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 |
|---|---|---|---|---|---|---|
(~(~((((q>q)|(q>l))|(l>q))))>~(~(q))) | (((q&(l|q))&(l>l))&(q|(l>q))) | 1 | 1 | 1 | 1 | entailment |
(~(l)&((l>~(((q|q)>~(l))))>(q>l))) | (((q&(l|q))&(l>l))&(q|(l>q))) | 0 | 1 | 1 | 0 | not entailment |
(~(~((((q>q)|(q>l))|(l>q))))>~(~(q))) | (~(~((q>(q>((l&(l|l))&(q&(l&q)))))))|l) | 0 | 1 | 1 | 1 | not entailment |
(l|l) | (q|l) | 1 | 1 | 0 | 0 | entailment |
~((l|q)) | (q>~((q&q))) | 1 | 0 | 1 | 1 | entailment |
(l|l) | (q>~((q&q))) | 0 | 0 | 0 | 0 | not entailment |
~((l|q)) | (q|l) | 0 | 1 | 1 | 0 | not entailment |
((q|l)&l) | (q|l) | 1 | 1 | 1 | 1 | entailment |
(~(l)&~(~((q>l)))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
((q|l)&l) | ~(q) | 0 | 1 | 1 | 0 | not entailment |
(~(l)&~(~((q>l)))) | (q|l) | 0 | 1 | 1 | 0 | not entailment |
(l|l) | ((q&(l>l))>(l&q)) | 1 | 0 | 0 | 0 | entailment |
(l>(~(l)&(((q|l)>q)>q))) | ~((~(q)&(l|l))) | 1 | 1 | 1 | 1 | entailment |
(l|l) | ~((~(q)&(l|l))) | 0 | 0 | 0 | 0 | not entailment |
(l>(~(l)&(((q|l)>q)>q))) | ((q&(l>l))>(l&q)) | 0 | 1 | 1 | 1 | not entailment |
~(((q>(l&q))>l)) | ((l&l)>(l&(q>~((q&q))))) | 1 | 0 | 1 | 1 | entailment |
(q|q) | (((q|(l>q))>l)|(q&(q|q))) | 1 | 0 | 0 | 0 | entailment |
~(((q>(l&q))>l)) | (((q|(l>q))>l)|(q&(q|q))) | 0 | 0 | 1 | 1 | not entailment |
(q|q) | ((l&l)>(l&(q>~((q&q))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(~((m|~((y|w)))))))&m) | (((m|w)|n)|(n&(~(o)|l))) | 1 | 1 | 0 | 0 | entailment |
~((o>l)) | (o|~((m&y))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(~((m|~((y|w)))))))&m) | (o|~((m&y))) | 0 | 1 | 0 | 0 | not entailment |
~((o>l)) | (((m|w)|n)|(n&(~(o)|l))) | 0 | 0 | 0 | 0 | not entailment |
(l|~(((n|(y>l))|(m|n)))) | (~(((l&w)&y))>(m>(y>l))) | 1 | 1 | 0 | 0 | entailment |
~(o) | (b|(o>b)) | 1 | 0 | 0 | 0 | entailment |
(l|~(((n|(y>l))|(m|n)))) | (b|(o>b)) | 0 | 1 | 0 | 0 | not entailment |
~(o) | (~(((l&w)&y))>(m>(y>l))) | 0 | 0 | 0 | 0 | not entailment |
((w&b)&l) | ~((o&(~(((w|m)&(w|y)))&l))) | 1 | 0 | 0 | 0 | entailment |
((n>o)&o) | (o|n) | 1 | 1 | 1 | 0 | entailment |
((w&b)&l) | (o|n) | 0 | 1 | 0 | 0 | not entailment |
((n>o)&o) | ~((o&(~(((w|m)&(w|y)))&l))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((b|b)))&m) | (b|~((~(w)&o))) | 1 | 1 | 0 | 0 | entailment |
(w>(((~(w)&(o&(l>w)))|y)&n)) | (w>((n|l)|y)) | 1 | 1 | 1 | 0 | entailment |
(~(~((b|b)))&m) | (w>((n|l)|y)) | 0 | 1 | 0 | 0 | not entailment |
(w>(((~(w)&(o&(l>w)))|y)&n)) | (b|~((~(w)&o))) | 0 | 1 | 0 | 0 | not entailment |
(~(y)&(~(((y|w)>~(l)))&~((l>~(l))))) | (((y>w)|~((n>~((w>n)))))&(y>(m|w))) | 1 | 1 | 0 | 0 | entailment |
