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 |
|---|---|---|---|---|---|---|
(g&~(~(e)))
|
(i|~(~((y>(g>(h&i))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&i)
|
(y|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(e|e)
|
((v&~((e&(w>~(h)))))>((h&e)&e))
| 1 | 0 | 0 | 0 |
entailment
|
~(e)
|
(~((e>w))>(i&((i|i)&(e>w))))
| 1 | 0 | 0 | 0 |
entailment
|
(e|e)
|
(~((e>w))>(i&((i|i)&(e>w))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(e)
|
((v&~((e&(w>~(h)))))>((h&e)&e))
| 0 | 0 | 0 | 0 |
not entailment
|
((((i|e)&y)|(~(w)&h))&~((w>i)))
|
(y&e)
| 1 | 1 | 1 | 1 |
entailment
|
(v|v)
|
(v|~((i|(y&w))))
| 1 | 0 | 0 | 0 |
entailment
|
((((i|e)&y)|(~(w)&h))&~((w>i)))
|
(v|~((i|(y&w))))
| 0 | 1 | 0 | 0 |
not entailment
|
(v|v)
|
(y&e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(w)>~(y))&w)>~(~(~((y|y))))))
|
(((g>(y|e))|v)&(w|~((h>v))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(h)&(g&e))>~(((e>i)>~(i))))>v))
|
(v>(g|h))
| 1 | 1 | 1 | 0 |
entailment
|
~((((~(w)>~(y))&w)>~(~(~((y|y))))))
|
(v>(g|h))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(h)&(g&e))>~(((e>i)>~(i))))>v))
|
(((g>(y|e))|v)&(w|~((h>v))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(((v|y)>~((g>w))))&h)&~((i|v)))&w)
|
~(~(((y&y)|((w|e)>(v|g)))))
| 1 | 1 | 0 | 0 |
entailment
|
~(h)
|
~((h&(y|((~(h)|h)&(g&~(h))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(((v|y)>~((g>w))))&h)&~((i|v)))&w)
|
~((h&(y|((~(h)|h)&(g&~(h))))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(h)
|
~(~(((y&y)|((w|e)>(v|g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(((f&r)|(d>y)))|~((y>h)))|g))
|
(d|(h|(g>d)))
| 1 | 1 | 1 | 0 |
entailment
|
(((((h|(r|y))>d)&(h>g))|g)&o)
|
(~((r&~((o|~(f)))))|g)
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(((f&r)|(d>y)))|~((y>h)))|g))
|
(~((r&~((o|~(f)))))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((h|(r|y))>d)&(h>g))|g)&o)
|
(d|(h|(g>d)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((f>d)|~((h|h))))
|
(((f>d)|(d|d))>(y&g))
| 1 | 1 | 0 | 0 |
entailment
|
(((d>y)|~((y&(o|d))))>o)
|
(~(o)>(h>o))
| 1 | 1 | 0 | 0 |
entailment
|
~(((f>d)|~((h|h))))
|
(~(o)>(h>o))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d>y)|~((y&(o|d))))>o)
|
(((f>d)|(d|d))>(y&g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((f>h))
|
(y>f)
| 1 | 1 | 0 | 0 |
entailment
|
(~((d>(~(~(r))&(o|r))))&g)
|
(~(~(((f>d)|h)))&~(~((r>d))))
| 1 | 0 | 0 | 0 |
entailment
|
~((f>h))
|
(~(~(((f>d)|h)))&~(~((r>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((d>(~(~(r))&(o|r))))&g)
|
(y>f)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(o))
|
(o|(d|o))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((g&~(o))&(d>~((h>h))))))
|
~(o)
| 1 | 1 | 1 | 1 |
entailment
|
~(~(((g&~(o))&(d>~((h>h))))))
|
(o|(d|o))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((((f|f)|(r>r))&f)&((g>h)|g)))
|
