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 |
|---|---|---|---|---|---|---|
((h&~(w))&(h|((f>f)>((h&f)&w))))
|
(~((h>w))>w)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(f)>(((h>w)|(h|w))>~(~(h)))))
|
~((f&((f>h)|h)))
| 1 | 1 | 1 | 0 |
entailment
|
(h&(h>w))
|
(~(((h|(f|h))>w))|w)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(f)>(((h>w)|(h|w))>~(~(h)))))
|
(~(((h|(f|h))>w))|w)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(h>w))
|
~((f&((f>h)|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
(w|w)
|
(w&w)
| 1 | 1 | 1 | 1 |
entailment
|
((w|h)>((((h&(h&w))&f)&h)|~(~(f))))
|
((w&h)>(f&(w|(w>f))))
| 1 | 1 | 1 | 1 |
entailment
|
(w|w)
|
((w&h)>(f&(w|(w>f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w|h)>((((h&(h&w))&f)&h)|~(~(f))))
|
(w&w)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((h>(w|((h|w)&f))))|(~(f)&h))
|
(((((w|h)>h)&f)|((h>w)&w))|h)
| 1 | 1 | 1 | 0 |
entailment
|
(~(w)&((w&f)>(f>(h|(h&w)))))
|
((w|f)>((~((~((w>w))|h))&f)|~(w)))
| 1 | 0 | 1 | 0 |
entailment
|
(~((h>(w|((h|w)&f))))|(~(f)&h))
|
((w|f)>((~((~((w>w))|h))&f)|~(w)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(w)&((w&f)>(f>(h|(h&w)))))
|
(((((w|h)>h)&f)|((h>w)&w))|h)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((f>w)>(~(~(~(((h|~(f))>h))))|h)))
|
~((~(h)>h))
| 1 | 1 | 1 | 1 |
entailment
|
(h&(w&(((f|f)|w)|w)))
|
~(((~(~(f))>(h>~(w)))&(f|~((f|w)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(((f>w)>(~(~(~(((h|~(f))>h))))|h)))
|
~(((~(~(f))>(h>~(w)))&(f|~((f|w)))))
| 0 | 1 | 1 | 1 |
not entailment
|
(h&(w&(((f|f)|w)|w)))
|
~((~(h)>h))
| 0 | 1 | 1 | 0 |
not entailment
|
((f&w)&~(h))
|
(w>f)
| 1 | 1 | 1 | 0 |
entailment
|
((w&(f>f))&~(f))
|
~(((f&(h>(f>f)))|~((f>(w>h)))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&w)&~(h))
|
~(((f&(h>(f>f)))|~((f>(w>h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((w&(f>f))&~(f))
|
(w>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(h&(((h|(f&f))|~(w))&f))
|
(f|~((f|w)))
| 1 | 1 | 1 | 0 |
entailment
|
((((w>f)>w)&(f|~(f)))&h)
|
~(((w>~((w|(h>w))))&(w>~((w>h)))))
| 1 | 0 | 1 | 0 |
entailment
|
(h&(((h|(f&f))|~(w))&f))
|
~(((w>~((w|(h>w))))&(w>~((w>h)))))
| 0 | 0 | 1 | 0 |
not entailment
|
((((w>f)>w)&(f|~(f)))&h)
|
(f|~((f|w)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f>h)&~((f|w)))&h)
|
(~(h)>~(w))
| 1 | 1 | 1 | 1 |
entailment
|
~((~(~(h))|(f>(f&h))))
|
~(~((~((f>w))|f)))
| 1 | 1 | 0 | 0 |
entailment
|
(((f>h)&~((f|w)))&h)
|
~(~((~((f>w))|f)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(~(h))|(f>(f&h))))
|
(~(h)>~(w))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&~(w))
|
(((f>f)>f)|h)
| 1 | 0 | 0 | 0 |
entailment
|
(h>(f&f))
|
((h>(w&(w|w)))|f)
| 1 | 0 | 0 | 0 |
entailment
|
(h&~(w))
|
((h>(w&(w|w)))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(h>(f&f))
|
(((f>f)>f)|h)
| 0 | 0 | 1 | 0 |
not entailment
|
(((h>f)&((w>f)&(f|f)))&(f&(f&(h|(h|f)))))
