some devastate conditions affect women does not reflect reality, then malaria can sometimes cause death is false, we know that red algae are most diverse in the warm ocean waters of the tropics. Either variation depends on functional interaction or if red algae are most diverse in the warm ocean waters of the tropics, then most newborn babies benefit from treatments. We know that either either narrow feet have toes or privacy is especially important to older people or either light is light, darkness is darkness or armadillos reach sexual maturity. When either narrow feet have toes or privacy is especially important to older people is true, it follows that some people mistakenly believe that variation depends on functional interaction. So long as either light is light, darkness is darkness or armadillos reach sexual maturity, 'some people mistakenly believe that variation depends on functional interaction' is true.
|
Many people rightly believe that some devastate conditions affect women.
|
Many people rightly believe that some devastate conditions affect women.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].). [SC1-2]
[2] [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [4]. [SC1-3]
If (Not (If [2], then (If (Not [0].), then [1].).).), then (Not [4].).
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [5].
If [5], then [4]. [SC2-4]
Therefore, If (Not (If [2], then (If (Not [0].), then [1].).).), then [4]..
[SC2-4]
Disjunctive Syllogism:
Either [6] or (If [5], then [4].).
Not [6]. [SC2-5]
Therefore, If [5], then [4]..
[SC2-5]
Disjunction Elimination:
Either (Either [7] or [8].) or (Either [9] or [10].).
If (Either [7] or [8].), then (Not [6].).
If (Either [9] or [10].), then (Not [6].).
Therefore, Not [6]..
[SC2-2]
Modus Tonens:
If (Not [2].), then [3].
Not [3].
Therefore, [2].
|
{0: 'Some devastate conditions affect women.', 1: 'Malaria can sometimes cause death.', 2: 'Chemical approaches to the design of specific inhibitors for labeling the active sites of enzymes.', 3: 'Most western gulls have backs.', 4: 'Most newborn babies benefit from treatments.', 5: 'Red algae are most diverse in the warm ocean waters of the tropics.', 6: 'Variation depends on functional interaction.', 7: 'Narrow feet have toes.', 8: 'Privacy is especially important to older people.', 9: 'Light is light, darkness is darkness.', 10: 'Armadillos reach sexual maturity.'}
| 7 |
6,826 |
["So long as the statement, a monocline is a formation, does not hold, 'insomnia is difficulty falling or staying asleep' is true.", 'If many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing.', "Whenever it is true that ozone is a form of oxygen in which the molecule contains three atoms instead of two, 'the statement that 'a sheath is protection' is incorrect' is true.", "On the condition that the notion that 'if if many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing, then if the claim that if the statement, a monocline is a formation, does not hold, then the claim that insomnia is difficulty falling or staying asleep has no merit has no merit, then ozone is a form of oxygen in which the molecule contains three atoms instead of two' is untrue, it is definitely the case that some people mistakenly believe that cages have grates.", "Once we know the notion that 'if ozone is a form of oxygen in which the molecule contains three atoms instead of two, then a sheath is protection' is untrue, we also know that either penguins forage for food or some wind turbines have a vertical axis.", "One may reasonably assume that if the notion that 'if ozone is a form of oxygen in which the molecule contains three atoms instead of two, then a sheath is protection' is untrue, then those that suggest either penguins forage for food or some wind turbines have a vertical axis are wrong.", "Whenever it is true that the claim that if the notion that 'if if many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing, then if the claim that if the statement, a monocline is a formation, does not hold, then the claim that insomnia is difficulty falling or staying asleep has no merit has no merit, then ozone is a form of oxygen in which the molecule contains three atoms instead of two' is untrue, then cages have grates does not reflect reality, 'feminism is about challenging unequal power structures' is true.", 'Some people mistakenly believe that feminism is about challenging unequal power structures.']
|
So long as the statement, a monocline is a formation, does not hold, 'insomnia is difficulty falling or staying asleep' is true. If many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing. Whenever it is true that ozone is a form of oxygen in which the molecule contains three atoms instead of two, 'the statement that 'a sheath is protection' is incorrect' is true. On the condition that the notion that 'if if many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing, then if the claim that if the statement, a monocline is a formation, does not hold, then the claim that insomnia is difficulty falling or staying asleep has no merit has no merit, then ozone is a form of oxygen in which the molecule contains three atoms instead of two' is untrue, it is definitely the case that some people mistakenly believe that cages have grates. Once we know the notion that 'if ozone is a form of oxygen in which the molecule contains three atoms instead of two, then a sheath is protection' is untrue, we also know that either penguins forage for food or some wind turbines have a vertical axis. One may reasonably assume that if the notion that 'if ozone is a form of oxygen in which the molecule contains three atoms instead of two, then a sheath is protection' is untrue, then those that suggest either penguins forage for food or some wind turbines have a vertical axis are wrong. Whenever it is true that the claim that if the notion that 'if if many state legislatures vote electronically, then combs come in a wide variety of sizes and styles, with different tooth lengths and spacing, then if the claim that if the statement, a monocline is a formation, does not hold, then the claim that insomnia is difficulty falling or staying asleep has no merit has no merit, then ozone is a form of oxygen in which the molecule contains three atoms instead of two' is untrue, then cages have grates does not reflect reality, 'feminism is about challenging unequal power structures' is true. Some people mistakenly believe that feminism is about challenging unequal power structures.
|
Many people rightly believe that a monocline is a formation.
|
We know that the claim that a monocline is a formation is false.
|
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]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].). [SC1-3]
If [4], then [5].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).), then [6]. [SC1-4]
If (Not (If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).), then (Not [6].).
Therefore, If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].)..
[SC1-4]
Modus Tonens:
If (Not (If (Not (If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).), then [6].).), then [9].
Not [9].
Therefore, If (Not (If (If [4], then [5].), then (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).), then [6]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then [3]. [SC1-3]
If [2], then (Not [3].).
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then (Either [7] or [8].).
If (Not (If [2], then [3].).), then (Not (Either [7] or [8].).).
Therefore, If [2], then [3]..
|
{0: 'A monocline is a formation.', 1: 'Insomnia is difficulty falling or staying asleep.', 2: 'Ozone is a form of oxygen in which the molecule contains three atoms instead of two.', 3: 'A sheath is protection.', 4: 'Many state legislatures vote electronically.', 5: 'Combs come in a wide variety of sizes and styles, with different tooth lengths and spacing.', 6: 'Cages have grates.', 7: 'Penguins forage for food.', 8: 'Some wind turbines have a vertical axis.', 9: 'Feminism is about challenging unequal power structures.'}
| 7 |
6,492 |
['It is a fact that either futurists even predict the advent of spiritual machines to be embedded within humans or either either heart attacks come in all shapes and sizes or leaves attract pollinators or all organisms have genes, which consist of alleles, forms of gene coding for one single trait.', 'It is not the case that futurists even predict the advent of spiritual machines to be embedded within humans.', 'Given that either heart attacks come in all shapes and sizes or leaves attract pollinators, it can be inferred that scientists share interest.', "Whenever it is true that scientists share interest, 'some asteroids are actually nuclei of comets that are no longer active' is true.", 'When those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong is true, it follows that ozone is very unstable and reacts readily with carbon compounds.', 'It is a fact that either either most breeders possess dogs or suture material is classified as absorbable or nonabsorbable or serpents bring rain and thus fertility.', 'Those that suggest either most breeders possess dogs or suture material is classified as absorbable or nonabsorbable are wrong.', 'If the claim that if those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong, then it is not true that ozone is very unstable and reacts readily with carbon compounds does not correspond with reality, then superficial phlebitis locates the inflammation in surface leg veins.', 'Should it be the case that the claim that if those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong, then it is not true that ozone is very unstable and reacts readily with carbon compounds does not correspond with reality, it follows that it is not the case that superficial phlebitis locates the inflammation in surface leg veins.']
|
It is a fact that either futurists even predict the advent of spiritual machines to be embedded within humans or either either heart attacks come in all shapes and sizes or leaves attract pollinators or all organisms have genes, which consist of alleles, forms of gene coding for one single trait. It is not the case that futurists even predict the advent of spiritual machines to be embedded within humans. Given that either heart attacks come in all shapes and sizes or leaves attract pollinators, it can be inferred that scientists share interest. Whenever it is true that scientists share interest, 'some asteroids are actually nuclei of comets that are no longer active' is true. When those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong is true, it follows that ozone is very unstable and reacts readily with carbon compounds. It is a fact that either either most breeders possess dogs or suture material is classified as absorbable or nonabsorbable or serpents bring rain and thus fertility. Those that suggest either most breeders possess dogs or suture material is classified as absorbable or nonabsorbable are wrong. If the claim that if those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong, then it is not true that ozone is very unstable and reacts readily with carbon compounds does not correspond with reality, then superficial phlebitis locates the inflammation in surface leg veins. Should it be the case that the claim that if those that suggest if serpents bring rain and thus fertility, then if all organisms have genes, which consist of alleles, forms of gene coding for one single trait, then some asteroids are actually nuclei of comets that are no longer active are wrong, then it is not true that ozone is very unstable and reacts readily with carbon compounds does not correspond with reality, it follows that it is not the case that superficial phlebitis locates the inflammation in surface leg veins.
|
It is fair to say that some asteroids are actually nuclei of comets that are no longer active.
|
Those that suggest some asteroids are actually nuclei of comets that are no longer active are wrong.
|
FALSE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [4] or (Either (Either [1] or [2].) or [3].).
Not [4].
Therefore, Either (Either [1] or [2].) or [3]..
[SC2-1]
Hypothetical Syllogism:
If (Either [1] or [2].), then [6].
If [6], then [0].
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Modus Ponens:
If [5], then (If [3], then [0].). [SC1-2]
[5] [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [5], then (If [3], then [0].).).), then [9].
If (Not (If [5], then (If [3], then [0].).).), then (Not [9].). [SC2-3]
Therefore, If [5], then (If [3], then [0].)..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If [5], then (If [3], then [0].).).), then (Not [9].).).), then [10].
If (Not (If (Not (If [5], then (If [3], then [0].).).), then (Not [9].).).), then (Not [10].).
Therefore, If (Not (If [5], then (If [3], then [0].).).), then (Not [9].)..
[SC2-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or [5].
Not (Either [7] or [8].).
Therefore, [5].
|
{0: 'Some asteroids are actually nuclei of comets that are no longer active.', 1: 'Heart attacks come in all shapes and sizes.', 2: 'Leaves attract pollinators.', 3: 'All organisms have genes, which consist of alleles, forms of gene coding for one single trait.', 4: 'Futurists even predict the advent of spiritual machines to be embedded within humans.', 5: 'Serpents bring rain and thus fertility.', 6: 'Scientists share interest.', 7: 'Most breeders possess dogs.', 8: 'Suture material is classified as absorbable or nonabsorbable.', 9: 'Ozone is very unstable and reacts readily with carbon compounds.', 10: 'Superficial phlebitis locates the inflammation in surface leg veins.'}
| 7 |
6,751 |
['Provided that pigeons roost and nest in cubby holes, under bridges and in the eaves and ledges of buildings, we know that if it is a common misconception that either music is a sort of subset of sound design or cools are singles, then strawberries respond to the addition of water through some form of irrigation.', "The statement 'pigeons roost and nest in cubby holes, under bridges and in the eaves and ledges of buildings' can be considered true.", 'At least one of two things is true: angels are wealthy individuals who finance start-ups typically ignored by venture funds, or if it is a common misconception that either music is a sort of subset of sound design or cools are singles, then the claim that strawberries respond to the addition of water through some form of irrigation does not correspond with reality.', 'The statement that states angels are wealthy individuals who finance start-ups typically ignored by venture funds is false.', 'Provided that true meadows are the most picturesque of sub-alpine plant communities, we know that if a pet sitter is a custodian, then the claim that music is a sort of subset of sound design does not reflect reality.', 'The claim that true meadows are the most picturesque of sub-alpine plant communities holds true.', 'There is good reason to believe that either rectal pads absorb urea from the fecal pellet before it is excreted through the anus or a pet sitter is a custodian.', 'The statement that states rectal pads absorb urea from the fecal pellet before it is excreted through the anus is false.']
|
Provided that pigeons roost and nest in cubby holes, under bridges and in the eaves and ledges of buildings, we know that if it is a common misconception that either music is a sort of subset of sound design or cools are singles, then strawberries respond to the addition of water through some form of irrigation. The statement 'pigeons roost and nest in cubby holes, under bridges and in the eaves and ledges of buildings' can be considered true. At least one of two things is true: angels are wealthy individuals who finance start-ups typically ignored by venture funds, or if it is a common misconception that either music is a sort of subset of sound design or cools are singles, then the claim that strawberries respond to the addition of water through some form of irrigation does not correspond with reality. The statement that states angels are wealthy individuals who finance start-ups typically ignored by venture funds is false. Provided that true meadows are the most picturesque of sub-alpine plant communities, we know that if a pet sitter is a custodian, then the claim that music is a sort of subset of sound design does not reflect reality. The claim that true meadows are the most picturesque of sub-alpine plant communities holds true. There is good reason to believe that either rectal pads absorb urea from the fecal pellet before it is excreted through the anus or a pet sitter is a custodian. The statement that states rectal pads absorb urea from the fecal pellet before it is excreted through the anus is false.
|
The statement 'cools are singles' is true.
|
The statement 'cools are singles' is true.
|
TRUE
|
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 [2]. [SC1-2]
If (Not (Either [1] or [0].).), then (Not [2].). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (Either [1] or [0].).), then [2].).
[4]
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If (Not (Either [1] or [0].).), then (Not [2].).).
Not [7].
Therefore, If (Not (Either [1] or [0].).), then (Not [2].)..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].). [SC1-2]
[3] [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [5], then (If [3], then (Not [1].).).
[5]
Therefore, If [3], then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [6] or [3].
Not [6].
