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 |
|---|---|---|---|---|---|---|
((w>(s&r))&p) | (((p|w)|r)&w) | 0 | 1 | 1 | 0 | not entailment |
(q&w) | (l>(l>(k|p))) | 0 | 0 | 0 | 0 | not entailment |
((b|o)&(q|((l&l)>q))) | (b|((s|b)|o)) | 1 | 1 | 0 | 0 | entailment |
~((r>~(((~(q)>f)|(k|(l|(q|r))))))) | ((o|s)|(f>(r|w))) | 1 | 1 | 0 | 0 | entailment |
((b|o)&(q|((l&l)>q))) | ((o|s)|(f>(r|w))) | 0 | 1 | 0 | 0 | not entailment |
~((r>~(((~(q)>f)|(k|(l|(q|r))))))) | (b|((s|b)|o)) | 0 | 1 | 0 | 0 | not entailment |
(w&p) | ((~((q|(q>(s&w))))|o)|((w|p)&~((o&f)))) | 1 | 0 | 0 | 0 | entailment |
(b&s) | (p>s) | 1 | 1 | 0 | 0 | entailment |
(w&p) | (p>s) | 0 | 1 | 0 | 0 | not entailment |
(b&s) | ((~((q|(q>(s&w))))|o)|((w|p)&~((o&f)))) | 0 | 0 | 0 | 0 | not entailment |
~((((k|p)&((q&(q>l))>s))>((q|k)|(k&w)))) | (p|(((f|p)&s)|k)) | 1 | 1 | 0 | 0 | entailment |
(((r|f)&o)&~((f>(o>r)))) | ~(~((k|f))) | 1 | 1 | 0 | 0 | entailment |
~((((k|p)&((q&(q>l))>s))>((q|k)|(k&w)))) | ~(~((k|f))) | 0 | 1 | 0 | 0 | not entailment |
(((r|f)&o)&~((f>(o>r)))) | (p|(((f|p)&s)|k)) | 0 | 1 | 0 | 0 | not entailment |
~(~((k&((s>l)&s)))) | ((l&s)|(~((((l>o)&s)&(p&w)))&s)) | 1 | 0 | 0 | 0 | entailment |
((r&(~(((f|(f&q))&o))>(~(~(f))&k)))&q) | (l>((w&(k&l))>~((~(q)&b)))) | 1 | 1 | 0 | 0 | entailment |
~(~((k&((s>l)&s)))) | (l>((w&(k&l))>~((~(q)&b)))) | 0 | 0 | 0 | 0 | not entailment |
((r&(~(((f|(f&q))&o))>(~(~(f))&k)))&q) | ((l&s)|(~((((l>o)&s)&(p&w)))&s)) | 0 | 1 | 0 | 0 | not entailment |
(k&(~(y)|(y&n))) | (~((n>k))>(k&(k|~(n)))) | 1 | 0 | 1 | 0 | entailment |
(r&j) | ((j|n)&(y>(r|f))) | 1 | 0 | 0 | 0 | entailment |
(k&(~(y)|(y&n))) | ((j|n)&(y>(r|f))) | 0 | 1 | 0 | 0 | not entailment |
(r&j) | (~((n>k))>(k&(k|~(n)))) | 0 | 0 | 0 | 0 | not entailment |
~((n|~(r))) | ((~(k)|r)>((k|j)>r)) | 1 | 0 | 0 | 0 | entailment |
~((((j>o)|(((j|k)>y)|n))&(n>y))) | ((~((n>((d>j)|y)))|(k|(((d|j)|f)&j)))|n) | 1 | 0 | 0 | 0 | entailment |
~((n|~(r))) | ((~((n>((d>j)|y)))|(k|(((d|j)|f)&j)))|n) | 0 | 0 | 0 | 0 | not entailment |
~((((j>o)|(((j|k)>y)|n))&(n>y))) | ((~(k)|r)>((k|j)>r)) | 0 | 1 | 0 | 0 | not entailment |
~(((f>(~((o&n))|(n&(f>(n&(n&k))))))&f)) | ((~(f)&(j>(k&d)))|((n|o)|(d|(y|j)))) | 1 | 1 | 0 | 0 | entailment |
((~(~((r>r)))|(o>n))&~(r)) | ((n|r)>(n|(y>d))) | 1 | 1 | 0 | 0 | entailment |
~(((f>(~((o&n))|(n&(f>(n&(n&k))))))&f)) | ((n|r)>(n|(y>d))) | 0 | 1 | 0 | 0 | not entailment |
((~(~((r>r)))|(o>n))&~(r)) | ((~(f)&(j>(k&d)))|((n|o)|(d|(y|j)))) | 0 | 0 | 0 | 0 | not entailment |
((r>y)&o) | ((~(y)>~(y))&o) | 1 | 0 | 1 | 0 | entailment |
~(((d&y)|~((((n|y)&k)&d)))) | ((f>r)|((d>((d|f)|k))>((j&o)|(f>d)))) | 1 | 0 | 0 | 0 | entailment |
