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 |
|---|---|---|---|---|---|---|
((l&k)&(v>~((~((a>k))>a))))
|
(s|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(f|(((k|(k>~((v|l))))&~((j|z)))&f))
|
(z|f)
| 1 | 1 | 1 | 0 |
entailment
|
(e&(((a|~((~(s)&k)))&(z>(k&(k&a))))|k))
|
~(~((e|j)))
| 1 | 1 | 0 | 0 |
entailment
|
(f|(((k|(k>~((v|l))))&~((j|z)))&f))
|
~(~((e|j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(((a|~((~(s)&k)))&(z>(k&(k&a))))|k))
|
(z|f)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((s>k)))&((k|s)|l)))
|
((~(k)|f)|l)
| 1 | 1 | 0 | 0 |
entailment
|
(((s>s)&(k&(j&z)))&((~((j|j))&a)|(s&v)))
|
((~((z|f))|(z>s))|((e|l)>(s&v)))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(~((s>k)))&((k|s)|l)))
|
((~((z|f))|(z>s))|((e|l)>(s&v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s>s)&(k&(j&z)))&((~((j|j))&a)|(s&v)))
|
((~(k)|f)|l)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(j)>(~((f|f))&s))&~((v|k)))
|
(k>j)
| 1 | 1 | 1 | 1 |
entailment
|
(v&l)
|
((s>z)>v)
| 1 | 0 | 0 | 0 |
entailment
|
((~(j)>(~((f|f))&s))&~((v|k)))
|
((s>z)>v)
| 0 | 1 | 0 | 0 |
not entailment
|
(v&l)
|
(k>j)
| 0 | 1 | 0 | 0 |
not entailment
|
((k|f)|k)
|
(~((f|a))>((l|f)|k))
| 1 | 0 | 0 | 0 |
entailment
|
~((((a>(v&(l&a)))|v)>z))
|
~((z&~(((k&(e|e))>~(a)))))
| 1 | 0 | 0 | 0 |
entailment
|
((k|f)|k)
|
~((z&~(((k&(e|e))>~(a)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((a>(v&(l&a)))|v)>z))
|
(~((f|a))>((l|f)|k))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(f|(e|j)))
|
((e&~(v))|(k|s))
| 1 | 0 | 0 | 0 |
entailment
|
~((((v&z)>l)|s))
|
((a|l)>z)
| 1 | 1 | 0 | 0 |
entailment
|
(k&(f|(e|j)))
|
((a|l)>z)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((v&z)>l)|s))
|
((e&~(v))|(k|s))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>(f&l))>((l&a)&~(a)))
|
((~((s>f))>z)|v)
| 1 | 1 | 0 | 0 |
entailment
|
(((e>s)|a)&(v>k))
|
(v>~(~(((f>l)|~(~((k&k)))))))
| 1 | 0 | 0 | 0 |
entailment
|
((f>(f&l))>((l&a)&~(a)))
|
(v>~(~(((f>l)|~(~((k&k)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e>s)|a)&(v>k))
|
((~((s>f))>z)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~((a>~((~((~((f>k))>k))&(k|a)))))
|
(~((v|l))>((z|f)|~((f|s))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(k)|j)|z))
|
((e|l)>~(j))
| 1 | 1 | 0 | 0 |
entailment
|
~((a>~((~((~((f>k))>k))&(k|a)))))
|
((e|l)>~(j))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(k)|j)|z))
|
(~((v|l))>((z|f)|~((f|s))))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&v)
|
(((z&~((e|k)))>s)|(v|f))
| 1 | 0 | 0 | 0 |
entailment
|
~(l)
|
(((~(~(((f>z)&j)))&e)&l)>~((f|j)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&v)
|
(((~(~(((f>z)&j)))&e)&l)>~((f|j)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(l)
|
(((z&~((e|k)))>s)|(v|f))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s>(s>(z&~((v|v)))))|(l|v))&k)
|
((a|k)|v)
| 1 | 1 | 0 | 0 |
entailment
|
(s&(f&(j&z)))
|
((~(~((s>z)))&(s|z))&(s>(s|~(~(z)))))
| 1 | 0 | 1 | 0 |
entailment
|
(((s>(s>(z&~((v|v)))))|(l|v))&k)
|
((~(~((s>z)))&(s|z))&(s>(s|~(~(z)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(s&(f&(j&z)))
|
((a|k)|v)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((a|k)>((a&(j&j))&(e>z)))))
|
~(~(~((a&(f&~(j))))))
| 1 | 1 | 0 | 0 |
entailment
|
((z&f)&(a|((f>s)|a)))
|
(((v>(k|v))>f)|f)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((a|k)>((a&(j&j))&(e>z)))))
|
(((v>(k|v))>f)|f)
| 0 | 1 | 0 | 0 |
not entailment
|
((z&f)&(a|((f>s)|a)))
|
~(~(~((a&(f&~(j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(e)>a))
|
(e>(k&f))
| 1 | 1 | 0 | 0 |
entailment
|
~(((((s&l)>a)|~((k&(l>(a|e)))))|j))
|
(((~(l)&k)|(a>k))&(((l>s)&l)|~(~(s))))
| 1 | 0 | 1 | 1 |
entailment
|
~((~(e)>a))
|
(((~(l)&k)|(a>k))&(((l>s)&l)|~(~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((((s&l)>a)|~((k&(l>(a|e)))))|j))
|
(e>(k&f))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(s)|g)&~((((p>v)>v)|g)))
|
((b>((v|p)>g))|(((~(p)|(s|b))&s)&b))
| 1 | 0 | 0 | 0 |
entailment
|
((s|v)&((s>s)&~(g)))
|
(((g>g)&(g|v))|(v|(s|(g|p))))
| 1 | 0 | 0 | 0 |
entailment
|
((~(s)|g)&~((((p>v)>v)|g)))
|
(((g>g)&(g|v))|(v|(s|(g|p))))
| 0 | 1 | 1 | 0 |
not entailment
|
((s|v)&((s>s)&~(g)))
|
