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 |
|---|---|---|---|---|---|---|
((j|o)&~(((y|(n>n))>(b|(s|a))))) | ~(((z>~(j))&(y&(z>b)))) | 0 | 1 | 0 | 0 | not entailment |
~(((i|b)&i)) | ((i>z)|(s>(~(y)&(i>(s|(j|i)))))) | 1 | 0 | 0 | 0 | entailment |
(y&(s&o)) | (((o|z)&~((~(y)&a)))&(s|o)) | 1 | 0 | 0 | 0 | entailment |
~(((i|b)&i)) | (((o|z)&~((~(y)&a)))&(s|o)) | 0 | 0 | 0 | 0 | not entailment |
(y&(s&o)) | ((i>z)|(s>(~(y)&(i>(s|(j|i)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((i|i)|z)|~(~(y)))) | (~((z&a))|((y>y)>o)) | 1 | 1 | 0 | 0 | entailment |
(s&a) | ((((z|o)>a)>(b|n))|a) | 1 | 0 | 0 | 0 | entailment |
~((((i|i)|z)|~(~(y)))) | ((((z|o)>a)>(b|n))|a) | 0 | 1 | 0 | 0 | not entailment |
(s&a) | (~((z&a))|((y>y)>o)) | 0 | 0 | 0 | 0 | not entailment |
(i&h) | (h|z) | 1 | 1 | 0 | 0 | entailment |
(j&n) | (~((h&a))>n) | 1 | 0 | 0 | 0 | entailment |
(i&h) | (~((h&a))>n) | 0 | 0 | 0 | 0 | not entailment |
(j&n) | (h|z) | 0 | 1 | 0 | 0 | not entailment |
~(((o|h)|h)) | ~((o|o)) | 1 | 1 | 1 | 1 | entailment |
(h&y) | ((~((h&(a>a)))&((s>n)>a))|(s>y)) | 1 | 0 | 0 | 0 | entailment |
~(((o|h)|h)) | ((~((h&(a>a)))&((s>n)>a))|(s>y)) | 0 | 0 | 0 | 0 | not entailment |
(h&y) | ~((o|o)) | 0 | 0 | 0 | 0 | not entailment |
~(((a>((z&b)|o))&s)) | ((o&(y&(y|y)))>(s>z)) | 1 | 1 | 0 | 0 | entailment |
((s&a)&(s>o)) | (~(((b>o)>((h&z)&(s&a))))|h) | 1 | 0 | 0 | 0 | entailment |
~(((a>((z&b)|o))&s)) | (~(((b>o)>((h&z)&(s&a))))|h) | 0 | 0 | 0 | 0 | not entailment |
((s&a)&(s>o)) | ((o&(y&(y|y)))>(s>z)) | 0 | 0 | 0 | 0 | not entailment |
((~(a)>y)&(z&(h&o))) | ~(~((((y|o)>a)|(y|n)))) | 1 | 0 | 0 | 0 | entailment |
~(((h|i)>(~((o>a))>z))) | ((((a>j)>(i&a))&~(b))>(n>~(~(i)))) | 1 | 0 | 0 | 0 | entailment |
((~(a)>y)&(z&(h&o))) | ((((a>j)>(i&a))&~(b))>(n>~(~(i)))) | 0 | 0 | 0 | 0 | not entailment |
~(((h|i)>(~((o>a))>z))) | ~(~((((y|o)>a)|(y|n)))) | 0 | 1 | 0 | 0 | not entailment |
(~((y|z))&~((n|b))) | ((~(~((a&h)))&i)|~(z)) | 1 | 0 | 0 | 0 | entailment |
((n&o)&n) | (~((~(~((~(s)>n)))|((h|(a&o))|n)))>a) | 1 | 0 | 0 | 0 | entailment |
(~((y|z))&~((n|b))) | (~((~(~((~(s)>n)))|((h|(a&o))|n)))>a) | 0 | 0 | 0 | 0 | not entailment |
((n&o)&n) | ((~(~((a&h)))&i)|~(z)) | 0 | 0 | 0 | 0 | not entailment |
(~(((h&j)>(~(z)&o)))&b) | ((n|((a|(n>s))&(s|h)))&b) | 1 | 1 | 0 | 0 | entailment |
(o&(((s|b)|b)&~(b))) | ((((i|(i|o))|o)&s)|z) | 1 | 1 | 0 | 0 | entailment |
(~(((h&j)>(~(z)&o)))&b) | ((((i|(i|o))|o)&s)|z) | 0 | 1 | 0 | 0 | not entailment |
(o&(((s|b)|b)&~(b))) | ((n|((a|(n>s))&(s|h)))&b) | 0 | 0 | 0 | 0 | not entailment |
