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 |
|---|---|---|---|---|---|---|
~((((o|n)>((~(z)>z)>(p|z)))>(t|n)))
|
(t>~((f|z)))
| 1 | 1 | 0 | 0 |
entailment
|
((((n&n)>o)|t)&((f|(k&f))&y))
|
~((k&~(((z&k)|(y&f)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((((o|n)>((~(z)>z)>(p|z)))>(t|n)))
|
~((k&~(((z&k)|(y&f)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((((n&n)>o)|t)&((f|(k&f))&y))
|
(t>~((f|z)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((z|(n>o))&z)|(z&((t|~((y|k)))&o))))
|
((y>(z>((t&o)|n)))|~((y>(t|(o>p)))))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(~((f|z))|((f&(k&(~(t)|k)))|z)))
|
(((z|z)&~(((z|o)&n)))|~(~(f)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((z|(n>o))&z)|(z&((t|~((y|k)))&o))))
|
(((z|z)&~(((z|o)&n)))|~(~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
(f&(~((f|z))|((f&(k&(~(t)|k)))|z)))
|
((y>(z>((t&o)|n)))|~((y>(t|(o>p)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(n&(k>z))
|
(((z&(t&n))>(p>z))&n)
| 1 | 0 | 0 | 0 |
entailment
|
(y&y)
|
((p&k)>y)
| 1 | 0 | 0 | 0 |
entailment
|
(n&(k>z))
|
((p&k)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&y)
|
(((z&(t&n))>(p>z))&n)
| 0 | 0 | 0 | 0 |
not entailment
|
(((k&~(~((z>o))))>t)&f)
|
((k|f)|~((y&(k>o))))
| 1 | 1 | 0 | 0 |
entailment
|
((n|f)&(y&p))
|
((~(y)&o)|~(~((f>y))))
| 1 | 0 | 0 | 0 |
entailment
|
(((k&~(~((z>o))))>t)&f)
|
((~(y)&o)|~(~((f>y))))
| 0 | 1 | 0 | 0 |
not entailment
|
((n|f)&(y&p))
|
((k|f)|~((y&(k>o))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((o>f)|((~((f|t))&n)&f))|y)|n))
|
~((~(f)>n))
| 1 | 1 | 1 | 1 |
entailment
|
(y&z)
|
((f|k)>((n|n)|y))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((o>f)|((~((f|t))&n)&f))|y)|n))
|
((f|k)>((n|n)|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&z)
|
~((~(f)>n))
| 0 | 0 | 0 | 0 |
not entailment
|
(((o>o)|f)&y)
|
(~((~(y)&~((p&(y&z)))))|((t>o)>k))
| 1 | 0 | 0 | 0 |
entailment
|
((z&f)&(~((k&((z|n)&(n|z))))|(~(k)>o)))
|
(((p|z)>((p>z)&f))|~(n))
| 1 | 1 | 0 | 0 |
entailment
|
(((o>o)|f)&y)
|
(((p|z)>((p>z)&f))|~(n))
| 0 | 0 | 0 | 0 |
not entailment
|
((z&f)&(~((k&((z|n)&(n|z))))|(~(k)>o)))
|
(~((~(y)&~((p&(y&z)))))|((t>o)>k))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((y|~((y>p)))>z)&(o|y))>o))
|
(z|((y&o)>z))
| 1 | 1 | 1 | 1 |
entailment
|
~(f)
|
~(((((n|k)&f)|y)&f))
| 1 | 0 | 0 | 0 |
entailment
|
~(((((y|~((y>p)))>z)&(o|y))>o))
|
~(((((n|k)&f)|y)&f))
| 0 | 1 | 0 | 0 |
not entailment
|
~(f)
|
(z|((y&o)>z))
| 0 | 0 | 0 | 0 |
not entailment
|
~((f>o))
|
(y|(f|o))
| 1 | 1 | 0 | 0 |
entailment
|
((k&k)>(~(((y&~(n))>n))&(t&k)))
|
((k>y)&((k>(f>(f|t)))|((z&z)&k)))
| 1 | 1 | 0 | 0 |
entailment
|
~((f>o))
|
((k>y)&((k>(f>(f|t)))|((z&z)&k)))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&k)>(~(((y&~(n))>n))&(t&k)))
|
(y|(f|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((t&~(~(z)))&(~(y)&p))
|
(t|~((t>~(~((y|z))))))
| 1 | 1 | 1 | 0 |
entailment
|
((o>~(o))&(p>n))
|
~(((k&f)&((k&o)&o)))
| 1 | 0 | 0 | 0 |
entailment
|
((t&~(~(z)))&(~(y)&p))
|