((b>((v|p)>g))|(((~(p)|(s|b))&s)&b))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((p&~((g&v)))>(g|v)))
|
((s>((b>b)&v))|(v|p))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(((v|b)>~(s))))|v)>b)
|
(p>((s|b)|b))
| 1 | 1 | 0 | 0 |
entailment
|
~(((p&~((g&v)))>(g|v)))
|
(p>((s|b)|b))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(((v|b)>~(s))))|v)>b)
|
((s>((b>b)&v))|(v|p))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(b))
|
((s>(~(s)&b))>(g>((v>p)|(b&(b&(v|g))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(v)|(g>b)))
|
(((g&g)&((v|s)|p))|(~(~(v))&~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(b))
|
(((g&g)&((v|s)|p))|(~(~(v))&~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(v)|(g>b)))
|
((s>(~(s)&b))>(g>((v>p)|(b&(b&(v|g))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(((s|v)|p))))
|
(~(((v&g)|b))|(~(b)>~((((b&p)&p)>v))))
| 1 | 0 | 0 | 0 |
entailment
|
(v&g)
|
(v|b)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(((s|v)|p))))
|
(v|b)
| 0 | 1 | 0 | 0 |
not entailment
|
(v&g)
|
(~(((v&g)|b))|(~(b)>~((((b&p)&p)>v))))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&b)
|
((p&(g&v))>b)
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(s)>~((p>p))))&((s&s)|g))
|
~((v&((b>b)&s)))
| 1 | 1 | 0 | 0 |
entailment
|
(s&b)
|
~((v&((b>b)&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((~(s)>~((p>p))))&((s&s)|g))
|
((p&(g&v))>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((p|v)|v))
|
((s|~(p))|~(((s|p)>~(((v&p)|s)))))
| 1 | 0 | 0 | 0 |
entailment
|
(p&(p>~(g)))
|
(~(p)>b)
| 1 | 1 | 0 | 0 |
entailment
|
~(((p|v)|v))
|
(~(p)>b)
| 0 | 1 | 0 | 0 |
not entailment
|
(p&(p>~(g)))
|
((s|~(p))|~(((s|p)>~(((v&p)|s)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((b|s)&(g&b))&p)
|
(v>p)
| 1 | 1 | 0 | 0 |
entailment
|
~(s)
|
~((((s&g)&g)&~(~((v>(~(g)|v))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((b|s)&(g&b))&p)
|
~((((s&g)&g)&~(~((v>(~(g)|v))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(s)
|
(v>p)
| 0 | 1 | 0 | 0 |
not entailment
|
((((p|v)|(s>b))&((g&b)|s))>~((s|(b&b))))
|
(((s&v)&(p>p))>~((v>b)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(p)|s)>~((g&b))))
|
~(((s>(g&s))>~(b)))
| 1 | 1 | 1 | 0 |
entailment
|
((((p|v)|(s>b))&((g&b)|s))>~((s|(b&b))))
|
~(((s>(g&s))>~(b)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(p)|s)>~((g&b))))
|
(((s&v)&(p>p))>~((v>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&~((s|v)))
|
~(((((p>v)>p)|b)&(s|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((v&g)>s)|b))
|
((g|s)&~(~(v)))
| 1 | 1 | 1 | 0 |
entailment
|
(b&~((s|v)))
|
((g|s)&~(~(v)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((v&g)>s)|b))
|
~(((((p>v)>p)|b)&(s|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s>(s>~(g)))
|
(p>((s>b)|~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
(v&p)
|
(~(((p>(g>(~(g)&b)))&g))|((b|b)|v))
| 1 | 0 | 0 | 0 |
entailment
|
(s>(s>~(g)))
|
(~(((p>(g>(~(g)&b)))&g))|((b|b)|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(v&p)
|
(p>((s>b)|~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(s&v)
|
(v|(p|b))
| 1 | 0 | 0 | 0 |
entailment
|
((~(b)>~((g>(g|b))))>~(b))
|
(~((b&b))&(((p&g)|s)>(b>~(s))))
| 1 | 0 | 0 | 0 |
entailment
|
(s&v)
|
(~((b&b))&(((p&g)|s)>(b>~(s))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(b)>~((g>(g|b))))>~(b))
|
(v|(p|b))
| 0 | 1 | 0 | 0 |
not entailment
|
(p&p)
|
((s|p)|~((v&g)))
| 1 | 0 | 0 | 0 |
entailment
|
((g>~(s))&~(b))
|
~((b&(p&p)))
| 1 | 1 | 0 | 0 |
entailment
|
(p&p)
|
~((b&(p&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>~(s))&~(b))
|
((s|p)|~((v&g)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((g&b)&s)&s)
|
(b|g)
| 1 | 1 | 1 | 1 |
entailment
|
(p|~((~(b)>p)))
|
(b>p)
| 1 | 1 | 1 | 1 |
entailment
|
(((g&b)&s)&s)
|
(b>p)
| 0 | 1 | 0 | 0 |
not entailment
|
(p|~((~(b)>p)))
|
(b|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((s>(s&v)))
|
(~(s)>~((g>b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|~(((((~((s|b))|s)|g)|v)|b))))
|
((g&(~(~(g))>s))>(~(s)|p))
| 1 | 1 | 0 | 0 |
entailment
|
~((s>(s&v)))
|
((g&(~(~(g))>s))>(~(s)|p))
| 0 | 0 | 0 | 0 |
not entailment
|
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