A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
(w>~((w|w)))
|
(((~(w)>h)>h)|((~(w)>h)&~((w|(h&h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((w>h))&w)
|
((~((h|w))|~(h))>(w&(h|w)))
| 1 | 0 | 1 | 0 |
entailment
|
(w>~((w|w)))
|
((~((h|w))|~(h))>(w&(h|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((w>h))&w)
|
(((~(w)>h)>h)|((~(w)>h)&~((w|(h&h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(h|~(((h|((w>h)&(w>h)))|w)))
|
~(((h>~((w|(h&h))))&~((h&h))))
| 1 | 0 | 1 | 1 |
entailment
|
~(~(~(((h&w)|(w>~(w))))))
|
(w&(w|w))
| 1 | 1 | 1 | 1 |
entailment
|
(h|~(((h|((w>h)&(w>h)))|w)))
|
(w&(w|w))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(((h&w)|(w>~(w))))))
|
~(((h>~((w|(h&h))))&~((h&h))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((h&h)>(h&w)))
|
((w&h)|h)
| 1 | 1 | 1 | 0 |
entailment
|
~(h)
|
(((w>(h&h))|w)&((h>w)|~((w|h))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((h&h)>(h&w)))
|
(((w>(h&h))|w)&((h>w)|~((w|h))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(h)
|
((w&h)|h)
| 0 | 0 | 0 | 0 |
not entailment
|
~(w)
|
((h|~((h|w)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((w>((h&w)>(h>(w&h))))&h)&(h&h)))
|
((h>w)&((h|((~((h&h))|h)>h))>(h|(h>h))))
| 1 | 0 | 1 | 1 |
entailment
|
~(w)
|
((h>w)&((h|((~((h&h))|h)>h))>(h|(h>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((w>((h&w)>(h>(w&h))))&h)&(h&h)))
|
((h|~((h|w)))|h)
| 0 | 1 | 1 | 1 |
not entailment
|
~((w>h))
|
~((((((h|h)|w)|w)&h)&((h>w)|w)))
| 1 | 0 | 1 | 0 |
entailment
|
(h&w)
|
(w>(h&h))
| 1 | 0 | 1 | 0 |
entailment
|
~((w>h))
|
(w>(h&h))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&w)
|
~((((((h|h)|w)|w)&h)&((h>w)|w)))
| 0 | 0 | 1 | 0 |
not entailment
|
(w&w)
|
(((h&w)>w)>w)
| 1 | 0 | 0 | 0 |
entailment
|
(h|h)
|
(h|((((w>h)>h)>~(w))&w))
| 1 | 0 | 0 | 0 |
entailment
|
(w&w)
|
(h|((((w>h)>h)>~(w))&w))
| 0 | 0 | 0 | 0 |
not entailment
|
(h|h)
|
(((h&w)>w)>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((h&h)&~(w))|~((w|w))))&(w&(h|w)))
|
(w&(~((w&h))>((h&h)|w)))
| 1 | 1 | 1 | 1 |
entailment
|
~(h)
|
~((w&~((((w|h)&h)>(~(w)&h)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((h&h)&~(w))|~((w|w))))&(w&(h|w)))
|
~((w&~((((w|h)&h)>(~(w)&h)))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(h)
|
(w&(~((w&h))>((h&h)|w)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|w)&((h&w)&(h&h)))
|
(((w>~(h))|w)&w)
| 1 | 1 | 1 | 0 |
entailment
|
(~((w|h))&(((w|w)>~(w))>~(w)))
|
(h>~((h>w)))
| 1 | 1 | 1 | 0 |
entailment
|
((w|w)&((h&w)&(h&h)))
|
(h>~((h>w)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((w|h))&(((w|w)>~(w))>~(w)))
|
(((w>~(h))|w)&w)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((w|~(h))>(w>h)))
|
(~((h>w))|w)
| 1 | 1 | 1 | 0 |
entailment
|
(((h|w)|w)>(~(~(w))>h))
|
((w>w)>(w>(w>h)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((w|~(h))>(w>h)))
