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 |
|---|---|---|---|---|---|---|
(m&(c&m)) | (m|(z>(v>c))) | 1 | 0 | 0 | 0 | entailment |
((((z|m)&g)&~(i))&((z>d)>d)) | ((~(g)&(z>c))>v) | 1 | 1 | 0 | 0 | entailment |
(m&(c&m)) | ((~(g)&(z>c))>v) | 0 | 0 | 0 | 0 | not entailment |
((((z|m)&g)&~(i))&((z>d)>d)) | (m|(z>(v>c))) | 0 | 1 | 0 | 0 | not entailment |
((~((g&(z|g)))>g)|(~(~((g>d)))>g)) | (~((~(((z>c)&v))>(z|c)))>(d|g)) | 1 | 1 | 0 | 0 | entailment |
(~((i|(g|z)))&(~(z)|~((d&g)))) | (i>v) | 1 | 1 | 0 | 0 | entailment |
((~((g&(z|g)))>g)|(~(~((g>d)))>g)) | (i>v) | 0 | 1 | 0 | 0 | not entailment |
(~((i|(g|z)))&(~(z)|~((d&g)))) | (~((~(((z>c)&v))>(z|c)))>(d|g)) | 0 | 1 | 0 | 0 | not entailment |
(g|c) | (z>(g|c)) | 1 | 0 | 0 | 0 | entailment |
(m&~(((((d>v)&(i&c))|(z&d))&g))) | (((c&(i|c))>(g>m))|(~(d)>v)) | 1 | 1 | 1 | 0 | entailment |
(g|c) | (((c&(i|c))>(g>m))|(~(d)>v)) | 0 | 0 | 0 | 0 | not entailment |
(m&~(((((d>v)&(i&c))|(z&d))&g))) | (z>(g|c)) | 0 | 1 | 1 | 0 | not entailment |
~((m|~(l))) | ((y|m)>(y|((f>f)>l))) | 1 | 0 | 0 | 0 | entailment |
(~(l)&r) | (~(l)|~((r>((r>z)&n)))) | 1 | 0 | 0 | 0 | entailment |
~((m|~(l))) | (~(l)|~((r>((r>z)&n)))) | 0 | 0 | 0 | 0 | not entailment |
(~(l)&r) | ((y|m)>(y|((f>f)>l))) | 0 | 0 | 0 | 0 | not entailment |
~((~(n)>m)) | (((f>f)&(m>~((y&n))))|(z&n)) | 1 | 0 | 0 | 0 | entailment |
~(((z|y)>r)) | (~((y>l))|(r>l)) | 1 | 0 | 0 | 0 | entailment |
~((~(n)>m)) | (~((y>l))|(r>l)) | 0 | 0 | 0 | 0 | not entailment |
~(((z|y)>r)) | (((f>f)&(m>~((y&n))))|(z&n)) | 0 | 0 | 0 | 0 | not entailment |
((~(f)|(n>y))>((f&(n|r))&~(((m&f)>f)))) | ((z>(r>n))&~(((n>(r&~(r)))&(r&z)))) | 1 | 1 | 0 | 0 | entailment |
(r&((f&y)|(f|f))) | ((f|f)&(r|r)) | 1 | 1 | 1 | 1 | entailment |
((~(f)|(n>y))>((f&(n|r))&~(((m&f)>f)))) | ((f|f)&(r|r)) | 0 | 1 | 1 | 1 | not entailment |
(r&((f&y)|(f|f))) | ((z>(r>n))&~(((n>(r&~(r)))&(r&z)))) | 0 | 0 | 0 | 0 | not entailment |
(z&(f|(((~(n)>(l|l))|f)&l))) | (~(y)>(((n>y)&m)>z)) | 1 | 1 | 0 | 0 | entailment |
~(r) | (r>((m|(f&(r&l)))|(f>y))) | 1 | 0 | 0 | 0 | entailment |
(z&(f|(((~(n)>(l|l))|f)&l))) | (r>((m|(f&(r&l)))|(f>y))) | 0 | 1 | 0 | 0 | not entailment |
~(r) | (~(y)>(((n>y)&m)>z)) | 0 | 0 | 0 | 0 | not entailment |
(((m>l)>~((y&~(r))))&~(n)) | ~(n) | 1 | 1 | 1 | 1 | entailment |
(((r>(~(m)>(m>z)))>l)&m) | (m|l) | 1 | 1 | 1 | 1 | entailment |
(((m>l)>~((y&~(r))))&~(n)) | (m|l) | 0 | 1 | 1 | 0 | not entailment |
(((r>(~(m)>(m>z)))>l)&m) | ~(n) | 0 | 1 | 0 | 0 | not entailment |
~(((~(l)&r)>~((m|n)))) | (((l&l)&~(m))>~((~(m)>n))) | 1 | 0 | 1 | 0 | entailment |
(~(r)&((f&(l&l))&(n&f))) | ~((~(n)&~(z))) | 1 | 1 | 0 | 0 | entailment |
