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 |
|---|---|---|---|---|---|---|
(~((x|(~(~(u))&o)))&~((~(~(o))>k))) | ((f&y)>z) | 0 | 1 | 0 | 0 | not entailment |
~(~(((y|(~((u>x))>z))&z))) | ((x>~(n))|m) | 0 | 1 | 0 | 0 | not entailment |
((m>((o|f)>((y&o)&f)))&~(~(~((m|y))))) | ((~(b)|~(~(~((y&f)))))|(o|u)) | 1 | 1 | 0 | 0 | entailment |
~(((((b>x)&b)|m)>~(~((n>o))))) | (o>(x&y)) | 1 | 1 | 0 | 0 | entailment |
((m>((o|f)>((y&o)&f)))&~(~(~((m|y))))) | (o>(x&y)) | 0 | 1 | 0 | 0 | not entailment |
~(((((b>x)&b)|m)>~(~((n>o))))) | ((~(b)|~(~(~((y&f)))))|(o|u)) | 0 | 1 | 0 | 0 | not entailment |
((((k>y)|(y|(u|n)))>(k&b))&(~(n)>~(y))) | (((k&(y>m))|y)|((~(o)>~(m))&~(k))) | 1 | 1 | 0 | 0 | entailment |
(((f>(x|k))|~(f))&(m&u)) | (~(((o>(u>n))&~((~(x)|~(o)))))|m) | 1 | 0 | 0 | 0 | entailment |
((((k>y)|(y|(u|n)))>(k&b))&(~(n)>~(y))) | (~(((o>(u>n))&~((~(x)|~(o)))))|m) | 0 | 1 | 0 | 0 | not entailment |
(((f>(x|k))|~(f))&(m&u)) | (((k&(y>m))|y)|((~(o)>~(m))&~(k))) | 0 | 0 | 0 | 0 | not entailment |
(y>z) | ((n|(~(y)|(~(m)>z)))|~(~(z))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((y>~(x))))) | ((k>u)>y) | 1 | 1 | 0 | 0 | entailment |
(y>z) | ((k>u)>y) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((y>~(x))))) | ((n|(~(y)|(~(m)>z)))|~(~(z))) | 0 | 0 | 0 | 0 | not entailment |
~(((u&y)|o)) | (b|(m>(o>b))) | 1 | 1 | 0 | 0 | entailment |
~(~(((z>k)&~((u|k))))) | (~(f)>~(z)) | 1 | 1 | 0 | 0 | entailment |
~(((u&y)|o)) | (~(f)>~(z)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((z>k)&~((u|k))))) | (b|(m>(o>b))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(o))&((m&y)>((m>~(x))|(u|o)))) | (~((~(y)&~(~(~(n)))))|o) | 1 | 1 | 0 | 0 | entailment |
(z&~(k)) | ((f&u)>(z&(b>z))) | 1 | 0 | 0 | 0 | entailment |
(~(~(o))&((m&y)>((m>~(x))|(u|o)))) | ((f&u)>(z&(b>z))) | 0 | 1 | 0 | 0 | not entailment |
(z&~(k)) | (~((~(y)&~(~(~(n)))))|o) | 0 | 0 | 0 | 0 | not entailment |
~(((m|(~((o&u))|~(y)))&(x|(z|f)))) | ((x>((z>y)&n))|(n|(z|o))) | 1 | 1 | 0 | 0 | entailment |
(k&u) | (o>u) | 1 | 1 | 0 | 0 | entailment |
~(((m|(~((o&u))|~(y)))&(x|(z|f)))) | (o>u) | 0 | 1 | 1 | 0 | not entailment |
(k&u) | ((x>((z>y)&n))|(n|(z|o))) | 0 | 0 | 0 | 0 | not entailment |
~(~((y&m))) | (~(((b>m)|(n|z)))>~(~((k>n)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(k))|b)&(((o>u)>(z>z))&b)) | ~(~((y>(b|(y&k))))) | 1 | 1 | 0 | 0 | entailment |
~(~((y&m))) | ~(~((y>(b|(y&k))))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(k))|b)&(((o>u)>(z>z))&b)) | (~(((b>m)|(n|z)))>~(~((k>n)))) | 0 | 1 | 0 | 0 | not entailment |
(k&(k>x)) | ((f&x)|((x|x)|z)) | 1 | 0 | 0 | 0 | entailment |
((((o|u)&m)>((k&(~(b)|m))>(o&n)))>m) | (o>m) | 1 | 1 | 1 | 1 | entailment |
(k&(k>x)) | (o>m) | 0 | 1 | 0 | 0 | not entailment |