(~((f&r))|((h&(d&o))&(r>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((h|(d|d))&d)
|
(r>(d|h))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((f|f)|(r>r))&f)&((g>h)|g)))
|
(r>(d|h))
| 0 | 1 | 0 | 0 |
not entailment
|
((h|(d|d))&d)
|
(~((f&r))|((h&(d&o))&(r>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f>r)&g)|(~(g)>(r|h))))
|
~(((h&(y|r))&~((((f&d)&g)>~(f)))))
| 1 | 0 | 0 | 0 |
entailment
|
~((r>(y&(h>r))))
|
(((h|(o&d))&h)|(((r>y)>d)|g))
| 1 | 0 | 0 | 0 |
entailment
|
~((((f>r)&g)|(~(g)>(r|h))))
|
(((h|(o&d))&h)|(((r>y)>d)|g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((r>(y&(h>r))))
|
~(((h&(y|r))&~((((f&d)&g)>~(f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((d|f)&~(((y|g)&d)))&(d&r))&h)
|
~(((((g>f)|~(r))&(r|o))>((f&d)&(h>g))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&g)
|
(r>(h>g))
| 1 | 0 | 0 | 0 |
entailment
|
((((d|f)&~(((y|g)&d)))&(d&r))&h)
|
(r>(h>g))
| 0 | 1 | 1 | 0 |
not entailment
|
(g&g)
|
~(((((g>f)|~(r))&(r|o))>((f&d)&(h>g))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(r)
|
(g>(r>f))
| 1 | 0 | 0 | 0 |
entailment
|
(r&y)
|
(d>(y>(g>r)))
| 1 | 0 | 0 | 0 |
entailment
|
~(r)
|
(d>(y>(g>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&y)
|
(g>(r>f))
| 0 | 0 | 0 | 0 |
not entailment
|
(h&~((~((((h>g)|(y&h))&f))|(r>y))))
|
(~(r)>(~(h)|(y>g)))
| 1 | 1 | 1 | 1 |
entailment
|
~((d>r))
|
(((o|d)|~(((((f>f)|d)|y)&g)))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(h&~((~((((h>g)|(y&h))&f))|(r>y))))
|
(((o|d)|~(((((f>f)|d)|y)&g)))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>r))
|
(~(r)>(~(h)|(y>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((~(d)&(r&r))))
|
~((d&y))
| 1 | 1 | 0 | 0 |
entailment
|
~(((g>((h|f)>~(((h>d)>y))))>(g>~(g))))
|
((g&(g>h))|g)
| 1 | 1 | 1 | 0 |
entailment
|
~(~((~(d)&(r&r))))
|
((g&(g>h))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((g>((h|f)>~(((h>d)>y))))>(g>~(g))))
|
~((d&y))
| 0 | 1 | 1 | 0 |
not entailment
|
(o&~(~(~((f&(~(((f|r)&~(o)))>y))))))
|
(((y&((g|d)&f))&d)>(~(h)>((o|f)>r)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((~((r>h))&((y>y)>f)))&((y&o)&(d|d)))
|
((~(~(~(r)))|(d|h))|h)
| 1 | 1 | 1 | 1 |
entailment
|
(o&~(~(~((f&(~(((f|r)&~(o)))>y))))))
|
((~(~(~(r)))|(d|h))|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((r>h))&((y>y)>f)))&((y&o)&(d|d)))
|
(((y&((g|d)&f))&d)>(~(h)>((o|f)>r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&(r&(f|g)))&(((g>o)|f)>(o>h)))
|
(r|g)
| 1 | 1 | 1 | 1 |
entailment
|
(((y>h)&((r|h)&(r>r)))&(y&((o|g)&(y|h))))
|
(g>(y&y))
| 1 | 1 | 1 | 0 |
entailment
|
((o&(r&(f|g)))&(((g>o)|f)>(o>h)))
|
(g>(y&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y>h)&((r|h)&(r>r)))&(y&((o|g)&(y|h))))
|
(r|g)
| 0 | 1 | 1 | 1 |
not entailment
|
(r&(r&y))
|
(d|~(~((r|f))))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
(f>(((f>(h&d))>~(f))&(~(f)>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(r&y))
