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 |
|---|---|---|---|---|---|---|
(m&(c&m))
|
(m|(z>(v>c)))
| 1 | 0 | 0 | 0 |
entailment
|
((((z|m)&g)&~(i))&((z>d)>d))
|
((~(g)&(z>c))>v)
| 1 | 1 | 0 | 0 |
entailment
|
(m&(c&m))
|
((~(g)&(z>c))>v)
| 0 | 0 | 0 | 0 |
not entailment
|
((((z|m)&g)&~(i))&((z>d)>d))
|
(m|(z>(v>c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((g&(z|g)))>g)|(~(~((g>d)))>g))
|
(~((~(((z>c)&v))>(z|c)))>(d|g))
| 1 | 1 | 0 | 0 |
entailment
|
(~((i|(g|z)))&(~(z)|~((d&g))))
|
(i>v)
| 1 | 1 | 0 | 0 |
entailment
|
((~((g&(z|g)))>g)|(~(~((g>d)))>g))
|
(i>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((i|(g|z)))&(~(z)|~((d&g))))
|
(~((~(((z>c)&v))>(z|c)))>(d|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(g|c)
|
(z>(g|c))
| 1 | 0 | 0 | 0 |
entailment
|
(m&~(((((d>v)&(i&c))|(z&d))&g)))
|
(((c&(i|c))>(g>m))|(~(d)>v))
| 1 | 1 | 1 | 0 |
entailment
|
(g|c)
|
(((c&(i|c))>(g>m))|(~(d)>v))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&~(((((d>v)&(i&c))|(z&d))&g)))
|
(z>(g|c))
| 0 | 1 | 1 | 0 |
not entailment
|
~((m|~(l)))
|
((y|m)>(y|((f>f)>l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(l)&r)
|
(~(l)|~((r>((r>z)&n))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m|~(l)))
|
(~(l)|~((r>((r>z)&n))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(l)&r)
|
((y|m)>(y|((f>f)>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(n)>m))
|
(((f>f)&(m>~((y&n))))|(z&n))
| 1 | 0 | 0 | 0 |
entailment
|
~(((z|y)>r))
|
(~((y>l))|(r>l))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(n)>m))
|
(~((y>l))|(r>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((z|y)>r))
|
(((f>f)&(m>~((y&n))))|(z&n))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(f)|(n>y))>((f&(n|r))&~(((m&f)>f))))
|
((z>(r>n))&~(((n>(r&~(r)))&(r&z))))
| 1 | 1 | 0 | 0 |
entailment
|
(r&((f&y)|(f|f)))
|
((f|f)&(r|r))
| 1 | 1 | 1 | 1 |
entailment
|
((~(f)|(n>y))>((f&(n|r))&~(((m&f)>f))))
|
((f|f)&(r|r))
| 0 | 1 | 1 | 1 |
not entailment
|
(r&((f&y)|(f|f)))
|
((z>(r>n))&~(((n>(r&~(r)))&(r&z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(z&(f|(((~(n)>(l|l))|f)&l)))
|
(~(y)>(((n>y)&m)>z))
| 1 | 1 | 0 | 0 |
entailment
|
~(r)
|
(r>((m|(f&(r&l)))|(f>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(z&(f|(((~(n)>(l|l))|f)&l)))
|
(r>((m|(f&(r&l)))|(f>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(r)
|
(~(y)>(((n>y)&m)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>l)>~((y&~(r))))&~(n))
|
~(n)
| 1 | 1 | 1 | 1 |
entailment
|
(((r>(~(m)>(m>z)))>l)&m)
|
(m|l)
| 1 | 1 | 1 | 1 |
entailment
|
(((m>l)>~((y&~(r))))&~(n))
|
(m|l)
| 0 | 1 | 1 | 0 |
not entailment
|
(((r>(~(m)>(m>z)))>l)&m)
|
~(n)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(l)&r)>~((m|n))))
|
(((l&l)&~(m))>~((~(m)>n)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(r)&((f&(l&l))&(n&f)))
|