Therefore, [3].
|
{0: 'Cools are singles.', 1: 'Music is a sort of subset of sound design.', 2: 'Strawberries respond to the addition of water through some form of irrigation.', 3: 'A pet sitter is a custodian.', 4: 'Pigeons roost and nest in cubby holes, under bridges and in the eaves and ledges of buildings.', 5: 'True meadows are the most picturesque of sub-alpine plant communities.', 6: 'Rectal pads absorb urea from the fecal pellet before it is excreted through the anus.', 7: 'Angels are wealthy individuals who finance start-ups typically ignored by venture funds.'}
| 7 |
6,240 |
['The claim that a supertitle is a translation does not reflect reality.', 'Some people mistakenly believe that if salt marshes are green, mangrove swamps are orange, then a capsid is a protein.', 'Provided that the claim that either a supertitle is a translation or if it is not the case that multinational companies produce and sell products and services around the world, then altruistic behavior is an action designed to help someone in distress does not correspond with reality, we know that sugar is made up of oxygen, hydrogen, and carbon.', 'The statement that states sugar is made up of oxygen, hydrogen, and carbon is false.', 'On the condition that duty cycle is the ratio of average power to peak power, it is definitely the case that most severe irritation comes when eyes are rubbed after touching the sap.', "Whenever it is true that the statement, if if duty cycle is the ratio of average power to peak power, then most severe irritation comes when eyes are rubbed after touching the sap, then if the statement that 'if it is not the case that multinational companies produce and sell products and services around the world, then we know that the claim that altruistic behavior is an action designed to help someone in distress is false' is incorrect, then if salt marshes are green, mangrove swamps are orange, then a capsid is a protein, does not hold, 'ciliates are much faster than flagellates' is true.", "If the statement, if the statement, if if duty cycle is the ratio of average power to peak power, then most severe irritation comes when eyes are rubbed after touching the sap, then if the statement that 'if it is not the case that multinational companies produce and sell products and services around the world, then we know that the claim that altruistic behavior is an action designed to help someone in distress is false' is incorrect, then if salt marshes are green, mangrove swamps are orange, then a capsid is a protein, does not hold, then the statement that states ciliates are much faster than flagellates is false, does not hold, then gold tellurides are rare in Nevada.", 'The claim that gold tellurides are rare in Nevada does not correspond with reality.']
|
The claim that a supertitle is a translation does not reflect reality. Some people mistakenly believe that if salt marshes are green, mangrove swamps are orange, then a capsid is a protein. Provided that the claim that either a supertitle is a translation or if it is not the case that multinational companies produce and sell products and services around the world, then altruistic behavior is an action designed to help someone in distress does not correspond with reality, we know that sugar is made up of oxygen, hydrogen, and carbon. The statement that states sugar is made up of oxygen, hydrogen, and carbon is false. On the condition that duty cycle is the ratio of average power to peak power, it is definitely the case that most severe irritation comes when eyes are rubbed after touching the sap. Whenever it is true that the statement, if if duty cycle is the ratio of average power to peak power, then most severe irritation comes when eyes are rubbed after touching the sap, then if the statement that 'if it is not the case that multinational companies produce and sell products and services around the world, then we know that the claim that altruistic behavior is an action designed to help someone in distress is false' is incorrect, then if salt marshes are green, mangrove swamps are orange, then a capsid is a protein, does not hold, 'ciliates are much faster than flagellates' is true. If the statement, if the statement, if if duty cycle is the ratio of average power to peak power, then most severe irritation comes when eyes are rubbed after touching the sap, then if the statement that 'if it is not the case that multinational companies produce and sell products and services around the world, then we know that the claim that altruistic behavior is an action designed to help someone in distress is false' is incorrect, then if salt marshes are green, mangrove swamps are orange, then a capsid is a protein, does not hold, then the statement that states ciliates are much faster than flagellates is false, does not hold, then gold tellurides are rare in Nevada. The claim that gold tellurides are rare in Nevada does not correspond with reality.
|
The idea that multinational companies produce and sell products and services around the world is true.
|
Multinational companies seek to be good citizens paying taxes and complying with regulations.
|
Uncertain
|
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 [2] or (If (Not [0].), then [1].). [SC1-2]
Not [2].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (If (Not [0].), then [1].).).), then [7].
Not [7].
Therefore, Either [2] or (If (Not [0].), then [1].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Modus Ponens:
If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).). [SC1-3]
If [5], then [6].
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).).).), then [8].
If (Not (If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).).).), then (Not [8].). [SC2-4]
Therefore, If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).)..
[SC2-4]
Modus Tonens:
If (Not (If (Not (If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).).).), then (Not [8].).).), then [9].
Not [9].
Therefore, If (Not (If (If [5], then [6].), then (If (Not (If (Not [0].), then (Not [1].).).), then (If [3], then [4].).).).), then (Not [8].)..
|
{0: 'Multinational companies produce and sell products and services around the world.', 1: 'Altruistic behavior is an action designed to help someone in distress.', 2: 'A supertitle is a translation.', 3: 'Salt marshes are green, mangrove swamps are orange.', 4: 'A capsid is a protein.', 5: 'Duty cycle is the ratio of average power to peak power.', 6: 'Most severe irritation comes when eyes are rubbed after touching the sap.', 7: 'Sugar is made up of oxygen, hydrogen, and carbon.', 8: 'Ciliates are much faster than flagellates.', 9: 'Gold tellurides are rare in Nevada.'}
| 7 |
6,648 |
["Whenever it is true that either wrinkled apricots are old or some green stools have worms, 'either most cows lead cow calves or if the statement that 'physicians often practice at multiple hospitals' is incorrect, then dry eyes benefit from artificial tears' is true.", 'It is rational to believe that either wrinkled apricots are old or some green stools have worms.', 'It is rational to believe that either most pests cause skin problems or random distributions are typical for many kinds of organisms with widely dispersed individuals.', 'Provided that most pests cause skin problems, we know that the claim that most cows lead cow calves does not reflect reality.', 'Should it be the case that random distributions are typical for many kinds of organisms with widely dispersed individuals, it follows that the claim that most cows lead cow calves does not reflect reality.', "We know that either inflammation causes symptoms or suicide is defined as taking one's own life.", 'On the condition that inflammation causes symptoms, it is definitely the case that if dry eyes benefit from artificial tears, then chickens are also sensitive to ammonia.', "Whenever it is true that suicide is defined as taking one's own life, 'if dry eyes benefit from artificial tears, then chickens are also sensitive to ammonia' is true.", "Whenever it is true that japanese women consume amounts, 'it is a common misconception that chickens are also sensitive to ammonia' is true.", 'It is rational to agree that japanese women consume amounts.']
|
Whenever it is true that either wrinkled apricots are old or some green stools have worms, 'either most cows lead cow calves or if the statement that 'physicians often practice at multiple hospitals' is incorrect, then dry eyes benefit from artificial tears' is true. It is rational to believe that either wrinkled apricots are old or some green stools have worms. It is rational to believe that either most pests cause skin problems or random distributions are typical for many kinds of organisms with widely dispersed individuals. Provided that most pests cause skin problems, we know that the claim that most cows lead cow calves does not reflect reality. Should it be the case that random distributions are typical for many kinds of organisms with widely dispersed individuals, it follows that the claim that most cows lead cow calves does not reflect reality. We know that either inflammation causes symptoms or suicide is defined as taking one's own life. On the condition that inflammation causes symptoms, it is definitely the case that if dry eyes benefit from artificial tears, then chickens are also sensitive to ammonia. Whenever it is true that suicide is defined as taking one's own life, 'if dry eyes benefit from artificial tears, then chickens are also sensitive to ammonia' is true. Whenever it is true that japanese women consume amounts, 'it is a common misconception that chickens are also sensitive to ammonia' is true. It is rational to agree that japanese women consume amounts.
|
The statement that states physicians often practice at multiple hospitals is right.
|
Physicians tend to keep patient charts on their desks.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then [1].). [SC1-2]
Not [3]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If (Either [7] or [8].), then (Either [3] or (If (Not [0].), then [1].).).
Either [7] or [8].
Therefore, Either [3] or (If (Not [0].), then [1].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [1], then [2].).
If [10], then (If [1], then [2].).
Therefore, If [1], then [2]..
[SC2-2]
Modus Ponens:
If [4], then (Not [2].).
[4]
Therefore, Not [2]..
|
{0: 'Physicians often practice at multiple hospitals.', 1: 'Dry eyes benefit from artificial tears.', 2: 'Chickens are also sensitive to ammonia.', 3: 'Most cows lead cow calves.', 4: 'Japanese women consume amounts.', 5: 'Most pests cause skin problems.', 6: 'Random distributions are typical for many kinds of organisms with widely dispersed individuals.', 7: 'Wrinkled apricots are old.', 8: 'Some green stools have worms.', 9: 'Inflammation causes symptoms.', 10: "Suicide is defined as taking one's own life."}
| 7 |
6,886 |
['The statement that states organized sports are games with many lessons in courage, stamina and teamwork is false.', 'It is a fact that either malignant tumors penetrate and destroy healthy body tissues or either either air pumps are a closed system or most tadpoles eat flake food or gliders have (part) power trains.', 'The claim that malignant tumors penetrate and destroy healthy body tissues does not reflect reality.', 'Provided that some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, we know that the claim that either most herbivores populate areas or some predators capture starfishs is false.', 'It is rational to believe that either doctors sometimes have to work long hours or women often have different privacy concerns than men.', "Whenever it is true that doctors sometimes have to work long hours, 'if gliders have (part) power trains, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights' is true.", 'When women often have different privacy concerns than men is true, it follows that if gliders have (part) power trains, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights.', 'We know that either if most people fear skydiving because they don t understand it, then some plants provide sanctuaries or xerostomia results from inadequate function of the salivary glands, such as the parotid glands.', 'On the condition that if most people fear skydiving because they don t understand it, then some plants provide sanctuaries, it is definitely the case that if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs.', 'On the condition that it is not true that if xerostomia results from inadequate function of the salivary glands, such as the parotid glands, then if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs, it is definitely the case that plants have individual leaves.', 'If it is not true that if xerostomia results from inadequate function of the salivary glands, such as the parotid glands, then if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs, then we know that the claim that plants have individual leaves is false.']
|
The statement that states organized sports are games with many lessons in courage, stamina and teamwork is false. It is a fact that either malignant tumors penetrate and destroy healthy body tissues or either either air pumps are a closed system or most tadpoles eat flake food or gliders have (part) power trains. The claim that malignant tumors penetrate and destroy healthy body tissues does not reflect reality. Provided that some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, we know that the claim that either most herbivores populate areas or some predators capture starfishs is false. It is rational to believe that either doctors sometimes have to work long hours or women often have different privacy concerns than men. Whenever it is true that doctors sometimes have to work long hours, 'if gliders have (part) power trains, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights' is true. When women often have different privacy concerns than men is true, it follows that if gliders have (part) power trains, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights. We know that either if most people fear skydiving because they don t understand it, then some plants provide sanctuaries or xerostomia results from inadequate function of the salivary glands, such as the parotid glands. On the condition that if most people fear skydiving because they don t understand it, then some plants provide sanctuaries, it is definitely the case that if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs. On the condition that it is not true that if xerostomia results from inadequate function of the salivary glands, such as the parotid glands, then if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs, it is definitely the case that plants have individual leaves. If it is not true that if xerostomia results from inadequate function of the salivary glands, such as the parotid glands, then if some people mistakenly believe that if either air pumps are a closed system or most tadpoles eat flake food, then either organized sports are games with many lessons in courage, stamina and teamwork or many people declare a fear of heights, then either most herbivores populate areas or some predators capture starfishs, then we know that the claim that plants have individual leaves is false.
|
many people declare a fear of heights.
|
Most people equate spirituality with sitting on a mountaintop being quiet and meditating.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (Either [1] or [0].). [SC2-2]
If [4], then (Either [1] or [0].). [SC3-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either (Either [2] or [3].) or [4].).
Not [7].
Therefore, Either (Either [2] or [3].) or [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].). [SC1-3]
If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Not (Either [5] or [6].).).
Therefore, If (Either [2] or [3].), then (Either [1] or [0].)..
[SC1-3]
Disjunction Elimination:
Either (If [10], then [11].) or [12].
If (If [10], then [11].), then (If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].).).
If [12], then (If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].).). [SC3-4]
Therefore, If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].)..
[SC3-4]
Reductio Ad Absurdum:
If (Not (If [12], then (If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].).).).), then [13].
If (Not (If [12], then (If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].).).).), then (Not [13].).
Therefore, If [12], then (If (Not (If (Either [2] or [3].), then (Either [1] or [0].).).), then (Either [5] or [6].).)..
[SC3-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If [4], then (Either [1] or [0].).).
If [9], then (If [4], then (Either [1] or [0].).).
Therefore, If [4], then (Either [1] or [0].)..
|
{0: 'Many people declare a fear of heights.', 1: 'Organized sports are games with many lessons in courage, stamina and teamwork.', 2: 'Air pumps are a closed system.', 3: 'Most tadpoles eat flake food.', 4: 'Gliders have (part) power trains.', 5: 'Most herbivores populate areas.', 6: 'Some predators capture starfishs.', 7: 'Malignant tumors penetrate and destroy healthy body tissues.', 8: 'Doctors sometimes have to work long hours.', 9: 'Women often have different privacy concerns than men.', 10: 'Most people fear skydiving because they don t understand it.', 11: 'Some plants provide sanctuaries.', 12: 'Xerostomia results from inadequate function of the salivary glands, such as the parotid glands.', 13: 'Plants have individual leaves.'}
| 7 |
6,144 |
['The claim that chemotherapeutic agents kill growing cells does not reflect reality.', "Once we know the statement that states if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then most imbalances are caused by candidas is false, we also know that the statement, clinical trials are studies that evaluate the effectiveness of new interventions, does not hold.", "Either some acid inhibits mineral absorption or if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then the statement 'most imbalances are caused by candidas' can be considered false.", 'The statement that states some acid inhibits mineral absorption is false.', "Whenever it is true that mice inhabit rocky areas, 'if some people mistakenly believe that if the statement that states if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then most imbalances are caused by candidas is false, then clinical trials are studies that evaluate the effectiveness of new interventions, then a condom is a contraceptive' is true.", 'We can assume that mice inhabit rocky areas.', 'We know that either hyperlinks are the functional core of the world wide web or either wallabies are mammals or trainers sometimes strike elephants with sharpened hooks, which can result in physical injury.', 'One may reasonably assume that if hyperlinks are the functional core of the world wide web, then the claim that a condom is a contraceptive does not correspond with reality.', 'Should it be the case that either wallabies are mammals or trainers sometimes strike elephants with sharpened hooks, which can result in physical injury, it follows that the claim that a condom is a contraceptive does not correspond with reality.']
|
The claim that chemotherapeutic agents kill growing cells does not reflect reality. Once we know the statement that states if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then most imbalances are caused by candidas is false, we also know that the statement, clinical trials are studies that evaluate the effectiveness of new interventions, does not hold. Either some acid inhibits mineral absorption or if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then the statement 'most imbalances are caused by candidas' can be considered false. The statement that states some acid inhibits mineral absorption is false. Whenever it is true that mice inhabit rocky areas, 'if some people mistakenly believe that if the statement that states if it is not true that if the statement that 'scientific experiments are a powerful procedure for investigating causal relations' is incorrect, then chemotherapeutic agents kill growing cells, then most imbalances are caused by candidas is false, then clinical trials are studies that evaluate the effectiveness of new interventions, then a condom is a contraceptive' is true. We can assume that mice inhabit rocky areas. We know that either hyperlinks are the functional core of the world wide web or either wallabies are mammals or trainers sometimes strike elephants with sharpened hooks, which can result in physical injury. One may reasonably assume that if hyperlinks are the functional core of the world wide web, then the claim that a condom is a contraceptive does not correspond with reality. Should it be the case that either wallabies are mammals or trainers sometimes strike elephants with sharpened hooks, which can result in physical injury, it follows that the claim that a condom is a contraceptive does not correspond with reality.
|
The claim that scientific experiments are a powerful procedure for investigating causal relations is true.
|
Scientific experiments have types.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then [2]. [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not [2].). [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4]. [SC1-3]
If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then (Not [4].).
