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 |
|---|---|---|---|---|---|---|
(((k&l)&((k|v)&z))&~(((y&f)&g)))
|
((~((~(k)&(g>(y>v))))>(t|(z|z)))>(l|t))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~((~(y)|k))))
|
((~((~(k)&(g>(y>v))))>(t|(z|z)))>(l|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&l)&((k|v)&z))&~(((y&f)&g)))
|
~(~(y))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(((g>z)>l))|(~(y)|(y&(g|z)))))
|
((g&g)|(l|y))
| 1 | 1 | 1 | 1 |
entailment
|
~(((t&(y&v))|((t>(k|g))|z)))
|
~((((z|t)>z)|z))
| 1 | 1 | 1 | 0 |
entailment
|
~((~(((g>z)>l))|(~(y)|(y&(g|z)))))
|
~((((z|t)>z)|z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((t&(y&v))|((t>(k|g))|z)))
|
((g&g)|(l|y))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&l)&(z&(((l>v)>z)|g)))
|
(g|(((z>z)&f)&(y&(~(g)|y))))
| 1 | 0 | 0 | 0 |
entailment
|
~((t>~(((~(~(y))|v)>~(t)))))
|
(l>~(y))
| 1 | 1 | 0 | 0 |
entailment
|
((g&l)&(z&(((l>v)>z)|g)))
|
(l>~(y))
| 0 | 1 | 0 | 0 |
not entailment
|
~((t>~(((~(~(y))|v)>~(t)))))
|
(g|(((z>z)&f)&(y&(~(g)|y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((t>~(g)))|~(~(g)))
|
(((f>(v>(k&y)))>t)>(((k&(~(y)>v))>y)>g))
| 1 | 0 | 0 | 0 |
entailment
|
((((y>y)|k)|k)>(l|l))
|
((l|k)&((~(y)|f)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(~((t>~(g)))|~(~(g)))
|
((l|k)&((~(y)|f)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
((((y>y)|k)|k)>(l|l))
|
(((f>(v>(k&y)))>t)>(((k&(~(y)>v))>y)>g))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&((~(k)&~(((v>v)>v)))>f))
|
(f|(k>(l|z)))
| 1 | 1 | 0 | 0 |
entailment
|
((v&y)|(v|((y>k)&t)))
|
~(((((g|t)>v)&y)&~((k>v))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&((~(k)&~(((v>v)>v)))>f))
|
~(((((g|t)>v)&y)&~((k>v))))
| 0 | 1 | 0 | 0 |
not entailment
|
((v&y)|(v|((y>k)&t)))
|
(f|(k>(l|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(((z|(f|k))|z))|k)|y))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
((z>~((f>(z&g))))&~((t|(g|v))))
|
~(g)
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(((z|(f|k))|z))|k)|y))
|
~(g)
| 0 | 1 | 0 | 0 |
not entailment
|
((z>~((f>(z&g))))&~((t|(g|v))))
|
~(k)
| 0 | 1 | 0 | 0 |
not entailment
|
((t&l)&(((z>v)|g)&(t&z)))
|
(~(((((z>y)>v)|l)>(t>(g|z))))|(y|t))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~(~((g|y))))>(v>~(f))))
|
(v|(t>k))
| 1 | 1 | 0 | 0 |
entailment
|
((t&l)&(((z>v)|g)&(t&z)))
|
(v|(t>k))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(~((g|y))))>(v>~(f))))
|
(~(((((z>y)>v)|l)>(t>(g|z))))|(y|t))
| 0 | 0 | 0 | 0 |
not entailment
|
((((l&k)&(y|t))&t)&(t&l))
|
(k&(k|(~((v&f))>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((z|~(g))&y)
|
((~((l|y))|(k>(l&v)))|(g>((g>y)>(y>z))))
| 1 | 0 | 0 | 0 |
entailment
|
((((l&k)&(y|t))&t)&(t&l))
|
((~((l|y))|(k>(l&v)))|(g>((g>y)>(y>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((z|~(g))&y)
|
(k&(k|(~((v&f))>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&t)&l)
|
((f&t)|k)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(z)|(l>k)))
|
(l&(((t|t)&l)>z))
| 1 | 1 | 0 | 0 |
entailment
|