|
(f>(((f>(h&d))>~(f))&(~(f)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
(d|~(~((r|f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g&g))
|
~((((h|y)&((h|y)&~((g>r))))&(y|f)))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>o))
|
(~(f)|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((g&g))
|
(~(f)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y>o))
|
~((((h|y)&((h|y)&~((g>r))))&(y|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g|y))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
~((d|((~(r)|o)&~(~(~(d))))))
|
((o>(h|y))|d)
| 1 | 1 | 0 | 0 |
entailment
|
~((g|y))
|
((o>(h|y))|d)
| 0 | 0 | 0 | 0 |
not entailment
|
~((d|((~(r)|o)&~(~(~(d))))))
|
~(y)
| 0 | 1 | 0 | 0 |
not entailment
|
((h>(y>d))>(~((h&y))&(y&y)))
|
(~(g)|y)
| 1 | 1 | 0 | 0 |
entailment
|
(~((~(((d&r)|r))|o))&(f|f))
|
((~(~(((g|h)&h)))>(g>r))|(h&o))
| 1 | 0 | 0 | 0 |
entailment
|
((h>(y>d))>(~((h&y))&(y&y)))
|
((~(~(((g|h)&h)))>(g>r))|(h&o))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(((d&r)|r))|o))&(f|f))
|
(~(g)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(o))&y)&(y|(((f>(y>g))&g)&f)))
|
((d>(f>f))&(((f>h)>(f>(d>y)))&~(~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((r|o)|(r|o)))
|
~(~((~(d)>(g|r))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(o))&y)&(y|(((f>(y>g))&g)&f)))
|
~(~((~(d)>(g|r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&((r|o)|(r|o)))
|
((d>(f>f))&(((f>h)>(f>(d>y)))&~(~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&~((f&(~(y)|~((~(o)|(h>g)))))))
|
((d&g)>o)
| 1 | 1 | 1 | 0 |
entailment
|
((((d&g)&((g&h)|y))&y)|(y&r))
|
(h>(y|~(~((f&~(~(d)))))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(d)&~((f&(~(y)|~((~(o)|(h>g)))))))
|
(h>(y|~(~((f&~(~(d)))))))
| 0 | 1 | 1 | 0 |
not entailment
|
((((d&g)&((g&h)|y))&y)|(y&r))
|
((d&g)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
((((h&h)&d)&f)&(g>((r|r)&d)))
|
(((o|~(~(d)))|g)>(f|h))
| 1 | 1 | 0 | 0 |
entailment
|
~((g&(g&(r>d))))
|
(d>(g>~((g&~((r>y))))))
| 1 | 0 | 0 | 0 |
entailment
|
((((h&h)&d)&f)&(g>((r|r)&d)))
|
(d>(g>~((g&~((r>y))))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((g&(g&(r>d))))
|
(((o|~(~(d)))|g)>(f|h))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((d|r))|d)>~(((y>f)|r)))
|
((~(y)>r)|~((~((h>d))|r)))
| 1 | 1 | 0 | 0 |
entailment
|
((g|((y>~(y))|g))>~((g|r)))
|
((g&y)>(h>o))
| 1 | 1 | 0 | 0 |
entailment
|
((~((d|r))|d)>~(((y>f)|r)))
|
((g&y)>(h>o))
| 0 | 1 | 0 | 0 |
not entailment
|
((g|((y>~(y))|g))>~((g|r)))
|
((~(y)>r)|~((~((h>d))|r)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|c)|~(c))>(c&(~((c>c))>(c&c))))
|
(c&((c>(c&~(c)))>c))
| 1 | 1 | 1 | 1 |
entailment
|
~(((c&c)|c))
|
(c>~((c|((c&c)&~(c)))))
| 1 | 0 | 1 | 0 |
entailment
|
(((c|c)|~(c))>(c&(~((c>c))>(c&c))))
|
(c>~((c|((c&c)&~(c)))))
| 0 | 1 | 1 | 1 |
not entailment
|
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