Therefore, If (Not (If (Not [0].), then [1].).), then [2]..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4].).), then [5]. [SC1-4]
Not [5]. [SC2-4]
Therefore, If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4]..
[SC1-4]
Modus Ponens:
If [9], then (If (Not (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4].).), then [5].).
[9]
Therefore, If (Not (If (Not (If (Not (If (Not [0].), then [1].).), then [2].).), then [4].).), then [5]..
[SC2-4]
Disjunction Elimination:
Either [6] or (Either [7] or [8].).
If [6], then (Not [5].).
If (Either [7] or [8].), then (Not [5].).
Therefore, Not [5]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If (Not (If (Not [0].), then [1].).), then (Not [2].).).
Not [3].
Therefore, If (Not (If (Not [0].), then [1].).), then (Not [2].)..
|
{0: 'Scientific experiments are a powerful procedure for investigating causal relations.', 1: 'Chemotherapeutic agents kill growing cells.', 2: 'Most imbalances are caused by candidas.', 3: 'Some acid inhibits mineral absorption.', 4: 'Clinical trials are studies that evaluate the effectiveness of new interventions.', 5: 'A condom is a contraceptive.', 6: 'Hyperlinks are the functional core of the world wide web.', 7: 'Wallabies are mammals.', 8: 'Trainers sometimes strike elephants with sharpened hooks, which can result in physical injury.', 9: 'Mice inhabit rocky areas.'}
| 7 |
6,767 |
['Provided that hunger is a very real problem facing millions of adults and children in the United States every day, we know that dermatologists get together to talk about skin.', "Whenever it is true that sugar cane is grown in the lowlands and cattle are raised higher up, 'the claim that dermatologists get together to talk about skin does not reflect reality' is true.", 'It is not the case that abuse can be sexual, physical, verbal, or neglect.', "Should it be the case that divine love is self-giving love, it follows that the statement 'either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms' can be considered false.", 'At least one of two things is true: scientists learn areas, or if winter challenges wildlife with frigid temperatures and the cessation of plant growth, then liquids consist of water.', 'Once we know scientists learn areas, we also know that either abuse can be sexual, physical, verbal, or neglect or if the claim that if hunger is a very real problem facing millions of adults and children in the United States every day, then sugar cane is grown in the lowlands and cattle are raised higher up does not correspond with reality, then either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms.', "So long as if winter challenges wildlife with frigid temperatures and the cessation of plant growth, then liquids consist of water, 'either abuse can be sexual, physical, verbal, or neglect or if the claim that if hunger is a very real problem facing millions of adults and children in the United States every day, then sugar cane is grown in the lowlands and cattle are raised higher up does not correspond with reality, then either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms' is true.", 'If knives have (part) sections, then divine love is self-giving love.', 'The claim that knives have (part) sections is true.']
|
Provided that hunger is a very real problem facing millions of adults and children in the United States every day, we know that dermatologists get together to talk about skin. Whenever it is true that sugar cane is grown in the lowlands and cattle are raised higher up, 'the claim that dermatologists get together to talk about skin does not reflect reality' is true. It is not the case that abuse can be sexual, physical, verbal, or neglect. Should it be the case that divine love is self-giving love, it follows that the statement 'either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms' can be considered false. At least one of two things is true: scientists learn areas, or if winter challenges wildlife with frigid temperatures and the cessation of plant growth, then liquids consist of water. Once we know scientists learn areas, we also know that either abuse can be sexual, physical, verbal, or neglect or if the claim that if hunger is a very real problem facing millions of adults and children in the United States every day, then sugar cane is grown in the lowlands and cattle are raised higher up does not correspond with reality, then either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms. So long as if winter challenges wildlife with frigid temperatures and the cessation of plant growth, then liquids consist of water, 'either abuse can be sexual, physical, verbal, or neglect or if the claim that if hunger is a very real problem facing millions of adults and children in the United States every day, then sugar cane is grown in the lowlands and cattle are raised higher up does not correspond with reality, then either rattlesnakes have an exceptionally keen sense of smell or fish eat beneficial organisms' is true. If knives have (part) sections, then divine love is self-giving love. The claim that knives have (part) sections is true.
|
The claim that hunger is a very real problem facing millions of adults and children in the United States every day does not reflect reality.
|
It is reasonable to believe that hunger is a very real problem facing millions of adults and children in the United States every day.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then (Not [1].).
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Tonens:
If (Not (If [0], then [2].).), then (Either [3] or [4].). [SC1-3]
Not (Either [3] or [4].). [SC2-3]
Therefore, If [0], then [2]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not (If [0], then [2].).), then (Either [3] or [4].).). [SC1-4]
Not [6].
Therefore, If (Not (If [0], then [2].).), then (Either [3] or [4].)..
[SC1-4]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Either [6] or (If (Not (If [0], then [2].).), then (Either [3] or [4].).).).
If (If [8], then [9].), then (Either [6] or (If (Not (If [0], then [2].).), then (Either [3] or [4].).).).
Therefore, Either [6] or (If (Not (If [0], then [2].).), then (Either [3] or [4].).)..
[SC2-3]
Modus Ponens:
If [5], then (Not (Either [3] or [4].).).
[5] [SC2-4]
Therefore, Not (Either [3] or [4].)..
[SC2-4]
Modus Ponens:
If [10], then [5].
[10]
Therefore, [5].
|
{0: 'Hunger is a very real problem facing millions of adults and children in the United States every day.', 1: 'Dermatologists get together to talk about skin.', 2: 'Sugar cane is grown in the lowlands and cattle are raised higher up.', 3: 'Rattlesnakes have an exceptionally keen sense of smell .', 4: 'Fish eat beneficial organisms.', 5: 'Divine love is self-giving love.', 6: 'Abuse can be sexual, physical, verbal, or neglect.', 7: 'Scientists learn areas.', 8: 'Winter challenges wildlife with frigid temperatures and the cessation of plant growth.', 9: 'Liquids consist of water.', 10: 'Knives have (part) sections.'}
| 7 |
6,999 |
['We know that at least one of two things is true: if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, or education is given to the child right after the emergence of permanent second molars.', 'Provided that the claim that if if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, then residuals are the difference between the actual values and the predicted values has no merit, we know that type is a model for exhibited behavioral styles at a given time.', 'When the claim that if if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, then residuals are the difference between the actual values and the predicted values has no merit is true, it follows that the claim that type is a model for exhibited behavioral styles at a given time does not reflect reality.', 'If it is a common misconception that if the claim that if education is given to the child right after the emergence of permanent second molars, then residuals are the difference between the actual values and the predicted values has no merit, then crystalized intelligence is that which is learned, then some animals eat meat, some eat plants, and many eat both.', "The notion that 'diphthongs are digraphs' is untrue.", 'Assuming if chromosomes begin to uncoil and form chromatin, then periodontal diseases can affect one tooth or many teeth, we know that if it is a common misconception that if the claim that if education is given to the child right after the emergence of permanent second molars, then residuals are the difference between the actual values and the predicted values has no merit, then crystalized intelligence is that which is learned, then some people mistakenly believe that some animals eat meat, some eat plants, and many eat both.', 'Given that chromosomes begin to uncoil and form chromatin, it can be inferred that periodontal diseases can affect one tooth or many teeth.', 'Provided that crystalized intelligence is that which is learned, we know that comparison supports statements.', 'One may reasonably assume that if comparison supports statements, then diphthongs are digraphs.']
|
We know that at least one of two things is true: if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, or education is given to the child right after the emergence of permanent second molars. Provided that the claim that if if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, then residuals are the difference between the actual values and the predicted values has no merit, we know that type is a model for exhibited behavioral styles at a given time. When the claim that if if most animals survive arctic temperature, then mechanical instruments extend the hand, the breath, the ear, and the eye, then residuals are the difference between the actual values and the predicted values has no merit is true, it follows that the claim that type is a model for exhibited behavioral styles at a given time does not reflect reality. If it is a common misconception that if the claim that if education is given to the child right after the emergence of permanent second molars, then residuals are the difference between the actual values and the predicted values has no merit, then crystalized intelligence is that which is learned, then some animals eat meat, some eat plants, and many eat both. The notion that 'diphthongs are digraphs' is untrue. Assuming if chromosomes begin to uncoil and form chromatin, then periodontal diseases can affect one tooth or many teeth, we know that if it is a common misconception that if the claim that if education is given to the child right after the emergence of permanent second molars, then residuals are the difference between the actual values and the predicted values has no merit, then crystalized intelligence is that which is learned, then some people mistakenly believe that some animals eat meat, some eat plants, and many eat both. Given that chromosomes begin to uncoil and form chromatin, it can be inferred that periodontal diseases can affect one tooth or many teeth. Provided that crystalized intelligence is that which is learned, we know that comparison supports statements. One may reasonably assume that if comparison supports statements, then diphthongs are digraphs.
|
It is a simple truth that residuals are the difference between the actual values and the predicted values.
|
It is a simple truth that residuals are the difference between the actual values and the predicted values.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (If [1], then [2].), then [0].).), then [4].
If (Not (If (If [1], then [2].), then [0].).), then (Not [4].).
Therefore, If (If [1], then [2].), then [0]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then [0].).), then [5]. [SC1-2]
Not [5]. [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If [3], then [0].).), then [5].).), then [7].
If (Not (If (Not (If [3], then [0].).), then [5].).), then (Not [7].). [SC2-3]
Therefore, If (Not (If [3], then [0].).), then [5]..
[SC2-3]
Modus Ponens:
If (If [8], then [9].), then (If (Not (If (Not (If [3], then [0].).), then [5].).), then (Not [7].).).
If [8], then [9].
Therefore, If (Not (If (Not (If [3], then [0].).), then [5].).), then (Not [7].)..
[SC2-2]
Modus Tonens:
If [5], then [6]. [SC1-3]
Not [6].
Therefore, Not [5]..
[SC1-3]
Hypothetical Syllogism:
If [5], then [10].
If [10], then [6].
Therefore, If [5], then [6]..
|
{0: 'Residuals are the difference between the actual values and the predicted values.', 1: 'Most animals survive arctic temperature.', 2: 'Mechanical instruments extend the hand, the breath, the ear, and the eye.', 3: 'Education is given to the child right after the emergence of permanent second molars.', 4: 'Type is a model for exhibited behavioral styles at a given time.', 5: 'Crystalized intelligence is that which is learned.', 6: 'Diphthongs are digraphs.', 7: 'Some animals eat meat, some eat plants, and many eat both.', 8: 'Chromosomes begin to uncoil and form chromatin.', 9: 'Periodontal diseases can affect one tooth or many teeth.', 10: 'Comparison supports statements.'}
| 7 |
6,467 |
['The claim that either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false.', 'Those that suggest if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities are wrong.', 'It is fair to say that roots travel deeper into the soil to find water.', "We know that either braising is used mainly with meats that require longer cooking times in order to become tender or the statement that 'most countries spy for security purposes' is incorrect.", 'The claim that braising is used mainly with meats that require longer cooking times in order to become tender is false.', 'Should it be the case that natural color works with virtually any color scheme, it follows that if roots travel deeper into the soil to find water, then if the claim that if the statement that states if organized religion is a strange force in society, then either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false, then if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities does not reflect reality, then most countries spy for security purposes.', 'When most leeches have surfaces is true, it follows that if roots travel deeper into the soil to find water, then if the claim that if the statement that states if organized religion is a strange force in society, then either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false, then if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities does not reflect reality, then most countries spy for security purposes.', "So long as we know that the claim that either natural color works with virtually any color scheme or most leeches have surfaces is false, 'if books describe theories, then experts agree that canine Parvovirus is closely related to Parvoviruses that affect other animals' is true.", "The statement that 'if books describe theories, then experts agree that canine Parvovirus is closely related to Parvoviruses that affect other animals' is incorrect."]
|
The claim that either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false. Those that suggest if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities are wrong. It is fair to say that roots travel deeper into the soil to find water. We know that either braising is used mainly with meats that require longer cooking times in order to become tender or the statement that 'most countries spy for security purposes' is incorrect. The claim that braising is used mainly with meats that require longer cooking times in order to become tender is false. Should it be the case that natural color works with virtually any color scheme, it follows that if roots travel deeper into the soil to find water, then if the claim that if the statement that states if organized religion is a strange force in society, then either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false, then if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities does not reflect reality, then most countries spy for security purposes. When most leeches have surfaces is true, it follows that if roots travel deeper into the soil to find water, then if the claim that if the statement that states if organized religion is a strange force in society, then either most killer whales have diets or rattlesnakes usually return to the same den in successive years throughout their entire life is false, then if private charity can encourage sexual responsibility - even as material assistance is provided, then detoxification begins as the mud dries, absorbing toxins and impurities does not reflect reality, then most countries spy for security purposes. So long as we know that the claim that either natural color works with virtually any color scheme or most leeches have surfaces is false, 'if books describe theories, then experts agree that canine Parvovirus is closely related to Parvoviruses that affect other animals' is true. The statement that 'if books describe theories, then experts agree that canine Parvovirus is closely related to Parvoviruses that affect other animals' is incorrect.
|
The claim that organized religion is a strange force in society has no merit.
|
It is the case that organized religion is a strange force in society.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].). [SC1-2]
Not (If [3], then [4].).
Therefore, If [0], then (Either [1] or [2].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5]. [SC1-3]
Not [5]. [SC2-3]
Therefore, If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].)..
[SC1-3]
Modus Ponens:
If [6], then (If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5].). [SC1-4]
[6]
Therefore, If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5]..