|
((w>w)>(w>(w>h)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((h|w)|w)>(~(~(w))>h))
|
(~((h>w))|w)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((w>(w>w))))&(~(h)|w))
|
(h>w)
| 1 | 1 | 1 | 1 |
entailment
|
(w|(h|h))
|
(w|(w|h))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((w>(w>w))))&(~(h)|w))
|
(w|(w|h))
| 0 | 1 | 1 | 0 |
not entailment
|
(w|(h|h))
|
(h>w)
| 0 | 1 | 1 | 0 |
not entailment
|
((f|~((~(y)|(f|f))))&y)
|
((y|((f>h)&j))|(h>i))
| 1 | 1 | 0 | 0 |
entailment
|
(((((y>i)|h)&h)>(y>~(~(j))))>(~(y)&h))
|
(i|h)
| 1 | 1 | 1 | 1 |
entailment
|
((f|~((~(y)|(f|f))))&y)
|
(i|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((y>i)|h)&h)>(y>~(~(j))))>(~(y)&h))
|
((y|((f>h)&j))|(h>i))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&f)
|
((j&(f|f))|(((f|i)&f)|((f|y)|(i>h))))
| 1 | 0 | 0 | 0 |
entailment
|
((j&~(y))&j)
|
((i|~(i))>(~(y)&j))
| 1 | 0 | 0 | 0 |
entailment
|
(f&f)
|
((i|~(i))>(~(y)&j))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&~(y))&j)
|
((j&(f|f))|(((f|i)&f)|((f|y)|(i>h))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y|i))
|
((h>(j|(j|f)))|(i|~((f|y))))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~((i|j)))
|
(((f&f)|h)|(f&j))
| 1 | 0 | 0 | 0 |
entailment
|
~((y|i))
|
(((f&f)|h)|(f&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~((i|j)))
|
((h>(j|(j|f)))|(i|~((f|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(h>((y|f)&~((~((h>h))>(j>j)))))
|
(((f|y)|((f>j)&i))>~(((h&h)&(y&y))))
| 1 | 0 | 0 | 0 |
entailment
|
(((j>i)&y)&(((j&j)|f)>(j>(f>h))))
|
((y|j)|f)
| 1 | 1 | 1 | 0 |
entailment
|
(h>((y|f)&~((~((h>h))>(j>j)))))
|
((y|j)|f)
| 0 | 1 | 1 | 1 |
not entailment
|
(((j>i)&y)&(((j&j)|f)>(j>(f>h))))
|
(((f|y)|((f>j)&i))>~(((h&h)&(y&y))))
| 0 | 0 | 1 | 0 |
not entailment
|
(i&~(~(y)))
|
(~(j)>(i|~(~((y&(j&j))))))
| 1 | 0 | 0 | 0 |
entailment
|
((h>(~(~((f&y)))>i))&~(~(~(h))))
|
((y>f)>(h>((h>h)&~(h))))
| 1 | 1 | 1 | 0 |
entailment
|
(i&~(~(y)))
|
((y>f)>(h>((h>h)&~(h))))
| 0 | 0 | 0 | 0 |
not entailment
|
((h>(~(~((f&y)))>i))&~(~(~(h))))
|
(~(j)>(i|~(~((y&(j&j))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f|h))
|
((((y>~(f))&h)&(j&y))|~(~((f>i))))
| 1 | 0 | 0 | 0 |
entailment
|
((j&y)|((f&(j&~(j)))&(f&f)))
|
(~(((f>(i>f))|j))|j)
| 1 | 1 | 0 | 0 |
entailment
|
~((f|h))
|
(~(((f>(i>f))|j))|j)
| 0 | 0 | 0 | 0 |
not entailment
|
((j&y)|((f&(j&~(j)))&(f&f)))
|
((((y>~(f))&h)&(j&y))|~(~((f>i))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((j>j)|(f|h))&~(((h|i)|f)))
|
((j>(((y&i)&f)&y))>~((i&(f|j))))
| 1 | 0 | 0 | 0 |
entailment
|
((j|(f&(y&j)))&(((i>i)>f)>(i|~((j&f)))))
|
((j|((h|(y>f))>y))|~(~((i&((j>i)|i)))))
| 1 | 1 | 0 | 0 |
entailment
|
(((j>j)|(f|h))&~(((h|i)|f)))
|
((j|((h|(y>f))>y))|~(~((i&((j>i)|i)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j|(f&(y&j)))&(((i>i)>f)>(i|~((j&f)))))
|