~((~(n)&~(z)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(l)&r)>~((m|n))))
|
~((~(n)&~(z)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(r)&((f&(l&l))&(n&f)))
|
(((l&l)&~(m))>~((~(m)>n)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l|(((~(n)&r)>y)>(~(f)|l))))
|
(f|(y&(~(n)>r)))
| 1 | 1 | 1 | 0 |
entailment
|
~((((f&n)>((f|y)&((n>r)|f)))>~((r|l))))
|
(~(~(n))>((r|~((~(z)>l)))|l))
| 1 | 1 | 0 | 0 |
entailment
|
~((l|(((~(n)&r)>y)>(~(f)|l))))
|
(~(~(n))>((r|~((~(z)>l)))|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f&n)>((f|y)&((n>r)|f)))>~((r|l))))
|
(f|(y&(~(n)>r)))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&z)
|
(l|((n&r)|m))
| 1 | 0 | 0 | 0 |
entailment
|
((f|r)&~(((~(y)&y)&~((y|(m>z))))))
|
(((f|r)|~(m))|((y>r)|r))
| 1 | 1 | 1 | 1 |
entailment
|
(m&z)
|
(((f|r)|~(m))|((y>r)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((f|r)&~(((~(y)&y)&~((y|(m>z))))))
|
(l|((n&r)|m))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m>n))
|
~((~(((y>f)>m))&~(l)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~(n)))&(((n|m)>r)>((r>n)&z)))
|
(~(((l|(f&r))>(r|~(z))))|~(~(~(r))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>n))
|
(~(((l|(f&r))>(r|~(z))))|~(~(~(r))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~(n)))&(((n|m)>r)>((r>n)&z)))
|
~((~(((y>f)>m))&~(l)))
| 0 | 1 | 0 | 0 |
not entailment
|
((l&m)&(f&f))
|
(m>(n>(l&f)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((r&(r|~(z))))&(f&z))
|
(z&(y>(~(f)>l)))
| 1 | 1 | 0 | 0 |
entailment
|
((l&m)&(f&f))
|
(z&(y>(~(f)>l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r&(r|~(z))))&(f&z))
|
(m>(n>(l&f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((l&f)&(n|y))&((~(((n|f)>y))|r)&z))
|
(r>f)
| 1 | 1 | 1 | 0 |
entailment
|
((l>(m&n))>(~(m)&~((n|(z&l)))))
|
((m&n)>~((y|((y>n)>m))))
| 1 | 1 | 0 | 0 |
entailment
|
(((l&f)&(n|y))&((~(((n|f)>y))|r)&z))
|
((m&n)>~((y|((y>n)>m))))
| 0 | 1 | 0 | 0 |
not entailment
|
((l>(m&n))>(~(m)&~((n|(z&l)))))
|
(r>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&f)
|
(l|(~(((y&l)>m))|~((l|m))))
| 1 | 0 | 0 | 0 |
entailment
|
((n>z)&m)
|
(((n|l)&y)>(l>m))
| 1 | 0 | 0 | 0 |
entailment
|
(l&f)
|
(((n|l)&y)>(l>m))
| 0 | 0 | 0 | 0 |
not entailment
|
((n>z)&m)
|
(l|(~(((y&l)>m))|~((l|m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(~(((z&(n>f))&(y|y)))&(l|r)))
|
(r|((r&r)|(l|l)))
| 1 | 1 | 1 | 1 |
entailment
|
(z|y)
|
(z|y)
| 1 | 1 | 1 | 1 |
entailment
|
(m&(~(((z&(n>f))&(y|y)))&(l|r)))
|
(z|y)
| 0 | 1 | 1 | 0 |
not entailment
|
(z|y)
|
(r|((r&r)|(l|l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(~(y)&z))
|
((f|y)|((z|m)&r))
| 1 | 0 | 0 | 0 |
entailment
|
(m|y)
|
((f|y)|(z>m))
| 1 | 0 | 0 | 0 |
entailment
|
(r&(~(y)&z))
|
((f|y)|(z>m))
| 0 | 1 | 0 | 0 |
not entailment
|
(m|y)
|
((f|y)|((z|m)&r))
| 0 | 0 | 0 | 0 |
not entailment
|
((r&y)&((~((z>n))>r)>(r>r)))
|