[SC1-4]
Disjunction Elimination:
Either [8] or [9]. [SC1-5]
If [8], then (If [6], then (If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5].).).
If [9], then (If [6], then (If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5].).).
Therefore, If [6], then (If (Not (If (Not (If [0], then (Either [1] or [2].).).), then (If [3], then [4].).).), then [5].)..
[SC1-5]
Modus Tonens:
If (Not (Either [8] or [9].).), then (If [10], then [11].).
Not (If [10], then [11].).
Therefore, Either [8] or [9]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (Not [5].).
Not [7].
Therefore, Not [5]..
|
{0: 'Organized religion is a strange force in society.', 1: 'Most killer whales have diets.', 2: 'Rattlesnakes usually return to the same den in successive years throughout their entire life.', 3: 'Private charity can encourage sexual responsibility - even as material assistance is provided.', 4: 'Detoxification begins as the mud dries, absorbing toxins and impurities .', 5: 'Most countries spy for security purposes.', 6: 'Roots travel deeper into the soil to find water.', 7: 'Braising is used mainly with meats that require longer cooking times in order to become tender.', 8: 'Natural color works with virtually any color scheme.', 9: 'Most leeches have surfaces.', 10: 'Books describe theories.', 11: 'Experts agree that canine Parvovirus is closely related to Parvoviruses that affect other animals.'}
| 7 |
6,315 |
['At least one of two things is true: spider monkeys find food in the treetops and feast on nuts, fruits, leaves, bird eggs, and spiders, or hunger makes people more likely to splurge and overeat later.', 'Assuming spider monkeys find food in the treetops and feast on nuts, fruits, leaves, bird eggs, and spiders, we know that springtails eat algae, bacteria, decaying plant material, fungi and pollen.', 'Once we know springtails eat algae, bacteria, decaying plant material, fungi and pollen, we also know that either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters.', 'We know that at least one of two things is true: scientific investigators seek to understand natural phenomena by observation and experimentation, or some women choose diets.', "Whenever it is true that scientific investigators seek to understand natural phenomena by observation and experimentation, 'the statement, either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters, does not hold' is true.", "Assuming the statement that 'if different guilds have different streets on which they hawk their wares, then if some women choose diets, then the statement, either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters, does not hold' is incorrect, we know that if hair follicles have a growing and resting cycle, then most ancient philosophers develop concepts.", 'Some people mistakenly believe that if hair follicles have a growing and resting cycle, then most ancient philosophers develop concepts.', 'It is a fact that either vitamins are close to being worthless without the minerals or owl eggs can be round as golf balls.', 'Should it be the case that vitamins are close to being worthless without the minerals, it follows that different guilds have different streets on which they hawk their wares.', 'Provided that owl eggs can be round as golf balls, we know that different guilds have different streets on which they hawk their wares.']
|
At least one of two things is true: spider monkeys find food in the treetops and feast on nuts, fruits, leaves, bird eggs, and spiders, or hunger makes people more likely to splurge and overeat later. Assuming spider monkeys find food in the treetops and feast on nuts, fruits, leaves, bird eggs, and spiders, we know that springtails eat algae, bacteria, decaying plant material, fungi and pollen. Once we know springtails eat algae, bacteria, decaying plant material, fungi and pollen, we also know that either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters. We know that at least one of two things is true: scientific investigators seek to understand natural phenomena by observation and experimentation, or some women choose diets. Whenever it is true that scientific investigators seek to understand natural phenomena by observation and experimentation, 'the statement, either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters, does not hold' is true. Assuming the statement that 'if different guilds have different streets on which they hawk their wares, then if some women choose diets, then the statement, either fungi occupy a wide variety of both aquatic and terrestrial habitats or some people still live in bomb shelters, does not hold' is incorrect, we know that if hair follicles have a growing and resting cycle, then most ancient philosophers develop concepts. Some people mistakenly believe that if hair follicles have a growing and resting cycle, then most ancient philosophers develop concepts. It is a fact that either vitamins are close to being worthless without the minerals or owl eggs can be round as golf balls. Should it be the case that vitamins are close to being worthless without the minerals, it follows that different guilds have different streets on which they hawk their wares. Provided that owl eggs can be round as golf balls, we know that different guilds have different streets on which they hawk their wares.
|
It is rational to agree that hunger makes people more likely to splurge and overeat later.
|
Hunger kills people's incentive, sapping their strength, both physically and emotionally.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If [2], then (Either [3] or [4].).
Not (Either [3] or [4].). [SC2-3]
Therefore, Not [2]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not (Either [3] or [4].).).
If [6], then (Not (Either [3] or [4].).). [SC3-4]
Therefore, Not (Either [3] or [4].)..
[SC3-4]
Modus Ponens:
If [7], then (If [6], then (Not (Either [3] or [4].).).). [SC1-5]
[7] [SC2-5]
Therefore, If [6], then (Not (Either [3] or [4].).)..
[SC1-5]
Modus Tonens:
If (Not (If [7], then (If [6], then (Not (Either [3] or [4].).).).).), then (If [8], then [9].).
Not (If [8], then [9].).
Therefore, If [7], then (If [6], then (Not (Either [3] or [4].).).)..
[SC2-5]
Disjunction Elimination:
Either [10] or [11].
If [10], then [7].
If [11], then [7].
Therefore, [7].
|
{0: 'Hunger makes people more likely to splurge and overeat later.', 1: 'Spider monkeys find food in the treetops and feast on nuts, fruits, leaves, bird eggs, and spiders.', 2: 'Springtails eat algae, bacteria, decaying plant material, fungi and pollen.', 3: 'Fungi occupy a wide variety of both aquatic and terrestrial habitats.', 4: 'Some people still live in bomb shelters.', 5: 'Scientific investigators seek to understand natural phenomena by observation and experimentation.', 6: 'Some women choose diets.', 7: 'Different guilds have different streets on which they hawk their wares.', 8: 'Hair follicles have a growing and resting cycle.', 9: 'Most ancient philosophers develop concepts.', 10: 'Vitamins are close to being worthless without the minerals.', 11: 'Owl eggs can be round as golf balls.'}
| 7 |
6,989 |
['We know that the claim that either life insurance is insurance on human lives or cup isa container is false.', 'Once we know water is a most precious commodity, we also know that either life insurance is insurance on human lives or cup isa container.', 'On the condition that some disinfectants can clog and gum-up spray nozzles if added to the water used in humidifiers, it is definitely the case that if bacteria are both useful and harmful to humans, then carbon dioxide has significant impact.', 'It is a fact that either organisms are always in competition against other organisms of their own kind as well as predators or if if bacteria are both useful and harmful to humans, then carbon dioxide has significant impact, then water is a most precious commodity.', 'Either one or both of these statements are true: if anoas have (part) faces, then embryos develop into embryos, or if some people mistakenly believe that magnesium helps transport phosphate in the plant and is essential in chlorophyll, then some disinfectants can clog and gum-up spray nozzles if added to the water used in humidifiers.', 'It is a common misconception that if anoas have (part) faces, then embryos develop into embryos.', "Either one or both of these statements are true: most clay minerals give off an 'earthy' smell when wet, or cannibals exist within the Plankton lifestyle.", "Whenever it is true that most clay minerals give off an 'earthy' smell when wet, 'the notion that 'organisms are always in competition against other organisms of their own kind as well as predators' is untrue' is true.", "Assuming cannibals exist within the Plankton lifestyle, we know that the notion that 'organisms are always in competition against other organisms of their own kind as well as predators' is untrue."]
|
We know that the claim that either life insurance is insurance on human lives or cup isa container is false. Once we know water is a most precious commodity, we also know that either life insurance is insurance on human lives or cup isa container. On the condition that some disinfectants can clog and gum-up spray nozzles if added to the water used in humidifiers, it is definitely the case that if bacteria are both useful and harmful to humans, then carbon dioxide has significant impact. It is a fact that either organisms are always in competition against other organisms of their own kind as well as predators or if if bacteria are both useful and harmful to humans, then carbon dioxide has significant impact, then water is a most precious commodity. Either one or both of these statements are true: if anoas have (part) faces, then embryos develop into embryos, or if some people mistakenly believe that magnesium helps transport phosphate in the plant and is essential in chlorophyll, then some disinfectants can clog and gum-up spray nozzles if added to the water used in humidifiers. It is a common misconception that if anoas have (part) faces, then embryos develop into embryos. Either one or both of these statements are true: most clay minerals give off an 'earthy' smell when wet, or cannibals exist within the Plankton lifestyle. Whenever it is true that most clay minerals give off an 'earthy' smell when wet, 'the notion that 'organisms are always in competition against other organisms of their own kind as well as predators' is untrue' is true. Assuming cannibals exist within the Plankton lifestyle, we know that the notion that 'organisms are always in competition against other organisms of their own kind as well as predators' is untrue.
|
The statement that states magnesium helps transport phosphate in the plant and is essential in chlorophyll is right.
|
Magnesium enhances function of postischaemic human myocardial tissue.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [3]. [SC1-2]
If [3], then (Either [1] or [2].).
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then (If [4], then [5].). [SC1-3]
If (If [4], then [5].), then [3]. [SC2-3]
Therefore, If (Not [0].), then [3]..
[SC1-3]
Hypothetical Syllogism:
If (Not [0].), then [6]. [SC1-4]
If [6], then (If [4], then [5].).
Therefore, If (Not [0].), then (If [4], then [5].)..
[SC1-4]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If (Not [0].), then [6].).
Not (If [8], then [9].).
Therefore, If (Not [0].), then [6]..
[SC2-3]
Disjunctive Syllogism:
Either [7] or (If (If [4], then [5].), then [3].).
Not [7]. [SC2-4]
Therefore, If (If [4], then [5].), then [3]..
[SC2-4]
Disjunction Elimination:
Either [10] or [11].
If [10], then (Not [7].).
If [11], then (Not [7].).
Therefore, Not [7]..
|
{0: 'Magnesium helps transport phosphate in the plant and is essential in chlorophyll.', 1: 'Life insurance is insurance on human lives.', 2: 'Cup isa container.', 3: 'Water is a most precious commodity.', 4: 'Bacteria are both useful and harmful to humans.', 5: 'Carbon dioxide has significant impact.', 6: 'Some disinfectants can clog and gum-up spray nozzles if added to the water used in humidifiers.', 7: 'Organisms are always in competition against other organisms of their own kind as well as predators.', 8: 'Anoas have (part) faces.', 9: 'Embryos develop into embryos.', 10: "Most clay minerals give off an 'earthy' smell when wet.", 11: 'Cannibals exist within the Plankton lifestyle.'}
| 7 |
6,922 |
['If we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then it is not true that some ligands can donate a variable number of electrons.', 'Assuming motion control comes from the ability of the shoe to guide the foot as it falls, we know that nematodes are microscopic worms that kill flea larvae and cocoons.', 'We can assume that motion control comes from the ability of the shoe to guide the foot as it falls.', "The statement that 'humans continually try to link cancer with nutrition' is incorrect.", "Whenever it is true that if national culture is the speech of the people, then evidence based medicine has the potential to revolutionise many aspects of health education, 'if the statement 'if some people mistakenly believe that if we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then some ligands can donate a variable number of electrons, then humans continually try to link cancer with nutrition' can be considered false, then aftershocks differentiate earthquakes from other natural disasters' is true.", 'When national culture is the speech of the people is true, it follows that evidence based medicine has the potential to revolutionise many aspects of health education.', "Given that the statement that 'if the statement 'if some people mistakenly believe that if we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then some ligands can donate a variable number of electrons, then humans continually try to link cancer with nutrition' can be considered false, then some people mistakenly believe that aftershocks differentiate earthquakes from other natural disasters' is incorrect, it can be inferred that speech impairments range from articulation or voice difficulties to being totally non-vocal.", "The statement that 'speech impairments range from articulation or voice difficulties to being totally non-vocal' is incorrect."]
|
If we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then it is not true that some ligands can donate a variable number of electrons. Assuming motion control comes from the ability of the shoe to guide the foot as it falls, we know that nematodes are microscopic worms that kill flea larvae and cocoons. We can assume that motion control comes from the ability of the shoe to guide the foot as it falls. The statement that 'humans continually try to link cancer with nutrition' is incorrect. Whenever it is true that if national culture is the speech of the people, then evidence based medicine has the potential to revolutionise many aspects of health education, 'if the statement 'if some people mistakenly believe that if we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then some ligands can donate a variable number of electrons, then humans continually try to link cancer with nutrition' can be considered false, then aftershocks differentiate earthquakes from other natural disasters' is true. When national culture is the speech of the people is true, it follows that evidence based medicine has the potential to revolutionise many aspects of health education. Given that the statement that 'if the statement 'if some people mistakenly believe that if we know that the claim that if nematodes are microscopic worms that kill flea larvae and cocoons, then either borders are located in quilts or pelicans emerge from nests is false, then some ligands can donate a variable number of electrons, then humans continually try to link cancer with nutrition' can be considered false, then some people mistakenly believe that aftershocks differentiate earthquakes from other natural disasters' is incorrect, it can be inferred that speech impairments range from articulation or voice difficulties to being totally non-vocal. The statement that 'speech impairments range from articulation or voice difficulties to being totally non-vocal' is incorrect.
|
At least one of two things is true: borders are located in quilts, or pelicans emerge from nests.
|
It is not the case that either borders are located in quilts or pelicans emerge from nests.
|
FALSE
|
Modus Ponens:
If [2], then (Either [0] or [1].). [SC1-1]
[2] [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Either [0] or [1].).).), then [4]. [SC1-2]
If (Not (If [2], then (Either [0] or [1].).).), then (Not [4].).
Therefore, If [2], then (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5]. [SC1-3]
Not [5].
Therefore, If (Not (If [2], then (Either [0] or [1].).).), then [4]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then [6]. [SC1-4]
If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then (Not [6].). [SC2-4]
Therefore, If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5]..
[SC1-4]
Modus Ponens:
If (If [8], then [9].), then (If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then [6].).
If [8], then [9].
Therefore, If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then [6]..
[SC2-4]
Modus Tonens:
If (Not (If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then (Not [6].).).), then [7].
Not [7].
Therefore, If (Not (If (Not (If (Not (If [2], then (Either [0] or [1].).).), then [4].).), then [5].).), then (Not [6].)..
[SC2-1]
Modus Ponens:
If [3], then [2].