((j>(((y&i)&f)&y))>~((i&(f|j))))
| 0 | 1 | 1 | 0 |
not entailment
|
(h&~((j|(f|y))))
|
(~(((h|y)&i))|~(y))
| 1 | 0 | 0 | 0 |
entailment
|
(((f&y)|y)&y)
|
(~(~(~(y)))>(((h>i)&j)|i))
| 1 | 0 | 0 | 0 |
entailment
|
(h&~((j|(f|y))))
|
(~(~(~(y)))>(((h>i)&j)|i))
| 0 | 0 | 0 | 0 |
not entailment
|
(((f&y)|y)&y)
|
(~(((h|y)&i))|~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(~(~((y&f)))))))
|
((h>(f&y))|i)
| 1 | 1 | 0 | 0 |
entailment
|
(f&((y>((i>j)>h))>~(y)))
|
(i>~(((y&(~(i)|h))&((j&h)|h))))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(~(~(~((y&f)))))))
|
(i>~(((y&(~(i)|h))&((j&h)|h))))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&((y>((i>j)>h))>~(y)))
|
((h>(f&y))|i)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((y|~((f|i)))&f))>(j&i))
|
(((i|f)|(y|h))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(f)>h))
|
((((h&j)|(h&f))|~((y>~(h))))>~(j))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((y|~((f|i)))&f))>(j&i))
|
((((h&j)|(h&f))|~((y>~(h))))>~(j))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(f)>h))
|
(((i|f)|(y|h))|y)
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((i|~(j)))>h))
|
~(~(((~(f)>~(h))|i)))
| 1 | 0 | 0 | 0 |
entailment
|
((i>j)&((h&y)&h))
|
(~(~((i|h)))|((h&j)&(i|(h>i))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~((i|~(j)))>h))
|
(~(~((i|h)))|((h&j)&(i|(h>i))))
| 0 | 0 | 1 | 0 |
not entailment
|
((i>j)&((h&y)&h))
|
~(~(((~(f)>~(h))|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
((h&(h|(i|i)))&(~(j)|~(h)))
|
~(((~(i)&j)&((j&j)&y)))
| 1 | 1 | 0 | 0 |
entailment
|
((f|f)|~(~(~(((h>f)|(y>y))))))
|
(f|(y&~(f)))
| 1 | 1 | 1 | 1 |
entailment
|
((h&(h|(i|i)))&(~(j)|~(h)))
|
(f|(y&~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f|f)|~(~(~(((h>f)|(y>y))))))
|
~(((~(i)&j)&((j&j)&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((h|j)&f)>y))
|
(i|(((f|(h|j))&y)>(~((h>h))&(j>j))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((y&h)))
|
(((h&h)|i)>((((f|j)>y)|j)|~(h)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((h|j)&f)>y))
|
(((h&h)|i)>((((f|j)>y)|j)|~(h)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((y&h)))
|
(i|(((f|(h|j))&y)>(~((h>h))&(j>j))))
| 0 | 0 | 0 | 0 |
not entailment
|
(j&h)
|
(j&(((f&i)>(i>f))>((h>h)|i)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((~(~((i>i)))&f)))
|
(~((f|f))>(h>f))
| 1 | 1 | 0 | 0 |
entailment
|
(j&h)
|
(~((f|f))>(h>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(~((i>i)))&f)))
|
(j&(((f&i)>(i>f))>((h>h)|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i>j))
|
(~((y>((~(j)>i)|f)))>i)
| 1 | 0 | 0 | 0 |
entailment
|
(~(i)&~((h|f)))
|
~((i&f))
| 1 | 1 | 1 | 1 |
entailment
|
~((i>j))
|
~((i&f))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(i)&~((h|f)))
|
(~((y>((~(j)>i)|f)))>i)
| 0 | 0 | 0 | 0 |
not entailment
|
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