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 |
|---|---|---|---|---|---|---|
~(~((q&l))) | (((h>e)>((h&q)&(e>o)))>q) | 1 | 0 | 0 | 0 | entailment |
((b&l)&(a|q)) | ((((l|b)&b)|h)|(~(~((b>e)))>~(~(a)))) | 1 | 0 | 0 | 0 | entailment |
~(~((q&l))) | ((((l|b)&b)|h)|(~(~((b>e)))>~(~(a)))) | 0 | 0 | 0 | 0 | not entailment |
((b&l)&(a|q)) | (((h>e)>((h&q)&(e>o)))>q) | 0 | 0 | 0 | 0 | not entailment |
((((e&q)&l)&(~(h)|h))&(q&((h&h)|b))) | (~((~((h>~((a&b))))&o))>(l|q)) | 1 | 1 | 0 | 0 | entailment |
~((~(((b>a)&(q>o)))|l)) | (q>o) | 1 | 1 | 1 | 1 | entailment |
((((e&q)&l)&(~(h)|h))&(q&((h&h)|b))) | (q>o) | 0 | 1 | 0 | 0 | not entailment |
~((~(((b>a)&(q>o)))|l)) | (~((~((h>~((a&b))))&o))>(l|q)) | 0 | 0 | 0 | 0 | not entailment |
(((h>(a|e))&o)&(h>o)) | (q|o) | 1 | 1 | 0 | 0 | entailment |
~(l) | ((l&q)>((h>o)&h)) | 1 | 0 | 0 | 0 | entailment |
(((h>(a|e))&o)&(h>o)) | ((l&q)>((h>o)&h)) | 0 | 1 | 0 | 0 | not entailment |
~(l) | (q|o) | 0 | 1 | 0 | 0 | not entailment |
(((h|((b>l)|h))&a)&e) | ((~((h|((o&l)>b)))|a)|(o|e)) | 1 | 0 | 0 | 0 | entailment |
(l&q) | (o|~((~(l)&e))) | 1 | 0 | 0 | 0 | entailment |
(((h|((b>l)|h))&a)&e) | (o|~((~(l)&e))) | 0 | 1 | 0 | 0 | not entailment |
(l&q) | ((~((h|((o&l)>b)))|a)|(o|e)) | 0 | 0 | 0 | 0 | not entailment |
((h&((a>a)>e))&((o>(e|o))&(l&~(o)))) | ~(~(((a>~(q))|((l>~((b>(o|q))))>o)))) | 1 | 0 | 0 | 0 | entailment |
~(((h|b)&b)) | ((b&((l&a)&e))>~(((a>o)>h))) | 1 | 0 | 0 | 0 | entailment |
((h&((a>a)>e))&((o>(e|o))&(l&~(o)))) | ((b&((l&a)&e))>~(((a>o)>h))) | 0 | 1 | 0 | 0 | not entailment |
~(((h|b)&b)) | ~(~(((a>~(q))|((l>~((b>(o|q))))>o)))) | 0 | 0 | 0 | 0 | not entailment |
((o|(l&a))&~((((a>a)|q)>~(~(e))))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
~(h) | (~(((e>a)|e))|((q&h)>e)) | 1 | 0 | 0 | 0 | entailment |
((o|(l&a))&~((((a>a)|q)>~(~(e))))) | (~(((e>a)|e))|((q&h)>e)) | 0 | 1 | 0 | 0 | not entailment |
~(h) | ~(e) | 0 | 1 | 0 | 0 | not entailment |
(~((((k|b)|k)|n))&((b|((n|y)|y))&(v&y))) | (~((n&y))|(~(k)>k)) | 1 | 1 | 1 | 0 | entailment |
~(((o&v)>(~((n&(b&o)))|k))) | (n&(~(((o&b)>v))>(y&n))) | 1 | 1 | 0 | 0 | entailment |
(~((((k|b)|k)|n))&((b|((n|y)|y))&(v&y))) | (n&(~(((o&b)>v))>(y&n))) | 0 | 1 | 0 | 0 | not entailment |
~(((o&v)>(~((n&(b&o)))|k))) | (~((n&y))|(~(k)>k)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~(o))|o))) | (v|(o|((v|~(n))|(~(n)&(~(k)&m))))) | 1 | 0 | 0 | 0 | entailment |
(n&~(y)) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
~(~((~(~(o))|o))) | ~(~(n)) | 0 | 1 | 0 | 0 | not entailment |
(n&~(y)) | (v|(o|((v|~(n))|(~(n)&(~(k)&m))))) | 0 | 0 | 0 | 0 | not entailment |
(o&k) | ~(((k|v)>~(o))) | 1 | 0 | 0 | 0 | entailment |