(((i&y)&b)&(a|i)) | (~(b)>(~((b|n))&~((s>((j&j)>(y|o)))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((y&~(~(~((y>(s&s))))))))&(y>y)) | ~(s) | 1 | 1 | 1 | 1 | entailment |
(((i&y)&b)&(a|i)) | ~(s) | 0 | 1 | 0 | 0 | not entailment |
(~(~((y&~(~(~((y>(s&s))))))))&(y>y)) | (~(b)>(~((b|n))&~((s>((j&j)>(y|o)))))) | 0 | 1 | 0 | 0 | not entailment |
((y>o)>y) | (j>y) | 1 | 1 | 0 | 0 | entailment |
(~(((a>z)>(~(n)>(b|h))))&(a>(z&b))) | (((~(n)&h)&(n>~(b)))>a) | 1 | 1 | 1 | 0 | entailment |
((y>o)>y) | (((~(n)&h)&(n>~(b)))>a) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>z)>(~(n)>(b|h))))&(a>(z&b))) | (j>y) | 0 | 1 | 0 | 0 | not entailment |
~((~(f)>(o>~(n)))) | (n&o) | 1 | 1 | 1 | 1 | entailment |
(~(((r|(((o&o)>f)&o))>((o>n)>n)))&~(f)) | ~(~(r)) | 1 | 1 | 1 | 1 | entailment |
~((~(f)>(o>~(n)))) | ~(~(r)) | 0 | 1 | 0 | 0 | not entailment |
(~(((r|(((o&o)>f)&o))>((o>n)>n)))&~(f)) | (n&o) | 0 | 1 | 1 | 1 | not entailment |
(((o&n)>o)&r) | ((r|n)|n) | 1 | 1 | 1 | 0 | entailment |
~(((r|r)&r)) | ((r&o)>~((o&(((r>n)&~(f))&n)))) | 1 | 0 | 0 | 0 | entailment |
(((o&n)>o)&r) | ((r&o)>~((o&(((r>n)&~(f))&n)))) | 0 | 0 | 0 | 0 | not entailment |
~(((r|r)&r)) | ((r|n)|n) | 0 | 1 | 0 | 0 | not entailment |
(~((~(f)&((o&(f|r))&(n>o))))>o) | ~((~((o&(f|o)))&f)) | 1 | 1 | 1 | 1 | entailment |
(n|n) | ((n|(o>f))|~(r)) | 1 | 0 | 0 | 0 | entailment |
(~((~(f)&((o&(f|r))&(n>o))))>o) | ((n|(o>f))|~(r)) | 0 | 1 | 1 | 0 | not entailment |
(n|n) | ~((~((o&(f|o)))&f)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(~((o>(r>r))))>~((f|f)))))) | (((((o>r)&~(n))&(n&(n|n)))|(o>n))>f) | 1 | 1 | 0 | 0 | entailment |
~((~(o)>r)) | ~(((~((o>f))&f)|(r&r))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(~((o>(r>r))))>~((f|f)))))) | ~(((~((o>f))&f)|(r&r))) | 0 | 1 | 1 | 0 | not entailment |
~((~(o)>r)) | (((((o>r)&~(n))&(n&(n|n)))|(o>n))>f) | 0 | 0 | 0 | 0 | not entailment |
(n&r) | (((~(n)&((n|f)&(o&o)))>f)>(n|n)) | 1 | 0 | 0 | 0 | entailment |
~(((~((f|r))|(o|f))|(((~(r)>n)&n)|f))) | (n>o) | 1 | 1 | 1 | 0 | entailment |
(n&r) | (n>o) | 0 | 1 | 0 | 0 | not entailment |
~(((~((f|r))|(o|f))|(((~(r)>n)&n)|f))) | (((~(n)&((n|f)&(o&o)))>f)>(n|n)) | 0 | 1 | 1 | 0 | not entailment |
(~((f>~((~(r)|~((o>(f|n)))))))&o) | (f&o) | 1 | 1 | 1 | 1 | entailment |
~((n&(~(r)|n))) | (o>(n>((o&o)>r))) | 1 | 1 | 0 | 0 | entailment |
(~((f>~((~(r)|~((o>(f|n)))))))&o) | (o>(n>((o&o)>r))) | 0 | 1 | 1 | 0 | not entailment |
~((n&(~(r)|n))) | (f&o) | 0 | 1 | 0 | 0 | not entailment |
(((((r&o)>o)|r)&~((f&(o&f))))&(f|f)) | ((((r|n)>(o&r))|r)|(n>(f|(~(n)|f)))) | 1 | 1 | 0 | 0 | entailment |
(~(((f&o)|f))|o) | ((r&r)>(f>o)) | 1 | 1 | 0 | 0 | entailment |
