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 |
|---|---|---|---|---|---|---|
~(z)
|
~((~(((~(d)&z)&r))>~((z>z))))
| 1 | 0 | 0 | 0 |
entailment
|
((((n>~(m))|((n|l)|n))>(z&z))&l)
|
~((~(((~(d)&z)&r))>~((z>z))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(z)
|
((d&r)>(d&z))
| 0 | 0 | 0 | 0 |
not entailment
|
((l&(d&n))&(r>n))
|
((((r|n)|(z&m))|(~(m)>z))|((m&r)&(z&d)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~((r>m))|l))&~((l&d)))
|
(((m>r)&z)|(l>z))
| 1 | 1 | 0 | 0 |
entailment
|
((l&(d&n))&(r>n))
|
(((m>r)&z)|(l>z))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~((r>m))|l))&~((l&d)))
|
((((r|n)|(z&m))|(~(m)>z))|((m&r)&(z&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
(l&~(~(m)))
|
((~((z&(z&z)))>m)|((m|n)&r))
| 1 | 0 | 0 | 0 |
entailment
|
~(((d>~((r|d)))|l))
|
(d&d)
| 1 | 1 | 1 | 1 |
entailment
|
(l&~(~(m)))
|
(d&d)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d>~((r|d)))|l))
|
((~((z&(z&z)))>m)|((m|n)&r))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&(n>d))&~((l|m)))
|
(m>l)
| 1 | 1 | 1 | 0 |
entailment
|
((z|(d|d))&((r>r)>(~((l&(m>n)))&n)))
|
((z>r)>n)
| 1 | 1 | 1 | 1 |
entailment
|
((d&(n>d))&~((l|m)))
|
((z>r)>n)
| 0 | 1 | 0 | 0 |
not entailment
|
((z|(d|d))&((r>r)>(~((l&(m>n)))&n)))
|
(m>l)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(~((l&~((~(z)&m)))))|((r&l)|l))
|
((d|l)&((l|(n|~(m)))|~(~((z>(d|n))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(z)
|
~(z)
| 1 | 1 | 1 | 1 |
entailment
|
(~(~((l&~((~(z)&m)))))|((r&l)|l))
|
~(z)
| 0 | 1 | 1 | 0 |
not entailment
|
~(z)
|
((d|l)&((l|(n|~(m)))|~(~((z>(d|n))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&((q>h)|y))
|
((v&~(~(((q|a)>y))))|b)
| 1 | 0 | 0 | 0 |
entailment
|
(~((e&(a>b)))&~(~((b>(((q&e)&v)|q)))))
|
(((e&e)>~((q&b)))|~((e>~(l))))
| 1 | 1 | 0 | 0 |
entailment
|
(b&((q>h)|y))
|
(((e&e)>~((q&b)))|~((e>~(l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((e&(a>b)))&~(~((b>(((q&e)&v)|q)))))
|
((v&~(~(((q|a)>y))))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((d|n)>~(n))
|
(~((y>v))|~(n))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((b&(n|(y|n)))))
|
((e|(v>a))|b)
| 1 | 1 | 0 | 0 |
entailment
|
((d|n)>~(n))
|
((e|(v>a))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~((b&(n|(y|n)))))
|
(~((y>v))|~(n))
| 0 | 1 | 0 | 0 |
not entailment
|
(((h|v)&h)&d)
|
((b>d)|(q&(v|y)))
| 1 | 0 | 0 | 0 |
entailment
|
((n|d)>(q&~(q)))
|
(b>(d>y))
| 1 | 1 | 0 | 0 |
entailment
|
(((h|v)&h)&d)
|
(b>(d>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((n|d)>(q&~(q)))
|
((b>d)|(q&(v|y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((h>((a>n)&a)))|(h&v))
|
(h|(~(b)>l))
| 1 | 1 | 0 | 0 |
entailment
|
(((b>y)&e)&(~((d|(n|~((a&y)))))|h))
|
((v|v)>e)
| 1 | 1 | 0 | 0 |
entailment
|
(~((h>((a>n)&a)))|(h&v))
|
((v|v)>e)
| 0 | 1 | 0 | 0 |
not entailment
|
(((b>y)&e)&(~((d|(n|~((a&y)))))|h))
|