((~(((o&(y&(m>v)))|n))&m)&y) | (m>((o>(b>~((k&b))))>~(n))) | 1 | 1 | 0 | 0 | entailment |
(o&k) | (m>((o>(b>~((k&b))))>~(n))) | 0 | 0 | 0 | 0 | not entailment |
((~(((o&(y&(m>v)))|n))&m)&y) | ~(((k|v)>~(o))) | 0 | 1 | 0 | 0 | not entailment |
~((v|((n|m)|k))) | ((y&((b>v)&n))>~(((v&k)&n))) | 1 | 0 | 0 | 0 | entailment |
(~((((o&y)|(k|y))>(b&~(v))))&(b&y)) | ((~((v|m))>(m&n))&~(~((~((k&v))|v)))) | 1 | 0 | 0 | 0 | entailment |
~((v|((n|m)|k))) | ((~((v|m))>(m&n))&~(~((~((k&v))|v)))) | 0 | 0 | 1 | 0 | not entailment |
(~((((o&y)|(k|y))>(b&~(v))))&(b&y)) | ((y&((b>v)&n))>~(((v&k)&n))) | 0 | 1 | 0 | 0 | not entailment |
~((b|y)) | (~((((v&m)|y)>n))>(k>v)) | 1 | 0 | 0 | 0 | entailment |
~(((((m>o)|n)&n)|o)) | (n>(k&k)) | 1 | 1 | 0 | 0 | entailment |
~((b|y)) | (n>(k&k)) | 0 | 1 | 0 | 0 | not entailment |
~(((((m>o)|n)&n)|o)) | (~((((v&m)|y)>n))>(k>v)) | 0 | 0 | 0 | 0 | not entailment |
((n&m)&y) | (m|~((k|m))) | 1 | 0 | 0 | 0 | entailment |
((y|k)&~((o|n))) | (~((o&y))|((o>k)|v)) | 1 | 0 | 0 | 0 | entailment |
((n&m)&y) | (~((o&y))|((o>k)|v)) | 0 | 0 | 0 | 0 | not entailment |
((y|k)&~((o|n))) | (m|~((k|m))) | 0 | 1 | 0 | 0 | not entailment |
~((v|(~(k)>k))) | ~(~(((v>~(m))|((o>n)>b)))) | 1 | 0 | 0 | 0 | entailment |
~(~((o|b))) | (o|b) | 1 | 1 | 1 | 1 | entailment |
~((v|(~(k)>k))) | (o|b) | 0 | 1 | 0 | 0 | not entailment |
~(~((o|b))) | ~(~(((v>~(m))|((o>n)>b)))) | 0 | 0 | 0 | 0 | not entailment |
((v&(b&m))&k) | (((y&o)>k)|((k|(n>m))&o)) | 1 | 0 | 0 | 0 | entailment |
((n>n)&((n&n)&o)) | ((k>n)>(o&o)) | 1 | 1 | 0 | 0 | entailment |
((v&(b&m))&k) | ((k>n)>(o&o)) | 0 | 1 | 0 | 0 | not entailment |
((n>n)&((n&n)&o)) | (((y&o)>k)|((k|(n>m))&o)) | 0 | 0 | 0 | 0 | not entailment |
((~(((k|n)&(k&y)))&(v&k))&o) | ((k|~(m))&((v>((k>y)|(k&o)))&o)) | 1 | 0 | 0 | 0 | entailment |
(~((~(n)|y))&(k>~(~(((b>b)&v))))) | (~(((~(((b&n)|m))&k)&~(o)))>(b|n)) | 1 | 1 | 0 | 0 | entailment |
((~(((k|n)&(k&y)))&(v&k))&o) | (~(((~(((b&n)|m))&k)&~(o)))>(b|n)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(n)|y))&(k>~(~(((b>b)&v))))) | ((k|~(m))&((v>((k>y)|(k&o)))&o)) | 0 | 1 | 0 | 0 | not entailment |
(~((y|(o&k)))&(b&((m>b)|b))) | (((n&k)>(o>~(~(~(~(b))))))|(~(k)&v)) | 1 | 0 | 0 | 0 | entailment |
((y|(((b&m)&n)|k))&(n&(b|y))) | (n|((n|m)>y)) | 1 | 1 | 1 | 0 | entailment |
(~((y|(o&k)))&(b&((m>b)|b))) | (n|((n|m)>y)) | 0 | 1 | 0 | 0 | not entailment |
((y|(((b&m)&n)|k))&(n&(b|y))) | (((n&k)>(o>~(~(~(~(b))))))|(~(k)&v)) | 0 | 0 | 0 | 0 | not entailment |
((n|(y&(y>~(k))))&n) | (~(b)>(n|v)) | 1 | 1 | 0 | 0 | entailment |
(~(((y>(~(k)>o))|n))|(((m>b)>b)&(m&o))) | ((k>n)>(o>m)) | 1 | 1 | 1 | 0 | entailment |
((n|(y&(y>~(k))))&n) | ((k>n)>(o>m)) | 0 | 1 | 0 | 0 | not entailment |
(~(((y>(~(k)>o))|n))|(((m>b)>b)&(m&o))) | (~(b)>(n|v)) | 0 | 1 | 0 | 0 | not entailment |