~(((k&f)&((k&o)&o)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>~(o))&(p>n))
|
(t|~((t>~(~((y|z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y|s)|d)&g)
|
(~(((o|(u|(r>g)))|v))>g)
| 1 | 0 | 0 | 0 |
entailment
|
(((y|s)|d)&g)
|
(d>c)
| 0 | 1 | 0 | 0 |
not entailment
|
~(d)
|
(~(((o|(u|(r>g)))|v))>g)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&g)
|
~(~((~(d)|((g&y)|(u>g)))))
| 1 | 0 | 0 | 0 |
entailment
|
((((((v>y)&u)>c)&r)&(d&y))&v)
|
~(~(~((~((r|d))&(u>(d>((s|d)&u)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&g)
|
~(~(~((~((r|d))&(u>(d>((s|d)&u)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((((v>y)&u)>c)&r)&(d&y))&v)
|
~(~((~(d)|((g&y)|(u>g)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((d|~(y)))&~(~(s)))|~(c))
|
((s>~(g))|(~((g|s))|(((c&s)&r)>~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&~(y))
|
(((u|(d>~(v)))|s)|(~(o)>((d&(r|y))&c)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((d|~(y)))&~(~(s)))|~(c))
|
(((u|(d>~(v)))|s)|(~(o)>((d&(r|y))&c)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&~(y))
|
((s>~(g))|(~((g|s))|(((c&s)&r)>~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u&g)>(s|~((o&((r>d)&g))))))
|
((y>~(d))>(~((u&o))|(s>r)))
| 1 | 1 | 0 | 0 |
entailment
|
(c&((r>s)&u))
|
((u>(c|r))|(s&u))
| 1 | 0 | 1 | 0 |
entailment
|
~(((u&g)>(s|~((o&((r>d)&g))))))
|
((u>(c|r))|(s&u))
| 0 | 1 | 0 | 0 |
not entailment
|
(c&((r>s)&u))
|
((y>~(d))>(~((u&o))|(s>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(((c>(u&u))|(g&d))))>((r|v)&d))
|
((g>v)|(o|~(~(((v>v)>((g&d)|c))))))
| 1 | 1 | 0 | 0 |
entailment
|
(((s>(o&u))|~((~((d>r))|(d&u))))>s)
|
(s|((d>o)|(u|y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(((c>(u&u))|(g&d))))>((r|v)&d))
|
(s|((d>o)|(u|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((s>(o&u))|~((~((d>r))|(d&u))))>s)
|
((g>v)|(o|~(~(((v>v)>((g&d)|c))))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((v|(d|~(c))))&u)&(((u|s)&v)>(c>r)))
|
((s|u)|(o&d))
| 1 | 1 | 0 | 0 |
entailment
|
~((y>d))
|
(o|y)
| 1 | 1 | 0 | 0 |
entailment
|
((~((v|(d|~(c))))&u)&(((u|s)&v)>(c>r)))
|
(o|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((y>d))
|
((s|u)|(o&d))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(v)|(y>u)))
|
(~((v>g))>((~(c)|y)|(y|g)))
| 1 | 0 | 0 | 0 |
entailment
|
((u>c)&((~((o&s))&~((o>g)))&v))
|
(d|o)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(v)|(y>u)))
|
(d|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((u>c)&((~((o&s))&~((o>g)))&v))
|
(~((v>g))>((~(c)|y)|(y|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(c)&(c|(d&d)))>(o|(o&s)))&r)
|
(u>(s|(r|v)))
| 1 | 1 | 0 | 0 |
entailment
|
(((g|v)&c)&y)
|
((u>d)>~(((s|o)&~((o>y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(c)&(c|(d&d)))>(o|(o&s)))&r)
|
((u>d)>~(((s|o)&~((o>y)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g|v)&c)&y)
|
(u>(s|(r|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((d>c)>(c|~((r>o)))))>r))
|
~(~((d>~((o|c)))))
| 1 | 1 | 1 | 0 |
entailment
|
(o&o)
|