~(((~(l)&r)>~((m|n)))) | ~((~(n)&~(z))) | 0 | 1 | 0 | 0 | not entailment |
(~(r)&((f&(l&l))&(n&f))) | (((l&l)&~(m))>~((~(m)>n))) | 0 | 0 | 0 | 0 | not entailment |
~((l|(((~(n)&r)>y)>(~(f)|l)))) | (f|(y&(~(n)>r))) | 1 | 1 | 1 | 0 | entailment |
~((((f&n)>((f|y)&((n>r)|f)))>~((r|l)))) | (~(~(n))>((r|~((~(z)>l)))|l)) | 1 | 1 | 0 | 0 | entailment |
~((l|(((~(n)&r)>y)>(~(f)|l)))) | (~(~(n))>((r|~((~(z)>l)))|l)) | 0 | 1 | 0 | 0 | not entailment |
~((((f&n)>((f|y)&((n>r)|f)))>~((r|l)))) | (f|(y&(~(n)>r))) | 0 | 1 | 1 | 0 | not entailment |
(m&z) | (l|((n&r)|m)) | 1 | 0 | 0 | 0 | entailment |
((f|r)&~(((~(y)&y)&~((y|(m>z)))))) | (((f|r)|~(m))|((y>r)|r)) | 1 | 1 | 1 | 1 | entailment |
(m&z) | (((f|r)|~(m))|((y>r)|r)) | 0 | 0 | 0 | 0 | not entailment |
((f|r)&~(((~(y)&y)&~((y|(m>z)))))) | (l|((n&r)|m)) | 0 | 1 | 0 | 0 | not entailment |
~((m>n)) | ~((~(((y>f)>m))&~(l))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(n)))&(((n|m)>r)>((r>n)&z))) | (~(((l|(f&r))>(r|~(z))))|~(~(~(r)))) | 1 | 0 | 0 | 0 | entailment |
~((m>n)) | (~(((l|(f&r))>(r|~(z))))|~(~(~(r)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(n)))&(((n|m)>r)>((r>n)&z))) | ~((~(((y>f)>m))&~(l))) | 0 | 1 | 0 | 0 | not entailment |
((l&m)&(f&f)) | (m>(n>(l&f))) | 1 | 1 | 0 | 0 | entailment |
(~((r&(r|~(z))))&(f&z)) | (z&(y>(~(f)>l))) | 1 | 1 | 0 | 0 | entailment |
((l&m)&(f&f)) | (z&(y>(~(f)>l))) | 0 | 0 | 0 | 0 | not entailment |
(~((r&(r|~(z))))&(f&z)) | (m>(n>(l&f))) | 0 | 1 | 0 | 0 | not entailment |
(((l&f)&(n|y))&((~(((n|f)>y))|r)&z)) | (r>f) | 1 | 1 | 1 | 0 | entailment |
((l>(m&n))>(~(m)&~((n|(z&l))))) | ((m&n)>~((y|((y>n)>m)))) | 1 | 1 | 0 | 0 | entailment |
(((l&f)&(n|y))&((~(((n|f)>y))|r)&z)) | ((m&n)>~((y|((y>n)>m)))) | 0 | 1 | 0 | 0 | not entailment |
((l>(m&n))>(~(m)&~((n|(z&l))))) | (r>f) | 0 | 1 | 0 | 0 | not entailment |
(l&f) | (l|(~(((y&l)>m))|~((l|m)))) | 1 | 0 | 0 | 0 | entailment |
((n>z)&m) | (((n|l)&y)>(l>m)) | 1 | 0 | 0 | 0 | entailment |
(l&f) | (((n|l)&y)>(l>m)) | 0 | 0 | 0 | 0 | not entailment |
((n>z)&m) | (l|(~(((y&l)>m))|~((l|m)))) | 0 | 0 | 0 | 0 | not entailment |
(m&(~(((z&(n>f))&(y|y)))&(l|r))) | (r|((r&r)|(l|l))) | 1 | 1 | 1 | 1 | entailment |
(z|y) | (z|y) | 1 | 1 | 1 | 1 | entailment |
(m&(~(((z&(n>f))&(y|y)))&(l|r))) | (z|y) | 0 | 1 | 1 | 0 | not entailment |
(z|y) | (r|((r&r)|(l|l))) | 0 | 0 | 0 | 0 | not entailment |
(r&(~(y)&z)) | ((f|y)|((z|m)&r)) | 1 | 0 | 0 | 0 | entailment |
(m|y) | ((f|y)|(z>m)) | 1 | 0 | 0 | 0 | entailment |
(r&(~(y)&z)) | ((f|y)|(z>m)) | 0 | 1 | 0 | 0 | not entailment |
(m|y) | ((f|y)|((z|m)&r)) | 0 | 0 | 0 | 0 | not entailment |