((f&t)&l)
|
(l&(((t|t)&l)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(z)|(l>k)))
|
((f&t)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y|(v|y))&((f|k)>k))&v)
|
(((k|(g>z))&t)>(~(y)>(g>v)))
| 1 | 0 | 0 | 0 |
entailment
|
((l&(y|((y|k)|(v|z))))&f)
|
(f|(((v>l)&g)&~(((l>k)>(~(k)|(k&t))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y|(v|y))&((f|k)>k))&v)
|
(f|(((v>l)&g)&~(((l>k)>(~(k)|(k&t))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&(y|((y|k)|(v|z))))&f)
|
(((k|(g>z))&t)>(~(y)>(g>v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((k>v)>~(k)))
|
(~(~(((y>l)>z)))|(k|t))
| 1 | 0 | 0 | 0 |
entailment
|
((~(k)&v)&(v&~(g)))
|
(((t>g)&g)>~(((t>(z&g))&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((k>v)>~(k)))
|
(((t>g)&g)>~(((t>(z&g))&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(k)&v)&(v&~(g)))
|
(~(~(((y>l)>z)))|(k|t))
| 0 | 0 | 0 | 0 |
not entailment
|
((t&~(k))&(y|~(v)))
|
((g&((v|f)|z))>~((k&f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(~(~(~((y>~(~(t))))))))))
|
((t>(((g>y)|t)>k))|~((((f&g)>(z&z))|g)))
| 1 | 1 | 0 | 0 |
entailment
|
((t&~(k))&(y|~(v)))
|
((t>(((g>y)|t)>k))|~((((f&g)>(z&z))|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(~(~(~((y>~(~(t))))))))))
|
((g&((v|f)|z))>~((k&f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&(k|((z&((l|(t|(l>g)))|(l>k)))|v)))
|
(t|f)
| 1 | 1 | 0 | 0 |
entailment
|
~((((f&y)|t)|((l>t)>(k|(k|k)))))
|
((t&v)>((y|y)>~((z>~((~((l>k))|z))))))
| 1 | 0 | 0 | 0 |
entailment
|
(t&(k|((z&((l|(t|(l>g)))|(l>k)))|v)))
|
((t&v)>((y|y)>~((z>~((~((l>k))|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((f&y)|t)|((l>t)>(k|(k|k)))))
|
(t|f)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((z>v)|(v|(t>f))))
|
~(~(~((((t&(z>g))>(f&z))&g))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&k)
|
((~(((g|f)&(v&f)))>y)>k)
| 1 | 0 | 0 | 0 |
entailment
|
~(((z>v)|(v|(t>f))))
|
((~(((g|f)&(v&f)))>y)>k)
| 0 | 0 | 0 | 0 |
not entailment
|
(k&k)
|
~(~(~((((t&(z>g))>(f&z))&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(t)&~((z>((y&g)|(y|y)))))
|
(((v>(z|~(t)))|k)>z)
| 1 | 1 | 0 | 0 |
entailment
|
(((~(z)&y)&(v>g))&~(l))
|
(y|~((~(t)|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(t)&~((z>((y&g)|(y|y)))))
|
(y|~((~(t)|g)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(z)&y)&(v>g))&~(l))
|
(((v>(z|~(t)))|k)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g&z))&~(v))
|
~(v)
| 1 | 1 | 1 | 1 |
entailment
|
((y|y)&~(k))
|
(((f>f)>z)|(~((g>z))|(y|t)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g&z))&~(v))
|
(((f>f)>z)|(~((g>z))|(y|t)))
| 0 | 0 | 0 | 0 |
not entailment
|
((y|y)&~(k))
|
~(v)
| 0 | 1 | 0 | 0 |
not entailment
|
((c&(e>r))&~((t&(e>g))))
|
~(~(((((e>c)&~(~(a)))|r)>(e>c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(e)>~(b))&~(b)))
|
(b&b)
| 1 | 1 | 1 | 1 |
entailment
|
((c&(e>r))&~((t&(e>g))))
|
(b&b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(e)>~(b))&~(b)))
|
~(~(((((e>c)&~(~(a)))|r)>(e>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((m>(~((e|c))|(((~((b&m))|g)&c)|a))))