(o&(~(((r&c)>(y|y)))>((r&y)>(u>d))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((d>c)>(c|~((r>o)))))>r))
|
(o&(~(((r&c)>(y|y)))>((r&y)>(u>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&o)
|
~(~((d>~((o|c)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((d|(r|g))|u)&((v&~((u&g)))&o))
|
(~(c)>(u>~((~((r>d))&g))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(s)&y)
|
(((v&(r&u))>~((u|s)))>(g|y))
| 1 | 0 | 0 | 0 |
entailment
|
(((d|(r|g))|u)&((v&~((u&g)))&o))
|
(((v&(r&u))>~((u|s)))>(g|y))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(s)&y)
|
(~(c)>(u>~((~((r>d))&g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((((g>y)|(v&o))&c)>~(c))&y)
|
(s>(((~((s>~(c)))>~(~(o)))|(g>d))&s))
| 1 | 0 | 0 | 0 |
entailment
|
((y|((d>g)>(y&o)))&(r&r))
|
((o&g)>r)
| 1 | 1 | 1 | 0 |
entailment
|
(((((g>y)|(v&o))&c)>~(c))&y)
|
((o&g)>r)
| 0 | 1 | 0 | 0 |
not entailment
|
((y|((d>g)>(y&o)))&(r&r))
|
(s>(((~((s>~(c)))>~(~(o)))|(g>d))&s))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c|((c|~(~(r)))&u)))&(r|c))
|
(((c|~((u|(u>s))))>y)&(((g>y)|v)>r))
| 1 | 0 | 0 | 0 |
entailment
|
((g&u)&d)
|
~(~((~(((y|(o&u))|g))|d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((c|((c|~(~(r)))&u)))&(r|c))
|
~(~((~(((y|(o&u))|g))|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&u)&d)
|
(((c|~((u|(u>s))))>y)&(((g>y)|v)>r))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&v)
|
(~((y|((c|u)>d)))>(v|(c>u)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((((d|~(o))>v)|d))>((d|c)>~(c))))
|
~(~(((u>s)>(((g&c)>(r&o))|~((r&v))))))
| 1 | 1 | 0 | 0 |
entailment
|
(d&v)
|
~(~(((u>s)>(((g&c)>(r&o))|~((r&v))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((((d|~(o))>v)|d))>((d|c)>~(c))))
|
(~((y|((c|u)>d)))>(v|(c>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((o&r)>(g&g))>(c>o))&~((s>c)))
|
(~(c)|((r&v)&(u>(c&(u&c)))))
| 1 | 1 | 0 | 0 |
entailment
|
(((y&(o&d))&~(u))|(~(u)&s))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
((((o&r)>(g&g))>(c>o))&~((s>c)))
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
(((y&(o&d))&~(u))|(~(u)&s))
|
(~(c)|((r&v)&(u>(c&(u&c)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(s))
|
((y&(s>(v&u)))>(r>(u|c)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s>s)>~(((u>u)&v))))
|
((~(u)|~(((u>y)>g)))|v)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(s))
|
((~(u)|~(((u>y)>g)))|v)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((s>s)>~(((u>u)&v))))
|
((y&(s>(v&u)))>(r>(u|c)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g>(y>~((d&c)))))&(v>c))
|
(~(((g|~(~(u)))&(g&y)))>~((y>(d|c))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((s|o)>o))
|
~(((~(s)&c)&d))
| 1 | 0 | 0 | 0 |
entailment
|
(~((g>(y>~((d&c)))))&(v>c))
|
~(((~(s)&c)&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((s|o)>o))
|
(~(((g|~(~(u)))&(g&y)))>~((y>(d|c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~(s)|u)&(g>c)))|(v&v))
|
((~(g)>~(~(v)))|~(~(((v|s)&(v>u)))))
| 1 | 0 | 1 | 0 |
entailment
|
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