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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 sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly 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 sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the sun is shining brightly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the sun is not shining brightly. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
The sun is not shining brightly, since if the sun is shining brightly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
The sun is not shining brightly, because if the sun is shining brightly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
The sun is not shining brightly, as if the sun is shining brightly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the sun is shining brightly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The sun is not shining brightly | modus tollen | The sun is shining brightly | The cat is sleeping soundly on the bed | The sun is not shining brightly | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, therefore the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, hence the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, thus the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, so it can be concluded that the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, so the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, which implies that the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, which shows that the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the tree is shedding leaves, which establishes that the cat is sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the tree is shedding leaves then the cat is sleeping soundly on the bed and the tree is shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the tree is shedding leaves then the cat is sleeping soundly on the bed and the tree is shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the tree is shedding leaves then the cat is sleeping soundly on the bed and the tree is shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The tree is shedding leaves | The cat is sleeping soundly on the bed | modus ponen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves 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 tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the tree is shedding leaves then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the tree is not shedding leaves. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The tree is not shedding leaves, since if the tree is shedding leaves then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The tree is not shedding leaves, because if the tree is shedding leaves then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
The tree is not shedding leaves, as if the tree is shedding leaves then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the tree is shedding leaves then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The tree is not shedding leaves | modus tollen | The tree is shedding leaves | The cat is sleeping soundly on the bed | The tree is not shedding leaves | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, therefore the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, hence the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, thus the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, so it can be concluded that the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, so the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, which implies that the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, which shows that the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage then the cat is sleeping soundly on the bed, and the car is parked in the garage, which establishes that the cat is sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the car is parked in the garage then the cat is sleeping soundly on the bed and the car is parked in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the car is parked in the garage then the cat is sleeping soundly on the bed and the car is parked in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the car is parked in the garage then the cat is sleeping soundly on the bed and the car is parked in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The car is parked in the garage | The cat is sleeping soundly on the bed | modus ponen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the car is parked in the garage 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 in the garage. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The car is not parked in the garage, since if the car is parked in the garage then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The car is not parked in the garage, because if the car is parked in the garage then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
The car is not parked in the garage, as if the car is parked in the garage then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the car is parked in the garage then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The car is not parked in the garage | modus tollen | The car is parked in the garage | The cat is sleeping soundly on the bed | The car is not parked in the garage | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, therefore the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, hence the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, thus the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, so it can be concluded that the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, so the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, which implies that the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, which shows that the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the baby is playing with toys, which establishes that the cat is sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the baby is playing with toys then the cat is sleeping soundly on the bed and the baby is playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the baby is playing with toys then the cat is sleeping soundly on the bed and the baby is playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the baby is playing with toys then the cat is sleeping soundly on the bed and the baby is playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The baby is playing with toys | The cat is sleeping soundly on the bed | modus ponen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the baby is not playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the baby is not playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the baby is not playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys 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 playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the baby is not playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys 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 playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys 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 playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the baby is playing with toys 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 playing with toys. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The baby is not playing with toys, since if the baby is playing with toys then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The baby is not playing with toys, because if the baby is playing with toys then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
The baby is not playing with toys, as if the baby is playing with toys then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the baby is playing with toys then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The baby is not playing with toys | modus tollen | The baby is playing with toys | The cat is sleeping soundly on the bed | The baby is not playing with toys | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, therefore the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, hence the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, thus the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, so it can be concluded that the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, so the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, which implies that the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, which shows that the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the dog is barking loudly, which establishes that the cat is sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, since if the dog is barking loudly then the cat is sleeping soundly on the bed and the dog is barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, because if the dog is barking loudly then the cat is sleeping soundly on the bed and the dog is barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The cat is sleeping soundly on the bed, as if the dog is barking loudly then the cat is sleeping soundly on the bed and the dog is barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The dog is barking loudly | The cat is sleeping soundly on the bed | modus ponen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, therefore the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, hence the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, thus the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly 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 dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, so the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which implies that the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which shows that the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the dog is barking loudly then the cat is sleeping soundly on the bed, and the cat is not sleeping soundly on the bed, which establishes that the dog is not barking loudly. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The dog is not barking loudly, since if the dog is barking loudly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The dog is not barking loudly, because if the dog is barking loudly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
The dog is not barking loudly, as if the dog is barking loudly then the cat is sleeping soundly on the bed and the cat is not sleeping soundly on the bed. | If the dog is barking loudly then the cat is sleeping soundly on the bed | The cat is not sleeping soundly on the bed | The dog is not barking loudly | modus tollen | The dog is barking loudly | The cat is sleeping soundly on the bed | The dog is not barking loudly | The cat is not sleeping soundly on the bed | true |
If the cat is sleeping soundly then the cat is sleeping soundly on the bed, and the cat is sleeping soundly, therefore the cat is sleeping soundly on the bed. | If the cat is sleeping soundly then the cat is sleeping soundly on the bed | The cat is sleeping soundly | The cat is sleeping soundly on the bed | modus ponen | The cat is sleeping soundly | The cat is sleeping soundly on the bed | The cat is not sleeping soundly | The cat is not sleeping soundly on the bed | true |
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