(y|((~((b&n))>(~((b&(w>b)))>m))&o)) | ((m|b)|((y|m)|(o|(o&((o&w)&o))))) | 1 | 1 | 1 | 0 | entailment |
(~(y)&(~(((y|w)>~(l)))&~((l>~(l))))) | ((m|b)|((y|m)|(o|(o&((o&w)&o))))) | 0 | 1 | 0 | 0 | not entailment |
(y|((~((b&n))>(~((b&(w>b)))>m))&o)) | (((y>w)|~((n>~((w>n)))))&(y>(m|w))) | 0 | 1 | 1 | 0 | not entailment |
((l>~((((l&l)&m)&(l|m))))&w) | ((~(~((b|(w>o))))>y)>(n>w)) | 1 | 1 | 0 | 0 | entailment |
(~((w|n))|~(((~((b|~(m)))>y)>m))) | ~(((m&b)&(~(((b|o)>(b>(n&y))))&n))) | 1 | 1 | 0 | 0 | entailment |
((l>~((((l&l)&m)&(l|m))))&w) | ~(((m&b)&(~(((b|o)>(b>(n&y))))&n))) | 0 | 0 | 0 | 0 | not entailment |
(~((w|n))|~(((~((b|~(m)))>y)>m))) | ((~(~((b|(w>o))))>y)>(n>w)) | 0 | 1 | 0 | 0 | not entailment |
(~(((w>n)>(m|m)))|~(m)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
(l&(m&~(n))) | (((n&w)>~((y>~(w))))&~(((b&o)&n))) | 1 | 0 | 0 | 0 | entailment |
(~(((w>n)>(m|m)))|~(m)) | (((n&w)>~((y>~(w))))&~(((b&o)&n))) | 0 | 0 | 0 | 0 | not entailment |
(l&(m&~(n))) | ~(m) | 0 | 1 | 1 | 0 | not entailment |
(((m&o)|w)&m) | (~((l|o))>(((w>(o>b))&(y&y))|m)) | 1 | 0 | 0 | 0 | entailment |
~(l) | (~((y&~(l)))>(~(b)>(l>(o>b)))) | 1 | 0 | 0 | 0 | entailment |
(((m&o)|w)&m) | (~((y&~(l)))>(~(b)>(l>(o>b)))) | 0 | 0 | 0 | 0 | not entailment |
~(l) | (~((l|o))>(((w>(o>b))&(y&y))|m)) | 0 | 0 | 0 | 0 | not entailment |
~((n>o)) | ~(((w&o)|~((y>(m|n))))) | 1 | 0 | 0 | 0 | entailment |
(l&(n&(n|m))) | ~(~((m|l))) | 1 | 1 | 1 | 1 | entailment |
~((n>o)) | ~(~((m|l))) | 0 | 0 | 0 | 0 | not entailment |
(l&(n&(n|m))) | ~(((w&o)|~((y>(m|n))))) | 0 | 0 | 0 | 0 | not entailment |
(~(b)&~(y)) | ~(b) | 1 | 1 | 1 | 1 | entailment |
~(~(l)) | (~((l|w))>w) | 1 | 0 | 0 | 0 | entailment |
(~(b)&~(y)) | (~((l|w))>w) | 0 | 1 | 0 | 0 | not entailment |
~(~(l)) | ~(b) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(w)|b))>((y|(~(y)&w))>(o&m)))) | (b>n) | 1 | 1 | 0 | 0 | entailment |
~(((n|m)|o)) | ~(m) | 1 | 1 | 1 | 1 | entailment |
~((~((~(w)|b))>((y|(~(y)&w))>(o&m)))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~(((n|m)|o)) | (b>n) | 0 | 1 | 0 | 0 | not entailment |
(n&((o&y)&o)) | (((~((o&b))|(b|o))>w)>(m>o)) | 1 | 0 | 0 | 0 | entailment |
(((y&l)&(o>o))&y) | (((m&~(m))|(b&~((m|~(y)))))>l) | 1 | 0 | 0 | 0 | entailment |
(n&((o&y)&o)) | (((m&~(m))|(b&~((m|~(y)))))>l) | 0 | 0 | 0 | 0 | not entailment |
(((y&l)&(o>o))&y) | (((~((o&b))|(b|o))>w)>(m>o)) | 0 | 0 | 0 | 0 | not entailment |
~(((n&(b>w))>((n|(m>(l&l)))>o))) | (~((m|n))>l) | 1 | 1 | 1 | 0 | entailment |
(y&y) | (y&((b>o)|~((~(l)&o)))) | 1 | 0 | 0 | 0 | entailment |
~(((n&(b>w))>((n|(m>(l&l)))>o))) | (y&((b>o)|~((~(l)&o)))) | 0 | 1 | 0 | 0 | not entailment |
