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 |
|---|---|---|---|---|---|---|
((y>x)&((q&d)&(i&i))) | (d&i) | 1 | 1 | 1 | 1 | entailment |
(~((i|x))&~(d)) | (d&i) | 0 | 1 | 1 | 0 | not entailment |
((y>x)&((q&d)&(i&i))) | ((y|(i>(x|x)))|~((d&(i&i)))) | 0 | 0 | 1 | 0 | not entailment |
(x&y) | (l>y) | 1 | 1 | 0 | 0 | entailment |
~((((x&l)>(j|q))|(y|(i>(d>n))))) | ((l&(l|((l|j)>n)))|((~(~(l))&~(j))&d)) | 1 | 0 | 1 | 0 | entailment |
(x&y) | ((l&(l|((l|j)>n)))|((~(~(l))&~(j))&d)) | 0 | 0 | 0 | 0 | not entailment |
~((((x&l)>(j|q))|(y|(i>(d>n))))) | (l>y) | 0 | 1 | 1 | 0 | not entailment |
(q&d) | (((j>l)>d)>q) | 1 | 0 | 0 | 0 | entailment |
((j>((n>(n|n))|(j&(d>j))))&i) | ~(~(((q&i)|(q>~((x&l)))))) | 1 | 1 | 0 | 0 | entailment |
(q&d) | ~(~(((q&i)|(q>~((x&l)))))) | 0 | 0 | 0 | 0 | not entailment |
((j>((n>(n|n))|(j&(d>j))))&i) | (((j>l)>d)>q) | 0 | 1 | 0 | 0 | not entailment |
~(((j|((n|(i&y))|l))|~(x))) | (((l|(j&l))>x)|i) | 1 | 1 | 1 | 0 | entailment |
~((~(((l|y)&d))>(n>q))) | (~(q)>(((x>n)|d)|q)) | 1 | 1 | 0 | 0 | entailment |
~(((j|((n|(i&y))|l))|~(x))) | (~(q)>(((x>n)|d)|q)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((l|y)&d))>(n>q))) | (((l|(j&l))>x)|i) | 0 | 1 | 0 | 0 | not entailment |
(j&l) | (l|i) | 1 | 1 | 0 | 0 | entailment |
~((j|((q|(n|j))&(q&d)))) | (j>q) | 1 | 1 | 1 | 0 | entailment |
(j&l) | (j>q) | 0 | 1 | 0 | 0 | not entailment |
~((j|((q|(n|j))&(q&d)))) | (l|i) | 0 | 1 | 0 | 0 | not entailment |
(d&y) | ((~((y|~((((y&j)|i)>n))))&~(q))>l) | 1 | 0 | 0 | 0 | entailment |
~((i|(((d>j)>i)|(j|j)))) | ~((q&j)) | 1 | 1 | 0 | 0 | entailment |
(d&y) | ~((q&j)) | 0 | 0 | 0 | 0 | not entailment |
~((i|(((d>j)>i)|(j|j)))) | ((~((y|~((((y&j)|i)>n))))&~(q))>l) | 0 | 0 | 0 | 0 | not entailment |
(l&~((((y|(l|q))&n)>(j|(i>d))))) | (~(q)>((i|(~(q)|(i>i)))>(n&~(j)))) | 1 | 0 | 1 | 0 | entailment |
(~(y)&~((~(n)>(x>~((j|x)))))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
(l&~((((y|(l|q))&n)>(j|(i>d))))) | ~(n) | 0 | 1 | 1 | 0 | not entailment |
(~(y)&~((~(n)>(x>~((j|x)))))) | (~(q)>((i|(~(q)|(i>i)))>(n&~(j)))) | 0 | 0 | 0 | 0 | not entailment |
(~((((((b|e)>e)&i)|(i&i))>k))&~(b)) | ~(~((p|(p|i)))) | 1 | 1 | 0 | 0 | entailment |
(((((e&i)|((k&(k&i))|o))&o)&k)&o) | (((i|o)>k)|(e&(p|(i&o)))) | 1 | 1 | 0 | 0 | entailment |
(~((((((b|e)>e)&i)|(i&i))>k))&~(b)) | (((i|o)>k)|(e&(p|(i&o)))) | 0 | 1 | 0 | 0 | not entailment |
(((((e&i)|((k&(k&i))|o))&o)&k)&o) | ~(~((p|(p|i)))) | 0 | 1 | 0 | 0 | not entailment |
(k&~(o)) | (((o>(b>(k|i)))>((k|o)&e))>(~(i)>e)) | 1 | 0 | 0 | 0 | entailment |
((p&(o&(e>k)))&(b|(o>b))) | (o|(~(~((b&~(i))))&~((e>~(b))))) | 1 | 0 | 0 | 0 | entailment |