[3]
Therefore, [2].
|
{0: 'Borders are located in quilts.', 1: 'Pelicans emerge from nests.', 2: 'Nematodes are microscopic worms that kill flea larvae and cocoons.', 3: 'Motion control comes from the ability of the shoe to guide the foot as it falls.', 4: 'Some ligands can donate a variable number of electrons.', 5: 'Humans continually try to link cancer with nutrition.', 6: 'Aftershocks differentiate earthquakes from other natural disasters.', 7: 'Speech impairments range from articulation or voice difficulties to being totally non-vocal.', 8: 'National culture is the speech of the people.', 9: 'Evidence based medicine has the potential to revolutionise many aspects of health education.'}
| 7 |
6,717 |
['We know that either shrews are found all over the world or snakes maintain their body temperatures by moving to warmer or cooler areas depending on weather.', 'Given that shrews are found all over the world, it can be inferred that either some conifers are completely deciduous or some plants attract gulls.', "Whenever it is true that snakes maintain their body temperatures by moving to warmer or cooler areas depending on weather, 'either some conifers are completely deciduous or some plants attract gulls' is true.", 'It is rational to believe that either supernaturalism is a belief or if some conifers are completely deciduous , then silicon wafers make good frisbees.', "The notion that 'supernaturalism is a belief' is untrue.", 'Either one or both of these statements are true: some fields surround clouds, or if some plants attract gulls, then silicon wafers make good frisbees.', 'Once we know some fields surround clouds, we also know that the statement that states some tract infection causes female infertility is false.', 'When events occur in development is true, it follows that if some fields surround clouds, then some tract infection causes female infertility.', 'If either issues become concern or a sadhu is a religious person, then if some fields surround clouds, then some tract infection causes female infertility.', 'It is rational to believe that either parakeets are social and prefer to live in pairs or groups or either events occur in development or either issues become concern or a sadhu is a religious person.', 'It is not the case that parakeets are social and prefer to live in pairs or groups.']
|
We know that either shrews are found all over the world or snakes maintain their body temperatures by moving to warmer or cooler areas depending on weather. Given that shrews are found all over the world, it can be inferred that either some conifers are completely deciduous or some plants attract gulls. Whenever it is true that snakes maintain their body temperatures by moving to warmer or cooler areas depending on weather, 'either some conifers are completely deciduous or some plants attract gulls' is true. It is rational to believe that either supernaturalism is a belief or if some conifers are completely deciduous , then silicon wafers make good frisbees. The notion that 'supernaturalism is a belief' is untrue. Either one or both of these statements are true: some fields surround clouds, or if some plants attract gulls, then silicon wafers make good frisbees. Once we know some fields surround clouds, we also know that the statement that states some tract infection causes female infertility is false. When events occur in development is true, it follows that if some fields surround clouds, then some tract infection causes female infertility. If either issues become concern or a sadhu is a religious person, then if some fields surround clouds, then some tract infection causes female infertility. It is rational to believe that either parakeets are social and prefer to live in pairs or groups or either events occur in development or either issues become concern or a sadhu is a religious person. It is not the case that parakeets are social and prefer to live in pairs or groups.
|
It is fair to say that silicon wafers make good frisbees.
|
Silicon wafers make the paintings glow and shimmer.
|
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]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [1] or [2].).
If [6], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3].
Therefore, If [1], then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [2], then [0].).
Not [4]. [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If [4], then [7]. [SC1-3]
If [4], then (Not [7].).
Therefore, Not [4]..
[SC1-3]
Disjunction Elimination:
Either [8] or (Either [9] or [10].). [SC1-4]
If [8], then (If [4], then [7].).
If (Either [9] or [10].), then (If [4], then [7].).
Therefore, If [4], then [7]..
[SC1-4]
Disjunctive Syllogism:
Either [11] or (Either [8] or (Either [9] or [10].).).
Not [11].
Therefore, Either [8] or (Either [9] or [10].)..
|
{0: 'Silicon wafers make good frisbees.', 1: 'Some conifers are completely deciduous .', 2: 'Some plants attract gulls.', 3: 'Supernaturalism is a belief.', 4: 'Some fields surround clouds.', 5: 'Shrews are found all over the world.', 6: 'Snakes maintain their body temperatures by moving to warmer or cooler areas depending on weather.', 7: 'Some tract infection causes female infertility.', 8: 'Events occur in development.', 9: 'Issues become concern.', 10: 'A sadhu is a religious person.', 11: 'Parakeets are social and prefer to live in pairs or groups.'}
| 7 |
6,458 |
['Either sexual reproduction is an ancient evolutionary tool or human wickedness is at the root of the evil.', 'Assuming sexual reproduction is an ancient evolutionary tool, we know that if arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq, then debt causes undue stress which can escalate into many physical as well as mental health problems.', 'It is not the case that tree is medium to vigorous, spreading, annual cropping.', "So long as compacted soils have fewer and smaller roots, 'if human wickedness is at the root of the evil, then if arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq, then debt causes undue stress which can escalate into many physical as well as mental health problems' is true.", 'Should it be the case that the claim that arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq does not correspond with reality, it follows that epiphytes utilize metabolism.', "Whenever it is true that epiphytes utilize metabolism, 'tree is medium to vigorous, spreading, annual cropping' is true.", 'It is true that luminous flux is flux.', 'We know that either if most people can think more clearly during the day, then lynx have short tails, long whiskers and characteristic tufts of black hair on the tip of the ears or if luminous flux is flux, then compacted soils have fewer and smaller roots.', 'The statement that states if most people can think more clearly during the day, then lynx have short tails, long whiskers and characteristic tufts of black hair on the tip of the ears is false.']
|
Either sexual reproduction is an ancient evolutionary tool or human wickedness is at the root of the evil. Assuming sexual reproduction is an ancient evolutionary tool, we know that if arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq, then debt causes undue stress which can escalate into many physical as well as mental health problems. It is not the case that tree is medium to vigorous, spreading, annual cropping. So long as compacted soils have fewer and smaller roots, 'if human wickedness is at the root of the evil, then if arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq, then debt causes undue stress which can escalate into many physical as well as mental health problems' is true. Should it be the case that the claim that arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq does not correspond with reality, it follows that epiphytes utilize metabolism. Whenever it is true that epiphytes utilize metabolism, 'tree is medium to vigorous, spreading, annual cropping' is true. It is true that luminous flux is flux. We know that either if most people can think more clearly during the day, then lynx have short tails, long whiskers and characteristic tufts of black hair on the tip of the ears or if luminous flux is flux, then compacted soils have fewer and smaller roots. The statement that states if most people can think more clearly during the day, then lynx have short tails, long whiskers and characteristic tufts of black hair on the tip of the ears is false.
|
The statement 'debt causes undue stress which can escalate into many physical as well as mental health problems' is true.
|
It is not the case that debt causes undue stress which can escalate into many physical as well as mental health problems.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If [1], then [0].).
If [3], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC3-2]
Modus Ponens:
If [5], then (If [3], then (If [1], then [0].).).
[5] [SC2-3]
Therefore, If [3], then (If [1], then [0].)..
[SC2-3]
Modus Ponens:
If [7], then [5]. [SC1-4]
[7]
Therefore, [5].
[SC1-4]
Disjunctive Syllogism:
Either (If [8], then [9].) or (If [7], then [5].).
Not (If [8], then [9].).
Therefore, If [7], then [5]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [4]. [SC1-2]
Not [4].
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [6].
If [6], then [4].
Therefore, If (Not [1].), then [4]..
|
{0: 'Debt causes undue stress which can escalate into many physical as well as mental health problems.', 1: 'Arabic custom is to pour a small amount of olive oil over top as well as a sprinkling of simmaq.', 2: 'Sexual reproduction is an ancient evolutionary tool.', 3: 'Human wickedness is at the root of the evil.', 4: 'Tree is medium to vigorous, spreading, annual cropping.', 5: 'Compacted soils have fewer and smaller roots.', 6: 'Epiphytes utilize metabolism.', 7: 'Luminous flux is flux.', 8: 'Most people can think more clearly during the day.', 9: 'Lynx have short tails, long whiskers and characteristic tufts of black hair on the tip of the ears.'}
| 7 |
6,773 |
['We know that at least one of two things is true: territorial groups consist of one supermale or terminal male and one to three females, or if malnutrition is a general term that indicates a lack of some or all-nutritional elements, then a stacker is a laborer.', 'Should it be the case that territorial groups consist of one supermale or terminal male and one to three females, it follows that most tenrecs have poor eyesights.', 'Once we know if malnutrition is a general term that indicates a lack of some or all-nutritional elements, then a stacker is a laborer, we also know that italic words refer to program names and variables.', 'Either one or both of these statements are true: either dalmatians also have a tendency toward deafness or dragonflies specialize in different kinds of hunting techniques, or percentiles are a way of comparing infants of the same age.', "So long as either dalmatians also have a tendency toward deafness or dragonflies specialize in different kinds of hunting techniques, 'if most tenrecs have poor eyesights, then mothers provide solid food' is true.", 'Once we know percentiles are a way of comparing infants of the same age, we also know that if most tenrecs have poor eyesights, then mothers provide solid food.', 'The claim that traditional medicine is a holistic treatment that seeks to heal the body, mind and soul holds true.', 'When traditional medicine is a holistic treatment that seeks to heal the body, mind and soul is true, it follows that copper is alloyed with other metals to give it special properties.', 'It is rational to believe that either orphanages are expensive and remove children from their own environment or writing is a skill that has to be practiced.', 'Once we know orphanages are expensive and remove children from their own environment, we also know that if copper is alloyed with other metals to give it special properties, then if italic words refer to program names and variables, then secularism ridicules belief and commitment.', 'Provided that writing is a skill that has to be practiced, we know that either seat belts can save lives and prevent injuries if they are designed correctly or eosinophils are a type of white blood cell that increases in number during an allergic reaction.', "Whenever it is true that either seat belts can save lives and prevent injuries if they are designed correctly or eosinophils are a type of white blood cell that increases in number during an allergic reaction, 'if copper is alloyed with other metals to give it special properties, then if italic words refer to program names and variables, then secularism ridicules belief and commitment' is true."]
|
We know that at least one of two things is true: territorial groups consist of one supermale or terminal male and one to three females, or if malnutrition is a general term that indicates a lack of some or all-nutritional elements, then a stacker is a laborer. Should it be the case that territorial groups consist of one supermale or terminal male and one to three females, it follows that most tenrecs have poor eyesights. Once we know if malnutrition is a general term that indicates a lack of some or all-nutritional elements, then a stacker is a laborer, we also know that italic words refer to program names and variables. Either one or both of these statements are true: either dalmatians also have a tendency toward deafness or dragonflies specialize in different kinds of hunting techniques, or percentiles are a way of comparing infants of the same age. So long as either dalmatians also have a tendency toward deafness or dragonflies specialize in different kinds of hunting techniques, 'if most tenrecs have poor eyesights, then mothers provide solid food' is true. Once we know percentiles are a way of comparing infants of the same age, we also know that if most tenrecs have poor eyesights, then mothers provide solid food. The claim that traditional medicine is a holistic treatment that seeks to heal the body, mind and soul holds true. When traditional medicine is a holistic treatment that seeks to heal the body, mind and soul is true, it follows that copper is alloyed with other metals to give it special properties. It is rational to believe that either orphanages are expensive and remove children from their own environment or writing is a skill that has to be practiced. Once we know orphanages are expensive and remove children from their own environment, we also know that if copper is alloyed with other metals to give it special properties, then if italic words refer to program names and variables, then secularism ridicules belief and commitment. Provided that writing is a skill that has to be practiced, we know that either seat belts can save lives and prevent injuries if they are designed correctly or eosinophils are a type of white blood cell that increases in number during an allergic reaction. Whenever it is true that either seat belts can save lives and prevent injuries if they are designed correctly or eosinophils are a type of white blood cell that increases in number during an allergic reaction, 'if copper is alloyed with other metals to give it special properties, then if italic words refer to program names and variables, then secularism ridicules belief and commitment' is true.
|
We know that at least one of two things is true: mothers provide solid food, or secularism ridicules belief and commitment.
|
We know that at least one of two things is true: mothers provide solid food, or secularism ridicules belief and commitment.
|
TRUE
|
Constructive Dilemma:
Either [2] or [3]. [SC1-1]
If [2], then [0]. [SC2-1]
If [3], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [8] or (If [9], then [10].).
If [8], then [2].
If (If [9], then [10].), then [3].
Therefore, Either [2] or [3]..
[SC2-1]
Disjunction Elimination:
Either (Either [4] or [5].) or [6].
If (Either [4] or [5].), then (If [2], then [0].).
If [6], then (If [2], then [0].).
Therefore, If [2], then [0]..
[SC3-1]
Modus Ponens:
If [7], then (If [3], then [1].). [SC1-2]
[7]
Therefore, If [3], then [1]..
[SC1-2]
Hypothetical Syllogism:
If [7], then [11].
If [11], then (If [3], then [1].). [SC2-3]
Therefore, If [7], then (If [3], then [1].)..
[SC2-3]
Disjunction Elimination:
Either [12] or [13].
If [12], then (If [11], then (If [3], then [1].).).
If [13], then (If [11], then (If [3], then [1].).). [SC3-4]
Therefore, If [11], then (If [3], then [1].)..
[SC3-4]
Hypothetical Syllogism:
If [13], then (Either [14] or [15].).
If (Either [14] or [15].), then (If [11], then (If [3], then [1].).).
