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If officer smith found a broken window at the crime scene then the arson occurred on elm street, and officer smith found a broken window at the crime scene, therefore the arson occurred on elm street. stringlengths 74 421 | If officer smith found a broken window at the crime scene then the arson occurred on elm street stringlengths 36 192 | Officer smith found a broken window at the crime scene stringclasses 788
values | The arson occurred on Elm Street stringclasses 788
values | modus ponen stringclasses 2
values | Officer Smith found a broken window at the crime scene stringclasses 394
values | The arson occurred on Elm Street.1 stringclasses 394
values | Officer Smith did not find a broken window at the crime scene stringclasses 394
values | The arson did not occur on Elm Street stringclasses 394
values | True bool 1
class |
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If the book is on the table then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the book is not on the table. | If the book is on the table then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The book is not on the table | modus tollen | The book is on the table | The cat is sleeping soundly on the bed | The book is not on the table | The cat is not sleeping soundly on the bed | true |
If the book is on the table then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the book is not on the table. | If the book is on the table then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The book is not on the table | modus tollen | The book is on the table | The cat is sleeping soundly on the bed | The book is not on the table | The cat is not sleeping soundly on the bed | true |
The book is not on the table, since if the book is on the table then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the book is on the table then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The book is not on the table | modus tollen | The book is on the table | The cat is sleeping soundly on the bed | The book is not on the table | The cat is not sleeping soundly on the bed | true |
The book is not on the table, because if the book is on the table then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the book is on the table then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The book is not on the table | modus tollen | The book is on the table | The cat is sleeping soundly on the bed | The book is not on the table | The cat is not sleeping soundly on the bed | true |
The book is not on the table, as if the book is on the table then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the book is on the table then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The book is not on the table | modus tollen | The book is on the table | The cat is sleeping soundly on the bed | The book is not on the table | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, therefore the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, hence the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, thus the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, so it can be concluded that the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, so the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, which implies that the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, which shows that the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the car is parked on the street, which establishes that the cat is sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the car is parked on the street then the cat is sleeping soundly on the bed and the car is parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the car is parked on the street then the cat is sleeping soundly on the bed and the car is parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the car is parked on the street then the cat is sleeping soundly on the bed and the car is parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The car is parked on the street | The cat is sleeping soundly on the bed | modus ponen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so it can be concluded that the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the car is parked on the street then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the car is not parked on the street. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The car is not parked on the street, since if the car is parked on the street then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The car is not parked on the street, because if the car is parked on the street then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
The car is not parked on the street, as if the car is parked on the street then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked on the street then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked on the street | modus tollen | The car is parked on the street | The cat is sleeping soundly on the bed | The car is not parked on the street | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, therefore the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, hence the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, thus the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, so it can be concluded that the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, so the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, which implies that the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, which shows that the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the baby is crying, which establishes that the cat is sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the baby is crying then the cat is sleeping soundly on the bed and the baby is crying. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the baby is crying then the cat is sleeping soundly on the bed and the baby is crying. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the baby is crying then the cat is sleeping soundly on the bed and the baby is crying. | If the baby is crying then the cat is sleeping soundly on the bed | The baby is crying | The cat is sleeping soundly on the bed | modus ponen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so it can be concluded that the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the baby is crying then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the baby is not crying. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The baby is not crying, since if the baby is crying then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The baby is not crying, because if the baby is crying then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
The baby is not crying, as if the baby is crying then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is crying then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not crying | modus tollen | The baby is crying | The cat is sleeping soundly on the bed | The baby is not crying | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, therefore the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, hence the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, thus the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, so it can be concluded that the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, so the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, which implies that the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, which shows that the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the football is round, which establishes that the cat is sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the football is round then the cat is sleeping soundly on the bed and the football is round. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the football is round then the cat is sleeping soundly on the bed and the football is round. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the football is round then the cat is sleeping soundly on the bed and the football is round. | If the football is round then the cat is sleeping soundly on the bed | The football is round | The cat is sleeping soundly on the bed | modus ponen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so it can be concluded that the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the football is round then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the football is not round. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The football is not round, since if the football is round then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The football is not round, because if the football is round then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
The football is not round, as if the football is round then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the football is round then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The football is not round | modus tollen | The football is round | The cat is sleeping soundly on the bed | The football is not round | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, therefore the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, hence the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, thus the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, so it can be concluded that the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, so the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, which implies that the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, which shows that the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the apple is red, which establishes that the cat is sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the apple is red then the cat is sleeping soundly on the bed and the apple is red. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the apple is red then the cat is sleeping soundly on the bed and the apple is red. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the apple is red then the cat is sleeping soundly on the bed and the apple is red. | If the apple is red then the cat is sleeping soundly on the bed | The apple is red | The cat is sleeping soundly on the bed | modus ponen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so it can be concluded that the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the apple is red then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the apple is not red. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The apple is not red, since if the apple is red then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The apple is not red, because if the apple is red then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
The apple is not red, as if the apple is red then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the apple is red then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The apple is not red | modus tollen | The apple is red | The cat is sleeping soundly on the bed | The apple is not red | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, therefore the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, hence the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, thus the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, so it can be concluded that the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, so the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, which implies that the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
If the tree is tall then the cat is sleeping soundly on the bed, and the tree is tall, which shows that the cat is sleeping soundly on the bed. | If the tree is tall then the cat is sleeping soundly on the bed | The tree is tall | The cat is sleeping soundly on the bed | modus ponen | The tree is tall | The cat is sleeping soundly on the bed | The tree is not tall | The cat is not sleeping soundly on the bed | true |
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