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 |
|---|---|---|---|---|---|---|
(b&(u&p)) | (b>i) | 0 | 1 | 0 | 0 | not entailment |
~(((n>b)|(~(~((i>p)))>((n&z)|y)))) | (~(((i|s)|i))>(b|z)) | 0 | 1 | 0 | 0 | not entailment |
((i&s)&y) | (~(~(~(b)))>s) | 1 | 0 | 0 | 0 | entailment |
((e>p)>b) | ~(~((e|(b&b)))) | 1 | 0 | 1 | 1 | entailment |
((i&s)&y) | ~(~((e|(b&b)))) | 0 | 0 | 0 | 0 | not entailment |
((e>p)>b) | (~(~(~(b)))>s) | 0 | 0 | 0 | 0 | not entailment |
((e&e)&n) | (((b>~(b))|~(~(e)))>((i|(z&i))|(n|s))) | 1 | 0 | 0 | 0 | entailment |
~(~((p&w))) | ~(~(~((~(s)&~(((~(n)&(w|i))|w)))))) | 1 | 0 | 0 | 0 | entailment |
((e&e)&n) | ~(~(~((~(s)&~(((~(n)&(w|i))|w)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((p&w))) | (((b>~(b))|~(~(e)))>((i|(z&i))|(n|s))) | 0 | 0 | 0 | 0 | not entailment |
((p|u)&(~(y)&(i&~(y)))) | (u|~(~(((b|n)|i)))) | 1 | 1 | 0 | 0 | entailment |
~(((w&e)>~((~(u)>(w&e))))) | ((n|p)|(w|((e&n)|y))) | 1 | 1 | 0 | 0 | entailment |
((p|u)&(~(y)&(i&~(y)))) | ((n|p)|(w|((e&n)|y))) | 0 | 1 | 0 | 0 | not entailment |
~(((w&e)>~((~(u)>(w&e))))) | (u|~(~(((b|n)|i)))) | 0 | 1 | 0 | 0 | not entailment |
~((w&(p>s))) | ((w>(z|b))|p) | 1 | 1 | 0 | 0 | entailment |
~(p) | (~(((p&i)>(~(~(z))>y)))>e) | 1 | 0 | 0 | 0 | entailment |
~((w&(p>s))) | (~(((p&i)>(~(~(z))>y)))>e) | 0 | 0 | 0 | 0 | not entailment |
~(p) | ((w>(z|b))|p) | 0 | 0 | 0 | 0 | not entailment |
((z|e)&(~((w|e))&~((p&~(~((s&w))))))) | (y|z) | 1 | 1 | 0 | 0 | entailment |
(n&(b|b)) | ((e|(i|b))|(~((p&b))>u)) | 1 | 0 | 0 | 0 | entailment |
((z|e)&(~((w|e))&~((p&~(~((s&w))))))) | ((e|(i|b))|(~((p&b))>u)) | 0 | 1 | 0 | 0 | not entailment |
(n&(b|b)) | (y|z) | 0 | 1 | 0 | 0 | not entailment |
(y&(((n&(n&n))&b)&(~((s>~(w)))&b))) | (~(w)|s) | 1 | 1 | 1 | 0 | entailment |
~(((p&(w&w))>i)) | ((u&(((b>(s>e))&w)>w))|((u|z)>(~(i)|e))) | 1 | 0 | 0 | 0 | entailment |
(y&(((n&(n&n))&b)&(~((s>~(w)))&b))) | ((u&(((b>(s>e))&w)>w))|((u|z)>(~(i)|e))) | 0 | 0 | 0 | 0 | not entailment |
~(((p&(w&w))>i)) | (~(w)|s) | 0 | 1 | 0 | 0 | not entailment |
(b&(z>((p&(e|(s|n)))&z))) | (b|(~((p|(u|i)))|(n&n))) | 1 | 1 | 0 | 0 | entailment |
((((w|n)>u)>((n|i)&(y>e)))&(~(n)&(u&z))) | (~((n>p))|(w>i)) | 1 | 1 | 0 | 0 | entailment |
(b&(z>((p&(e|(s|n)))&z))) | (~((n>p))|(w>i)) | 0 | 1 | 0 | 0 | not entailment |
((((w|n)>u)>((n|i)&(y>e)))&(~(n)&(u&z))) | (b|(~((p|(u|i)))|(n&n))) | 0 | 1 | 0 | 0 | not entailment |
(s&(b&u)) | (n>u) | 1 | 1 | 0 | 0 | entailment |
(p&((i>((b&u)|y))&((z&(i&z))>(y&s)))) | (((~((p>b))>(s|u))>z)|((e|e)|p)) | 1 | 1 | 0 | 0 | entailment |
(s&(b&u)) | (((~((p>b))>(s|u))>z)|((e|e)|p)) | 0 | 0 | 0 | 0 | not entailment |
(p&((i>((b&u)|y))&((z&(i&z))>(y&s)))) | (n>u) | 0 | 1 | 0 | 0 | not entailment |