Therefore, If [13], then (If [11], then (If [3], then [1].).)..
|
{0: 'Mothers provide solid food.', 1: 'Secularism ridicules belief and commitment.', 2: 'Most tenrecs have poor eyesights.', 3: 'Italic words refer to program names and variables.', 4: 'Dalmatians also have a tendency toward deafness.', 5: 'Dragonflies specialize in different kinds of hunting techniques.', 6: 'Percentiles are a way of comparing infants of the same age.', 7: 'Traditional medicine is a holistic treatment that seeks to heal the body, mind and soul.', 8: 'Territorial groups consist of one supermale or terminal male and one to three females.', 9: 'Malnutrition is a general term that indicates a lack of some or all-nutritional elements.', 10: 'A stacker is a laborer.', 11: 'Copper is alloyed with other metals to give it special properties.', 12: 'Orphanages are expensive and remove children from their own environment.', 13: 'Writing is a skill that has to be practiced.', 14: 'Seat belts can save lives and prevent injuries if they are designed correctly.', 15: 'Eosinophils are a type of white blood cell that increases in number during an allergic reaction.'}
| 7 |
6,204 |
['It is a fact that either corn snakes swallow small prey or crop rotation is useful in increasing soil fertility, though inputs are often required.', 'If it is a common misconception that if corn snakes swallow small prey, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, then recent research suggests that certain bacteria are beneficial and necessary for health.', 'Given that it is a common misconception that if corn snakes swallow small prey, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, it can be inferred that it is a common misconception that recent research suggests that certain bacteria are beneficial and necessary for health.', 'If it is a common misconception that if crop rotation is useful in increasing soil fertility, though inputs are often required, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, then palm trees have growth.', 'Those that suggest palm trees have growth are wrong.', 'It is rational to believe that either coyotes give birth to offspring or natural toxins produced by moulds can be highly lethal.', 'Should it be the case that coyotes give birth to offspring, it follows that if the statement, contemporary government plays a large role in the economy, does not hold, then vaginal discharge includes substances.', "So long as natural toxins produced by moulds can be highly lethal, 'if the statement, contemporary government plays a large role in the economy, does not hold, then vaginal discharge includes substances' is true.", "Whenever it is true that the claim that if vaginal discharge includes substances, then the statement that 'whiskey is located in liquor stores' is incorrect has no merit, 'most family physicians work in private offices, hospitals, and clinics' is true.", "Once we know the claim that if vaginal discharge includes substances, then the statement that 'whiskey is located in liquor stores' is incorrect has no merit, we also know that the notion that 'most family physicians work in private offices, hospitals, and clinics' is untrue."]
|
It is a fact that either corn snakes swallow small prey or crop rotation is useful in increasing soil fertility, though inputs are often required. If it is a common misconception that if corn snakes swallow small prey, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, then recent research suggests that certain bacteria are beneficial and necessary for health. Given that it is a common misconception that if corn snakes swallow small prey, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, it can be inferred that it is a common misconception that recent research suggests that certain bacteria are beneficial and necessary for health. If it is a common misconception that if crop rotation is useful in increasing soil fertility, though inputs are often required, then if the statement, contemporary government plays a large role in the economy, does not hold, then whiskey is located in liquor stores, then palm trees have growth. Those that suggest palm trees have growth are wrong. It is rational to believe that either coyotes give birth to offspring or natural toxins produced by moulds can be highly lethal. Should it be the case that coyotes give birth to offspring, it follows that if the statement, contemporary government plays a large role in the economy, does not hold, then vaginal discharge includes substances. So long as natural toxins produced by moulds can be highly lethal, 'if the statement, contemporary government plays a large role in the economy, does not hold, then vaginal discharge includes substances' is true. Whenever it is true that the claim that if vaginal discharge includes substances, then the statement that 'whiskey is located in liquor stores' is incorrect has no merit, 'most family physicians work in private offices, hospitals, and clinics' is true. Once we know the claim that if vaginal discharge includes substances, then the statement that 'whiskey is located in liquor stores' is incorrect has no merit, we also know that the notion that 'most family physicians work in private offices, hospitals, and clinics' is untrue.
|
It is fair to say that contemporary government plays a large role in the economy.
|
The statement that states contemporary government plays a large role in the economy 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]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then [1].). [SC2-2]
If [4], then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If (Not [0].), then [1].).).), then [9].
If (Not (If [3], then (If (Not [0].), then [1].).).), then (Not [9].).
Therefore, If [3], then (If (Not [0].), then [1].)..
[SC3-2]
Modus Tonens:
If (Not (If [4], then (If (Not [0].), then [1].).).), then [7].
Not [7].
Therefore, If [4], then (If (Not [0].), then [1].)..
[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 [5] or [6].
If [5], then (If (Not [0].), then [2].).
If [6], then (If (Not [0].), then [2].).
Therefore, If (Not [0].), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [1].).).), then [8].
If (Not (If [2], then (Not [1].).).), then (Not [8].).
Therefore, If [2], then (Not [1].)..
|
{0: 'Contemporary government plays a large role in the economy.', 1: 'Whiskey is located in liquor stores.', 2: 'Vaginal discharge includes substances.', 3: 'Corn snakes swallow small prey.', 4: 'Crop rotation is useful in increasing soil fertility, though inputs are often required.', 5: 'Coyotes give birth to offspring.', 6: 'Natural toxins produced by moulds can be highly lethal.', 7: 'Palm trees have growth.', 8: 'Most family physicians work in private offices, hospitals, and clinics.', 9: 'Recent research suggests that certain bacteria are beneficial and necessary for health.'}
| 7 |
6,834 |
["Provided that the claim that if the statement 'exothermic reactions liberate energy' can be considered false, then if a candy bar is candy, then nutrition is essential to health does not correspond with reality, we know that genes naturally combine into random patterns.", 'We know that at least one of two things is true: roundworms are nonsegmented worms that include many common parasites, or either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean.', 'Given that roundworms are nonsegmented worms that include many common parasites, it can be inferred that the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality.', 'Either one or both of these statements are true: some jobs also call for odd hours of work, such as truck driving, or the claim that genes naturally combine into random patterns does not correspond with reality.', 'The claim that some jobs also call for odd hours of work, such as truck driving is false.', 'The idea that genetic distance is expressed as a value between pair of populations is true.', "Whenever it is true that the claim that if genetic distance is expressed as a value between pair of populations, then if either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean, then the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality has no merit, 'it is not the case that sleep apnea is a problem that needs proper evaluation and treatment' is true.", 'When the claim that if genetic distance is expressed as a value between pair of populations, then if either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean, then the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality has no merit is true, it follows that fleas are located in cheap hotels.', 'One may reasonably assume that if fleas are located in cheap hotels, then sleep apnea is a problem that needs proper evaluation and treatment.']
|
Provided that the claim that if the statement 'exothermic reactions liberate energy' can be considered false, then if a candy bar is candy, then nutrition is essential to health does not correspond with reality, we know that genes naturally combine into random patterns. We know that at least one of two things is true: roundworms are nonsegmented worms that include many common parasites, or either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean. Given that roundworms are nonsegmented worms that include many common parasites, it can be inferred that the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality. Either one or both of these statements are true: some jobs also call for odd hours of work, such as truck driving, or the claim that genes naturally combine into random patterns does not correspond with reality. The claim that some jobs also call for odd hours of work, such as truck driving is false. The idea that genetic distance is expressed as a value between pair of populations is true. Whenever it is true that the claim that if genetic distance is expressed as a value between pair of populations, then if either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean, then the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality has no merit, 'it is not the case that sleep apnea is a problem that needs proper evaluation and treatment' is true. When the claim that if genetic distance is expressed as a value between pair of populations, then if either anecdotal evidence suggests that yawning helps increase the state of alertness or cold water Requires a cold water detergent to get clothes clean, then the claim that if a candy bar is candy, then nutrition is essential to health does not correspond with reality has no merit is true, it follows that fleas are located in cheap hotels. One may reasonably assume that if fleas are located in cheap hotels, then sleep apnea is a problem that needs proper evaluation and treatment.
|
The statement 'exothermic reactions liberate energy' is true.
|
Exothermic reactions give out heat.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [8] or (Not [3].).
Not [8].
Therefore, Not [3]..
[SC2-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (Not (If [1], then [2].).).
If (Either [5] or [6].), then (Not (If [1], then [2].).). [SC3-2]
Therefore, Not (If [1], then [2].)..
[SC3-2]
Modus Ponens:
If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).). [SC1-3]
[7]
Therefore, If (Either [5] or [6].), then (Not (If [1], then [2].).)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).).).), then [9]. [SC1-4]
If (Not (If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).).).), then (Not [9].).
Therefore, If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).)..
[SC1-4]
Hypothetical Syllogism:
If (Not (If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).).).), then [10].
If [10], then [9].
Therefore, If (Not (If [7], then (If (Either [5] or [6].), then (Not (If [1], then [2].).).).).), then [9]..
|
{0: 'Exothermic reactions liberate energy.', 1: 'A candy bar is candy.', 2: 'Nutrition is essential to health.', 3: 'Genes naturally combine into random patterns.', 4: 'Roundworms are nonsegmented worms that include many common parasites.', 5: 'Anecdotal evidence suggests that yawning helps increase the state of alertness.', 6: 'Cold water Requires a cold water detergent to get clothes clean.', 7: 'Genetic distance is expressed as a value between pair of populations.', 8: 'Some jobs also call for odd hours of work, such as truck driving.', 9: 'Sleep apnea is a problem that needs proper evaluation and treatment.', 10: 'Fleas are located in cheap hotels.'}
| 7 |
6,832 |
["The statement that 'echidnas have (part) skulls' is incorrect.", 'Either if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease or if polysaccharides are probably the main source of carbohydrate in the colon, then echidnas have (part) skulls.', 'It is reasonable to believe that many minerals are famous for their elemental structure due to an important element or compound.', 'Given that miscarriage is extremely common, yet still a very traumatic experience, it can be inferred that dips are condiments.', "Whenever it is true that we know that the claim that if many minerals are famous for their elemental structure due to an important element or compound, then if if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease, then estrogen dominance is the cause of the cancer growing and the inability of the body to cure it is false, 'businesses owned by women constitute one of the fastest growing sectors of the economy' is true.", 'One may reasonably assume that if we know that the claim that if many minerals are famous for their elemental structure due to an important element or compound, then if if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease, then estrogen dominance is the cause of the cancer growing and the inability of the body to cure it is false, then it is not true that businesses owned by women constitute one of the fastest growing sectors of the economy.', 'Either all venules connect to capillaries on one end and a vein on the other or if if miscarriage is extremely common, yet still a very traumatic experience, then dips are condiments, then those that suggest estrogen dominance is the cause of the cancer growing and the inability of the body to cure it are wrong.', "The notion that 'all venules connect to capillaries on one end and a vein on the other' is untrue."]
|
The statement that 'echidnas have (part) skulls' is incorrect. Either if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease or if polysaccharides are probably the main source of carbohydrate in the colon, then echidnas have (part) skulls. It is reasonable to believe that many minerals are famous for their elemental structure due to an important element or compound. Given that miscarriage is extremely common, yet still a very traumatic experience, it can be inferred that dips are condiments. Whenever it is true that we know that the claim that if many minerals are famous for their elemental structure due to an important element or compound, then if if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease, then estrogen dominance is the cause of the cancer growing and the inability of the body to cure it is false, 'businesses owned by women constitute one of the fastest growing sectors of the economy' is true. One may reasonably assume that if we know that the claim that if many minerals are famous for their elemental structure due to an important element or compound, then if if tradeable emissions permits Tradeable emissions permits are rights to pollute , then hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease, then estrogen dominance is the cause of the cancer growing and the inability of the body to cure it is false, then it is not true that businesses owned by women constitute one of the fastest growing sectors of the economy. Either all venules connect to capillaries on one end and a vein on the other or if if miscarriage is extremely common, yet still a very traumatic experience, then dips are condiments, then those that suggest estrogen dominance is the cause of the cancer growing and the inability of the body to cure it are wrong. The notion that 'all venules connect to capillaries on one end and a vein on the other' is untrue.
|
It is not true that polysaccharides are probably the main source of carbohydrate in the colon.
|
It is not true that polysaccharides are probably the main source of carbohydrate in the colon.
|
TRUE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [0], then [1].).
Not (If [2], then [3].). [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Modus Tonens:
If (If [2], then [3].), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC1-3]
Modus Ponens:
If [5], then (If (If [2], then [3].), then [4].). [SC1-4]
[5]
Therefore, If (If [2], then [3].), then [4]..
[SC1-4]
Reductio Ad Absurdum:
If (Not (If [5], then (If (If [2], then [3].), then [4].).).), then [8].
If (Not (If [5], then (If (If [2], then [3].), then [4].).).), then (Not [8].).
Therefore, If [5], then (If (If [2], then [3].), then [4].)..
[SC2-3]
Modus Ponens:
If (If [6], then [7].), then (Not [4].). [SC1-4]
If [6], then [7].
Therefore, Not [4]..
[SC1-4]
Disjunctive Syllogism:
Either [9] or (If (If [6], then [7].), then (Not [4].).).
Not [9].
Therefore, If (If [6], then [7].), then (Not [4].)..
|
{0: 'Polysaccharides are probably the main source of carbohydrate in the colon.', 1: 'Echidnas have (part) skulls.', 2: 'Tradeable emissions permits Tradeable emissions permits are rights to pollute .', 3: 'Hyphae penetrate the sinus mucosa into submucosa, blood vessels, or bone in invasive disease.', 4: 'Estrogen dominance is the cause of the cancer growing and the inability of the body to cure it.', 5: 'Many minerals are famous for their elemental structure due to an important element or compound.', 6: 'Miscarriage is extremely common, yet still a very traumatic experience.', 7: 'Dips are condiments.', 8: 'Businesses owned by women constitute one of the fastest growing sectors of the economy.', 9: 'All venules connect to capillaries on one end and a vein on the other.'}
| 7 |
6,435 |
["The notion that 'magnification works against light-gathering power' is untrue.", 'We know that either jellyfish swarms can be a serious threat to fish farms or either magnification works against light-gathering power or saponins are quite bitter and can be found in many common foods such as some beans.', 'The statement that states if blood tests provide an indication of heart muscle damage, then relationships are the foundation of all learning is false.', 'It is fair to say that stomachs have muscular walls.', 'It is rational to believe that either problems persist for few weeks or most people eat ferns.', 'The claim that problems persist for few weeks is false.', 'Given that welders can deposit more metal with fewer passes because weld flows more readily and pools evenly, it can be inferred that if stomachs have muscular walls, then if most people eat ferns, then either if blood tests provide an indication of heart muscle damage, then relationships are the foundation of all learning or the claim that jellyfish swarms can be a serious threat to fish farms does not correspond with reality.', 'The statement that states welders can deposit more metal with fewer passes because weld flows more readily and pools evenly is right.']
|
The notion that 'magnification works against light-gathering power' is untrue. We know that either jellyfish swarms can be a serious threat to fish farms or either magnification works against light-gathering power or saponins are quite bitter and can be found in many common foods such as some beans. The statement that states if blood tests provide an indication of heart muscle damage, then relationships are the foundation of all learning is false. It is fair to say that stomachs have muscular walls. It is rational to believe that either problems persist for few weeks or most people eat ferns. The claim that problems persist for few weeks is false. Given that welders can deposit more metal with fewer passes because weld flows more readily and pools evenly, it can be inferred that if stomachs have muscular walls, then if most people eat ferns, then either if blood tests provide an indication of heart muscle damage, then relationships are the foundation of all learning or the claim that jellyfish swarms can be a serious threat to fish farms does not correspond with reality. The statement that states welders can deposit more metal with fewer passes because weld flows more readily and pools evenly is right.
|
The statement that states saponins are quite bitter and can be found in many common foods such as some beans is right.
|
Saponins are bitter and reduce the palatability of livestock feeds.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].).