|
((f>h)>f)
| 1 | 1 | 1 | 1 |
entailment
|
~((f|h))
|
((h|(h|h))>((~(f)>(f&f))>w))
| 1 | 0 | 0 | 0 |
entailment
|
(((h>f)&((w>f)&(f|f)))&(f&(f&(h|(h|f)))))
|
((h|(h|h))>((~(f)>(f&f))>w))
| 0 | 1 | 1 | 0 |
not entailment
|
~((f|h))
|
((f>h)>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~(f))|f)
|
(~((w>(h>(h>h))))|f)
| 1 | 0 | 0 | 0 |
entailment
|
~((((w&(w&w))&h)|(h>f)))
|
((f&(f|h))>(h&w))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(f))|f)
|
((f&(f|h))>(h&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((w&(w&w))&h)|(h>f)))
|
(~((w>(h>(h>h))))|f)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((a>r)>r))>z))
|
((((w>((r|r)|a))|r)>(a|~(a)))>~(z))
| 1 | 0 | 0 | 0 |
entailment
|
((w&w)&k)
|
(k|(w&(a&k)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((a>r)>r))>z))
|
(k|(w&(a&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w&w)&k)
|
((((w>((r|r)|a))|r)>(a|~(a)))>~(z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~((a|r))|a)&~((r>z)))&(f>w))
|
(~(~((f|z)))>(r|(k>~(k))))
| 1 | 1 | 0 | 0 |
entailment
|
(~((z>~(~((r>z)))))|k)
|
(~((((r&a)>~((r>(f|f))))&(k>r)))|k)
| 1 | 0 | 0 | 0 |
entailment
|
(((~((a|r))|a)&~((r>z)))&(f>w))
|
(~((((r&a)>~((r>(f|f))))&(k>r)))|k)
| 0 | 0 | 0 | 0 |
not entailment
|
(~((z>~(~((r>z)))))|k)
|
(~(~((f|z)))>(r|(k>~(k))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((a>(k|z))|(a>f))&w)))
|
(a|((r>a)|w))
| 1 | 1 | 0 | 0 |
entailment
|
(~(k)>k)
|
(~((z&r))>k)
| 1 | 0 | 0 | 0 |
entailment
|
~(~((((a>(k|z))|(a>f))&w)))
|
(~((z&r))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(k)>k)
|
(a|((r>a)|w))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((k&f))&~(~(((r&~(r))|r))))
|
(w|(a|r))
| 1 | 1 | 0 | 0 |
entailment
|
(((z|r)&~(w))&((k>f)|(r|a)))
|
~((~(((w>k)|a))&(~(~((k>(k|f))))&r)))
| 1 | 0 | 1 | 0 |
entailment
|
(~((k&f))&~(~(((r&~(r))|r))))
|
~((~(((w>k)|a))&(~(~((k>(k|f))))&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((z|r)&~(w))&((k>f)|(r|a)))
|
(w|(a|r))
| 0 | 1 | 1 | 0 |
not entailment
|
(w&~(((a|a)&(~(z)&w))))
|
(~(w)>a)
| 1 | 1 | 1 | 0 |
entailment
|
((w|z)&f)
|
(k>((z|f)|(~(k)&(z>w))))
| 1 | 0 | 0 | 0 |
entailment
|
(w&~(((a|a)&(~(z)&w))))
|
(k>((z|f)|(~(k)&(z>w))))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|z)&f)
|
(~(w)>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(r&(k>w))
|
(((r|r)|((z&(~((a>w))|w))>a))|~(k))
| 1 | 0 | 0 | 0 |
entailment
|
((k&z)&((k&~((w>a)))&(z&f)))
|
(~((z&k))>(z|((k>(k>f))>(r>a))))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(k>w))
|
(~((z&k))>(z|((k>(k>f))>(r>a))))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&z)&((k&~((w>a)))&(z&f)))
|
(((r|r)|((z&(~((a>w))|w))>a))|~(k))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z&f)>k))
|
~(((((a&w)>(a&r))&(k&r))&~((f&k))))
| 1 | 0 | 0 | 0 |
entailment
|
(((w|z)|(z&f))&r)
|
((a|r)|a)
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&f)>k))