(h|(~(b)>l))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(h)&b)|q)&a)
|
((e|a)|h)
| 1 | 1 | 0 | 0 |
entailment
|
~((~((n>y))|y))
|
~(~(~(~(~((l&(y&h)))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(h)&b)|q)&a)
|
~(~(~(~(~((l&(y&h)))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((n>y))|y))
|
((e|a)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((~(d)&e)&(b>(a&d)))|(e|(q&q))))
|
((l&e)>q)
| 1 | 1 | 0 | 0 |
entailment
|
~(((y&b)>d))
|
(a>b)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(d)&e)&(b>(a&d)))|(e|(q&q))))
|
(a>b)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((y&b)>d))
|
((l&e)>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((b>q)>(q|((h|y)&(y&d)))))
|
((b|(l>l))>(n|~((a&b))))
| 1 | 1 | 0 | 0 |
entailment
|
((((~(q)>~(q))|h)|y)&~(l))
|
~(((((d>y)>b)>(~(((h|q)>h))|a))&l))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>q)>(q|((h|y)&(y&d)))))
|
~(((((d>y)>b)>(~(((h|q)>h))|a))&l))
| 0 | 0 | 0 | 0 |
not entailment
|
((((~(q)>~(q))|h)|y)&~(l))
|
((b|(l>l))>(n|~((a&b))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((n|h)|a)>((a|h)|((l&n)|a))))
|
(l>(n&y))
| 1 | 1 | 0 | 0 |
entailment
|
~((q>~(~((d|e)))))
|
~(~(((~(((e>n)&e))&q)|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((((n|h)|a)>((a|h)|((l&n)|a))))
|
~(~(((~(((e>n)&e))&q)|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((q>~(~((d|e)))))
|
(l>(n&y))
| 0 | 1 | 0 | 0 |
not entailment
|
((b>~(b))&((e&d)&(~(~(v))>l)))
|
((h>d)|((e|y)|(e&((b&q)|a))))
| 1 | 1 | 0 | 0 |
entailment
|
((((v>q)>n)>(l>(d&v)))&~(((q|q)|(v|d))))
|
((q>b)&(d>(~(l)|v)))
| 1 | 1 | 0 | 0 |
entailment
|
((b>~(b))&((e&d)&(~(~(v))>l)))
|
((q>b)&(d>(~(l)|v)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((v>q)>n)>(l>(d&v)))&~(((q|q)|(v|d))))
|
((h>d)|((e|y)|(e&((b&q)|a))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(h))|~((~(q)|(l|v))))&(e&(b&h)))
|
(v>(d|(n>(l>e))))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(~(~(~((y&((h>a)|y)))))))
|
((l&y)>(~((v|n))&e))
| 1 | 1 | 0 | 0 |
entailment
|
((~(~(h))|~((~(q)|(l|v))))&(e&(b&h)))
|
((l&y)>(~((v|n))&e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~(~((y&((h>a)|y)))))))
|
(v>(d|(n>(l>e))))
| 0 | 1 | 0 | 0 |
not entailment
|
((n&((y&(v>d))|(d|q)))|b)
|
((b|e)|(n|(l&q)))
| 1 | 1 | 0 | 0 |
entailment
|
(y&v)
|
((~(((q|(d>(n>h)))&b))|e)>(h|v))
| 1 | 0 | 0 | 0 |
entailment
|
((n&((y&(v>d))|(d|q)))|b)
|
((~(((q|(d>(n>h)))&b))|e)>(h|v))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&v)
|
((b|e)|(n|(l&q)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d|g)&(d|d))
|
(~(~(d))|q)
| 1 | 1 | 0 | 0 |
entailment
|
~(~(((k&(g&p))&(q>v))))
|
(k>p)
| 1 | 1 | 1 | 0 |
entailment
|
((d|g)&(d|d))
|
(k>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(((k&(g&p))&(q>v))))
|
(~(~(d))|q)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((c>d))&((q&(k&q))&(d>(~((q|c))&c))))
|