(y|(r|(n&y)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((n|r)|(z&y)))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
((r&y)&((~((z>n))>r)>(r>r)))
|
~(r)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((n|r)|(z&y)))
|
(y|(r|(n&y)))
| 0 | 1 | 1 | 0 |
not entailment
|
(d&((d>b)&b))
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((b|d)&d)|(~(d)>~((d|(b|b))))))
|
~((((d>b)>b)>(b&(d&b))))
| 1 | 1 | 1 | 1 |
entailment
|
(d&((d>b)&b))
|
~((((d>b)>b)>(b&(d&b))))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((b|d)&d)|(~(d)>~((d|(b|b))))))
|
(d&d)
| 0 | 1 | 1 | 1 |
not entailment
|
((((((b>d)&(~(d)>d))>d)&(b&d))>(b&d))&b)
|
((b&(b&b))|(~((d&d))|(b&(b&b))))
| 1 | 1 | 1 | 1 |
entailment
|
(~((((d>b)|(b>d))>b))&~(b))
|
(~(b)|d)
| 1 | 1 | 1 | 1 |
entailment
|
((((((b>d)&(~(d)>d))>d)&(b&d))>(b&d))&b)
|
(~(b)|d)
| 0 | 1 | 1 | 1 |
not entailment
|
(~((((d>b)|(b>d))>b))&~(b))
|
((b&(b&b))|(~((d&d))|(b&(b&b))))
| 0 | 0 | 1 | 1 |
not entailment
|
~(((~(b)|(b&b))&d))
|
(~((~(~(((d&d)|d)))>b))>(b&(b&d)))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((b&b)&b))&(~((b&b))>(d&d)))
|
~(~(((b|b)|d)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(b)|(b&b))&d))
|
~(~(((b|b)|d)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((b&b)&b))&(~((b&b))>(d&d)))
|
(~((~(~(((d&d)|d)))>b))>(b&(b&d)))
| 0 | 0 | 1 | 0 |
not entailment
|
((b&d)|(b|(~((b>d))&(d|~(b)))))
|
((b|((b>d)>b))&(~((b&b))>b))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(~((d|d)))>~((d>(b|(b>d)))))))
|
~(((((d|b)&(b|d))|(b|b))&d))
| 1 | 1 | 1 | 1 |
entailment
|
((b&d)|(b|(~((b>d))&(d|~(b)))))
|
~(((((d|b)&(b|d))|(b|b))&d))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((~(~((d|d)))>~((d>(b|(b>d)))))))
|
((b|((b>d)>b))&(~((b&b))>b))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~(d))&~(~((d>b))))
|
~((b&~(d)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((b>d)|~((~(d)|b))))
|
(d>~((b|((b>d)&b))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(~(d))&~(~((d>b))))
|
(d>~((b|((b>d)&b))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((b>d)|~((~(d)|b))))
|
~((b&~(d)))
| 0 | 1 | 1 | 0 |
not entailment
|
((((d>b)|b)&b)|((((d|d)>d)>d)&(~(d)|b)))
|
((b&b)|d)
| 1 | 1 | 1 | 1 |
entailment
|
~((((b&d)|d)|(d|b)))
|
(~(~((b>(d&(b|(b|d))))))&~(b))
| 1 | 0 | 1 | 0 |
entailment
|
((((d>b)|b)&b)|((((d|d)>d)>d)&(~(d)|b)))
|
(~(~((b>(d&(b|(b|d))))))&~(b))
| 0 | 1 | 1 | 0 |
not entailment
|
~((((b&d)|d)|(d|b)))
|
((b&b)|d)
| 0 | 1 | 1 | 0 |
not entailment
|
(d|(d|d))
|
(d|(b&~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(d))>(~(d)&b))
|
(~(((b>d)&d))|~((d|(b|d))))
| 1 | 0 | 1 | 0 |
entailment
|
(d|(d|d))
|
(~(((b>d)&d))|~((d|(b|d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(d))>(~(d)&b))
|
(d|(b&~(d)))
| 0 | 1 | 1 | 0 |
not entailment
|
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