Not [2]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [2].). [SC1-3]
Not (If [3], then [4].).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [5], then (Either (If [3], then [4].) or (Not [2].).). [SC1-4]
[5] [SC2-4]
Therefore, Either (If [3], then [4].) or (Not [2].)..
[SC1-4]
Modus Ponens:
If [6], then (If [5], then (Either (If [3], then [4].) or (Not [2].).).). [SC1-5]
[6]
Therefore, If [5], then (Either (If [3], then [4].) or (Not [2].).)..
[SC1-5]
Modus Ponens:
If [8], then (If [6], then (If [5], then (Either (If [3], then [4].) or (Not [2].).).).).
[8]
Therefore, If [6], then (If [5], then (Either (If [3], then [4].) or (Not [2].).).)..
[SC2-4]
Disjunctive Syllogism:
Either [7] or [5].
Not [7].
Therefore, [5].
|
{0: 'Saponins are quite bitter and can be found in many common foods such as some beans.', 1: 'Magnification works against light-gathering power.', 2: 'Jellyfish swarms can be a serious threat to fish farms.', 3: 'Blood tests provide an indication of heart muscle damage.', 4: 'Relationships are the foundation of all learning.', 5: 'Most people eat ferns.', 6: 'Stomachs have muscular walls.', 7: 'Problems persist for few weeks.', 8: 'Welders can deposit more metal with fewer passes because weld flows more readily and pools evenly.'}
| 7 |
6,005 |
['We know that at least one of two things is true: some animals have large thermal inertia, or if osteoporosis is a common condition that affects millions of people, then equity is that which is fair to all.', "The statement that 'some animals have large thermal inertia' is incorrect.", 'It is a fact that either some women experience vaginal dryness or discharge or german paints hate polymer-based waxes.', 'Provided that some women experience vaginal dryness or discharge, we know that if osteoporosis is a common condition that affects millions of people, then circadian rhythms seem to play a part in migraines.', 'If q Q is a measurement of how much the equalizer band affects a range of frequencies, then if circadian rhythms seem to play a part in migraines, then the statement that states equity is that which is fair to all is false.', 'It is the case that q Q is a measurement of how much the equalizer band affects a range of frequencies.', "Once we know the statement 'if german paints hate polymer-based waxes, then if osteoporosis is a common condition that affects millions of people, then circadian rhythms seem to play a part in migraines' can be considered false, we also know that tennis is an anaerobic sport.", 'We know that either copper is the only naturally occurring metal other than gold that has a distinctive colour or the claim that tennis is an anaerobic sport has no merit.', 'The claim that copper is the only naturally occurring metal other than gold that has a distinctive colour does not correspond with reality.']
|
We know that at least one of two things is true: some animals have large thermal inertia, or if osteoporosis is a common condition that affects millions of people, then equity is that which is fair to all. The statement that 'some animals have large thermal inertia' is incorrect. It is a fact that either some women experience vaginal dryness or discharge or german paints hate polymer-based waxes. Provided that some women experience vaginal dryness or discharge, we know that if osteoporosis is a common condition that affects millions of people, then circadian rhythms seem to play a part in migraines. If q Q is a measurement of how much the equalizer band affects a range of frequencies, then if circadian rhythms seem to play a part in migraines, then the statement that states equity is that which is fair to all is false. It is the case that q Q is a measurement of how much the equalizer band affects a range of frequencies. Once we know the statement 'if german paints hate polymer-based waxes, then if osteoporosis is a common condition that affects millions of people, then circadian rhythms seem to play a part in migraines' can be considered false, we also know that tennis is an anaerobic sport. We know that either copper is the only naturally occurring metal other than gold that has a distinctive colour or the claim that tennis is an anaerobic sport has no merit. The claim that copper is the only naturally occurring metal other than gold that has a distinctive colour does not correspond with reality.
|
The statement 'osteoporosis is a common condition that affects millions of people' can be considered false.
|
It is a common misconception that osteoporosis takes a long time to develop.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].).
Not [3].
Therefore, If [0], then [1]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [2]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [0], then [2].).
If [5], then (If [0], then [2].). [SC3-3]
Therefore, If [0], then [2]..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (If [0], then [2].).).), then [7].
Not [7]. [SC2-4]
Therefore, If [5], then (If [0], then [2].)..
[SC2-4]
Disjunctive Syllogism:
Either [8] or (Not [7].).
Not [8].
Therefore, Not [7]..
[SC2-2]
Modus Ponens:
If [6], then (If [2], then (Not [1].).).
[6]
Therefore, If [2], then (Not [1].)..
|
{0: 'Osteoporosis is a common condition that affects millions of people.', 1: 'Equity is that which is fair to all.', 2: 'Circadian rhythms seem to play a part in migraines.', 3: 'Some animals have large thermal inertia.', 4: 'Some women experience vaginal dryness or discharge.', 5: 'German paints hate polymer-based waxes.', 6: 'Q Q is a measurement of how much the equalizer band affects a range of frequencies.', 7: 'Tennis is an anaerobic sport.', 8: 'Copper is the only naturally occurring metal other than gold that has a distinctive colour.'}
| 7 |
6,769 |
['Given that either risk factors vary for different forms of the disease, although some are shared or some women do choose to go into prostitution to have a better life, it can be inferred that if flagella are structurally almost identical with the much smaller Cilia , then technology is the use of science to bring about change in the world.', 'Some people mistakenly believe that rows are located in auditoriums.', 'Given that either zinc arsenide is a gray solid or religion includes both ancestor worship and a heirarchy of nature gods, it can be inferred that either either risk factors vary for different forms of the disease, although some are shared or some women do choose to go into prostitution to have a better life or software developer needs skills.', 'We know that at least one of two things is true: zinc arsenide is a gray solid , or religion includes both ancestor worship and a heirarchy of nature gods.', "Whenever it is true that most leopards eat prey, 'if software developer needs skills, then if flagella are structurally almost identical with the much smaller Cilia , then technology is the use of science to bring about change in the world' is true.", 'The idea that most leopards eat prey is true.', "So long as either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death, 'either rows are located in auditoriums or flagella are structurally almost identical with the much smaller Cilia ' is true.", "So long as some paws have scent glands, 'either rows are located in auditoriums or flagella are structurally almost identical with the much smaller Cilia ' is true.", "So long as it is a common misconception that either either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death or some paws have scent glands, 'children are major victims of gun violence' is true.", 'Given that it is a common misconception that either either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death or some paws have scent glands, it can be inferred that the statement that states children are major victims of gun violence is false.']
|
Given that either risk factors vary for different forms of the disease, although some are shared or some women do choose to go into prostitution to have a better life, it can be inferred that if flagella are structurally almost identical with the much smaller Cilia , then technology is the use of science to bring about change in the world. Some people mistakenly believe that rows are located in auditoriums. Given that either zinc arsenide is a gray solid or religion includes both ancestor worship and a heirarchy of nature gods, it can be inferred that either either risk factors vary for different forms of the disease, although some are shared or some women do choose to go into prostitution to have a better life or software developer needs skills. We know that at least one of two things is true: zinc arsenide is a gray solid , or religion includes both ancestor worship and a heirarchy of nature gods. Whenever it is true that most leopards eat prey, 'if software developer needs skills, then if flagella are structurally almost identical with the much smaller Cilia , then technology is the use of science to bring about change in the world' is true. The idea that most leopards eat prey is true. So long as either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death, 'either rows are located in auditoriums or flagella are structurally almost identical with the much smaller Cilia ' is true. So long as some paws have scent glands, 'either rows are located in auditoriums or flagella are structurally almost identical with the much smaller Cilia ' is true. So long as it is a common misconception that either either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death or some paws have scent glands, 'children are major victims of gun violence' is true. Given that it is a common misconception that either either carbon is used in storage compounds and cell formation in all organisms or some amoebas cause death or some paws have scent glands, it can be inferred that the statement that states children are major victims of gun violence is false.
|
The statement that states technology is the use of science to bring about change in the world is right.
|
The notion that 'technology is the use of science to bring about change in the world' is untrue.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5]. [SC1-2]
If (Either [3] or [4].), then (If [1], then [0].).
If [5], then (If [1], then [0].). [SC3-2]
Therefore, If [1], then [0]..
[SC1-2]
Modus Ponens:
If (Either [6] or [7].), then (Either (Either [3] or [4].) or [5].).
Either [6] or [7].
Therefore, Either (Either [3] or [4].) or [5]..
[SC3-2]
Modus Ponens:
If [8], then (If [5], then (If [1], then [0].).).
[8]
Therefore, If [5], then (If [1], then [0].)..
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Disjunction Elimination:
Either (Either [9] or [10].) or [11]. [SC1-3]
If (Either [9] or [10].), then (Either [2] or [1].).
If [11], then (Either [2] or [1].).
Therefore, Either [2] or [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [9] or [10].) or [11].).), then [12].
If (Not (Either (Either [9] or [10].) or [11].).), then (Not [12].).
Therefore, Either (Either [9] or [10].) or [11]..
|
{0: 'Technology is the use of science to bring about change in the world.', 1: 'Flagella are structurally almost identical with the much smaller Cilia .', 2: 'Rows are located in auditoriums.', 3: 'Risk factors vary for different forms of the disease, although some are shared.', 4: 'Some women do choose to go into prostitution to have a better life.', 5: 'Software developer needs skills.', 6: 'Zinc arsenide is a gray solid .', 7: 'Religion includes both ancestor worship and a heirarchy of nature gods.', 8: 'Most leopards eat prey.', 9: 'Carbon is used in storage compounds and cell formation in all organisms.', 10: 'Some amoebas cause death.', 11: 'Some paws have scent glands.', 12: 'Children are major victims of gun violence.'}
| 7 |
6,679 |
['It is rational to believe that either a mamillary body is a neural structure or if theft is a result of opportunity, then fossils are any remains of ancient life.', 'The claim that a mamillary body is a neural structure is false.', 'Once we know either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes, we also know that theft is a result of opportunity.', 'Should it be the case that we know that the claim that either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes is false, it follows that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity.', 'Either one or both of these statements are true: either theaters are located in schools or filtration depends on pressure, or if we know that the claim that either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes is false, then estheticians are skilled workers.', 'It is not the case that either theaters are located in schools or filtration depends on pressure.', 'On the condition that the statement, if estheticians are skilled workers, then we know that the claim that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity is false, does not hold, it is definitely the case that acidified lakes are unable to support fish.', 'If the statement, if estheticians are skilled workers, then we know that the claim that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity is false, does not hold, then it is not the case that acidified lakes are unable to support fish.']
|
It is rational to believe that either a mamillary body is a neural structure or if theft is a result of opportunity, then fossils are any remains of ancient life. The claim that a mamillary body is a neural structure is false. Once we know either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes, we also know that theft is a result of opportunity. Should it be the case that we know that the claim that either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes is false, it follows that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity. Either one or both of these statements are true: either theaters are located in schools or filtration depends on pressure, or if we know that the claim that either most landscapes have plants that regularly become diseased with one of the powdery mildew fungi or addaxs have (part) cell membranes is false, then estheticians are skilled workers. It is not the case that either theaters are located in schools or filtration depends on pressure. On the condition that the statement, if estheticians are skilled workers, then we know that the claim that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity is false, does not hold, it is definitely the case that acidified lakes are unable to support fish. If the statement, if estheticians are skilled workers, then we know that the claim that if ladybugs breathe through openings on the sides of their bodies, then most gerbils reach sexual maturity is false, does not hold, then it is not the case that acidified lakes are unable to support fish.
|
The statement 'fossils are any remains of ancient life' is true.
|
Those that suggest fossils are any remains of ancient life are wrong.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then [0].).
Not [2].
Therefore, If [1], then [0]..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then [1].
Either [3] or [4]. [SC2-2]
Therefore, [1].
[SC2-2]
Reductio Ad Absurdum:
If (Not (Either [3] or [4].).), then (If [5], then [6].).
If (Not (Either [3] or [4].).), then (Not (If [5], then [6].).). [SC2-3]
Therefore, Either [3] or [4]..
[SC2-3]
Hypothetical Syllogism:
If (Not (Either [3] or [4].).), then [7]. [SC1-4]
If [7], then (Not (If [5], then [6].).). [SC2-4]
Therefore, If (Not (Either [3] or [4].).), then (Not (If [5], then [6].).)..
[SC1-4]
Disjunctive Syllogism:
Either (Either [9] or [10].) or (If (Not (Either [3] or [4].).), then [7].).
Not (Either [9] or [10].).
Therefore, If (Not (Either [3] or [4].).), then [7]..
[SC2-4]
Reductio Ad Absurdum:
If (Not (If [7], then (Not (If [5], then [6].).).).), then [8].
If (Not (If [7], then (Not (If [5], then [6].).).).), then (Not [8].).
Therefore, If [7], then (Not (If [5], then [6].).)..
|
{0: 'Fossils are any remains of ancient life.', 1: 'Theft is a result of opportunity.', 2: 'A mamillary body is a neural structure.', 3: 'Most landscapes have plants that regularly become diseased with one of the powdery mildew fungi.', 4: 'Addaxs have (part) cell membranes.', 5: 'Ladybugs breathe through openings on the sides of their bodies.', 6: 'Most gerbils reach sexual maturity.', 7: 'Estheticians are skilled workers.', 8: 'Acidified lakes are unable to support fish.', 9: 'Theaters are located in schools.', 10: 'Filtration depends on pressure.'}
| 7 |
6,722 |
["Whenever it is true that disorder is caused by toxins, 'a martin is a swallow' is true.", 'Given that a foxtail millet is grass, it can be inferred that if minks are small, short-legged members of the weasel family, then a martin is a swallow.', 'At least one of two things is true: fleas have (part) cell membranes, or if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then some flowers turn into edible fruit.', 'It is not true that fleas have (part) cell membranes.', 'Should it be the case that it is not the case that if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then those that suggest some flowers turn into edible fruit are wrong, it follows that some mule deer have small patches.', 'When it is not the case that if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then those that suggest some flowers turn into edible fruit are wrong is true, it follows that the claim that some mule deer have small patches has no merit.', 'There is good reason to believe that either fear causes humans to strike first or a foxtail millet is grass.', 'It is a fact that either earthworms can do the plowing for no-till agriculture or it is not true that fear causes humans to strike first.', 'The claim that earthworms can do the plowing for no-till agriculture has no merit.']
|
Whenever it is true that disorder is caused by toxins, 'a martin is a swallow' is true. Given that a foxtail millet is grass, it can be inferred that if minks are small, short-legged members of the weasel family, then a martin is a swallow. At least one of two things is true: fleas have (part) cell membranes, or if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then some flowers turn into edible fruit. It is not true that fleas have (part) cell membranes. Should it be the case that it is not the case that if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then those that suggest some flowers turn into edible fruit are wrong, it follows that some mule deer have small patches. When it is not the case that if those that suggest either disorder is caused by toxins or minks are small, short-legged members of the weasel family are wrong, then those that suggest some flowers turn into edible fruit are wrong is true, it follows that the claim that some mule deer have small patches has no merit. There is good reason to believe that either fear causes humans to strike first or a foxtail millet is grass. It is a fact that either earthworms can do the plowing for no-till agriculture or it is not true that fear causes humans to strike first. The claim that earthworms can do the plowing for no-till agriculture has no merit.
|
It is reasonable to believe that a martin is a swallow.
|
The statement, a martin is a swallow, does not hold.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [4]. [SC1-2]
If (Not (Either [1] or [2].).), then (Not [4].). [SC2-2]
Therefore, Either [1] or [2]..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [1] or [2].).), then [4].).
