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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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The baby is not sleeping, since if the baby is sleeping then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is sleeping then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not sleeping | modus tollen | The baby is sleeping | The cat is sleeping soundly on the bed | The baby is not sleeping | The cat is not sleeping soundly on the bed | true |
The baby is not sleeping, because if the baby is sleeping then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is sleeping then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not sleeping | modus tollen | The baby is sleeping | The cat is sleeping soundly on the bed | The baby is not sleeping | The cat is not sleeping soundly on the bed | true |
The baby is not sleeping, as if the baby is sleeping then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is sleeping then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not sleeping | modus tollen | The baby is sleeping | The cat is sleeping soundly on the bed | The baby is not sleeping | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, therefore the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, hence the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, thus the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, so it can be concluded that the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, so the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, which implies that the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, which shows that the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the car is moving, which establishes that the cat is sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the car is moving then the cat is sleeping soundly on the bed and the car is moving. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the car is moving then the cat is sleeping soundly on the bed and the car is moving. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the car is moving then the cat is sleeping soundly on the bed and the car is moving. | If the car is moving then the cat is sleeping soundly on the bed | The car is moving | The cat is sleeping soundly on the bed | modus ponen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the car is not moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the car is not moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the car is not moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving 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 moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the car is not moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving 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 moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving 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 moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the car is moving 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 moving. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The car is not moving, since if the car is moving then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The car is not moving, because if the car is moving then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
The car is not moving, as if the car is moving then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is moving then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not moving | modus tollen | The car is moving | The cat is sleeping soundly on the bed | The car is not moving | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, therefore the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, hence the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, thus the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, so it can be concluded that the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, so the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, which implies that the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, which shows that the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the bird is singing, which establishes that the cat is sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the bird is singing then the cat is sleeping soundly on the bed and the bird is singing. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the bird is singing then the cat is sleeping soundly on the bed and the bird is singing. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the bird is singing then the cat is sleeping soundly on the bed and the bird is singing. | If the bird is singing then the cat is sleeping soundly on the bed | The bird is singing | The cat is sleeping soundly on the bed | modus ponen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing 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 bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the bird is singing then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the bird is not singing. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The bird is not singing, since if the bird is singing then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The bird is not singing, because if the bird is singing then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
The bird is not singing, as if the bird is singing then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the bird is singing then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The bird is not singing | modus tollen | The bird is singing | The cat is sleeping soundly on the bed | The bird is not singing | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, therefore the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, hence the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, thus the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, so it can be concluded that the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, so the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, which implies that the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, which shows that the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the water is warm, which establishes that the cat is sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the water is warm then the cat is sleeping soundly on the bed and the water is warm. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the water is warm then the cat is sleeping soundly on the bed and the water is warm. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the water is warm then the cat is sleeping soundly on the bed and the water is warm. | If the water is warm then the cat is sleeping soundly on the bed | The water is warm | The cat is sleeping soundly on the bed | modus ponen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm 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 water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the water is warm then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the water is not warm. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The water is not warm, since if the water is warm then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The water is not warm, because if the water is warm then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
The water is not warm, as if the water is warm then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the water is warm then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The water is not warm | modus tollen | The water is warm | The cat is sleeping soundly on the bed | The water is not warm | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, therefore the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, hence the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, thus the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, so it can be concluded that the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, so the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, which implies that the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, which shows that the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the pizza is hot, which establishes that the cat is sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the pizza is hot then the cat is sleeping soundly on the bed and the pizza is hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the pizza is hot then the cat is sleeping soundly on the bed and the pizza is hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the pizza is hot then the cat is sleeping soundly on the bed and the pizza is hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The pizza is hot | The cat is sleeping soundly on the bed | modus ponen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot 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 pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the pizza is hot then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the pizza is not hot. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The pizza is not hot, since if the pizza is hot then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The pizza is not hot, because if the pizza is hot then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
The pizza is not hot, as if the pizza is hot then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the pizza is hot then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The pizza is not hot | modus tollen | The pizza is hot | The cat is sleeping soundly on the bed | The pizza is not hot | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, therefore the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, hence the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, thus the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, so it can be concluded that the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, so the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, which implies that the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, which shows that the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
If the computer is on then the cat is sleeping soundly on the bed, and the computer is on, which establishes that the cat is sleeping soundly on the bed. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the computer is on then the cat is sleeping soundly on the bed and the computer is on. | If the computer is on then the cat is sleeping soundly on the bed | The computer is on | The cat is sleeping soundly on the bed | modus ponen | The computer is on | The cat is sleeping soundly on the bed | The computer is not on | The cat is not sleeping soundly on the bed | true |
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