((z&((u|(b|y))&(y&u)))&y) | ((n>~(~((y>(e>p)))))|(p|u)) | 1 | 0 | 0 | 0 | entailment |
(i&s) | ((s|~((b&b)))|(((y>i)&(n|y))|p)) | 1 | 0 | 0 | 0 | entailment |
((z&((u|(b|y))&(y&u)))&y) | ((s|~((b&b)))|(((y>i)&(n|y))|p)) | 0 | 0 | 0 | 0 | not entailment |
(i&s) | ((n>~(~((y>(e>p)))))|(p|u)) | 0 | 0 | 0 | 0 | not entailment |
~((~(((e|u)&w))|(p&e))) | ((e>w)|(((b|u)>y)>(i|b))) | 1 | 1 | 0 | 0 | entailment |
(u&z) | ((b&n)>u) | 1 | 0 | 0 | 0 | entailment |
~((~(((e|u)&w))|(p&e))) | ((b&n)>u) | 0 | 1 | 0 | 0 | not entailment |
(u&z) | ((e>w)|(((b|u)>y)>(i|b))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~((y|(b|u)))&~((~(i)|e))))) | (i&i) | 1 | 1 | 1 | 1 | entailment |
~(z) | (z>~((~((u&y))|~(~(b))))) | 1 | 0 | 0 | 0 | entailment |
~(~((~((y|(b|u)))&~((~(i)|e))))) | (z>~((~((u&y))|~(~(b))))) | 0 | 1 | 0 | 0 | not entailment |
~(z) | (i&i) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((b&z)&~((e&e)))))&~(((s>s)&n))) | ((~((u|n))|e)>~(u)) | 1 | 1 | 0 | 0 | entailment |
(p|(p&((p|(z&(e|e)))>s))) | ((p>w)>(b>w)) | 1 | 1 | 0 | 0 | entailment |
(~(~(((b&z)&~((e&e)))))&~(((s>s)&n))) | ((p>w)>(b>w)) | 0 | 1 | 0 | 0 | not entailment |
(p|(p&((p|(z&(e|e)))>s))) | ((~((u|n))|e)>~(u)) | 0 | 1 | 0 | 0 | not entailment |
~(((n>((u|n)&u))|((i>e)|b))) | (~(((w&p)&u))|(z>s)) | 1 | 1 | 0 | 0 | entailment |
~(~(w)) | ((w|b)|(~((p|(p|z)))|w)) | 1 | 0 | 0 | 0 | entailment |
~(((n>((u|n)&u))|((i>e)|b))) | ((w|b)|(~((p|(p|z)))|w)) | 0 | 1 | 0 | 0 | not entailment |
~(~(w)) | (~(((w&p)&u))|(z>s)) | 0 | 0 | 0 | 0 | not entailment |
((~((e>z))>(n>u))&(s&(p&y))) | (p|y) | 1 | 1 | 1 | 1 | entailment |
~(((n|e)|~(s))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
((~((e>z))>(n>u))&(s&(p&y))) | ~(n) | 0 | 1 | 1 | 1 | not entailment |
~(((n|e)|~(s))) | (p|y) | 0 | 1 | 0 | 0 | not entailment |
(w&(u&~(((p&y)>~(u))))) | ((p>(n>i))|u) | 1 | 1 | 0 | 0 | entailment |
~(((y&i)|~(~((s>((w>e)>((b|e)&w))))))) | ((w&((p&e)&(e&e)))|(w>b)) | 1 | 1 | 0 | 0 | entailment |
(w&(u&~(((p&y)>~(u))))) | ((w&((p&e)&(e&e)))|(w>b)) | 0 | 1 | 0 | 0 | not entailment |
~(((y&i)|~(~((s>((w>e)>((b|e)&w))))))) | ((p>(n>i))|u) | 0 | 1 | 0 | 0 | not entailment |
(b&i) | (~(b)>((((b>i)>(p&z))>(s>b))|e)) | 1 | 0 | 0 | 0 | entailment |
((z|(w|~((b&e))))>s) | (w>(((e&~((z|w)))|(~((z>~(y)))&i))|s)) | 1 | 0 | 0 | 0 | entailment |
(b&i) | (w>(((e&~((z|w)))|(~((z>~(y)))&i))|s)) | 0 | 0 | 0 | 0 | not entailment |
((z|(w|~((b&e))))>s) | (~(b)>((((b>i)>(p&z))>(s>b))|e)) | 0 | 0 | 0 | 0 | not entailment |
(((((j>o)&(o&p))|m)&~((x|p)))&f) | ~(~(((x&((m>((m&o)|o))&(e>p)))>z))) | 1 | 0 | 0 | 0 | entailment |
~(~(((j&(p&e))&(m&e)))) | ((f&x)|(e|e)) | 1 | 1 | 0 | 0 | entailment |