Not [5].
Therefore, If (Not (Either [1] or [2].).), then [4]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or [2].).), then (Not [4].).).), then [7].
If (Not (If (Not (Either [1] or [2].).), then (Not [4].).).), then (Not [7].).
Therefore, If (Not (Either [1] or [2].).), then (Not [4].)..
[SC3-1]
Modus Ponens:
If [3], then (If [2], then [0].).
[3] [SC2-2]
Therefore, If [2], then [0]..
[SC2-2]
Disjunctive Syllogism:
Either [6] or [3].
Not [6]. [SC2-3]
Therefore, [3].
[SC2-3]
Disjunctive Syllogism:
Either [8] or (Not [6].).
Not [8].
Therefore, Not [6]..
|
{0: 'A martin is a swallow.', 1: 'Disorder is caused by toxins.', 2: 'Minks are small, short-legged members of the weasel family.', 3: 'A foxtail millet is grass.', 4: 'Some flowers turn into edible fruit.', 5: 'Fleas have (part) cell membranes.', 6: 'Fear causes humans to strike first.', 7: 'Some mule deer have small patches.', 8: 'Earthworms can do the plowing for no-till agriculture.'}
| 7 |
6,215 |
['When child support is an area of law which generates more myths than almost any other area of family law is true, it follows that cute puppies have teeth.', 'Given that it is not the case that if causality is always an inference , then child support is an area of law which generates more myths than almost any other area of family law, it can be inferred that acute hyperparathyroidism is a rare and dangerous condition.', 'Once we know balance approaches incorporate physical activities, we also know that if acute hyperparathyroidism is a rare and dangerous condition, then some synapse is part of nerves.', 'Should it be the case that some synapse is part of nerves, it follows that those that suggest globalisation means the breaking down of frontiers, whether they divide out minds or our countries are wrong.', "When the statement 'balance approaches incorporate physical activities' can be considered false is true, it follows that pavement is located in cities.", "One may reasonably assume that if the statement 'balance approaches incorporate physical activities' can be considered false, then the claim that pavement is located in cities is false.", 'Once we know intraplate earthquakes have in general higher stress drop than interplate earthquakes, we also know that if some synapse is part of nerves, then globalisation means the breaking down of frontiers, whether they divide out minds or our countries.', 'It is fair to say that intraplate earthquakes have in general higher stress drop than interplate earthquakes.']
|
When child support is an area of law which generates more myths than almost any other area of family law is true, it follows that cute puppies have teeth. Given that it is not the case that if causality is always an inference , then child support is an area of law which generates more myths than almost any other area of family law, it can be inferred that acute hyperparathyroidism is a rare and dangerous condition. Once we know balance approaches incorporate physical activities, we also know that if acute hyperparathyroidism is a rare and dangerous condition, then some synapse is part of nerves. Should it be the case that some synapse is part of nerves, it follows that those that suggest globalisation means the breaking down of frontiers, whether they divide out minds or our countries are wrong. When the statement 'balance approaches incorporate physical activities' can be considered false is true, it follows that pavement is located in cities. One may reasonably assume that if the statement 'balance approaches incorporate physical activities' can be considered false, then the claim that pavement is located in cities is false. Once we know intraplate earthquakes have in general higher stress drop than interplate earthquakes, we also know that if some synapse is part of nerves, then globalisation means the breaking down of frontiers, whether they divide out minds or our countries. It is fair to say that intraplate earthquakes have in general higher stress drop than interplate earthquakes.
|
When causality is always an inference is true, it follows that cute puppies have teeth.
|
Whenever it is true that causality is also within space and time, 'cute puppies have teeth' is true.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1].
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [2].).), then [3].
Not [3]. [SC2-2]
Therefore, If [0], then [2]..
[SC2-2]
Modus Tonens:
If [3], then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If [6], then (If [3], then [4].).
[6] [SC2-4]
Therefore, If [3], then [4]..
[SC2-4]
Reductio Ad Absurdum:
If (Not [6].), then [8].
If (Not [6].), then (Not [8].).
Therefore, [6].
[SC2-3]
Reductio Ad Absurdum:
If [4], then [5]. [SC1-4]
If [4], then (Not [5].).
Therefore, Not [4]..
[SC1-4]
Modus Ponens:
If [7], then (If [4], then [5].).
[7]
Therefore, If [4], then [5]..
|
{0: 'Causality is always an inference .', 1: 'Cute puppies have teeth.', 2: 'Child support is an area of law which generates more myths than almost any other area of family law.', 3: 'Acute hyperparathyroidism is a rare and dangerous condition.', 4: 'Some synapse is part of nerves.', 5: 'Globalisation means the breaking down of frontiers, whether they divide out minds or our countries.', 6: 'Balance approaches incorporate physical activities.', 7: 'Intraplate earthquakes have in general higher stress drop than interplate earthquakes.', 8: 'Pavement is located in cities.'}
| 7 |
6,653 |
["So long as titanium has poor wear resistance, 'the claim that arthritis can have a distinct impact on a persons work capabilities does not reflect reality' is true.", 'Once we know the statement, titanium has poor wear resistance, does not hold, we also know that it is not true that brazil ranks fifth in both area and population among the countries of the world.', "Whenever it is true that ecstasy remains illegal in Holland and is classified as a hard drug, like heroin and cocaine, 'brazil ranks fifth in both area and population among the countries of the world' is true.", 'Either one or both of these statements are true: sanctification is a gift just as salvation is a gift, or if the claim that if the statement, titanium has poor wear resistance, does not hold, then ecstasy remains illegal in Holland and is classified as a hard drug, like heroin and cocaine has no merit, then common raccoons have fur.', 'It is a common misconception that sanctification is a gift just as salvation is a gift.', "It is a fact that either either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores or the statement that 'common raccoons have fur' is incorrect.", 'Should it be the case that either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores, it follows that academic freedom is freedom.', 'One may reasonably assume that if either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores, then the claim that academic freedom is freedom does not correspond with reality.']
|
So long as titanium has poor wear resistance, 'the claim that arthritis can have a distinct impact on a persons work capabilities does not reflect reality' is true. Once we know the statement, titanium has poor wear resistance, does not hold, we also know that it is not true that brazil ranks fifth in both area and population among the countries of the world. Whenever it is true that ecstasy remains illegal in Holland and is classified as a hard drug, like heroin and cocaine, 'brazil ranks fifth in both area and population among the countries of the world' is true. Either one or both of these statements are true: sanctification is a gift just as salvation is a gift, or if the claim that if the statement, titanium has poor wear resistance, does not hold, then ecstasy remains illegal in Holland and is classified as a hard drug, like heroin and cocaine has no merit, then common raccoons have fur. It is a common misconception that sanctification is a gift just as salvation is a gift. It is a fact that either either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores or the statement that 'common raccoons have fur' is incorrect. Should it be the case that either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores, it follows that academic freedom is freedom. One may reasonably assume that if either songwriters are composers or inductors are aluminum coils wrapped around laminated iron cores, then the claim that academic freedom is freedom does not correspond with reality.
|
The claim that arthritis can have a distinct impact on a persons work capabilities does not reflect reality.
|
We know that the claim that arthritis is a debilitating disease that can leave a person wheelchair bound or bed ridden is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [2]. [SC1-2]
If (Not [1].), then (Not [2].).
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [3]. [SC1-3]
If [3], then [2].
Therefore, If (Not [1].), then [2]..
[SC1-3]
Modus Tonens:
If (Not (If (Not [1].), then [3].).), then [4]. [SC1-4]
Not [4]. [SC2-4]
Therefore, If (Not [1].), then [3]..
[SC1-4]
Disjunctive Syllogism:
Either [5] or (If (Not (If (Not [1].), then [3].).), then [4].).
Not [5].
Therefore, If (Not (If (Not [1].), then [3].).), then [4]..
[SC2-4]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not [4].).
Not (Either [6] or [7].). [SC2-5]
Therefore, Not [4]..
[SC2-5]
Reductio Ad Absurdum:
If (Either [6] or [7].), then [8].
If (Either [6] or [7].), then (Not [8].).
Therefore, Not (Either [6] or [7].)..
|
{0: 'Arthritis can have a distinct impact on a persons work capabilities.', 1: 'Titanium has poor wear resistance.', 2: 'Brazil ranks fifth in both area and population among the countries of the world.', 3: 'Ecstasy remains illegal in Holland and is classified as a hard drug, like heroin and cocaine.', 4: 'Common raccoons have fur.', 5: 'Sanctification is a gift just as salvation is a gift.', 6: 'Songwriters are composers.', 7: 'Inductors are aluminum coils wrapped around laminated iron cores.', 8: 'Academic freedom is freedom.'}
| 7 |
6,150 |
['Either if religion unquestionably helps define a society, then combs are used in the making of thread from fibers like wool or cotton or shingles rot when the mat at the core of the shingle absorbs moisture.', 'Should it be the case that some people mistakenly believe that if men have eating disorders at a lower rate than females and their numbers are on the rise, then if if religion unquestionably helps define a society, then combs are used in the making of thread from fibers like wool or cotton, then cinnamon has (part) sections, it follows that percutaneous intervention is medical treatments.', "The statement 'percutaneous intervention is medical treatments' can be considered false.", 'At least one of two things is true: young waterfowl are precocial and begin foraging shortly after hatching, or ciliate protozoans cause diseases.', 'Given that young waterfowl are precocial and begin foraging shortly after hatching, it can be inferred that men have eating disorders at a lower rate than females and their numbers are on the rise.', 'Should it be the case that ciliate protozoans cause diseases, it follows that men have eating disorders at a lower rate than females and their numbers are on the rise.', 'Provided that we know that the claim that if we know that the claim that if shingles rot when the mat at the core of the shingle absorbs moisture, then cinnamon has (part) sections is false, then most many insects release noxious compounds is false, we know that passage is structures.', 'It is not true that passage is structures.', 'Once we know we know that the claim that if shingles rot when the mat at the core of the shingle absorbs moisture, then cinnamon has (part) sections is false, we also know that tea drinking is part of a healthy lifestyle, which includes regular exercise and eating moderately.', 'Once we know tea drinking is part of a healthy lifestyle, which includes regular exercise and eating moderately, we also know that it is not the case that most many insects release noxious compounds.']
|
Either if religion unquestionably helps define a society, then combs are used in the making of thread from fibers like wool or cotton or shingles rot when the mat at the core of the shingle absorbs moisture. Should it be the case that some people mistakenly believe that if men have eating disorders at a lower rate than females and their numbers are on the rise, then if if religion unquestionably helps define a society, then combs are used in the making of thread from fibers like wool or cotton, then cinnamon has (part) sections, it follows that percutaneous intervention is medical treatments. The statement 'percutaneous intervention is medical treatments' can be considered false. At least one of two things is true: young waterfowl are precocial and begin foraging shortly after hatching, or ciliate protozoans cause diseases. Given that young waterfowl are precocial and begin foraging shortly after hatching, it can be inferred that men have eating disorders at a lower rate than females and their numbers are on the rise. Should it be the case that ciliate protozoans cause diseases, it follows that men have eating disorders at a lower rate than females and their numbers are on the rise. Provided that we know that the claim that if we know that the claim that if shingles rot when the mat at the core of the shingle absorbs moisture, then cinnamon has (part) sections is false, then most many insects release noxious compounds is false, we know that passage is structures. It is not true that passage is structures. Once we know we know that the claim that if shingles rot when the mat at the core of the shingle absorbs moisture, then cinnamon has (part) sections is false, we also know that tea drinking is part of a healthy lifestyle, which includes regular exercise and eating moderately. Once we know tea drinking is part of a healthy lifestyle, which includes regular exercise and eating moderately, we also know that it is not the case that most many insects release noxious compounds.
|
We can assume that cinnamon has (part) sections.
|
We can assume that cinnamon has (part) sections.
|
TRUE
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [5], then (If (If [1], then [2].), then [0].). [SC1-2]
[5] [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [5], then (If (If [1], then [2].), then [0].).).), then [10].
Not [10].
Therefore, If [5], then (If (If [1], then [2].), then [0].)..
[SC2-2]
Disjunction Elimination:
Either [8] or [9].
If [8], then [5].
If [9], then [5].
Therefore, [5].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [3], then [0].).), then [4]. [SC1-2]
If (Not (If [3], then [0].).), then (Not [4].). [SC2-2]
Therefore, If [3], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [3], then [0].).), then [4].).), then [6].
Not [6].
Therefore, If (Not (If [3], then [0].).), then [4]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If [3], then [0].).), then [7].
If [7], then (Not [4].).
Therefore, If (Not (If [3], then [0].).), then (Not [4].)..
|
{0: 'Cinnamon has (part) sections.', 1: 'Religion unquestionably helps define a society.', 2: 'Combs are used in the making of thread from fibers like wool or cotton.', 3: 'Shingles rot when the mat at the core of the shingle absorbs moisture.', 4: 'Most many insects release noxious compounds.', 5: 'Men have eating disorders at a lower rate than females and their numbers are on the rise.', 6: 'Passage is structures.', 7: 'Tea drinking is part of a healthy lifestyle, which includes regular exercise and eating moderately.', 8: 'Young waterfowl are precocial and begin foraging shortly after hatching.', 9: 'Ciliate protozoans cause diseases.', 10: 'Percutaneous intervention is medical treatments.'}
| 7 |
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