|
~((((c&m)|(~(~(y))&t))&a))
| 1 | 1 | 0 | 0 |
entailment
|
~((e&(t>r)))
|
((~((g|(c&r)))|t)>(b|~((r&e))))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>(~((e|c))|(((~((b&m))|g)&c)|a))))
|
((~((g|(c&r)))|t)>(b|~((r&e))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((e&(t>r)))
|
~((((c&m)|(~(~(y))&t))&a))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((e|m)&(y&(b&e)))|(r|~(m))))
|
(~((((b|y)>c)&m))>~(((~(e)&t)&c)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((y&g))&((((y&m)&~((g|g)))>m)&(y&b)))
|
((~(b)>(c&g))|~(~((~((r&m))&g))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((e|m)&(y&(b&e)))|(r|~(m))))
|
((~(b)>(c&g))|~(~((~((r&m))&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((y&g))&((((y&m)&~((g|g)))>m)&(y&b)))
|
(~((((b|y)>c)&m))>~(((~(e)&t)&c)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~((m|((e&a)&b))))&(y>m))&(c>m))
|
((b|m)|(e>g))
| 1 | 1 | 0 | 0 |
entailment
|
((e|e)&(e&y))
|
((g&t)|((e|c)>(((e>b)&~((a|b)))>(b|r))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~((m|((e&a)&b))))&(y>m))&(c>m))
|
((g&t)|((e|c)>(((e>b)&~((a|b)))>(b|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
((e|e)&(e&y))
|
((b|m)|(e>g))
| 0 | 1 | 0 | 0 |
not entailment
|
~((m>~((b|e))))
|
(y|((m|e)|e))
| 1 | 1 | 0 | 0 |
entailment
|
~(e)
|
~((e&c))
| 1 | 0 | 0 | 0 |
entailment
|
~((m>~((b|e))))
|
~((e&c))
| 0 | 1 | 0 | 0 |
not entailment
|
~(e)
|
(y|((m|e)|e))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&(~((e|(e&a)))>t))
|
((b|e)|(~(c)>(t>g)))
| 1 | 1 | 0 | 0 |
entailment
|
((r|e)>~((m|e)))
|
((c|((g&g)>((~(e)|m)|((y>a)|m))))|(c&y))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(~((e|(e&a)))>t))
|
((c|((g&g)>((~(e)|m)|((y>a)|m))))|(c&y))
| 0 | 0 | 0 | 0 |
not entailment
|
((r|e)>~((m|e)))
|
((b|e)|(~(c)>(t>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|e)>g)>(g&~(r)))
|
(~(~((r>g)))|((e|m)|t))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(e)))
|
~(~((~((r>e))|(r>y))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e|e)>g)>(g&~(r)))
|
~(~((~((r>e))|(r>y))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(e)))
|
(~(~((r>g)))|((e|m)|t))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((r|(t&e))|~(((g>(y&r))&e))))&m)
|
(r>~(~((e&a))))
| 1 | 1 | 0 | 0 |
entailment
|
~((b|(e|(y|m))))
|
~((y&(c|((g>e)>(g|t)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((r|(t&e))|~(((g>(y&r))&e))))&m)
|
~((y&(c|((g>e)>(g|t)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((b|(e|(y|m))))
|
(r>~(~((e&a))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&a)&r)&((b&e)>b))
|
(t>(t>y))
| 1 | 1 | 0 | 0 |
entailment
|
(g&((e&m)&(~(r)&a)))
|
~(((~(m)>(b|((r&e)>m)))>~((a&m))))
| 1 | 0 | 0 | 0 |
entailment
|
(((y&a)&r)&((b&e)>b))
|
~(((~(m)>(b|((r&e)>m)))>~((a&m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&((e&m)&(~(r)&a)))
|
(t>(t>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((c&(m&(g&r)))|(b&t))
|
(((g>e)>((r|(~(e)&(t|g)))>(a|b)))|(r&e))
| 1 | 0 | 0 | 0 |
entailment
|
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