(((((j>o)&(o&p))|m)&~((x|p)))&f) | ((f&x)|(e|e)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((j&(p&e))&(m&e)))) | ~(~(((x&((m>((m&o)|o))&(e>p)))>z))) | 0 | 0 | 0 | 0 | not entailment |
~((~(m)&p)) | (((o>o)>(~(x)>e))|(p>m)) | 1 | 0 | 0 | 0 | entailment |
((((f&z)&(m>f))&p)&(z>o)) | (~((j|(e>z)))>~(((z&p)>((e|e)>e)))) | 1 | 0 | 0 | 0 | entailment |
~((~(m)&p)) | (~((j|(e>z)))>~(((z&p)>((e|e)>e)))) | 0 | 0 | 0 | 0 | not entailment |
((((f&z)&(m>f))&p)&(z>o)) | (((o>o)>(~(x)>e))|(p>m)) | 0 | 1 | 0 | 0 | not entailment |
~(((j&o)>((f>p)>~(e)))) | (~((j>m))|(~(m)|(e&j))) | 1 | 1 | 0 | 0 | entailment |
~((~(j)>(x>f))) | ~(((z|~(f))&f)) | 1 | 1 | 0 | 0 | entailment |
~(((j&o)>((f>p)>~(e)))) | ~(((z|~(f))&f)) | 0 | 1 | 0 | 0 | not entailment |
~((~(j)>(x>f))) | (~((j>m))|(~(m)|(e&j))) | 0 | 0 | 0 | 0 | not entailment |
(~(((f&(f&p))>(e>m)))&((p|j)>((j&o)|o))) | (j>e) | 1 | 1 | 1 | 1 | entailment |
((~(f)>(m|((p|z)|m)))&x) | (f>x) | 1 | 1 | 1 | 0 | entailment |
(~(((f&(f&p))>(e>m)))&((p|j)>((j&o)|o))) | (f>x) | 0 | 1 | 0 | 0 | not entailment |
((~(f)>(m|((p|z)|m)))&x) | (j>e) | 0 | 1 | 0 | 0 | not entailment |
~((x>(m|z))) | ((~((~(x)>p))&((z>~(m))>(e|x)))>p) | 1 | 0 | 0 | 0 | entailment |
~((~(~(o))>(((m|~((x>o)))>x)>x))) | ((~(p)|o)|~(~(~(j)))) | 1 | 1 | 0 | 0 | entailment |
~((x>(m|z))) | ((~(p)|o)|~(~(~(j)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(o))>(((m|~((x>o)))>x)>x))) | ((~((~(x)>p))&((z>~(m))>(e|x)))>p) | 0 | 1 | 0 | 0 | not entailment |
~(((p>((f>e)&~(e)))|f)) | ~((~(e)&f)) | 1 | 1 | 1 | 1 | entailment |
~((((~(o)|j)|j)>(z>((p|(o&j))|(z>p))))) | ((j>f)>(z|(z|(m&e)))) | 1 | 1 | 0 | 0 | entailment |
~(((p>((f>e)&~(e)))|f)) | ((j>f)>(z|(z|(m&e)))) | 0 | 1 | 0 | 0 | not entailment |
~((((~(o)|j)|j)>(z>((p|(o&j))|(z>p))))) | ~((~(e)&f)) | 0 | 1 | 0 | 0 | not entailment |
~(((f&(z|f))>(p>~((z>(x>~(z))))))) | (f|(x|x)) | 1 | 1 | 1 | 0 | entailment |
~(~(~((((o|e)>(z|e))|e)))) | ~((((z>e)|x)&(e&x))) | 1 | 1 | 0 | 0 | entailment |
~(((f&(z|f))>(p>~((z>(x>~(z))))))) | ~((((z>e)|x)&(e&x))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((o|e)>(z|e))|e)))) | (f|(x|x)) | 0 | 1 | 0 | 0 | not entailment |
(~((o|(o&(p|j))))&(p&p)) | ((j>(m|p))|((e&j)|((o|m)&((p|e)>z)))) | 1 | 0 | 0 | 0 | entailment |
(~((j>(z>m)))&(o>(x>m))) | (~(~((~(p)|z)))|((m&~(j))&p)) | 1 | 0 | 0 | 0 | entailment |
(~((o|(o&(p|j))))&(p&p)) | (~(~((~(p)|z)))|((m&~(j))&p)) | 0 | 0 | 0 | 0 | not entailment |
(~((j>(z>m)))&(o>(x>m))) | ((j>(m|p))|((e&j)|((o|m)&((p|e)>z)))) | 0 | 0 | 0 | 0 | not entailment |
(z&~(j)) | ~(((j|(m&j))&z)) | 1 | 0 | 0 | 0 | entailment |
~(((~(~((~((x|f))&p)))>((f&e)>f))>o)) | ((z&x)>((x|(~(m)&j))&((o&m)>j))) | 1 | 1 | 0 | 0 | entailment |
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