(k&~(o)) | (o|(~(~((b&~(i))))&~((e>~(b))))) | 0 | 0 | 0 | 0 | not entailment |
((p&(o&(e>k)))&(b|(o>b))) | (((o>(b>(k|i)))>((k|o)&e))>(~(i)>e)) | 0 | 0 | 0 | 0 | not entailment |
((k|o)&((~(i)|b)&(k&e))) | (~(~((~(p)|k)))&e) | 1 | 1 | 0 | 0 | entailment |
~(o) | ~((((p>o)&(e&o))&(b|b))) | 1 | 0 | 0 | 0 | entailment |
((k|o)&((~(i)|b)&(k&e))) | ~((((p>o)&(e&o))&(b|b))) | 0 | 1 | 0 | 0 | not entailment |
~(o) | (~(~((~(p)|k)))&e) | 0 | 0 | 0 | 0 | not entailment |
~(((k>(p>(k>i)))&(i|(((o>e)|(e|p))&b)))) | ((((k>e)|p)&(k&o))>~((e&i))) | 1 | 1 | 1 | 0 | entailment |
((k|k)&k) | (((o&~((o&e)))&e)|(i|k)) | 1 | 0 | 0 | 0 | entailment |
~(((k>(p>(k>i)))&(i|(((o>e)|(e|p))&b)))) | (((o&~((o&e)))&e)|(i|k)) | 0 | 1 | 1 | 0 | not entailment |
((k|k)&k) | ((((k>e)|p)&(k&o))>~((e&i))) | 0 | 0 | 0 | 0 | not entailment |
(~((k&e))&k) | (o|k) | 1 | 1 | 0 | 0 | entailment |
~((k|p)) | ~(((k|k)&(i>o))) | 1 | 0 | 0 | 0 | entailment |
(~((k&e))&k) | ~(((k|k)&(i>o))) | 0 | 0 | 0 | 0 | not entailment |
~((k|p)) | (o|k) | 0 | 1 | 0 | 0 | not entailment |
(k&i) | (k>i) | 1 | 1 | 1 | 0 | entailment |
(~(~((o|b)))>~(~(((i&o)&p)))) | ((e|(i|((i>b)|k)))&((o&i)>(b>p))) | 1 | 1 | 0 | 0 | entailment |
(k&i) | ((e|(i|((i>b)|k)))&((o&i)>(b>p))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((o|b)))>~(~(((i&o)&p)))) | (k>i) | 0 | 1 | 0 | 0 | not entailment |
(((((e&o)|k)&p)|((b|~(e))>(b|e)))&(b&b)) | (((i|b)|b)|((b|i)|~((((o&p)>e)|e)))) | 1 | 1 | 0 | 0 | entailment |
(((o&k)>(p&(k>k)))&((p|o)|o)) | ((p&e)|(o|(o|p))) | 1 | 1 | 0 | 0 | entailment |
(((((e&o)|k)&p)|((b|~(e))>(b|e)))&(b&b)) | ((p&e)|(o|(o|p))) | 0 | 1 | 1 | 1 | not entailment |
(((o&k)>(p&(k>k)))&((p|o)|o)) | (((i|b)|b)|((b|i)|~((((o&p)>e)|e)))) | 0 | 0 | 0 | 0 | not entailment |
(((i&i)|(p&o))&(i>o)) | ((o&p)|o) | 1 | 1 | 1 | 1 | entailment |
((~((o>e))>~(~(k)))&((e|i)&(o>i))) | (b|~(((o|b)&~(i)))) | 1 | 1 | 0 | 0 | entailment |
(((i&i)|(p&o))&(i>o)) | (b|~(((o|b)&~(i)))) | 0 | 1 | 0 | 0 | not entailment |
((~((o>e))>~(~(k)))&((e|i)&(o>i))) | ((o&p)|o) | 0 | 1 | 0 | 0 | not entailment |
(((p>i)&~((b>(p|~(~(~(i)))))))&i) | (k|(i|e)) | 1 | 1 | 0 | 0 | entailment |
(k>~(~((o|o)))) | (((k&i)&k)>o) | 1 | 1 | 0 | 0 | entailment |
(((p>i)&~((b>(p|~(~(~(i)))))))&i) | (((k&i)&k)>o) | 0 | 1 | 0 | 0 | not entailment |
(k>~(~((o|o)))) | (k|(i|e)) | 0 | 1 | 0 | 0 | not entailment |
~((((e&~((e>(p|k))))&(k&(i&e)))|k)) | ((i|k)>(~((i|i))>i)) | 1 | 1 | 1 | 0 | entailment |
(e&(e|((((o>k)|i)|k)&~((~(i)&o))))) | (i|((e|(b>p))|(p&(p>o)))) | 1 | 1 | 0 | 0 | entailment |
~((((e&~((e>(p|k))))&(k&(i&e)))|k)) | (i|((e|(b>p))|(p&(p>o)))) | 0 | 1 | 0 | 0 | not entailment |