(~(o)|(o&m)) | ((m|k)|(~(o)|(n|k))) | 1 | 0 | 0 | 0 | entailment |
(y&(v&((~((o>y))|(n|b))&(m>~(n))))) | (y|o) | 1 | 1 | 1 | 1 | entailment |
(~(o)|(o&m)) | (y|o) | 0 | 1 | 0 | 0 | not entailment |
(y&(v&((~((o>y))|(n|b))&(m>~(n))))) | ((m|k)|(~(o)|(n|k))) | 0 | 1 | 0 | 0 | not entailment |
~((~((y&m))|~(o))) | (y|~(v)) | 1 | 1 | 0 | 0 | entailment |
~(((v|m)>(n>y))) | ((v&n)>~((((y&y)|(((n&b)&v)&y))&(k>n)))) | 1 | 0 | 0 | 0 | entailment |
~((~((y&m))|~(o))) | ((v&n)>~((((y&y)|(((n&b)&v)&y))&(k>n)))) | 0 | 0 | 0 | 0 | not entailment |
~(((v|m)>(n>y))) | (y|~(v)) | 0 | 1 | 1 | 0 | not entailment |
~(~((m&k))) | (k|y) | 1 | 1 | 0 | 0 | entailment |
(~(((m&v)>n))&b) | ((~(n)&v)|(((~((~(m)>m))&(k&m))|m)&o)) | 1 | 0 | 0 | 0 | entailment |
~(~((m&k))) | ((~(n)&v)|(((~((~(m)>m))&(k&m))|m)&o)) | 0 | 0 | 0 | 0 | not entailment |
(~(((m&v)>n))&b) | (k|y) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((n>v)))) | (b>((m|(~(v)&n))|k)) | 1 | 0 | 0 | 0 | entailment |
~((((m|v)>~((y>m)))|((n&v)&k))) | (m|((v|b)|y)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((n>v)))) | (m|((v|b)|y)) | 0 | 1 | 0 | 0 | not entailment |
~((((m|v)>~((y>m)))|((n&v)&k))) | (b>((m|(~(v)&n))|k)) | 0 | 1 | 0 | 0 | not entailment |
((~(b)>n)&((((~(n)&v)>b)>~((k>o)))&v)) | ((m&o)>(k&(n|n))) | 1 | 1 | 0 | 0 | entailment |
((~(~((y|b)))>(o|v))&~(~(o))) | (~(~(v))>(o|y)) | 1 | 1 | 1 | 0 | entailment |
((~(b)>n)&((((~(n)&v)>b)>~((k>o)))&v)) | (~(~(v))>(o|y)) | 0 | 1 | 0 | 0 | not entailment |
((~(~((y|b)))>(o|v))&~(~(o))) | ((m&o)>(k&(n|n))) | 0 | 1 | 0 | 0 | not entailment |
(k&(v&o)) | ~(((k>(k&n))&~((~(n)|v)))) | 1 | 0 | 0 | 0 | entailment |
(m&n) | (((~(v)&k)>~((~(m)&(~(b)>y))))>n) | 1 | 0 | 0 | 0 | entailment |
(k&(v&o)) | (((~(v)&k)>~((~(m)&(~(b)>y))))>n) | 0 | 0 | 0 | 0 | not entailment |
(m&n) | ~(((k>(k&n))&~((~(n)|v)))) | 0 | 0 | 0 | 0 | not entailment |
((((k>b)&(o&k))&v)&(n>m)) | (((y&o)>((k&k)>~(~(((v|~(k))>o)))))>b) | 1 | 0 | 0 | 0 | entailment |
((~(~(~((m&(n|o)))))&(m|n))&o) | ((n&(m>b))|~((~((y&n))|b))) | 1 | 1 | 0 | 0 | entailment |
((((k>b)&(o&k))&v)&(n>m)) | ((n&(m>b))|~((~((y&n))|b))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(~((m&(n|o)))))&(m|n))&o) | (((y&o)>((k&k)>~(~(((v|~(k))>o)))))>b) | 0 | 0 | 0 | 0 | not entailment |
((z>l)>z) | ((l>z)|((z&l)&(((z>b)|(b|(n&b)))&l))) | 1 | 0 | 0 | 0 | entailment |
(~(~(b))>(b>~(b))) | ~((~(~((l>((b|n)>~(b)))))>b)) | 1 | 0 | 0 | 0 | entailment |
((z>l)>z) | ~((~(~((l>((b|n)>~(b)))))>b)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(b))>(b>~(b))) | ((l>z)|((z&l)&(((z>b)|(b|(n&b)))&l))) | 0 | 0 | 0 | 0 | not entailment |
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