((((o|u)&m)>((k&(~(b)|m))>(o&n)))>m) | ((f&x)|((x|x)|z)) | 0 | 1 | 0 | 0 | not entailment |
(((x>y)>k)&m) | (~((~(f)|m))>((x&(z>z))|(k|x))) | 1 | 0 | 0 | 0 | entailment |
((z>(u&z))&~(((k|(m|z))|(z&f)))) | (((z&y)>(o|~(k)))&(m>((o|m)>(b|u)))) | 1 | 0 | 0 | 0 | entailment |
(((x>y)>k)&m) | (((z&y)>(o|~(k)))&(m>((o|m)>(b|u)))) | 0 | 0 | 0 | 0 | not entailment |
((z>(u&z))&~(((k|(m|z))|(z&f)))) | (~((~(f)|m))>((x&(z>z))|(k|x))) | 0 | 1 | 0 | 0 | not entailment |
~(o) | ((~((b>m))|m)|~((u&o))) | 1 | 0 | 0 | 0 | entailment |
~(~((n&(x|x)))) | (~(((k&y)&y))>((n|n)|~((z|m)))) | 1 | 0 | 0 | 0 | entailment |
~(o) | (~(((k&y)&y))>((n|n)|~((z|m)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((n&(x|x)))) | ((~((b>m))|m)|~((u&o))) | 0 | 0 | 0 | 0 | not entailment |
(~((n>(m|f)))&~(((x&b)>k))) | (~((f>x))>(n>(~(f)&m))) | 1 | 1 | 1 | 0 | entailment |
(f&n) | ~(~((((((z>k)&(n&b))&(x&(m>x)))>f)|o))) | 1 | 0 | 0 | 0 | entailment |
(~((n>(m|f)))&~(((x&b)>k))) | ~(~((((((z>k)&(n&b))&(x&(m>x)))>f)|o))) | 0 | 0 | 0 | 0 | not entailment |
(f&n) | (~((f>x))>(n>(~(f)&m))) | 0 | 0 | 0 | 0 | not entailment |
((f&u)&m) | ((k>(n|~((f|z))))|u) | 1 | 0 | 0 | 0 | entailment |
~(~(~((o>y)))) | ((x>(u>n))>~(y)) | 1 | 1 | 0 | 0 | entailment |
((f&u)&m) | ((x>(u>n))>~(y)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((o>y)))) | ((k>(n|~((f|z))))|u) | 0 | 0 | 0 | 0 | not entailment |
((y&((x>o)|(y|m)))&((x>b)&o)) | ((n|~(x))|(y&o)) | 1 | 1 | 0 | 0 | entailment |
~((f>(((z&z)|b)>u))) | ((f>m)>f) | 1 | 1 | 0 | 0 | entailment |
((y&((x>o)|(y|m)))&((x>b)&o)) | ((f>m)>f) | 0 | 1 | 0 | 0 | not entailment |
~((f>(((z&z)|b)>u))) | ((n|~(x))|(y&o)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(k))&((y&(m&f))&(o&(y&u))))&~(z)) | ((((u|x)|(f>y))|(z>b))>o) | 1 | 1 | 0 | 0 | entailment |
((y|o)>(z&~(z))) | (~(y)|~((~(~((k>~((x>o)))))>(o|u)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(k))&((y&(m&f))&(o&(y&u))))&~(z)) | (~(y)|~((~(~((k>~((x>o)))))>(o|u)))) | 0 | 1 | 0 | 0 | not entailment |
((y|o)>(z&~(z))) | ((((u|x)|(f>y))|(z>b))>o) | 0 | 0 | 0 | 0 | not entailment |
~((o>(~(u)>(y>k)))) | ((y&n)>(u>(n>m))) | 1 | 1 | 0 | 0 | entailment |
(~((~(o)&~(~((b|(y&o))))))&(z&(b&f))) | ((((f&z)>z)>b)|~(((x&f)|(~(n)>(f|m))))) | 1 | 1 | 0 | 0 | entailment |
~((o>(~(u)>(y>k)))) | ((((f&z)>z)>b)|~(((x&f)|(~(n)>(f|m))))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(o)&~(~((b|(y&o))))))&(z&(b&f))) | ((y&n)>(u>(n>m))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((b>y))&(x|n))>n)) | ((~(b)&n)|~(((x>~(b))&((k>b)|(f|k))))) | 1 | 0 | 0 | 0 | entailment |
~((((k>f)&y)>(y&(n>((f>x)&u))))) | ~((k&~(f))) | 1 | 1 | 1 | 1 | entailment |
~(((~((b>y))&(x|n))>n)) | ~((k&~(f))) | 0 | 1 | 0 | 0 | not entailment |