|
((a|r)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|z)|(z&f))&r)
|
~(((((a&w)>(a&r))&(k&r))&~((f&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~((w|z))&f))&((f&a)&(a>~((z&f)))))
|
((a>~(~(k)))|((~((k|r))>f)|((f|z)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a|r)>(f|(a>(z|k)))))
|
~(((~((~(k)>z))&(~((f>r))|(f>r)))&f))
| 1 | 0 | 1 | 0 |
entailment
|
(~((~((w|z))&f))&((f&a)&(a>~((z&f)))))
|
~(((~((~(k)>z))&(~((f>r))|(f>r)))&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|r)>(f|(a>(z|k)))))
|
((a>~(~(k)))|((~((k|r))>f)|((f|z)&k)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(w)>(w|~((z&z))))
|
((z&a)>w)
| 1 | 1 | 0 | 0 |
entailment
|
((~((f&f))|k)>(z&~(((w&k)>(z|(k&w))))))
|
(f&(((k&z)>(((a&z)|k)&~(a)))|r))
| 1 | 1 | 0 | 0 |
entailment
|
(~(w)>(w|~((z&z))))
|
(f&(((k&z)>(((a&z)|k)&~(a)))|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((f&f))|k)>(z&~(((w&k)>(z|(k&w))))))
|
((z&a)>w)
| 0 | 1 | 0 | 0 |
not entailment
|
((k&(k>r))&~((~((w&z))&r)))
|
(k|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(((a>w)|((f&w)|(z>f))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
((k&(k>r))&~((~((w&z))&r)))
|
~(f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>w)|((f&w)|(z>f))))
|
(k|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(k)|f)&((r|((z|z)|z))&(a&a)))
|
(a&a)
| 1 | 1 | 1 | 1 |
entailment
|
((a&z)>f)
|
~(~(~((((z&a)&(r|a))&~(((k|f)|w))))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)|f)&((r|((z|z)|z))&(a&a)))
|
~(~(~((((z&a)&(r|a))&~(((k|f)|w))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((a&z)>f)
|
(a&a)
| 0 | 1 | 1 | 0 |
not entailment
|
((r|w)|~(~((((r>a)&a)&(~(k)>(f&k))))))
|
(r|((((k&a)|w)|(z&a))|~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
((a&(k>f))&a)
|
(a|(w>z))
| 1 | 1 | 0 | 0 |
entailment
|
((r|w)|~(~((((r>a)&a)&(~(k)>(f&k))))))
|
(a|(w>z))
| 0 | 1 | 0 | 0 |
not entailment
|
((a&(k>f))&a)
|
(r|((((k&a)|w)|(z&a))|~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((r&a)>((f>~(~((f&w))))|(w&w))))
|
((z&(w>a))>a)
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(f))|a)&k)
|
((a>z)|k)
| 1 | 1 | 0 | 0 |
entailment
|
~(((r&a)>((f>~(~((f&w))))|(w&w))))
|
((a>z)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(f))|a)&k)
|
((z&(w>a))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((z&r))&(((~(f)>f)&(a|~(f)))&r))
|
(~((z&r))&(k|(~(z)>a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((k>(~(a)|w)))
|
(w>k)
| 1 | 1 | 1 | 1 |
entailment
|
(~((z&r))&(((~(f)>f)&(a|~(f)))&r))
|
(w>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>(~(a)|w)))
|
(~((z&r))&(k|(~(z)>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&a)&w)
|
(a|z)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(r)))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
((w&a)&w)
|
~(r)
| 0 | 1 | 0 | 0 |
not entailment
|
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