(e&(e|((((o>k)|i)|k)&~((~(i)&o))))) | ((i|k)>(~((i|i))>i)) | 0 | 1 | 1 | 0 | not entailment |
(((~((e>e))&p)>(o&~((e|o))))>o) | (o|(p>e)) | 1 | 1 | 1 | 0 | entailment |
(~((((p|o)&b)>(b>b)))|b) | (~(~((p>i)))>(b|p)) | 1 | 1 | 0 | 0 | entailment |
(((~((e>e))&p)>(o&~((e|o))))>o) | (~(~((p>i)))>(b|p)) | 0 | 1 | 0 | 0 | not entailment |
(~((((p|o)&b)>(b>b)))|b) | (o|(p>e)) | 0 | 1 | 0 | 0 | not entailment |
~(b) | ((((p>e)>p)&(o>(i&i)))>((o>b)>~(b))) | 1 | 0 | 0 | 0 | entailment |
((k&b)&((k>e)&o)) | (i|(b&o)) | 1 | 1 | 0 | 0 | entailment |
~(b) | (i|(b&o)) | 0 | 0 | 0 | 0 | not entailment |
((k&b)&((k>e)&o)) | ((((p>e)>p)&(o>(i&i)))>((o>b)>~(b))) | 0 | 0 | 0 | 0 | not entailment |
((o&(b&o))&(~(o)>(o&b))) | (((e>e)&p)|(o&(b|i))) | 1 | 1 | 0 | 0 | entailment |
(~(((~((k>(p&o)))|k)|k))&(i&~((e|e)))) | (i|p) | 1 | 1 | 1 | 1 | entailment |
((o&(b&o))&(~(o)>(o&b))) | (i|p) | 0 | 1 | 0 | 0 | not entailment |
(~(((~((k>(p&o)))|k)|k))&(i&~((e|e)))) | (((e>e)&p)|(o&(b|i))) | 0 | 1 | 0 | 0 | not entailment |
(o&p) | (~((o|(b|k)))|o) | 1 | 0 | 0 | 0 | entailment |
~(((p|(e|o))>(~(p)>o))) | ~(~(e)) | 1 | 1 | 1 | 1 | entailment |
(o&p) | ~(~(e)) | 0 | 0 | 0 | 0 | not entailment |
~(((p|(e|o))>(~(p)>o))) | (~((o|(b|k)))|o) | 0 | 1 | 0 | 0 | not entailment |
(i&k) | (i|((p>k)|((k>b)>i))) | 1 | 0 | 0 | 0 | entailment |
~(b) | ~(((e>(k&b))&(b&o))) | 1 | 0 | 0 | 0 | entailment |
(i&k) | ~(((e>(k&b))&(b&o))) | 0 | 0 | 0 | 0 | not entailment |
~(b) | (i|((p>k)|((k>b)>i))) | 0 | 0 | 0 | 0 | not entailment |
(((i>(r|(r|r)))&(i>((p|r)|r)))&(i|(h&i))) | (((i>i)&r)|r) | 1 | 1 | 1 | 1 | entailment |
(((h>i)&(p>h))&((~(p)|h)>p)) | (p&((p|r)|i)) | 1 | 1 | 0 | 0 | entailment |
(((i>(r|(r|r)))&(i>((p|r)|r)))&(i|(h&i))) | (p&((p|r)|i)) | 0 | 1 | 1 | 1 | not entailment |
(((h>i)&(p>h))&((~(p)|h)>p)) | (((i>i)&r)|r) | 0 | 1 | 0 | 0 | not entailment |
~(~(r)) | ~(~(((r|p)&(r&r)))) | 1 | 0 | 0 | 0 | entailment |
((~(((p|h)|(i>h)))|((r&(p|r))|(r&r)))&i) | ~(~((i|p))) | 1 | 1 | 1 | 1 | entailment |
~(~(r)) | ~(~((i|p))) | 0 | 0 | 0 | 0 | not entailment |
((~(((p|h)|(i>h)))|((r&(p|r))|(r&r)))&i) | ~(~(((r|p)&(r&r)))) | 0 | 1 | 1 | 1 | not entailment |
~((~(i)>((~(h)|~(p))|r))) | ~(~((i|(p&(h>h))))) | 1 | 1 | 1 | 0 | entailment |
(((h|r)&((i|r)|(r|i)))&~(h)) | ~((r>(~(r)&~((i>(i|(i&p))))))) | 1 | 0 | 0 | 0 | entailment |
~((~(i)>((~(h)|~(p))|r))) | ~((r>(~(r)&~((i>(i|(i&p))))))) | 0 | 0 | 1 | 0 | not entailment |
(((h|r)&((i|r)|(r|i)))&~(h)) | ~(~((i|(p&(h>h))))) | 0 | 1 | 0 | 0 | not entailment |
(((r&i)&((h&r)|r))&(i|p)) | (i|((i>~(h))>(h>(h>p)))) | 1 | 1 | 1 | 0 | entailment |
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