((r&y)&((~((z>n))>r)>(r>r))) | (y|(r|(n&y))) | 1 | 1 | 1 | 0 | entailment |
~(((n|r)|(z&y))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
((r&y)&((~((z>n))>r)>(r>r))) | ~(r) | 0 | 1 | 1 | 1 | not entailment |
~(((n|r)|(z&y))) | (y|(r|(n&y))) | 0 | 1 | 1 | 0 | not entailment |
(d&((d>b)&b)) | (d&d) | 1 | 1 | 1 | 1 | entailment |
~((((b|d)&d)|(~(d)>~((d|(b|b)))))) | ~((((d>b)>b)>(b&(d&b)))) | 1 | 1 | 1 | 1 | entailment |
(d&((d>b)&b)) | ~((((d>b)>b)>(b&(d&b)))) | 0 | 0 | 1 | 0 | not entailment |
~((((b|d)&d)|(~(d)>~((d|(b|b)))))) | (d&d) | 0 | 1 | 1 | 1 | not entailment |
((((((b>d)&(~(d)>d))>d)&(b&d))>(b&d))&b) | ((b&(b&b))|(~((d&d))|(b&(b&b)))) | 1 | 1 | 1 | 1 | entailment |
(~((((d>b)|(b>d))>b))&~(b)) | (~(b)|d) | 1 | 1 | 1 | 1 | entailment |
((((((b>d)&(~(d)>d))>d)&(b&d))>(b&d))&b) | (~(b)|d) | 0 | 1 | 1 | 1 | not entailment |
(~((((d>b)|(b>d))>b))&~(b)) | ((b&(b&b))|(~((d&d))|(b&(b&b)))) | 0 | 0 | 1 | 1 | not entailment |
~(((~(b)|(b&b))&d)) | (~((~(~(((d&d)|d)))>b))>(b&(b&d))) | 1 | 0 | 1 | 0 | entailment |
(~(((b&b)&b))&(~((b&b))>(d&d))) | ~(~(((b|b)|d))) | 1 | 1 | 1 | 1 | entailment |
~(((~(b)|(b&b))&d)) | ~(~(((b|b)|d))) | 0 | 1 | 1 | 0 | not entailment |
(~(((b&b)&b))&(~((b&b))>(d&d))) | (~((~(~(((d&d)|d)))>b))>(b&(b&d))) | 0 | 0 | 1 | 0 | not entailment |
((b&d)|(b|(~((b>d))&(d|~(b))))) | ((b|((b>d)>b))&(~((b&b))>b)) | 1 | 1 | 1 | 1 | entailment |
~(~((~(~((d|d)))>~((d>(b|(b>d))))))) | ~(((((d|b)&(b|d))|(b|b))&d)) | 1 | 1 | 1 | 1 | entailment |
((b&d)|(b|(~((b>d))&(d|~(b))))) | ~(((((d|b)&(b|d))|(b|b))&d)) | 0 | 1 | 1 | 1 | not entailment |
~(~((~(~((d|d)))>~((d>(b|(b>d))))))) | ((b|((b>d)>b))&(~((b&b))>b)) | 0 | 1 | 1 | 1 | not entailment |
(~(~(d))&~(~((d>b)))) | ~((b&~(d))) | 1 | 1 | 1 | 0 | entailment |
~(((b>d)|~((~(d)|b)))) | (d>~((b|((b>d)&b)))) | 1 | 1 | 1 | 0 | entailment |
(~(~(d))&~(~((d>b)))) | (d>~((b|((b>d)&b)))) | 0 | 1 | 1 | 0 | not entailment |
~(((b>d)|~((~(d)|b)))) | ~((b&~(d))) | 0 | 1 | 1 | 0 | not entailment |
((((d>b)|b)&b)|((((d|d)>d)>d)&(~(d)|b))) | ((b&b)|d) | 1 | 1 | 1 | 1 | entailment |
~((((b&d)|d)|(d|b))) | (~(~((b>(d&(b|(b|d))))))&~(b)) | 1 | 0 | 1 | 0 | entailment |
((((d>b)|b)&b)|((((d|d)>d)>d)&(~(d)|b))) | (~(~((b>(d&(b|(b|d))))))&~(b)) | 0 | 1 | 1 | 0 | not entailment |
~((((b&d)|d)|(d|b))) | ((b&b)|d) | 0 | 1 | 1 | 0 | not entailment |
(d|(d|d)) | (d|(b&~(d))) | 1 | 0 | 0 | 0 | entailment |
(~(~(d))>(~(d)&b)) | (~(((b>d)&d))|~((d|(b|d)))) | 1 | 0 | 1 | 0 | entailment |
(d|(d|d)) | (~(((b>d)&d))|~((d|(b|d)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(d))>(~(d)&b)) | (d|(b&~(d))) | 0 | 1 | 1 | 0 | not entailment |
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