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