~((((k&q)&((q&~(~(d)))|d))&((c>g)|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((v&q)>((v&g)>q))&((g>v)>~(g))))
|
((k&c)>(c>v))
| 1 | 1 | 0 | 0 |
entailment
|
(~((c>d))&((q&(k&q))&(d>(~((q|c))&c))))
|
((k&c)>(c>v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((v&q)>((v&g)>q))&((g>v)>~(g))))
|
~((((k&q)&((q&~(~(d)))|d))&((c>g)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&g)
|
(~(~(k))>((v>v)&((c&g)|((q|k)>(g|q)))))
| 1 | 0 | 0 | 0 |
entailment
|
((v&((k&c)>g))&((v>(q|(p|(k&p))))&p))
|
(~((p|(~(c)>~((k&v)))))>c)
| 1 | 1 | 1 | 0 |
entailment
|
(q&g)
|
(~((p|(~(c)>~((k&v)))))>c)
| 0 | 0 | 0 | 0 |
not entailment
|
((v&((k&c)>g))&((v>(q|(p|(k&p))))&p))
|
(~(~(k))>((v>v)&((c&g)|((q|k)>(g|q)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(d)&((q&(p|g))&((q&(c|k))>(q|d))))
|
((~(~(d))>(p&(c|d)))|(k&g))
| 1 | 1 | 1 | 0 |
entailment
|
(d&k)
|
((((q|g)&d)|(k|k))>d)
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&((q&(p|g))&((q&(c|k))>(q|d))))
|
((((q|g)&d)|(k|k))>d)
| 0 | 1 | 1 | 0 |
not entailment
|
(d&k)
|
((~(~(d))>(p&(c|d)))|(k&g))
| 0 | 0 | 0 | 0 |
not entailment
|
((d&~(c))&(v|k))
|
(((d&d)|((d>(v|q))&q))|~(~(d)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((~(v)&d))>p))
|
(d>v)
| 1 | 1 | 1 | 1 |
entailment
|
((d&~(c))&(v|k))
|
(d>v)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((~(v)&d))>p))
|
(((d&d)|((d>(v|q))&q))|~(~(d)))
| 0 | 0 | 0 | 0 |
not entailment
|
((q&g)&((d>g)&v))
|
(((((d&d)&q)>c)>((k&c)|p))|g)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((k&~(q))))&~(~((g|v))))
|
((((g&k)&((q>q)>k))|c)|(~(d)|~(g)))
| 1 | 0 | 0 | 0 |
entailment
|
((q&g)&((d>g)&v))
|
((((g&k)&((q>q)>k))|c)|(~(d)|~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((k&~(q))))&~(~((g|v))))
|
(((((d&d)&q)>c)>((k&c)|p))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((~((k|c))>d)|k)>(c>v))
|
((c&g)>(v&(k>~(~(v)))))
| 1 | 1 | 0 | 0 |
entailment
|
~((p>~(~(~(((v|p)>~((d>~(g)))))))))
|
(d&p)
| 1 | 1 | 1 | 1 |
entailment
|
(((~((k|c))>d)|k)>(c>v))
|
(d&p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((p>~(~(~(((v|p)>~((d>~(g)))))))))
|
((c&g)>(v&(k>~(~(v)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(q&~((g|((q>(~(~(q))&k))|(~(p)|d)))))
|
~(((~(((((d&d)>k)|~(p))|k))>(g|d))>g))
| 1 | 1 | 1 | 0 |
entailment
|
(v&~(~(q)))
|
(k|(q>v))
| 1 | 1 | 0 | 0 |
entailment
|
(q&~((g|((q>(~(~(q))&k))|(~(p)|d)))))
|
(k|(q>v))
| 0 | 1 | 0 | 0 |
not entailment
|
(v&~(~(q)))
|
~(((~(((((d&d)>k)|~(p))|k))>(g|d))>g))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(((c&q)&p))&(g&g))&~(d))
|
(c|g)
| 1 | 1 | 1 | 0 |
entailment
|
((c|(p&p))&~(v))
|
(v>(c&v))
| 1 | 1 | 1 | 0 |
entailment
|
((~(((c&q)&p))&(g&g))&~(d))
|
(v>(c&v))
| 0 | 1 | 0 | 0 |
not entailment
|
((c|(p&p))&~(v))
|
(c|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(~((d&v)))))
|
(((~(c)|~(d))|(c|p))&(d|((c|v)>(p>g))))
| 1 | 0 | 0 | 0 |
entailment
|
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