((r>y)&o) | ((f>r)|((d>((d|f)|k))>((j&o)|(f>d)))) | 0 | 0 | 0 | 0 | not entailment |
~(((d&y)|~((((n|y)&k)&d)))) | ((~(y)>~(y))&o) | 0 | 1 | 0 | 0 | not entailment |
~(r) | ~(((~((((k>j)>r)&~(j)))&r)&r)) | 1 | 0 | 0 | 0 | entailment |
(j&(n|~((r|((((f|n)|y)>o)|~(y)))))) | (j|d) | 1 | 1 | 0 | 0 | entailment |
~(r) | (j|d) | 0 | 1 | 0 | 0 | not entailment |
(j&(n|~((r|((((f|n)|y)>o)|~(y)))))) | ~(((~((((k>j)>r)&~(j)))&r)&r)) | 0 | 1 | 0 | 0 | not entailment |
~((((j>d)>(n|r))|~(o))) | (f|o) | 1 | 1 | 0 | 0 | entailment |
(j&((f>r)>((d|r)>~(~((r|(j|o))))))) | ((k>j)|(r&y)) | 1 | 1 | 0 | 0 | entailment |
~((((j>d)>(n|r))|~(o))) | ((k>j)|(r&y)) | 0 | 1 | 0 | 0 | not entailment |
(j&((f>r)>((d|r)>~(~((r|(j|o))))))) | (f|o) | 0 | 1 | 1 | 1 | not entailment |
~((~((~(o)|~(k)))>((y&k)>~((r&n))))) | (y&r) | 1 | 1 | 1 | 1 | entailment |
(~((~(j)>(y>n)))&d) | (k>(j>~(k))) | 1 | 1 | 0 | 0 | entailment |
~((~((~(o)|~(k)))>((y&k)>~((r&n))))) | (k>(j>~(k))) | 0 | 1 | 0 | 0 | not entailment |
(~((~(j)>(y>n)))&d) | (y&r) | 0 | 1 | 0 | 0 | not entailment |
~(((k&((((y>r)&n)>o)&~((d&~(o)))))>n)) | (((r|k)&~((j&d)))|(k&d)) | 1 | 1 | 0 | 0 | entailment |
((((y>o)|(n>(k>(o>y))))|(j&~(j)))&~(j)) | ((f>j)>(((d>f)>~(f))|(n|(r>((r|y)&o))))) | 1 | 1 | 0 | 0 | entailment |
~(((k&((((y>r)&n)>o)&~((d&~(o)))))>n)) | ((f>j)>(((d>f)>~(f))|(n|(r>((r|y)&o))))) | 0 | 1 | 0 | 0 | not entailment |
((((y>o)|(n>(k>(o>y))))|(j&~(j)))&~(j)) | (((r|k)&~((j&d)))|(k&d)) | 0 | 1 | 0 | 0 | not entailment |
((y&o)&~(r)) | ((n&k)>(n>y)) | 1 | 1 | 0 | 0 | entailment |
((y>k)&(((k>n)&d)&j)) | ((((r&k)|y)&~(((r>(f|k))&~(n))))>(d|f)) | 1 | 0 | 0 | 0 | entailment |
((y&o)&~(r)) | ((((r&k)|y)&~(((r>(f|k))&~(n))))>(d|f)) | 0 | 0 | 0 | 0 | not entailment |
((y>k)&(((k>n)&d)&j)) | ((n&k)>(n>y)) | 0 | 1 | 1 | 0 | not entailment |
(~((d|(f&d)))&((j|k)>d)) | ((((j>r)|~(r))>d)>(k|(d&o))) | 1 | 0 | 0 | 0 | entailment |
~((d>(y|r))) | (r>(((n>j)>((r|y)&j))>(o&(n|k)))) | 1 | 0 | 0 | 0 | entailment |
(~((d|(f&d)))&((j|k)>d)) | (r>(((n>j)>((r|y)&j))>(o&(n|k)))) | 0 | 0 | 0 | 0 | not entailment |
~((d>(y|r))) | ((((j>r)|~(r))>d)>(k|(d&o))) | 0 | 0 | 0 | 0 | not entailment |
(((~(f)|n)|((n>f)|o))>k) | (~((o|k))>~(~(((k>r)&~(r))))) | 1 | 0 | 0 | 0 | entailment |
(r|(r&f)) | (~((~((k|j))&r))>(f>r)) | 1 | 0 | 0 | 0 | entailment |
(((~(f)|n)|((n>f)|o))>k) | (~((~((k|j))&r))>(f>r)) | 0 | 1 | 0 | 0 | not entailment |
(r|(r&f)) | (~((o|k))>~(~(((k>r)&~(r))))) | 0 | 0 | 0 | 0 | not entailment |
((~((n|(d&o)))|o)&(d&((j&o)>o))) | ((f&f)|d) | 1 | 1 | 0 | 0 | entailment |
(o&((((r&y)|(j>n))|f)&(r|o))) | (~(~(k))>((o|r)|r)) | 1 | 1 | 0 | 0 | entailment |
((~((n|(d&o)))|o)&(d&((j&o)>o))) | (~(~(k))>((o|r)|r)) | 0 | 1 | 0 | 0 | not entailment |