(((((r&o)>o)|r)&~((f&(o&f))))&(f|f)) | ((r&r)>(f>o)) | 0 | 1 | 1 | 1 | not entailment |
(~(((f&o)|f))|o) | ((((r|n)>(o&r))|r)|(n>(f|(~(n)|f)))) | 0 | 0 | 0 | 0 | not entailment |
(((f>r)&~(o))&~((n|f))) | (((f|n)&f)>r) | 1 | 1 | 1 | 1 | entailment |
(~(r)&(o&f)) | ~((~(((n|f)|r))&~(o))) | 1 | 0 | 0 | 0 | entailment |
(((f>r)&~(o))&~((n|f))) | ~((~(((n|f)|r))&~(o))) | 0 | 1 | 1 | 0 | not entailment |
(~(r)&(o&f)) | (((f|n)&f)>r) | 0 | 1 | 0 | 0 | not entailment |
((o&n)&~((r&(o&r)))) | ~((n&r)) | 1 | 1 | 1 | 0 | entailment |
((~(o)&(((n>o)|o)|f))&n) | (((o|o)>f)|f) | 1 | 1 | 1 | 1 | entailment |
((o&n)&~((r&(o&r)))) | (((o|o)>f)|f) | 0 | 1 | 0 | 0 | not entailment |
((~(o)&(((n>o)|o)|f))&n) | ~((n&r)) | 0 | 1 | 0 | 0 | not entailment |
((~(n)|n)>f) | ((n>o)|f) | 1 | 1 | 0 | 0 | entailment |
((((~(~(f))&f)|~((o|r)))|f)&(f>(n&r))) | ((~((((n&r)|n)|f))>r)>n) | 1 | 1 | 1 | 0 | entailment |
((~(n)|n)>f) | ((~((((n&r)|n)|f))>r)>n) | 0 | 0 | 0 | 0 | not entailment |
((((~(~(f))&f)|~((o|r)))|f)&(f>(n&r))) | ((n>o)|f) | 0 | 1 | 1 | 0 | not entailment |
(o|r) | (((r>(o&r))>((f>o)>f))|o) | 1 | 0 | 0 | 0 | entailment |
((o>(r|o))&n) | (n|(n|f)) | 1 | 1 | 0 | 0 | entailment |
(o|r) | (n|(n|f)) | 0 | 0 | 0 | 0 | not entailment |
((o>(r|o))&n) | (((r>(o&r))>((f>o)>f))|o) | 0 | 0 | 0 | 0 | not entailment |
(n&(o|((o&~(o))|~(((f|n)|(o&o)))))) | ((f>o)|~(((o|f)>f))) | 1 | 1 | 1 | 0 | entailment |
((r&f)&(f|(f|o))) | ~(((f&f)&(~((r|(r&n)))&o))) | 1 | 0 | 0 | 0 | entailment |
(n&(o|((o&~(o))|~(((f|n)|(o&o)))))) | ~(((f&f)&(~((r|(r&n)))&o))) | 0 | 1 | 0 | 0 | not entailment |
((r&f)&(f|(f|o))) | ((f>o)|~(((o|f)>f))) | 0 | 0 | 1 | 0 | not entailment |
((n>r)&((o>(r&o))|(n|~((f>n))))) | ((~(n)|(o>r))|~(~(~((o>f))))) | 1 | 1 | 1 | 0 | entailment |
~(~((f&n))) | (((f|n)|n)&(((r&f)>(o>n))|~(o))) | 1 | 0 | 0 | 0 | entailment |
((n>r)&((o>(r&o))|(n|~((f>n))))) | (((f|n)|n)&(((r&f)>(o>n))|~(o))) | 0 | 1 | 1 | 0 | not entailment |
~(~((f&n))) | ((~(n)|(o>r))|~(~(~((o>f))))) | 0 | 0 | 0 | 0 | not entailment |
(r&~((~(((o>o)&f))&r))) | (n|(~(~(((o&(f&o))&o)))>(f>r))) | 1 | 0 | 0 | 0 | entailment |
(~((f>n))&~(r)) | (n|(r>n)) | 1 | 1 | 1 | 0 | entailment |
(r&~((~(((o>o)&f))&r))) | (n|(r>n)) | 0 | 1 | 0 | 0 | not entailment |
(~((f>n))&~(r)) | (n|(~(~(((o&(f&o))&o)))>(f>r))) | 0 | 0 | 0 | 0 | not entailment |
((o&r)&((f|(n>(o&(n>(n|o)))))|n)) | ((o&~((r&n)))|(((r|f)&(((o|o)|r)|n))>r)) | 1 | 0 | 1 | 0 | entailment |
((((r|n)|((r&n)>(n>n)))|(o>((o|o)>f)))&n) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
((o&r)&((f|(n>(o&(n>(n|o)))))|n)) | ~(~(n)) | 0 | 1 | 1 | 1 | not entailment |
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