(y&y) | (~((m|n))>l) | 0 | 0 | 0 | 0 | not entailment |
((l&~(m))&~((~(w)&n))) | ((w>w)>(~(m)|~(~((y>n))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((n|b)))) | (n>(((m>w)>o)&((y>~(m))>b))) | 1 | 0 | 0 | 0 | entailment |
((l&~(m))&~((~(w)&n))) | (n>(((m>w)>o)&((y>~(m))>b))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((n|b)))) | ((w>w)>(~(m)|~(~((y>n))))) | 0 | 0 | 0 | 0 | not entailment |
((m>n)>~((((n&(w>y))>(b|~(b)))|w))) | ~((~((y&n))>~(m))) | 1 | 1 | 1 | 0 | entailment |
~(((y&(w>l))>(m&y))) | (((((m|m)&w)|o)|(((n|o)>n)&(y|(y&o))))|b) | 1 | 0 | 0 | 0 | entailment |
((m>n)>~((((n&(w>y))>(b|~(b)))|w))) | (((((m|m)&w)|o)|(((n|o)>n)&(y|(y&o))))|b) | 0 | 0 | 0 | 0 | not entailment |
~(((y&(w>l))>(m&y))) | ~((~((y&n))>~(m))) | 0 | 1 | 0 | 0 | not entailment |
(v>~(((v|~((f>~(~((r&k))))))&(r>c)))) | (p>(((k&v)>~(v))|((c&r)|(r|(n&k))))) | 1 | 1 | 0 | 0 | entailment |
((c>(((v>f)|n)>(c>c)))&(((f|f)>h)&c)) | (((p|n)>(h|v))|((~(m)>(f>v))>((v|f)>n))) | 1 | 0 | 0 | 0 | entailment |
(v>~(((v|~((f>~(~((r&k))))))&(r>c)))) | (((p|n)>(h|v))|((~(m)>(f>v))>((v|f)>n))) | 0 | 1 | 0 | 0 | not entailment |
((c>(((v>f)|n)>(c>c)))&(((f|f)>h)&c)) | (p>(((k&v)>~(v))|((c&r)|(r|(n&k))))) | 0 | 1 | 0 | 0 | not entailment |
((~((r&h))>(f>(m&c)))&((n&~(p))&(c>r))) | ((h>(((~(n)&(p|(r|r)))&c)>m))>(c|n)) | 1 | 1 | 1 | 0 | entailment |
~((~((f>(p&r)))>~((v&(~(c)|h))))) | (v|~(m)) | 1 | 1 | 0 | 0 | entailment |
((~((r&h))>(f>(m&c)))&((n&~(p))&(c>r))) | (v|~(m)) | 0 | 1 | 0 | 0 | not entailment |
~((~((f>(p&r)))>~((v&(~(c)|h))))) | ((h>(((~(n)&(p|(r|r)))&c)>m))>(c|n)) | 0 | 1 | 0 | 0 | not entailment |
(k&(p>(f&r))) | ((n>((m>p)>(n|r)))>((h|k)>(k|r))) | 1 | 0 | 0 | 0 | entailment |
~((m>(((v>n)>(n|c))>r))) | ~(~((~(((m>f)|((k&n)&n)))|(m|h)))) | 1 | 0 | 0 | 0 | entailment |
(k&(p>(f&r))) | ~(~((~(((m>f)|((k&n)&n)))|(m|h)))) | 0 | 0 | 0 | 0 | not entailment |
~((m>(((v>n)>(n|c))>r))) | ((n>((m>p)>(n|r)))>((h|k)>(k|r))) | 0 | 0 | 0 | 0 | not entailment |
((n>~(n))&(((c|f)>(r>(c>v)))&(p&r))) | (((v&p)|~(n))|(r|(v>~(h)))) | 1 | 1 | 0 | 0 | entailment |
(~(m)&(((f&k)|v)|((p>p)|f))) | (m>c) | 1 | 1 | 0 | 0 | entailment |
((n>~(n))&(((c|f)>(r>(c>v)))&(p&r))) | (m>c) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&(((f&k)|v)|((p>p)|f))) | (((v&p)|~(n))|(r|(v>~(h)))) | 0 | 1 | 0 | 0 | not entailment |
((r&c)&~(((c&f)>h))) | (~(~(m))>f) | 1 | 1 | 0 | 0 | entailment |
(v&k) | (v>k) | 1 | 1 | 1 | 0 | entailment |
((r&c)&~(((c&f)>h))) | (v>k) | 0 | 1 | 0 | 0 | not entailment |
(v&k) | (~(~(m))>f) | 0 | 0 | 0 | 0 | not entailment |
(p&(h&k)) | (c|h) | 1 | 1 | 0 | 0 | entailment |
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