(o&((((r&y)|(j>n))|f)&(r|o))) | ((f&f)|d) | 0 | 1 | 0 | 0 | not entailment |
((n&j)&k) | (((f&~(o))|y)>(r>(n|o))) | 1 | 0 | 0 | 0 | entailment |
((y&~((r>(k|o))))&(d>~(~(y)))) | ((j&f)>(o>(y&(n|(y&d))))) | 1 | 1 | 0 | 0 | entailment |
((n&j)&k) | ((j&f)>(o>(y&(n|(y&d))))) | 0 | 0 | 0 | 0 | not entailment |
((y&~((r>(k|o))))&(d>~(~(y)))) | (((f&~(o))|y)>(r>(n|o))) | 0 | 1 | 0 | 0 | not entailment |
~((k|y)) | ((k>(f>~(~(((o>~(j))>n)))))|(y>j)) | 1 | 0 | 0 | 0 | entailment |
(r&r) | (d|r) | 1 | 1 | 0 | 0 | entailment |
~((k|y)) | (d|r) | 0 | 1 | 0 | 0 | not entailment |
(r&r) | ((k>(f>~(~(((o>~(j))>n)))))|(y>j)) | 0 | 0 | 0 | 0 | not entailment |
((f|y)>n) | ((((y|d)>r)>((o>k)>(n|k)))|~(f)) | 1 | 0 | 0 | 0 | entailment |
~(~(y)) | ((d&(o|(o&(y&n))))|y) | 1 | 0 | 0 | 0 | entailment |
((f|y)>n) | ((d&(o|(o&(y&n))))|y) | 0 | 0 | 0 | 0 | not entailment |
~(~(y)) | ((((y|d)>r)>((o>k)>(n|k)))|~(f)) | 0 | 0 | 0 | 0 | not entailment |
(o&((n|y)>r)) | ((~((f&y))|r)|(n>(j|r))) | 1 | 0 | 0 | 0 | entailment |
~(~((~(f)>r))) | ~(((o&j)&~((f|(o&r))))) | 1 | 0 | 0 | 0 | entailment |
(o&((n|y)>r)) | ~(((o&j)&~((f|(o&r))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(f)>r))) | ((~((f&y))|r)|(n>(j|r))) | 0 | 0 | 0 | 0 | not entailment |
~(((o&n)>d)) | (n|r) | 1 | 1 | 0 | 0 | entailment |
((k>((y>f)|(f&r)))>(k|r)) | ((j>f)>(r|k)) | 1 | 1 | 0 | 0 | entailment |
~(((o&n)>d)) | ((j>f)>(r|k)) | 0 | 1 | 0 | 0 | not entailment |
((k>((y>f)|(f&r)))>(k|r)) | (n|r) | 0 | 1 | 0 | 0 | not entailment |
(j&b) | ((~(((r>b)|(p&r)))>(j|p))>(p|j)) | 1 | 0 | 0 | 0 | entailment |
((r|~(((b>b)>j)))&~((j|p))) | (r|~(j)) | 1 | 1 | 1 | 1 | entailment |
(j&b) | (r|~(j)) | 0 | 0 | 0 | 0 | not entailment |
((r|~(((b>b)>j)))&~((j|p))) | ((~(((r>b)|(p&r)))>(j|p))>(p|j)) | 0 | 0 | 1 | 0 | not entailment |
(j&j) | ((~(j)|(p>j))&j) | 1 | 0 | 0 | 0 | entailment |
(~(b)&p) | ((r|~(((j>~(p))|j)))>(~(j)|((b>p)&p))) | 1 | 0 | 0 | 0 | entailment |
(j&j) | ((r|~(((j>~(p))|j)))>(~(j)|((b>p)&p))) | 0 | 0 | 0 | 0 | not entailment |
(~(b)&p) | ((~(j)|(p>j))&j) | 0 | 0 | 0 | 0 | not entailment |
(~((~((j|b))&~((b>(p|j)))))&j) | (j|(j&j)) | 1 | 1 | 1 | 1 | entailment |
(~(~(((r|(r&j))|((j|(p|j))|b))))&(b&p)) | (((j&~(r))&~((b&((r|(p|j))|b))))>p) | 1 | 1 | 1 | 0 | entailment |
(~((~((j|b))&~((b>(p|j)))))&j) | (((j&~(r))&~((b&((r|(p|j))|b))))>p) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((r|(r&j))|((j|(p|j))|b))))&(b&p)) | (j|(j&j)) | 0 | 1 | 1 | 1 | not entailment |
((((b>j)&(~(p)&(p|j)))&j)&(r>(p&j))) | (r>(b|b)) | 1 | 1 | 1 | 0 | entailment |
((j|~((p&p)))&((b|p)&~(b))) | (~(((p&~(r))&r))>p) | 1 | 1 | 0 | 0 | entailment |
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