~((((k>f)&y)>(y&(n>((f>x)&u))))) | ((~(b)&n)|~(((x>~(b))&((k>b)|(f|k))))) | 0 | 0 | 0 | 0 | not entailment |
(((f|y)|~(f))>z) | (z|((~(n)&(y&f))>(m>x))) | 1 | 0 | 0 | 0 | entailment |
(~((k&u))&m) | ~(~((~((((u&o)|m)|n))>(b&o)))) | 1 | 0 | 0 | 0 | entailment |
(((f|y)|~(f))>z) | ~(~((~((((u&o)|m)|n))>(b&o)))) | 0 | 0 | 0 | 0 | not entailment |
(~((k&u))&m) | (z|((~(n)&(y&f))>(m>x))) | 0 | 0 | 0 | 0 | not entailment |
((~(y)>x)&z) | (z|~((~(f)&(b|y)))) | 1 | 0 | 0 | 0 | entailment |
(b|b) | (x>b) | 1 | 1 | 0 | 0 | entailment |
((~(y)>x)&z) | (x>b) | 0 | 1 | 0 | 0 | not entailment |
(b|b) | (z|~((~(f)&(b|y)))) | 0 | 0 | 0 | 0 | not entailment |
((m>(k&u))&(~((o>z))|(u|(z>o)))) | ~(~((m>k))) | 1 | 1 | 1 | 1 | entailment |
((k|b)&(f&u)) | (u|b) | 1 | 1 | 1 | 1 | entailment |
((m>(k&u))&(~((o>z))|(u|(z>o)))) | (u|b) | 0 | 1 | 0 | 0 | not entailment |
((k|b)&(f&u)) | ~(~((m>k))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((w>c)))) | (((d&~((~(((h|c)&h))&(o&e))))&o)>(y|w)) | 1 | 0 | 0 | 0 | entailment |
(h&d) | ((d|z)|(o&~((c|d)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((w>c)))) | ((d|z)|(o&~((c|d)))) | 0 | 0 | 0 | 0 | not entailment |
(h&d) | (((d&~((~(((h|c)&h))&(o&e))))&o)>(y|w)) | 0 | 0 | 0 | 0 | not entailment |
(e&~((~(c)>((e&z)>(d|(h&(c|o))))))) | ((z&(z|~((e>y))))&((d>o)>(z|y))) | 1 | 1 | 0 | 0 | entailment |
(y|d) | (((y&(~(o)|w))|(d|~(z)))|o) | 1 | 0 | 0 | 0 | entailment |
(e&~((~(c)>((e&z)>(d|(h&(c|o))))))) | (((y&(~(o)|w))|(d|~(z)))|o) | 0 | 1 | 0 | 0 | not entailment |
(y|d) | ((z&(z|~((e>y))))&((d>o)>(z|y))) | 0 | 0 | 0 | 0 | not entailment |
~(((e&(z>(~(i)>(d&d))))|(e>i))) | (~(i)|(c&(z|z))) | 1 | 1 | 0 | 0 | entailment |
~((c>h)) | (~(y)>c) | 1 | 1 | 0 | 0 | entailment |
~(((e&(z>(~(i)>(d&d))))|(e>i))) | (~(y)>c) | 0 | 1 | 0 | 0 | not entailment |
~((c>h)) | (~(i)|(c&(z|z))) | 0 | 0 | 0 | 0 | not entailment |
(((d&w)>(~((h|d))|w))>(c&e)) | (e|h) | 1 | 1 | 1 | 1 | entailment |
((c&~((c|d)))|(z&z)) | ((y>~((h>d)))>z) | 1 | 1 | 0 | 0 | entailment |
(((d&w)>(~((h|d))|w))>(c&e)) | ((y>~((h>d)))>z) | 0 | 1 | 0 | 0 | not entailment |
((c&~((c|d)))|(z&z)) | (e|h) | 0 | 1 | 0 | 0 | not entailment |
(~((e|w))&~((e|(h>((d|i)|d))))) | ~((((i|~((d&c)))|((z|o)>d))&d)) | 1 | 1 | 0 | 0 | entailment |
((((z|(z|y))|((h|z)>y))&(y&z))&((c>w)|c)) | ((e>c)>y) | 1 | 1 | 0 | 0 | entailment |
(~((e|w))&~((e|(h>((d|i)|d))))) | ((e>c)>y) | 0 | 1 | 0 | 0 | not entailment |
((((z|(z|y))|((h|z)>y))&(y&z))&((c>w)|c)) | ~((((i|~((d&c)))|((z|o)>d))&d)) | 0 | 1 | 0 | 0 | not entailment |
(~(((c&h)>i))&((~(c)>(i|(c&(z&y))))>z)) | (d>z) | 1 | 1 | 0 | 0 | entailment |
~((e>(o>y))) | ((e>(~(z)&((y&d)&~(c))))>((y>w)|d)) | 1 | 0 | 0 | 0 | entailment |
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